diff --git "a/data/dm_maths/full_data/2345_11255.jsonl" "b/data/dm_maths/full_data/2345_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/2345_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Is 37393 less than 37383?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 753, 751, 749, 747, 745?\nAnswer: 743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6 - (2 + 5))*-89. What is the second derivative of 89*b + v*b - 231*b**2 - 169*b wrt b?\nAnswer: -462","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162878974?\nAnswer: 2, 743, 109609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 5*m + 89 - 4 = 0, 0 = 2*u - 5*m - 19. Calculate the smallest common multiple of u and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -20 + 455765?\nAnswer: 455745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -424564, -849127, -1273690?\n\"Answer: -424563*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*(-2)\/8*-6. Suppose 5*l + 3 = 13. Let n(p) = -l*p**3 + 0*p**3 + 5*p - 6*p - p**2 - 3*p**2. Let c(x) = -x**3 - 3*x**2 - x. Calculate d*n(k) - 4*c(k).\nAnswer: -2*k**3 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 123479 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -1006089*o + 5030450. Determine d(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 134901799 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sfs when three letters picked without replacement from {f: 1, m: 2, g: 3, s: 6}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**3 + 2*n**2 - 4. Let u be g(2). Calculate the lowest common multiple of 30 and (-17 + 12)\/(10\/u).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 512865905.\nAnswer: 5, 67, 1530943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((12\/15)\/(8\/6548) - -1)*10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 3*s + 1. What is y(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 113229*o**2. Let h(c) = 2*c. What is h(a(v))?\nAnswer: 226458*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002295 rounded to six decimal places?\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -93 - -55. Let j = -35 - c. Suppose -n = 1, 2*n = -3*o + 6*n + 19. Solve 5*l + j = 3*f + 18, 0 = 2*f + o*l - 15 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 68 and 144?\nAnswer: 2448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 347835.\nAnswer: 1\/115945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 390373 is divided by 6296?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -119*d**2 + 27015*d - 378848. Determine h(212).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -293880 divided by 2370\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 46339*c**2 - 14449?\nAnswer: 92678*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31.23556 - 38.2356. Let q = 873 - 866. Let x = i + q. What is x rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3444111 (base 7) to base 13.\nAnswer: 12136b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*g - 136*f + 137*f - 21, -37*f = -5*g - 81 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7639.003 tonnes in milligrams?\nAnswer: 7639003000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13817 minus -0.092?\nAnswer: 13817.092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 0.3, 57, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w - 30*w - 2*w - 50 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 6) to base 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 341*t**3 - 8*t**2 - 2 + 0*t**2 + 4*t - 343*t**3 - t**2 in the form m*t**2 + y*t + w*t**3 + f and give m.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b**2 + 666*b - 1268*b - 611*b in the form p + n*b + g*b**2 and give n.\nAnswer: -1213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 186*f - 3. What are the prime factors of g(1)?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17550 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 7 + 7 + q in the form d + u*q and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/4 - 65\/(-4). Let p = 6478 - 6458. Calculate the highest common divisor of l and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 399314.9 kilograms?\nAnswer: 399314900000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 - 18. Suppose -5*b + 76 = -c, -5*c - 16 + 4 = -u*b. Does 8 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, -18, 33 in decreasing order.\nAnswer: 47, 33, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence smk when three letters picked without replacement from smsk.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 981 + -468. Let d = -315 + c. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/3 - 76\/(-3). Suppose -2 = m - z, 3*m - y + 1 = -3*z. Calculate the remainder when 3*((-8)\/(-32) - 26\/(-24)) is divided by m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 15.4998, 4, 2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -2*c**2\/5 - 92*c\/5 - 1058\/5 = 0.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 436215*m - 31407485. Give t(72).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -28124, -72249, -116374, -160499?\n\"Answer: -44125*h + 16001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3*o + 4*w = 570, 3*o = -w - 325. Let j be -7 + o\/(-20) - (-6)\/(-4). Let s = 0.4 + -0.2. Which is the nearest to -2\/3? (a) s (b) 0.1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 20, -2\/3, 48, 0.4, 3\/2, 9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 106\/689 - ((-969)\/39 + 1). What is the highest common divisor of 1424 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*i + 173964 = 57*i. What is the greatest common divisor of i and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/(-289) - (-5612)\/(-4896) and 7\/12.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 646?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12813, 25621, 38415, 51189, 63937, 76653, 89331, 101965?\nAnswer: 114549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 143, 3, 231, 0 in ascending order.\nAnswer: 0, 3, 143, 231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, 1\/8, -0.3, -1.242, 10 in ascending order.\nAnswer: -39, -1.242, -0.3, 1\/8, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 8135 = 9*o + 5*i, 3*i - 9 = 0. Calculate the least common multiple of o and 14.\nAnswer: 1624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 226103417, 226103415, 226103413, 226103411, 226103409, 226103407?\n\"Answer: -2*a + 226103419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 4:44 PM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k**2 + 12*k + 14. Let b be t(6). Which is smaller: -2\/5 or b?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 413380 is divided by 413368?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 11775.\nAnswer: -1, 4, 11775","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124 - 122 = -57*s + 210 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89 - 105148*b + 89 + 105151*b.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 66 and 2112594.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-2*sqrt(85)*-5*1)\/(2*2*sqrt(180) - sqrt(180)*-1*4).\nAnswer: -5*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one twentieth of a millimeter?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2872 is divided by 45.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1960)\/(-110) - (-4)\/22. Let u = 20 - f. Solve 4*z + 4*t = -3 - 13, -u*z + t = -4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 331854113931 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/970 and -89\/4.\nAnswer: 1940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 378, 2714, 6568, 11940, 18830?\n\"Answer: 759*h**2 + 59*h - 440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1739554670 and 5810.\nAnswer: 5810","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -6\/13, -0.3 in descending order.\nAnswer: 4, -0.3, -6\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31032287.\nAnswer: 11, 13, 16693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 6:36 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3833933 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 25, -13, -3, -5 in decreasing order.\nAnswer: 25, 3, -3, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u - 1608 = -17*u. Let o be (-4)\/(-14) - 8\/28 - u. Let f = -142 - o. List the prime factors of f.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -920 + 1035. Calculate the remainder when j is divided by ((-2)\/(-2))\/(-1) + 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8)\/4)\/((-4)\/6). Suppose -4*z + 8 = -3*h, 7 = 5*z - 3*h - 3. Suppose 2*k + z = x*k. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 40*h = 264 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k - 4130 - 4134 - 4135 + 12399.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 83832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4800 a factor of 48416678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 3*h - 3*y + 18 = 0, -5*h - 4*y = -19. Suppose 4*g = h*g - 1. What are the prime factors of 50\/8 - g\/(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 334408 rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1807, 1804, 1799, 1792, 1783, 1772?\nAnswer: 1759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (65\/15 + -4)*3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*a**3*k - 8*a**3 + 218*a**2*k - 8*a**2 + 2*a*k + 10521*a - 7*k wrt a?\nAnswer: 24*a*k - 48*a + 436*k - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of c**6\/120 - c**5\/60 + c**4\/24 - 7*c**3\/3 - 11*c - 2. Let b(z) be the second derivative of x(z). What is b(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 50, 326, 1072, 2522, 4910?\n\"Answer: 39*f**3 + f**2 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 2, -2\/7, 0.004, 158?\nAnswer: 158","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -45.85 + 42. Round h to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -m**2\/2 - m + 181. Let c(v) = -v**2 + 4*v + 4. Determine 3*c(p) + 12*u(p).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1682 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 9960.29g?\nAnswer: 9960290000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -32*-11\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -161 - -168. Which is the smallest value? (a) i (b) 0.2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of -s**4 - 10*s**3 + 7*s**2 - 6*s - 135. Calculate the lowest common multiple of i(-8) and 102.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 52646.51 centuries?\nAnswer: 63175812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 81 + -61. Calculate the remainder when 59 is divided by d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 7, c: 4, i: 1, h: 5, s: 1, n: 2}. Give prob of sequence cnnx.\nAnswer: 7\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -317 = -509*i + 2228 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13395 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - -35a65933?\nAnswer: 35a65937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -3. Let p be (-57)\/(-4) + f\/(-16). Suppose 3*j - p = -c, 4*j + 9 = 2*j + 3*c. Solve 0*n - j*t + 19 = -2*n, -2*t = -10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 5 = -2*u, -7276*u + 7227*u = 2*t - 337 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.16, -73\/391, 2?\nAnswer: -73\/391","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 1:25 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4, 77, 272, 649, 1268, 2189, 3472?\n\"Answer: 10*s**3 + s**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/4 - (-3)\/(-12). Suppose z - 23 + 7 = o. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.61159194 to two decimal places.\nAnswer: -7.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1444241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w - i - 23, -2*w - i = -8 - 4 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 121733 and 203683?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5401\/212 or -25?\nAnswer: -5401\/212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -71, 5\/9.\nAnswer: -71, 2\/7, 5\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 42 = 3*a. Suppose -j + 2*v = v - 8, -2*j + v = -a. Suppose -4*b - j = -b, -s - b = -2. Does 2 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 - 12. Let m = -1632 - -1666.6. Let n = f + m. Sort 5, -0.08, n in descending order.\nAnswer: 5, -0.08, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(1539) + 1*(sqrt(1539) + sqrt(1539) + -2 + sqrt(1539) + sqrt(1539)) + sqrt(1539))**2 - (5 + (sqrt(1539) + -1)*-3 + sqrt(1539))**2.\nAnswer: -792*sqrt(19) + 270820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21539?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12830*u**3*v**2 - 19146395*u**3 - 2316*u*v**2 wrt v?\nAnswer: -25660*u**3*v - 4632*u*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - (-5)\/2)*(-6)\/7. What is the closest to -0.1 in -1, k, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*l - 901*l + 131*l - 7232 = 0 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5723\/139 or -41?\nAnswer: -5723\/139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -775655860 by -193913965.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.026 - 8.226. Let v = 8.2244 + z. Let d = v + -0.024609. Round d to five dps.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/3*v**2 + 0 + 0*v**4 - 3\/2*v**3 + 1\/6*v**5 + 2*v = 0.\nAnswer: -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.01 + 1.01. Put j, 3\/4, -2\/5 in descending order.\nAnswer: j, 3\/4, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2125714 divided by 10319.\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3792187?\nAnswer: 7, 61, 83, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101001011101 (base 2) to base 12.\nAnswer: -1651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (29*j**2 - 4*j**2 + 12*j**2)*(2*j**2 - 2*j**2 + 3*j**2) as q*j**4 + b*j**3 + h*j + a + s*j**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 332482\/29 - 11466. Is w <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.63 - -0.6. Let g = f + -0.27. Which is greater: -2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 21770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 13344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*b**2 - 5 - 2*b**4 - 6*b**2 - 1 + 4 to the form q*b**3 + s*b**4 + j*b**2 + x*b + r and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4003891277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/5 of a decade in years?\nAnswer: 134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - 2)\/((-2)\/3). Let h(j) = -3*j - 70. Let y be h(-25). Suppose -y*o - 70 = -d, 2*d - o - m*o - 116 = 0. Is d a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52819952?\nAnswer: 2, 17, 11423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 56223373 to the nearest integer?\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**3\/11 - 18*h**2\/11 + 48*h\/11 - 32\/11 = 0. What is h?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8360, 8358, 8356, 8354, 8352, 8350?\nAnswer: 8348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 856716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*l*p**3 + 69*l*p + 5067829*l - 117*p**2 - 4*p wrt p.\nAnswer: -9*l*p**2 + 69*l - 234*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-91))\/(12\/(-39)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2249 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -648 + 34?\nAnswer: -614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**12)**(-2\/9) assuming o is positive.\nAnswer: o**(22\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of -q**5\/20 - q**4\/12 + 17*q**3\/6 + q**2 - 579*q. Calculate d(-4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, 0.3, 7, -4701, 2\/13 in decreasing order.\nAnswer: 7, 0.3, 2\/13, -4\/7, -4701","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-18) + 6902\/126. Suppose 181 = 7*p + m. Calculate the smallest common multiple of p and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1130)\/13221*60\/500?\nAnswer: -2\/195","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 74 - 30 - 17 - (25 - -115)?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 4*m + 20, -m - m = 4. Suppose 0 = -3*a - 5*n - 89, -a = 2*a - h*n + 57. Let v = -11 - a. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(121)\/(sqrt(110)\/sqrt(250)).\nAnswer: 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -4*103\nAnswer: -412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m - 14. Let f be b(0). Let p be (-8)\/(-28) + 116\/f. Let a be -2*(-2)\/p*2. Let l(d) = 4*d - 1. Give l(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-10) - 54\/(-10). Let s be 1 - (1 + -7 + 4). Suppose 22 = 4*c - 2*k, -2*c + s*k = c - 24. Solve 6*a - 4*a - c*x - 12 = 0, -19 = -t*a + 2*x for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 1\/3, -0.4, 1\/4, 598 in ascending order.\nAnswer: -0.4, 1\/4, 1\/3, 11, 598","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49, 115, 229, 415, 697?\nAnswer: 1099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -184 divided by 8\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a day in seconds?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 740?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011 + 10001001111010101010110001?\nAnswer: 10001001111010101010010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16908 is divided by 61?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 o when two letters picked without replacement from miioxqj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 20501 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.12 + 0. Let o = 0.32 + i. Suppose -22*p + 9*p = 35*p. What is the smallest value in p, 0.5, o?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1394905177?\nAnswer: 1394905177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 9:37 PM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 477854933 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 113331 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.06724 - -1.93276. What is the nearest to -19 in r, 4\/3, -51?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9753 take away 7714?\nAnswer: 2039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of -1\/48*o**4 + 0 + 1\/240*o**6 + 0*o - 1\/12*o**3 + 1\/120*o**5 + 2*o**2. Factor u(i).\nAnswer: (i - 1)*(i + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*w**2 - 1941*w + 222001 wrt w.\nAnswer: -12*w - 1941","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z**3 - 9*z**3 + 71*z**3.\nAnswer: 58*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2053 - -2054.6. What is the closest to -1 in t, -8, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6526194 and 489.\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -295 - -343. Let h = 37 + 3. Calculate the greatest common factor of t and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"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: What is 50d848 (base 14) in base 8?\nAnswer: 12315030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, r: 16}. What is prob of picking 4 r?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7011 + -7009. What is the nearest to -1 in s, 0.3, -3, -4162?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2845093 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 616.49517 rounded to one decimal place?\nAnswer: 616.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 232 and 80861272.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 262 - 543 + 309 - 7*f + 16*f**2 - 17*f**2. Calculate t(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -41*a**6 + 82*a**3 - 3*a**2 + 282*a + 1?\nAnswer: -4920*a**3 + 492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 33\/7, 1\/6, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/3)\/h)\/h)**(3\/2) assuming h is positive.\nAnswer: h**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6 - 2 - 3)*(-2 + 9 - 2) + 0 + 3 - 2)*((k + 0*k + 0*k)*(-5*k + 3*k + 0*k) + k**2 + 0 + 0 - 5*k**2 + 5*k**2 + 3*k**2).\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - 1. Let l be (-354)\/42 - 6\/i. Let s = -3 - l. Which is the second biggest value? (a) 6 (b) s (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (14706\/378)\/((-4)\/(-570)). Let g = y + -5549. Find the common denominator of 99\/4 and g.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 200064, 400150, 600236, 800322?\n\"Answer: 200086*u - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 2*g - t - 10, 0 = -g + 3*t + 3. Let a = 7 - g. Solve -4*y - 12 = 0, -4*l - 4*y + a = -3 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295781807 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6405 is divided by 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -19, -38, -85, -172, -311, -514, -793?\n\"Answer: -2*n**3 - 2*n**2 + n - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 5 + (-17)\/(68\/24).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17\/21 - -8\/7. What is the biggest value in -1\/2, -3, 6\/5, y?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from ygqyyqygyqqqy.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 118 = -5*k, -2*k + 1 = -9. Suppose 10 = -3*w + i. Let g = 8 - -5. Calculate the remainder when g is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 5*d**2. Let q(s) = -2*s**3 + 5*s**2. Let h(a) = 4*a**3 + a**2. Let n be h(-1). Calculate n*q(l) - 4*g(l).\nAnswer: 2*l**3 + 5*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 818 is divided by 40?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 50*d**4\/23 + 4840*d**3\/23 + 5176*d**2 + 92928*d\/23 + 18432\/23 = 0.\nAnswer: -48, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 771 = n + 774 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 2*v - 3. Let c(x) = -x**3 + x**2 - x + 1. Let k(a) = 14*a**3 - 10*a**2 + 12*a - 14. Determine v*k(d) + 12*c(d).\nAnswer: 2*d**3 + 2*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tmx when three letters picked without replacement from xlmxsxxsstm?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + 2*d + 3*d + (4*d - d - 4*d)*(-1 + 1 - 1))*(7 - 7 + 8*d)*(1 - 2 + 0).\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/3 (b) 7 (c) 43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 1.19.\nAnswer: 0.119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10217673 is divided by 1245?\nAnswer: 1203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of 0 + 0*s**3 - 1\/8*s**4 + 13*s**2 + 0*s. Let f(d) = -3*d**2. Give f(r(a)).\nAnswer: -27*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 122 = -15*s, -s + 44 - 34 = i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 2) in base 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 83 + 6 + 8*y**3 + 70.\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29494\/3 + -10190. Let p = y + 359. Suppose -8\/3 - 2*q**2 - p*q**3 - 4*q = 0. What is q?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of 49\/3*n**3 + 0*n**5 - 64\/7*n**7 - 2*n + 0*n**2 + 0*n**6 + 0*n**4 - 21. Find the third derivative of k(i) wrt i.\nAnswer: -7680*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of v**3 + 5*v**2\/2 + 2*v. Let n(q) = q + 1. Let y(x) = 5*n(x) - r(x). Let z(w) = w - 4 + 4. Calculate y(z(k)).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 6 = -5*p + d, -3*d + 18 = p. Let u be -2 + 10 - 9\/p*1. Suppose 0*g = -u*g - 3*a + 169, 4*a = 2*g - 52. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-315)\/(-70)*3*2\/(-18)*12.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 7, -2, 7778, -1.\nAnswer: -5, -4, -2, -1, 7, 7778","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 75 - (66 - 35 - -5) - -52\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2358551456 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**2*q*s**3 - 17*f**2*q*s**2 + 922*f**2*s + f*q*s + 247*f*s - q*s + 2*s**3 - 2*s + 2 wrt f?\nAnswer: 2*q*s**3 - 34*q*s**2 + 1844*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 166519 and 209552?\nAnswer: 18650128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2. Let u(o) = 334*o. Determine x(u(l)).\nAnswer: 111556*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 100907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 87836891 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-3 + (-8 - -4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(405) + sqrt(405) + (sqrt(405) - (sqrt(405) + -5*(-2 + sqrt(405) - sqrt(405))) - sqrt(405)) - 4*(sqrt(405) - 1*sqrt(405))) + 3)*2)**2.\nAnswer: -504*sqrt(5) + 1816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5725996 and 4376.\nAnswer: 2188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -231 + 297 + (6 - 41)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 469822 equal to 470336?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 91 divided by 1\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 112228193 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 9*u**2 - u - 7. What is h(9)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 36 = -a. What is the lowest common multiple of 7 - (-12)\/12 - -2 and a?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 29271 + 29269 = w, 3*i - 14 = -5*w for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15628 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2210024 divided by -3\nAnswer: 2210024\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*d**2 - 920092994*d + 920092994*d.\nAnswer: -22*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 58689255311 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*f + 1464 = -338 - 421 for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7076?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 866 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15234 + -10289. Let o = m - -355. What is o rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 + -54. Let w = 29.29 + r. What is w rounded to 1 decimal place?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1407080?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 10111011001101?\nAnswer: 10111011010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2056193*w + 2548362 with respect to w.\nAnswer: 2056193","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 - -26. Suppose -96 = -2*r + o. Find the common denominator of -87\/8 and (-1 - (4 + r))\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (8 - (9 + 2 + -8 - -8))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 13714*u - 190829. Calculate o(14).\nAnswer: 1167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 - 6*s - 2. Let z be f(-4). Suppose -z*m = -m - 1055. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/21)*d)**44\/(d*d*(d\/(d*d**(-1\/3)*d))\/d*d*d**(-5\/2)*d*d) assuming d is positive.\nAnswer: d**(575\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - 6*i - 30. Let t be l(9). Let f(p) = 27*p + 3. Let k(d) = 54*d + 5. Let s(b) = t*k(b) + 5*f(b). Let m(u) = -2*u**2. What is m(s(x))?\nAnswer: -1458*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 3\/177673?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2769129 to the nearest integer?\nAnswer: 1664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 307415 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3 + 26*m as i*m + a and give i.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 1165*p**2 - 4114*p**2 + 726*p**2 + 3*p**2 + 0*p**2 - 2*p**2 + (0*p + 2*p - 4*p)*(-2*p + 2*p - 3*p) + 3*p**2 - 3 + 3 as r*p**2 + i + q*p and give r.\nAnswer: -2213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2233 + -2231. Let q(v) be the second derivative of 2\/15*v**6 + 0 + 1\/5*v**5 + 0*v**m - 2\/3*v**3 - 1\/3*v**4 - 6*v. Find c such that q(c) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a micrometer in nanometers?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 444.43 * -41.\nAnswer: -18221.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 157411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(448) + (sqrt(448) - (-1 + sqrt(448))**2) + 2 + -3) + 2.\nAnswer: -96*sqrt(7) + 1352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*t + 8078 - 8078 + 17*t + 8*t.\nAnswer: 33*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 3*q**3 - 32*q**2 - 5*q - 23. Give r(11).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -470 or 41387?\nAnswer: -470","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -23.199 and 1.7.\nAnswer: -39.4383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 15, -2\/15, -0.04, -1.8, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 219*y**3 + y**2 + 7*y + 5. Let t be j(-1). Let p = 222 + t. Let o be (-11)\/(-2) - (-2)\/(-4). Solve -5*a + p*f - 20 = -9, 12 = 3*a + o*f for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 169\/79884 and 53\/1871568.\nAnswer: 13100976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13783021 divided by -20299.\nAnswer: 679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5288961?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(343) + 0) + sqrt(21)\/(sqrt(3) + 2*(sqrt(3) - (1*sqrt(3) + sqrt(3)))).\nAnswer: -29*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -66 + 68. Suppose 4123937 - 923937 = -p*v. Round v to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 5*q + 606 = 0, -r + 3*q - q = -224. Calculate the remainder when 1035 is divided by r.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 329700*c**2 + 5*c - 1. Let y(b) = 2*b. Give y(d(m)).\nAnswer: 659400*m**2 + 10*m - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2261471 + 5?\nAnswer: -2261464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.184733 to two dps.\nAnswer: -2.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 5*u + 1 = -4*u, -5*d = -5*u + 10. Suppose -2*a - d = -a. Suppose -5*c = -3*w - 22, 34*c - 5*w - 42 = 31*c. Is c not equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54 + 44*i**2 - 32*i**2 + 3*i**3 + 2*i - i**4 - 36*i**2 + 25*i**2 to c*i**3 + v*i**4 + b*i**2 + l*i + k and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -956247 by 318749.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5733417364.\nAnswer: 2, 1433354341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4.4? (a) -47 (b) -0.1 (c) 3 (d) -0.0103\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-3))\/(z*z*z*z*z**(-2)*z)*(z\/(z\/(z\/(z**4\/z)*z))*z)\/z*z**4)\/((z**1)**38\/(z\/z**(-1)*z**(-5)\/z)) assuming z is positive.\nAnswer: z**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n + 2. Let y be x(3). Let c(o) = 3*o. Let j(h) = 5*h. Let m(v) = y*j(v) - 8*c(v). Let r(u) = -3*u**2. Calculate m(r(s)).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t\/((t\/(t*(t**(-3\/17)*t)\/t*t))\/t))\/t)\/t)**(-38)*t**(-2\/3)\/t**(-19) assuming t is positive.\nAnswer: t**(-2599\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 22620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 23*g**2 + 26*g - 590. Calculate x(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1852 (base 12) to base 13\nAnswer: 1454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j - 8. Let r be t(-7). Let g(w) = w**2 - 5*w - 4. Let q be g(r). Let d(k) = q + 0*k**2 - 2 - 4*k**2. Let v(x) = x. Calculate d(v(p)).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3 = -10. Let x(y) = 6*y**3 + 5*y - 4 + 3 + 6. Let a(r) = 11*r**3 + 9*r + 9. Determine u*x(z) - 4*a(z).\nAnswer: -2*z**3 - z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 5*n = -24, -3*d - 488 = -5*n - 460 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 13208556, 26417156, 39625756, 52834356, 66042956?\n\"Answer: 13208600*q - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3016)\/(-14) - (-1)\/1. Let m = 216 - p. What is the second biggest value in 4, 0.2, m?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 138419 and 3395?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1876506712*u**2 + 5629520138*u**2 - 1876506718*u**2 - 1876506709*u**2.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 + 19 + (3 - -12) + -1 - -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/5)*z)\/z**(2\/21) assuming z is positive.\nAnswer: z**(53\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -52644*h**2*n**2 - 412*h**2*n + h**2 + 6*h*n + 108*n**3 - 236*n wrt n?\nAnswer: -105288*h**2 + 648*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2979 + -3017. Which is the closest to -0.1? (a) -4 (b) n (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (11 + 212)\/(6\/12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m**3 - 20*m**2 - 30*m + 189. Give n(-5).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/(-2)*(-1 - 1). Suppose 4*u = l + 2, 5*u + 5*l - 3*l - 9 = 0. Let b be 4 + (-1 - u) - 0. Solve -b*s - n*p = 22, -2*s + p = 2*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p - 5. Let z be a(-5). Let w = 2 - z. Suppose -71 = -4*d + 5*i, 0 = 3*d + w*i - 58 - 24. Solve 5*n + d = -5*c - 6, c - 3*n + 2 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - (3 + 0 + -2). Let u(k) = -2*k - k**2 + d*k + 2*k. Let s be 2\/(-1 - -3) + -3. Determine u(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4359, 3, -14, 5, 6 in descending order.\nAnswer: 6, 5, 3, -14, -4359","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.5187454 - -16.518747. Let k = -15 + t. Round k to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136146.6079 rounded to the nearest one thousand?\nAnswer: 136000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of m**5\/20 + m**4 - 13*m**3\/6 + 5*m**2\/2 - m. Let a be s(-13). Let q(y) = -y**2 + 6*y + 5. Determine q(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -697*h = -655*h - 672 for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*z**2 + z**2 + 0*z**2 in the form t*z + q + x*z**2 and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -12867\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13873 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2801*o + 142871. Determine f(51).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 65 (b) 2\/159 (c) 25\/8 (d) -1.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 2, 3, 0.07 in ascending order.\nAnswer: -15, 0.07, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24322 + -110?\nAnswer: -24432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 40 + (-43 - 1)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t + 27, 23 = -5*q + 2*t + 21 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(70)*2 - sqrt(70)) + sqrt(70))*3)\/(1*1*sqrt(10)).\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 7:51 PM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 108, 150, 256, 456, 780, 1258, 1920?\n\"Answer: 5*j**3 + 2*j**2 + j + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/10 + 108\/10. Let o(p) = p - 3. What is the units digit of o(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8.85 + 0.25. Let r = b + 9. Sort r, -2, 0.3 in ascending order.\nAnswer: -2, 0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1221100000 (base 3) in base 10?\nAnswer: 38151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-88 - 1 - -7) + 19 + -6 + -22.\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -82 - 38 - 257727*p + 5*p**3 + 257725*p + 2*p**2 to the form s*p + q*p**2 + a*p**3 + o and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 586, 595, 592, 571, 526?\nAnswer: 451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1364 times -11.85\nAnswer: 16163.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-32))\/3*(4788\/(-7))\/(-9)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -q + 2*z - 10, 2*q - 5*z = 57. Is 9 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70909515 divided by -1.\nAnswer: 70909515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 223*a - 311. Let p(x) = -33*x + 44. Let o(g) = 20*p(g) + 3*y(g). Calculate o(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -32*c + 53 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - 13*q**2 - 4*q - 21. Determine j(-13).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 40*b**2 + 4. Let n be s(40). What is the nearest to 0 in n, -3\/10, -0.4?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 39*p - 387. Suppose 148 = 5*i - 3*o, 0*i + 72 = 2*i + 2*o. What is the remainder when i is divided by q(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.061*7.\nAnswer: -0.427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148 - 148 + 62*o**2 - 5*o**2.\nAnswer: 57*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 152804537?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 297118?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3842 = 625*d + 9151 - 493 for d.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {e: 9, x: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, o: 2, q: 1, n: 1, h: 6, z: 3}. What is prob of sequence nuu?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooooo. Give prob of sequence oooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1752 by 146.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 141174, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, y: 16}. What is prob of picking 2 t?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/6*22\/286?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2123, 8504, 19141, 34034, 53183, 76588, 104249?\n\"Answer: 2128*f**2 - 3*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 - -92. Let d = w + -14. Let l = 234 + -153. What is the greatest common divisor of l and d?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-3*1*sqrt(693))\/sqrt(11) - (1 + (-4 + sqrt(63))*-6)).\nAnswer: -21 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -65, -179, -297, -419?\n\"Answer: -2*o**2 - 108*o + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -7*a + 10*a. Suppose 5*j + 13763 = 4*p, j + a = -j. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.34 + 3.34. Let u = -0.48 + 0.28. Which is the second smallest value? (a) j (b) 0.1 (c) u (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4*q**2 + 3 + 6*q**2)*(-q + 2*q - 2*q).\nAnswer: -2*q**3 - 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -62*v**3 + 207*v**3 + 218*v**3 + 2*v**2 - 2*v**2 + 2*v**3 + (-3 + 3 + v**2)*(4*v - 3*v + 0*v) - 5*v**3 + 0*v**3 + 3*v**3.\nAnswer: 364*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1831 is divided by 47?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 19726515?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 93942183 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 24 = 2*c + 7, 0 = -3*k - 2*c - 7 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 245128404?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t + 8. Let m be x(13). Let i be m + 1\/(-4)*-4. Sort i, 2, 4.\nAnswer: i, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -6. Let b = 5 + w. Let j(g) = -g - 1. Let x(y) = -3*y - 4. Let l(v) = b*x(v) - 4*j(v). Let u(t) = -9*t. Calculate u(l(f)).\nAnswer: -9*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4 + -1 + sqrt(605) + -4).\nAnswer: -55*sqrt(5) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 261 and 1019294?\nAnswer: 1019033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of -169*l**5\/15 + 2405*l**4\/3 - 68450*l**3\/3 + 2*l**2 + 1770. Factor m(g).\nAnswer: -4*(13*g - 185)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-9 + (-3 - -9)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -136 - 14. What are the prime factors of u?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (29\/((-406)\/(-532)))\/(5\/(35\/7)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 4266673.758 to the nearest one hundred thousand.\nAnswer: 4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -5976*w**2 + 71764*w - 624 = 0.\nAnswer: 13\/1494, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27.75 - 28.05. What is the second biggest value in -41.96, -1\/3, l?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1639 + 1630 - (-9 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -92, -201, -312, -425, -540?\n\"Answer: -d**2 - 106*d + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12\/6091 or 0.029?\nAnswer: 0.029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -109, 5, 4 in increasing order.\nAnswer: -109, -5, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 40 + -38. Let l(u) = u + 9*u**2 + u**2 - 4 + 2*u - 9*u**x. Determine l(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/64 of a millimeter in nanometers?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 5*k = -29, 4*k - 2*k = -3*i + 17. Find the common denominator of (i\/36)\/((-4)\/(-111)) and 23\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22.6 - -23. What is the third biggest value in 4, z, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000048891 rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 10:30 PM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 11:40 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00141585 rounded to 4 decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 6979*n + 92740. Determine p(-13).\nAnswer: 2013","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12451 is divided by 1535?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b**2 + 42*b + 6. Let r be u(-21). Solve 2*j + 8 = 0, r*z - 2*z = -j + 16 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44 (base 6) to base 13.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(85) + -2*(sqrt(85)*2 + sqrt(85)))\/(sqrt(5) - (sqrt(5) + (sqrt(5) - (sqrt(245) - 1*sqrt(245))))) + 2)**2*-6 + 4 + 5)*3.\nAnswer: -7695 - 360*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.989986 milligrams in tonnes?\nAnswer: 0.000000005989986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 56\/81, 2, 3\/7, 2\/3, 5, 0.2.\nAnswer: 0.2, 3\/7, 2\/3, 56\/81, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 10:02 PM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 - 11. Suppose 0 = 2*f - f + x*u - 31, -2*f = -5*u - 17. Let i = -97\/6 + f. What is the closest to 0 in -0.4, i, -0.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 34 = 51. Is r a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 o when three letters picked without replacement from {o: 5, t: 4, l: 4, j: 2}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -495b9a3 + 0?\nAnswer: -495b9a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -5*q - 137. Is 1 < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 406 is divided by 395?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((0 + sqrt(13)*-1)**2 - (5*sqrt(468) - sqrt(13))).\nAnswer: -145*sqrt(13) + 65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 15. Let r(f) = -12*f - 16. What is the remainder when r(-5) is divided by k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 126636 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from rrfftrrffrtffftrf?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 21 + 19*f**2 - 10 + 2*f - 2*f**2 - 10. Let c be x(-1). Solve -4*m = -3*j + c, 6*j = m + j + 21 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 330\/126 - (23\/7 - 3).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 6*p + 22. Determine u(-7).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 895801 is divided by 223916.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17529163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of -u**4\/24 - 275*u**2. Let y(a) = a**2 - 6*a + 6. Let i be y(4). Let k(c) = 3*c**2 + 4*c. Give i*n(g) - k(g).\nAnswer: -3*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 + 7*i + 6. Let s(q) = -q**2 + 8*q + 6. Let c(o) = -6*d(o) + 5*s(o). Let m be c(-2). Solve 0 = h - 4*t - 21, -2*h + m*t - 5*t - 13 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 132 + -56. Calculate the greatest common factor of l and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/4 + (-2)\/(-8). Let p = 0.363 + -0.063. What is the nearest to t in -12, p, 0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 11) in base 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 130105 divided by 6\nAnswer: 130105\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35293713.\nAnswer: 3, 7, 13, 129281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 140318.2351137 and 0.02.\nAnswer: 140318.2551137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 7 - 3 = 0. Suppose -y*u - 3 = -11. Let h = 2 + -3. Which is the closest to 0.1? (a) h (b) -0.2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144.961 rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 380*x**2 - 1246*x - 37243. Give q(-383).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2 (b) 1 (c) -0.3 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15314595, -30629186, -45943765, -61258326, -76572863, -91887370, -107201841, -122516270?\nAnswer: -137830651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 784.5358 years?\nAnswer: 9414.4296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 693112531?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yt when two letters picked without replacement from {t: 2, z: 1, y: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m + 5*m - m + (0 - 2 - 2)*(3*m + 7 - 7 + (5*m - m - 6*m)*(47 + 6 - 22)).\nAnswer: 240*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 2 - (-14 + 20)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 85 (b) -63 (c) 1\/3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c - 3*h = 4*c - 20, 5*c - 25 = h for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1034800.2 + -1034791.6325872. Let i = -0.0693228 + m. Let w = -8.5 + i. What is w rounded to four decimal places?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 289*u**3\/2 - 26809*u**2\/2 + 317460*u - 304200.\nAnswer: (u - 1)*(17*u - 780)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -119*i**2 - 9 + 2 - 210*i**2 + 5 to the form v*i + u + y*i**2 and give y.\nAnswer: -329","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 1310*h**2 - 3*h - 1309*h**2 - 5*h - 9 - 3*h. What is c(13)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {g: 4, y: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-10))\/(5\/25).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 118032 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 2 + 2)*(-4*p**3 + p**3 - p**3) - p - 1 - 2*p**3 + p to g*p + f + b*p**3 + h*p**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23089 or 23088?\nAnswer: 23088","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1889\/264 - -35\/66. What is the common denominator of h and -1\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38665 - 37975. What is the nearest to 1 in l, -4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -3*u + 7, -u - 159 = 2*c - 164 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5 - -37695.987\nAnswer: 37700.987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -5*s**3 - 2*s**2 - 2*s - 4. Let l(c) = -c**3 - c**2 - c. What is -2*l(x) + u(x)?\nAnswer: -3*x**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -75 - 8. Let s be x\/130 + (-9)\/(-15). Which is the second smallest value? (a) -5 (b) s (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7, 19, 25, 19, -5, -53, -131, -245?\n\"Answer: -p**3 + 3*p**2 + 10*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 48 = -4*z, -5*n + 3 + 41 = -z. Let h = n - -2. Calculate the smallest common multiple of 10 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/4 (b) -5 (c) -15 (d) 5\/23 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*d**3 + d**2 - 15*d**3 - d**3 - d**2.\nAnswer: 10*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -101111011101?\nAnswer: -101111011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7513 - 7508. Sort 4, 3, -11, i, 31 in decreasing order.\nAnswer: 31, i, 4, 3, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 5:45 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) - (sqrt(245)*1 + sqrt(245) - sqrt(245))*2)**2 + -4*2*(sqrt(20) - sqrt(5)).\nAnswer: -8*sqrt(5) + 245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4*a = -9. Let o(h) = 8*h + 1. Let d(u) = 9*u + 2. Let p(c) = a*d(c) - 4*o(c). Find the first derivative of p(b) wrt b.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = -5*h - 4*p, 4*h - 5*p - 30 = -7*p for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22530*j**2 - 45207*j**2 + 22585*j**2.\nAnswer: -92*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -1 + 1 + (-5 + 6)*11 is divided by (7 - 3)*2\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 t when two letters picked without replacement from ststsststs?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -38*o**2 - 2*o + 2. Let s(x) be the first derivative of 215*x**3 + 35*x**2\/2 - 35*x + 1585. Calculate 2*s(k) + 35*u(k).\nAnswer: -40*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m - 941. Let b(s) = 3*s. What is i(b(r))?\nAnswer: 3*r - 941","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, u: 3, d: 2, t: 1, k: 1, b: 2}. What is prob of picking 1 t and 1 k?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 g when two letters picked without replacement from eetgeeele.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27495606 to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -37, 4, 85, 212, 391, 628, 929, 1300?\n\"Answer: n**3 + 14*n**2 - 8*n - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(99) + sqrt(99)*-1)**2 + 0 - sqrt(88)\/(-2*sqrt(72))).\nAnswer: 2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of -t**3\/6 + t**2\/2 - 262*t. Calculate d(-10).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 899999*q**3 + 2*q**2 + q - 2. Suppose -2*m - 5 = -m. Let k = m + 7. Let s be t(k). Round s to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**4 - 26895*u**3 - 80667*u**2 - 80661*u - 26886.\nAnswer: -3*(u + 1)**3*(u + 8962)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of -n**2\/2 - 12*n - 2. Let v be u(-11). Let t(w) = 8*w**2 - 1. What is t(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of -7*r**4\/12 - 9*r. Let j(v) = 29*v**2 - 9*v**2 - 10*v**2 - 13*v**2. What is a(j(k))?\nAnswer: -63*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*s - 2 + 2)*(-155*s**3 - 360*s**3 + 161*s**3) - 3*s**4 + 7*s - 7*s + 49*s**4 to b*s**3 + h + c*s**2 + p*s + w*s**4 and give w.\nAnswer: -662","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6389343147 + 6389342971.99999932. Let r = -175 - o. Round r to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1597?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - (-9 - (-7)\/7). Solve 2*o = 4*d + 8, 3*d = -4*o - b - 11 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -4 (c) 0.2 (d) -126\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*n - 113*n - 8 = 0 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 789 + 123626.\nAnswer: 124415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*m + 46 = 2 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4581.\nAnswer: 3, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 4*o**2 - 2*o. Let k be n(3). Suppose 0 = k*x + 12 + 9. Let w(z) = -4*z - 9. Let b be w(x). Solve 0 = 5*f - 4*t + t - b, -1 = f + t for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.25 and 78?\nAnswer: 76.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 187 a factor of 1687919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/2)\/(9579\/(-95790)).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*p*t**4*y + 8*p*t**2*y - 102*t**5*y + t**2*y + t**2 - 2*y wrt t?\nAnswer: -48*p*t*y - 6120*t**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*o - 13*o**2 - 2 + o + 29 + 3*o**2 - 7*o.\nAnswer: -10*o**2 + 9*o + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18.406 * -0.2.\nAnswer: -3.6812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 4\/5, -0.06, -20\/7, 0.4, -50, 52?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, l: 1, o: 4, t: 3, d: 2, u: 1}. Give prob of picking 1 t, 1 r, and 1 l.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000361444 to 6 dps.\nAnswer: 0.000361","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (25*f - 15 - 19 + 35)*(-2*f + 0*f + f) to the form y*f + u*f**2 + b and give u.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 3*t = 2*t + 35, s - 13 = 4*t for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.1 - 1.1. Let d = t - 0. Suppose -4*w = -0*w - 12. What is the closest to 1 in d, w, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1996013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of z**3\/2 + 9*z. Let g be d(4). Calculate the common denominator of 61\/14 and (-54)\/176*1*g.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/213006 and 64\/75?\nAnswer: 5325150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 - 14*a + 10. Let h be m(11). Let l = h - -33. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 2*z - 22, -5*z = 2*m - 6*z + 53. Let w(v) = -v - 27. Let x be w(m). Which is smaller: 3\/7 or x?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (744\/3968)\/(15\/(-6) + 1)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 6*z**2 + z + 2. Let v be h(-6). Let c be (v\/(-30))\/((-6)\/9). What is the biggest value in c, -7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 972 is divided by 22?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -4, -1214*d + 1212*d + 11*k = 212 for d.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 4:35 AM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus 0.3674209?\nAnswer: 2.6325791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 29.692788 months?\nAnswer: 0.2474399","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26769?\nAnswer: 3, 8923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10 + 26\/(-117) + 61\/(-9). Which is the second smallest value? (a) t (b) -2\/7 (c) 7.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 17*r**2 + 59*r + 24. Give u(14).\nAnswer: 262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 694 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 43573492?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + ((-28)\/4 - -4). Sort -1, 3, f, -0.057 in descending order.\nAnswer: 3, -0.057, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 594981 + -355792. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-1 - 6 - -7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 6*q**2 - 5*q + 1. Calculate v(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/6336 and 119\/28416.\nAnswer: 937728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*z + 116 + 82. Let s = z + 23. Let l(t) = t**3 + 9*t**2 - 23*t + 6. What are the prime factors of l(s)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 21\/(-14)*(-2)\/3. Let f(x) = -2*x**2 + 1. Let j be f(q). Let o = -0.3 - -0.3. Which is the third smallest value? (a) -0.2 (b) o (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -647624 and -5.\nAnswer: 3238120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - p)*(1206*p**2 - 1204*p**2 - 2 - 519*p + 1).\nAnswer: -2*p**3 + 519*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, m: 4, r: 2, w: 7, i: 2}. What is prob of picking 1 r and 2 m?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - -113)*1\/12 + -10. Which is the closest to s? (a) -3 (b) 4 (c) -3.6 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.89, -5\/2, 0.3, 5?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-216)\/(-21) + (-4)\/14. Let j(b) = 1 + 6*b - 2*b - 1. Let t be j(q). What is the greatest common factor of 10 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kxxdxfkfkffdfff. Give prob of picking 2 d and 2 x.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/4*9*1\/30?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 - 112 = -2*w - 28. What is the remainder when w is divided by 46?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.154 take away 15900?\nAnswer: -15900.154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -136464802, -136464792, -136464766, -136464718, -136464642, -136464532, -136464382?\nAnswer: -136464186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 96 and 87231?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1290412048.\nAnswer: 2, 1201, 67153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.03 - 6.97. Let q = d + 6. Which is the second smallest value? (a) -4\/9 (b) -4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*l + 76. Let n = -7 - l. Calculate the remainder when 77\/n*(7 + -1) is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 3:22 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -160 + 155. Let p(h) = h + 5. Give p(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -290731*m**4 - 2*m**3 - 8*m**2 - 626458 wrt m.\nAnswer: -6977544*m - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -5*v + 15, v = -2*j - 8 + 2 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 469 and 201.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.06 + 0.14. Let r = p + -5. Let h = r + 2. What is h rounded to 0 decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 450 and 1491550?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/4814 and -7\/5046.\nAnswer: 418818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -116, -300, -576, -950?\nAnswer: -1428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1119?\nAnswer: 3, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**5 - 1444*d**4 + 92001*d**3 + 294724*d**2 - 385280*d = 0. Calculate d.\nAnswer: -1505, -4, 0, 1, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -42451*o**5 - 12*o**3 - 3*o + 112506 wrt o.\nAnswer: -849020*o**3 - 72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2401 and 287973?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -7*(10\/2 + -2). Suppose 4*q = i - 0*i - 50, -5*q - 85 = -2*i. Let a = i + p. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - 35*j**2 + j + 18. Calculate m(-35).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.2 (b) 1 (c) -892\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of -f**6\/40 - 7*f**5\/20 + 85*f**4\/8 + 91*f**3\/2 + 2*f**2 - 32*f + 14. What is z in i(z) = 0?\nAnswer: -13, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 323127 is divided by 323115.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyo when three letters picked without replacement from yyyoo.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -815*s + 406*s + 409*s - 452*s**2 - 16*s**2.\nAnswer: -468*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 719197636.\nAnswer: 2, 179799409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11273 is divided by 5634?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -98168472 divided by 5193?\nAnswer: -18904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 25369 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30490?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 3286024?\nAnswer: -1\/821506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) - (3 + sqrt(1584))**2*5)*-4.\nAnswer: 1392*sqrt(11) + 31860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 6*g**2 - 3*g - 26. Let m(c) = -4*c**2 + 5*c + 25. Let t(x) = 5*m(x) + 4*y(x). Let a be t(-2). Solve f = 2*u - a, 0 = f + 2*f + 4*u - 17 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -89a - -18?\nAnswer: -882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3\/3 - 296*x**2 + 4490*x\/3.\nAnswer: -2*x*(x - 5)*(x + 449)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = a - 2, -v - 51*a + 50*a + 2 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 71902992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 2. Let l(y) = -2*y**2 + 5*y - 2. Let b be l(s). Put 2, b, -3 in descending order.\nAnswer: 2, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 594?\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2 times 47?\nAnswer: -103.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -5432*b + 37 + 51 - 121 + 33 in the form t*b + l and give t.\nAnswer: -5432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in centuries?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (174 + -1)\/(-3 - (-496)\/164). Suppose 3*y + 0*y - 4*z = f, -11799 = -5*y + z. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirteen eighths of a microgram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -44730, 432, 0?\nAnswer: -44730","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -8*u + 36. Let i be a(6). Find the common denominator of (-94)\/(-498) - (-3 + (-40)\/i) and -52\/9.\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.87 + -7.13. What is the second biggest value in 0.5, p, -6, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**2 - 3*s**2 + 4*s**2 + (-4*s + 5*s - 34*s)*(3*s - 3*s + s).\nAnswer: -34*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -34? (a) -0.4 (b) -432 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 468?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 3.8. Let g = -43.3 - -48. Let o = -5 + g. What is the third biggest value in a, 2\/7, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 296663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.4428 rounded to one decimal place?\nAnswer: -12.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -33*f + 4. Let w(n) = -2608*n**2 + 1309*n**2 + 1289*n**2. Determine i(w(v)).\nAnswer: 330*v**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 + 60 = -2*w. Let t(f) = -5*f**2 - 4. Let c(b) = 1 + b + 4*b - 5*b + b**2. Determine w*c(h) - 3*t(h).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31.032 + -0.032. Let k = r + -27. Which is the closest to 2\/7? (a) 1\/4 (b) k (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bajjjjjjtapjtbajjjt. Give prob of picking 1 t and 1 j.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((6\/(-20))\/(-2*17\/(-204))).\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in -61, 287\/13, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34 - 37. Let z = -6 + 6. Which is the closest to 0.3? (a) -5 (b) z (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -3*v + 1784. Suppose -3*d + v = -182. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -4441.\nAnswer: 1\/4441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2035122523\/215 + 9465665. Let i = o - -106\/5. Is i greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 310929 or 311926?\nAnswer: 310929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 163\/60 and 47\/2310.\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4095, -0.4, -0.1, -15, -3 in ascending order.\nAnswer: -4095, -15, -3, -2, -0.4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f**4 + 4*f**4 + 15535*f**2 + f - 15639*f**2 - 6*f**3 as d*f**3 + u*f**4 + h*f + i*f**2 + p and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 67451 and 2294?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -854, 1245, 6946, 18049, 36354?\n\"Answer: 300*l**3 + l**2 - 4*l - 1151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 183, 2\/13, 4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8008307.\nAnswer: 367, 21821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -3*h**3 + 58*h**2 + 21*h - 41. What are the prime factors of w(-22)?\nAnswer: 59513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, s: 8}. Give prob of sequence ds.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 5.6. Let b = -0.25 + 2.25. What is the second biggest value in b, m, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rn when two letters picked without replacement from nrbbrbnnb?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0194901303 rounded to four dps?\nAnswer: 0.0195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 69 = 459. What are the prime factors of n?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of -p**2 - 4*p + 2\/3*p**3 + 19. Determine c, given that i(c) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 5 - 3*g**2 + 7 - 12. Let y(d) = -11*d**2 + 5*d**2 - 7*d**2. Determine h(y(t)).\nAnswer: -507*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.063 - -0.037. What is the closest to j in 56, 0.04, 4?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y**5 + 13012*y**4 - 4105696*y**3 + 6135788*y**2 - 2043096*y = 0.\nAnswer: 0, 1\/2, 1, 426, 1199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x - 11*x = -44 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 7:07 AM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27753852?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18683928?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (8 + -13 + (5 - 39\/9))*-1584 a multiple of 208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7248 - -14699. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 76 - 56. Suppose x - 5*f = 4, -5*x + r = -5*f - 20. Suppose 2*q = -2*q + 16. Solve q*i - 7 = x for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -5*x**2. Let g(c) be the third derivative of 0 - 1\/8*c**4 + 0*c - 4*c**2 + 0*c**3. What is g(d(r))?\nAnswer: 15*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 4, -5*v - 2 = -2*f - 1. Let m be (-78)\/(-10) + 3\/15. Let k = m - f. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 a when two letters picked without replacement from {q: 2, a: 4, w: 4, p: 5}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 6*m - 2*l - 19 = 0, -4*l = 3*m - 43. Let w be (-8)\/(-84)*(-1)\/(-2)*m. What is the second biggest value in 1, -1, w, 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 46886935 and 22064440?\nAnswer: 375095480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 1145*s + 10. Let a be n(1). Suppose 0 = -4*v + 5*d + a, 5*d - 358 - 197 = -2*v. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11681*-0.0209\nAnswer: 244.1329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millennium in years?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.87 + 2.7. Let c = -1831309 - -1831308.8300054. Let w = l - c. Round w to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.5 * 3548.1\nAnswer: 5322.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, b: 2, a: 2}. Give prob of picking 2 r and 1 a.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4546 + -4536. Which is the third biggest value? (a) -0.025 (b) 3\/2 (c) 0.2 (d) u (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -0.2 (c) 1\/5 (d) -0.1 (e) 2.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 3 = -9. Suppose -k*y - 5 = y. Let g be 0 + y\/(-2)*2. Solve -3*f - 2 = -w + g, 2*w + f + 1 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 18330782 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*z**2 - 11*z**2 - 171*z**3 + 172*z**3.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 435 + -347. Calculate the greatest common factor of 8 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -7*y + 30. Suppose -2*b = -y*b. Solve 5*w - 3 - 22 = b for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -0.13954?\nAnswer: 0.41862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 21\/5 of a microgram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5121, 10245, 15369, 20493?\n\"Answer: 5124*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*p - 27*p**2 - 5*p + 3*p + 56*p**2 to the form t*p + g*p**2 + o and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 13*a**2 - 2*a - 2. Let x be k(-1). Let o = x - 10. Solve -3*i + 3 = o*s, 4 = 5*s + 4*i - 5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -568776352\/585 + 972267. Let i = -61038\/65 - -939. Let x = y - i. Is x >= -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 - 9. Suppose 30 = r*z - z. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - v - 3 + (0*v + 0*v + 2*v)*(2 - 1 + 1) - 2 + 2 - v + 11*v - 12 + 12)*(0 + 3 - 1).\nAnswer: 26*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/4*14\/14.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 101*i - 101*i + 7*i**2. Let p be (-14)\/2 - (0 + -1). Let s(c) = 6*c**2. Let t(w) = p*s(w) + 5*v(w). Factor t(b).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2aa8a - -74?\nAnswer: 2ab0e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -7*m**3 - 3*m**2 - m + 4. Determine f(-2).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31*k**2*p**2*u**2 - 1807*k**2*p**2*y - 2*k*p**2*u**2*y + 5*k*p**2*y + 32*k*p*u**2 - 20*k*u*y - p**2*u*y wrt k?\nAnswer: -62*p**2*u**2 - 3614*p**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -3*p**3 - p**2 + 4*p - 4. Let c be 0*(-3)\/(2 + -8). Let l(v) = -3*v + c*v**3 + 2*v + v**3 + 1. Let w(s) = 4*l(s) + t(s). Find g such that w(g) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-176)\/132 + (-4)\/8*-3.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-4) + 54\/12. Let d(t) = -t**2 + 2*t - 6. Let v be d(n). Let c be (6\/4)\/((-1)\/v). Solve -2*j + c = 5*u, 0*j - 5*u + 23 = j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6914 divided by -3457?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 187 + -100. What are the prime factors of h?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -82105*n. Let a(y) = -y + 144. What is a(l(g))?\nAnswer: 82105*g + 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35483887 + -51117733. Let a = z + 7933846. Round a to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(1\/21)*m*m*m*m**(2\/21)*m**(-3\/10)\/(m\/m**(6\/5)))**(6\/25) assuming m is positive.\nAnswer: m**(849\/875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12662*i**3 - 43*i - 7 wrt i?\nAnswer: 75972*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 58599891 or 58599890?\nAnswer: 58599891","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 160166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 + 7*h**2 - 10*h + 4. Let l be (-22)\/3 - (-6)\/(-9). Let n(s) = -s**3 + 2*s**2 + 2*s - 1. What is the remainder when k(l) is divided by n(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1156 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/9)\/j*j*j*j**(-2\/15))**31 assuming j is positive.\nAnswer: j**(1364\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6876 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132 - 404 - 69*g**2 + 141 + 266*g**2 + 131.\nAnswer: 197*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 + 34*u + 15*u - 106*u + 37*u + 22*u - 5.\nAnswer: 2*u + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = 11 - 18. Let w(v) = -77*v**3 + 3*v**2 + 2*v. Let k be w(u). Let s be (5 + k\/(-18))*(-783)\/(-2). Calculate the greatest common divisor of 9 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 45*n**2 - 68*n. Let s(b) = -186*b. Give s(c(x)).\nAnswer: -8370*x**2 + 12648*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + (-136707)\/210 - 10\/(-35). Let u = p - -3203\/5. Find the common denominator of u and -53\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1686\/9853 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1667, 3333, 4999?\nAnswer: 6665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/((-30)\/4))\/(-5 - -4)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 275*g**2 - 2923*g + 5204. What is a(264)?\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, -1.2704, 2, 187.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1638537*f**5 - 2706637*f wrt f?\nAnswer: -32770740*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3422557, -6845114, -10267671, -13690228, -17112785?\nAnswer: -20535342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.16 - 3.64. Let i = j - -4.3. Which is the second biggest value? (a) 0.06 (b) -1\/6 (c) i (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = 23*m + 5*m - 3, h = -m + 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2869 divide 1346519246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*i - 20 = -32*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3188.8 + -3192. Is -3.2 smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -0*m - 10. Let t(r) be the third derivative of r**6\/120 - r**5\/15 - r**4\/6 + r**3\/6 - 30*r**2 + 9*r. Give t(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-70)\/4)\/(490\/1176)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 5*p + 3, -2*j + 3*j - 2*p = -3. Suppose -4*w = 5*g + 21, j*w + 0*w + 17 = -4*g. Let v be -1*((-1 - 0) + 2). Put v, g, 2 in ascending order.\nAnswer: g, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*w + 170 - 170.\nAnswer: -40*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 48 = 3*d, 0*d - d - 46 = 5*g. Let j be (-6)\/d + (-132)\/(-28). Let t(k) = 2 + 5 - 6 + j + k. Calculate t(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -134\/7 + 851\/28. Find the common denominator of -3 + (-46)\/(-14) + (-22)\/(-33880)*2325 and i.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a kilometer in meters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 37088.72ug?\nAnswer: 37088720","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - 13*k + 14. Let d(g) = -g**2 + 14*g + 20. What is the remainder when r(13) is divided by d(15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 3*v - 76. Suppose -261 - 1272 = -v*d. Is 73 less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -16*((-1)\/4 + 1). Let s be (18\/r)\/(3\/30). Let x = s + 17. Solve 15 = x*g + 3*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 6*l - 6. Let d be 1\/((1 - l) + 1). Let a be (d - 12000) + (-4 - -5). Round a to the nearest 1000.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 30\/(-8)*16\/(-6). Let m = n + -6. Calculate the smallest common multiple of m and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74659.65kg to milligrams.\nAnswer: 74659650000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -45 + 50. Suppose 14 = -x - 5*l, -4*l = 7*x - 3*x + 56. Put x, 3, a in increasing order.\nAnswer: x, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 12) to base 2\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -1095*g - 48161. Give l(-44).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 16 + 70 = 0. Let o = -87941 + 88003. What is the remainder when o is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7581, 30319, 68217, 121275?\nAnswer: 189493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t**2 - t**2 + t**2)*(-106 - 597 - 114) to g + d*t + z*t**2 and give z.\nAnswer: -817","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 27*d**2 + 34*d - 44387 wrt d?\nAnswer: 54*d + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -46249 - -46261. Calculate the lowest common multiple of z and 6\/9 - 698\/(-6).\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (k**2 - 4*k**2 + 4*k**2)*(11*k + 7*k - 28*k)*(-32*k + 22*k - 9*k)*(-1 + 0 + 3) as w*k**4 + l*k**3 + o*k + z*k**2 + t and give w.\nAnswer: 380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -55650383 and -0.0586943.\nAnswer: -55650383.0586943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.75 to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and (72\/42)\/((-2)\/(-7)).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 9 = g, 5*c + g - 225 = -250. Sort 5, -1331, 2, c in increasing order.\nAnswer: -1331, c, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3679 and 62439.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20248380461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuzuzuzzu. Give prob of sequence zzzu.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 PM and 10:31 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 221276047 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (8 - 5) - 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d + 3*d - 3*d)*(11111 + 9940 + 1119 + 9623) to k*d + u and give k.\nAnswer: -31793","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88448 is divided by 305.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 55 - 37. Let k = 18.116 - y. What is k rounded to two dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15744932.\nAnswer: 2, 7, 73, 7703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 1, -2, 4, -14, 3 in increasing order.\nAnswer: -14, -2, 1, 3, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 20 - 13 = 0. Let q be (5 - 0)*(r + (-66)\/(-5)). Calculate the greatest common divisor of 9 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -8*s**2 - 2*s - 2. Let c be h(-1). Suppose 0 = -0*t + 4*t - 32. Calculate the remainder when ((-102)\/t)\/(3\/c) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0*(-5)\/5)\/(-1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.7689 rounded to 0 dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a + 12 = 4*r, -4*r - 3*a - 9 = -7*r. Solve 3*w = 5*s - 30, 4*s + 4*w = -r - 5 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + 7*f**2 + 5. Let j be o(-7). Solve 0 - 10 = -j*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2931\/(-810) + 13\/((-91)\/(-28)) and 19\/2.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of y**7\/2520 + y**6\/180 - y**5\/24 + 119*y**4\/12 - 231*y**2. Let p(x) be the second derivative of g(x). Factor p(n).\nAnswer: (n - 1)*(n + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.9334 + -2.6334. Which is the nearest to 1\/4? (a) -0.24 (b) z (c) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1582 + 1719. Calculate the remainder when s is divided by 22.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -65808.4969 to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that u**4 - 27*u**3 + 51*u**2 - 25*u = 0.\nAnswer: 0, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.90884 times 99?\nAnswer: -386.97516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/9 - (-7)\/3. Suppose 5*g = 5*j, -2 = -4*g + 5*j - c*j. Solve 3*u - 4*z + 0*z = 3, -g*u = -5*z + 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of 39*q**5\/20 - q**4\/24 + 232*q**3\/3 - q**2 + 48*q. Find the second derivative of n(r) wrt r.\nAnswer: 234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*x**2 - 2*x**2 + 2 + 43*x**2.\nAnswer: 81*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 635 is divided by ((1070\/50)\/(18 + -19))\/((-2)\/10)?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 24 = o. Suppose 0 = 5*c - o + 4. Calculate the remainder when (-1)\/1 - (-5 + -3) is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 474618291 and 707.\nAnswer: 707","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i = -2*i + 390. Suppose -8*b + i - 6 = 0. Solve -b*o - 13 = 2*u, 3*u - 5*o - 26 = 2*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4347093855 to the power of 1\/4, to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - x - 53 = -5*o, -5*o + 245 = -5*x. Calculate the remainder when 140 is divided by (-52)\/(-6)*x\/(-32).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3778000 rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 AM and 5:25 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f**2 + 3*f + 258. Calculate the remainder when v(0) is divided by 52.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/(-10))\/(1\/5). What is the third biggest value in t, -4, -3, -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*g = 18*g - 10, 0 = 3*u - g - 337. Suppose 16 = -0*j + 3*j - 5*d, -18 = -5*j + 4*d. Suppose 238 = j*k - u. List the prime factors of k.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence klrq when four letters picked without replacement from qlkqklrkqqrlkrkrkk.\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 divided by -13?\nAnswer: 37\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + s + 5. Let k be q(0). Suppose -k*a = u + 3, 6*a - 9 = -5*u + 5*a. Solve -4*d = 12 + 8, -9 = -i + u*d for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54607.\nAnswer: 7, 29, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 27 = 4*p. Suppose -5*g + 3*f - 2 = 0, p*g + 5*f = 6*g + 18. Let m(r) = -42*r + 42*r - 4*r**g. Let d(c) = -c**2. Determine d(m(i)).\nAnswer: -16*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -49 + 61. Suppose -11 = -c + 3*x, -65 = -2*c - 2*c + 5*x. Let g be (-1)\/5 + 484\/c. Calculate the greatest common divisor of g and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (1 - (1 - (2 + -7))).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4095 - 3298 - 1811 = -236*w. Calculate the least common multiple of 39 and w.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 3*o + 110 - 135, 0 = -5*o - 25. Let z be (-24)\/(-15) + -2 + 190\/100. Which is the closest to y? (a) 1\/5 (b) -0.4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -10, -33, -72, -127, -198, -285?\n\"Answer: -8*w**2 + w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4672*i + 648 = 4681*i. Let q be 4 - 3 - (0 + -59). Suppose -4*x + q = 3*o, -4*x + 92 = -9*o + 4*o. What is the highest common factor of x and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5, -23, -51, -89?\n\"Answer: -5*q**2 - 3*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1196066656 rounded to five decimal places?\nAnswer: 0.11961","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*i**3 - 36*i**4 + 35*i**4 - 18*i**2 - 5*i**3 + (3 - 2*i**4 - 3)*(0 + 0 - 2).\nAnswer: 3*i**4 - 9*i**3 - 18*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -12515 and 3125516?\nAnswer: 3138031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of 2*m**3\/3 + 10*m + 200. Let s(u) = 16*u - 53. Calculate s(y(o)).\nAnswer: 64*o - 53","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -73 (base 14) to base 8\nAnswer: -145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30933638.\nAnswer: 2, 821, 18839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -25821, -25819, -25817?\n\"Answer: 2*m - 25823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17257 - -26797. Is 9 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 46, 4\/3, -0.1, 34?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -4.8. Let c(f) = 4*f - 6. Let w be c(3). Suppose 0 = -2*a - 0*a + w. What is the nearest to 0 in -4\/7, b, a?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191734948133 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 2*s + 3*a + 6, -a = 4. Suppose 0 = 4*n - v - 10, 0 = 2*n - 4*n - 3*v + 12. Calculate the highest common divisor of n and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -38*l**2 + 4*l - 4. Let u(w) = 9*w. What is u(z(p))?\nAnswer: -342*p**2 + 36*p - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v - 34. Let f be y(-19). Suppose 0 = z - f*r - 21 - 76, 3*z = 4*r + 251. Does 11 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1112\/1665 + 2\/1665. Which is the second smallest value? (a) 36 (b) 16 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 585*l - 586*l + 19*l**3 + 12*l**3 to the form d*l**3 + j*l**2 + z*l + w and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2*t + 50 - 14 = 0, -3*t - 15 = 0. Suppose 26 = -u - 5*y, -y + q = 2*u - 6*y. What is the remainder when 29 is divided by -3*1 - 18\/u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8346867 is divided by 4186.\nAnswer: 4169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -8.97. Let c = -0.24 + 2.04. Let i = c - 4.8. What is the biggest value in f, i, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1204\/5 - 7961\/20. Let l = 160 + v. Factor -l*s**3 - 15\/4*s + 6*s**2 + 1\/2.\nAnswer: -(s - 1)**2*(11*s - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 79\/29695?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 46 + -66. Let h = -15 - m. Let -3 + 3*t**3 + 10*t - t**2 - 4*t**3 - h*t = 0. What is t?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 43 + -39. Suppose 6*a = a - 15, n*v - a = 15. What is the closest to 1 in v, -2\/5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 5*y - 12 = 0, -5 = -3*y - 17. Suppose o = -3*m + 5. Let s be 2448\/765*5\/2. Put m, s, 2 in increasing order.\nAnswer: m, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 97? (a) 245 (b) 1.4 (c) -1 (d) 1\/3 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, k: 2, x: 1, d: 1}. Give prob of picking 1 x and 1 g.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1496.26 rounded to the nearest 100?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 40*q + 532440. Round q to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2\/5 + 198*z\/5 + 621\/5.\nAnswer: -3*(z - 69)*(z + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s**2 - 15*s - 2. Let h be b(9). Let p be ((-10)\/h)\/(1\/5). Let y be ((-5)\/(-15))\/(p\/(-24)). Solve -3*z - 4*d + d = 21, d = y*z + 13 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 637759 to the power of 1\/3, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9\/16 of a century?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -19966 (base 10) in base 6?\nAnswer: -232234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3*i + 5. Let b be x(4). Let j = b - 45. Let u = j - -76. Does 24 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1661?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3 + 6135\/(-450) + (-9)\/(-30) and -103\/1494.\nAnswer: 1494","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36853 is divided by 17955.\nAnswer: 943","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13 and 65.42.\nAnswer: 850.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 5*z**2 - 16*z - 9. Let t be j(-7). Suppose 0 = 3*r + 2*r + t*u - 50, -10 = -2*u. Let l(b) = 29*b - 50. Is 39 a factor of l(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 - 11. Suppose -k*l = -30 - 55. Is 11 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -308859*x**4 - 143210 wrt x?\nAnswer: -1235436*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/(((f*f**(9\/2))\/f)\/f)*f*f)\/f**(-1\/5)*(f**(13\/3))**0)**(-37) assuming f is positive.\nAnswer: f**(-259\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 630168 and 34286.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 4*m - 1857016, -3*m - 2*k = -142197 - 1250562. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-120)\/75)\/((8\/(-30))\/(-2)). Let m be ((-15)\/35)\/((-4)\/(-21))*s. Calculate the greatest common factor of m and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7596.544ml in litres?\nAnswer: 7.596544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 4*q + 2*q)*(21*q**3 + 25*q**3 - 36*q**3).\nAnswer: 60*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of -l**6\/120 + 163*l**5\/20 - 20169*l**4\/8 + 59049*l**3\/2 + 343*l**2 + l - 3. Factor s(x).\nAnswer: -(x - 243)**2*(x - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1*(-2)\/(-1 - 243\/(-249)) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/(6 - 1) - 3. Is u\/5 + 4918\/10 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.55284 - 0.3.\nAnswer: 0.25284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -70085 by 14017.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of 5*i**4\/12 + 2*i + 50. Let x(c) = 2*c - 13. Determine x(w(n)).\nAnswer: 10*n**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + 14*m + 20. Let g = -11 - 4. Let b be z(g). Let w = 38 - b. Solve -q + 2*h + 6 - 4 = 0, 3*q = w*h for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/10 of a hour?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2452268 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + (-3 - 5) + -6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/(-12))\/((-3)\/3). Let c be ((-56)\/(-35))\/(2\/(-25))*-1. Suppose -c = -n + 6*n, 2*z = 4*n + 16. Does z = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.002 - 0.102. Which is smaller: 2\/137 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*n + 4*n. Is -3 less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 12:52 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 4*y**2 - 6*y - 1. Suppose -55 = 18*a - 29*a. Let u(j) = -3*j**2 + 5*j + 1. What is a*w(n) + 6*u(n)?\nAnswer: 2*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 552 = -4*i, 2*o + 5*i = 216 - 19. Solve 16 - o = -25*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/12 and (2\/(-54))\/(3\/(-21))?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of 1\/3*j**3 + 8*j**2 + 0 + 0*j + 1\/9*j**4 + 1\/90*j**5. Factor c(s).\nAnswer: 2*(s + 1)*(s + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of -k**4\/24 + 5*k**3\/3 + 16*k**2 - 6. Let m(c) = -5*c + 49. What is 11*b(g) - 2*m(g)?\nAnswer: -g + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -554 divided by 277?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 6109139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -829034 from 0.4.\nAnswer: 829034.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = 11 - 53. Solve -4*b + 15 = -m*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -6\/43, 0.4, 1, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 + 10*h**2 + 6*h - 2. Let w be b(-9). Let t = w + -24. Solve p = t + 4 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-6940152)\/(-5166) - 6\/14 and 5.\nAnswer: 6715","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -69*j**2 + 0*j**3 + 45*j**2 - j**3 as w*j**3 + v + h*j**2 + p*j and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 2 + 2 = 0. Suppose 2*k = -f*k + 8. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of 0*k**6 + 1\/336*k**8 + 0*k + 1\/12*k**5 + 0 - k**2 + 0*k**3 + 0*k**4 + 0*k**7. What is the third derivative of n(l) wrt l?\nAnswer: 60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38332492 divided by 157.\nAnswer: -244156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 d when two letters picked without replacement from {d: 3, m: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -100 or -3?\nAnswer: -100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39 - 845*i + 39 - 313*i - 1607*i.\nAnswer: -2765*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1333, -2665, -4007, -5353, -6697, -8033, -9355, -10657?\nAnswer: -11933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2 + -4 + sqrt(2420)*-4 + 2.\nAnswer: -88*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in eight thirds of a day?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(2*(-25)\/20)*27835\/(-586).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2))**(12\/11)\/((b**(1\/4)\/b)\/b*b)**(-2\/5))**0 assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -46563242 - -0.5\nAnswer: -46563241.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -2*t + 67, -4*t - 54 = -3*z - 191. Solve -13*b = 3*b + t for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that o**4\/8 - 27563*o**3\/8 + 8471995*o**2\/4 - 16861309*o\/2 + 8416875 = 0.\nAnswer: 2, 625, 26934","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1385, 1396, 1407, 1418?\nAnswer: 1429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 - 7 = 4*c, -m + 35 = 4*c. Sort m, 336, 5.\nAnswer: 5, m, 336","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 PM and 9:47 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, -0.032, -2, -1\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 334 is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-129)\/(4773\/(-2294)))\/(2\/4*4)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -2\/3, -2282, -1\/6, -3, 1.\nAnswer: -2282, -6, -3, -2\/3, -1\/6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 94.55 + -125. Let r = 956 + -988. Let m = r - b. Round m to 1 decimal place.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 8:59 PM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/2 + 763*p\/2 - 429732.\nAnswer: (p - 621)*(p + 1384)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of -g**3 + 3*g**2\/2 + 371*g + 1. Let f(v) = -7*v + 4. Calculate 5*f(j) - 6*h(j).\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v*v**2*v*(v*v**(2\/7))\/v*(v\/v**(-7))\/(v*(v**(-4\/5)\/v)\/v) assuming v is positive.\nAnswer: v**(528\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168 + 2293 = -17*v. Let k = 1362 + v. What is the thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101001101111110111 (base 2) to base 3\nAnswer: 22200120022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7303 + 3656 + 3647 + 1635*h)*(-2*h + 4*h - 5*h) + 3 - 3 - h**2.\nAnswer: -4906*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 225 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 569?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 1788640 - 2*w**2 + 2*w - 1788640 - 2*w. Let y(q) = -7*q**2 + 9*q - 3. Determine y(g(n)).\nAnswer: -28*n**4 - 18*n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccccccccccccdccccdcd. What is prob of picking 1 d and 3 c?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + z = 40, 124 = 5*u - u - 5*z. Suppose 4*a - u = a. Calculate the remainder when 40 is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of 1\/8*u**4 + 1\/4*u**2 + 0*u + 1\/3*u**3 + 7. Find h, given that g(h) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 6 - 4 - (0 - 4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 1 - 6 + 14*s + 4*s - 7*s. List the prime factors of w(12).\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 157*k - 31233. What is a(199)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, q: 5, n: 6, u: 1, r: 2}. What is prob of sequence rq?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2453, 1891, 439, -2347, -6911, -13697, -23149, -35711?\nAnswer: -51827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, -63, -14?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9\/1306 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-72)*-4*1*(-165)\/(-5)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -687*v**2 - 19*v + 45?\nAnswer: -1374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 520 divide 4335951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 4, -1, 0.25, 30?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 10.1. Let k be (-2)\/(1 + (-2)\/6). Which is the closest to -0.3? (a) k (b) h (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12431772 divided by 18\nAnswer: 690654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 390925 and 855?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1314, -2624, -3934, -5244, -6554?\nAnswer: -7864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 1\/278 (b) -0.1 (c) 1.1 (d) 0.3 (e) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**4 - 192*c**3 - 378*c**2 - 188*c = 0. Calculate c.\nAnswer: -94, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-1) + 274 + (-2 - 0). Suppose -138 = -s - c, 2*c = 4*s - 279 - z. Is 23 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 552\/((-168)\/(-7)) - 2*(-1)\/(-2). Suppose 2*j - 16 = -4*w, 0 = -3*w - w + j + 4. Calculate the highest common divisor of a and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4609, -4164, -3413, -2350, -969, 736, 2771?\n\"Answer: m**3 + 147*m**2 - 3*m - 4754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/190296 and -17\/634320.\nAnswer: 1902960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2065487, -2065483, -2065479, -2065475?\nAnswer: -2065471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/128 and -79\/80.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4, 2, -10, -38, -88?\n\"Answer: -h**3 + h**2 + 2*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((-75)\/2)*(26019\/(-118))\/(-21)?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*u**3 + 5*u**3 - 2294*u**2 - 13 + 2*u + 2292*u**2 to the form k + w*u**2 + v*u**3 + c*u and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-10 + (-6 - -18)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 280076\nAnswer: -84022.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 995, 1000, 1005, 1010, 1015?\n\"Answer: 5*s + 990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - (-150)\/42) + -2. Which is the third smallest value? (a) 2\/57 (b) x (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -5*b - 4, 2*b = 4*o - 10. Suppose -5*w + u + o*u + 75 = 0, 0 = -4*w + 5*u + 60. Suppose 3*c + 0*c = w. Does 5 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f + 8. Let k(z) = -z - 1. Determine -24*k(p) - 3*q(p).\nAnswer: 18*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 47\/4 of a year?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22 and 13156.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -1147, 2\/147?\nAnswer: 2\/147","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/40 and 4\/22 + (2443\/(-616) - -5)?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/67 - 43\/804. Let f = 1\/2 - 1\/4. Let u = j - f. Which is bigger: 2 or u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b + 1. Let s be (-9)\/15 - (-92)\/20. Let g(k) = s*k - k + 0*k**2 - k**2. Calculate g(y) + u(y).\nAnswer: -y**2 + 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*t - 214*t - 3752 = 414*t for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5484 and 2868?\nAnswer: 1310676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 87293, 174548, 261803, 349058?\n\"Answer: 87255*n + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12154.\nAnswer: 2, 59, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4076?\nAnswer: 2, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 11:45 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 326 - 233*a**4 - 603*a**4 + 1166 + 369 - 388*a**4 wrt a.\nAnswer: -4896*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10212120210 - 0?\nAnswer: -10212120210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 13*c - 4*c - 134811 = 0, -3*c = v - 67419. What is the ten thousands digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22528 or 23081?\nAnswer: 22528","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/12 + (-58)\/168. Let i = -2.7 + -10.3. Let v = i + 9. Which is the second smallest value? (a) v (b) -0.1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1216) + -3*sqrt(1216))*3)**2 + -2.\nAnswer: 43774","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6384429 micrograms to tonnes.\nAnswer: 0.0000000000006384429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4371864 and 3278898.\nAnswer: 13115592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 83 + -25. Let p(d) = -d**3 - 10*d**2 - 11*d - 10. Let b be p(-9). Suppose b = 2*i + n. Is -25 less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 times 0.2?\nAnswer: 38.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h - 229199 = -228879 for h.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.081 + -65.281. What is l rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 68694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6\/25 of a meter?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-8)*(33\/22)\/((-96)\/3328)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-1*sqrt(133))\/sqrt(7) - sqrt(19))**2*-4 + (((-2*sqrt(171) - sqrt(171)) + sqrt(171))**2 - (5 + sqrt(19) + 3)).\nAnswer: -844 - sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 44 = -489. Let w = m + 8887\/20. Calculate the common denominator of w and (-47)\/14 + (-2)\/(-7).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-5 + 5 + -1) - 5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 2118731100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -179*u + 179*u - 764*u**2 - 772*u**2 - 49*u**3 + 1536*u**2.\nAnswer: -49*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 3*w**2 - 43*w + 107. Let v be g(3). Let o(l) be the third derivative of 0 - 1\/18*l**4 - 1\/90*l**v + 0*l**3 + 0*l - 3*l**2. Solve o(y) = 0 for y.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 5*o + 3 + 14 - 4*o + 0. Let r be b(7). Suppose q - 2*q + 6 = 0. Calculate the highest common factor of q and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68552 is divided by 592?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37 - (55 + (-38 - 3))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -4. Suppose -w + 4 = 0, -2*w - 2*w = -5*j - v. Let i be ((-3)\/(-2))\/(j\/6). Solve i*m = 8 - 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2683.40853515 + 2670.83851. Let k = p - -12.57. What is k rounded to six dps?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1530 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((28\/(-24))\/(-7))\/(10\/(-15)). Which is the third biggest value? (a) 4 (b) r (c) -22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 7629*p - 76291. Calculate j(10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -5*n**2 + 19*n + 7. Determine q(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*o - 31*o - 84 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 35097*y - 140387. Give t(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = -2*l - 26, -2*l + 34 = -2*v - v for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 - 3 + 0 - 11*t + 3*t - 3. Let z be w(8). Let j(d) = -2*d**2 + 2*d - 2. Let f(n) = n. Let v(u) = z*f(u) + j(u). Factor v(l).\nAnswer: -2*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22009 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20100131 + -11?\nAnswer: -20100202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 124838, 124844, 124850, 124856, 124862, 124868?\n\"Answer: 6*t + 124832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 57338548280 plus -0.1?\nAnswer: 57338548279.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1900 - 1676. Calculate the highest common divisor of f and 352.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1071 and 56.\nAnswer: 8568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 1385.\nAnswer: 4\/1385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3736539 is divided by 934089.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1152?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 272 + -122. Let w = f + -103. Let x be 9\/27 + w\/3. Calculate the highest common factor of x and 144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2117 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7 (b) 0.097 (c) -1 (d) 1\/12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/8)\/(1\/(-36)). Let m be ((-72)\/(-15))\/(96\/120). What is the tens digit of (-4)\/m*-3 - -4*b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -4*v**3 + 168*v**2 + 4*v + 8. Let x(d) = 12*d**3 - 506*d**2 - 11*d - 22. Let q(a) = 11*h(a) + 4*x(a). Factor q(u).\nAnswer: 4*u**2*(u - 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - k = 661, k = -4*i + 6*k + 2643. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -80 + 82. Calculate the remainder when (49\/3 - 3)*(5 - s) is divided by 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 160840 or 160839?\nAnswer: 160840","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 53 + -39 + 15 + -59\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -6112*v + 30442. Determine c(5).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*h + 128 = -h - h for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -7. Let g(n) = -n**2 + 2*n - 1. Let m be g(w). Suppose -o - 3*o + 4 = 0. Sort -4, m, o in descending order.\nAnswer: o, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*u**2\/7 - 29401972*u\/7 - 7350492\/7.\nAnswer: -4*(u + 1837623)*(4*u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (166\/249)\/((-4)\/(-6))*-1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/7 and 111\/2*1\/12?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20220 + -2?\nAnswer: -20222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.7 - -0.2. Let u = -0.4 - 0.1. Let y(o) = o**3 - 4*o + 3. Let v be y(2). Which is the nearest to q? (a) u (b) 2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -4*m - 5*s + 6*s, 3*m + 16 = -5*s for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {y: 2, s: 10}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**17))\/(c**11*c*c)*c*c*c*(c*c*c*c*c\/c**(-22)*c)\/c*c**(-10) assuming c is positive.\nAnswer: c**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -27164002.48 rounded to the nearest one million?\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5529629242.\nAnswer: 2, 19, 47, 71, 43607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -842515 divided by 13\nAnswer: -842515\/13","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/(-28) + (-8961)\/(-21) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 - 8 = -62*w + 69*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -65.998 rounded to 1 decimal place?\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1498065 is divided by 51648.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 464, 1844, 4138, 7340, 11444, 16444?\n\"Answer: -u**3 + 463*u**2 - 2*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - (-6 + 12 + 8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 7 = -5*z - 6, 2*z = -s. Let l be 1\/(z\/(-382)*-2). Let m = l + 450. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1734 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 521*c**2 + 6*c - 16. Let d(u) = -u**2. Let g(k) = 6*d(k) + x(k). Is g(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.18 and 168.\nAnswer: 167.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5735393 and 335162?\nAnswer: 5400231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-41)\/(-8)*-2 - 331\/(-1324)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22349 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 31456, 31448, 31436, 31420?\n\"Answer: -2*o**2 - 2*o + 31460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 1202 = -21*y + 26*y, 3*u = y - 226. Calculate the least common multiple of y and 38.\nAnswer: 4522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 59790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 229 + 219 = 0. Suppose 4*h - 861 = -3*c, -h + q*c = -234 + 27. What are the prime factors of h?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 3. Let a(w) be the first derivative of 5\/4*w**4 - 3\/8*w**q - 1 + 1\/2*w - w**3. Factor a(f).\nAnswer: (2*f - 1)**2*(5*f + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.51 and -1899298?\nAnswer: -2867939.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-136258)\/4 + (11 - 138\/12). Let v = 422065 + z. Round v to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (450\/405)\/(121\/165) + 2\/(-11).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22052?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (2*-1*sqrt(288) - (sqrt(288) + (sqrt(288) + -1)*2) - (-1*sqrt(288) + -3 + 4)) + -1 + 2)**2.\nAnswer: 4608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 74*u**2 - 24832. Let x(g) = -2*g. Determine q(x(o)).\nAnswer: 296*o**2 - 24832","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6086119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 369 is divided by 328?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-16)\/(-12))\/(-2))\/((-287)\/(-123))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 1. Let c(j) = j**3 + j**2 - j + 4. Let i(h) = -c(h) + 3*g(h). Let w be 2\/(-6) - 2\/3. Let z be w\/(-5) + 42\/(-10). Give i(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/90*-28*(5904\/(-574))\/(-24)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 + 7)*1 + -1. Suppose -2*r + 5*p = 106005, -3*r - 45873 = -i*p + 113130. Round r to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 39, 60, 83?\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 p when two letters picked without replacement from pdpppdpd?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -2\/5, 8, 0.1, 4, 1595, 0.4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 525 is divided by 93?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + 5*y**2 - y + 2. Let f be x(5). Let w = -7 + 9. Which is the third biggest value? (a) -0.2 (b) w (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.28 or 2\/15?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) + sqrt(275) + 3)**2 + sqrt(11) + -4.\nAnswer: 61*sqrt(11) + 1105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -4*j - 82. Give k(-11).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**5 + 20*v**4 + 150*v**3 + 500*v**2 + 625*v.\nAnswer: v*(v + 5)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**13*b**16\/b)**(-36\/11) assuming b is positive.\nAnswer: b**(-1008\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (90\/(-252)*-7)\/((-7)\/70).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1643 - 1642. What is the second biggest value in 26, -4\/3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 15, -2 in decreasing order.\nAnswer: 15, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 3*i + 4. Let x be k(4). Let g be (-2)\/(-1 + 2) - 34. Let a = x - g. What is the remainder when a is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 361934?\nAnswer: 2, 37, 67, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 15567889.3 to the nearest one thousand.\nAnswer: 15568000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1287634 + 4164147. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28431?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-36)\/24*-2 + (1 - -1) - -33. Solve 4*v = 5*j - 17, 0 = 34*v - n*v + j - 13 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6*15\/6 - (-155 - -166). Which is the nearest to -1? (a) 7 (b) -70 (c) -0.4 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110012 - -10?\nAnswer: 110022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 + 10. Let x = -6.8 - -7.236. Let j = -0.436 + x. Which is the smallest value? (a) -2\/3 (b) 1\/8 (c) j (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (4 + -2 + 0 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 205368, 410733, 616098, 821463, 1026828, 1232193?\n\"Answer: 205365*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2 and 7847755370.5.\nAnswer: 7847755370.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**2*y**3 - 2398*d**2*y**2 - 1182*y**4 wrt y?\nAnswer: 6*d**2 - 28368*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 8 = -4*g - 2*o, -g - o + 5 = 0. Let s be (g\/6)\/((-10)\/20). What is the biggest value in s, 1\/6, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 1. Calculate the remainder when 44 + 2*f\/2 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 7067, 7052, 7029, 6998, 6959, 6912?\n\"Answer: -4*l**2 - 3*l + 7074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 w, and 2 n when four letters picked without replacement from nwpkqwsns?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - -4) + (-22)\/(-1). Find the third derivative of -x**2 + 2*x**6 + 10*x**2 + q*x**6 wrt x.\nAnswer: 3120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 911 + -402. What is the hundreds digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12.17 + -12. Let z = b - 0.57. Let l = 1.94 + 0.06. What is the second biggest value in 4, l, z?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 486 is divided by 98?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 divided by 123471.\nAnswer: -2\/7263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 134*w - 2. Let a be g(11). Suppose 8*p - 619 = 509. Is p > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2630 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*f - 775 = -69*f + 179*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9747, 1, 5, 26 in increasing order.\nAnswer: -9747, 1, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*y + 0 + 1\/2*y**3 - 7*y**2 + 1\/2*y**4.\nAnswer: y*(y - 4)*(y + 2)*(y + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1238 + 1238. Let b be ((-1)\/2)\/((-1)\/10). Suppose 3*d + 2 - 5 = f, -86 = -b*t - d. What is the remainder when t is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*r + 5*r. Let n = 6 + r. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 154*i**2 + 39*i - 729. What are the prime factors of v(11)?\nAnswer: 2, 89, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122875 divided by -24575?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1444992 to the power of 1\/2, to the nearest integer?\nAnswer: 1202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 smaller than 134?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0041560718 rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yi when two letters picked without replacement from {e: 2, f: 1, j: 2, i: 2, y: 1, s: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -195. Suppose g - 5*g - 2656 = 0. Let w = i + g. What is w rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 4*n - 45. Let y = 45 - n. Solve 0 = -3*b - k - y + 4, -3*b - 4*k - 35 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(42) - -2*sqrt(4200) - (sqrt(84)\/sqrt(2) - sqrt(42))*5)\/(sqrt(66)\/(-4*sqrt(33)\/sqrt(3))).\nAnswer: -84*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4151657*s - 2075834*s - 2075821*s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 24\/7 - ((-864)\/(-56) - 15). Let v = -7\/10 + 1\/2. What is the closest to -2 in v, n, 10?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k = -162, -8*k + 13*k - 89 = x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dsmd. What is prob of sequence smd?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -9*w**2 + 6*w**2 + 0*w**3 - 1 + 3*w + w**3. Let k be r(2). Is 53*(2 + k + -2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1090 and -26787154.\nAnswer: -26786064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -412 and -3393.38.\nAnswer: 1398072.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 12*m - 5. Give t(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 229 + 179 = -4*s. Let h = 163 + s. Suppose 4*v + z = 119, v + v - z = h. Is 9 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -1\/2, 24, 0.\nAnswer: -1\/2, 0, 14, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of z**2 - 25. Let g(c) = -21*c**2. Give n(g(q)).\nAnswer: -42*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + 11*a**2 + 10*a + 5. Let r be v(-9). Calculate the highest common divisor of 11 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 115*f*h**2*z + 58277*f*h*z - 7*f + 2*h**2*z + 7*z + 140532 wrt h?\nAnswer: 230*f*h*z + 58277*f*z + 4*h*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -2617?\nAnswer: -2612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i + 7. Suppose 2*t + 14 = 4*s - 8, 4 = s - 2*t. What is d(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 (base 9) in base 7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (-2)\/(-6))\/(54300\/(-450) + 121)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5022, 0.2, 1, 5, 79?\nAnswer: 5022","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/20)\/((119\/140)\/(-17))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.03 (b) -61 (c) 2\/35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 334 - 205. Is c a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lh when two letters picked without replacement from ayhaqaqhhlaqrra?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-12))\/(335\/40 - 8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n + 7*n - 446109 = -132189. What are the prime factors of n?\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 6. Suppose -r - b + 378 = 0, -2*r + 110 + 666 = -u*b. Suppose -r = -z + 187. Round z to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 68065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13589?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 0.05. Let i = z - 0.05. Sort -1, i, 4\/7 in decreasing order.\nAnswer: 4\/7, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gmaegrqmgqaaema. What is prob of picking 2 g, 1 r, and 1 m?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.2, -5, 6\/5, -0.4, 18 in increasing order.\nAnswer: -5, -0.5, -0.4, 0.2, 6\/5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2a + -b94?\nAnswer: -bc1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 132 + -10?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3082?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104896121.\nAnswer: 11, 79, 120709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 95377 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 651\/17360*(-45)\/9.\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -6. What is the closest to 2 in -0.1, r, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/1575 and 94\/225.\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 32 - -101?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 2:58 AM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1473 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 + 39. Differentiate -4*w**2 + 27 - i + 0*w**2 with respect to w.\nAnswer: -8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 5*u**2 + 100*u - 505. Let l(s) = -2*s**2 + 1. Let b(k) = 5*l(k) + m(k). Factor b(x).\nAnswer: -5*(x - 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 + 32. Suppose -6*w + 6 + 6 = 0. Suppose -w*a + 13 = -29. Solve -a + i = 4*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of -g**4\/24 - g**2\/2 + 3. Let x(l) be the second derivative of z(l). Calculate x(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(36)\/sqrt(2)*-5 - sqrt(324)\/sqrt(2))\/(sqrt(144)*4*5).\nAnswer: -1 - sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4897903 + 15487903. What is g rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 - -23. Let j(p) = 3*p**2 - 21 - p + 10 + 12. Let l be j(b). Solve l = 3*g - v + 28, -5*v + 45 = -5*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 35 + 86 + -105?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b (base 14) to base 2.\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16 times -15252.7?\nAnswer: 2440.432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14.07 + 0.07. Let p = -9.51585 - 4.48408. Let i = p - v. Round i to five decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -76315*p + 2864 + 6121 - 1200 + 66804*p wrt p.\nAnswer: -9511","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18525?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 - 6 = 3*s. Let w(z) = 1 + 3*z**2 - z**2 - z**2. Let y(l) = 4*l**2 + 2*l + 6. Let k(t) = -5*t - 36. Let c be k(-7). Calculate c*y(v) + s*w(v).\nAnswer: 2*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of -t**3\/3 - t**2 + 7*t + 104. Let j be i(15). Is j > 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -590 = -4*n - 142. What is the highest common factor of 42 and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -168543482, -337086964, -505630446, -674173928, -842717410, -1011260892?\n\"Answer: -168543482*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 PM and 6:19 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - h + 0*h + 1)*(3 + 7 + 6*h - 4*h) as f*h + g*h**2 + i and give f.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1905942*v**3 - 4 + 0 + 4.\nAnswer: 1905942*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.014465 - -0.0243. Round r to 3 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**2\/7 + 684746*o\/7 - 684748\/7 = 0 for o.\nAnswer: -342374, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -3*i - 8. Let q = 37 + -34. Let l(p) = -p**2 + 2*p - 3. Let o be l(q). Determine z(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 579.284 and -152.\nAnswer: -88051.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37632 and 231084?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**2 - 11*c - 12. What is the remainder when 49 is divided by m(8)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34101407?\nAnswer: 34101407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3423, 6844, 10265?\n\"Answer: 3421*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-1 + (-710)\/(-706)). Let v = -240 - p. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -26*h - 11. Let p be u(-4). Let c = -70 + p. What is the remainder when c is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -13, 2\/21, -0.2, -2\/5?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.12 times -0.2?\nAnswer: -0.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1105 = -110*n + 63*n + 34663. What is the highest common divisor of n and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of -h**7\/21 - h**6\/12 + 694*h**3\/3 + 538*h**2 - 2*h. Find the first derivative of v(g) wrt g.\nAnswer: -40*g**3 - 30*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 6*w - 198. Suppose 5*d + 2*f = 124, 4*d + 3*f + w = 7*d. Calculate the lowest common multiple of d and 21.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -37 by -93156.\nAnswer: 37\/93156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22030 (base 4) to base 14.\nAnswer: -348","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1540 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 3:29 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**2\/3 - 262*k\/3 - 5544 = 0. Calculate k.\nAnswer: -154, -108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 6:13 PM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 - 12*k + 10. Let m be a(-7). Calculate the highest common divisor of m and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 397*r = -402*r + 5, -2*m + 8*r = 22 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/5*30\/12. Which is smaller: 6 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*w**4 + 16*w - 14*w - 7*w**4 + (-47*w**3 + 88*w**3 + 41*w**3)*(-3*w + 4*w + w) + 2*w**4 - 4*w**2 + 4*w**2.\nAnswer: 151*w**4 + 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -214 - -283. Suppose -783 = 66*w - l*w. What are the prime factors of w?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -94*z**3 + z**2 - 8*z + 13. Determine n(2).\nAnswer: -751","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1287 - 1282. Factor 0*s + 2*s**3 - 10\/7*s**4 + 2\/7*s**k - 6\/7*s**2 + 0.\nAnswer: 2*s**2*(s - 3)*(s - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -2 (b) -318 (c) 2 (d) 232\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-129)\/(-86)*2\/(-1) - 630\/(-45)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 2 = 30. Let l be (204\/h)\/((-1)\/(-48)). Does 36 divide (-8)\/52 - l\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -5*b**2 - 6*b - 13. Suppose -5*d - 3*h - 23 = 9, 0 = -3*h - 12. Let u be p(d). Let l = 79 + u. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36.8 - -37. What is the third biggest value in a, 37, 4\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of x**3\/6 - x**2\/2 + 19*x. Let r be (1\/4)\/(4\/48). Let t be m(r). Solve 0 = t*q + 3*q - 10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**2 - 100452*q - 14852880.\nAnswer: 4*(q - 25260)*(q + 147)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 75818088?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate n*u**2 - 2*n*u + 1076752*n - 875*u**2 + 47*u wrt u.\nAnswer: 2*n*u - 2*n - 1750*u + 47","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2002785865 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_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: Put together -89052974 and -4734.\nAnswer: -89057708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.6 minus 0.0026?\nAnswer: 7.5974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 37148 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -129654295, -129654296, -129654297?\nAnswer: -129654298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119 - 479*f + 47*f**2 + 479*f - 49*f**2 - 119.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-83 - 50 - 57)*(-6*i + 3*i + 2*i)*(2*i - i + i).\nAnswer: 380*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10311729 is divided by 1537?\nAnswer: 1533","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6145\/3 - -2049. Which is the biggest value? (a) p (b) 19 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, 0, -10\/4539, -1 in descending order.\nAnswer: 1, 0, -10\/4539, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2, 19, 64, 139, 250, 403, 604?\n\"Answer: q**3 + 6*q**2 - 4*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28\/15*w + 26\/15*w**2 + 0 - 2\/15*w**3.\nAnswer: -2*w*(w - 14)*(w + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 267, 269, 271, 273, 275, 277?\n\"Answer: 2*q + 265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 2 z, and 1 k when four letters picked without replacement from {z: 4, k: 10, i: 4, e: 2}.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -33*r**2 + r + 1. Let n(f) = -34*f**2 + 2*f + 1. Let g(q) = -4*c(q) + 3*n(q). Is g(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11\/49 - 3\/49. Let z = -19\/48 + -79\/528. Put 0.3, y, z in decreasing order.\nAnswer: 0.3, y, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of q**7\/273 + 2*q**6\/195 - q**4\/39 - q**3\/39 - 11*q. Factor d(o).\nAnswer: 2*o*(o - 1)*(o + 1)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -185*k - 172*k + 326*k + k**3 wrt k?\nAnswer: 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**3 - 3*y**3 + 2*y**3 + (-2*y - 1 + 1)*(-y**2 - 2 + 2))*(-2 + 6 - 2)*(y + 3*y + 8*y)*(-1 - 1 + 3).\nAnswer: 72*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - -2)\/(33\/(-44)) - -6. Let x(r) be the third derivative of 0 - 1\/60*r**5 - n*r**2 + 1\/3*r**4 - 8\/3*r**3 + 0*r. Factor x(u).\nAnswer: -(u - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4896 - 4359. Solve 6*q - m = -501 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/2*10\/15. Suppose 2 = 4*p - 2. Does 8 divide 0 - (p + m*28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y + y - y**2 + 3 + 0*y. Let b(n) = n + 1. Let k(j) = a(j) - 6*b(j). What is the units digit of k(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minus 0.7852?\nAnswer: 295.2148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 8*s**2 - 9*s - 1. Let v be z(-7). Let m be (-10)\/2 - (-59 - -2). What is the greatest common divisor of v and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7468?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - -3) + (2 - (-2 + 4))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*i**5 - 100596*i**4 + 10577276*i**3 - 284198872*i**2 + 185955058*i - 30797876 = 0 for i.\nAnswer: 1\/3, 53, 5482","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - 9*x**2 + 4*x - 60. Calculate a(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i + 5518 = -1008. What is the third derivative of -103*a**3 + a**3 - 405*a**2 + i*a**2 wrt a?\nAnswer: -612","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4704 divided by 49\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -25 (b) -0.1 (c) -5\/2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*m + 86*m + 1264 = 0. Let x = -26 - m. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vt when two letters picked without replacement from {r: 1, u: 2, z: 4, t: 1, v: 3}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -101392 divided by -12674.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**2 - 28*j - 5. Let l(r) = -5*r**2 + 86*r + 13. What is 11*b(i) + 4*l(i)?\nAnswer: 2*i**2 + 36*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of 233*v**3\/3 + 3. Let o be k(1). Let n = o - 2099\/9. Which is the closest to -1\/2? (a) n (b) 4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + 6045\/(-513) + (-3)\/(114\/4)\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/21, -3\/7, 134\/5, -0.1, 5, -12\/11, 3\/2?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**(-1\/4)*a)*a**(-4))\/(a*a\/((a**(4\/5)*a)\/a)*a*a\/(a**(1\/7)*a*a*a)))\/(a**(2\/5)*a**5*a*a*a**3*a**(2\/7)\/a*a) assuming a is positive.\nAnswer: a**(-2029\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1021 (base 5) to base 4.\nAnswer: -2020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 9:03 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of x**7\/42 + x**5\/20 + 29*x**2. Find the third derivative of n(b) wrt b.\nAnswer: 120*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1796*r**2 - 1791*r**2 - 7*r + 7*r + 5385*r**2 - 1786*r**2.\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13604.9 - -13604.8060856. Let s = -0.0939 - d. What is s rounded to six decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6123850, 6123849, 6123848?\nAnswer: 6123847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -15*d + 55. Let q be f(12). What is the biggest value in -0.4, q, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3373961165 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 + 19*n**2 - 14*n - 70. Let a be f(18). Put 4.9, a, 0.1 in descending order.\nAnswer: 4.9, a, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*k + 133*k = -261 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 834358?\nAnswer: 2, 7, 61, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 461122 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -1. What are the prime factors of (-1 + z)\/((-15)\/85)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -4*s**2. Let p(t) be the third derivative of 5*t**5\/12 - 22*t**2 + 1. Calculate r(p(y)).\nAnswer: -2500*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7507 or 14?\nAnswer: 7507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39035.3 millennia to decades.\nAnswer: 3903530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*b - 8*b + 72 = 0. Let f(j) be the third derivative of -1\/20*j**5 + 1\/4*j**4 + 0*j + 0*j**3 - b*j**2 + 0. Solve f(s) = 0 for s.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(44) + sqrt(11))*6.\nAnswer: 30 + 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.999999 - 2. What is b rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 - 0)*78\/24. Solve -38*b = -34*b + 4*w - 44, 2*b - 5*w + x = 0 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.5 from -110708.217.\nAnswer: -110709.717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 - 61*x + 2493. Give g(-89).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4*((-4)\/(-8))\/1. Suppose -3*w = b*w - 510. Let m = -19 + w. Is m a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 1559*k**3 - 23*k**2 + 31*k + 78. List the prime factors of t(3).\nAnswer: 3, 4673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*v + 2*v + 4*x, -5*x = v + 17. Let y = v + -11. Suppose 0*r = -8*r - 64. Do r and y have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1467\/(-652) + 2\/(-8)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 6:05 PM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4334, -4331, -4328, -4325?\nAnswer: -4322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - 4*l + 23. Let m be f(-7). Suppose 2*o = -o - 3*i + 2289, m*i + 760 = o. What are the prime factors of o?\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -118349292 by -136662.\nAnswer: 866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-274 - 437 - 3)*(2*j + j - 4*j).\nAnswer: 714*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -3*l**2\/2 - 840*l = 0.\nAnswer: -560, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4912621?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.0595 + 0.0595. Which is the third biggest value? (a) h (b) 2\/41 (c) -0.4 (d) -6\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73556 to the power of 1\/2, to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -6*h - 48. Let i be c(-9). Suppose 0 = i*k - k - 2285. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -92, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.38 + 0.38. Which is the third biggest value? (a) 1\/4 (b) g (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/10 and -2 + -4 + 190\/4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -4, -1\/11, 8 in descending order.\nAnswer: 8, -1\/11, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 778 + 54\/(14 - 23) is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38628585?\nAnswer: 3, 5, 367, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/66)\/((-2)\/(-36)*2).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 a when three letters picked without replacement from {k: 6, b: 4, a: 4, l: 3}?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -11, -2\/29, 4, -3566?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 3*sqrt(1900) + sqrt(1900) - sqrt(1900).\nAnswer: -5 + 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -128646, -1029150, -3473394, -8233254, -16080606, -27787326?\n\"Answer: -128646*n**3 + 6*n**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 140.2*2\nAnswer: 280.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 2 = -2*h, 170*h + 22 = 175*h - d for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/8 - 2\/(36\/383). Let b be 1906\/(-90) + (-3)\/6*-6. Let j = b - t. Is 4 >= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.034 - 3.034. What is the closest to 1 in -1\/2, z, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 451 and 1210033.\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from npzwzzpnpz. What is prob of picking 2 p?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -25 + (5 - -25) + -11\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from htththwwttww. What is prob of sequence ht?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - 27*n**2 + 50*n + 14. Let k be a(25). Let g(b) = 13*b**2 - k*b**2 - 2*b**2. Let y(o) = -58*o**2. Calculate g(y(q)).\nAnswer: -10092*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -104320 (base 5) to base 2\nAnswer: -111001111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2467, 8062, 13657, 19252, 24847, 30442?\nAnswer: 36037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 28*k**3 + 2099*k**2 - 87*k - 157. What is the remainder when s(-75) is divided by 146?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -2*u**2 - 9481580*u - 11237544912050 = 0.\nAnswer: -2370395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + 200501?\nAnswer: 200502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 2*v - 3*b - 9, -3*v + 5*b + 4 = 0. Solve p - 10 = -5*q, -3*p - 3*q + 21 = v for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 5*n**5 - 150*n**4 - 2430*n**3 - 4160*n**2 + 16185*n - 9450 = 0.\nAnswer: -9, -5, 1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -1, -139, 4 in ascending order.\nAnswer: -139, -1, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.016113542 rounded to four dps?\nAnswer: 0.0161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a + 9 - 5*a - 3 - 9*a. Let y(u) = 4*u - 2. Let v(i) = 6*p(i) + 17*y(i). Determine v(6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + 13. Suppose -3*a + 93 = 5*g, -3*g + a = -34 - q. Let u = -10 + g. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -65.119 and -0.232405.\nAnswer: -65.351405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**3\/5 - 12384676*m**2\/5 + 9586355360956*m\/5 - 28758508775148.\nAnswer: 4*(m - 1548077)**2*(m - 15)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 248296?\nAnswer: 2, 41, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, s: 2, j: 2, t: 1, g: 2}. Give prob of sequence gn.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 1:16 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 21 = -f, 2*n - 8 - 1 = -f. Suppose -n = -2*v + 3. Suppose 10*r + 1115 - 1115 = 0. Solve r*q + 6 = -2*q + x, q + 17 = v*x for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-3 + 84\/(-32))\/(-3)*20 and 50\/(-44)*(1 + -3).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18938.991467 - 18939. Round r to 4 decimal places.\nAnswer: -0.0085","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -g + 3. Let x(l) = l**3 + 5*l**2 - 13*l + 14. Let y be x(-7). Let s = 1\/231 - -919\/1155. Which is the nearest to y? (a) s (b) g (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 24505 - 1482 = 5*c, 9222 = 2*c + 2*r. List the prime factors of c.\nAnswer: 17, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -136*s + 48*s + 0 + 1 to g*s + r and give g.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1056622 - 863*t + 1056622 to q + s*t and give s.\nAnswer: -863","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*c - 2)*(500896 - 5*c - 501322 + 4*c).\nAnswer: 2*c**2 + 852*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 7*w**2 + 13297*w - 529219. Give m(39).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1939394 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (2 + -1 + -4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 175.4325 litres in millilitres?\nAnswer: 175432.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -241 + 104 + 135 - 7078*h**5 - 1603*h wrt h.\nAnswer: -141560*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 261301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-60) - (-310)\/75. Let m be ((-8)\/16)\/((-2)\/20). Solve 7 = -i*s - m for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (8 - 5) + (63 - 6) is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 783*l + 419. Is z(10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-13)*(-21736)\/627.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*i**3*n**3 - 32*i**3*n*t + 2*i**2*n + 2*i*n*t + 801072*n**2*t + 997*t wrt n?\nAnswer: 24*i**3*n + 1602144*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) 189 (c) -177 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4472, -17877, -40218, -71495, -111708, -160857?\nAnswer: -218942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98420576?\nAnswer: 2, 53, 58031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 10*a + 94. Let l be c(-7). Sort 4, 0, l.\nAnswer: 0, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, k: 2, q: 1}. What is prob of sequence nq?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 3 = -3*o + 7, 5*q + 4*o = 25. Let f(j) = 5*j + 1. Is f(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(1 + sqrt(2736)) + sqrt(76) + -1 + 5)*2.\nAnswer: -92*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -61 bigger than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 600180211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of -9*(-11)\/(-66) + (-366)\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 328080115, 656160227, 984240339, 1312320451, 1640400563?\nAnswer: 1968480675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 1412?\nAnswer: 4236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -20518 and -735086904?\nAnswer: 735066386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-4*(-3 + sqrt(1584)) + (-4*(2 + sqrt(1584)) - sqrt(1584)))*-2)**2.\nAnswer: -3456*sqrt(11) + 513280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20245233 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3140 + 128695*u - 3140.\nAnswer: 128695*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 9 = 2*t. Let x(z) = -z**2 - 15*z - 11. Let h be x(t). Solve -2*k - 33 = 5*v, -4*k + h*v + 4 = -v for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 154\/123 (c) 5 (d) -0.2 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1032 divided by -1032?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 4*t - 12. Suppose 4*x - 2*n = 9878, 6*n = -3*x + 4*n + 7405. Solve -x*d + 2469*d + 8*d**2 + 4*d**t = 0 for d.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*c**2 - 102*c + 9515 wrt c.\nAnswer: 8*c - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 458274, 916432, 1374604, 1832796, 2291014, 2749264?\n\"Answer: q**3 + q**2 + 458148*q + 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -2*k - 72, 3*d - 4 - 56 = 4*k. Solve -25*a - d = -27*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 219 (c) -0.23951\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42.1 - 42. Let h = -2.4 + 2. Which is the closest to l? (a) 3 (b) h (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f**2*t**2 + 174*f**2 - 5*f*t**2 + 2*f*t - 274 wrt t.\nAnswer: -4*f**2*t - 10*f*t + 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(66)\/(sqrt(48)\/(sqrt(16)\/sqrt(2))) + (1*sqrt(539) + sqrt(11))**2 + (sqrt(11) - (sqrt(275) + -1))) + -3.\nAnswer: -2823 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 87 + -88. Let u(p) = -p**3 + p**2 - p. Let g(i) = 4*i**3 - 3*i**2 + 2. Let c(h) = d*g(h) - 3*u(h). What is q in c(q) = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 7 = 9. Let g be (h\/36)\/((-12)\/(-27)). Let d = 404\/15 + -82\/3. What is the second smallest value in g, -4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5 + (-9 - -4 - -2). Suppose -l*w + 3*w - 17 = 0. Calculate the remainder when -26*1\/4*-10 is divided by w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -5*c + 1221 + 1478, 2*c - 1084 = 3*q. List the prime factors of c.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100 - 100120202210?\nAnswer: -100120202110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 63, 186, 309, 432, 555?\n\"Answer: 123*a - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -87.\nAnswer: -34.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 55524 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 48 in 3, -2\/25, 5, -7.6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*b = -84*b + 966. Let f(h) be the third derivative of -h**4\/24 - h**3\/3 + h**2. Give f(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 53 - 45. Suppose -10*y + 12 = -s*y. Let p be 88\/16 - y\/(-4). Solve 5*c + 3 = -2*f, -f + 4*f = -5*c - p for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 2109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.4, -183, -0.014.\nAnswer: -183, -0.3, -0.014, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 2. Suppose 4*w = 85 + p. Calculate the remainder when w is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 56366.4.\nAnswer: 281832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vrvvvvvrvvvvv. Give prob of sequence vv.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 212, 272, 364, 500, 692, 952, 1292?\nAnswer: 1724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t + 29 + 19 = 10*s, -7*t - 16 = s - 6*t for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 17\/14*(1920\/136)\/60\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2735 and 1?\nAnswer: -2735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-30)\/4*(-8)\/(-5). Let i be (g\/(-10))\/(196\/70). Suppose 5*s + 96 = 91. What is the nearest to s in i, 0.4, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/64242948 and -173\/3826746.\nAnswer: 2120017284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1)\/w*w*w*(w*w**(3\/4)*w)\/w*w*w)**(-40)\/((w\/((w*(w\/(w*(w**(-1\/2)*w)\/w))\/w*w)\/w*w))**(-9\/7)*w**5*w**2*w) assuming w is positive.\nAnswer: w**(-2221\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 2*w = -21. Let b be (34\/14 + -3)*w. Suppose -y = -5*y + 4*i, b*y = -i + 15. Solve -3*g = -y - 3 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 + 4*c - 1. Let f be r(4). Let n be ((-3)\/6)\/(2\/(-4)). Let x = f - n. Sort x, 1, -3.\nAnswer: -3, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9527, 38104, 85731, 152408, 238135, 342912?\nAnswer: 466739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 233\nAnswer: -228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/4 of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ltlttt. Give prob of picking 2 t.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-21)\/12 - (-2)\/(-8). Let k(i) = -8*i**4 - 1. Let r(h) = 7*h**4 + 1. Let m(z) = b*k(z) - 3*r(z). Differentiate m(x) with respect to x.\nAnswer: -20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16\/(-12)*-3 + 116. Suppose 20 = 5*j, -3*n + 176 + c = -4*j. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -21 + 109. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.8877811 - 0.8874. What is p rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -6*d + 0*d + 5*d - d**2 - 4. Let k be o(-3). What is k rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4735 + 6207. What is the highest common factor of b and 230?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -65, -92, -105, -98, -65?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1866.929 + 77.22?\nAnswer: -1789.709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, o: 1, c: 1}. Give prob of sequence cw.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 28\/(-6)*((-312)\/(-28) - 12). Solve -x - 15 = m*k, 2*x + 4*k + 5 + 5 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 130020402213 - -3?\nAnswer: 130020402221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of -s**8\/840 + s**6\/60 + 5*s**3\/3 - 6. Let r(c) be the third derivative of h(c). What is the third derivative of r(a) wrt a?\nAnswer: -48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -20 - 111130?\nAnswer: -111150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 898232998 a multiple of 431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of 3*y**4\/4 - y**3\/3 - 5*y**2\/6 - y\/3 - 11. Determine j so that u(j) = 0.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70, -120, -162, -202, -246, -300?\nAnswer: -370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**3 - 80984*l**2 + 16155819*l + 32635566 = 0.\nAnswer: -81183, -2, 201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -19, -17, -61, -175, -383, -709, -1177?\n\"Answer: -4*l**3 + l**2 + 27*l - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 178343.1mg?\nAnswer: 0.0001783431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 20004\nAnswer: 10002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 199 + -205. Sort -0.03, v, 2\/13, -4 in descending order.\nAnswer: 2\/13, -0.03, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + 7*y - 39. Give i(-11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhhi when four letters picked without replacement from {h: 7, p: 1, i: 5}.\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-2\/3)*t)**(-10)*(t**(1\/3)\/t)\/(t\/(t\/((t\/t**(2\/23))\/t*t*t)*t*t)*t))\/(t**8\/t**9*(t\/(t*t**(-8)))\/t**(-9)) assuming t is positive.\nAnswer: t**(-711\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) + sqrt(190) + -1*((sqrt(190) - 2*sqrt(190)) + sqrt(190)))\/sqrt(10) - -3*sqrt(76)\/sqrt(4)*5.\nAnswer: 17*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (251\/4 - 0)*8 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1468c8 (base 13) to base 4\nAnswer: 1322020023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (8 - (7 - 7)) + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 371 - 1115\/3. Let i = 3 + -2.9. What is the nearest to u in 0.2, -1\/3, i?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (171\/(-570))\/((0 - 1) + -152*12\/(-1536))?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*u + 4*u - 7*u)*(4 - 2 + 2 + (1 + 2 - 1)*(39 + 3 + 13))*(-2*u**4 + 0*u**4 + 3*u**4).\nAnswer: -1026*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 72 (b) 66.9 (c) 2 (d) -2\/3 (e) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 + 17. Let m = 0.021 + 0.379. Which is the biggest value? (a) m (b) -0.4 (c) -4 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 4*a. Let w be k(-1). Let q be 1\/w - (-180)\/(-48). Let i be q\/7 + (-162)\/(-63). Is i equal to 9\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16022 (base 7) to base 8.\nAnswer: -10573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 2925783 - 405783 = 0. Round f to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -92\/167 (b) 0.3 (c) 1\/3 (d) -32\/145\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = -3*l + 14*l - 85 - 97, 3*l - 4*u = -9*u + 26 for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -20569 rounded to the nearest 100?\nAnswer: -20600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -179 + 5*m - 9*m + 2*m to d*m + h and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*10\/(-4)*3*2. Suppose -c + 452 = 3*f, -5*f + 656 = -c - 92. Calculate the greatest common factor of f and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddw when three letters picked without replacement from {d: 13, w: 3, b: 2}?\nAnswer: 13\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -536, -2138, -4798, -8510, -13268, -19066, -25898?\n\"Answer: h**3 - 535*h**2 - 4*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -158501, 1\/6 in increasing order.\nAnswer: -158501, 1\/6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-4) - 90\/24. Sort s, 7, 1.\nAnswer: s, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.069956008664 and -216.\nAnswer: -216.069956008664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 3*u - 17, 16 = -2*i - 0*u + 4*u. Suppose 3*g = -c - 16, -2*g - 2*g - i*c = 24. Let h be ((-3)\/g)\/(20\/(-16)). Is 0 <= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 48*z - 11. Suppose 0 = -2*b - 47 - 23. Let y = -33 - b. What is the remainder when x(y) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -67 + 6. Let s = -60 - t. Solve -k + y + s = 0, -k + y + 11 = 2*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 5:49 AM?\nAnswer: 8:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssskssssskkksk. Give prob of sequence kkks.\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 22\/(-5) + 10\/25. Let p(a) = -86 + 4*a - 85 + a**3 - 79 + 252 + 5*a**2. Determine p(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 673*n**3 - 22*n**2 - 64573066*n + 64573066*n + 22*n**2 - 671*n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 19, -0.06, 58, 83 in increasing order.\nAnswer: -2\/11, -0.06, 19, 58, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, r: 1, t: 5}. What is prob of sequence ccrc?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16294098 is divided by 335.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 = -6*t - 31 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*5*(-1 + sqrt(405))*2)**2.\nAnswer: -7200*sqrt(5) + 162400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*c**3*j**6 - 283*c**3*j**4 + 73*c**3*j**2 + 2*c**3 + c*j**2 wrt j?\nAnswer: 480*c**3*j**3 - 6792*c**3*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 0*a + 3 = 0. Let f be 18\/40 - 4\/16. What is the nearest to 0.2 in f, 2, a?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, g: 2, j: 3, p: 3, x: 4, n: 1}. Give prob of sequence jngx.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 46306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**3 + 28*h**2 + 28*h + 29. Let u be n(-13). Suppose -q + 52 = 5*x, x + 6*q - 16 = u*q. Solve -s - x = -5*m + 4*s, 4*m + 1 = s for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16054, 15130, 14206, 13282, 12358, 11434?\nAnswer: 10510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170 is divided by 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 123 and 18573?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34842690743 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 7, -1.5, -5, -32\/13?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -7. Suppose -i = 5*u - 21, u + 57 = 5*i + c*u. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19\/4 of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + ((-9)\/3)\/(-3) + 10. Find the first derivative of -x*u**4 - 37 - 40 + 49 wrt u.\nAnswer: -60*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2303 + 174*n - 176*n - 2303.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from teggqqetrqxttrreett. What is prob of picking 2 r and 1 g?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, z: 6, g: 11}. What is prob of sequence zc?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1970?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -24 or -2009\/87?\nAnswer: -2009\/87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.3 * 15.\nAnswer: 19.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(0 + 6) - 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2216658*p**4*w + 3*p*w + 565755*p wrt p?\nAnswer: -26599896*p**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -143, -382, -777, -1328, -2035?\n\"Answer: -78*g**2 - 5*g - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 273511.3cm to micrometers.\nAnswer: 2735113000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -49*y**3 + 17*y**3 - 7*y**2 - 2055 + 2055 - 4792*y + 69*y**2 wrt y.\nAnswer: -192*y + 124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -0.2, 59, 0.47?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - 10*u - 7. Calculate n(9).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -319*b - 1622 - 2395 = -10*b for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.026604857254 - 0.5.\nAnswer: -0.526604857254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/240*(-70)\/63?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/12*0*1. Suppose -t + 7*t + 36 = x. Is -3 less than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*j - 5*j - 65*j + (3 - 3 - 2)*(-2*j + 0 + 0) to the form a + k*j and give k.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -58289 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 105060\/9179 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 7, l: 3}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.35 + -0.05. What is the second smallest value in 3\/7, 0, -0.5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h**2 - 12840290*h + 8243652364205 = 0. Calculate h.\nAnswer: 1284029","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(19*b**4 - 5*b**4 + 2*b**4) - 28*b**4 - 1195 + 1195.\nAnswer: 4*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -78 + -5?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1203315 less than 9.654?\nAnswer: -1203305.346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*b*f**2 + 67272*b*f + 30144212*b - 2*f**2 + 8*f wrt f?\nAnswer: -6*b*f + 67272*b - 4*f + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 205, 957, 3005, 6997, 13581, 23405?\n\"Answer: 108*b**3 - 4*b + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) + -3 - (2 + sqrt(88)\/sqrt(8)))**2 + sqrt(88)\/((sqrt(144)\/sqrt(3))\/sqrt(6))*3.\nAnswer: -57*sqrt(11) + 421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*1\/2*66\/429?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (755 - 0 - -2) + 3\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -209 + 209 + 2*n**3 + (2*n**2 + 0*n**2 + 0*n**2)*(2*n + 3*n - 3*n)*(-5 + 4 + 2).\nAnswer: 6*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.07, 9, 20664, -0.2 in descending order.\nAnswer: 20664, 9, 0.07, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/15 - 26\/(-6). Suppose -5*w + w + 20 = 2*z, v*w = -5*z + 35. Suppose 0 = -w*o + 3 + 3. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5905555*c**2*i**4 - 30*c**2*i**2 - 5342*c**2*i - 2*c**2 - 2 wrt i?\nAnswer: -141733320*c**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)*2*6)\/(sqrt(6)\/sqrt(2)*4).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*20\/1300*221?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 939 = 4*h - h, -3*i = 4*h - 570. What are the prime factors of i?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1515*u + 2101*u - 46880 = 0 for u.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) + 5 + 2*sqrt(112))**2 - sqrt(112))*1 - (1 + sqrt(112) + -2 + -2)**2.\nAnswer: 140*sqrt(7) + 912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by 42348\nAnswer: -1\/3529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/(-6))\/((-2)\/18*2). Suppose -k - f + 33 = -6*f, r*f + 15 = 0. Calculate the greatest common factor of k and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 3*c = -23, x + c = -2*x - 25. Suppose -5*v = 4*t - 48, 4*v - 28 = 3*t - t. Let a = v + x. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 571 + 1052706?\nAnswer: 1053477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 196666812 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 439 - 25*j - 14*j - 145 - 143 + 448*j**2 - 133 wrt j?\nAnswer: 896","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 476631.88 to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5099 - -5098. What is the closest to g in -1\/2, -5, -27, 0.4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33405 and 744735.\nAnswer: 12660495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -135813221\/525 + 258692. Find the common denominator of a and 33\/112.\nAnswer: 8400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 6:00 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 6) in base 7?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(1900) + 5*(sqrt(1900) - (1*sqrt(1900))**2))*-1.\nAnswer: -120*sqrt(19) + 19000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - b + 3 - 19 = 0, 0 = -2*f - 5*b + 8. Let v(w) = -w**3 + 6*w**2 - w - 5. Is v(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2040 = 41*d - 7*d. Solve 0*c + 20*c + d = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -5*a**2 + 21*a - 4. Let c be w(4). Solve 2*t = -2*i - t + 3, c = -2*i + 5*t + 11 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6930 and 1785784?\nAnswer: 80360280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is d1 (base 14) in base 4?\nAnswer: 2313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s = 304 - 296 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -44*t - 27. Sort 266, -2, t.\nAnswer: -2, t, 266","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49702.8 litres to millilitres.\nAnswer: 49702800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2674, 5, -2\/5 in decreasing order.\nAnswer: 2674, 5, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 9 = -5*x. Suppose 16 = 25*k - 34. Let l(f) = -k*f**2 + 6*f**2 - 5*f**2 + 4*f + 3 - 2. What is l(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.04 - 1.96. Let a = 2.1 + z. Let i be 325\/45 + -7 + (-159)\/108. Which is smaller: a or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - (7 - (5 + -1 + 7)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 - 1. Let m(q) = q**2 - q + 1. Let j = 412 + -414. Calculate j*o(s) - 4*m(s).\nAnswer: -2*s**2 + 4*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 60347 times 12?\nAnswer: 724164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -3*l**2 - 1760*l - 17297. Determine j(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(2057)*-1 - sqrt(2057))**2*2 + (sqrt(68) - ((sqrt(68) + -1)**2 - sqrt(68))*1 - sqrt(68)) + 5.\nAnswer: 6*sqrt(17) + 102786","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -18*p + 14*p + 43816, -5*p = -30. What is the thousands digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 230 - -163?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/35)\/(2\/(-14))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 1014*t - 247. Is x(15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 4*b - 98 = 0, -4*b - 35029 + 34925 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*b + 917 + 12330 = -32977. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -39, 30 in descending order.\nAnswer: 30, 2, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 70\/(-140)*(-4)\/10\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3108 - -15728\nAnswer: 18836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3337.534 centuries in decades?\nAnswer: 33375.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*p**3 + 20*p**3 + 6*p**3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -5*o - 101, -o - o + 126 = 4*j. What is the remainder when 1373 is divided by j?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51) - sqrt(459)*-1)\/(sqrt(54)\/sqrt(2)).\nAnswer: 4*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(12\/13)*j)\/j**(-19))\/(j**(6\/17)\/(j*j\/j**(-5\/8)*j)) assuming j is positive.\nAnswer: j**(42777\/1768)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*i - 5. Let s(m) = -2*m**2 - 4*m + 3. Let d(t) = 10*t + 12*t - 21*t + 4 - 5. What is i*s(g) + 3*d(g)?\nAnswer: -2*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - 63. Let l = -76.6 - f. What is l rounded to zero decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of b**7\/70 + b**4\/6 - 3*b**2\/2 - 5*b. Let g(x) be the first derivative of t(x). Find the second derivative of g(v) wrt v.\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 * 10.78\nAnswer: -64.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g - 358 + 358 - 3*g**2)*(1 + 0 + 5)*(-g + 5*g - 2*g).\nAnswer: -36*g**3 - 48*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*o = -14*o + 16957. What is the remainder when o is divided by 50?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13485439?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -63?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 65, 70, 71, 62, 37, -10, -85, -194?\n\"Answer: -x**3 + 4*x**2 + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 not equal to 91432?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2337, 4482, 6553, 8550, 10473?\n\"Answer: -37*v**2 + 2256*v + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85899*a - 85911*a + 171809*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 274 = -3*z - 5*v, 96*v + 246 = 39*z + 93*v for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1136832 divided by 382.\nAnswer: 2976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**3\/7 + 82*u**2\/7 - 32930*u\/7 - 2170354\/7 = 0.\nAnswer: -89, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 1 + o + 286*o**2 - 1.\nAnswer: 286*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of o**5\/60 - 23*o**2. Let m(d) = -d**2 - 4*d**2 + 4*d**2. Give m(k(w)).\nAnswer: -w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 7*d - 19. Let h(s) = -3*s + 9. Let c(o) = 9*h(o) + 4*i(o). Let v be c(-7). What is the units digit of (-15)\/(52\/(-20) - v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -b - b. What is the highest common factor of 5 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25755, -25746, -25723, -25680, -25611, -25510, -25371?\nAnswer: -25188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35 - -110) + -45 - 72.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**3)\/(l**(-1\/6)*l))\/(l**7\/(l*(l**(6\/11)*l)\/l)) assuming l is positive.\nAnswer: l**(-547\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/140*-12*38\/(-57).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*n**5 - 2673*n**3 - n**5 - 62*n**2 + 2665*n**3 - n**5 - 109*n**2 wrt n.\nAnswer: 180*n**2 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 4)*(-3*o**2 + 4*o**2 - 3*o**2) + (-2 - 5 - 7)*(2*o - 2*o - 3*o**2).\nAnswer: 32*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 57) + (37 + -47 - (-2 + -11)) + 5?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16786376 and 2?\nAnswer: 16786376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -9*y**4\/4 - 1106*y**3 + 2218*y**2 - 1480*y + 10264. Let i(g) = 0. Calculate g.\nAnswer: -370, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2020255 or 2020276?\nAnswer: 2020276","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1466399 is divided by 188?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 61259, 122262, 182993, 243452, 303639, 363554?\n\"Answer: -136*v**2 + 61411*v - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -4. Find g, given that -2*g**5 + r*g**3 - 137*g**4 + 137*g**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10024 - 52?\nAnswer: 5532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 8*y + 54 = -3*y + 16, -151*j = -254*j + 4*y + 1129 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2332 and 4048.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 927071.811 to the nearest 1000.\nAnswer: 927000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9144 + -6?\nAnswer: 9138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-3\/25))**45\/(u*u**(-2\/91)*u*u*(u**27*u)\/u))**(-17) assuming u is positive.\nAnswer: u**(-157964\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 221 and 2756?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -266, -274, -302, -362, -466, -626, -854?\n\"Answer: -2*r**3 + 2*r**2 - 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = 278*b - 273*b. Suppose -32*l + 104 = -b. Solve 0 = -q + 9 - l for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 0*n + 4*n + 12 = 0, 4*i + 15 = -n. What are the prime factors of 2*2\/i*-4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a tonne in kilograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102813.\nAnswer: 3, 43, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of t**6\/300 + t**5\/75 - t**2\/2 + 2. Let f(h) be the second derivative of l(h). Factor f(g).\nAnswer: 2*g**2*(g + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -91545*a**2 + 11900856*a - 780.\nAnswer: -3*(a - 130)*(30515*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -42 - -47. Suppose -2*k + 3*k - 4 = 4*i, 0 = p*k + 3*i + 3. Sort 2, -2, 3, k.\nAnswer: -2, k, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 8*i - 4*i - 715, -4*i - 233 = -j. Calculate the remainder when j is divided by 60.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 13 (b) -0.2 (c) 12125\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-680)\/204)\/(6970\/306)\nAnswer: -6\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 - 16 + 4*j**3 - 14.\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 + -13. Suppose 2*f - 27 = g. Let l = -18 + f. Solve -4 = p - l for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2 = -5*j + 2, 0 = -3*n + 2*j + 5. Let t be (0 - n)*(2 - -3). Let m = -14 - t. Which is smaller: 0 or m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a centimeter in micrometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7321\/17 - 431. What is the closest to -2\/3 in 2, 0.3, 0, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 708 - 239 - 232 - 2619*a**4 - 237 + 2705*a wrt a.\nAnswer: -31428*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of -2*p**7\/105 + 13*p**5\/30 - p**4\/12 + 1543*p**3\/2 + 149*p**2 + 6*p - 1. Find the first derivative of k(u) wrt u.\nAnswer: -16*u**3 + 52*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44636913?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-10)\/5)\/(-2)*7. Let q = n + -5. Suppose 0 = 2*y + 4*k - 100, k = q*y + 12 - 97. What are the prime factors of y?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 22*g**4\/9 - 8488*g**3\/9 + 211702*g**2\/9 + 4308*g = 0. What is g?\nAnswer: -2\/11, 0, 27, 359","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 28 - (22 + (11 - 22))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 57 (base 13) to base 11\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + n - 35, -4*x + 14 = -3*x + 2*n. Suppose -3*u - f = -0*u - 17, 0 = -2*f + 10. Calculate the least common multiple of x and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76934372?\nAnswer: 2, 19233593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, b: 8}. What is prob of picking 4 b?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 14, -3, 11727, 1 in descending order.\nAnswer: 11727, 14, 1, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.3168 - -5.1188. Let a = 4.8020004899 - b. What is a rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -639*n + 260*n + 154*n - 32*n + 250*n.\nAnswer: -7*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(32)*1)**2 + 4)*4.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1\/10*80\/16\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 + 0*i**2 - 3*i**2)*(-15*i**2 - i**2 + i**2).\nAnswer: 30*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 5*m**3 - 5*m**2 + 3*m - 1. Let h(s) = 18*s**3 - 14*s**2 + 11*s - 3. What is 14*b(i) - 4*h(i)?\nAnswer: -2*i**3 - 14*i**2 - 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 22 = -4*d + 5*x, 3*x = -5*d + 11. What is the second derivative of -28*i**4 - 4*i**3 + 6*i**3 + 12 + 3*i**d - 2*i - 1 wrt i?\nAnswer: -300*i**2 + 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -319 or 504?\nAnswer: -319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24040 and 423080?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of -149*z**2\/2 - 22*z + 44. Is f(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/6)\/((-25)\/375).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12.3357g to micrograms.\nAnswer: 12335700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 38*s**3 - 16*s**2 - 3*s + 19. What is the tens digit of g(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1595429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**4 + 4*f**3 - 4*f**3 + (-6 + 4 - 1)*(-f**4 + 3*f - 3*f) + 2*f**4 - 2*f**4 + 3*f**4 + 0*f**4 - f**4 - f**4 - 6*f**4 + 0*f**4 + 4*f**4.\nAnswer: 3*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-17)*2907\/(-684))\/(23\/1794)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 136\/(-102)*(-2 - -5). What is the second smallest value in 299, -5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = 38*h + 60 + 1752 + 24 for h.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c**4\/7 - 7304655*c**3\/7 + 4446509679387*c**2\/7 - 1905639700803*c + 8892975530886\/7 = 0 for c.\nAnswer: 1, 2, 1217441","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q. Let f(u) = -1755*u + 37. Let c(a) = -876*a + 20. Let s(k) = -11*c(k) + 6*f(k). Give s(b(o)).\nAnswer: 894*o + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 652 is divided by 25.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 27 = -5*s, -2*h - 4*s - s = -7. Let q be h\/(-10) - (-4)\/40. What is the second biggest value in 1\/4, q, -3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kh when two letters picked without replacement from tkkhkthtktk.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - t = -46, 36*x - 4*t - 64 = -584 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-29) + (-12 - 12047\/(-1015)). Which is the fourth biggest value? (a) 1 (b) 0.3 (c) x (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**3)\/((a*a\/a**(-1)*a)\/a))\/(a**11\/(a\/(a*a\/a**(-2\/5)*a)*a)))**(-3) assuming a is positive.\nAnswer: a**(171\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 at least as big as -5352\/1343?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**2 + 49*t + 66. Let v be u(27). Let k be (-46)\/v + 14\/6. Let c(i) = -i - 1. Let y be c(-6). Solve -5*m - 6 = -f + 5*f, -y*f + k = m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = f - 2 - 1, f - 6 = 3*g. Is 4 a factor of (1*g)\/(9\/168*-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/5920932 and -101\/342.\nAnswer: 17762796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/(-25) + ((-9230)\/250 - -37)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12295 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 0. Sort 13, q, 2 in ascending order.\nAnswer: 2, q, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21*g**4*n**2 - 105*g**4 + 3*g**2*n**2 - 2*g*n - 2*g - 5*n**2 wrt g.\nAnswer: 504*g*n**2 - 2520*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(10530\/216))\/(2\/18)?\nAnswer: -36\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w - 8*w - 2*w - 2*w.\nAnswer: -9*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3409 - -3433. Calculate the highest common factor of t and 492.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 171*u + 8. Let r be h(-1). Let c = -162 - r. Which is bigger: c or 1\/234?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from adadaadaaaa. Give prob of sequence dad.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 24702.8*0.089\nAnswer: 2198.5492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f*f*f**(1\/4)\/f)\/f)\/f)\/f)**(-32)*(f**(-3))**(-2\/105) assuming f is positive.\nAnswer: f**(1962\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*y - 134 - 113 + 218 - 2*y - 2*y**2 to b*y + k + w*y**2 and give k.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by -6?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(440) + sqrt(440) + -1*sqrt(440) + sqrt(440))\/sqrt(8) + sqrt(55) + sqrt(55) - sqrt(880)*4)\/(3*(sqrt(1100) + sqrt(1100) + -6*sqrt(1100)*-2)).\nAnswer: -sqrt(5)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -362\/3? (a) 1\/9 (b) -4 (c) 0.01 (d) -104\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p**3 + 5*p**2 - 51*p + 83. Let r be c(5). Calculate the highest common factor of 7 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/4*(-1 - -1)\/3. Let t = r - -33. What is the greatest common factor of t and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141058.\nAnswer: 2, 70529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + 11\/((-22)\/(-12)). Let s = 26 - w. Calculate the remainder when s is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5013414 by -6.\nAnswer: 835569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 257702, 515078, 772458, 1029842, 1287230, 1544622?\nAnswer: 1802018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -11*j + 22. Let t be r(8). Let q = -43 - t. Solve -q = 5*g - 2*y, -g + 5*y - y = 19 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.934815 nanometers to millimeters.\nAnswer: 0.000004934815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19018 or -19019?\nAnswer: -19018","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t + 1. Let g(a) = 0 + 3*a**2 + 4*a + 1 - 2*a**2. Let o(v) = g(v) - 3*w(v). Is 18 a factor of o(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fu when two letters picked without replacement from {u: 1, k: 4, l: 1, c: 2, f: 1}?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30 - -64. Let l = v - 16. Let x = l - 5. What is the greatest common factor of 104 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 26188518?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3146225 is divided by 1011?\nAnswer: 1004","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - 7*m**2 - 10*m - 7. Let h be 4\/12 + (-19)\/3. Let s be d(h). What is the second derivative of -11*y + s*y + 2*y**5 + 0*y**5 - 7*y wrt y?\nAnswer: 40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33)\/(-44)*(-8 + 0)\/(-72).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m**2 + 7*m - 11. Let d be 1 + -3 + 2 - -4. Let f(l) = 1 + d*l - 3 - l + l**2 - 3. Give 7*f(r) - 3*x(r).\nAnswer: r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 125818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = p - 235, 0 = 20*s - 15*s - 3*p - 255. What is the remainder when s is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -235995 or -236047?\nAnswer: -236047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -177 in 3, -0.2, 47379?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1*sqrt(10)*2 + 5*sqrt(40)\/sqrt(4))\/((sqrt(10)\/(sqrt(6)\/sqrt(3)) - (sqrt(605) + -1*sqrt(605) + sqrt(605) + sqrt(605) - sqrt(5)))*2).\nAnswer: 7*sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*m**2 + 2\/5 - 2\/5*m**3 + 2\/5*m.\nAnswer: -2*(m - 1)*(m + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 10:24 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2144437 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8866 - -8873. Solve 4*j + 9*l = w*l - 28, -j = -3*l - 7 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 15 = -0*d. Suppose -d*w = 20, 5*r = w - 5 + 19. Differentiate 0*a**r - a**2 + 1 - 2 wrt a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + 2\/(-2) + (1 - 85). Let t = 128 + y. Calculate the remainder when 128 is divided by t.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 293 - -207. Does 50 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 914284*s**2 - 6*s - 31130085?\nAnswer: 1828568*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - -5. Let k = -13 - o. Let j(a) = 2*a**2 - 5*a + 4. Let c(i) = -3*i**2 + 10*i - 9. Let q(y) = -3*c(y) - 5*j(y). Calculate q(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 4*d + 1279 - 4279, 0 = n - 4. Is d a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 296873?\nAnswer: 29, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 251\/6 + 4\/24. Suppose 4*n - 2*c = 120, n + 2*c + 2*c - 12 = 0. Calculate the highest common divisor of n and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1150 is divided by 117.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33668966?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56\/(-140)*(-2)\/10.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 270418 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30814, -30813, -30812, -30811, -30810, -30809?\nAnswer: -30808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10363 + 10366. Solve -5*x = 25, -v*j - 4*x + 7 = 24 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2. Let b(w) = 1725*w. Calculate b(a(y)).\nAnswer: 1725*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 9:43 AM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/15 - 0\/1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = 2*o + 4*c - 5, -5*o + 5*c = 50 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 4. Suppose -l*k = k - o - 16, -3*o = -12. Solve u - 13 = -2*u + 4*b, u - k = b for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7314289 is divided by 270.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -60*(-31)\/(-775)*5\/(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 110*h - 230. List the prime factors of z(5).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 7*p - 4*p)*(1414*p - 699*p - 743*p - 3).\nAnswer: -112*p**2 - 12*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0336 and -0.3?\nAnswer: -0.01008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/(0 - (-5)\/2). What is the third derivative of 3*g**2 + 95 + d*g**2 - 95 - g**3 wrt g?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*j + 14. Let c be (-18)\/(-12)*(-4)\/(-6). Let s = j - c. Solve -5 = d - s for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-19350)\/((-6)\/16000*4). What is k rounded to the nearest one million?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 18*y - 5*y**2 - 5 - 4 + 2 + 0 - y**3. Let r be h(-8). Let c = 67 - r. Calculate the greatest common divisor of c and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + 24*g**2 + 28. Let m be h(24). Let y be (-120)\/(4\/(-1)) - 2. Calculate the greatest common divisor of y and m.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 7:29 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (892*v + 716*v - 1395*v)*(-2 + 2*v**2 + 1 - 3).\nAnswer: 426*v**3 - 852*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 2187841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10486?\nAnswer: 2, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) - (-1 + (sqrt(1872) - (2 + sqrt(1872) + sqrt(1872)))) - (sqrt(1872)*1 - sqrt(1872))*4)**2.\nAnswer: 144*sqrt(13) + 7497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3297906385 to the power of 1\/2, to the nearest integer?\nAnswer: 57427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 55, 285, 851, 1921, 3663?\n\"Answer: 28*g**3 + 34*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -261 = -60*c - 586 - 875 for c.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cxtccccccx. Give prob of picking 2 x and 2 c.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) -0.2 (b) 1\/4 (c) -4 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 110d6 + 5?\nAnswer: 110db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 47 + -95. Let k be (8\/(-6))\/(4\/c). Let q = -30900 + 30972. Calculate the highest common divisor of q and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 17 (b) 2 (c) 1\/1707\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18506?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p. Let h = 1 - 3. Let t(u) be the first derivative of -3*u**2\/2 + u + 1. Calculate h*t(r) - 5*a(r).\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*m - m. Suppose -l = -f, -2*f = -m*f. What is the closest to 0 in 4, -0.2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 216\/3*16\/32. What is the greatest common divisor of g and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1560*j - 63*j - 4460*j + 11496 + 316986 for j.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*j**2 - 28*j**2 - 20*j**2 in the form s*j + p + i*j**2 and give i.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*m**4 - 2*m - 1089*m**3 + 2 - 3 + m**4 + 116*m**2 - 1092*m**3 + 2171*m**3 in the form r*m**3 + a*m**2 + d + b*m**4 + l*m and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/104*(2 + 442\/(-255))?\nAnswer: -1\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 537714 + 305486 = 527*p. Calculate the highest common factor of 180 and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50571 + 0.3.\nAnswer: 50571.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -9*x**2 + 309*x + 2001. Determine p(-6).\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/117 and -61\/91.\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by 42656\nAnswer: -3\/10664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of o**2 + 1. Let z(n) = n**2 + 4. Let j(s) = -4 - 4 - 2*s**2 - 4 + 5. Let l(c) = -4*j(c) - 7*z(c). Determine l(h(m)).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 19595 and 0.178.\nAnswer: 3487.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52490462, -104980925, -157471386, -209961845, -262452302, -314942757?\nAnswer: -367433210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 12 - 8 = 0. Suppose 5*i + 2*g - 16 = 0, 2*i - 2*g - 16 = 2*g. Which is the nearest to -2\/3? (a) o (b) i (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 950031127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -22*t. Let d(f) = -6*f - 32. Let o be d(-6). Suppose -3*s - o*u = -20, -4*u = s - u - 5. What is the remainder when a(-1) is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 5*n + 20 = -2*m, -5*m + n + 22 = 0. Suppose -m*i - 64 = -4*l + 12, 30 = -2*i + 2*l. Let o be (1 - (-28)\/i)\/(18\/15). Is o equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4222 - 7718 + 6*g - 5*g + 3*g - 6*g.\nAnswer: -2*g - 11940","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 4\/11 (c) 1 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 257 by -132266.\nAnswer: -257\/132266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.723211ng to grams.\nAnswer: 0.000000008723211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -53? (a) -2 (b) 0.6 (c) -381 (d) 1 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -31*a**2 + 7*a + 29 wrt a.\nAnswer: -62*a + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*a + 55*a - 93 = -21. Let k = -3 - -12. Let q(o) = -o**3 + 6*o**2 + 4. Let x(z) = 2*z**3 - 13*z**2 - 9. Give a*x(m) + k*q(m).\nAnswer: -m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*a**2*j**3 + 18*a**2*j**2 - 6880*a**2 + 11*a*j**3 + 9*a - 2*j**3 - 5*j**2 + 1208 wrt a.\nAnswer: -6*j**3 + 36*j**2 - 13760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (139\/3)\/((-6)\/(-54)). Let k = -246 + j. Suppose -k = -5*b + 3*a, 5*a + 10 = -0. Calculate the remainder when b is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -623.5271 rounded to one decimal place?\nAnswer: -623.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(2\/7))**(-8)\/(d**(-1))**(2\/9)*((d**(-2\/7))**(-2\/21))**8 assuming d is positive.\nAnswer: d**(-2326\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/827944 and -167\/30.\nAnswer: 12419160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 8:29 AM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11123013 + -1323202?\nAnswer: -13112221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (2*(-1)\/10)\/(24*6\/3600)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 173\/18946080 and 31\/4868090?\nAnswer: 701004960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7, y: 9}. What is prob of sequence my?\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/5 (b) -5 (c) -1\/5 (d) 137 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(152)\/(sqrt(8) - (sqrt(8) - 1*sqrt(8))) - (sqrt(19) + 0 + sqrt(19) + -4 + sqrt(19)).\nAnswer: -2*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 4 = -b, 0 = q - 4*b - 84. What is the common denominator of -83\/6 and (-4 + (-1636)\/q)*4\/18?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + 5*m**2 + 2*m + 13. Let n be b(7). Is 6 a factor of 2 - 2*(n + 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 AM and 8:09 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x + x + 129 = -72*y - 19*y + 97*y, y - 203 = 2*x for x.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {j: 3, b: 3, o: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*w**2 + 19*w**2 + 122 - 156 in the form x*w + z + o*w**2 and give z.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 782325 a multiple of 135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + 6*j**2 - 8*j - 4. Let u be o(6). Let g = u - -52. Solve 8 = -2*v - g for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5479571.\nAnswer: 163, 33617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18.0021 + -0.0021. Let q = 7\/2 + -3. Put q, l, -0.5, 7 in descending order.\nAnswer: l, 7, q, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 4. Suppose -k*h - 2*h = -5*n + 86, 4*n - 67 = 5*h. Let i = -25 + n. Is -8 at least as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 26, 32, 44, 62?\n\"Answer: 3*z**2 - 3*z + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1610074?\nAnswer: 2, 805037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m. Let s(j) be the second derivative of j**4\/12 + 6*j. Determine r(s(u)).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/13, 1, 0.1, 1.3, -5 in decreasing order.\nAnswer: 1.3, 1, 0.1, -4\/13, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l - 1. Let g be q(6). Let y(t) = t**3 + 8*t**2 + 5*t. Let b be y(g). Calculate the highest common factor of 7 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qaqa when four letters picked without replacement from {a: 1, r: 1, t: 1, q: 1, j: 2, z: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4653279?\nAnswer: 3, 683, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.6368297t?\nAnswer: 636829700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of -9\/10*g**5 + 3*g**2 - 3 + 0*g**3 + 0*g + 67\/24*g**4. Find the second derivative of x(o) wrt o.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eleven eighths of a tonne?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 s, 1 d, and 1 u when four letters picked without replacement from uidppsdh?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 2\/7 (c) -0.4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51820.16 nanograms to micrograms.\nAnswer: 51.82016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/4 of a kilometer in meters?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3*x + 31440000 = 0. What is x rounded to the nearest one hundred thousand?\nAnswer: 7900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7344229?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1025349 and 465049?\nAnswer: 5603","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35, 46, 57, 62, 55, 30, -19, -98?\nAnswer: -213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of q**4\/8 + 20*q**3\/3 - 3*q**2 + 50*q. Let g(i) = 2*i + 21. Let k(m) = 3*d(m) - 5*g(m). What is k(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = 13, 93*z + 3*g + 99 = 63*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -279588 - -25162603\/90. Let g = f + 33\/10. Let v = -4 + 6. Is g at least as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 - 3*c - 6. Let g be b(-7). Calculate the greatest common divisor of 96 and g.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*f**2 - 10*f**2 - 7*f**2 + 31*f**2 - 117*f in the form q + a*f + i*f**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-21)\/(-4) + (-10)\/40. Let m be 84\/10 - 2\/s. Put -2, m, -4 in ascending order.\nAnswer: -4, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.094 to one dp.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.155 or 5\/12?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 16) to base 5.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z + 2*z + 4*z)*(-1 + 3 - 1) + 2*z + 3*z - 3*z - 2*z + 3*z + z.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 17*g + 974. Let x be k(-57). Suppose i + 6 = -0*i. Let l = i + 10. Solve l*j - 7 + 3 = n, 5*j = -5*n + x for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -5*r - 2. Give q(5).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.65 rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 84.8903952 to one dp.\nAnswer: 84.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2917*f**3 + 2*f**2 - 2*f + 2. Let k(m) = 4255902*m**3 - 2919*m**2 + 2919*m - 2919. Determine 6*k(g) + 8757*o(g).\nAnswer: -8757*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -102 - -3?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -8*g**2 + 835*g - 714. Determine x(104).\nAnswer: -402","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.7, 5, -5, 3\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - 11*j**2 - 19*j - 7. Let o be d(-9). Let n(h) = -3*h + 19 + 28 + 0*h**2 - 44 + o*h**2. Is 3 a factor of n(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 1) + 7 + -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29627702.\nAnswer: 2, 13, 17, 3943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 5*v + 2*v - 2 + 9*v - 2. Is a(4) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 599932267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r**7*r)\/(r\/(((r\/(r\/r**(-5)))\/r)\/r)))\/((r\/(r**(-1)*r))\/r)**48*(r*r*r*r*r*r\/((r*r\/(r**(-1\/2)*r)*r)\/r))**46\/(r\/(r*r**0))**35 assuming r is positive.\nAnswer: r**209","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -102.1 + 102.5. Which is the nearest to -0.3? (a) h (b) 10 (c) -0.5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2709, -2661, -2579, -2463?\nAnswer: -2313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -165 - -170. Suppose 4*z + 31 = 11, q*z = -2*u + 29. Let p(v) = -v - 1. Let w(t) = -18*t - 27. Calculate u*p(r) - w(r).\nAnswer: -9*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.3472291 + 1.3486. Round u to four dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -14*a**2. Let h(f) = -38*f**2. Let i(p) = -3*h(p) + 8*k(p). Let x(w) = w**2. Give -i(j) + 8*x(j).\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 22, 3, 69, 1, -3 in ascending order.\nAnswer: -3, 1, 3, 11, 22, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/168 and -59\/10.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -95*i - 8923. Give r(-94).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1008.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31 (base 9) to base 12.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5*h = -4*b - 10, -4*b - 2*h - 14 = 0. Let u be -1 - b - (-1 + 41). Let l be -3 + 3 + u\/(-2). Solve -5*y - l = -4 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**2. Let g(x) = -5*x + 30. Give j(g(d)).\nAnswer: 50*d**2 - 600*d + 1800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*m = 2*g - 26*m + 130, 15 = 3*m. Sort -5, 1, g.\nAnswer: g, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 164 - 162. Solve -3*m + 2*y = -2*m - 6, -b*m - y + 2 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 42 = 8*s. Let z be ((-7)\/35)\/((-1)\/5). Let a be 124\/28 - (1 - (-11)\/(-7)). Solve s*k - a = z for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11435 is divided by 21.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -17 (b) -1.2 (c) 4\/32059\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 + 3. Suppose -y + 256 = 3*y. Let s = y - -11. What is the greatest common divisor of z and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134399 is divided by 420?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ytm when three letters picked without replacement from {t: 3, x: 1, y: 1, c: 3, m: 5, q: 2}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 6. Let y be 0 + -1 - (0 - v). Let r be y\/(4\/3*2). What is the smallest value in r, -5\/2, 0?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-611)\/33605)\/((-6)\/(-33)).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6667)\/452 - (-44)\/16.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x**(1\/3)*x)\/x**(5\/2))**(-30))**(-5\/2))**(-2\/69) assuming x is positive.\nAnswer: x**(175\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 5*l + 113785 = 0, 14*l - 24 = 10*l. What is the ten thousands digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -244 or -734\/3?\nAnswer: -244","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8087346 - -8087354.000154. Let h = f - 8. What is h rounded to five decimal places?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 13*i**2 - 412*i - 2443. Determine l(-5).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 - 20. Let a(z) = 2*z + 5. Let h be a(w). Suppose 5*d = -b + 145, -3*d - 391 - 143 = -4*b. What is the highest common divisor of h and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 346\/815, -82, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -72 - -282. Let f = -208 + u. Solve -f*p + 3*p = 3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -23 and -0.03859386.\nAnswer: 0.88765878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/i**(-3)*i)*i*i)\/i)**(28\/9)*((i\/(i**(-1\/6)\/i))\/i)**(4\/3) assuming i is positive.\nAnswer: i**(-70\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s**4 - 107 + 111 + 11*s - 5 - s**3 + 3*s**2 to i + f*s**2 + d*s**4 + t*s**3 + c*s and give c.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7002 = -371*z + 324 for z.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 21*v**3 + v**2 - v + 1. What is the least common multiple of u(1) and 14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10186 - -3584.\nAnswer: 13770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - m + 0)*(-4 - 3 + 30166*m + 7274*m - 3 + 10).\nAnswer: -37440*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 113104008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -3 (b) 3 (c) -6 (d) -5 (e) 2\/19 (f) -1\/63 (g) -832\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/627192 and 19\/487816.\nAnswer: 4390344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 - 8) + 23 + -31 - -19?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9\/28 in 0, 4, 0.15, 0.2, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0*(-2)\/((0 - 4)\/(-2)). What is the second derivative of d*j**2 - 4*j**2 + 15*j**2 + 4*j**2 - 17*j wrt j?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -380472, -760970, -1141468, -1521966?\nAnswer: -1902464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 18 = 3*c, -216*c + 215*c + 26 = -5*l for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -8477, -16959, -25441, -33923?\n\"Answer: -8482*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**4\/7 + 3*g**3\/7.\nAnswer: 3*g**3*(g + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 divided by 1?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3324 divided by -7\nAnswer: -3324\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 576787.\nAnswer: 576787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 4*s**2 + 0*s**2 - 2*s**2. Let t(b) be the third derivative of 0*b - 1\/8*b**4 + 2*b**2 + 0 + 0*b**3. What is r(t(h))?\nAnswer: 18*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 2*k + 9 = 0, 31*k - 26*k - 31 = -4*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 7 - (5 + (-11 - -7) + -21)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5434023 and 558.\nAnswer: 5434581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 0.08, 3.\nAnswer: 0.08, 2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*z = -95*z - 36 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vru when three letters picked without replacement from {u: 8, r: 2, v: 6, m: 2}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -142320 (base 8) to base 6.\nAnswer: -1025132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3}. What is prob of sequence xx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 1 - (-1)\/1. Suppose -h*m - 2*m - 12 = 0. Let n = m - -9. Solve n*l - 3*l - 1 = 2*v, -l - 3*v - 18 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 299 - 299. Let m = -61 + 63.9. Is m at most as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 198.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 438038072?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1411 + -1407. Which is smaller: -0.049 or h?\nAnswer: -0.049","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001011 + 1001110101110111?\nAnswer: 1001110011101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*p = -295*p + 710*p + 3587 + 3771 for p.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + 12*t**2 + 3*t. Let n be s(-9). Let w = 8 + n. Calculate the highest common divisor of w and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 45544377 + -23?\nAnswer: 45544354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -299\/4 or -75?\nAnswer: -299\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + f - 155 = -0*f, -3*x + 125 = -f. Suppose 4*l - x = 16. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - -10. Let y = -14.0012 + j. Let a = y + -0.003. What is a rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 6*j - 24. Let l(g) = 4*g - 16. Let p be (-1)\/2*-10*1. Suppose 6*k + 7 = 53 - 94. Determine k*l(c) + p*s(c).\nAnswer: -2*c + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 1342*w - 21. Let x(g) = 1050790*g - 16440. Give 5480*k(n) - 7*x(n).\nAnswer: -1370*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a2b0 (base 16) to base 3.\nAnswer: 22202221001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -7*d + 6*d + v - 6, v - 6 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1617120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 2\/11, 1, -0.041?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - 12*c**2 - 13*c - 22. Give k(-11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 15*b**3 - 79*b**2 - 14*b - 5. Let q(h) = -32*h**3 + 165*h**2 + 30*h + 11. Determine -6*q(d) - 13*y(d).\nAnswer: -3*d**3 + 37*d**2 + 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 2*g - f - 24, -3*g + 4*f = -31. Suppose 0*q - 30 = -g*q. Solve -h + 11 = 2*j, -q*j + 4*j = -3*h + 1 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 5:46 PM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -11*s + 40. Let h be v(4). Let o(w) = -5*w**2 + 3*w - 5. Let n(f) = 2*f**2 - f + 2. Calculate h*o(q) - 11*n(q).\nAnswer: -2*q**2 - q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + -1dc362d?\nAnswer: -1dc362e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5525 and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 40 = 5*f, 8 = -c + 13. Solve 0 = -2*n - 4*i - 12, 0*i + 4 = n - f*i for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -8. Let r be (j - 3) + (1 - -2). Let m(u) = -u - 2*u**2 - 3*u**r + 2*u**3 - 2*u**2 + 1. Determine m(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -7 + (99 - 88)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/3)\/2*(-133)\/(26068\/(-504))?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1029067.\nAnswer: 13, 79159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 0 = 21. Let x = o + 11. Let z = x + -4. Does 0.1 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 50*b - 47*b - 48966. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -461*a**2 + 52*a. Let t(r) = 115*r**2 - 12*r. Give 4*j(f) + 18*t(f).\nAnswer: 226*f**2 - 8*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 6) to base 4.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.04892 + -2.06192. What is w rounded to zero dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/5 of a decade in months?\nAnswer: 1536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23)\/(1380\/(-18))*((-44)\/(-825))\/1.\nAnswer: 2\/125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -a**3*c**2*v - a**3*c**2 + 4*a**2*c**3 - 5353*a**2*c - 580809*c**3*v + 7*c wrt v?\nAnswer: -a**3*c**2 - 580809*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15316, -15320, -15326, -15334, -15344, -15356, -15370?\nAnswer: -15386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 + 1 + 257*r**3 - 23.\nAnswer: 257*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 3*i + i - 12 = 0, 24 = 4*d + 4*i. Solve -3*m = 3*h + 9, 0 = -h + 2*m - 0 - d for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -236.09299 and 0.5.\nAnswer: -118.046495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 199\/91 - 39\/((-3276)\/(-48))\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -1\/100 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + 14*d - 14. Let m be j(12). Suppose 12*y = m*y. Suppose 3*z - 5*r = -r + 338, y = z + 2*r - 106. Is z a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -79 (b) 2 (c) 0 (d) -68 (e) -1 (f) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0991 - -0.094. Round m to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (5 - -2 - 0) + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 - 14. Let h be y(-7). Let x = h + -29. Is (-4)\/(-24) - (-1601)\/x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22*b**2 + b**5 - 3*b**4 + 3*b**4 - 23*b**5 wrt b?\nAnswer: -1320*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 5*k + 10. Let j be g(-1). Suppose 5*x + 0*h - 28 = -3*h, j*x - 5*h - 20 = 0. Solve 11 = -x*r + 4*v, -4*v + v = 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21160032 is divided by 16165.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 0 - (5 - (-3 + 5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 759165250 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: Let a be 5\/10 + 5\/(-2). Let w be ((-2)\/6)\/(a\/(-6)). Let r(z) = -4*z - 2. Let g be r(w). Sort g, -3, 1.\nAnswer: -3, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -14*a**3 - 12*a**2 + 4*a + 67. Is h(-20) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 0*f + 222 + 2*f - 66 - 78 - 77. Let l be ((0 - 0) + 1)\/(-1). Determine r(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4811017km in micrometers?\nAnswer: 481101700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000010588 rounded to six decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2 = -8. Let x be (4 - 0)*1\/m. Let b be 26\/4 - (-1)\/x. What is the highest common divisor of b and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -56505*b + 2. Let z(h) = h. Let s(y) = -m(y) - 6*z(y). Let f be s(-2). What is f rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34693976?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of n**3*p**2 - 387*n**3*p + 2*n**3 + 511*n*p**2 + n - 2*p**2 wrt p.\nAnswer: 2*n**3 + 1022*n - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + 68*m + 195. Let o be d(70). Solve 38*f - 27*f + o = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95 - ((-60710)\/(-325) + -87).\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 + 192. Suppose 5*f - u = 35. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 + 3)\/(-4 - -5). Suppose v = 10*z + 10*z - 4140. Is z a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31895.046 - -31895. Sort d, 1, -3\/5.\nAnswer: -3\/5, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 355757 and 62607.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 2) to base 3\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, -996 in descending order.\nAnswer: -1, -5, -996","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - -a40172?\nAnswer: a40175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 1432 = -5*u + 1897, 4*f + 4*u + 6728 = 0. Calculate the smallest common multiple of f\/(-13) - (-4 + 1) and 22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + 3*s + 5. Let q be t(4). Let j = -4 + q. Let o be (4\/j)\/(-4)*-1. Which is smaller: o or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -3*o - 3*o**2 + 5*o**2 - o**2 - o. Let x(g) = g. Give -h(v) - 2*x(v).\nAnswer: -v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 AM and 6:12 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 + 80*d - 1164. Determine t(40).\nAnswer: 436","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence my when two letters picked without replacement from myyy.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -993184 bigger than 9.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3 = -c, 6 = 3*f + 3*c - 3. Suppose -f*x = 3*x + 5*h - 25, x - 35 = 5*h. Does 5 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -12, -2\/25, -1, 1, -0.2 in increasing order.\nAnswer: -12, -2, -1, -0.2, -2\/25, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - 13*g**2 - 8*g + 32. What is p(-13)?\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1015, -1123, -1191, -1213, -1183, -1095, -943?\n\"Answer: h**3 + 14*h**2 - 157*h - 873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*82*2\/(-6). Let g = -40 + 44. Suppose -5*i - p = -3*o, 4*o = -g*i + 138 - 50. Is 12 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -375377 divided by 311\nAnswer: -1207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 160 and 20132260?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 + 34 + -27 - -31 - (-26 + 2).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/130 and -95\/2?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 94131260 + 1?\nAnswer: 94131261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -26 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4830 and 98?\nAnswer: 33810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-9))\/(1*4\/(-30))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14\/11 - 31\/33. Do 0.2 and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-16)\/6)\/((-6)\/18). Suppose 14 = -a*m + 22. Let w(i) = 4*i + 1. Let o(f) = -f + 6. Let p(h) = 1. Let y(n) = o(n) - 6*p(n). Give m*w(q) + 2*y(q).\nAnswer: 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3663867533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 374 - 376. Suppose -3*t + 4 = 5*w - 9, -4*t - 4 = -4*w. Put -0.4, w, v in decreasing order.\nAnswer: w, -0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**5)\/o**(2\/9)*o**(-4\/7)*o**(-3\/2))**(7\/5) assuming o is positive.\nAnswer: o**(467\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4e899 - 8?\nAnswer: -4e8a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 77 + -67. Suppose 3*a - 2*t - 10 = -2*a, 2*t = -x. Suppose -2*z + 18 = -a. Is z a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - 5*w**2 - 2*w - 28. Calculate y(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4021210 (base 6) in base 15?\nAnswer: -3b240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -7*s**2 + 6. Let v(a) = -a**2 + 1. Let i(q) = 6*v(q) - w(q). Let z(r) = -24*r**2. What is i(z(h))?\nAnswer: 576*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10175254 by -31.\nAnswer: 328234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-74)\/(-14) - 2\/7. Let n = -139.8 - -140. Let w(i) = -i + 6. Let o be w(6). Which is the nearest to n? (a) o (b) -0.1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1250*a**3 + 16*a**2 - 5 wrt a?\nAnswer: -7500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 145*a + 3792. Let x = 340 - 189. What is the remainder when x is divided by p(-26)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + 12*r - 4. Let w be g(-13). Suppose -2*a - z = -w, 21 = 3*a + 2*a + 2*z. Suppose n = 4 - a. Are -2 and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 109*r**3 - 175*r.\nAnswer: 654*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 smaller than 147833?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of -j**5\/60 - 5*j**4\/8 + 16*j**3 - 39*j**2. What is the least common multiple of 18 and w(4)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 41*v**2 + 2*v + 4. Let w be p(-2). Calculate the greatest common divisor of 123 and w.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 3*p. Let o(g) = 416*g**2 - 9*g + 223. Let h(y) = 4*o(y) - 12*w(y). Find the first derivative of h(i) wrt i.\nAnswer: 3304*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(288)*2*-4 - sqrt(288).\nAnswer: -108*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20515 is divided by 2827.\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -13*g**2 - 39*g + 2. Let s be d(-3). Let x(u) = 3*u**2 + 2*u - 3. Let f(l) = l**3 + 2*l**2 + l - 2. Give s*x(t) - 3*f(t).\nAnswer: -3*t**3 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35 + -27. Let j(g) = g**3 - 7*g**2 - 5*g - 11. Let o be j(p). Suppose 5*s = 5, 2*n - 59 = -2*s + o. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n be (-126)\/(-105) + (-28)\/(-10). Let w be (-2)\/3*(-4 - -1). Find the third derivative of -n*t**2 - 16*t**6 - 3*t**6 - 13*t**w wrt t.\nAnswer: -2280*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14845 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of n**2 + 4328. Let s be 5\/(-10)*0\/1. Let h(r) = 2 + s - 13*r - 2. What is h(t(x))?\nAnswer: -26*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/7))**(-2\/53)\/(((v\/v**(5\/2))\/v)\/v**1)*(v\/v**(2\/7))**49\/(((v\/v**(-1))\/v)\/v)**(8\/13) assuming v is positive.\nAnswer: v**(28559\/742)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13276.83 + -6.\nAnswer: -13282.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 9 = -2*d. Solve -3*h = 6*n - d*n, 2*h - 3*n = 25 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24687 = 311*n - 324*n. What are the prime factors of n?\nAnswer: 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 2, 7, 1\/9, -124, -0.4, 3\/7, -2?\nAnswer: -124","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 7*g - 15. Suppose 0*o + 11 = o - 2*m, 33 = 3*o + 5*m. Calculate the remainder when z(o) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 36 = -6. Suppose 3 = b - 4*k, 3*k - 2*k = -5*b + z. Find the third derivative of -2*d**5 - 2*d**2 + b*d**5 + d - d wrt d.\nAnswer: 60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 68847*l + 68634*l - 137755*l to the form x + y*l and give y.\nAnswer: -274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -63725612869 minus -0.1105?\nAnswer: -63725612868.8895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -2, 0.055, 0, 0.1 in ascending order.\nAnswer: -2, 0, 0.055, 0.1, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00679818 to five decimal places.\nAnswer: -0.0068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -101623672 divided by 2.\nAnswer: -50811836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of -g**3\/3 + 3*g**2\/2 + g. Let o = 5 + -4. Suppose -2*v + v - 1 = 0, 2*v = -q + o. Calculate t(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -68.1 + 70. Let v = 1.9 - s. Which is the smallest value? (a) 0.1 (b) v (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-4))\/u**3*u**1\/u**(-4\/5))\/((u*u\/u**(1\/2)*u\/(u*u\/(u*u**(1\/6))*u*u))\/(u**1)**(-30)) assuming u is positive.\nAnswer: u**(-508\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of -2*r**5\/5 - 2*r**2 + 1. Find the second derivative of o(j) wrt j.\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 plus -4717?\nAnswer: -4645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 7*c. Suppose -5*i + 8 + 7 = c, -3*a = -4*i - 39. Suppose 2*n = n + a. Does 10 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of -d**4\/6 + 8*d - 92. Let i(c) be the first derivative of f(c). Let z(y) = -101*y. Calculate z(i(h)).\nAnswer: 202*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of 2*z**4\/3 - 7*z**3\/6 + 9*z**2\/2 + 942*z + 10. Let i(a) = -4*a**2 + 3*a - 4. Let v = -8 + 3. Calculate v*i(c) - 2*q(c).\nAnswer: 4*c**2 - c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 659*a - 658*a - 8 = 0, 3*a = -4*w + 36. Solve w*p + 11 = 5*o, -4*o + 8 = -35*p + 33*p for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -12*f + 4. Sort 805, f, -0.5 in increasing order.\nAnswer: -0.5, f, 805","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3*f + 0*f - 2*f)*(-16 + 56*f - 25 - 57*f).\nAnswer: -f**2 - 43*f - 82","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1225 - 497. Calculate the smallest common multiple of r and 273.\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1199*l**4 - l + 2400*l**4 + l**3 + 7 - 1203*l**4 + l**2 + 0*l**2 to the form x*l**2 + w*l**4 + i*l + g + c*l**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.20684 rounded to 1 dp?\nAnswer: -39.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 9.2, -2, -3, 12 in decreasing order.\nAnswer: 12, 9.2, 4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 104\/364*-144 - ((-12)\/28)\/3.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2 + 6*d + 4.\nAnswer: 2*(d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30 + 0. What is the third derivative of -9*q**4 - 16*q + 16*q - f*q**2 + 13*q**2 wrt q?\nAnswer: -216*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 120 = -2*v + 2*a, -360 = -3*v + 2*a. Suppose 4*z - v = -0*z. Is 10 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of -l**5\/15 + l**4\/6 + 2*l**3\/3 - 2*l**2 + 19. Let v be x(2). Which is smaller: 2 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 229*c + 199*c + 23968 for c.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than -416595462?\nAnswer: -416595466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26533 - 2063. What is the hundreds digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-5 + sqrt(3)*1 - sqrt(27)\/(sqrt(72)\/sqrt(8))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 - 38. Solve z + 0*z + 3 = k for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -742.9996545 + 743. What is g rounded to 5 dps?\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*v = -37*v - 15*s - 151, -2*v = 4*s - 18 for v.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 152.3808cm to meters.\nAnswer: 1.523808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243)*5 + -1)**2 + 5.\nAnswer: -90*sqrt(3) + 6081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 5*b = 106, 0 = -2*p + 5*b - 28 + 86. Calculate the greatest common divisor of 48 and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of g**5\/20 - g**4\/2 + 11*g**3\/6 - 14*g**2 + 35*g. What is the tens digit of r(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17438\/37 or 471?\nAnswer: 471","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of -p**4\/4 - p**3\/3 + p**2\/2 - 3*p - 8. Let s be i(-3). Solve -2*y - s = 2*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1519 - -4458. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n**(1\/11))\/n**(4\/3))**(-22\/3)*n*n**(6\/11)*(n*n**(2\/5)\/n*n)\/n*n**(-1)*n**0\/n assuming n is positive.\nAnswer: n**(-2777\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 21716 = -4*b, -3*b - 10*f + 6*f = -16301. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = 3*t - 28, 5*s + t = 6*s + 8 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 6, k: 6, g: 3}. Give prob of sequence kdk.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2991572069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.02 + 0.02. Let k = 1.8 + z. Let r be 6\/57 + (-276)\/456. What is the nearest to r in 1, 5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1))**(-1)*(v*v*v**(-2\/5)*v)**(-2\/47))**(-40) assuming v is positive.\nAnswer: v**(-1672\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -4*w**2 + 16*w - 17. Let z(r) = -6*r**2 + 24*r - 25. Let h(x) = -7*d(x) + 5*z(x). Factor h(s).\nAnswer: -2*(s - 3)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/3)\/(s\/s**12))**49 assuming s is positive.\nAnswer: s**(1715\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -282\/13 smaller than -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35 + 37. Find the first derivative of 8*o**2 - 3*o**i + 28*o**3 - 17 - 5*o**2 wrt o.\nAnswer: 84*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -32, -2, 68, 196, 400?\n\"Answer: 3*z**3 + 2*z**2 + 3*z - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 112*c - 202. Is 18 a factor of v(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 v when four letters picked without replacement from vccvcvcccvcv.\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/60*6*12\/4?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-seven quarters of a gram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 78257290 to the power of 1\/2, to the nearest integer?\nAnswer: 8846","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -6, 3\/5, 0.1, 3, 5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(104) + sqrt(104))*3*1)\/(-2*-2*sqrt(72)) + -2.\nAnswer: -2 + sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 4 = 4*v. Let u be 4\/(-6) + 0 + v. Is 0 bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11588 divided by -11588\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 8694?\nAnswer: 8694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1517 and 185.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -983, -1966, -2949, -3932, -4915, -5898?\n\"Answer: -983*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.67 - -0.37. Let z = -10 - -3. Let p = g - z. Sort 1\/8, -3, p in ascending order.\nAnswer: -3, p, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3*f**2 - 39*f - 27. What is i(-13)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*w**3 - 17*w**3 + 2*w**2 - 37*w**3.\nAnswer: -106*w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*z - 3)*(12 - 18 - 17 - z) - z**2 + 9 - 10 + 3*z + 7*z.\nAnswer: -3*z**2 - 36*z - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 127232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence odxu when four letters picked without replacement from xudyuoyxxxud?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 2\/3 (c) -305\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -22085324*z**2 + 149779457 wrt z.\nAnswer: -44170648*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**2 + 5*o + 4. Let l be 3*-1*32\/(-12). Suppose l*m + 10 = 6*m. Does 17 divide z(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -71374*l**2 + 1143*l + 1143. Let j(v) = 125*v**2 - 2*v - 2. What is -2*a(t) - 1143*j(t)?\nAnswer: -127*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + m = 7 - 3, -16 = 3*c - 4*m for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 15*a**3 - 7*a**2 + 7*a + 7. Let r(j) = 8*j**3 - 3*j**2 + 3*j + 3. Calculate 3*g(n) - 7*r(n).\nAnswer: -11*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90, -185, -280, -375?\nAnswer: -470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 349340*a = 349350*a + 80, 0 = -4*w + a - 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.14507 - -152964.20365.\nAnswer: 152964.05858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -4, 39, 0, 58.\nAnswer: -9, -4, 0, 39, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 8 + 1. Let d be 1\/(18\/(-2298)) + 4 + (-96)\/18. Which is the third smallest value? (a) d (b) f (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-3)*(-5)\/10*3\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2560?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.24 - -209.16. Let p = 205 - a. What is the closest to 1 in 3, 0, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 7*u + 18. Let g(n) = -124*n - 123*n + 252*n + 2. Determine g(u).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 6*n**3 + 3*n + 4. Let a(s) be the second derivative of 17*s**5\/20 + 3*s**3\/2 + 11*s**2\/2 - 615*s. Give 4*a(t) - 11*j(t).\nAnswer: 2*t**3 + 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 27967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -42*b*d**2*h*t + 2*b*d**2*t + 2*b*d*h**2*t - 100*b*t + d**2*t - h**2 wrt h?\nAnswer: -42*b*d**2*t + 4*b*d*h*t - 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -904.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 41 = -6. Let f = 7 + -13. Let a = 5 - f. Calculate the remainder when a is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1091983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -57*l - 8486 + 8771 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p**2 + 95*p - 35. Let l be t(-32). Let q(i) = 12*i**2 - 10*i - 43. What is the tens digit of q(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -56, -99, -224, -473, -888?\n\"Answer: -7*h**3 + h**2 + 3*h - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -175, -603, -1727, -3925, -7575, -13055, -20743, -31017?\n\"Answer: -63*f**3 + 30*f**2 - 77*f - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*j**4 - 4*j**4 - 12901*j**2 + 12834*j**2 + 61*j wrt j.\nAnswer: 12*j**2 - 134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*j + 160 + 197 + 3 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 133 + (-191 - -126).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/7 + 26\/(-7))\/1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-5 - 287\/(-21))\/(4\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -811, 0.2, 3\/14 in descending order.\nAnswer: 3, 3\/14, 0.2, -811","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 11:30 PM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*1 - (-6 + (13 - 10)). List the prime factors of 28 - r - (4 + (-2)\/2).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27204367 (base 8) in base 7?\nAnswer: -102552633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 divided by -22863.\nAnswer: 14\/22863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**2 + 820*r - 17200 = 0. Calculate r.\nAnswer: -430, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -187 - -197 - (2 - (-22 - 0))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 26\/(-8) + (-14)\/(98\/(-21)). Which is smaller: q or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - -3. Let r(w) = w**2 + 5*w - 6. Suppose -5*v - 11 - 25 = 2*s, 0 = 5*v - 5*s + 15. Let x be r(v). Solve 0*q - 2*q - g = x for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*i - 23306 + 23312. Which is the closest to 1? (a) -0.56 (b) i (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kklllkkllpk. Give prob of picking 1 l, 1 k, and 1 p.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 78 = 18. Suppose -q = -2*u - 2. Suppose f - 20 = u*f. What is the nearest to -1 in 4, f, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of -541*s**6\/120 - s**5\/30 - 5*s**4\/24 - 320*s**3\/3 - 5*s**2 + 97*s + 2. Find the second derivative of u(f) wrt f.\nAnswer: -3246*f - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*j, -2*j + 0 = -4*k + 18. Let i(x) = -x**3 + 4*x**2 - 5*x + 2. Calculate i(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from sttyyeyshtteyeeth.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30 + -11?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010.884 rounded to the nearest integer?\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 AM and 8:47 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of p**7\/70 + p**6\/20 + 10*p**3\/3 - 91*p**2. What is the derivative of l(j) wrt j?\nAnswer: 12*j**3 + 18*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4*d - 1840 = -2*t, -2*t - d + 923 = 0. Suppose 2*x - t = -z, 485 + 224 = 3*x + 5*z. Is x a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -16*1 + 60766 + 50. What is l rounded to the nearest one thousand?\nAnswer: 61000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (-1 - -2)) + -3 + 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 2*(3 - 2132\/(-8))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 107*j**2 + j + 1 with respect to j.\nAnswer: 214*j + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -268, -1027, -2290, -4063, -6352, -9163, -12502?\n\"Answer: -q**3 - 246*q**2 - 14*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -524*l + 29*l + 6269*l.\nAnswer: 5774*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, x: 6}. Give prob of picking 3 x.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 6874 and 48127\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 u when four letters picked without replacement from {z: 3, u: 7}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2554, -20152, -67724, -160192, -312478, -539504, -856192, -1277464?\nAnswer: -1818242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (85870 + 18*t - 85870)*(-2 + 4 + 1) as v + l*t and give l.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 22 = -26. Let s(x) = -x**3 - 6*x**2 + 7*x. Let c be s(-7). Let u be 40 + (-2 - (-2 - c)). Calculate the highest common divisor of h and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1260, -1259, -1258?\nAnswer: -1257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 501880319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 8*d**4 - 1 + 2*d**2 - 5*d**4 - 2*d**3 - 2*d + 2 to the form x + k*d**2 + h*d**4 + f*d + i*d**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p - 2*g + 12, 33*g - 12 = 30*g for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 6031?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/6591 - -120847\/39546. Calculate the common denominator of 21\/20 and j.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(160)\/sqrt(16))\/((3*sqrt(96) - sqrt(96))\/sqrt(12)))**2.\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -30270, -30207, -30078, -29883, -29622, -29295?\n\"Answer: 33*g**2 - 36*g - 30267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 31590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of -17*m**5\/60 + 2*m**3\/3 - 20*m**2. Differentiate x(p) wrt p.\nAnswer: -34*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18*w**4 + 277*w**3 + 26252.\nAnswer: 72*w**3 + 831*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 53 - 35. Is 5 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -10927439\nAnswer: 2\/10927439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -38\/2061 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + j**3 + 2*j**2 - 2 + 1 in the form x + l*j**3 + f*j + p*j**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63 is divided by 19.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-1 + sqrt(153))*5 + 5*(sqrt(153) + 0))**2.\nAnswer: -91950 + 1800*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -924000 to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of 0*d**3 - 127*d + 0 + 0*d**2 - 1\/12*d**4. Let g(c) = 556*c. Determine g(o(l)).\nAnswer: -556*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146 = -129*f + 111 + 1. Let j(i) = -4*i + 2. Suppose -r = -6*r + 10. Let m be j(r). Sort f, m, -3 in decreasing order.\nAnswer: f, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198267 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 - (4876\/(-230))\/(24\/(-30)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -18, -32, -56, -96, -158, -248, -372, -536?\n\"Answer: -u**3 + u**2 - 10*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l + 21. Let u be m(-6). Let w be (-86)\/(-12) + u\/(-54). Suppose -114000 = 10*k - w*k. What is k rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 11:53 AM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 y when three letters picked without replacement from yuuwuuyuyyuyyyuyuby?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.08 and 55?\nAnswer: -4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a tonne in grams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 669 - -29?\nAnswer: 695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y - 1. Suppose 3*o + o = -8. What is the units digit of k(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.74 - 17.26. What is the closest to -0.1 in -3, j, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2 (b) 924 (c) -0.4 (d) -47\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 + -1 + -12 - (0 - -4).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -7. Let w(i) = -i**3 + 10*i**2 - 6*i - 10. Suppose 4*k = -k - 5*h + 70, -13 = -2*k + h. Let z be w(k). Solve 2*x - r*q = 3*x - z, 3 = q for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence taag when four letters picked without replacement from bgdbddgbbabatbag.\nAnswer: 3\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 + 4*d**2 - 8)*(-d - 2*d + 0*d - 2) as n*d**2 + p + f*d + v*d**3 and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.08 + -4.92. Let r = 0.06 + -8.06. Let i = 10 + r. What is the third biggest value in 0.3, g, i?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9.3439 and -25?\nAnswer: -233.5975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/15 + (-28)\/(-15). Let h(y) be the third derivative of 0*y**3 - 1\/135*y**5 + 0 + 0*y**4 - 1\/540*y**6 + 0*y + g*y**2. Factor h(s).\nAnswer: -2*s**2*(s + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1488 is divided by 22?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 229045807?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 48852178.2 minutes in weeks?\nAnswer: 4846.44625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 45.70658 kilograms?\nAnswer: 45706580000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -644 - -1108. What are the prime factors of z?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 1006*z**2. Let k(j) = 5*j**2. What is k(p(d))?\nAnswer: 5060180*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 829483639?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 3*p**3 - 4*p**2 + 3*p - 1. Suppose -5*f - 10 = -5*n, 2*n - 3*f = 10 - 6. Determine b(n).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -171 bigger than -171?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -466 + 483. Suppose -2*z = 3*u - 17, -o*z + 19*z - 4*u = -4. Factor 0 - 2\/7*t + 2\/7*t**3 - 2\/7*t**z + 2\/7*t**2.\nAnswer: -2*t*(t - 1)**2*(t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (-3 + -9 - -16) - -14.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 12990, 13762, 14536, 15312, 16090, 16870, 17652?\n\"Answer: c**2 + 769*c + 12220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 - z + 3. Let s be q(-4). Let r(x) = -x**3 - 8*x**2 + 8*x + 5. Let w be r(s). What are the prime factors of -1 - ((-1)\/(-1) - w)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-834)\/(-6811))\/(90\/(-45)).\nAnswer: -3\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 2 + (-4 + (1*sqrt(605) + sqrt(605) - sqrt(605) - 6*(sqrt(5) + sqrt(5)*-1 - sqrt(5))))**2 + 0.\nAnswer: -136*sqrt(5) + 1458","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 204248?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1945901426 to 5 decimal places.\nAnswer: -0.19459","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10\/9, 1.3, -0.2 in decreasing order.\nAnswer: 1.3, 10\/9, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 36692063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -91*t - 1100. What is x(-12)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11032031121120 + 0?\nAnswer: 11032031121120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 585, -2, 0.066, -1\/4?\nAnswer: 585","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t**3 - 1584028971*t + 1584028971*t.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 13*u**2 - 26*u - 12. Determine s(9).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3001732726 to the nearest integer?\nAnswer: 1443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -124, 4, 1, -1 in descending order.\nAnswer: 4, 1, -1, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -11333541 smaller than -11333535?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 25036\/(-484)*1 + 49\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/32 and -85*(55\/(-968))\/5.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - 0)\/(2 - (-184)\/(-88)). Solve -l = 3, -3*z - 2*l - 2 = -p for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*(4*m + 5 - 5 + (0 - 3 + 5)*(-6*m - 6*m + 3*m))*(-15*m + 9*m - 26*m) + (0 - 5 + 4)*(3*m**2 - 3*m**2 + 3*m**2) + 0*m**2 - 2*m**2 + 4*m**2.\nAnswer: -897*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 8 = 0, 4*j + 62*k = 61*k + 21 - 3 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of -17*h**7\/105 - 37*h**4\/24 + 19*h**2. Find the second derivative of z(s) wrt s.\nAnswer: -408*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 - -1 - (33 - 0 - (38 + -18))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 0.1, 0, 2\/119, -2\/13?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, 17, 5, -2040 in increasing order.\nAnswer: -2040, 0, 1, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, m: 3, p: 2, x: 1, a: 3, g: 1}. What is prob of sequence pgm?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8905 by -5.\nAnswer: -1781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-9)\/r)\/r**10)\/(r*r\/((r*r**1)\/r)*r*r*r*r*r*r**(-10)*r*r) assuming r is positive.\nAnswer: r**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 734732?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of f**4\/4 - 16*f**3\/3 + 15*f**2 - 19*f + 219. Let r be m(14). Solve -r*d = 10 - 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1478*h**2 + 1483*h**2 - 2975*h**2.\nAnswer: -14*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2\/6 + 4240*w - 5393280.\nAnswer: -5*(w - 2544)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 715354469 to the nearest integer?\nAnswer: 26746","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (122 - 113) + (1 - 6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -63 - 52 - 55 + 235 + 32*i - 59 to l + p*i and give p.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*v)*(-1 + 3 - 3)*(-4 + 4 + 2*v)*(3*v - 3*v + v).\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of 31*y**3\/3 + 3*y**2\/2 + 2*y - 4. Suppose p + 2 = -p. Let q be s(p). Round q to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 90149977?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 658 and 8.\nAnswer: 2632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 12*m**2 - 10*m - 14. Let b be q(11). Let g be 2*1 - (7 + -1). Sort g, b, -1.\nAnswer: g, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-4) + -1 + 0. Suppose -3*u + 5*p = -13, -10*u = -12*u - p. Sort -33, u, -5, r in increasing order.\nAnswer: -33, -5, r, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 55 and (-6 - 0)*48\/(-36)?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/1968 and 41\/1320.\nAnswer: 108240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6628 - 11858 - 25213 + j**2 + 3*j**2.\nAnswer: 4*j**2 - 43699","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 - r**2 + r. Suppose -2 = -2*p + 3*p. Let a(y) = 3*y**3 - 9*y**2 + 9*y - 3. Let s(g) = p*h(g) + a(g). Calculate s(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 38 = 6*j - 2*h, 3*h = -15. Calculate the least common multiple of 24 and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c**2 + 192*c - 3592. Calculate i(69).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 9*o**2 + o + 5. What is the common denominator of s(9) and -37\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75214566 to the power of 1\/2, to the nearest integer?\nAnswer: 8673","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**2 - 7*d - 6. Let i be (-4 - (-49)\/14) + (-2)\/4. Let f be y(i). Solve -f*v + 4 - 4 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (75\/2)\/5*(-9)\/90\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + 0.008820726387.\nAnswer: 25.008820726387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 275753 and 988482?\nAnswer: 881","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -130, -264, -400, -538?\n\"Answer: -q**2 - 131*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1084910235 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = q - 5956, 4*q = 2*d + 2*d - 4760. Suppose -1177 + d = -2*n. Let c(t) = -t**2 - 4*t + 15. Determine c(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13150 = -680*m - 1810 for m.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 14*v**3 + 88*v**2 - 48*v - 28. Let c(z) = -7*z**3 - 44*z**2 + 25*z + 14. Let o(r) = 13*c(r) + 6*s(r). Determine h, given that o(h) = 0.\nAnswer: -7, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i + 3*v - 7, -v = 2*i - 3 - 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 - (26 + 7) - -29?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17814*h + 8912*h + 8732*h.\nAnswer: -170*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/2331 (b) -1 (c) -1\/6 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**9\/t**(-2\/5))**0 assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - k = k + 97, -3*u = -3*k - 60. Let h be (4\/3)\/((16\/339)\/8). Suppose h + u = 5*b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*g**2 - 6*g**2 - g**4 - 3*g**2)*(-221 - 280 + 215 - 398).\nAnswer: 684*g**4 - 2052*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-4)\/22 - (-4459)\/(-2002) and 91\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (5 - 3) - -15.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*s = -363*s - 6080 - 8050 for s.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -y + 3*q, 5*q - 10 = -2*y + 7*q. Let s = 19 + -9. Suppose -s*b = -13*b + y. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 5 - 8*d - 3 - 4.\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 AM and 9:16 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4\/7, 2, -0.11, -1.549, 2\/7?\nAnswer: -1.549","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 281219 is divided by 13361?\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 389 a factor of 6170184913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 PM and 12:37 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/(-3))\/((-1)\/3). Let k be 141377\/(-3)*(0 - c\/29). Let n = k + 1625. Which is smaller: 0 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 23 (b) 3\/5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 102\/5, 5, -2\/35?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of -a**5\/20 + 26*a**2. Let s(d) = d**2. Give n(s(l)).\nAnswer: -3*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1440 and 193004496?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 4 - 4*l - 4 + 4*l**3 - l**2 to o*l + t*l**2 + h + k*l**3 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1529 + -4064?\nAnswer: -2535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -18*s + 2. Suppose g + 8 = -g. Is z(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + 1)*2 + (2 + (sqrt(11) + sqrt(22)\/sqrt(2) - sqrt(11)) - sqrt(11)) + sqrt(275) + 0 + -1 + sqrt(275))**2.\nAnswer: 72*sqrt(11) + 1593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m + 54. Give r(-18).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -656*l**2 + 328*l**2 + 328*l**2 - l**3.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 - k**2 - k - 1. Let x(o) = -4*o**3 - o**2 + 3*o + 6. Calculate -3*s(d) - x(d).\nAnswer: d**3 + 4*d**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g**2 - 15*g - 10. Let w be h(8). Let y be w\/(-9) + 28\/21. Let l be 0\/3 + y\/1. Calculate the highest common divisor of 3 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k - 2*k + 0*k + 4*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2 (b) -2\/3 (c) 0.4 (d) 9.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1862, 1856, 1860, 1880, 1922?\n\"Answer: q**3 - q**2 - 10*q + 1872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -5*o + 93, -2*o = 3*s - 14 - 40. Let k = 11 + -8. Calculate the greatest common divisor of o and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wfa when three letters picked without replacement from fffwwggfffffffffgawf?\nAnswer: 13\/2280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2114019 rounded to the nearest 100000?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 c, and 1 v when three letters picked without replacement from zzceepvv?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 AM and 8:34 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -12, -1216 in descending order.\nAnswer: 27, -12, -1216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m + 11. Let i be a(-13). Suppose -10*w + 13*w + 18 = 0. Let p = w + i. Which is greater: p or -9?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -368, -1, -4, -2.\nAnswer: -368, -4, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/((0 - 6\/(-13548))*-2)?\nAnswer: 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*-234881.\nAnswer: -2348810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*j**2 - 3624*j**3 + 3623*j**3 - 9*j**2.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2 + 17590*q + 246064.\nAnswer: (q + 14)*(q + 17576)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 7*d + 12 = 0. Suppose -3*r = 5*b + 1, 7 = -d*b - 5*r - 0*r. Let v(l) = 4*l - 1. Determine v(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4259106277 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 2. Are 8 and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2144333 - 4?\nAnswer: 2144324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3938 + 24?\nAnswer: 3962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -151 - -240. Is s a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -118*t**3 - 2 + 1843493*t**2 - 921747*t**2 + 7*t - 921744*t**2 + (2*t**2 - 6*t**2 + t**2)*(t + 3*t - 3*t) to u + o*t**2 + w*t + x*t**3 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 157 = 5*g, a - 85 + 8 = -5*g. Suppose 6*l = l. Suppose l = -5*q - 10, f - 5*q - 100 = -2*f. Calculate the remainder when a is divided by f.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 - (-17 + 37)) + 357\/120?\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 11734\/6 + 43\/129 - 6. Let j = -1306 + y. Does 14 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 24\/7 (c) 4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (3279\/33883)\/(-6 - -3)\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - 10*y**2 - 2*y - 1. Let z be s(-9). Let m = z + 116. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -15*b - 11181. Let g(f) = -f + 5. Give u(g(r)).\nAnswer: 15*r - 11256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(-1 + (3 - 4)). Let w(j) be the second derivative of h*j**2 + j + 0 - 1\/6*j**3. Let s(n) = -n. Calculate w(s(m)).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9204 + 9081. Put -2, -3, k in decreasing order.\nAnswer: -2, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of l**4\/24 - 5*l**3\/3 - 10*l**2. What is f(7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14988870*g**2 + 8997412*g?\nAnswer: 29977740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 186785 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 657 is divided by 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 39580 to the power of 1\/2, to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36383, 72479, 108575?\nAnswer: 144671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*b - 7. Let l(a) be the first derivative of 2 - b*a + 3\/2*a**2. Calculate l(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 - 11*r**2 - 20*r + 39. What is the remainder when w(13) is divided by 22?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 100971884 and 230282?\nAnswer: 13546","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {d: 2, l: 7}.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qhcfvcuqu. What is prob of sequence vuu?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.4958447 to 3 decimal places.\nAnswer: -9.496","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = u - 3*u + 5*k - 8*k, 277*k - 288*k + 54 = 5*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/9)\/(r\/((r**(-4\/15)\/r)\/r)))\/(r**17\/(r*r*r\/(r\/(((r*r**(-8\/3)*r)\/r)\/r)*r)*r)) assuming r is positive.\nAnswer: r**(-952\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k + 7. Let u be x(-6). Let j be 32 - u - 1*4. Suppose 0 = m - j - 15. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-14)\/(-203) - 34497859\/(-1537)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 918007 and 30.\nAnswer: 27540210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 59 + -59. Let g = 10 + -9. Let z = w + g. Which is the closest to z? (a) 1 (b) 8 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*s**2 + 2*s**2 + 989 + 1748 - 1995 as t*s + n*s**2 + r and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(243) + sqrt(243) + 2*sqrt(243)*5 - sqrt(243))**2 + (sqrt(30)\/(sqrt(5) + 1*sqrt(5)))\/(-4*sqrt(8)\/sqrt(4)).\nAnswer: -sqrt(3)\/8 + 29407","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*r + 5*r - 7*r + r in the form o + q*r and give q.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 6) in base 14?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -139120, -134498, -129876, -125254, -120632?\nAnswer: -116010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 3*x = -121, 2*y - x - 46 = 17. Let u be 12\/(-4)*2 - -4. Let g be 2\/(-3) - y*u\/12. Solve 2*a - g*a + 15 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 4*j + j)*(124*j**3 - 22*j**3 + 185*j**3).\nAnswer: 1148*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (2\/3)\/((-12)\/(-137)) and (2 + (-260)\/128)\/(1\/166).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 8 - 4*z)*(-2 - 1 + 1)*(2*z + 0 - 6*z + 2).\nAnswer: -32*z**2 + 16*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1981661 * 8.\nAnswer: -15853288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -36*j*k**4 - 162*j - k**4 wrt k?\nAnswer: -144*j*k**3 - 4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4*m**2 + 3*m - 1. Let b(n) = 4*n**2 + 4*n - 1. Give -3*b(u) + 4*v(u).\nAnswer: 4*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 55*v + 63 - 55*v + 15*v**4 wrt v?\nAnswer: 60*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 6*v. Let l(u) = 4*u**2 - 24*u + 8. Let h(x) = x**2 - 3*x + 1. Let g(w) = -8*h(w) + l(w). What is i(g(k))?\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -130374, -260789, -391234, -521715, -652238?\n\"Answer: -a**3 - 9*a**2 - 130381*a + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1400 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: Expand (l - l - l)*(0 - 24 + 4).\nAnswer: 20*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 + -6. Suppose 3*n - z = -0*n. Let m(h) = -944*h**3 - 3*h**2 + 1890*h**3 - 5*h - 945*h**3 + 7 - 3. Determine m(n).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 536*n - 158 - 157 - 168 + 483.\nAnswer: 536*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3622.5 + 3608. Let b = 2345409422 - 2345409407.49999963. Let t = b + i. What is t rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, t: 1, b: 1, l: 3, v: 2}. What is prob of sequence te?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*t = -82*t - 5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 266770 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1212112 + -112?\nAnswer: 1212000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c + 52?\nAnswer: 5e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, f: 1, v: 4, r: 4, h: 1, o: 3}. What is prob of sequence ho?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2709\/42 + (0 - (-1)\/2).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66026 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29 - 42. Let x = l + 18. Suppose -3*m - 4*j = -0*j + 26, 0 = -m + j + 3. What is the biggest value in 0.4, x, m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 3)*(2 - 5 + 2)*(7*v**5 - 3*v**5 + 2*v**5) + 10*v**5 - 2*v**3 + 2*v**3 + 0*v**5 + 0*v**5 - v**5.\nAnswer: -3*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 27*m**4 - 1005*m**3 - 2*m**2 - 2*m - 10541847.\nAnswer: 108*m**3 - 3015*m**2 - 4*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) + sqrt(104)*3)\/sqrt(2))**2.\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2)\/r**0)\/((r*r**(-2))\/r*r**(-5)))\/((r**(2\/13))**(-3\/8))**(-30) assuming r is positive.\nAnswer: r**(85\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 225258 and 132.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 190180.\nAnswer: 2, 5, 37, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -6*c + 3. Let s(p) = p - 1. Let h(g) = -3*s(g) - x(g). Let i be h(5). Calculate the least common multiple of 11 and 114\/i - (-4)\/10.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 17019*p - 51071. Calculate i(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -18121?\nAnswer: -18123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*k**4 + 3*k**3 - k**2 - 3928*k wrt k.\nAnswer: 108*k**2 + 18*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-6)*5\/((-35)\/14)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1371850)\/15)\/5 + 12\/36. Round k to the nearest one hundred.\nAnswer: -18300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(88) - -1*sqrt(88)*-2)\/(sqrt(288)*-3).\nAnswer: sqrt(11)\/18 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 384\/320 - (1656\/(-20))\/6. Solve -h = -w + 5*g, -4*w + 15 = -0*w - 5*g for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 890\/(-364) - -7*18\/(-441) and 31\/78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 4083*i + 2561. Is s(10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115 + (86 - 192) - ((-1 - -22) + (3 - 0)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -308\/17 or -18?\nAnswer: -308\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-2220))\/(132\/440)\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + 5*o + 4*o)*(-o**3 + o**3 + 3*o**3).\nAnswer: 27*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 m when three letters picked without replacement from {m: 2, c: 1, t: 1, z: 1, l: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wtmfwccl. Give prob of sequence lm.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 73 in -8, 0, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -2. Suppose -5*s = j + 9, 0*s + z*j = -5*s - 7. Let v be -1*(s - 2*-1). Which is the biggest value? (a) v (b) 2\/5 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 28*s - 190 = 0. Suppose z - s*z = -207. Calculate the common denominator of 71\/8 and (45\/(-10))\/(1*(-3)\/z).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ysfwfxfsssxsswxf. Give prob of sequence fyf.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -40678*g**3\/3 + 27120*g**2 - 8*g\/3.\nAnswer: -2*g*(g - 2)*(20339*g - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*m + 11*m + 7*m as a*m + t and give a.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 3 - 3 + 11*p**2. Let j(g) be the first derivative of -g**2 - 35. What is j(n(c))?\nAnswer: -22*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*l**3 + 7*l - 34*l - 2*l**2 - 35*l**3 + 18*l wrt l?\nAnswer: -210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*l - 14*l - 4*l + 9*l + 14*l + 90.\nAnswer: -3*l + 90","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.027 + -0.126. Let r = 0.0983985 + c. What is r rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 31 * 217.87.\nAnswer: 6753.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*k = 14*k. Suppose 13 - 5 = -3*q + 5*i, 4*q - 4*i = 0. Suppose -f = 3*g - 21, q*f - 4*g - 120 - 28 = k. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29395971 and 297.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m + 19. Let w be h(-13). Solve w*y + 15 = 3*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3301 - -5072. Suppose 2*s = -2*m + 1200, -s + 39 + o = 3*m. What is the hundreds digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - 2*t**2 + 2*t + 1. Let m be y(-3). Let u = -12.8 - -12.4. What is the closest to 2\/15 in m, 0.1, u?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 387049.\nAnswer: 13, 19, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0520854959642 + -2.\nAnswer: -1.9479145040358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 3 - 15. Let i = u - -27\/7. Which is the nearest to 0? (a) -0.1 (b) -1\/2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 1. Let d = n + -1. Let h = d + 1. What is the smallest value in h, -0.04, 2\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of -n**8\/112 + n**5\/12 - 4*n**2 - 14*n. Let z(x) be the first derivative of i(x). Find the third derivative of z(c) wrt c.\nAnswer: -180*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 - -32. Suppose 0*h - h = z. Let t = 24 + h. Solve 4*j - j - g = t, 5*g + 14 = -3*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5130738563?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) - (sqrt(102) - -1*sqrt(102)*-5))\/(6*sqrt(18)\/sqrt(3)))**2.\nAnswer: 425\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 254 is divided by 33?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*c**2*g**3 - 6*c**2*g**2 - 42*g**3 wrt c.\nAnswer: -28*c*g**3 - 12*c*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/50 of a kilogram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {z: 8, r: 5}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118*y + 50*y - 40*y = 116440448. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2159 + -2163. Let f be (((-2)\/(-3))\/((-2)\/(-12)))\/(-29). Sort b, -0.5, f.\nAnswer: b, -0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56 and 596.\nAnswer: 8344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m - 5. Let h be k(-5). Put 0, h, -5 in decreasing order.\nAnswer: h, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 117*s + 53. Let g be r(22). Let v = g + -1820. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*a - 27*a = 9351. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -164*r**3 + 1705 - 2105 - 148*r**3 - 17*r**3 + 34*r**3 wrt r.\nAnswer: -885*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 3*a, -5*n - 9*a + 13*a - 5 = 0. Let o(y) = -2*y - 3. Let k be o(-3). Suppose k*c = 12 + 3. Solve -c*x + n*h = 7, -4*h + 2 = x - 4*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -5*h + 1. Let x be m(-2). Let k(l) = l**3 - 5*l**2 - 3*l - 7. Let v be k(6). What is the highest common factor of x and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 3*p + 6 = 2*g, -5*g - 8 = 2*p for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b*i**5 + 38*b*i + 2*b - 4*i**5 + 6*i**2 wrt i.\nAnswer: 20*b*i**3 - 80*i**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 1. Let p(y) = -2*y + 6. Give 3*b(l) - p(l).\nAnswer: 2*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (96 - 203)\/(2\/(-14)) - 1. Calculate the highest common factor of 88 and i.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*c + 8712 + 336 = 0. What are the prime factors of c?\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660.7437 millennia in months?\nAnswer: 7928924.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10865*k**3*n**3*p - 8*k**3*p + k**3 + 66*k**2*p + 2*k*p - 4*n*p wrt n?\nAnswer: -32595*k**3*n**2*p - 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2421610022 to the power of 1\/2, to the nearest integer?\nAnswer: 49210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -22 (c) -2 (d) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12653008?\nAnswer: 2, 43, 53, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -440 - -1321\/3. Suppose -o = -0*o + 1. Let d be o*(-1 - (-1)\/(-1)). What is the third smallest value in d, n, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 62671 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6022 + 17072. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**4*s**3 - 199*c**3*s**3 + 2*c**2*s - 138*c*s**3 wrt c?\nAnswer: 24*c*s**3 - 1194*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 21*q - t, -36079 + 36107 = 4*t for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23677916*c**3 + 3*c**2 + 672525631*c wrt c?\nAnswer: -142067496*c + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 36 = -6*v - 4*r, 0 = -2*v + 3*r - 4. Let c = 18 + -10. Suppose -c = -0*q + v*q. Which is smaller: -5\/4 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 328 is divided by 113?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 7*b**2 + 18*b - 9. Let y be z(-8). Which is greater: y or 884\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*w + 1627 - 197. Does 13 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/15254520 and 99\/184.\nAnswer: 15254520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - l**2 - 1 + (-6*l + 3*l + l)*(-1 - 2*l + 0 + l).\nAnswer: l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.85 - 8.85. Let z = -44 + 34.5. Let h = z + 9. Which is the third biggest value? (a) 3 (b) v (c) -1 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -625724, -1251441, -1877158, -2502875?\nAnswer: -3128592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -9, -1, 1.7?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -14*k**3 - 6*k**2 + 144*k + 150. What is w(-1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*f + 17835 + f - 22803 to the form i*f + j and give j.\nAnswer: -4968","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 372\/1488*(-4)\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-3)*(-15 - -6). Suppose -4*t = -t. Suppose 2*l - 3 - 19 = t. Solve l = -b + 3*h, 0*h = 5*b - 2*h + q for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*m - 93 = -171. Which is the closest to -1\/3? (a) -6\/7 (b) -0.3 (c) m (d) 96\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -41952*l**6 - 6*l**4 - 155423*l**2 - 1 wrt l?\nAnswer: -5034240*l**3 - 144*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 546*h + 5. Let c(s) = -354355*s - 3246. Give 3246*b(m) + 5*c(m).\nAnswer: 541*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + (-9)\/6)*(-2 + 2). Suppose t = -2*y + 4. Solve -y*r = 5*m + 9 + 16, 3*m + 15 = -3*r for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4\/5 (b) 4\/3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18948 + 18963. What is the remainder when 464 is divided by o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -9*c - 24. What is y(-6)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -10*t**2. Let d(z) = -6*z**2 - 158*z - 49. Let s be d(-26). Let j(n) be the second derivative of 9*n + 0 + 1\/6*n**s + 0*n**2. Calculate u(j(a)).\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 10*q + 11. Let o = 376 - 93. Let h = o + -166. Calculate the remainder when h is divided by y(2).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14362.001 + 14362. Which is the third biggest value? (a) 0.4 (b) -0.2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0436 and -3.\nAnswer: -0.1308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (1*-3*((sqrt(320) + sqrt(320)*-1)*3*1*4 + -1))**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -11*j + 1. Let y(f) = 523*f + 256. Let h be y(6). Let c(w) = -5*w**2 + h + w**2 - 3394. What is c(m(r))?\nAnswer: -484*r**2 + 88*r - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of 2*c**3\/3 + 248. Let y(d) = 16*d + 4. Calculate f(y(r)).\nAnswer: 512*r**2 + 256*r + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a**2 + 2*a**2 + 0*a**2. Let v(y) be the third derivative of 0 + 0*y**3 + 1\/24*y**4 + 2*y**2 + 0*y. Determine v(d(g)).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/(-16) + (-5)\/(-20). Is 128\/k - (3 + -4 + 4) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16538 is divided by 2185.\nAnswer: 1243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from {c: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2219689 to the power of 1\/3, to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.02? (a) -31.6 (b) -0.4 (c) -706 (d) 4 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 6*h**2 - 8*h + 10. Let b be v(5). Let k = -8 - -5. Sort b, 3, k in decreasing order.\nAnswer: 3, k, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 5*m = -126, 0 = -5*o - 5*m + 16 + 119. Differentiate 23*j + 3*j**2 - o*j + 14 - 2*j**2 with respect to j.\nAnswer: 2*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {m: 1, a: 7}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 11:17 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 51 = 3*a, 6*a + 66 = 2*a - 2*w. Let q be -6 + 13 + (-272)\/32. What is the biggest value in 7, 2, a, q?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3804265?\nAnswer: 5, 61, 12473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, 22, 5 in increasing order.\nAnswer: -1, 1, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-10)\/(-4)*2\/(-10)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77084.\nAnswer: 2, 7, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4524385759 to two decimal places.\nAnswer: 0.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 - 1 = 4*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.8018 + 1.2982. What is the third smallest value in -0.233, -6\/7, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3 + 21*n**2 + 48*n + 36.\nAnswer: 3*(n + 2)**2*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -37244356*w**4 + 109*w**2 + w - 14052 wrt w.\nAnswer: -893864544*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2779?\nAnswer: 7, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 0.062\nAnswer: 0.0062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -88 less than -182250490?\nAnswer: -182250402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*i + 29*i - 1 - 2.\nAnswer: 44*i - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/3 (b) 1\/2 (c) -0.8 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.463 + 2.243. Sort 0.2, 17, l.\nAnswer: l, 0.2, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3*r**2. Let v(c) = 4*c + 11. Let k(y) = y + 2. Let s(z) = 11*k(z) - 2*v(z). Determine x(s(w)).\nAnswer: 27*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 415045 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w\/(w**(-2)*w))**(-34)*((w**(1\/4)\/w)\/w*w)**47)**22 assuming w is positive.\nAnswer: w**(-7535\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 24, -22, -128, -318, -616?\nAnswer: -1046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of -7*g**3\/3 - 5. Let r(c) = 4*c. Determine r(f(d)).\nAnswer: -28*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 11) to base 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*o**3 - 489*o**3 + 387*o**3 + 7*o + 7*o**2.\nAnswer: -23*o**3 + 7*o**2 + 7*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/6 and 17\/6456120.\nAnswer: 6456120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 6*a**2 - 4*a - 6. Let o be w(-5). Let z = -7 - o. What is the remainder when 14 is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 11663 = -5*l, 2350 + 9305 = 5*l + 5*r. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 5*o = -s - 113, 0 = 2*s + 2*o + 166. Does -88 = s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39950 is divided by 907?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1073643?\nAnswer: 3, 167, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 123 and 2009?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 3 (b) 1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -34 and 529.\nAnswer: 495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 + 5*i + 8. Let d(s) = s**3 - 36*s**2 + 8*s - 284. What is the remainder when f(-6) is divided by d(36)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 14) to base 6\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 v when three letters picked without replacement from tsvvssshssshssvs?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66696 is divided by 41?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 16. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 69 and 1306101.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -160, -176, -208, -262, -344, -460?\nAnswer: -616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 - -5 - 0\/(-1). Let w = u + -3. Calculate the highest common factor of w and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -396038357594 and 0.2.\nAnswer: -396038357593.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 3:23 PM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (284*y + 510*y - 338*y + (y - 3*y + 0*y)*(1 + 0 - 3))*(0*y - 3*y + y).\nAnswer: -920*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12*g**4 - 2*g**2 + 215?\nAnswer: 48*g**3 - 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 8*k + 159 = 0. Suppose -k = -4*n + 107. Suppose 3*g - 76 = -2*g - 4*c, -2*g - 2*c = -30. What is the greatest common factor of g and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + 2 + -5)\/((-16)\/80).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t + 35*t**2 - t - 14*t + 11*t + 4*t in the form c + p*t + n*t**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 5, -836 in ascending order.\nAnswer: -836, -5, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, m: 2, i: 1, o: 1}. Give prob of picking 1 i, 1 z, and 1 m.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -103 - -15?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 265331210 to the power of 1\/4, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 3*c**3 - 6. Let o(d) = 35 + 27 - 51 - 5*d**3. Determine -11*i(w) - 6*o(w).\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, 1, -2408, 3 in increasing order.\nAnswer: -2408, -3, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(550*(-263)\/13150 - ((-680)\/31)\/2)?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1037446 is divided by 17?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -9, 7, 9, 1, 2\/3?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-169 + 1391 + 95 + 1534 - 105)*(-h**2 + h**2 - 2*h**2) to the form x*h + u*h**2 + r and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 9 = -3*s - 5, 2*s = k - 6. Let a = -3 + 5. Find the second derivative of -i**2 + 6*i**a - 3*i + 4*i - k*i**2 wrt i.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-119)\/(-16)*4)\/(36\/(-111 - 33))?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -7*x**2 - 5*x. Let h(v) = 4*v**2 - 5*v**2 - v + 0*v. Let y(a) = 5*h(a) - k(a). Let w(p) = 10*p**2. What is y(w(j))?\nAnswer: 200*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 222577261 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 - 7*i + 1. Let x be n(-3). Let t = -25 + x. Suppose -139*a + 136*a + q - 58 = 0, -q - 26 = 3*a. Which is smaller: t or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 0*u + 6. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001575 to five dps.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = o + 3. Calculate the least common multiple of 1 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 37*m + 542. What is r(-17)?\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -787648502182.00258 - -787638060473. Let m = -10441914 - n. Let l = -205 - m. Round l to four dps.\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2 - 70880 + w**2 - 56699 - 68670 + 886*w.\nAnswer: -(w - 443)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63730896079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y + 7. Let n(d) = -d - 3. Let o be n(4). Calculate the remainder when c(o) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 + 28*f + 103. Give o(31).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - 35*p - 21 + 12 in the form m + o*p and give o.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4122 a factor of 134149769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 26*i**2 - 7*i + 184. Let q be s(26). Is -316 < q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 97468663?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -210068 rounded to the nearest ten thousand?\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -747 at most as big as -744?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.779232 rounded to two dps?\nAnswer: 2.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26613.003 months to millennia.\nAnswer: 2.21775025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 863 - 16439. Let x = 29653 + c. Suppose i = 61077 - x. Round i to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 1 - 1)*(-2*d**3 + 3*d - 3*d) + 2*d - 2*d + 2*d**3)*(-10*d + 10*d + 14*d**2).\nAnswer: 84*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 57 and -2353 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24.95 + 25. Is -1\/3 >= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 217749?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*s + 56*s - 26*s - 21*s.\nAnswer: -11*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 131968?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence st when two letters picked without replacement from {s: 3, t: 7, p: 1, f: 5}?\nAnswer: 7\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 89 + -54. What is the greatest common divisor of 5 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 9) + -5 - 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2930*b**3*l**3 + 23*b**2*l**3 + 3*b**2*l - 11*b*l**2 wrt b?\nAnswer: 17580*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12885 divided by -12885.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**3\/5 + 448262*i**2\/5 - 2241388*i\/5 - 6275808\/5 = 0. Calculate i.\nAnswer: -224136, -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 0.3, -0.2, -2\/269.\nAnswer: -0.2, -2\/269, 1\/4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -449.4 + -0.1.\nAnswer: -449.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.589684 months in centuries?\nAnswer: 0.00215807","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 2 = 4*n. Find v, given that -2\/3*v**4 + 0*v**n + 0 - 8\/3*v + 2*v**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -40.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1078)*1 - (sqrt(22) - (sqrt(22) + sqrt(22)*1)*2))\/(4*(sqrt(2) - ((sqrt(32)*-3 - sqrt(32)) + sqrt(2)))))**2.\nAnswer: 275\/1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.57 + -3.43. Let x = -728 - -728. What is the nearest to x in f, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 372*h**3 + 3 - 369*h**3 - 453*h**2 + 150*h**6 + 340*h**6 wrt h.\nAnswer: 58800*h**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of w**4\/8 + 2*w**3\/3 - 2*w**2 - 5. Let t(k) be the second derivative of y(k). Differentiate t(g) with respect to g.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 3*n**2 + 2. Let o(a) = -21*a. What is o(v(s))?\nAnswer: -63*s**2 - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -142638, 4, 3, 0, 2 in ascending order.\nAnswer: -142638, -4, 0, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(100)\/(sqrt(2) + (sqrt(2) - sqrt(32))) + -3.\nAnswer: -5*sqrt(2)\/2 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13964825417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g - 4. Let y(f) = -f - 4. Let q(b) = -6*k(b) + 7*y(b). Let d be q(3). What is the units digit of 2\/d - (-130)\/14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {e: 14, u: 5}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 - 4*k**2 - 2*k + 9. Let l(n) = -n + 1. Let b = 3 - 8. Let f be l(b). Let z be s(f). What is the greatest common divisor of 23 and z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -388, -769, -1150, -1531, -1912, -2293?\n\"Answer: -381*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17280937?\nAnswer: 19, 257, 3539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5125124?\nAnswer: 2, 1281281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55911 is divided by 205?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (26 - -13) + (7 - 6) - (8 + -10)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21897 is divided by 39?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0419941 less than -0.025?\nAnswer: -0.0669941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -0.05 (c) -5\/6 (d) 61 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9929937.\nAnswer: 3, 3309979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -8*p**3 + 149*p**2 - 2315*p + 5630. Let x(q) = 9*q**3 - 147*q**2 + 2313*q - 5631. Let f(c) = 6*r(c) + 5*x(c). Determine s so that f(s) = 0.\nAnswer: 3, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12260.9 minus -674110816?\nAnswer: 674098555.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4633 + 4632. Which is greater: z or -10\/91?\nAnswer: -10\/91","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -28598?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a minute in seconds?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34594)\/(-71659)*-9*(-3)\/63?\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 63 - 43. Let w = m - 15. Find the second derivative of w*n - n - n + 0*n - 5*n**5 wrt n.\nAnswer: -100*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12074 + -12074. Let a(o) be the third derivative of 0*o + 10*o**2 + 0*o**4 - 1\/20*o**5 + x + 0*o**3. Let y(t) = -7*t**2. Give y(a(c)).\nAnswer: -63*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of 1\/330*p**6 + 0*p**2 - 1\/220*p**5 + 1\/66*p**3 + 0 - 28*p - 1\/132*p**4. Factor n(g).\nAnswer: g*(g - 1)**2*(g + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(-24 + 10 - -12). Let m(n) be the second derivative of -17\/6*n**3 + v - 4*n**2 - 4*n. Differentiate m(r) wrt r.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24421?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggyywyyyyywwggy. Give prob of picking 3 w and 1 y.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 3 (b) 0.2 (c) -0.4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 164.996 + 0.004. Let m = -165.6 + p. Which is the closest to 9? (a) -1\/11 (b) 2\/3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - -4.217041022583.\nAnswer: 3.817041022583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8442.2 - 1025.8. Let f = -9491.956 - l. Let x = 24 + f. Round x to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -343*v**3 + 413*v**2 - 515*v\/7 + 25\/7.\nAnswer: -(v - 1)*(49*v - 5)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from {f: 4, l: 1, x: 6}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3)*(-1 + 1 + a + (2 - 2 + a)*(3 - 3 + 1) - a + 2 - 2 + 4*a - a - a).\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/29 (b) 6\/11 (c) -2\/1432027\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/4 - (3 - (2 - 2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -2*y + 48, -4*y + 151 = -3*d + 56. Suppose -4*c + y = -3*t, t = 2*c - 9 - 0. Let u(w) = w**2 + 4*w + 1. Does 2 divide u(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/((-3 - -2)\/10). Solve 2*y + 5*p - 5 = -2*y, 0 = -y + p - l for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-1)*(-6)\/4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -5*((0 + sqrt(1088))**2 + sqrt(51)\/sqrt(75) + sqrt(17)).\nAnswer: -5443 - 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 394? (a) -12\/13 (b) 4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 178808?\nAnswer: 2, 7, 31, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -5, -1127 in ascending order.\nAnswer: -1127, -15, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 235124 + -122 + (1 + 1)*-1. What is x rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - ((-27 - -7) + 5)) + -12?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2087263?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 170?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2638 - d - 2638 + d - 5*d**3.\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-22) - 576\/(-99). Let p = 14 + o. Calculate the remainder when p is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -107 or -2894\/27?\nAnswer: -107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3)\/m*m\/(m*m**9)*m*m)\/(((m*m**(-2\/3))\/m*m)\/m**7) assuming m is positive.\nAnswer: m**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -16.31 and -0.5.\nAnswer: 8.155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 236165 divided by 5.\nAnswer: 47233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 3:49 AM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.13077*-6\nAnswer: -0.78462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -2796661 to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -f**4\/4 + 5*f**3\/3 + 4*f**2 - 5*f + 16. What is v(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(13) + 1 + -3 - ((sqrt(13) + sqrt(13) + sqrt(637) + 1 + sqrt(13) + sqrt(13) - sqrt(13)) + sqrt(13))))**2.\nAnswer: 40*sqrt(13) + 1304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -238 - ac?\nAnswer: -317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 355 - 327. Suppose 113 = -4*c - b + 297, 0 = -2*c - 4*b + 106. Let h be 2\/9 - (-1250)\/c. Calculate the greatest common factor of d and h.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 353 = -5*a, n + 150 = 2*a - 3*n. Suppose 73*b = a*b + 1280. Suppose 0 = -4*v + b - 156. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145a (base 11) in base 13?\nAnswer: b18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-4 + sqrt(63)*-2 - ((sqrt(252)\/sqrt(4) - sqrt(63)) + -1 - sqrt(63))) + 0.\nAnswer: -3*sqrt(7) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10452 (base 6) to base 4.\nAnswer: 113000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 + -9. Put 0.2, 2\/7, -0.5, i in descending order.\nAnswer: i, 2\/7, 0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (92\/690)\/(156\/720)*2\/(-4)\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 568205 is divided by 3900.\nAnswer: 2705","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of -r**2 + 2. Let o(p) = 0 + 4 - 4 + 3*p. Calculate o(n(z)).\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 2 = -4*i + 4*b, -4*i - 4 = -b. What is the remainder when 36 is divided by ((8 - 1) + i)\/(4\/2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 5:37 AM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/129020208 and -97\/20.\nAnswer: 645101040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -11*b**2 - 7*b. Let o(g) = -65*g + 2. Calculate n(o(p)).\nAnswer: -46475*p**2 + 3315*p - 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**2 - 3666*y**3 + 8*y**2 + 3362*y**3 - 14*y**2)*(-2*y + 5*y + 0*y).\nAnswer: -912*y**4 - 18*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16410210.\nAnswer: 2, 3, 5, 547007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9233 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4*s - 3 = 0. Let w(n) = s + n + 0*n + 0*n + 9*n**2. Is w(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-20 - 1)*(-1)\/(-6)*-2 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5\/2218 + -117839\/126426. Calculate the common denominator of -85\/21 and j.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 22770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63, -250, -561, -996, -1555?\nAnswer: -2238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - (sqrt(88)*-2)\/sqrt(8)) + (2 + sqrt(275))**2 - ((sqrt(66)*-3)\/sqrt(6) - sqrt(66)\/(-2*sqrt(6) - sqrt(6))).\nAnswer: 77*sqrt(11)\/3 + 279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 481221259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6\/65, 16\/9, -2?\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1142 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 8\/((-8463)\/770 + 7 + 4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10 - (3 + -1 - -1). Suppose 2*w - m*w = -85. Let i(c) = -c + 5. What is the remainder when w is divided by i(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h**5 - 470*h**4 + 6*h**3 - 751050*h**2?\nAnswer: -60*h**2 - 11280*h + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 192460136 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -f**5\/6 + 9*f**4 - 529*f**3\/6 - 204*f**2 - 320*f\/3 = 0.\nAnswer: -1, 0, 16, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 184 and 230?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w - 103. Let i(u) = -3*u + 293. Let o(x) = -14*g(x) - 5*i(x). Determine o(8).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, y: 1, g: 2, i: 1, f: 4}. What is prob of sequence gi?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*p + 488 = 343 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xm when two letters picked without replacement from mxgbi.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 8, -2\/7, 0.026?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*c**2 + 179 + 0*c - 179 - c to z + d*c**2 + s*c and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -351*f + 5. Let h be x(-5). Let g be 1 - (h + -1)*-1. Suppose -3*m - i + 1675 = 0, 3*m + 3*i + 77 = g. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*w**4 + w**3 + 0*w - 5\/4*w**2 + 0.\nAnswer: w**2*(w - 1)*(w + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -13091, -13305, -13519?\n\"Answer: -214*z - 12877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/4 and -77\/149294?\nAnswer: 298588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**3 + 0*c**3 + c**3 - 3*c**3 + 2 to y*c + q*c**2 + i*c**3 + t and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by -288141\nAnswer: -4\/96047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2042 rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (0 - (-3 + 6) - (-7 - -1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 431, 458, 389, 176, -229, -874, -1807, -3076?\nAnswer: -4729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 0*h = 5*f + 316, 5*f + h + 319 = 0. Let j = f - -339. Calculate the greatest common factor of j and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.338 + -5.278. What is the third smallest value in p, -2\/19, -12?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2291 + -2287. Let s = -65\/3 + 22. What is the biggest value in s, -1\/2, i, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41870755?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25625413512794 - 0.1.\nAnswer: 25625413512793.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 161850 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 31*c**2 + 35*c - 112. Determine q(4).\nAnswer: 524","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-528.48\nAnswer: -52.848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 152 and 0.134.\nAnswer: 152.134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2\/4 + 134337*a\/2 + 12249510.\nAnswer: -3*(a - 89740)*(a + 182)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qxxxxleexqeup. What is prob of sequence qee?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 12:33 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-3) - 3 - (-2091)\/369 - -17.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 634 + -483. Calculate the remainder when 1367 is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3786273 to the nearest integer?\nAnswer: 1946","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*a + 7*a + 25 - 25.\nAnswer: -27*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2636410 divided by 2?\nAnswer: 1318205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -61*y + 5. Let r(f) = f. Give r(q(x)).\nAnswer: -61*x + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -2\/57, 2\/9, -14\/3 in ascending order.\nAnswer: -14\/3, -2\/57, 0.1, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 304122113 (base 6) to base 7\nAnswer: 62336142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 221414?\nAnswer: -221420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - k - 5*w = -11, 152*k - 154*k - 5*w + 9 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + 4*q + 4. Let m be w(-4). Let l = m + -1. What is the lowest common multiple of l and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8308*h**3*p**3 + 19*h**3*p*u - 4*h**3*p - h*p**3*u + p**3*u + 89*p*u wrt p?\nAnswer: 49848*h**3*p - 6*h*p*u + 6*p*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*1*(-4)\/(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -158*j + 1587. Give n(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1 - 0\/(-2))*25 is divided by 11 + 3 + (-1 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-64)\/(-24))\/(10\/30).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4039, 6011, 3833, -4571, -21277, -48361, -87899, -141967?\n\"Answer: -346*q**3 + q**2 + 4391*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -65\/6 - -23\/2. Let z = 15.84 - 14.3. Let d = 0.46 + z. What is the closest to 0 in 0, l, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 288054 to the power of 1\/3, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/(-2) + -20 + (-1400)\/(-125) - -4. Factor 2058\/5 - 882\/5*o + 126\/5*o**2 - j*o**3.\nAnswer: -6*(o - 7)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.15 - 5.15. What is the closest to 1 in -0.5, z, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*y + 3*a - 6, 10 = 5*y - 5*a. Solve -3*o + 1 = y*t, 6*o = 4*t + 4*o + 8 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/22)\/(451\/451)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-4)*4\/(-90)*-3\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5}. What is prob of sequence qqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 PM and 8:48 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of s**2\/2 - 16. Let y(q) = 413*q. What is g(y(k))?\nAnswer: 413*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16226680?\nAnswer: 2, 5, 405667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 787591?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -4\/1204751, 7, 1, -2?\nAnswer: -4\/1204751","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (-4 - -5 - 0)) + 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x**2 - x. Suppose -42 = 16*t - 26. Give f(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2998006.\nAnswer: 2, 11, 136273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of -1\/6*a**3 + 0*a**2 + 0 - 2*a. Let y(c) be the second derivative of c**4\/6 + 202*c. Determine o(y(m)).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 3*x - 4 + x**2 + x**2 in the form j*x**2 + w + y*x and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - g - 16. Let t be q(4). What is the second smallest value in t, -0.1, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 859?\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 755 and 14809.9.\nAnswer: 15564.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - v**2 - 5*v + 8. Let j be q(2). Let r be (0 - 0)*(4 - (j + 3)). Solve r = -k + 6*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(360)\/sqrt(8)*-2 + 5 + 1.\nAnswer: -6*sqrt(5) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -169.47 + -3.53. Let c = i + 171.54. Round c to one dp.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of 0*v + 0*v**2 + 0*v**5 - 42 - 1\/7*v**7 + 29\/6*v**6 + 37\/3*v**3 + 0*v**4. Find the third derivative of m(r) wrt r.\nAnswer: -120*r**3 + 1740*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -413666*o + 0 + 0 - 700554*o.\nAnswer: -1114220*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*m + 3*m + 127*m - 26*m - 18*m - 23*m - 8*m.\nAnswer: 31*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2923*p + 126. List the prime factors of m(-5).\nAnswer: 14741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 18743634 and -5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (13*p + 45*p + 42*p)*(2 + 2 + 0 - 6) in the form q + z*p and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 62 = 2*g, 23 = -5*n - 2. Let a be (984\/9)\/(14\/g). Let i = -107 + a. List the prime factors of i.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = 3*f + 4, 4*i - 6*f - 338 + 346 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4*(-2)\/(-18)*(-1)\/2. Put -5, w, 2\/5, 4 in descending order.\nAnswer: 4, 2\/5, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -133*p**3 + 46*p**3 + 50*p**3 - p + 44*p**3. Determine l(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ofszgzv. What is prob of sequence zvs?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 5*v = 6*p - 37, 5*p = -2*v + 25. Let m be 3\/9*(-985)\/p. Let b = m + 1873\/18. Calculate the common denominator of -67\/18 and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -999329\/42 + 23795. Calculate the common denominator of a and -1 + ((-6)\/15 - (-1139)\/910).\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/34 and -43\/264?\nAnswer: 4488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45327, -45295, -45265, -45237, -45211, -45187, -45165?\nAnswer: -45145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24388586, 97554380, 219497370, 390217556, 609714938, 877989516?\nAnswer: 1195041290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40885 is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 1 - 3)*(-3 + 2 - 1)*(-3*x - x + 3*x).\nAnswer: 10*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 856963*p**2 - p + 237500.\nAnswer: 1713926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147 is divided by 97?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3022246009 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of -5*f**4\/12 + 7*f**3\/6 + 16*f**2. Let n = -21 - -9. Is l(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3765328 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*l - l + 0*l)*(-5*l - l - l) - 3*l**2 + 0*l**2 + 2*l**2 - 49 + 48 - 4*l - l**2 + 2*l to h + w*l + r*l**2 and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 371057?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 16182702 to the power of 1\/5, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -5196 smaller than -117?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 8 and -218.\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 123 = 2*x, 3*p + x - 63 = 57. What is the greatest common divisor of 1053 and p?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -10 (b) -30 (c) 2.49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 17.9. Let u = n + 1.9. Let y = -5.99999945 - u. What is y rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 4*y**2 + 5*y + 4. Let a = 16 + 24. Calculate the remainder when q(-6) is divided by a.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 39 - c8e35?\nAnswer: -c8deb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**0)**(-1\/3))**35 assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22075 and 100?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 10*v + 12. Let q(b) = -3*b + 3*b + 1 + v + b. Give q(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1226 + -1218. What is the second smallest value in 0.2, -1\/3, 0.3, p?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7888 - 7887. Let f(h) = -h + 1. Let q(o) = -4*o + 5. Calculate i*q(j) - 3*f(j).\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9891?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 PM and 10:34 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.107 * -1\nAnswer: -0.107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3147 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1666*g = -1662*g - 8 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*k**6 + k**2 - 67*k?\nAnswer: 1680*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + y + 40, 0 = -2*o - 2*y + 20. Solve -2*z - 4 = -11*w + 7*w, 0 = -4*w - z + o for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32530974 to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -12*f + 1. Let r be w(1). Let a be (-2)\/6 - r\/(-3). Suppose 0 = 16*s - 17 + 65. Which is smaller: s or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b + 12. Let i be m(-10). Let y be i + (-1)\/((-2)\/(-24)). What is the common denominator of -1 - 0 - (-34)\/y and -9\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2589, -2580, -2585, -2610, -2661, -2744, -2865?\n\"Answer: -x**3 - x**2 + 19*x - 2606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q + 11. Let s be n(6). Let k be 1 + 1 - (s - 3). Suppose -4*u + k = -8. Calculate the highest common factor of 18 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 1965*s + 157151. Calculate a(-80).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -cc - 39c94?\nAnswer: -39d82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 60559204 times 0.1?\nAnswer: 6055920.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 4*a = -0 - 2, 18 = 3*g + 4*a. Let p = -9 - -11. Suppose 0*x + p*x = 4. Is g less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 + -16. What is the remainder when (2\/(-4))\/(3\/(-630)*h) is divided by ((-9)\/5)\/(3\/(-15))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/17 or 928?\nAnswer: 928","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 7, -1, -895, 2, 3.\nAnswer: -895, -1, 2, 3, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17.43 + 18.03. Which is the fourth smallest value? (a) -0.01 (b) s (c) -4\/7 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-13 + 1)\/6 + (-2)\/1. What is the remainder when 29 is divided by h*(-2 + 35\/(-20))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - r = -f + 7, -3*f = 5*r - 11. Let z(s) be the first derivative of -5\/3*s**3 + 3\/2*s**f + 0*s - 2. Give z(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**19)\/r*r**(2\/9)*r**(-6)\/r*r*r**(1\/22)*r assuming r is positive.\nAnswer: r**(-4699\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h**2 - 3*h. Let f(p) = 4*p - 302 + 610 - 308. Determine v(f(o)).\nAnswer: -32*o**2 - 12*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33*r**3 - 418 + 418)*(-6441 + 6441 + 81*r).\nAnswer: -2673*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-6)*(-150)\/50.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fufu when four letters picked without replacement from uuffufufufuufuufluf.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 f when three letters picked without replacement from {d: 1, u: 2, f: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 3*v - 4*c, -c + 6*c = -4*v - 13 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - (-1)\/(5\/(-15)) - -1. Let n be 2 + 25\/(-15) + 94\/6. Solve g*k = 4*k + n for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 w when three letters picked without replacement from {h: 6, w: 4, x: 3}?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**6\/(u\/(u\/(u*(((u**(-3)*u)\/u*u)\/u)\/u)))*u**4*u**(-2\/5))\/(u**(-3\/5)\/u*u*u**(-6)\/u*u*u)**(-9\/4) assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -14532 (base 7) in base 4?\nAnswer: -333021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 493213 at least 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/15, -5, 3, 4 in decreasing order.\nAnswer: 4, 3, -4\/15, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 - p + 1. Let c be b(-2). Let u be 50\/14 + c - (-4 - -6). What is the smallest value in -4, 0.3, u?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qgg when three letters picked without replacement from {q: 17, g: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 3*k + 13 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 137 and 10601?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/12 (b) -3 (c) 0.367\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 3517*f = 3520*f - 15, -3*f = 2*c - 10. Let s(i) = 43*i - 220. Give s(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*r + 6444667 - 6444527. Find i such that -2\/5*i**5 + 0*i + 12\/5*i**2 - 22\/5*i**3 + 12\/5*i**r + 0 = 0.\nAnswer: 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 357 is divided by 183.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26167499 to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 323 = 2*l - 129. Let o = l - 1585\/7. Is -1 at least as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -771969 + 230947 - 349643 = -5*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*x + 389*x = 18*x - 7616 for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -9, -4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaehhhxjexmhhha. What is prob of picking 1 m and 1 x?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-5)\/(35\/(-2391)) + 72\/(-126)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 5 = -4*f, -18*b = -22*b + 5*f - 2 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 2 = 5*a. Let o be (a - 0)\/(3\/3). Let n be (o - 6\/3) + 3. Which is smaller: n or -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 + (-29 - -30 - 11) + 41\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(187) + -1*sqrt(187))\/sqrt(11))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - ((-13 - -19) + -22).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -28278427115799 - 1.7\nAnswer: -28278427115800.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.1 + 1.1. Let q be (2\/16)\/((-3)\/(-4)). What is the closest to 0.1 in q, g, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -3. Suppose b*g = 6*w - 5*w + 11, g - 5*w - 1 = 0. Is g a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 96 + -478\/5. Let w = -400 - -400. Suppose j - 2 = -j. What is the nearest to b in -4, j, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74626030.\nAnswer: 2, 5, 23, 14107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 382.344 + -383.544. Suppose 5 - 4 = 2*v - c, 0 = -v + 4*c - 3. Put 8, v, q in ascending order.\nAnswer: q, v, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -330*p - 1156*p - 1016*p = 789*p - 148095 for p.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -11.5. Let b = g - -1.5. Which is bigger: b or 0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (63\/(-6)*(-1154)\/(-8655))\/(1\/(-7))\nAnswer: 49\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -3*x. Let i = -4401\/17 - -259. Which is greater: x or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.2, -34.6, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 603379 and -0.046.\nAnswer: 603378.954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -718*y + 721. Calculate s(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in centuries?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*g**2 - 671 + 1890*g + 346 + 325.\nAnswer: -26*g**2 + 1890*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - (1 - -4) - (0 + -17). Suppose -2*q - 4 = t, -q + 4 = -2*t - m. Let f = t + 11. Solve f*v + 1 = -2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 660173923?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.99 + -0.01. What is the second smallest value in 1\/3, g, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6139 + -6104. What is the third biggest value in 6, 12, a?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 q when four letters picked without replacement from {q: 2, d: 2, f: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o - 1. Let x(t) = -11*t. What is -2*j(d) + x(d)?\nAnswer: -9*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b416 + -205?\nAnswer: b211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-304)\/14 + (-2)\/7. Let m be 3 - 7\/(7\/i). Solve -m = -6*o + o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21\/5 + 2\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 363 is divided by 58.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4 = -2*b, -5*c + 9 + 1 = -4*b. Solve 2*a + 4 = -c for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 3*i + 4 - 8, 10 = -5*i - 5*f for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + w - 8 = 0, -2*t - 3*t + 4*w + 10 = 0. Suppose 31 = -2*r - 11. Let s = r - -24. Solve 0 = -c + 5*c - t*o, c + s*o + 14 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -402112530 + -3?\nAnswer: -402112533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 22 = -5*k + 5*f, -5*f = -2*k + 16. Suppose -y - p = -27, -k = -2*y + 3*p + 76. Let w = 7132 - 7004. What is the greatest common factor of y and w?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -344 - -344.004. Let g = m + -0.0040284. Round g to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 0 + 0)*(-o + 5*o - 2*o) - 63*o - 9*o + 2 + 43*o)*(1 + 2*o - 5 + 1).\nAnswer: -50*o**2 + 79*o - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4*i = 56, -5*i + 140 = 5*l - l. List the prime factors of (206880\/400)\/((-4)\/(l\/(-3))).\nAnswer: 2, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12\/13, -0.07, -20622, -1, -1\/7 in descending order.\nAnswer: 12\/13, -0.07, -1\/7, -1, -20622","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2\/2193 - -5111\/6579. Do 2 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*u + 137 = 4 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.5668905 greater than 1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-5)*39\/(-9)*((-104650)\/195)\/(-161)?\nAnswer: 104\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -686 (base 13) to base 16.\nAnswer: -464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*k**2 + 46*k**2 - 19*k**2 + 3*k**2.\nAnswer: 92*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -33320 - -2020?\nAnswer: -31300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331)*-3 - sqrt(11))**2*-4.\nAnswer: -50864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.104, 4, 3, -2\/9, -25, 6?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0059453 + -284422.9940547. Let m = z - -284421.9999936. Let a = m + 1. Round a to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - 12. Let g = q - 3. Which is greater: -0.6 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**2 + 100*j - 1120. Let f be w(33). Suppose 0 + 9\/4*p + 3\/8*p**f = 0. What is p?\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - k = -30. Let y(m) = m**3 + 16. Let o be y(0). Let b = o - k. Calculate the greatest common divisor of b and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d**2 - 9*d - 1. Let c = 341 + -334. Let f(s) = -5*s**2 + 19*s + 2. Calculate c*w(h) + 3*f(h).\nAnswer: -h**2 - 6*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of -k**4\/12 - 25*k**3\/3 + 168*k**2 + 1165*k. Factor l(u).\nAnswer: -(u - 6)*(u + 56)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5978107 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -23*q**3 + 3*q**2 - 4*q - 6. Let b be s(-1). What is the greatest common divisor of 132 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1717654\/277 or -6200?\nAnswer: -6200","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**4 + 10*l**4 + 0*l**4 + ((2 + 3 - 3)*(-3*l - 2*l + 3*l) + (l - 4*l + 2*l)*(1 + 0 - 2) + 3 - 3 - 2*l)*(3 - 3 - 5*l**3).\nAnswer: 34*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1957.06 times 0.1?\nAnswer: 195.706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 287*y - 268. Calculate the remainder when l(2) is divided by 667\/46 + 2\/(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 107545 = -3*u - 4402, 0 = -2*u - 5*w + 68724. List the prime factors of u.\nAnswer: 3, 7, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 PM and 3:22 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, x: 5, o: 1, t: 1, s: 1, c: 4}. Give prob of picking 1 x and 1 o.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -71 + -9. Let j = o + 80.078. What is j rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/165*(-6)\/2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 7:39 AM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-4*2\/(-32)). Suppose -a - g + 2*g = -n, -2*a - 2*g = -36. Does 17 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8527012 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 + 7*f + 1. Let c be z(6). Suppose 3*s - c + 19 = 0. Let t be 5\/2 - (-2)\/s. Solve 0 = 3*h + t*h - 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1414)\/(-3535))\/((-3)\/(-10) + (-1)\/(-2))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2373 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2971658.\nAnswer: 2, 181, 8209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/8 (b) 11 (c) 3\/13 (d) 246\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -0.03331016?\nAnswer: 0.03331016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*o + 58*o - 19074 = 0. What are the prime factors of o?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-7 - -5 - -8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 3*k - 12 + 29, 3*j - 2*k - 7 = 0. Let t be (4\/j)\/(4\/10). Suppose -t*v + 174 = -0*v. Does 30 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of r**5\/60 + r**3\/6 - r**2\/2 + 3. Let v(k) be the second derivative of b(k). Let x be v(0). Is x equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1331) + -1)**2 - -2*sqrt(1331)*-3 - (-2*5*(sqrt(11) + -1)*6*6)**2.\nAnswer: -1549875 + 259090*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 10:21 PM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 + 6*w + 5. Let n be h(-5). Let r = 8405\/4 + -2088. What is the common denominator of r and n - 1\/((-2)\/17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16640 is divided by 1109?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 40\/77 and 131\/305046.\nAnswer: 3355506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 e when two letters picked without replacement from dtcce?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 82 = -5*p, 149*p = 160*p - 198 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*s - 111 - 4359 = 11*s for s.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 11 = 2*p, -4*p - 12*u = -15*u + 9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*c**3\/7 + 155*c**2\/7 - 178*c\/7 + 32\/7.\nAnswer: -(c - 16)*(c - 1)*(9*c - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13123.8117s to days.\nAnswer: 0.15189596875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -21. Let t = g + -14. Let i(y) = -562*y + 2258. Let c be i(4). Which is greater: t or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 8 = -4*c, -7*c + 4*o = -0 - 20. What is the closest to 3 in c, -5, -9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2211400 (base 5) to base 3.\nAnswer: -1221121101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 396893857.\nAnswer: 37, 10726861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -1.9, -3 in descending order.\nAnswer: 4, 2, -1.9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2205, 2205, 2197, 2175, 2133, 2065, 1965?\nAnswer: 1827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48453671?\nAnswer: 7, 277, 24989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -811296170 rounded to the nearest one hundred thousand?\nAnswer: -811300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 AM and 2:04 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 912 divided by -25\nAnswer: -912\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 8, g: 2, s: 1, j: 4}. What is prob of sequence gcj?\nAnswer: 32\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)\/(sqrt(28)\/sqrt(7)) + sqrt(416)*-3)\/(-3*sqrt(800)*2).\nAnswer: 11*sqrt(13)\/120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 292*h - 586*h + 2*h**2 + 12 + 284*h = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 943 and 5698549?\nAnswer: 943","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*6208385.8\nAnswer: 2483354.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 3*v + 1 = 0, 3*h = 3*v + 4 - 7. Let u be (-35074)\/(-234) - h\/(-18). Which is the closest to -2? (a) u (b) 0.4 (c) -2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ututtu. Give prob of sequence tu.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1))**(-12))**(-20)\/((w**6*w**(-3)*w)\/((w*w*w\/(w*w\/w**1))\/w*w*w\/(w**5\/w))) assuming w is positive.\nAnswer: w**(-245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*z + 4*w, 7*w + 7 = 2*z + 2*w. Let j be z*(-4)\/(-6) - -2. Suppose p - 4 = 1, 5*t = 2*p. Solve 2*b + t*c + 6 = b, 0 = -5*b + 2*c - j for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8858 or 8745?\nAnswer: 8745","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of 349*l**4\/2 + 1396*l**2 + 2*l - 3369. Find the second derivative of n(q) wrt q.\nAnswer: 4188*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59.886 rounded to 0 dps?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -162*u - 645. List the prime factors of o(-15).\nAnswer: 3, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 29*f**2 + 34*f - 4. Let z(a) = 34*a**2 + 39*a - 4. Let t(h) = 7*y(h) - 6*z(h). Give t(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3*x = 21, 5*r - x + 0 + 44 = 0. Let o(s) = s**3 + 10*s**2 + 9*s + 4. Let m be o(r). Solve -27 = m*f + 5*l, 2*f = -2*f + 3*l - 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**2 + 11*n - 5. Give c(-8).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22) + (sqrt(22) - 2*sqrt(88)\/sqrt(4)) - sqrt(792)*1)\/((3*sqrt(16)\/sqrt(2) + sqrt(8))\/sqrt(4)).\nAnswer: -3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 bigger than 31440?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*(sqrt(65) + -2*sqrt(65)) - sqrt(65)) + sqrt(65) + -6*sqrt(65)*1)*5)\/((sqrt(30)\/sqrt(2))\/sqrt(3) - sqrt(500)*3).\nAnswer: 45*sqrt(13)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 + 1)*(-2*k**4 - 5 + 4*k**4 + 3) - 2*k**4 + 3*k**4 - 2*k**4 in the form v*k**3 + x + y*k + u*k**2 + c*k**4 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10279\/33 + 935\/3. What is the nearest to 2 in -1\/9, y, 1\/4, -5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 6 + (-28)\/10.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3028c4 (base 16) to base 13\nAnswer: -86676b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, 0.4, 5, 362, -3?\nAnswer: 362","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.101, -1, -481\/4?\nAnswer: -481\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.85 - 0.15. Let f = -2.32 - -7.17. Let r = f - -0.15. Which is bigger: h or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 443739.3l?\nAnswer: 443739300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l - 169 = 443. Let u = 75 - 49. What is the remainder when l is divided by u?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 516 is divided by 74?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13020313320 + -2?\nAnswer: -13020313322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 0 (c) 358\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 15826172\nAnswer: 1\/3956543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.7 - -1.6. Which is the nearest to -2? (a) -4\/3 (b) i (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 < 2281\/2252?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 400 + -481.1. Let o = 81 + q. What is the nearest to o in -1\/13, -2\/7, -2?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3454, 26735, 89316, 210655, 410210, 707439?\nAnswer: 1121800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-35 - -19 - (-7 + 1)) + -2 + 21 - 2\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*h + 5*h + 23704. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1758*d**2 - 204 - 2*d - 1758*d**2 - 27*d**4 - 933*d**4 wrt d?\nAnswer: -11520*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 795 + -795. What is the closest to y in 11\/3, 0.08, 5?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 + 2)\/((-456)\/(-380) + (-13)\/(-10)). What is the fourth smallest value in -2, 3, i, 183?\nAnswer: 183","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 19, 27, 35, 43?\n\"Answer: 8*t + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35 - -35. Suppose u = 51*t - 47*t + 260. Let n = 67 + t. Solve g + n = -1 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d*(d*d\/(d\/(d*d**7))*d*d)\/d))\/d)\/(d**(1\/5)*d))**13*((d*d**(2\/19))\/(d*d**0*d))\/(d**(-3)\/d**0) assuming d is positive.\nAnswer: d**(-14867\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + 8*m + 8. Give n(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 0)*(-2*h + h - h) + 5*h - 3*h + 0*h - 4*h + h + h + (-1 + 0 + 3)*(-2*h + h - h) + h - 2*h + 0*h + 10*h - 2*h + h.\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44 and 5800.\nAnswer: 63800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 4. Suppose -2*a = 6 - 2. Let d(f) = 5*f + 3. Let n(r) = 3*r + 2. Let o(g) = 5*d(g) - 8*n(g). Let u(k) = -k**2 + 3*k - 1. Determine a*o(l) + h*u(l).\nAnswer: -l**2 + l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 583 and 5.\nAnswer: 2915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/3*(-2)\/(-4)*-5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 1434.\nAnswer: 2868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (35 - ((0 - 1) + 10))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 312*n**3 - 15*n**2 + 1 wrt n.\nAnswer: 1872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8.5 - -9. Let z = -0.3 + t. Sort 0.5, z, -5 in descending order.\nAnswer: 0.5, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84303 and 17168742.\nAnswer: 2907","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*d**2 - 1978 + 1978 - d**3 + 5*d in the form i*d**2 + c + o*d + a*d**3 and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -582 - -588. Let n(d) = -16*d**2 + 129*d - 6. Is n(k) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of 0*s**2 + 2 - 19\/5*s**5 + 0*s**4 + 13*s + 0*s**3. What is the derivative of a(j) wrt j?\nAnswer: -76*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 60.\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*n = -14*n - 8. Let q be ((-24)\/(-84) - (-3019)\/(-7)) + n. Round q to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 0*m - 10 = 0. Suppose 0 = -m*k + k + 12. Find the common denominator of (k\/(-14))\/(21\/(-595)) and -87\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pjph when four letters picked without replacement from papaapajjaah.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -53 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, 0.18, 5?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.2256 rounded to 2 decimal places?\nAnswer: -4.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43 - -45. What is the third derivative of -13*v**j + 3257*v**6 - 9*v**3 - 4*v**3 + 2 - 2*v**2 - 3258*v**6 wrt v?\nAnswer: -120*v**3 - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 + 1. Let j(y) = -y**2 + y. Let o(w) = -4*w**2 + 3*w + 1. Let x(d) = 3*j(d) - o(d). Let u(f) be the first derivative of x(f). Give l(u(n)).\nAnswer: -4*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 + 19*l + 35 - 12.\nAnswer: 19*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 293, 319, 345?\n\"Answer: 26*b + 267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 41.27, 1, 3\/83, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 64254395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 590\/1652*(-3)\/15*4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 + 6*j**2 + 2*j + 3. Suppose -7*u - 10 = -5*u. Let h(l) = -l**3 - 77*l**2 - 223*l - 43. What is the remainder when h(-74) is divided by o(u)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z - z - 4*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 280 is divided by 111.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -788 - -1274. What is the least common multiple of 2 and s?\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1391*d**2 + d - 3696*d**2 + 573*d**2.\nAnswer: -1732*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**2 + 2*z**3 + 2*z**2 + (z - 2*z + 118*z**2 + 123686 - 123689)*(-2*z - 2 + 2).\nAnswer: -234*z**3 + 2*z**2 + 6*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2254*a - 2251*a + 6*t - 84, 0 = -4*t + 16 for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 4 - (0 + 5 + -8).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 501\nAnswer: 1\/167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus -0.0746?\nAnswer: 1.0746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 419749?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 - 4.5.\nAnswer: -4.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide (-3 - -2)*2*-27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 7, q: 2, l: 2}. What is prob of picking 1 x and 2 l?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -8. Suppose i = 3*q + 14, 7*q = -r*i + 3*q - 24. Put 3, i, -3 in increasing order.\nAnswer: -3, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -3.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xajdxixidcda. Give prob of picking 2 i.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, -3, -2\/9, 5, 3\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 6:20 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000351162 rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-15)\/(-10))\/(6\/56). Let l = c + -11. Suppose k = -5*f + 31 - l, -f - 20 = -3*k. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -64*m**2 + 13*m. Let k(s) = s**2. What is a(k(g))?\nAnswer: -64*g**4 + 13*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 - 4*o - 9. Calculate y(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.2 - 0.8. Which is the third smallest value? (a) 1 (b) -2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - 6*b + 11. Suppose 0 = v - 0 - 5. Is 3 a factor of l(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 1:27 AM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13090 + -2347. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((5880\/2016)\/((-10)\/(-4)))\/(4\/(312\/14))\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -115 by 1885.\nAnswer: -23\/377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 610 and 1570.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 53 and 28673.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32.1 - 35. Let y = l - 0.1. Sort y, -2\/5, 0.3 in increasing order.\nAnswer: y, -2\/5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124496 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: Which is the smallest value? (a) -5 (b) -4 (c) 1 (d) 0 (e) 1\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -43? (a) -0.1 (b) 5 (c) 3 (d) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14\/25 in 8, 1\/1082, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4\/2*5\/(-5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 9) in base 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**2 - 9*x - 32. What is the hundreds digit of u(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-21))\/(-1)*6\/(-4)*2.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**3 + l**2 + l - 4. Let q be p(-4). Is (q\/(-36))\/(2\/6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w + 3*k + 26, -894*w - 141 = -898*w + 23*k for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/(-1)*-6)\/(145 - 144). Let c(w) = -15*w. Let l(t) = t. Give m*l(k) - c(k).\nAnswer: 9*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-112)\/(-20))\/(-7))\/(3 - 4)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 16*w**2 - 11*w - 396. Let l be k(-15). Let y(c) = 9*c**2 + 9*c + 1. Let g(n) = -8*n**2 - 8*n - 1. Calculate l*y(j) - 7*g(j).\nAnswer: 2*j**2 + 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 309021.9 centimeters in kilometers?\nAnswer: 3.090219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3460*f**4 + 437*f**2 wrt f?\nAnswer: -83040*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 0*t + 35 = 5*t, -t - 7 = r. Let d = 4 - r. Let f(g) = g + 5. Is 7 a factor of f(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39.7 * 0.1\nAnswer: -3.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 411562345 to the nearest integer?\nAnswer: 744","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/((-1)\/(-3)))\/(6\/(-162)). Let h = d - -103. Calculate the remainder when 38 is divided by h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -z + 3, -5*z + 4 = 3*b + 7 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lqlquuullmumqqumjlq. Give prob of picking 2 m.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -24, -45, -66, -87, -108?\n\"Answer: -21*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 3*x + 53. Suppose -19*g - 252 = -5*g. Let f be s(g). Let m be (-10)\/2 + f\/((-2)\/4). Let z(k) = k + 4. Calculate z(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -882065088 divided by 48?\nAnswer: -18376356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*u - 2*u. Suppose 0 = 3*l + 3*w - 7 - 11, u*l + 3 = 3*w. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*c + c - 3317*c**6 + 3391*c**6 - 4*c**2 wrt c?\nAnswer: 8880*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 55*f**2 + 26*f**2 + 90*f**2 - 33*f**2 to the form m*f**2 + g*f + b and give m.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 0 - 4 - 5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 2. Let l = -8 - a. Let v be 8\/(-3)*9\/l. Solve -y - v + 3 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 + 8*y**2 + 8*y + 8. Let x be p(-7). What is the remainder when 18 is divided by (-2)\/(-1) + x + 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b = -11*b + 848. Let r = 1664 + b. Is r a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3348735 + -3348734.980499252. Let a = -0.0195 + d. Round a to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - -2 - (-3 - -3) - 8) + -69 + -5?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, 257771 in decreasing order.\nAnswer: 257771, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1960, 2008, 2054, 2098, 2140, 2180?\nAnswer: 2218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -47680038*i**2*q*s*z - i**2*s - 2*i**2*z - 3*i*q*s*z - 99219838*z wrt q?\nAnswer: -47680038*i**2*s*z - 3*i*s*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from owioz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -9856*d + 1. Let a(q) be the first derivative of -q**3\/3 - 7908. Determine s(a(p)).\nAnswer: 9856*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1748*c**2*r**4 - 2*c**2*r - 2*c*r**4 + 76*r**2 wrt r.\nAnswer: 41952*c**2*r - 48*c*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26 - (-37 + -17)) + -52?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1853 is divided by 58?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 99*h**2 - 1280*h**2 + 0.\nAnswer: -1379*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u + 3. Let q be v(5). Solve 2 = -5*h - q for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 9, i: 9}. Give prob of sequence ninn.\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + 0*3\/6. Let m be 288\/(-81) - (-5 + 1). Which is the third smallest value? (a) y (b) 0 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30504112 (base 6) to base 12.\nAnswer: -365038","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (14 + -1 + -33).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -2*z + 3. Suppose 0 = -4*p + 6*p + 32. Let a = 16 + p. Which is smaller: z or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a factor of 47173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -291, -274, -259, -246, -235, -226, -219?\nAnswer: -214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17747 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - (-5)\/(-2))*-2. Let c(t) = 2*t - 8. Let l be c(12). What are the prime factors of x + 1 - l\/(-2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 22 = a, 2*k = 7*k + 23944*a - 23814*a + 390 for k.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (7 - 1)*(-195)\/(-90). Solve -t = -8 + v for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/((3 - 2)*-1). Let o(d) = -6*d - 4. Let s be o(w). Let i = -11 - s. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + 14*d**2 + 14*d + 22. Let r be h(-13). Suppose 18*z - 15*z = -r. Let w(q) = -3*q - 3. Let x(i) = 3*i + 4. Give z*w(g) - 2*x(g).\nAnswer: 3*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233352 is divided by 10601?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 5*j + 4*j + 2 - 5*j. What is the lowest common multiple of h(2) and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f - 15. Let c be l(-8). Is c <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 5*g**2 - 2*g + 1. Suppose 147*i - 144*i - 3*k - 51 = 0, 11*k + 89 = -3*i. What is the remainder when i is divided by s(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 452045406072807 take away -2?\nAnswer: 452045406072809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r**2 + r + 1. Let c(p) = 19*p**2 - 14*p + 1. Let d(i) = -c(i) - 9*w(i). Determine d(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 200*t**3*v**3 - 2*t**2*v**3 + 317*v**3 with respect to t.\nAnswer: 600*t**2*v**3 - 4*t*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 506 and 6808.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12483 - 2.\nAnswer: -12485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2255 + -1292. Suppose 5*i - s = -2*w, 0*i = -i + 5*w + 171. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of 0*n**3 - 3*n**2 + 0*n + 5\/24*n**4 + 4. Let t(z) be the second derivative of c(z). Let d(r) = 2*r**2. Determine t(d(s)).\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -952 by 238.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -51 - -1995e?\nAnswer: 1990d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1781 (b) -2\/9 (c) -2\/3 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p - a - 5, 0 = -22732*p + 22738*p - 5*a - 25 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -342.7307, -12?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i + 5*q = 3*i - 39, 58*q = 8*i + 181 - 579 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -3*k. Let f(l) = -153*l - 177. Let a(w) = -3*f(w) + 12*g(w). What is the derivative of a(h) wrt h?\nAnswer: 423","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 15, 2, -31 in descending order.\nAnswer: 15, 5, 3, 2, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 688313\nAnswer: 2\/688313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, 82, -56, 0.31?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 2:16 AM?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1444)\/(-2) + -2*(2 + 1).\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 0 - 3 - ((-5 - 1) + 10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of -f**7\/140 - f**5\/120 - 2*f**3\/3 - 4*f. Let p(n) be the second derivative of t(n). Find the second derivative of p(u) wrt u.\nAnswer: -36*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x + 12. What is the lowest common multiple of 12 and u(-8)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 54*f**3 - 54*f**2 - 3. Let r(s) = -11*s**3 + 11*s**2 + 1. Let g(i) = -h(i) - 5*r(i). Let t be 6\/(3\/(-12) - -1). Let n = -6 + t. Calculate g(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, l: 2, u: 1, c: 4}. What is prob of picking 1 l and 2 a?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*l + 56151 + 18561 = 0. Calculate the least common multiple of 14 and l.\nAnswer: 15848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 2674710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 2. Suppose w - 2*o = -p*w + 2, 4*o = 8. Suppose -m + w = m. Solve -2*i = -0*r + 4*r, 7 = 5*i + m*r for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83c38 (base 14) in base 12?\nAnswer: -13400a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o**2 - 26*o + 26*o + (2 + 0 - 3)*(-2 - 2*o**2 + 2).\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 21.9 and 544.4.\nAnswer: 11922.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 + 73)*23606\/(-13024)?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 1 + -3 + -2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d**3 + 25*d**2 - 4*d + 2. Does 57 divide r(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j**3 - 6*j**3 + 2*j - j - 2*j**2 + 4*j**3. Give x(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3132979.\nAnswer: 3132979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8715510 and 35442.\nAnswer: 95870610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -37837 - -37869. Solve -l = 14*r - 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6859 - -6861. Let m(g) be the first derivative of -2\/9*g**3 - 7 + 4\/3*g**y - 8\/3*g. Solve m(p) = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 + -10. Find the third derivative of -4*b**6 - 17*b**2 - 3*b**d + 5*b**6 wrt b.\nAnswer: -240*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 765*j**3 - 39*j**2 + 80*j - 1. What is the hundreds digit of x(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*v = -30*v - 495. Let i be (-624)\/6*2\/4. Let f = i - v. Let g(p) = -p**3 + 3*p**2 - 4*p. Give g(f).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 873, 853, -41, -1809, -4451, -7967, -12357?\nAnswer: -17621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 39325 equal to 39333?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 158893 to the power of 1\/2, to the nearest integer?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g - 4*w - 12 = -5*w, -12 = -3*w for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 1 + 2*z**3 + 5*z**2 - z**3 + 1 - 14*z - 3. Suppose 0*u + 2*u + 34 = 2*h, -3*h + 2*u + 46 = 0. Calculate the remainder when q(3) is divided by h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3382991815 to the nearest integer?\nAnswer: 1501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1148833860 to the power of 1\/3, to the nearest integer?\nAnswer: 1047","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 + 77. Let a = 111 - i. What is the greatest common factor of a and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.1474 - -0.1474. Which is the third smallest value? (a) -5 (b) -2 (c) 4 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 478*f**2*t**5 - f**2*t + f*t**3 + 2*f*t**2 + 15*t**3 + 583*t**2 + 3 wrt t.\nAnswer: 28680*f**2*t**2 + 6*f + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + 1)\/(1\/2). Let r be (5\/15)\/(z\/(-18)). What is the second derivative of q - 2*q + 3*q - r*q**4 wrt q?\nAnswer: -36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + t - 2*t)*(-3 - t**2 + 3 + (3 - 5 + 3)*(-3 + 3 - t**2)) + 22*t**3 + 16*t - 16*t + (-t**3 + 7*t**3 - 3*t**3)*(-1 + 0 + 3).\nAnswer: 34*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 15 + 95 = 0. Let h = -26 - -56. What is the remainder when h is divided by x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.21787 times -0.044\nAnswer: 0.00958628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 16425.2 and -0.7.\nAnswer: -11497.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(132)*-1 + sqrt(132))\/(sqrt(1200) + 2*sqrt(1200)))**2 + ((sqrt(1331)*-3 + sqrt(1331))*5*-6)**2.\nAnswer: 4791600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4158 (base 10) to base 11.\nAnswer: -3140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 48\/5, -1\/9, 28, -3 in ascending order.\nAnswer: -3, -1\/9, 48\/5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 + -11. Let y = m + -5.6. Sort 6, y, -4 in increasing order.\nAnswer: -4, y, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 98, -3 in descending order.\nAnswer: 98, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 662 + 143 = 7*m. What is the greatest common factor of m and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*w + 59 = 366 + 254 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(297)\/sqrt(81))\/(sqrt(539)*-3 + sqrt(11)).\nAnswer: -sqrt(3)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j - 74 = -2*s, -3*s + 8*j + 128 = 13*j. Solve 0 = -s*p - 19*p + 300 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2323287019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*f**3 + 2*f + 12*f**3 + 7*f**3 + 3*f**2 - 27*f**3 as h*f**2 + s + b*f + n*f**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 1067 = -4*r + 1011, 527 = r + 3*w. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ujjj. Give prob of sequence ju.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 13801082, 13801083, 13801084?\n\"Answer: k + 13801081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 569*m - 2028 + 260 = 4491 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of 29*q**4\/6 + 3*q + 141. Let j(s) = 1. Let m(u) = -u - 2. Let p(l) = -4*j(l) - 2*m(l). What is v(p(h))?\nAnswer: 232*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 3 - 0, 0 = -5*n - w - 103. Let v be 36*(3 + n\/8). Is 9 a factor of (2\/(-4))\/((-1)\/v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5011*j - 10347*j + 5334*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -5 (c) 0.3 (d) -0.4 (e) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(((n*n**(2\/19))\/n)\/n))**(-1\/48))**(3\/2) assuming n is positive.\nAnswer: n**(-9\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = 189*y - 186*y + 3, 6 = -2*g - 4*y for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10091368?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2. Let w(v) be the first derivative of 204 + 11\/3*v**3 + 0*v**2 + 0*v. Give w(s(p)).\nAnswer: 11*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 4:28 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -707743, -707746, -707749, -707752, -707755, -707758?\n\"Answer: -3*x - 707740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32591 or 24977?\nAnswer: 24977","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**2 - 75096*w.\nAnswer: 4*w*(w - 18774)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.78825657 rounded to 1 decimal place?\nAnswer: -5.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -3*r + 3*z, -6*r - 4*z + 52 = -13*r - 8*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1544945172 to the nearest integer?\nAnswer: 39306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 56 = -1. Calculate the highest common factor of f and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1251\/5 > -251?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(24)\/sqrt(12)*-1 + ((sqrt(20)\/(3*sqrt(10)))**2 - (sqrt(18) + -2)).\nAnswer: -9*sqrt(2) + 20\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.9? (a) 0.04 (b) -5 (c) -73 (d) -5\/8 (e) 0 (f) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -3.1. Let v = 39 - 41. Which is greater: v or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of b**3\/3 + 12. Let x(u) = 32*u. What is z(x(l))?\nAnswer: 1024*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 46 and 5750.\nAnswer: 5750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (4 - -4) - (0 - -1) - -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(675) + -2)*5 + sqrt(675) - sqrt(675).\nAnswer: -10 + 75*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 95, 0.2, -4\/7, -7, 226?\nAnswer: 226","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 146275 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-13)\/(-4) + 2\/(-8). Let p be -2 - -1 - 2\/(-1). Let r = p - j. Sort -5, 2\/5, r in descending order.\nAnswer: 2\/5, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 3771 (b) -2\/3 (c) 6 (d) 3 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3259 - -342191\/105. Is -1 < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -4.82 (c) -1.02 (d) 0.5 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1912 + 1950. Calculate the remainder when 151 is divided by k.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 4:56 PM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49, -3, 1, -2, 2 in ascending order.\nAnswer: -3, -2, 1, 2, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of -77*v**5\/60 + 28*v**3\/3 + 65*v**2. Differentiate h(p) wrt p.\nAnswer: -154*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8295593 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: b\"What is the mth term of 1329369, 1329372, 1329375, 1329378?\n\"Answer: 3*m + 1329366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 0.14?\nAnswer: -0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of -m**5\/270 + m**4\/108 - 12*m**2. Factor h(q).\nAnswer: -2*q*(q - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -6*k - 34. Let t be j(-7). Solve 0 = 2*b - 0 + t for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of -8\/3*p**3 + 12*p**2 - 1\/3*p**4 + 0 - 1\/60*p**5 + 0*p. Find q, given that a(q) = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 + 18*t - 75. Let s be f(11). Solve -6 = 4*d - 3*j, -13 = 7*d - s*d - j for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 95 and 1043385.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 113 + -165. Let f = n + 52. Let x = -0.9 - 0.1. Which is the third biggest value? (a) 5 (b) x (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-4\/9)\/w)\/w*w*w\/w**1*(w**1)**(-16))\/((w**(-5)\/w*w*w**2*w)\/(w**(-1))**14) assuming w is positive.\nAnswer: w**(-265\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*1 + (10 - 14).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 14*k**2. Let h(p) = p**2 - 7*p - 1. Let u be h(8). Let m(o) = -2*o + 2*o - u*o**2 + 8*o**2. Calculate m(r(n)).\nAnswer: 196*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -5, -0.2, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of -41*y**3\/6 - y**2 + 6*y. Let h be z(-1). Is 33 a factor of 23680\/130 - (12\/h)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + 5*d - 4. Let t be 245\/175 - 6\/(-10). Give h(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + 19*x**2 + 5*x + 94. Calculate k(-19).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-402)\/(-14) - (-4)\/14. Suppose -602 = -14*b - 154. Suppose b*m = i*m + 282. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 j when two letters picked without replacement from owaowwowoaawwjojoow.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -18.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 4*y. Let z(t) be the third derivative of 0*t**3 + 5*t**2 + 1\/24*t**4 + 0 + 0*t. Give i(z(p)).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 42? (a) -0.4 (b) -0.47 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-3))\/(1\/(-261)). What is the tens digit of j\/9 - (-4)\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 2 b, and 1 s when four letters picked without replacement from {b: 4, x: 3, s: 2}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 9:45 AM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -234 - -5. Let g = 226 + n. What is the second biggest value in g, 15, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -3*r - 3. Let o be g(-2). Let w = o + 7. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 38*z - 15 - 36. Solve 0 = 2*h + 4*p - 2, 2*p + 4 = -5*h + z for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -d - d. Does 5 divide (-105)\/d*(-4)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/1769 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((5\/15)\/((-15)\/(-9)))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) -3 (c) -1450 (d) -1895 (e) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42 by -45.\nAnswer: -14\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 337 - -128. Suppose -f - r - 7 = -99, -5*f - 4*r = -h. What are the prime factors of f?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90948 divided by 90948.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -8, 5, 10, 1, -2 in ascending order.\nAnswer: -8, -2, 1, 4, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 16\/(-36)*15\/20. Let r = -18 + 14. What is the fourth smallest value in r, -0.4, s, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1176 - 391. What are the prime factors of b?\nAnswer: 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 26802314.33105 and -2.\nAnswer: 26802312.33105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/2 + -2)*0\/(-5). Let s be 4 + (4 - (-2 - c)). Solve 5*j = s, 5*y + 2 - 5 = j for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -142 (base 5) in base 6?\nAnswer: -115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of 0 + 0*v**2 + 1\/2*v**3 + 68*v. Let h(k) = -45*k**2. What is o(h(z))?\nAnswer: -135*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -13.4. Let u = 4.8 + y. Round u to 0 decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3529 a factor of 32221070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, p: 1, u: 9, y: 3}. Give prob of sequence yp.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 + -34. Let i be 2\/y + 1\/(-5). Let m = 1\/15 + i. Which is the smallest value? (a) m (b) -1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 - j. Let g(z) = -z**3 + 4*z**2 - 12*z + 29. Let n(b) = -g(b) + y(b). Let w be n(4). Sort -16, w, -4 in descending order.\nAnswer: w, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 425.4174 litres to millilitres.\nAnswer: 425417.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 7\/4 (c) 438 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 190, 1060, 3354, 7786, 15070, 25920?\nAnswer: 41050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -p**5\/6 + p**4 - 4*p**3\/3 = 0.\nAnswer: 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2848284 divided by -158238.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 + 10*w - 15. Let h be s(12). Let z = 334 + h. Suppose -4*y + 113 + z = 0. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 2.2824697\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**2 + 47348*k = 0.\nAnswer: 0, 47348","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 307 - -213. Calculate the remainder when u is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 636292 is divided by 127257.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/6)\/(q**1*q)*((q*q**(1\/3))\/q*q)\/q*q**(-1\/3))**(1\/25) assuming q is positive.\nAnswer: q**(-13\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 103366415 - -5?\nAnswer: 103366423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.206503 to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = r - 0, -5*r = -3*w + 13. Suppose w*l - 185 - 355 = 0. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**2 - 11*o + 28. Let u be a(-7). Solve -36 + 1 = -u*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7412 divided by 6.\nAnswer: 3706\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1700 and 182968025.\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-8) + (-420)\/96\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from jcjmyjyjjyy?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of o**4\/12 + o**3\/6 - 5*o**2 + 188*o. What is s(-8)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 + 11*f - 8. Let j be x(9). Suppose -j = -2*y - 3*y. Solve y*s - 1 = 4*p - 17, -2*p = s - 12 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 - 6*r - 65. Calculate the remainder when 42 is divided by o(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 - 2*m - 3. Suppose c + 54*r - 53*r - 9 = 0, -c = 4*r - 21. Let s(q) = q + 1. Determine c*s(i) + l(i).\nAnswer: i**2 + 3*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 10*m - 20. Let w(l) = 3*l - 7. Determine -6*v(c) + 17*w(c).\nAnswer: -9*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -2*z + 41938, 3*v + 4*z - 31025 - 446 = 0. Is 21 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**2 + 3*a**2 - 4*a**2)*(-2*a**3 - 2 + 2) + a**4 - a**4 + 2*a**5.\nAnswer: 6*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 91349?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/5)\/(66\/(-55))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/1340550657 - 32516843582147\/2858054000724. Let v = 21\/533 - u. What is the common denominator of v and 77\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of -b**3\/6 - b**2 + 2*b. Let a be d(8). Let y(c) = c + 12. What is the smallest common multiple of 11 and y(a)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -0.6641694.\nAnswer: 0.6641694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 832 is divided by 141.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, w: 6, f: 1, h: 5}. What is prob of sequence hw?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of 172*w**7\/35 + 19*w**4\/12 + 1290*w**2. Find the second derivative of r(g) wrt g.\nAnswer: 12384*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 + 6*f + 21*f + 14 as u + s*f and give s.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1473 + -1476. Is -41\/22 > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -48 - 237. Let l be 6\/8*2 + t\/6. Solve 9*o + l = 4*o - 2*x, -o - 4*x = -5 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/8304 and 1\/144.\nAnswer: 24912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 444*z**2 - 37*z. Let s(y) = 12*y**2 + 10*y + 24*y**2 + 11*y**2 - 13*y - 10*y**2. Let b(r) = -3*g(r) + 37*s(r). Let v(x) = -4*x**2. What is b(v(i))?\nAnswer: 592*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = i, -2 = 4*i - 2*g + 7*g. Suppose u - 8 = -2*r, 3*r - i*u + 3*u - 10 = 0. Suppose x = -r*x + 24. Does 8 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36617*v**2 + 36603*v**2 + 36608*v**2 - 109825*v**2.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -100010111000110010011 (base 2) to base 7\nAnswer: -12500623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of 0*o**3 + 0*o**2 + 0 + o - 1\/4*o**4 - 2\/5*o**5. What is the third derivative of z(s) wrt s?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46.7 - 20.7. Sort 7, 5, n.\nAnswer: 5, 7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-4)*1 + 1. Let m be -1 + (35\/4)\/5. Let n(l) = 4*l**2 - 28*l - 179. Let o be n(11). Put h, o, m in increasing order.\nAnswer: o, h, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -606*m**2*r**6 + 21*m**2 - 12*m*r**6 - 61*r**2 wrt r.\nAnswer: -72720*m**2*r**3 - 1440*m*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20456212*l**3 - 40912412*l**3 + 20456206*l**3.\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 116 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 79*t - 10167. Determine r(125).\nAnswer: -292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 5 - 3 = 0. Suppose 3*y + 35 = -p*y. Let x be (-2)\/y + 6\/(-21). Solve -4*q - 4*n + 20 = x, 0 = 5*q + 2*n - 4 - 18 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4418406, 4418584, 4418764, 4418946, 4419130?\n\"Answer: p**2 + 175*p + 4418230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*(274\/(-24) - -11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g**3 - 4*g**2 + 4*g + 4. Let h(v) be the first derivative of v**4 - 5*v**3\/3 + 5*v**2\/2 + 5*v - 10. Calculate 4*h(n) - 5*j(n).\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of l**4\/8 - 7*l**3\/4 + 15*l**2\/2 + 18*l. Factor z(q).\nAnswer: 3*(q - 5)*(q - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, -0.6, 0, 1?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(75) + 3)*6 - (sqrt(882) - (sqrt(882)*3 - sqrt(882)))\/sqrt(6)) + 3)*2.\nAnswer: 42 + 74*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of -2*r**6 - 576*r**5\/5 + 1185*r**4\/4 - 249*r**3 + 75*r**2 + 750. Solve o(d) = 0.\nAnswer: -50, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.4, 3, 4, 6\/11 in ascending order.\nAnswer: 0, 0.4, 6\/11, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 3506610?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 3. Let j be 2\/(-1 + 3) + 3. Suppose -y*g + 12 = -j*g. Is g not equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3270 and 10?\nAnswer: 3280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n + n + 79*n**2 + 4*n.\nAnswer: 79*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4*k = -200 - 106, 4*c = -k + 1241. Calculate the highest common divisor of 186 and c.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -889? (a) -4 (b) 3\/7 (c) 2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*o**3 - 3712*o**2 + 32822*o.\nAnswer: -42*o - 7424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 34\/4)*(9\/3)\/57\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 5 = -p, 3*r - 3*p - 2 = 4. Let t = 27 - 24. Suppose -y + t - 6 = 0. Put y, r, 4 in decreasing order.\nAnswer: 4, r, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1161 or 0.304?\nAnswer: 1161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 628.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1 and 0.369443?\nAnswer: 0.269443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4450 - 693 + 511*g**3 - 2212 - 2*g**4 wrt g?\nAnswer: -8*g**3 + 1533*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 9:34 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 35 - 57*(-3)\/(-9). Solve -4*p - q = -3*p + 4*d, -5*p - 17 = -d for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011011011001000001101 + -101?\nAnswer: -1011011011001000010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 1632 = -540. Is 13 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (-3 - (0 - 0) - -11)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 6}. Give prob of sequence wwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 426170 to the nearest one thousand.\nAnswer: 426000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1*((sqrt(171) - sqrt(19)) + 0)*2 + 2 + (sqrt(2736) + 2 + 2 - sqrt(2736))).\nAnswer: -8*sqrt(19) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 666 a factor of 11162160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4048, -3915, -3672, -3319, -2856?\nAnswer: -2283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 5 + 2*v)*(-14 + 105 + 103 + 124) to the form g*v + d and give g.\nAnswer: 636","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*s**4 + 6139*s**2 - 11*s - 2033745 with respect to s.\nAnswer: 8*s**3 + 12278*s - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 51 - 40. Suppose 2*r = -w + q, 2*w - 14 = r - 3*r. Find the first derivative of -m**4 + 7 - 3*m**4 + w + 6*m**4 wrt m.\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1822 a factor of 254287430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33 - -33. Suppose c = -23*w + 69 + 207. Solve 0 = 4*n - n + w, o - 7 = 3*n for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8549*x**6 + 5*x**4 + 2*x**2 - 38736*x?\nAnswer: 1025880*x**3 + 120*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 470 and (6 + 28\/(-8))*4512\/30?\nAnswer: 1880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1237184131 to the power of 1\/2, to the nearest integer?\nAnswer: 35174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*n**2 - 23*n**2 - 2 + 61*n**2 - 29*n**2.\nAnswer: -19*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(363) + (sqrt(363) - -3*(-1 + sqrt(363))))*-4)**2 - (-1*((sqrt(363)*2 - sqrt(363)) + 0))**2*5.\nAnswer: -84480*sqrt(3) + 2323689","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 13*o**2 + 13*o - 8. Let n be m(12). Suppose n*r + 0 = 8. Is r + (-2)\/((-2)\/21) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(1972\/(-22355)))\/(-3 - 2) + -9?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 471\/439 at least 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -163 divided by 6?\nAnswer: -163\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126740*v**3 + 127425*v**3 - 253019*v**3.\nAnswer: 1146*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -57094a - 469?\nAnswer: -5711b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from {u: 7, r: 7}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g**3\/8 - 443*g**2\/8 + 6105*g + 12321\/2 = 0. What is g?\nAnswer: -1, 222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - i + 0*i)*(-39 + 117 - 1479*i - 78).\nAnswer: 2958*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1303 + 1305 + (-1 - -15)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 10 = -0*w + w, -5*w - 2*g = -16. Suppose -w*z + 4 = -16. Let y(a) = a**2 - 5*a - 6. Determine y(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -4 + 2 + 3 + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 10, 17, 26, 37?\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 206911284?\nAnswer: 2, 3, 17, 59663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 2*a = 4*c + 45, c + 4*a = 45. What are the prime factors of c\/(-15) - (0 - (-3 - -512))?\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 901 - 5?\nAnswer: 8fc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-5*sqrt(1584)*2)**2 + (sqrt(165)\/(sqrt(5)*-2))\/(-4*sqrt(9)\/sqrt(3) + sqrt(3)).\nAnswer: sqrt(11)\/6 + 2534400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137*m = -142*m + 930. What are the prime factors of m?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -120, -562, -1326, -2412, -3820?\nAnswer: -5550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -47686 + 47654.0168. Let l = w + 32. What is l rounded to three decimal places?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4\/141 + -71\/846. Are m and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 686*a**5\/5 + 67620*a**4 + 8360688*a**3 + 7133216*a**2 + 2034912*a + 968256\/5.\nAnswer: 2*(a + 246)**2*(7*a + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -160? (a) -5 (b) -0.1 (c) -0.2 (d) -102\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + 66. What are the prime factors of (-19)\/u + 1005\/4?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 21*n**2 + 3*n + 1. What are the prime factors of x(-2)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1222 + -3.1222. Let d be 2*-3*1\/2. Let s = d - -3. What is the third smallest value in 1\/5, s, k?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.11015329 to 3 decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 2)\/(((-1)\/(-5))\/1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 0.146\nAnswer: -0.073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 68996, 71422, 75458, 81098, 88336, 97166?\n\"Answer: -p**3 + 811*p**2 + 68186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q - 5. Let k be s(-6). Let w be ((-4)\/(-24))\/(k\/2). Let r = 4.4 + -4. What is the closest to w in 4, r, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 11 - 17. Let q be (2 - j)\/1 - 0\/1. Suppose -3*t - 20 = -2*x, -x - 4*t = 2*x - 13. Solve 5 = q*y - x for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3 = -25. Suppose -19*j = -17*j - z. Calculate the greatest common factor of j and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**3 - 6*y**3 + y**3)*(-4*y + 1 + 4*y - 3*y) - 10*y**2 + 7*y**4 + 3*y**4 - 8*y**4.\nAnswer: 8*y**4 - 2*y**3 - 10*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4527 + 2?\nAnswer: -4525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44*y**2 + 53 - 53)*(-y**3 - 2*y**3 + y**3).\nAnswer: 88*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 18431 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2282 a factor of 21521542?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11.39 + -0.59. Let v = u - 54.9. Let c = v - -44. What is the smallest value in 0.1, c, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 163826628, 163826631, 163826634, 163826637, 163826640?\nAnswer: 163826643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-2)*(3 + 12). Does 4 divide 70\/8 - f\/(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4976 bigger than 4976?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 11:43 PM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 8 + 41. Let t(l) = 48*l + 3*l**2 - 97*l + w*l. Let u(z) = 2*z**2. Calculate u(t(v)).\nAnswer: 18*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3976*y + 45. Is o(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -130934 to the nearest one thousand.\nAnswer: -131000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1883 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -5*n + 636. What are the prime factors of n?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1895939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 0.75, 2, 2\/3, -13, 3 in decreasing order.\nAnswer: 3, 2, 0.75, 2\/3, 0.3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 8ac6130?\nAnswer: 8ac612a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 17081.9 to the nearest 100.\nAnswer: 17100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*h - 7*h + 12 = -5*a, -4*a - 11 = 3*h for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (9\/(-12))\/((-24)\/(-192)) + -3 + 2. Let q(c) = -11*c - 75. Determine q(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -728 = -50*c - 41*c for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 - ((-24)\/(-9))\/1. Which is the nearest to -2\/5? (a) -1 (b) 3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 96 and 257552.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.1, -1\/2, 0.811 in ascending order.\nAnswer: -1\/2, 0.1, 0.811, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 292*k - 569*k + 279*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.065124 * -0.07.\nAnswer: 0.00455868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2545 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38 + 38.059. Let q = i - -7.341. Let v = 7.39959 - q. What is v rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-22)\/6 - (-14)\/21. Let i = u - -19. What is the highest common factor of i and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p + 66 = -p. Is 20 a factor of ((-1076)\/p)\/((-40)\/(-60))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3312960 divided by 236640.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 7:08 AM?\nAnswer: 3:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -36703539423 + -0.5\nAnswer: -36703539423.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*k**2 - 109*k**2 + 5*k**2 + (-5 + 2 + 2)*(k**2 - 3*k**2 + k**2) as x + r*k**2 + n*k and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 + 11*v - v**3 + 11*v - 21*v. What is z(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, y: 5, v: 1}. Give prob of picking 1 y and 1 v.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 87.9 + -87.5. Suppose 0 = -2*n + 3*n - 3*l - 14, -l + 4 = 4*n. Suppose -3*u = -25 - n. Is f < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1712876121 to the nearest integer?\nAnswer: 1196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (a + a**2 - a + (0*a + 0*a - a)*(-86*a + 584 - 584))*(-2 + 2 + 1) in the form o*a + x + w*a**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.2 (b) 0.5 (c) -0.5 (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 74, 178, 294, 422, 562, 714, 878?\n\"Answer: 6*h**2 + 86*h - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 + -0.1. Let z = j - 0.3. Let s = 2.962 - -0.038. Sort z, s, 4\/5 in increasing order.\nAnswer: z, 4\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -472, -1, -3, 144, 3\/4.\nAnswer: -472, -5, -3, -1, 3\/4, 144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 j when three letters picked without replacement from {r: 3, u: 3, j: 5, a: 9}.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10588656 and 4683444.\nAnswer: 243539088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 1 - 3) + (-11 + 65 - (158 + -102))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2976*y - 215256 = -51576 for y.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 32\/5 of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2858, -5715, -8572, -11429?\nAnswer: -14286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219*h - 4902 - 1298 = -91*h for h.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 1, -3, 31, -2\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 432 divided by -108.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27 - -30. Solve -2*t + 5*q + 12 = u*q, 4*q = t - 12 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 + 5*p**2 + 9*p - 1. Let c be z(-4). Let s = -18 - c. Calculate the least common multiple of 11 and s.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c**3 - 5*c - 41. Let v(k) = -k. Determine -r(m) + 5*v(m).\nAnswer: 2*m**3 + 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 5) in base 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-6)\/(-8)*(-2800)\/(-100))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1976789 is divided by 466.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (12\/132)\/(1\/9) and ((-59)\/(-6) - -1) + -1.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6*1\/((-14)\/(-21)). Suppose -3*r = 2*g + 5, -r + o*g = 5*g + 11. Put 3, 0, r, -41 in decreasing order.\nAnswer: 3, 0, r, -41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 + 26. Determine u(0).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 14*u**2 - 4*u - 32. Let m be z(13). Suppose -w + m = -2*o - 2*o, -134 = -2*w - o. Calculate the remainder when w is divided by 37.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -61 - -63. Suppose g*r - 121 + 115 = 0. Let c(z) = -z**3 + 2*z**2 - 2*z + 2. Determine c(r).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/t**(-2\/21))**48\/(t**0)**6)**(-2\/85) assuming t is positive.\nAnswer: t**(-1408\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 144601800?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*h + 0*h - 4*h - 2 + (0 + 9 - 6)*(-h - h + h) to p*h + b and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 74068992 a multiple of 348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 7 + 3. Suppose 0 = 3*q + 5*p + 9, 4*q + 5*p + 3 = -i. Suppose 6*j - j + 51 = -q*r, 4*j = 3*r - 50. Is j smaller than -23\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.16 - -0.16. Let z = 970 + -969. Suppose 8 = 4*x - 2*b, -2*b - 6 - 6 = -5*x. What is the nearest to z in -0.4, x, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.367094 to 2 dps.\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - (4 + -1)) + (-6 - -1) + -5.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201 is divided by 39.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-3 - -6 - -4) - 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -201?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1831886 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27401 - 31293 - 22018 = -979*g + 27935 for g.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6234 = -i - 2064. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/3 - ((-24)\/(-18))\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119 = -3*j + 479. Does 24 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37677000 rounded to the nearest 100000?\nAnswer: 37700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -8*t**3 + 8*t**2 + t - 2. Calculate o(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*l + 0*g - 4*g = -22*l - 2, -16*l + 4*g - 20 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1966 + -1980 + 6*1 + 1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -684 (base 10) in base 2?\nAnswer: -1010101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*a - 195 = -69. Solve -31 = -5*v - a for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1\/2, 1707.892, 0.06.\nAnswer: -5, -1\/2, 0.06, 1707.892","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, 103 in descending order.\nAnswer: 103, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1004 and 659020.\nAnswer: 165414020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184332583.\nAnswer: 184332583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 21824106 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -71, -2\/7, -3, -15, 0.3, 0.4 in decreasing order.\nAnswer: 0.4, 0.3, -2\/7, -3, -15, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of 1837*g**2\/2 - 436. Let c(n) = 2*n. Determine c(i(p)).\nAnswer: 3674*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7 take away -0.2536?\nAnswer: 1.9536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/5 + 1372\/(-70). Let l = k - -18. Is 0 not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20139 + -20076. Solve -41*x - 88 = -m*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.28 * -79302\nAnswer: 101506.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 11548\/77, 228 in descending order.\nAnswer: 228, 11548\/77, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1233.\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7597 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 59*r**3 - 2*r**2 + 5*r + 18. Let x(a) = 89*a**3 - 3*a**2 + 7*a + 26. Determine 7*f(c) - 5*x(c).\nAnswer: -32*c**3 + c**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -11065664.496 rounded to the nearest one thousand?\nAnswer: -11066000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 52 = -5*k. What is the third smallest value in -5, k, 0.023?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11830 divided by 5\nAnswer: -2366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 103372 divided by -2304.\nAnswer: -25843\/576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007181422 to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/6 of a minute?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.149? (a) -1 (b) -0.2 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + -3 + 6 + -3. List the prime factors of (-86)\/(-10) - h\/(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 489 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of 0 + 0*d - 7*d**2 + d**3 + 1\/24*d**4. What is the units digit of n(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 - 8*v**2 + 88*v + 9. Give j(-14).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 643378?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4*t = 0, 4*c - 2*t + 5 = -7. Let m be c - (-3)\/(-12)*4. Let k = m + 13. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -85991, -343932, -773821, -1375658, -2149443?\nAnswer: -3095176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0599598 rounded to three decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 + 7*k. Let f(o) = 2*o**2 + 16*o. Let i(v) = -3*f(v) + 7*q(v). Let r(z) = -2*z**2 - 5*z. Calculate 6*i(d) + 2*r(d).\nAnswer: 2*d**2 - 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e + -34?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6\/8 - (28 - 10)\/18\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 7*y + 41. Is r(15) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**33*k**(-16))\/((k\/k**(-40))\/k)**(-27) assuming k is positive.\nAnswer: k**1097","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*g)*(4*g + 3 - 3) + (-2*g + 0 + 0)*(-2*g + 0*g + 4*g) + g**2 + 1 - 1.\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 6:31 PM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -7, -18, -6 in increasing order.\nAnswer: -18, -7, -6, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 3*a = 3 + 39, 3*i - 32 = 5*a. Let r be 3\/i + 2\/(-6). Let l(u) = u**3 - 5*u**2 + 7*u - 4. Let v be l(4). Solve 2*t = -r*t - v for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 988 and 1014?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + 0 + 0)*(1 - 1 + 2) + (-1 - 3 + 9)*(-56*k - 34*k - 24*k) - 3*k + 3*k + 3*k.\nAnswer: -563*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 215 and 430?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 23 = -0*x + 5*s, -15*x + 5*s = -48*x + 1012 - 1238 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3393?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 45. Let m(v) = v + 225. Give -11*l(y) + 2*m(y).\nAnswer: 2*y - 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 221 + -611260?\nAnswer: -611037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101000010020000 (base 3) to base 5.\nAnswer: -2330114014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zsnkonkkkkzkzkkzn. Give prob of sequence zok.\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -278*b + 22 = -276*b for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -257555*z**3 + 13*z**2 - 257631*z**3 + 515178*z**3.\nAnswer: -8*z**3 + 13*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1030082431 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 7) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -457\/2 + 233. Sort -4, d, -2\/7 in decreasing order.\nAnswer: d, -2\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 50135, 100245, 150335, 200405, 250455, 300485, 350495?\n\"Answer: -10*z**2 + 50140*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-1440))\/(3\/12)*1\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2807, -5620, -8447, -11294, -14167?\n\"Answer: -t**3 - t**2 - 2803*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i**2 + 34*i + 10. What are the prime factors of j(14)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, q: 1, d: 1, j: 1, p: 2, f: 1}. Give prob of picking 2 p and 1 d.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 2*h + 86. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ezrn when four letters picked without replacement from {e: 2, i: 6, n: 1, r: 4, q: 3, z: 2}.\nAnswer: 1\/4590","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 960 and 10?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 5*i**2 - 2*i + 1. Suppose -3*f - 38 = -3*v + 46, f + v + 22 = 0. Let m = -29 - f. Let x be -4 - (-1 + m + -4). Determine d(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1533890295.\nAnswer: 3, 5, 7, 67, 72679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/7)*c)\/(c**(3\/2)*c)*c**(-2\/77)*c\/(c**(2\/39)\/c))**32 assuming c is positive.\nAnswer: c**(26896\/3003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sys when three letters picked without replacement from {y: 4, s: 3}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/2*(-8)\/(-10). Suppose -d = y*d + 15. Let o be (d\/3)\/2*-8. Solve -4 = -2*i - o*p, -4*p + 35 = -5*i + p for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.01, 0.3, -2\/5, -2\/3, 89?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 5*n - 2. What is the remainder when 274 is divided by r(5)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34.885 - 35. Let v = n + 0.1162. Let k = v + -0.02. What is k rounded to 3 decimal places?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-18 + (-2 - -4))*1\/(-2). Suppose -15 = 3*s - t*s. Let r(j) = -2*j + 4. Give r(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 58944 and 768?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/3, 2, 0.1, -0.342, -114, 15, 4?\nAnswer: -114","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 52.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8371\/712 - -34\/89. What is the common denominator of -107\/14 and h?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 360?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 4*m**3 + 863*m + 5. Let r(z) = -6*z**3 - 1294*z - 7. Give 7*d(l) + 5*r(l).\nAnswer: -2*l**3 - 429*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + 4*x**2 - 32*x - 118. Let y be p(-6). Solve 0 = -4*t + y*t - 3*i - 19, -5*i = 15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + m + 17 = 0, -3*m - 4 = 2*k + 7 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of 65*m**9\/504 + m**8\/28 + m**6\/40 - m**5\/60 + 111*m**3\/2 + 9355*m**2. Find the third derivative of p(g) wrt g.\nAnswer: 7800*g**3 + 720*g**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 19.044 (b) -6 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, 3, 1\/237?\nAnswer: 1\/237","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 3*l**4\/2 - 12*l**3 - 18*l**2 + 120*l + 192 = 0.\nAnswer: -2, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 89\/7 + -965\/77. Let j = 1.5 + -1.4. Put -17, z, j in descending order.\nAnswer: z, j, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w - 16. Let x(m) be the third derivative of -m**4\/24 + 5*m**3\/2 + 33*m**2 - 7. Calculate 4*o(h) + 5*x(h).\nAnswer: -h + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 4*o + 2*o = -3*u + 11, 0 = 26*u - 3*o - 14 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -131*p - 1077. Calculate m(-10).\nAnswer: 233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-7) + (-8)\/28 - -1134. Let t = d - 775. What are the prime factors of t?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(3000) + sqrt(3000) + 2*sqrt(3000))\/(sqrt(96)*1))**2.\nAnswer: 4500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.5, -1, -4, -9 in ascending order.\nAnswer: -9, -4, -1.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - k + 9, 4*c = -k + 76 - 53. Solve 0 = c*r - 0 + 28 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of 6*w**4 - 5*w**3\/3 - w**2\/2 - 26*w + 518. What is the second derivative of p(a) wrt a?\nAnswer: 144*a - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25453060 rounded to the nearest 1000000?\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1450722 to the power of 1\/3, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 82243665 a multiple of 3297?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -15*m**2 - 5. Let p(c) = -14*c**2 - 4. Let j = 31 + -27. Let n(g) = j*a(g) - 5*p(g). Let k(q) = -q**2. Give k(n(u)).\nAnswer: -100*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - -1. Let s(v) = -4*v**2 - 4 + l + v**2 + v**3 - 3*v. Calculate s(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.03? (a) -1 (b) 0.07 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7725433126 rounded to 5 decimal places?\nAnswer: -0.77254","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a kilometer in centimeters?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 37586.1 and 0.2.\nAnswer: 37586.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 396 and 450.\nAnswer: 9900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 73\/153 + -10\/17. Which is the nearest to -2\/3? (a) w (b) -4 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of -22*b**5\/5 + b**4\/6 + b**3\/6 - b. Suppose 0 = 5*u - j + 4, -5*u + 6*u + 4*j = -5. Is v(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - ((-167 - -152) + (1 - 8)) - 3.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -7. Suppose -f*o = o - 8. Suppose c - 5*z - 5 = 9, o = -2*c - 5*z. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -26. Suppose -5*x = -a, -3*x = 4*u - 8*x - 1504. Let v = 731\/2 - u. What is the common denominator of 9\/8 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 0 + 3*q**2 - 8 + 17*q**2. Let y(c) = 7*c**2 - 3. Let u be (-26)\/169 + (-102)\/13. What is u*y(s) + 3*j(s)?\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1540*x = 1401*x - 26271. What is the second smallest value in x, 0.2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10\/9? (a) -5 (b) 19 (c) -1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 22.461 to the nearest integer.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 3*f + 2. Let l be (18 - f)\/(4\/6). Let r be (70\/77)\/(-5) - (-402)\/33. Calculate the greatest common factor of l and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -211 (base 5) to base 8\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ebh when three letters picked without replacement from {n: 1, u: 6, e: 1, j: 5, b: 3, h: 1}?\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -19*q. Let j(i) = -4*i - 3. Let k(f) = -2*f**2 + 5*f - 8. Let b be k(2). Let o(g) = g + 1. Let y(a) = b*o(a) - 2*j(a). Calculate y(l(m)).\nAnswer: -38*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m + 1. Suppose o + 5*g = 29, -o + 2*g - 3*g + 9 = 0. Suppose 6*w + o = -2. Let n(c) = c - 2. Determine w*n(u) - 2*t(u).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2771 (base 11) to base 12\nAnswer: -20ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 3:15 PM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 3*x + 4*x)*(-46*x + 5*x - 8*x)*(x + 3*x - 6*x).\nAnswer: 196*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -47b647b?\nAnswer: 47b6479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/4)\/(b\/b**0))\/(b**2*((b\/b**(-4))\/b)\/b))**41 assuming b is positive.\nAnswer: b**(-943\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 12. Solve 2*z + 3 + 1 = i for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44, -16, 44, 148, 308?\nAnswer: 536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -182, -1396, -4688, -11096, -21658, -37412?\nAnswer: -59396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 6, 110 = 4*w - 3*g + 15. What is the lowest common multiple of w and 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**4\/3 + 5022540*x**3 + 14*x**2\/3 - 35157784*x + 30135240 = 0. What is x?\nAnswer: -3, 1, 2, 7533810","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 439, 479, 519, 559?\nAnswer: 599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56115504 and 192456.\nAnswer: 5832","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -36985, 1, 8, 4 in descending order.\nAnswer: 8, 4, 1, -1, -36985","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) -21 (c) 1\/6 (d) 0.11 (e) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = w - 0*w - 1, 0 = -3*p + w - 1. Suppose p = -v - 1 - 9. Is 1057\/5 + v\/25 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31.104 - 35.104. Let i = 2.08 + -2. Let l be 10\/25 + (-39)\/60. Sort i, h, l, 1.\nAnswer: h, l, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of 2*f**3\/3 - 6*f**2 + 5*f + 9. Let j be o(6). Suppose j*p = 8*p. Is p smaller than 0.25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m - 5. Let s be j(-4). Suppose -2*z - 36 - 133 = -s*r, -3*z = 5*r - 269. Suppose 0 = x + 3*x - v - r, -v = -3*x + 40. List the prime factors of x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 k when four letters picked without replacement from snknnnkkn?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17727 + -9527. Round h to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - l + 1, 5 = -3*n + 5*l - 0. Suppose 0 = -3*a - n*a. Factor a + 1\/5*m - 1\/5*m**2.\nAnswer: -m*(m - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 628 - 3*z**2 + 8744*z**3 + z**2 - 8743*z**3 to i*z**2 + y*z + o*z**3 + u and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((255\/(-20))\/(-17))\/((-426)\/5680)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010111011101011010110 - -101?\nAnswer: 1010111011101011011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 825263 divided by 5.\nAnswer: 825263\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 1 = -0*z. Suppose -2*y - 3*s + z = -3*y, -4*y + 4*s - 12 = 0. Is 17 a factor of (-51)\/2*y\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t - 3 + 3 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60607208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -17*(2 + (-1 - 0)). Let x = -14 - g. Is 3 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 351 - 327. Calculate the greatest common divisor of 228 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 583799 is divided by 43?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25)\/(-20))\/((-25)\/(-250))?\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*b**2 + 50*b**2 + 40*b**2.\nAnswer: 69*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1538 and 12?\nAnswer: 9228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -4\/3, 3, -1.4, -2351 in ascending order.\nAnswer: -2351, -12, -1.4, -4\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cczczzzczczc. What is prob of sequence zc?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (8 - 1) - -6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 - (-5 + 4)) + 2 + -2. Solve 0 = -4*d + f + 11 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46 divided by 14\nAnswer: -23\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 - 14\/42*-9. Let v(b) be the third derivative of -b**2 + 1\/9*b**3 - 1\/36*b**4 + l*b + 0 + 1\/360*b**5. Factor v(j).\nAnswer: (j - 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a decade in years?\nAnswer: 215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 - -11. Which is the second biggest value? (a) u (b) -1\/10 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 44*x**2. Let o(y) be the second derivative of 41*y**4\/3 + 31*y + 6. What is j(o(p))?\nAnswer: 1183424*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*i**3 - i**2 + 2263*i - 132681 wrt i?\nAnswer: 9*i**2 - 2*i + 2263","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1885 is divided by 237?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-332)\/(-1660) - (-1592)\/70 - 23?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkiidikkkikdkiii. Give prob of sequence ddi.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -410 divided by -35873.\nAnswer: 410\/35873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -6*o + 1. Let j(f) = 3*f - 1. Let v(l) = 5*j(l) + 2*q(l). Let a be v(5). What is the highest common factor of 96 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p + 9 = -35. Solve -p*u = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = 5*u + 29, x = -5*u - 10 - 11 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 5:28 AM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -2*w + 66, 0 = -2*k - 5*w + 7 + 11. Calculate the highest common divisor of 7 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/(-1) - -5)*(-1 + 1). Is o greater than or equal to -5\/351?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 42143*k**3 + 248*k**2 - 7*k + 2?\nAnswer: 252858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9231 is divided by 79?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 44 + -26. Let i = s - 3. Which is smaller: 13 or i?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + n + 5*n - 2*n - n + 0 + 0 - 2*n + (-3 - 1 + 3)*(4*n - 5*n + 2*n) - 3*n + 0*n + 6*n + 2*n + 0*n + 0*n)*(-2*n + n**3 + 2*n).\nAnswer: 5*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/260300 and -141\/2470.\nAnswer: 3383900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1280 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4708.354 millilitres?\nAnswer: 4.708354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 32\/(-84) - (-2)\/3. Let y = -97.6 - -98. Let w = -9 - -8. What is the nearest to w in y, k, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-4)*-2*-10\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28329912*f**2 + 41968583*f wrt f?\nAnswer: -56659824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-3)\/(-6)*6).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u + 2. Let r be f(-2). Let s be 4\/(-16) + 1\/r. Let q be -1*(-1 + -1)*5\/535. Which is greater: q or s?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*15 - (4 - 3). Suppose 4*f - 32 = -3*k, k + a = 2*k + 3*f. What is the greatest common divisor of 16 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/(-28))\/(((-142)\/(-568))\/(994\/4)). What is the highest common divisor of f and 3834?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + -12 + 9 - 4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.08 (b) -0.1 (c) -0.5 (d) 1\/12 (e) 202 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = x - 212 + 247, 2*f = -4*x + 4 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*l**3 + 117*l**3 + 337*l**3 - 6*l**2 + 3*l**2.\nAnswer: 416*l**3 - 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 33217064129 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 925457063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2. Let g(b) = 15*b - 45. Let m(f) = -28*f + 110. Let h(l) = -7*g(l) - 3*m(l). Give h(u(y)).\nAnswer: 21*y**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.5407501ml?\nAnswer: 0.0005407501","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 66 by -68.\nAnswer: -33\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -142, -282, -422, -562, -702?\n\"Answer: -140*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 81205025, 81205021, 81205017, 81205013, 81205009?\nAnswer: 81205005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c**4\/c)\/c)\/(c*c\/(c**6*c)*c))\/((c**(-1)\/c)\/c)**24)\/(((c\/c**(-2\/7))\/c)**(-33)*c**2*c*c**(2\/13)*c) assuming c is positive.\nAnswer: c**(7578\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1480 greater than 1412?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g\/(g**(-9)\/g)))\/g**7*g**(-1\/8)\/g**(-2) assuming g is positive.\nAnswer: g**(-129\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(117) - 3*sqrt(117))*-6)\/(sqrt(36)\/(sqrt(40)\/(3*sqrt(10)))).\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2853, 5707, 8569, 11439, 14317, 17203, 20097?\n\"Answer: 4*o**2 + 2842*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) - (sqrt(208) + 1)**2 - (sqrt(26)\/sqrt(2) + 2).\nAnswer: -211 - 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 166, 123, 64, -17, -126, -269?\nAnswer: -452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1210020 by 28.\nAnswer: 43215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*a*c**3*m + 3*a*c**3 + 7*a*c - 2*a*m**2 + 14*c**3*m**2 - 2*c**2 - c*m**2 wrt c.\nAnswer: 24*a*m + 18*a + 84*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 21*j - 70. Determine a(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 2\/17, 10, 4, 2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3604.\nAnswer: 2, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 43, -2864, -5, 0.4, -0.5, 1\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24881 - -47806. Is 35 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 7*t + 30 = -2*k, 0 = 5*t + 2*k + 35. Let c be t\/3 + (-8)\/(-12). Calculate the remainder when 42 is divided by 16 - (4 + (c - 2)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-2))\/(1 - 2). Let w be ((-46)\/8)\/((-3)\/(-12)). Let y = t - w. Does 11 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*u + 324. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 AM and 2:10 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 60 + -59.7. Let m = o + -1.3. Which is smaller: 7\/9 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 8*w**2 + 4*w + 2. What is the units digit of f(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3 - 3*a + 4224*a**2 + 9 - 9. Let k be d(-7). What is k rounded to the nearest ten thousand?\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 1671 = 1401. Let t = o - -133. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -190*w + 59*w + 71*w + 57*w.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -11333401 (base 6) to base 15\nAnswer: -70101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/382 and -25\/17?\nAnswer: 6494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -9 + 4 + 2 + 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 3) in base 4?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((sqrt(720) + sqrt(720) + 1 + sqrt(720))*5 - sqrt(720) - (-2 + 1*sqrt(720))))**2*-5.\nAnswer: -608580 - 9360*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 64*y - 15. What is the hundreds digit of s(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (66\/(-88))\/((-45)\/48). Which is the closest to -1\/4? (a) 1 (b) 1\/8 (c) p (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 70772.99 kilograms?\nAnswer: 70772990000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121303002 (base 4) to base 9.\nAnswer: 170846","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -71, -25, -4 in descending order.\nAnswer: 0, -1, -4, -25, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 10:24 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0*(2\/4)\/1. Let r(o) = o**2 + o + 1. Let q be r(-1). Suppose x = b + q, 4*y - 26 = -b - b. What is the lowest common multiple of y and 11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 5*x + 184 + 243 = 0, -10 = 5*x. Calculate the remainder when y is divided by 29.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 59\/7 (c) -0.5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*m**3\/7 - 6876*m**2\/7 + 27378*m\/7 + 34260\/7.\nAnswer: 6*(m - 1142)*(m - 5)*(m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 282\/5 - 56*a - 2\/5*a**2 = 0.\nAnswer: -141, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5328988 and 1141926.\nAnswer: 15986964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 343*f**2 - 152. Let d(c) = -515*c**2 + 245. Determine 5*d(q) + 8*s(q).\nAnswer: 169*q**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 15) to base 8\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1700) + 1 + (sqrt(102)*1)\/sqrt(6).\nAnswer: 1 + 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128*j - 49*j - 2 + 66*j**2 - 7*j - 34*j.\nAnswer: 66*j**2 + 38*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -7*o**3 + 229*o**2 + 459*o + 228. Let y(f) = -2*f**3 - f**2. Let w(r) = a(r) - 5*y(r). Suppose w(b) = 0. What is b?\nAnswer: -76, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 6*a + 4*f - 36 = 0, 3*a = -f - 19. Let b = a - -7. Let d(r) = 0 + 1 - 6 + r**2. What is d(b)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*h**4*i - 7*h**4 + 2*h**2 - 161*i - 2 wrt h?\nAnswer: -24*h**3*i - 28*h**3 + 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 k when four letters picked without replacement from {k: 1, r: 1, s: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 2, -4, -9, -901 in descending order.\nAnswer: 2, 1, 0, -4, -9, -901","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23802076.\nAnswer: 2, 83, 71693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*s**2 + 4010*s + 67*s**2 - 4010*s.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1381 + 1397 - 9*r - 2*r**4 - 2*r**2 + 3*r + r**3 to the form f*r**3 + g*r**4 + y*r + h*r**2 + x and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 2*i + 17. Suppose 2*l - 20 = -3*o, 0 = l + l - 2*o. Let f be ((-32)\/48)\/(7\/1). Sort i, f, 0.2, l in increasing order.\nAnswer: f, 0.2, i, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -20*t - 81. Let m(r) = -26*r - 82. Let d(s) = 4*m(s) - 5*n(s). Let p be d(17). Solve i = -4*o - 2*i + 9, 3*o + 3*i - p = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -u**5\/60 + u**4\/3 + 3*u**3\/2 - 3*u**2. Let r be d(7). Suppose 60 = 4*b - r. Is 10 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 4746?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(686)*2*-3)\/(((1*sqrt(140) - sqrt(140))\/sqrt(4) - sqrt(35))\/sqrt(5)) + 0.\nAnswer: 42*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 228.00492 + -228. Round g to four dps.\nAnswer: 0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.142 - -0.142. Let b be ((-9)\/6)\/(4 + 2). Sort -0.4, -1\/2, z, b in descending order.\nAnswer: b, -0.4, -1\/2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -3. Let t = 2 + l. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109671*i + 30 - 109677*i + 219366*i + 34.\nAnswer: 18*i + 64","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5*2*sqrt(156) - (2*sqrt(156)*-1 + sqrt(156)))\/(sqrt(192) - ((sqrt(192)*-3 + sqrt(192))*-2 + sqrt(192)))*6.\nAnswer: 165*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26.9861 + -27. Let l = 0.013898758 + a. Round l to 7 decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x + 3. Suppose 0 = 5*b - 20, a + 5*b - 400 = -3*a. Suppose -10*z - 9*z + a = 0. Let r(t) = -3 - 2*t + 0 + 8. Determine z*d(v) - 3*r(v).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7402364?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.9788096 + -42.9206134. Let l = w + 47.9. Round l to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-1*sqrt(832) + -4)**2 + -4 - ((sqrt(832) - (5*(-1*sqrt(832) - sqrt(832)) + sqrt(832))**2) + -6*-1*sqrt(832)).\nAnswer: 8*sqrt(13) + 68239","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**2 - 930*z - 400775.\nAnswer: 5*(z - 391)*(z + 205)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s**3 + 7 + 4 + 17518*s - 8834*s - 11 - 8684*s.\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*2\/20)\/(32\/(-20))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 d when three letters picked without replacement from {l: 3, d: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*((((q*q**(-32))\/q)\/q)\/q)\/q)\/q**4*q\/q**0*q*q\/q**(-2\/5)*q assuming q is positive.\nAnswer: q**(-168\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-167)\/668)\/(32\/13824).\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -31634*p**4 + 22013.\nAnswer: -126536*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1021924.\nAnswer: 2, 449, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 542?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 544 and 3026.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 - 18. Let k = -156 - -178. What is the least common multiple of k and x?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (141\/(-423))\/((-133)\/(-171)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) + sqrt(252)*1 + sqrt(252) + sqrt(7) + sqrt(7) + sqrt(175) + 2 + (5*sqrt(1008))\/(-3*sqrt(144)))**2.\nAnswer: 280*sqrt(7)\/3 + 34336\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4331753?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -714.3 + 711.297. Let u = 0.063 + r. What is u rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1933?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.08378606 and -0.8?\nAnswer: -0.067028848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 3*i**3\/4 - 5*i**2\/4 - 31*i + 21 = 0.\nAnswer: -6, 2\/3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 667543?\nAnswer: 103, 6481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**(-1\/9)*r*r*r**(-20)\/r*r*r assuming r is positive.\nAnswer: r**(-145\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3591669*j**2 - 2209596*j wrt j?\nAnswer: -7183338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -415 (base 8) in base 4?\nAnswer: -10031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18156 - -4258. Suppose -78*k - v = -80*k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 + 6*v + 5. Let r be f(-5). Let x be (-1)\/(r + 1) + -1. Let c(w) = w**3 + 2*w**2 - 9*w - 2. Let m be c(-4). Sort x, m, 8 in increasing order.\nAnswer: x, m, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (122 - 27) + (-5 - 20) + 17.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of -a**5\/60 + 7*a**2. Let m(q) = 11*q**2 + 4*q. Let y(u) = -12*u**2 - 3*u. Let p(z) = 3*m(z) + 4*y(z). What is p(l(d))?\nAnswer: -15*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 13*i - 44. Let m be s(6). Let q = 14 + -11. Suppose -m = q*a - 5*a. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*l**2 - l**2 + 90 - 5 - l**2.\nAnswer: 4*l**2 + 85","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 283785257 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4071241 is divided by 116.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -55337 at most -55338?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 118694 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10033?\nAnswer: 79, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.05 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 1. Let j(a) = -1. Let s(b) = j(b) + 2*q(b). Let h(d) be the second derivative of d**4\/6 + d**3\/3 + 13*d. Give h(n) + s(n).\nAnswer: 2*n**2 + 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.086028 times -38\nAnswer: -3.269064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17516? (a) -2\/3 (b) -3 (c) -0.4 (d) 0.3 (e) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.08, 4\/19, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tvvvvvvtvvt. Give prob of picking 2 v.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -54*f**5 - 72*f + 141*f**3 + 51*f**2 + 12 - 93*f**5 - 63*f**4 + 57*f**3 + 21*f**3 = 0. Calculate f.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -8\/11, 79, 1\/15?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2267439571 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3799 divided by -1811.\nAnswer: -3799\/1811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 0 = -8. Suppose c*h - 32 = -4*n, -3*n + 0*n + 87 = 5*h. What is the least common multiple of h and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 9:57 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/42)\/((-30069)\/546 - -55)*(-54)\/4.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.05273 - 0.35273. Which is the biggest value? (a) 2\/5 (b) 7 (c) y (d) -2\/3 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from baaappjajjppjjpp. What is prob of picking 2 p?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 plus -0.096210728142?\nAnswer: -9.096210728142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 2. Let d = -2.7 + n. Let u = -3 + 7. Sort u, 1\/5, d in decreasing order.\nAnswer: u, d, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 4180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p*p**8\/p)\/(p*p\/p**0)*p\/p**(-2\/9)*p**(-10) assuming p is positive.\nAnswer: p**(-7\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2*(3 + sqrt(567) + sqrt(567)))**2.\nAnswer: 144*sqrt(7) + 9076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*d**2 - 4*d**3 + 11*d**2 + 33*d - 7*d**2 as h*d**3 + q*d**2 + u*d + z and give u.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 21648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 30020 a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3124, 6291, 9458?\n\"Answer: 3167*b - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - n - 1 = 0, 0 = -204443*a + 204445*a + 3*n + 25 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)*-2*-4)\/(sqrt(55)\/sqrt(396)).\nAnswer: 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1190 rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, g: 1, x: 4, c: 5, j: 4}. Give prob of picking 1 g and 1 j.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 5*o - 3. Let q(u) = -56*u + 34. Let p(m) = 68*g(m) + 6*q(m). Let v(x) = 3*x. Let h(z) = -4*z. Let a(k) = 5*h(k) + 7*v(k). Determine a(p(j)).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 14*g**2 + 18*g - 25. Suppose -6 = -3*s, -2*b + 30 = 2*s - 0*s. List the prime factors of l(b).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 plus -13359451654.161?\nAnswer: -13359451654.361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2337140 a multiple of 370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*d - 1548*d**2 + 39*d + 757*d**2 + 753*d**2.\nAnswer: -38*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.88 - -0.12. Let a = 2.02 - 0.02. Let y = -1.8 + a. Put f, 2\/19, y in increasing order.\nAnswer: 2\/19, y, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*s - 95 = -103*s + 4*h, 3*s - 30 = -s + 3*h for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 387\/(-6) + 6\/12. Let z = -34 - a. Is z a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f - 15 = -2*c - 7*f, 27 = 4*c - 5*f. Suppose 0 = d - 3 - 2. What is the first derivative of 1 - d + 3*g**3 + 2 + g**c wrt g?\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z**3 - 5*z**2 - 3*z - 4. Let c(f) = -f**3 - 2*f**2 - f - 2. Determine -5*c(k) + 2*o(k).\nAnswer: k**3 - k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + (-3 - 20\/(-4)). Suppose 4 = u*w - 5*y + y, 4*w + y - 24 = 0. Which is greater: 7 or w?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 + (-72 + 100 - 58)\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -39 + 0?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66004 and 319?\nAnswer: 726044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**3\/7 + 2808*t**2\/7 - 985608*t\/7 = 0.\nAnswer: 0, 702","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -875 + 865 = 2*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01332138 rounded to 3 dps?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 3 + 335*j - 656175*j**2 - 335*j.\nAnswer: -656175*j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-16)\/(-12))\/(4\/12). Let q(p) = -p + 5. Give q(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-19) - 3600\/1140?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 4, 4*p - 7 = 3*p + j. Suppose -15*x + 10*x + 30 = 2*m, x = 6. Solve s = -m*s + p for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2648.02857 to the nearest 100.\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3 and 9059.\nAnswer: 9059.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 5*i**3 - 6015*i**2 + 484570*i + 993240 = 0?\nAnswer: -2, 89, 1116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2522463?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 21*v**2 + 101*v - 56. Let d(k) = -4*k**2 - 20*k + 11. What is -11*d(w) - 2*x(w)?\nAnswer: 2*w**2 + 18*w - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -107*t + 137*t - 900. Solve 2*d - t + 20 = 0, 0 = 5*l + 4*d for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10b6 (base 16) in base 8?\nAnswer: -10266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 686 is divided by 36?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 21*b. Let z(g) = -152*g + 48. Let j(r) = -16*r + 5. Let u(p) = -48*j(p) + 5*z(p). Determine v(u(q)).\nAnswer: 168*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a decade in years?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -204900618 to the nearest 1000000.\nAnswer: -205000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -22948960 divided by -760\nAnswer: 30196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (5 - (4 + -3)) - (-3 + 32).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6*90*(4 + (-34)\/8). Let n be (10\/f)\/((-4)\/(-12)). What is the fourth biggest value in n, -3, 4, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/3 + 30*3. Let u = 39 + -34. Suppose u*n - 2*n = q. What are the prime factors of n?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 1196?\nAnswer: -1\/598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3146.768 millennia to months.\nAnswer: 37761216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 i, and 2 c when four letters picked without replacement from {c: 2, g: 6, h: 4, n: 1, i: 3, t: 2}?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 27 - -87?\nAnswer: ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.07 - -0.23. Let o be (-33)\/30 + 3\/6. Sort 3, d, o in ascending order.\nAnswer: o, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40416 and 15432.\nAnswer: 25987488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 264 = -2*n, 4*n + 5*x - 2*x = 528. What is the greatest common factor of n and 330?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2. Let v(c) be the first derivative of 99*c**2\/2 + 4*c + 3522. Calculate v(q(r)).\nAnswer: 99*r**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.7105917 plus -6?\nAnswer: -9.7105917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -p**3\/4 - 1545*p**2\/4 - 149382*p - 148996 = 0.\nAnswer: -772, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45853256 divided by -3.\nAnswer: -45853256\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 118*h - 6136. Determine j(52).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34 - -34. Let n = -129\/2 - -66. Let k = 0.3 + -2.3. What is the nearest to i in n, -22, k?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 20 - 12)*(-4*j**4 + 11*j - 11*j) + 2 + 4*j**4 - 3*j**4 - 4.\nAnswer: -55*j**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 3 = -m, -m + 3*z + z = -31. Calculate the smallest common multiple of ((-60)\/8)\/(-15)*(-750)\/(-7 + 2) and m.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + -4. Let o = -2873 + 8623\/3. Put o, 0, 3\/5, a in decreasing order.\nAnswer: o, 3\/5, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4894326389 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -248*40\/(1 + -5). Calculate the greatest common factor of m and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 + h - 3. Let a(w) = -w**2 + w - 2. Let p(o) = 2*a(o) - 3*u(o). What is the remainder when p(5) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141477.9 rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 204531 and 1896?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 664062300 by -28710.\nAnswer: -23130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.427 + -4.427. Put -5, q, -1.1, 0.2 in ascending order.\nAnswer: -5, q, -1.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3a - 23?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38070204482717634 - -38070213739723977.9999679. Let n = y + -9257005810. Let d = 534 - n. What is d rounded to 6 decimal places?\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c*(c**(-2\/17)\/c*c)\/c)\/c*c**(-1\/5))\/(c**(1\/5)*(c**(1\/4)*c)\/c) assuming c is positive.\nAnswer: c**(-261\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 460510254 - 0?\nAnswer: 460510254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 + 9. Which is greater: -20\/7 or p?\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1577, -1583, -1589, -1595, -1601?\nAnswer: -1607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1068c + 268?\nAnswer: -10424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -20*h**3 + 268*h**2 - 96*h + 2. Let c(u) = -4*u - 1. Let o(i) = -2*c(i) - y(i). Factor o(l).\nAnswer: 4*l*(l - 13)*(5*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 421368.\nAnswer: 2, 3, 97, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -5*t - 334. Determine s(-113).\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 80, 561, 1820, 4247, 8232, 14165?\n\"Answer: 65*v**3 - v**2 + 29*v - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.14 - 0.1. Let f = -10.7 - -9.4. Let k = -1.3 - f. Which is smaller: k or g?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, b: 1, x: 2, v: 2, p: 1, a: 7}. Give prob of picking 1 a and 1 x.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3885431, 3885448, 3885465?\nAnswer: 3885482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nzunsllufnsfsl. Give prob of picking 1 s, 1 l, and 1 z.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 21*v**5 + 3*v**4 - 4*v**3 + 5*v + 3. Let x(a) = a**5 + a**4 - a**3 - a + 1. Let c(u) = o(u) - 3*x(u). Find the second derivative of c(y) wrt y.\nAnswer: 360*y**3 - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 21*l - 288. Let x be s(14). Let r = 12 - 0. Calculate the greatest common divisor of r and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p = -52 - 128. Let h(v) = 3*v + 65. Let t be h(p). Solve -4*o = -0*o + t*q + 4, 4*q = -4*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -11 + (270\/15 - 9). Put -1\/8, i, 10, 0 in ascending order.\nAnswer: i, -1\/8, 0, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a meter in centimeters?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 6*q**2 - 2*q - 5. Suppose 0 = -h - 10 + 1. Let u = -5 - h. Is n(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u + 3. Let n(r) = 4*r - 7. Let s(v) = -2*a(v) - n(v). Let p = 5 + -7. List the prime factors of s(p).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19083 + 68028. Suppose 9*b - g + 10341 = 0. Round b to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - f**4 + 2*f - 9 - 13*f**2 - 2 + 0*f**4 to i*f**2 + j + u*f + t*f**4 + a*f**3 and give i.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 13*i**2 - 30*i + 24. Let x be l(15). Let w(c) = 13*c - 263. Calculate the lowest common multiple of w(x) and 42.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 19. Suppose 0 = -5*g - 4 + z. Suppose -2*r - g = -61. Does 15 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3452 divided by -1726.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*f - 123*f - 3*w = 13, -9 = -5*f + 4*w for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 4*u = -52. Let w be (u\/8 + -4)*4. What are the prime factors of ((-15)\/(-10))\/(w\/(-10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 8) to base 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**25\/(i**(-1\/3)\/i*i)*i*i**(-17)*i**(-36) assuming i is positive.\nAnswer: i**(-80\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -38704\/95 not equal to -406?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145211 is divided by 1190?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seventeen quarters of a milligram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 9 - 12 = 0. What is the remainder when -4*(1 - 168\/32) is divided by 65\/7 - 2\/f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + a - 2*a - 3*a)*(-2*a**2 - 1 - a**2 + 0)*(0*a - 5*a + 4*a) to the form c*a + r*a**4 + y + g*a**3 + m*a**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(15)\/sqrt(5) + 0 + (sqrt(3) - sqrt(18)\/sqrt(6)*2) - (sqrt(75) + 2*sqrt(75) + sqrt(75) - sqrt(30)\/sqrt(490)))**2.\nAnswer: 173889\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*l**2 - 12*l**2 - 13*l**2 + 1 in the form g + y*l + j*l**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5988 is divided by 97.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -527*j = -533*j + 72. Suppose 4*u - 49 = 5*y, 0 = 16*u - j*u - 3*y - 39. Let z(d) = -d. Let n(s) = 5*s. Calculate u*n(i) + 34*z(i).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -106748, -218429, -330110, -441791, -553472, -665153?\nAnswer: -776834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - o = -8. Suppose i + 741 = o*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of -o**4\/24 + 47*o**3\/6 - 2*o**2 + 4*o. What is the remainder when q(24) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2791 + -1507. 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 = 442 + 433. Suppose -2*j - 5*i + q = -10*i, 0 = -3*j - 3*i + 1365. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/5 of a decade?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8198270747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2772890.7+-11\nAnswer: -2772901.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21460780?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -102400\/9 + 2\/9*d**3 + 52480\/9*d - 644\/9*d**2.\nAnswer: 2*(d - 160)**2*(d - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 6*u + 1 - 2*u - 3 - u**2. Let n be b(4). Is 5 a factor of n + 0 - (1 + -18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21*q**3 - 5*q**2 - 16*q**2 + 86*q + 11*q**3 + 24*q**2 wrt q.\nAnswer: -60*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 10*x**2 - 9*x - 5. Let f be a(9). Let c = f - -10. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3610, 2\/3, 2989, 1\/5 in increasing order.\nAnswer: -3610, 1\/5, 2\/3, 2989","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119184.\nAnswer: 2, 3, 13, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4136 and 10152.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23\/138*(-1 + -1)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-3*(sqrt(1300)*1)**2 - ((sqrt(1300) - ((sqrt(1300) - sqrt(1300)*1) + 2))**2 - sqrt(1300))).\nAnswer: -5204 + 50*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m - 1 + 43*m**2 - 2*m - 34*m**2. Let v = -2 - -1. What are the prime factors of y(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -201 - -203. Suppose 58*b = 57*b + d, -22 = -i + 2*b. Calculate the greatest common divisor of i and 1118.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3038\/11 + 276. Sort -1, 5, i in increasing order.\nAnswer: -1, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from hhhhhhhhohhhhhhohhhh?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 17*u - 18. Let q(j) = j**2 - 2*j - 20. Let x be q(-5). Give v(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 393 + -375. Let q = -8 - -12. What is the remainder when (q + -5)\/(3\/(-159)) is divided by g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1158*i - 107*i = -200*i - 61770 for i.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 28576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 30*h**2 + 230*h + 1908. Calculate u(-35).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 4. Let m(d) = -4431*d + 0 + 4430*d + 1 + 2. Calculate 8*m(s) - 6*x(s).\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147988 is divided by 4120.\nAnswer: 3788","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15468133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 65, 121, 193, 281, 385?\nAnswer: 505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6761818?\nAnswer: 2, 7, 17, 28411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z**3 - 17*z**2 - 11*z - 4. Let q be f(-8). Suppose -5*u + 90 + 210 = 0. Calculate the greatest common divisor of u and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 1509.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -639 = 6*a - 3*a. Let t be 2\/((4 - 3)*(-1)\/a). Let q = -193 + t. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 69, 105, 141?\n\"Answer: 36*l + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 10:56 AM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, p: 2, m: 4, e: 6, g: 3}. What is prob of sequence mpeg?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 2. Let h be (-24)\/2 + (-268)\/(-22). What is the third smallest value in h, 3.7, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187291335 a multiple of 1155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1941, -4121, -6603, -9537, -13073?\nAnswer: -17361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-36)\/2)\/(45\/(-30)). Suppose -3*a - c = -6*a. Suppose 0*g = 2*i - 3*g - 25, 0 = a*i - 3*g - 35. Calculate the remainder when 13 is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174394153.\nAnswer: 73, 2388961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 + p + 7. Let c be m(0). Let g be (-20)\/(-25) - 3\/(45\/c). Let v = 0.5 + -1. Put 2\/5, v, g, 1\/7 in descending order.\nAnswer: 2\/5, g, 1\/7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175) + 2)**2 + -4 - (sqrt(175) - (0 + sqrt(175)*-2 + sqrt(175) + sqrt(175))))*-4.\nAnswer: -700 - 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 = 4*c - 4*d, 0*c - 4*c = 4*d - 108. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one tenth of a meter?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/2)\/(1\/(-2)). Let l be 2\/(-6) - x\/(-5). Which is greater: 1 or l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5068 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.832 and -8.\nAnswer: 6.656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -50515, -50849, -51183?\n\"Answer: -334*d - 50181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11.887 - -16. Round o to 1 decimal place.\nAnswer: 4.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vgvvgvvvdgvgdvvv. What is prob of picking 4 v?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 minus -61696592?\nAnswer: 61696592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/169, -255, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18248 is divided by 214.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (14*6\/9)\/(6\/27) is divided by 17.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 5.1. Let h = -118 + 115. Let r be 29\/(-1)*18\/126 - h. Which is the closest to r? (a) 5 (b) y (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 68863 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1250061 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3 - 1.7. Suppose -5*t - 11 = -21. Let z = 7 - 3. Which is the nearest to t? (a) w (b) 2\/5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -2*y**5\/11 - 216*y**4\/11 - 424*y**3\/11 + 4*y**2\/11 + 426*y\/11 + 212\/11 = 0.\nAnswer: -106, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(1\/6))\/k**(-2\/19)*((k**(1\/2)*k)\/k*k)\/(k*k*k**5*k))**(4\/5))**(-1\/3) assuming k is positive.\nAnswer: k**(1192\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y - 34 + 46 = 0. Which is the nearest to y? (a) -0.4 (b) 0.1 (c) -40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + s**2 - s. Let j(r) = r**2 + r + 1. Let q(y) = 4*y**3 - 9*y**2 + 3*y - 2. Let b(l) = -2*j(l) - q(l). Give -b(t) + 5*d(t).\nAnswer: -t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(6 + (-1 - -2)). Suppose -5*w + z + 5 = -i, w = -z. Calculate the least common multiple of w and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23201*i**4 - 901*i**3 + 86141783*i**2 wrt i.\nAnswer: 556824*i - 5406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)*-1*2)\/(sqrt(48)*-3).\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33 + 40. Suppose n*w - 636 = 3*w. Is 17 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {r: 2, d: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 5*p + 20 = -0*u, -5 = -2*u - p for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23204 - 13832. Let x be ((-1)\/3)\/((-22)\/v). Is x bigger than 142?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238*k - 155*k = -1411 for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3874*s = -3*y + 3877*s + 21, 0 = -y - 13*s - 63 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.1541 kilograms to milligrams.\nAnswer: 24154100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 24076*y**2. Let l(d) = d**2. Calculate a(l(m)).\nAnswer: 24076*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -7*h. Let v(m) be the first derivative of 4 - 1\/3*m**3 + 0*m**2 + 0*m. Calculate v(k(b)).\nAnswer: -49*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11410, 0, -2, -0.3, -0.2 in descending order.\nAnswer: 11410, 0, -0.2, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9790 = 26*w - 28*w. Suppose 0 = -0*d - 11*d + w. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*q - 66 - 67 + 252 - 59 - 58.\nAnswer: -64*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 54905183873 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2295 by -3.\nAnswer: -765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**5\/8 - 315*s**4\/2 + 154791*s**3\/8 - 2250423*s**2\/4.\nAnswer: 3*s**2*(s - 189)**2*(s - 42)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*b**2 - 41*b**2 + 21*b**2.\nAnswer: -11*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 - 0.038.\nAnswer: -42.038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -3*n + 3. Let j(b) = 10*b - 9. Let o(v) = -2*j(v) - 7*u(v). Let r be o(4). What is the units digit of (r - 0)\/(-1) - -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -3*p + 2*z - 3, 0 = z + 2 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*t = 433 - 286 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((sqrt(300) - (sqrt(300) + -3))*2 - sqrt(300))*2 + (sqrt(300) + 5 + 3)*-5 + 3)**2.\nAnswer: 3080*sqrt(3) + 15184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -6, -7*l + 10*l = -5*k + 10. Suppose 24*d - 620 - 1084 = l. What is the remainder when d is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (65\/20)\/((-438)\/16) and 47\/3.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.19 and 1558.\nAnswer: 1558.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3*t - t**3 - 8*t**2 - t + 2*t - 6*t - 9. Let q = 9 - 17. Let u be d(q). Solve 0 = -r - 3*j - 11, 25 = -2*r + u*r - 5*j for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 4*m + 30, m + 86 = 2*i + 12. Suppose i*c - 117 = 35*c. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/3140560 and -63\/1570280.\nAnswer: 3140560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 PM and 10:11 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(6\/11))**(-29) assuming i is positive.\nAnswer: i**(-174\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 184760541655 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a century in decades?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus -1889.8153?\nAnswer: -1891.8153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**3 - 3*x**2 + 5*x + 5. Suppose -5*a + 3*a = 6. Let g(m) = m**2 - m - 1. What is a*g(s) - i(s)?\nAnswer: -2*s**3 - 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 893, 5 in descending order.\nAnswer: 893, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-0.1186.\nAnswer: 0.3558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 58 = -p. What is the remainder when p is divided by 22?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13756 + -7051. What are the prime factors of q?\nAnswer: 3, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/228*19)\/(2\/108).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 128476 - 128475.99. Let x = 3 + -3.1. Sort -5, n, 0.2, x in decreasing order.\nAnswer: 0.2, n, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7175*-0.4.\nAnswer: 2870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 (base 11) in base 6?\nAnswer: -155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/4 of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 848*f**3 + 4*f**2 - 8*f - 3. Let q(c) = 2543*c**3 + 14*c**2 - 28*c - 9. Determine -7*n(h) + 2*q(h).\nAnswer: -850*h**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*(d*d**(-2))\/d)**(-32)*d**3*d*d\/(d**(3\/2)\/d))**28 assuming d is positive.\nAnswer: d**1022","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -5 (b) 0 (c) -7 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 66026483?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 89072 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36918 and 1107540?\nAnswer: 1107540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + (sqrt(99) - 1*sqrt(99)*1 - sqrt(99)) - ((sqrt(99) + (sqrt(99) - 2*sqrt(99)))*-6 + sqrt(99)))\/(-1*sqrt(1089)*4).\nAnswer: sqrt(11)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137 is divided by 64?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 219 + -871\/4. Let b = 0.1 - 1.1. What is the closest to -1 in x, 5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -164, -368, -584, -818, -1076?\n\"Answer: -k**3 - 197*k + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 19, 34, 55, 82, 115, 154?\nAnswer: 199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 227 divide 139119901?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of -b**6\/120 + b**5\/10 - b**4\/8 + 2*b**2. Let i be g(5). Solve -4*p - p = -s + 6, p + i = -2*s for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 5*k - 8, -5*d = 2*k + 5 - 15. What is the third derivative of -26780*p**2 - 4*p**5 - 2*p + d*p**6 + 6*p + 26785*p**2 wrt p?\nAnswer: 240*p**3 - 240*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 3, 29, 14\/93, 1\/6, 0.1, 2 in ascending order.\nAnswer: -10, 0.1, 14\/93, 1\/6, 2, 3, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 2*u - 25 = r, 2*r = -2*u + 10. Let i(k) = 6*k**2 + 9. Let y(f) = -3*f**2 - 5. Calculate r*y(j) + 4*i(j).\nAnswer: 3*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*w + 443*w - 2162 = 2908 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -13928 (base 13) to base 4\nAnswer: -20331203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - f + 4. Let x be t(0). Put 2, x, 0 in ascending order.\nAnswer: 0, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14451 and 4.\nAnswer: 57804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + v - 16 = -2*z, -z + 16 = 3*v. Let x be ((-12)\/18)\/((-1)\/6). Find the second derivative of x + 0 - 4*o**3 + 4*o - z wrt o.\nAnswer: -24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 - 3*n**2 + 17*n + 9. Let d be h(-8). Let o(l) = 30*l**2 + 3*l + 1. What is the remainder when (-12)\/(-21)*d + (-4)\/14 is divided by o(-1)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/175949162 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1094, 1, -2, 18, -1 in descending order.\nAnswer: 1094, 18, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1257889 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 227740, 227733, 227726, 227719?\nAnswer: 227712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 403 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38999?\nAnswer: 59, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 164\/88*4 + -8?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3649968 is divided by 296?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -65, -140, -243, -374, -533, -720?\nAnswer: -935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -6*y. Let m(z) be the third derivative of 53*z**5\/60 + 64*z**2 + 22. Give m(a(j)).\nAnswer: 1908*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + 2*n - 6*n + 6*n + 3*n - 4. Let y be u(-6). Let m(s) = -13*s - 206. Let d be m(-16). Solve -y*x + 18 = -2*k - d*k, -5*k - 29 = 4*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -305, 1.3, -1, -11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 x when two letters picked without replacement from {q: 4, x: 13, o: 3}?\nAnswer: 39\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -3*p - 24, -3*o + 84*p = 572 - 200 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 879d (base 14) in base 11?\nAnswer: 166a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i + 4*i - i - 2*i + 6*i + 6*i - 3*i + 3*i + i + (-3 - 2*i + 3)*(4 - 4 + 2) + 2*i - i + 0*i + 3*i + i - 2*i.\nAnswer: 11*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -73\/18 >= -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*h + 15 - 15)*(0 - 2 + 1)*(8 + 4 - 8)*(5*h - h - 2*h).\nAnswer: -56*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1527 and 414326?\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/3*(-7)\/(-35).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 17102 + -3?\nAnswer: 17077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h + 3 = 165. Let f(m) = m**3 - 18*m**2 + 7*m - 110. Let d be f(h). Let i = 49 - 30. Solve -2*p + 30 = -5*a, 5*a - 3*p = -d - i for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5 = 1. Let x be h*((-8)\/6 - -2). Which is smaller: -3 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8848350 divided by -25281?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6496, 13026, 19572, 26134, 32712?\n\"Answer: 8*b**2 + 6506*b - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 + 11*k - 16. Let r be z(9). Suppose -r*a + 228 = -152. Calculate the highest common divisor of 38 and a.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2. Let l be t(2). Suppose 2 = m + 2*b + 3*b, -l*b = 4*m - 72. Suppose -5*i - 2*v + m = 0, 2*i + 3*v + 9 = 5*i. Solve 0 = -i*s + s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8499515 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p**2 - 77*p + 292 = 0. What is p?\nAnswer: 4, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 40 = -5*l + 25, -4*l - c = -52. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10.1 - 10. Is -9 at least p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**9\/d**(2\/7))\/(d*d**6*d)**(-3\/10) assuming d is positive.\nAnswer: d**(389\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1323)\/567*20\/(-14)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of 1\/10*d**4 + 0*d**3 + 0*d**2 - 4\/25*d**5 + 1\/15*d**6 + 12 + 0*d. Suppose w(u) = 0. What is u?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -441\/23, 2\/21.\nAnswer: -441\/23, 0, 2\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31.1 + -27.1. Suppose -25 = -4*s + t + 23, 0 = -2*t + 8. Let m = s + 4. Which is the second smallest value? (a) -4 (b) f (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 2\/11, 3, -1.1, 0.3, 2, -220?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31947339 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6318 + 6323. Solve -m*v - 30*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**3 + 44*j**2 + 10*j - 27. Let y be r(22). Let c = y + -188. What is the least common multiple of 34 and c?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-20)\/12 + 58\/9 + -5. Which is the nearest to x? (a) 0.9 (b) 5 (c) 3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000628 rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**2. Let d(m) = -m. Let u(v) = -24*v + 13*v + 13*v. Let s(z) = -8*d(z) - 5*u(z). What is b(s(h))?\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -2\/125, 5?\nAnswer: -2\/125","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 105827?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 9*y**2 - 6*y - 5. Let m be z(8). Let j(u) = u**3 - 11*u**2 + 5. Let q be j(m). Solve -3*s + 10 = -3*r + 2*r, -q*s + 2*r = -17 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 5*p**2 - p. Suppose -108 = -29*t + 23*t. Let h be t\/5 + 18\/(-30). Give x(h).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of -8\/35*h**5 + 0*h**4 + 0*h**2 - 1\/21*h**6 + 0*h + 18 + 0*h**3. Determine r, given that w(r) = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = -2*p - 320. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 + -74. Calculate the smallest common multiple of (-40)\/12*594\/b and 219.\nAnswer: 2628","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 + 44. What is the highest common factor of 207 and g?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -30, -8, 38, 114, 226, 380, 582, 838?\n\"Answer: g**3 + 6*g**2 - 3*g - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-16))\/((-174)\/551232*18)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*k + k. Suppose -k*u - u + 25 = 0. Suppose -u*i + 95 = -5*d, -2*d + 34 = i + 2*d. What is the greatest common divisor of 11 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1517\/4 - -380. Find p, given that -1\/2*p - j*p**2 + 1\/2*p**3 + 0 = 0.\nAnswer: -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 21874392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = z + 3*z. Let m = z + 42. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of -1\/90*o**5 + 0*o - 1\/3*o**3 - 1\/9*o**4 - 29*o**2 + 0. Factor k(d).\nAnswer: -2*(d + 1)*(d + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, i: 5}. What is prob of sequence iw?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - 1\/(-2))*2. Let l(b) = -30. Let y(c) = -22*c - 30. Let w(m) = -l(m) + y(m). What is the tens digit of w(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(440)*-1)\/(sqrt(1152)*2 + sqrt(1152)))\/(4*(sqrt(11) - -1*sqrt(1331) - (sqrt(55) + (sqrt(165)\/sqrt(3) - sqrt(55)))\/sqrt(5)))*6.\nAnswer: -sqrt(5)\/132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 74422823 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 18476955?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 736\/(-4600)*2\/(-8).\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-17 - (-14 + 7) - -7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 82788.7473ns?\nAnswer: 0.00000000013688615625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 p when three letters picked without replacement from pvppvppv.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1036*w**2 - 3813*w**2 - 6824*w**2.\nAnswer: -11673*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of -b**4\/4 - 5*b**3\/3 - b**2\/2 + 3*b - 1. Let p be s(-3). Let r = p + 17. Solve -r*k - 14 - 1 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -207 - -207.1. Which is the second smallest value? (a) 2\/13 (b) 7\/3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 5*b**2 - 9*b - 5. Let a(z) = 9*z**2 - 18*z - 10. Let t(p) = -6*a(p) + 11*y(p). Give t(-11).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 + 0)*(2 - 2 - 3*y) - 12*y + 2*y + 9*y - 23.\nAnswer: -10*y - 23","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/1452 and 65\/24.\nAnswer: 2904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13535185 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5850 = -3003*c + 2873*c for c.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7475 is divided by 2192.\nAnswer: 899","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.464 + 0.294. Let v = 1.16999493 + o. Round v to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*d*o**4 - d*o**2 - 50*d*o - 483*o**4 + o**2 - 18*o wrt o?\nAnswer: 456*d*o - 11592*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*6*-41*(-25)\/4100?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7 (b) 7 (c) 18.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.97947*-1\nAnswer: 0.97947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*x**4 - 18*x**2 - 7915*x - 39301 wrt x?\nAnswer: 8*x**3 - 36*x - 7915","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (88066 - (1 - 1)) + (30 - (-54 + 81)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17158 is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13269 + 7404. What are the prime factors of (-12)\/78 - b\/13?\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31*4.\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -1 + a**2 - 4 - 5 - 9*a. Let u be f(10). What is the second derivative of -5*h**3 + 2*h**3 - 2*h + u*h wrt h?\nAnswer: -18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*d**3 + 43*d**3 + 6*d**3.\nAnswer: 75*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((d\/d**(4\/21))\/d)\/((d**(-7)\/d)\/d))**32)**(-22))**(6\/23) assuming d is positive.\nAnswer: d**(-260480\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/4)\/w)\/w)**(-5\/16)\/((w**(1\/5)*w)\/w)**(-2\/37) assuming w is positive.\nAnswer: w**(8453\/11840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 197024?\nAnswer: 2, 47, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15 + 2 - (6 - 9). Suppose -321 = 22*h + 2605. Let v = h - -153. What is the greatest common factor of v and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -408 + 18?\nAnswer: -3a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 929 is divided by 22.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -2 (c) -11 (d) 1.4 (e) -3\/8 (f) 4.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -128, -37, 5, -1\/741?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + 21*p**2 + 31*p + 229. What is the thousands digit of z(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/4785326 and -103\/18.\nAnswer: 43067934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3*h - 22. Let x be v(9). Suppose 0 = -x*s - 3*n + 26, -2*s - 2*s + 26 = 5*n. Factor -3*a**3 - 2*a + 0*a - a**3 + 3*a**2 - 8*a**2 - a**s.\nAnswer: -a*(a + 1)**2*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/20 and 19\/92.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 AM and 11:15 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**2 + 28*z - 3. What is the remainder when 51 is divided by r(-15)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81134, -162342, -243554, -324770, -405990, -487214, -568442?\nAnswer: -649674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 1*5*((sqrt(242) - (sqrt(242)*-1 + -1)) + sqrt(242))*2*2*1)**2.\nAnswer: 26400*sqrt(2) + 871600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-3 - 0) + (-3 - -6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4*(-1 - 18\/(-8)). Let w(u) be the second derivative of -3\/50*u**b + 1\/75*u**6 + 0 + 0*u**2 - 1\/15*u**3 + u + 1\/10*u**4. Factor w(s).\nAnswer: 2*s*(s - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 298601637?\nAnswer: 3, 317, 313987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(6\/4)*(-170)\/85.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4577 - -4732. What is the third biggest value in x, 0.3, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-14) - (-668)\/14. Suppose 3*x = -u - 4*u + 146, -2*u + d = -4*x. What is the highest common factor of 14 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**18*t)**(-14)\/(t**(-18\/5)*t*t*t*t*t*(t**(-2\/15)\/t)\/t) assuming t is positive.\nAnswer: t**(3371\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 + 10*q**2 - 7*q - 22. Let z be i(6). Suppose -15*l + z = 20. Solve 5*h = l*r - r + 12, 0 = 4*h - 2*r - 10 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 + 167 - 167 - 3*z. Let a(h) = -6*h**2 + 16*h. What is 3*a(x) + 16*o(x)?\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -22*b. Let x(i) be the first derivative of i**5\/24 - 26*i**3\/3 + i**2\/2 - 70. Let c(g) be the third derivative of x(g). Determine c(u(p)).\nAnswer: -110*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, f: 4, r: 3, n: 3}. Give prob of sequence hfnn.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/15 + (-78)\/(-15). Suppose -3*s + 357 = 5*x, l*s - 11 - 200 = -3*x. Does 12 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2196700 (b) 14 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6842833 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Solve -38*n = -118*n + 6*n - 6808 for n.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 5 = -5. Suppose -3*r - q = -14. Suppose 0 = 4*t + 3*a - 4 - 30, 31 = 3*t + 5*a. Solve r = 4*b, y = -y - b + t for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1791 - -1810. What is the remainder when 40 is divided by l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18.0055 + 18. Round n to four dps.\nAnswer: -0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(36\/11))**(-1)\/(r**(-22))**(-2\/13) assuming r is positive.\nAnswer: r**(-952\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + a, 0*c + 2*a + 2 = -c. Suppose -5*v - 58 + 18 = 0. Is c\/v - (-399)\/12 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24144 + -101?\nAnswer: -24245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -31*a. Let u(x) = -13*x - 4. Let i(y) = 70*y + 21. Let j(k) = -4*i(k) - 21*u(k). Give g(j(f)).\nAnswer: 217*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y = -2*y - 6, -2*m - 7 = 3*y for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7349808 to the power of 1\/4, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 13*y**2 + 2*y + 1. Let n be l(-1). Is 93\/n*(2 + 2) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36 - -41. Suppose -d*s + 28 = 2*c, 0 = -s + 2*c + 16 - 8. Suppose 3*p - 13 - 14 = 0. Solve -a = -s*a + 2*k + p, -4*a + k = -6 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*g - 6*g + 138 = 0. Let r(t) = -3*t + 13. Give r(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2. Let m be (5 - -61)*(-2)\/(-6). Let a(g) = -38 + g + 16 + m. Give -3*a(v) + u(v).\nAnswer: -3*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c - 995c1?\nAnswer: -995cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1539.5 (b) 4 (c) 4\/25 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -444\/11 or 0?\nAnswer: -444\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -5*a**2 - 111*a - 4. Let o(h) = -14*h**2 - 334*h - 11. What is 4*o(n) - 11*u(n)?\nAnswer: -n**2 - 115*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1770160395 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 571549602 a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 3*s**2 + 2*s + 2. Let y = 72 - 54. Suppose -2*g = -4*l - y, -9 = 5*l - 2*g + 4*g. Calculate x(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 15*l - 204. Let b be m(14). Solve 0 = r + 2*o - 3, -3*r + 9 = b*o - 7*o for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 778239, 1556505, 2334771, 3113037, 3891303, 4669569?\n\"Answer: 778266*u - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -858*q = -15*f - 861*q + 21, -2*f - 8 = 4*q for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-2) + 323\/34. Does -7 = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27 - -32. Suppose 3*a = 2*o + 13, -z*o - 11 = 3*a - 31. Suppose -5*s + 24 + 41 = -5*y, 4*s - 25 = -a*y. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 3*z - 63, -z - 4*z = -v - 121. Let o = -18 + z. What is the least common multiple of o and 5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 8.853404g?\nAnswer: 0.008853404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27063.\nAnswer: 3, 31, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1159.\nAnswer: 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 5*v + 3*v + 34 = 0, -5*l + 38 = -2*v. Let d be (5\/20*-3)\/((-2)\/l). Solve -12 = -0*k - d*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -k**3*o*q - 7*k**3*t**2 + 54*k*o*q*t - k*o*q - 3*k*q*t - 65*o*q*t**2 - o*t wrt t.\nAnswer: -14*k**3 - 130*o*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*f + 77*f = 68. Put -40, f, 5 in increasing order.\nAnswer: -40, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 56? (a) 0.08 (b) -18 (c) 1\/3 (d) -2\/5 (e) 44\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000174157536 to 6 dps.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2\/2247 (b) 3 (c) 2\/81 (d) -8 (e) 23 (f) -10\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3*i - 3. Let r(o) = 5*o - o - 5*o. Let f(s) = 2*r(s) + x(s). Determine f(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6936521 + -36.09562?\nAnswer: 6936484.90438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b\/b**(-28)*b*b**(-30) assuming b is positive.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 56*h**2*m*q + 3*h**2*m + 5*h**2*q - 10*h**2 - 1101*h*m*q + 2*m*q + 3*m + 2 wrt h?\nAnswer: 112*m*q + 6*m + 10*q - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1821, -14762, -49993, -118692, -232037, -401206, -637377, -951728?\nAnswer: -1355437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3*b**2 + 2*b - 2. Let c be (-47)\/188 - (-81)\/4. Suppose -c*d + 16 = -12*d. What is h(d)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -329, -697, -1121, -1631, -2257?\n\"Answer: -5*i**3 + 2*i**2 - 339*i + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1579\/4 + 396. Factor 0 + 1\/2*x - 1\/2*x**3 - i*x**2 + 5\/4*x**4.\nAnswer: x*(x - 1)*(x + 1)*(5*x - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in 5, -2\/235, -3\/2, 0.6?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 1\/2965627?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-1)*q)\/(q\/(q*q\/((q*q**(2\/51))\/q*q))) assuming q is positive.\nAnswer: q**(49\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 9:58 PM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15012213127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 491 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-10))\/((-918)\/255)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -540.3 - -539. Let n = -2009.99104 + 2008.7. Let o = t - n. Round o to three decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 7*f**2 - f - 4. Let v(j) = -7*j**2 + 2*j + 3. Let m = 13 + -10. Let g(s) = m*w(s) + 4*v(s). Let u(l) = 10*l**2 - 7*l. Determine -7*g(h) - 5*u(h).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 4*h - 239. Let c(i) = -13*i + 720. Calculate -2*c(v) - 7*q(v).\nAnswer: -2*v + 233","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 626824?\nAnswer: 2, 11, 17, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 9, 0.3, 5, -16.63, -0.4, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 3622956.4 to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-9))\/((-5)\/6).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 506 = -w + 125. Let d be w*((248\/(-12) - 2) + -4). What is d rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 299 and 1079?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10338651 divided by -78921?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1146128737?\nAnswer: 13, 88163749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 2*g - 5*g)*(2*g**2 + g**2 + 2*g**2)*(-g**2 - 1 + 1).\nAnswer: 15*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 27*y**3 + 6*y**2 + 6*y - 6. Let j(q) = -q**3 + q**2 + q - 1. Let r(u) = -u**3 + 52*u**2 - 311*u - 186. Let k be r(45). What is k*j(g) + x(g)?\nAnswer: 33*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v + 2*k - 14, 0 = v + k - 56476 + 56475 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -361 (base 8) in base 7?\nAnswer: -463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of -z**4\/4 - 4*z**3\/3 + z**2\/2 - 6*z - 1. Is s(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10871605 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = -3*a + 18. Suppose 2*y + 3*s = 2, 4*y + 2*s = -a*s. Let v(h) = -h + 0*h + 79 - 82. Let r(z) = 1. What is y*v(t) - 6*r(t)?\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8781, 1, 1\/5, -122?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = -5*b - 34 + 39, 2 = 2*b for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 365 - 76. Suppose 121 = -3*c + h. What is the greatest common factor of 8 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.8 + -1.4. Let x = -1 - q. Put 0.4, -0.5, x in ascending order.\nAnswer: -0.5, x, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**5 + 45*j**4 + 51*j**3 - 357*j**2 - 54*j + 312 = 0. What is j?\nAnswer: -13, -4, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.01 - -7.01. Let f = -4.3 + -3.1. Let i = h + f. Which is the smallest value? (a) i (b) 2\/3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4500 and 750.\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 266?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 67*q**2*r**3 + 2*q**2*r*z**2 + 9*q*r**3*z**2 - 273*q*r**2*z - 2*q*z**2 wrt r.\nAnswer: 402*q**2 + 54*q*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2198078 is divided by 849?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 30*m + 21. Let a be 13\/((5 + -8)*(-1)\/(-9)). Is 62 a factor of f(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -86.\nAnswer: -34.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 745.\nAnswer: 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*j**2 + 20*j - 20*j)*((0 + 4 - 1)*(2*j - 2*j + j) - 2*j + 0*j - 17*j).\nAnswer: 192*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 617074560 to the nearest integer?\nAnswer: 851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -805a4 (base 12) to base 6.\nAnswer: -3323524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 5*u + 150, -2*t - 3*u = -6*u + 65. Suppose -2552 = -14*v - 2*r, 46*v - 3*r = 48*v - 370. Let z = t + v. Is z a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of -d**6\/120 - d**5\/60 - d**4\/24 + d**3 + 7*d**2. Calculate the smallest common multiple of q(0) and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hrhr when four letters picked without replacement from {n: 2, w: 1, r: 1, h: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6536996 is divided by 48782?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -3*j**3 - 2*j**2 - 3*j - 1. Let s be (1\/(-2))\/((-2)\/(-8)). Is k(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56\/(-70))\/((-2*374\/440)\/((-1)\/(-4)))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 6:44 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 70*m**2 + 158*m + 146. Give i(-1).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 - 3 + 7 - 27)*(43017*i - 2327*i**2 - 43017*i) in the form r*i**2 + k*i + o and give r.\nAnswer: 67483","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 51*a**3 + 3*a**2 + 4*a - 4. Let z(o) = -49*o**3 - 2*o**2 - 3*o + 3. What is -3*i(w) - 4*z(w)?\nAnswer: 43*w**3 - w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 2*u - 31 = 3, 2*u = -2*z + 22. Suppose -z - 2 = -5*m - j, j + 12 = 5*m. Find the third derivative of 3*y**4 + y**4 + y**2 - 4*y**4 - m*y**6 wrt y.\nAnswer: -240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4773*c**4 + 4300*c**4 - 28*c**5 + 129*c + 29*c**5 wrt c.\nAnswer: 20*c**3 - 5676*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/232222440 and -1\/82480.\nAnswer: 464444880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 25 = 5*m, 4*p = 7*p - 4*m - 19. Suppose -p*v = 2*c - 270, -4*c = -2*v + v + 54. Calculate the highest common divisor of 18 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of -g**7\/315 - 19*g**6\/180 + 2*g**5\/9 + 8*g**2 - 58. Factor w(h).\nAnswer: -2*h**2*(h - 1)*(h + 20)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/p**14*(p*p*p\/(p\/(p\/p**(-25)))*p)\/p assuming p is positive.\nAnswer: p**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 6*h**3 + 343*h**2 + 67*h + 254. Calculate k(-57).\nAnswer: -316","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 68708?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -96889*j**3*w + 2*j**3 + 278625*w wrt j?\nAnswer: -290667*j**2*w + 6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 4 + 11 + 913*b**2 + 21*b + b**3 - 900*b**2. Does 21 divide y(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 410, 411, 412, 413?\nAnswer: 414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of -7*u**4\/24 + 24*u**2. Let q(y) be the third derivative of y**5\/60 + 12*y**2. Determine m(q(p)).\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a minute in milliseconds?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-135)\/(-30))\/(49\/(-14)*15\/70).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**3*l)\/(l\/l**5))**21 assuming l is positive.\nAnswer: l**189","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 + -112 + (6 - 4 - -11) + 1 + 5?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 100 (c) -0.046 (d) -3\/8 (e) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/21 - (-107)\/7. Suppose 5 = -2*m - 0*m + 5*p, 0 = -5*m + 4*p + 13. Suppose 0 = 5*o - m. Solve -4*d = q + o for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21673337.8600083 + -21673336. Let c = 0.227 - -1.633. Let v = c - t. Round v to six decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3 + 646*i**2 - 1952*i + 1304.\nAnswer: 2*(i - 2)*(i - 1)*(i + 326)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -14*m**3 - 11*m**2 - 69*m - 195. Determine d(-3).\nAnswer: 291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 7) to base 4\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8 + -4 + 0\/2. Suppose -2*l + n*l + 20 = -3*p, -l = 4*p + 20. Let k be 266\/28 + 2\/p. What is the greatest common divisor of 9 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.39 (b) 1\/4 (c) -9 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -101555331 - 14?\nAnswer: -101555345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.008 + 2.008. Let l = 4.2 + -3.8. Which is the closest to j? (a) l (b) -0.3 (c) 7\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -208 = -y - y. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*p - p + 0*p)*(-3 + 5 - 5) to x + g*p and give g.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*t**3 + 0*t**3 - 2*t**3 + 4*t**3 + 3 - 3 + (1 + 0 + 0)*(-t**3 - 6*t**3 + t**3))*(8*t - 3*t + 0*t) to f*t**3 + v*t**2 + z*t**4 + w + k*t and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.7, 0.5, -5, 0.48?\nAnswer: 0.48","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of -11*j**4\/12 - 83*j**2 + 160*j - 1. What is the derivative of f(c) wrt c?\nAnswer: -22*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-1)\/(n*(n*((n\/(n\/(n\/n**(-2\/3))))\/n)\/n)\/n*n)*n\/(n\/(n**1*n))*n**(-5) assuming n is positive.\nAnswer: n**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*q - 41*q + 16*q - 4930 = 51*q for q.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*v - 2*k - 4, 3*v + k = -1. Suppose -2*n + 10*f + 1059 = 9*f, -4*n - 4*f + 2124 = v. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in -2, 16, -12.9, 0, -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -142, -144, -146?\n\"Answer: -2*y - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22*b**6 + 24*b**5 - 3*b**4 - 6*b**2 - 3299*b.\nAnswer: -2640*b**3 + 1440*b**2 - 72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 563167 is divided by 140790?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -119 in -152, -3, 15?\nAnswer: -152","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -19, -2\/187, 8 in descending order.\nAnswer: 8, 0.2, -2\/187, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -28*w - 1399. Let q be l(-50). Solve -5*y - 3*x + 5 - q = 0, -3*y = -3*x + 12 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/32*(-3038)\/10633.\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of f**6\/40 + 3*f**4\/8 - 4*f**3\/3 + 13*f**2. Let n be t(8). What is n rounded to the nearest 100?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -59, 4, -10 in descending order.\nAnswer: 4, -10, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -168 - 31 - 125. Is -310 greater than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 482933 - 241580 - 241353 - 9*i**2 + 10*i + 6*i.\nAnswer: -9*i**2 + 16*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 10686?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14\/(-6) - (-11)\/33. Suppose -6 = 3*s - s. Which is greater: x or s?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 1032 = 4*t, 575 = -5*t + u - 734. Let q = -365 - t. Is -2 + (-5)\/(20\/q) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197*g**2 - 507*g**2 + 47*g**2.\nAnswer: -657*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) - (sqrt(704) + -1))*2 - (sqrt(396) + 0 + -5).\nAnswer: -6*sqrt(11) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-2)*f**(-3\/5))\/(f*f*((f*f*f**(-2\/3))\/f)\/f)**19 assuming f is positive.\nAnswer: f**(-404\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13932 divided by -3483?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 2) to base 5\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60, -128, -196, -264, -332, -400?\nAnswer: -468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 11*t**2 - 119*t + 13. Give u(7).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -14. Let f = -3405 - -3240.9. Let l = 164 + f. Which is the nearest to l? (a) -1 (b) 2\/9 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a factor of 707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.63712692 to two dps.\nAnswer: 0.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 + 2 - 2)*(-95 + 127*x**2 + 95) + x**3 - x**3 + 2*x**4 + (-2 + x + 2)*(0 + 0 - 3*x**3).\nAnswer: -255*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssgsssg. Give prob of sequence ss.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1023211 + 0?\nAnswer: -1023211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -8737865 greater than -8737863?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9664123*r**3 - r + 440285918 wrt r?\nAnswer: -28992369*r**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -1400*m**2. Let j(x) = 3*x**2 - x - 4. Let r(t) = -64*t**2 + 20*t + 80. Let n(g) = -20*j(g) - r(g). Calculate n(p(b)).\nAnswer: 7840000*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-675)\/(-54)*2*1. Let f = g - 23. Sort f, 0, 1, -4.\nAnswer: -4, 0, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5131, -10227, -15193, -19957, -24447, -28591?\nAnswer: -32317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/4)*f\/(f**(-3)\/f*f))\/(f*f**(-1)*f\/(f*f\/(f*(f**(-2)\/f)\/f))))**21 assuming f is positive.\nAnswer: f**(651\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 7*v**2 + 4. Let u be j(7). Let i(m) = -12 + 0*m - 20 + 14*m - u*m. What is the tens digit of i(20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h. Let k(p) = 12985*p - 2. Give v(k(s)).\nAnswer: -12985*s + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from znznznzzzzzz. Give prob of picking 1 z and 1 n.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, i: 1, j: 3, s: 3, o: 3, w: 7}. What is prob of sequence ijj?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 184*i + 15378 - 9490 for i.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 44 = 4*l. Let a = l + -6. Suppose -a*m - 4*r + 241 = 0, 35 = m + 3*r - 11. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39983, 41881, 45043, 49469?\nAnswer: 55159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 46, 83, 158, 283, 470, 731?\nAnswer: 1078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 71617?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 + 11*f**2 - 29*f - 27. Let r = -9236 + 9223. Calculate u(r).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 5*r**2 - 2*r + 10. Calculate u(-5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 - w**2 + 10. Let c be 1\/((-8)\/300*(-2)\/4). Let p = c + -75. Calculate the lowest common multiple of 10 and a(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - ((-21)\/12)\/(3 + -4)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44065 to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of -3*k - 1\/2*k**3 + 0 + 0*k**2 + 1\/12*k**4. What is the second derivative of b(w) wrt w?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o + 2. Let d be u(5). Let m = d + 11. Suppose m*x - 21 = -0*x. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + -4802957?\nAnswer: -4802979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 23*u**2 - 315*u - 102. Let t be h(24). What is the highest common divisor of 70 and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 30 = 3*i - 5*i, 39 = -i + 5*s. Let g = i - -64. Let x be (4 - 2)*-2*(-40)\/32. Calculate the greatest common factor of x and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 4, -2\/3, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -12. Let h = -5 + s. Let f = 1.4 - 2.4. What is the nearest to -1 in 2\/5, h, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1799104 - -0.18. What is y rounded to 5 dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 13. Let a(b) = -b**2 - 8*b - 6. Let f be a(t). What is the greatest common divisor of f and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -22*t + 19. Let a be 483\/(-98) + (-4)\/56. What is the units digit of o(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6327012 + 0.1977074.\nAnswer: 0.8304086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -50551 != -13291?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 18293430 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 217 and 217?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/9))**22*(t\/t**(5\/3))\/t**(-3\/7) assuming t is positive.\nAnswer: t**(-323\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9\/53? (a) -1\/5 (b) 2\/33 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*g**2\/7 - 265935*g\/7 + 512868\/7 = 0.\nAnswer: -2164, 79\/41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -250*d**2 + 10*d + 30. Let v(h) = 500*h**2 - 21*h - 70. Let r(l) = 7*q(l) + 3*v(l). Let f(p) = -83*p**2 + 2*p. Calculate -7*f(n) + 2*r(n).\nAnswer: 81*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1492 or 7458\/5?\nAnswer: 1492","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of x**4\/6 - 5*x**3\/6 - 13*x**2\/2 - 14*x. Let b(l) = l**2 - 3*l - 7. Let z(y) = -5*b(y) + 3*j(y). Factor z(d).\nAnswer: (d - 2)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -9\/7, 2\/11, -12\/19, 13 in decreasing order.\nAnswer: 13, 2\/11, -0.4, -12\/19, -9\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/50 of a microgram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g + 4*j = -31*g + 28*g - 333, 5*g - 323 = -j for g.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 AM and 8:58 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 + 5)\/(12 + -7). Sort -0.5, -5\/6, -2\/39, o.\nAnswer: -5\/6, -0.5, -2\/39, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3864 = 30*v - 27*v. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 + s**2 + 8*s**3 - 12 - 36*s**3 + 21 in the form x*s**2 + g + d*s + t*s**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 117115 a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m**2 - m. Suppose 0 = 5*a + 5, -3*x + 3*a + 3 = -9. Suppose -4*t = f + 1, -x*f - 3*t + 10 = -4*t. Suppose f*c + 2*c = 10. Give p(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16729235.\nAnswer: 5, 3345847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 323 by -153.\nAnswer: -19\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -11001?\nAnswer: -10111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 205685?\nAnswer: 5, 31, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 803894 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than 0.4379?\nAnswer: 1.4379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*f**2 + f - 397 + 3*f**3 + 4*f**2 + 395 - 11*f**4 to the form i + o*f**3 + s*f + a*f**2 + u*f**4 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*t**2*z**3 - 2*t**2*z**2 - 12*t**2*z + 38*t*z**3 + 27*t + 2*z**3 wrt t?\nAnswer: 6*z**3 - 4*z**2 - 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 441 in -12\/17, 3, 1\/5, -1, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1012219 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182*q + 5838 + 84 + 2443 = -4375 for q.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -368*u**2 - 9*u**2 + 32*u**2 - 22*u**2 + 9*u.\nAnswer: -367*u**2 + 9*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*c + 25 = -5*j - 16*c, 20 = -4*j + 5*c for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 36\/19681?\nAnswer: 36\/19681","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -190, -385, -582, -781, -982?\nAnswer: -1185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a - 3*v - 16, -5*v + 7 = 5*a + 47 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -3*c + 2*h + 7, -3*c + 21 = 3*h. Solve 5*q - 14 = 2*t, q + c*q = -4*t + 28 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 105*u**4 - 88 wrt u?\nAnswer: 420*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8 or -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2109 and 228.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 293?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of -j**6\/120 - j**5\/10 + 2*j**4\/3 + 2*j**3\/3 - 20*j**2. Let u be p(-8). Solve -l - 3*m - u = l, -5*m - 11 = -l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.11 + -0.03. Let r = 151 - 150.92. Let u = t - r. What is the nearest to -3 in 3, u, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2611199 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**5*q*q**5)\/((q\/(q\/(q*q**(-3))))\/q*q*q**(-1\/4)) assuming q is positive.\nAnswer: q**(57\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1392231603 by -47.\nAnswer: -29621949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 42?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1071 and 203.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + m + 35 = 5*f, 0 = -2*f. Let l(d) = d - 2. Let r(q) = 2*q - 5. Suppose 4*w + 11 = 5*c - 21, 3*w - c = -13. What is m*l(i) + w*r(i)?\nAnswer: i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of -q**7\/21 + q**4\/24 + 2*q**2. What is the second derivative of z(v) wrt v?\nAnswer: -120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -23010 to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 510798643.\nAnswer: 17, 30046979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122*q + 65*q + 59*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3378889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33041 = 654411*y - 655114*y for y.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16645\/11 or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/87 + ((-41)\/15 - -2)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/28*-10 - 1.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = 9*p + 20 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2. Let d(k) = k**2 - 4*k + 1. Let s(f) = f**2 - 8*f - 5. Let t be s(9). Let i be d(t). Let q(v) = 2 - 1 - 3*v**2 - i. Give q(n(z)).\nAnswer: -3*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -22 - 22?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2741 - -173141?\nAnswer: 175882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j*j\/(j\/((j*j\/(j**(-29)*j))\/j))*j*j**(27\/2)\/j*(j**7)**(-6\/17) assuming j is positive.\nAnswer: j**(1429\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 1)*(6 - 1). Let k(f) = -8 + 4 + 6*f - 2 - 3*f. Let o(l) = 4*l - 7. Calculate q*k(d) + 4*o(d).\nAnswer: d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 - 10*u + 26. Let f be d(4). Let l(y) = -y**2 - y - 1. Let t(w) = -3*w**2 + w - 2. Determine f*l(z) - t(z).\nAnswer: z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sgfxysssgxsssfyfsfyf. Give prob of picking 1 s, 1 f, and 1 x.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6571 (base 13) to base 6.\nAnswer: 145211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 215*f = 218*f - 39. Let h(a) = a**2 + 6 + f + 8*a**2 - 19. Let s(g) = 4*g**2. Determine s(h(c)).\nAnswer: 324*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -43*z**2. Let h(y) = 6*y. What is h(f(c))?\nAnswer: -258*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 PM and 10:16 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2319 + 25537\/11. What is the common denominator of k and 53\/5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 36*y + 27. Let i be p(4). What is the highest common factor of i and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 815798097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/8 + 0\/(-1). Let d = -4 + 3. Let k = -1 - d. Which is the nearest to -0.1? (a) k (b) 3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 12 = m, -3*m - 3*s = 2*s - 36. Suppose -30*y = -16 - 104. Solve p + 9 = 4*p, y*p = 5*l + m for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13391\/35442 - -13\/358. Find the common denominator of -10\/51 and r.\nAnswer: 1683","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0008 - -5.9992. Is 1\/2 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 0 + 10 + b - 1. Suppose -2*j + 1 + 23 = -3*q, 2*q + 31 = 3*j. What is the remainder when x(6) is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 90762 to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3995133kg in micrograms?\nAnswer: 399513300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vwwwcvccwvvwccpppcp. What is prob of picking 3 c?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -304 (base 7) to base 8\nAnswer: -227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 12:48 PM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -14bf - -5?\nAnswer: -14ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -57576*r - 2. Let g(p) = p - 675. Calculate x(g(s)).\nAnswer: -57576*s + 38863798","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 1643102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20.1 - 20. Let t be -2 - (-2 + 31 - -3). Let o = 135\/4 + t. Which is the second smallest value? (a) o (b) 0 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 55997, 223934, 503829, 895682, 1399493, 2015262, 2742989?\n\"Answer: 55979*q**2 + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v + 60. Let i be t(0). Suppose -3*q - 4*y + 3 - 7 = 0, -4*q - y = -12. Suppose -q*d + 12 = -i. What is the highest common divisor of 162 and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 30 - 66066221?\nAnswer: -66066161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -888*o - 2018*o - 47832 - 10288 for o.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) -0.4 (c) -8\/4995 (d) -1 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30 is divided by 21.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - (0 - 9)) + (10 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -5. Let x = 354.0937 - 0.2937. Let f = x + -354. Which is the closest to f? (a) 0.5 (b) v (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 j when two letters picked without replacement from jzjjjwjzzwjjjwzw.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 900 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 485.5365 centimeters to nanometers.\nAnswer: 4855365000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xuxxnnxnxxux. What is prob of sequence uu?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0054795052 rounded to 4 decimal places?\nAnswer: -0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-335)\/9 - (92\/207)\/(-2).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 2*m**2)*(2*m**2 + 2*m**2 - 5*m**2) + 5*m**4 + 0*m**4 + 8*m**4 in the form n*m**3 + i*m + f + y*m**4 + q*m**2 and give y.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25268*f**2 + 58013*f**2 + 29157*f**2.\nAnswer: 112438*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -10. Let r = -7.5 - -8.5. What is the second smallest value in g, 2\/3, r?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j + 104. Calculate the remainder when 295 is divided by r(-5).\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fifteen sixteenths of a centimeter?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 10:32 AM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3970096?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**4 - a. Let x(v) = 12*v**4 + 10*v. Let k(j) = -5*t(j) - x(j). What is the second derivative of k(g) wrt g?\nAnswer: -84*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93999 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1132769 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 - 11*j**2 + 22*j + 10. Calculate k(4).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b**5 + 5*b**4 - 65*b**3 - 5*b**2 + 240*b - 180 = 0. Calculate b.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23771.8 + -128447.3. Let n = b - -151552.493. Let l = n - -667. Round l to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 87 + 167 = 0. Let i = 362 + a. Let p be 1\/((-33)\/36 + 1). Calculate the highest common divisor of i and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13350 divided by 26\nAnswer: 6675\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y**2 - 23*y - 50 - 10*y + 33*y as u + o*y**2 + x*y and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 33 = 2315*i - 2312*i, 3*i = 21. What is the greatest common divisor of o and 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**2 + 27*o**2 + 52*o**2. Let r(u) = 70*u. Calculate v(r(n)).\nAnswer: 396900*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(156) + (sqrt(156)*3 - sqrt(156)))*5 + sqrt(156) + sqrt(156) - sqrt(156) - sqrt(156))\/(sqrt(108)\/(sqrt(9) - (sqrt(9) - sqrt(9)*2))))**2.\nAnswer: 11700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 m, and 1 a when four letters picked without replacement from afccbmammcmmcmcuf.\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4945 + -4917. Let p = 94 + -66. Is p greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3989 - -5746. Suppose -11*a = m + 1400. Are -287 and a nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 0.5897, -8, 5, -24, 4?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -32841 and -0.449.\nAnswer: 14745.609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1293852890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.26332 and 82?\nAnswer: 21.59224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1436.7 + 1437. Which is the smallest value? (a) -3 (b) x (c) 0.13 (d) 15 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 4*j - 18. Let v be t(5). Find the third derivative of 9*o**v - 13*o**6 + o**3 + 11*o**3 - 12*o**3 wrt o.\nAnswer: -1560*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 424\/(-96)*-3 + -14. Let x = -0.3 - -0.63. Sort v, 2\/11, x in ascending order.\nAnswer: v, 2\/11, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 304614719?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -2. Let p(l) = -37*l**2 + 234*l - 68. Let r be p(6). Solve y = m + r*a, -a = -0*a for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13752 = 28*o - 20*o. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 28*u**3 - 2*u**2 - u + 2. Determine o(1).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l - 1. Let m be j(-6). Let i = m + 12. Solve 3*z - 4*t - 37 = -9, i*t + 40 = 5*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + y + 60 = 0. Let t be (-3)\/((-27)\/y)*3. Suppose -k + 6*k + 5*o = -20, -t*k - 20 = -2*o. Sort -5, 5, k in increasing order.\nAnswer: -5, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2522628 minus 5?\nAnswer: 2522623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 12 = -2*m. Calculate the remainder when m + 0 + 3 + 19 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -j**5 - 15377*j**4 + 30758*j**3 - 2*j**2 - 30757*j + 15379 = 0.\nAnswer: -15379, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of 2\/15*u**4 - 4*u - 1\/5*u**2 + 0 - 1\/5*u**3. Suppose k(s) = 0. Calculate s.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.8 and -17.2.\nAnswer: -13.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*d + 0*d + 228 = -726 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 206887?\nAnswer: 206887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -55*y**3 + 7*y**2 - 9*y - 8. Is j(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6134?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i + 3. Let j be u(0). Suppose 0*f - 2 = f - 2*d, 0 = -3*f + j*d. Suppose -9*w + 75 = 21. Solve w = 2*p - f for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213 - 27 = 1242*w - 1239*w for w.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10010000100 (base 2) in base 16?\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 9 = 4*g, 2*g + 18 = 5*i + 5. Let u = 9 + -4. Let j = 10 + -5. Solve -u*m + s + 7 = 0, -j*m + 2*s = 2 - g for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.071 - -6.471. Let r = b - 6. Let c = -0.39994 + r. Round c to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.83709 + 0.16291. Let y(k) = -k**2 - 12*k - 22. Let s be y(-9). What is the nearest to p in s, 0.2, -2\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-11))\/i**4)\/(i**10)**(14\/5) assuming i is positive.\nAnswer: i**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -4*y + 10. What is r(8)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4372330661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -68*q**3 + 400*q**2 - 564*q - 72 = 0?\nAnswer: -2\/17, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 210 = 3*u + 87*l, -3*u - 8 - 2 - 22 = u - 3*u - 5*l for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ydydyoyddddddydw. Give prob of sequence dw.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1218 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (10\/(-4) + 2)\/((-7)\/56784)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4092165428.\nAnswer: 2, 13, 23, 1097, 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r - 13 - 8*r + 40 - 3*r**2 + 29 - 11.\nAnswer: -3*(r - 3)*(r + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k**3 - 3*k**3 + k**3 + (-23*k**2 + 44*k**3 + 23*k**2)*(-1 - 4 + 4) to the form f*k**3 + r + p*k + o*k**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/22 + (-15637)\/2090 and 0 + (0 - (-249)\/(-18))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-1 - 2) + (18 + 1 - 8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -139438169 and 0.5?\nAnswer: 139438169.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 919, 921, 923?\nAnswer: 925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25471 = 125*r - 147*r + 3943. Let u be 2\/(-4)*-1*-1588. Let k = r + u. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20060.7 take away 50?\nAnswer: 20010.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 26771 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 9:00 PM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + 0 - (-16)\/32*6. Let p(f) = f**3 - 2*f**2 - 6*f + 3. Let v be p(4). Let i = v - -1. What is the highest common divisor of q and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 257*i + 107 - 1491 = 1443 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a factor of 163420016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13657\/34145 - 1\/34145. What is the closest to g in -3, 43\/4, 2\/11, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (30\/4)\/(1\/2). Let p(b) = b**2 - 8*b + 19. Let u be p(5). Solve -u*d - o = 5*n, -4*n - 3*d - 21 = 2*d for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3*p = 35, 5*y - 65 = y - 5*p. Let a(f) = 3*f - 25. Let j be a(y). Sort j, 4\/5, 3\/4, 0.1 in descending order.\nAnswer: j, 4\/5, 3\/4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 3:27 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -3*s - 3. Let c be q(2). Let l(p) = p**3 + 8*p**2 - 11*p - 10. Let r be l(c). Solve 4*b = -r - 12 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -615, -22, 0, -3, -5, 4.\nAnswer: -615, -22, -5, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 g when three letters picked without replacement from wqggggwqqqwwwwgw?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of -w**4\/24 - w**3\/9 + 7*w**2\/12 - 2*w\/3 - 28. Factor d(h).\nAnswer: -(h - 1)**2*(h + 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95 + 119 = -12*t - 108 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4026.814 weeks in nanoseconds?\nAnswer: 2435417107200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 1, 6 in decreasing order.\nAnswer: 6, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) + sqrt(448) + 0 + sqrt(448))*2)**2.\nAnswer: 8092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -313140, -313138, -313136?\nAnswer: -313134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -158? (a) -2 (b) 0.2 (c) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 986251365 to the nearest one million.\nAnswer: 986000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 588 - 360 = 0. Suppose 4*l - 472 = 2*u + 8*l, 2*u + i = -2*l. Let y = u - -355. What are the prime factors of y?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-25)\/5)\/(-1*1). Let c = y + -1. Suppose c*h - 21 = 11. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 6*m = 0. Let y(i) = -i + 12. Let o be y(m). Suppose q = 3*q - o. Solve q = -d - d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iinncnccc. Give prob of sequence cnn.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 317570.\nAnswer: 2, 5, 11, 2887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -96 + 57. Let b = v + 39.272. Let u = b + -0.2. Round u to 2 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3820 is divided by 225?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of -c**6\/120 + c**5\/12 - c**4\/8 + c**3\/2 - 5*c**2. Suppose -3*p + 14 = 5. What is the remainder when 33 is divided by y(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -3*z**3 + 4*z**2 + 4*z - 7. What is the remainder when t(-3) is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*u + 25*u - 37152. Suppose 6*b + 18*b = u. Does 43 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47 divided by 10.\nAnswer: 47\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7818475.\nAnswer: 5, 7, 43, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1743088 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2032 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1847 (b) 5 (c) -92\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 6, -12\/17, 25, -1\/2 in descending order.\nAnswer: 25, 6, -2\/5, -1\/2, -12\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -327, -1237, -2487, -3873, -5191, -6237, -6807, -6697?\nAnswer: -5703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1704)\/24 + (-384)\/((-352)\/(-11))?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24 - 634*g + 633*g - 126)*(-g**3 + 0*g**3 - g**3).\nAnswer: 2*g**4 + 204*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.29 * 6.281373.\nAnswer: 1.82159817","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -7. Suppose -4*j = 4*z - 52, 0*j + 4*z = 3*j - 4. Suppose -12*x = -14*x + j. Which is the smallest value? (a) u (b) -2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 530 = -q - 90. Let n be (-9*1)\/((-6)\/q). What is n rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1613060 and 8260?\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -255*a*l*p**4 + 6*a*l*p**2 - 2*a*l*p - 189*a*l + 2*a - l wrt p.\nAnswer: -3060*a*l*p**2 + 12*a*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -105 - -182. Calculate the greatest common divisor of m and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 1.113.\nAnswer: 0.2226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/4719 and 7\/11?\nAnswer: 4719","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(324) - -3*sqrt(324)*2)\/(sqrt(27)\/(sqrt(9)\/sqrt(3))))\/(sqrt(108)\/(sqrt(45)\/sqrt(5)) + (sqrt(120)\/(sqrt(70)\/sqrt(7)) + sqrt(12) - sqrt(12))).\nAnswer: 7*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 467938?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**2 - 1. Suppose j - 3 = -5. What is the remainder when 39 is divided by u(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 4*b. Let j(q) = -16*q. What is j(i(z))?\nAnswer: -64*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (0 + sqrt(1872) + (sqrt(1872)*-2 - sqrt(1872)))**2.\nAnswer: 7491","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 7 - 4 = 0. Solve 2*x - t*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 810.992 years in decades?\nAnswer: 81.0992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9443, -37900, -85341, -151766?\nAnswer: -237175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 338 - 681793?\nAnswer: -681455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 264750.3t?\nAnswer: 264750300000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 - 6*m + 5. Let h be b(-7). Let u be 2 + h\/2*0. What is the second derivative of -u*a + 3*a**2 - 3*a + 2*a + a wrt a?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55400 greater than 55400?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(-56)*20*8\/10\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**2\/2 + 974401*q\/2 = 0. What is q?\nAnswer: 0, 974401","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/6, 1, 5, -0.015?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j**2 + 36*j + 4. Let w be q(15). Let k = w + -96. Which is smaller: -4 or k?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*d + 399 = 1471 for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (402\/22512)\/((-11)\/(-484))?\nAnswer: 11\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 24*g**4 + 143*g**3 - 2*g**2 + 3*g + 1191440 wrt g.\nAnswer: 96*g**3 + 429*g**2 - 4*g + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 0*g - 170. Let h be 20\/15*g*3. Calculate the highest common factor of 17 and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-43\nAnswer: -12.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 958.3908l to millilitres.\nAnswer: 958390.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3199 a factor of 1058305149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - 2*x**2 - 4*x + 3. Suppose -4 = -b - 0*b. Suppose -14 + 2 = -b*s - w, 2*s + w - 6 = 0. Let a be c(s). Solve a = -2*z + 1 - 9 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, e: 12, g: 3}. Give prob of picking 2 f and 2 e.\nAnswer: 11\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -3*b + 12, -b + 3*b = 2*t - 20. Suppose 0 = -2*q + 3*q - 2. What is the highest common divisor of t and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*((-5)\/5)\/2. Calculate the common denominator of -49\/12 and 0 + x + (-20)\/8.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 65.077 - 0.077. Let i = 131 - j. Let l = i + -65.99999851. Round l to seven decimal places.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(3\/5)*i**12)**47)**27 assuming i is positive.\nAnswer: i**(79947\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -1 + 4 - 2*o - o. Let s be a(5). What are the prime factors of (-38)\/(-4) - 6\/s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 9) to base 10\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2626\/(-808)*(-28)\/1547?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -31*j**2 + 20*j + 71. Let i(y) = 14*y**2 - 10*y - 35. Calculate 9*i(g) + 4*x(g).\nAnswer: 2*g**2 - 10*g - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 14) to base 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*x + 4*v, 2*v - 24 = -4*x - 2*v. Suppose -x*f = -4*t + 3, 4*t + t = 0. Let j = 36 - 143\/4. Which is the closest to f? (a) j (b) -2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 l when three letters picked without replacement from llxlxld.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.2207 rounded to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-70)\/(-4935)*47)\/(2\/3*8)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 941, -1\/12, -1, 1\/6?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(243)\/sqrt(9))\/(sqrt(900) + 3*sqrt(900)).\nAnswer: -sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 663, 0, 9\/5, 0.49 in increasing order.\nAnswer: 0, 0.49, 9\/5, 663","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -10) + -20 + 11 + 9\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11401 (base 11) to base 5.\nAnswer: -1011312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b + 8. Let f = -13 + 20. What is the smallest common multiple of u(-4) and f?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*p + 12*p - 2*t = -162, 5 = p - 3*t for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -336*u. Let b(y) = -y**2 - 7*y - 1. Let q be b(-7). Let z be f(q). Suppose -z - 2708 = -4*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3 = 2. What is the second derivative of -7*f + 0*f + r*f - 2*f**5 wrt f?\nAnswer: -40*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 41 - 41 + 6*h + (7 - 6 + 6)*(-3 - 3*h + 3) - 11*h - 14 + 14.\nAnswer: -26*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -38078132 and 0.4?\nAnswer: 38078132.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -61 + 87. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13837.6 * 0.422.\nAnswer: 5839.4672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 - 4*h + 18. Let n be s(-6). Suppose n*x + 2*x - 2136 = 0. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011011 - 101110101100111101000?\nAnswer: -101110101101001000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -d**2*z - 2*d**2 - 43*d*z - 609*d + 27879*z + 2 wrt d?\nAnswer: -2*d*z - 4*d - 43*z - 609","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -5*m**2 - 140*m - 980 = 0.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.07 - 0.67. Let c = -3.3 + o. Let p = 0.2 + -0.3. What is the nearest to 2 in p, -0.4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-seven fifths of a meter?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 11. Suppose 144*q = 141*q + 384. Let o = -129 + q. What is the closest to o in r, -5, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001241616 to four dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/15*5\/(-1). Let m(w) = -4*w + 1. Let x(y) = -2*y. Let g(u) = 3*m(u) - 5*x(u). What is the units digit of g(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 0*o = -4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 - 30. Let b(o) = -o**2 - 5*o + 1. Let n be b(m). Suppose -c + 69 = -2*q, 3*c - 90 = n*q + 112. Calculate the remainder when c is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 681?\nAnswer: 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 296*k**2 - 588*k**2 + 268*k**2.\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 38 = -d + 7*d, 3*d - 5*o = -34. Which is the second biggest value? (a) d (b) -0.4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1619 - 1986 = 38*c - 94*c - 805 for c.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -268288 divided by 8384?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**0*d*d)**(-15\/2)\/(d\/(d*d\/d**(-1))*d\/((d\/d**0)\/d)) assuming d is positive.\nAnswer: d**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/(-3) - 1)\/1*1. Let j(k) = -8*k - 11. Let n(m) = -7*m - 11. Let x(z) = -6*j(z) + 7*n(z). Give x(v).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-648)\/486)\/(7\/(-30)*4)\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h**2 - 10*h + 3. Calculate l(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6711 - 3229. Is 134 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -942 and 2.\nAnswer: -1884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 716?\nAnswer: 4296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -280, -278, -276, -274, -272?\nAnswer: -270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + 1. Let f(p) be the third derivative of p**6\/60 - p**5\/10 - p**3\/3 - 2*p**2 + 929. Give 6*b(q) + f(q).\nAnswer: 2*q**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 215, 226, 239, 254, 271?\n\"Answer: t**2 + 8*t + 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 133708 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -44788342 times 0.1?\nAnswer: -4478834.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -i - 24. Suppose 12*o - i = 13*o. Let n(v) = v**2 + 8*v + 3. Let c be n(o). Solve 0 = -5*s + c*d, -3*d = 4*s - 2*d for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -27505133 or -55010263\/2?\nAnswer: -55010263\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 7*g + 75 = 0. Calculate the least common multiple of (20\/g)\/(20\/165) and 9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 2. Let s(j) = -j**3 - 29*j**2 + 30*j + 25. Let g be s(-30). Solve u = -t*b - 11, -4*b - g = -3*u + 6*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 7 + 3*p + 3*p.\nAnswer: 6*p - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 20 and -22067.\nAnswer: -22047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -144 (base 8) to base 2.\nAnswer: -1100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -48, -195, -440, -783?\n\"Answer: -49*m**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -1. Let c be (1 + 0 - r)\/(-1). Let d(i) = -i**2 - 5*i + 5. What is the units digit of d(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11616 (base 7) in base 14?\nAnswer: 117d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 584 + -61903\/106. Let s = 26\/53 + t. Suppose s*p**2 - 1\/4*p**3 - 1\/4*p + 0 = 0. Calculate p.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 + 5*k - 13. Let a be c(7). Suppose -3*h - 44 = 2*t - 1, -5*t = -h - 20. Let p = h - a. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 + -19. Let t = 5 + w. Solve d - t = -5 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 596, 607, 618, 629?\n\"Answer: 11*w + 585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -140, -349, -622, -947, -1312?\n\"Answer: 2*l**3 - 44*l**2 - 91*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*f**3 - 26572*f**2 - 4*f + 26572 = 0. What is f?\nAnswer: -1, 1, 6643","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 250 = 5*m - 5*a, 3*m - 3*a = a + 146. What is the common denominator of 854\/147 + (-1)\/7 and 2 - (5 - (-60)\/m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1045952880?\nAnswer: 2, 3, 5, 7, 17, 53, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22.5 - -22.5. Which is the biggest value? (a) 6 (b) d (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a century in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 69, 105, 157, 231, 333?\n\"Answer: f**3 + 2*f**2 + 23*f + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9143685*l**3 + 7971826*l**2 wrt l?\nAnswer: -54862110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -y + 3*y, -16 = -2*y - 4*o. Suppose y = 2*b, -c - 4*b + 3*b + 67 = 0. What are the prime factors of c?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37810, 151279, 340400, 605179, 945622, 1361735?\nAnswer: 1853524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - 92*t**2 - 2276*t - 7207. Give l(-44).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - -1 - (-32)\/(8 - 0). Suppose -2*f = 3*g - 5, 3*g - 5*f = -x*f + 20. Solve 0 = 3*u + 4*c + 14 - 1, g*c + 14 = -3*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.3 - -0.3. Let r be ((-205)\/24)\/(100\/(-80)). Let n = -22\/3 + r. What is the closest to n in -1\/3, -10, y?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 2*y = o - 22, 2*y = 6 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3650, -3706, -3618, -3314, -2722, -1770, -386, 1502?\n\"Answer: 12*y**3 - 140*y - 3522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10\/56)\/(15 - 297\/21). Let s(i) be the third derivative of 0 + 12*i**2 + 0*i + v*i**4 + 25\/6*i**3. Find the first derivative of s(w) wrt w.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.26 + -1.2. Let x = 0.04 + o. Let k = -0.2 - 0.8. What is the closest to x in 0, k, -2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3, -22, -93, -234, -469?\n\"Answer: -4*q**3 + q**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*d**5 - 10524*d**4 + 4609492*d**3 - 669887660*d**2 - 1019879532*d + 676836152 = 0 for d.\nAnswer: -2, 1\/2, 439","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 - 6. Let s(x) = -x**3 + 4*x - 7 + 9*x**2 - 2*x + 0*x. Determine s(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 5*l + 6, -3*w + 2*w - 5*l = -24. Let r = 0 + w. Calculate the remainder when 16 is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 71 + -39. Let h(y) = 3 + 1 - 9*y**3 + 8*y**3. Let s be h(0). What is the greatest common factor of s and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -47, -41, -31, -17, 1, 23?\n\"Answer: 2*s**2 - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - (-108)\/52)\/(((-11)\/1)\/11). Which is bigger: v or -0.0372?\nAnswer: -0.0372","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 + 7*q**2 + 0*q**2)*(-q - 5*q + 4*q) - 4*q**3 - 3*q**3 + 4*q**3.\nAnswer: -13*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 258727*y + 1293644. Determine z(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1*(1 - 3352)*(-49)\/147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4 + (sqrt(171) + (sqrt(171) - (sqrt(171) + 1))*-6)**2)*5.\nAnswer: 720*sqrt(19) + 4220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -11 - (2 - 0) - 0. Let w = -5 - y. Suppose 2*u + b - w = -0, b = -4*u + 14. Solve -f = -h + 4*h + 15, h - u*f = 5 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmb when three letters picked without replacement from bqmqqqmnnqqh.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -6c?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 12, p: 3, d: 2}. Give prob of picking 2 t and 1 p.\nAnswer: 99\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1513109 is divided by 275.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2358825 (base 9) in base 11?\nAnswer: -7a4204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 PM and 4:11 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 90.899995957 + -90.9. Round r to seven dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(1053) + 5*sqrt(1053)*-2)**2 + (sqrt(1053)*-1 + -1)**2 + -1.\nAnswer: 342*sqrt(13) + 86350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2\/145, 8, 8\/11 in ascending order.\nAnswer: -3, -2\/145, 8\/11, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -4*n**2. Let d(i) = 480*i - 6. Calculate d(t(w)).\nAnswer: -1920*w**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 537.952968 seconds?\nAnswer: 0.0008894725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 202 - 142. Suppose 3*s - k = 24. Let h = 67 - s. Is h a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253866280 to the power of 1\/5, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188806 is divided by 23578?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -236882\nAnswer: -1184410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -122*h**2. Let c(k) be the second derivative of 0 + 78*k + 0*k**2 - 1\/3*k**3. What is g(c(i))?\nAnswer: -488*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26 and 39.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + -20 + -12 - -7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + 55 + -30 + -11 + (-37 - 0)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.8 in 1, 1\/7, 4, 9\/38?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 12*o**2. Let m(u) = -6*u**2. Determine i(m(p)).\nAnswer: 432*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 10 = -4*h, -5*h - 2*t = t + 7. Let s(q) = -73*q**2 + 2*q**3 + 38*q**2 + 36*q**2 + 1 + 2*q. What is s(h)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*n + 16 = -4*u, n + 2*u = -11. Let j = n - -2. Is j\/((-2)\/(-4)) - -8 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 79902 and 253023.\nAnswer: 1518138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -10742.33+-89\nAnswer: -10831.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-76) + 736\/228 + -2. Let n = 2 + -1.98. What is the fourth smallest value in n, v, 0.3, -0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 e when four letters picked without replacement from {e: 9, m: 11}.\nAnswer: 132\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-58)\/174 - 1751916\/(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 - (0 + 2)) + 0. Let y(a) be the second derivative of -a**3\/2 - 7*a**2\/2 + 2*a. What is the units digit of y(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 11 + -8693c3?\nAnswer: -8693b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 12*f**2 + 13*f + 11*f - 18*f**2 - 24. Let p(z) = -3*z**2 + 12*z - 12. Let j(s) = 4*l(s) - 9*p(s). Find d such that j(d) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7166 - -7166. Let a(y) be the second derivative of 0*y**2 + i + 1\/2*y**3 + 5*y. Let l(f) = f**2. Determine l(a(b)).\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 173353 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 7*r - 77 = 0. Suppose 0 = -6*w + 13 + r. Let h = -21 + 43. Solve -h = -4*x + 3*j, 0*j - w*j = -x + 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5532185 to the nearest integer?\nAnswer: 2352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 26787331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*i**2 - 3 - 2*i**3 + 2*i - 20*i**2 + 19*i**2 to the form h*i**2 + g*i + f*i**3 + y and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 166? (a) -3 (b) -1\/7 (c) 8 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a - 10*a**2 + 0*a - 2*a + a.\nAnswer: -10*a**2 - 6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fn when two letters picked without replacement from vvrfffn?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12\/1200)\/((-15)\/(-25)). Let o(b) be the third derivative of -f*b**5 + 3*b**2 + 1\/2*b**3 + 0*b + 1\/12*b**4 + 0. Find d such that o(d) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(156)\/(sqrt(72)\/(sqrt(30)\/sqrt(5))) + -5 + -4.\nAnswer: -9 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -24*a**2 + 1517*a. Let w(c) = -c**2. What is o(w(n))?\nAnswer: -24*n**4 - 1517*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m\/(m\/m**(1\/8)))))\/(m\/((m\/(m\/(m*m**(-2)\/m)))\/m)) assuming m is positive.\nAnswer: m**(-31\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 6*q**2 + 6*q - 5. Let x be c(-7). Calculate the common denominator of x\/(-8)*(-134)\/(-2) and -39\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*d**3 + 5*d**3 + d**4 + (2*d**2 + d**2 - 5*d**2)*(3 + 3 - 4)*(-4*d**2 + 9*d**2 + 8*d**2).\nAnswer: -51*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1176969018 to the power of 1\/2, to the nearest integer?\nAnswer: 34307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 380 divide 3213280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 497485441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 - p**2 + p + 2. Determine v(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 322.6 + -322.5. What is the nearest to -1\/2 in 9, -2, g, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by 47?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26124, 25790, 25240, 24480, 23516, 22354, 21000, 19460?\nAnswer: 17740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193174172?\nAnswer: 2, 131, 368653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 841761?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a kilometer in meters?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of -t**4\/48 - 19*t**3\/24 + 52*t**2 - 1772*t. Factor h(c).\nAnswer: -(c - 13)*(c + 32)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of -2*(-5 - -6) - (-1 - 704)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 6 - 1 = n, -n + r = 1 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/28*(-2 + 0). Let y = -1.99 - -1.3. Let v = y - 0.31. Which is the closest to -1? (a) z (b) v (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -51 or -152\/3?\nAnswer: -152\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2297, 2281, 2265?\n\"Answer: -16*t + 2313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n - 2. Let d be v(7). Suppose -l + 4*f = 2*f - 4, 0 = -d*l + 2*f + 12. Suppose l*i = 24 + 12. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (616\/(-112))\/(1\/(-20)). Solve 3*v = o - 95 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 26*y + 61. Let b(u) = 5*u + 12. Suppose z + 1 = 0, -31*s = -26*s - 3*z + 52. Determine s*b(q) + 2*n(q).\nAnswer: -3*q - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 35755 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -398*k + 16. Is s(-1) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10368 is divided by 1456.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**4 - i**2 - 1. Suppose -2*y - 2 = -0. Let t(m) = 8*m**4 + 2*m**2 + 9. Let n(d) = y*t(d) - 2*w(d). What is the first derivative of n(j) wrt j?\nAnswer: -24*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -36\/11 (b) -1\/151 (c) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 330989 - 330807 = -14*r for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iin when three letters picked without replacement from {n: 4, i: 4, c: 1, x: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/4)\/(4\/(-48))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**6\/h*h*h*h)\/(h\/(h\/((h*h\/h**(-5\/4)*h)\/h)))*(h**(2\/3))**(3\/13) assuming h is positive.\nAnswer: h**(255\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 752 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3401, 6801, 10201?\nAnswer: 13601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-312)\/16 - 3\/2. Let z = 26 + n. Is 2 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 272*r - 52 = 134*r + 125*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 - 1 - 2\/2. Suppose -2*a + 1 = h. Is (1\/(-2) - a)*62 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - ((21 - (-8 + 17)) + (5 - (6 + 3)))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96614179 is divided by 211?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -19, -31, 21, 3, -87 in descending order.\nAnswer: 21, 3, -3, -19, -31, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 545880 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 70\/(-10)*(4 + -3). Let v(r) be the third derivative of r**5\/60 - 3*r**4\/4 - 7*r**3\/6 - 2*r**2. What is the units digit of v(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 2. Let f = 0.19 - 0.49. Sort f, -3, t.\nAnswer: -3, f, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(k*k*k*k**(-1)*k))*k)**(-3\/11))**(-1\/30) assuming k is positive.\nAnswer: k**(2\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*a*r**3 + 11*a*r**2 + 32*a*r + 14*a + r**4 + r wrt r?\nAnswer: 42*a*r + 22*a + 12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*b - 158 - 130. Is 12 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, -14\/13, 28, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -4664000 to the nearest 100000.\nAnswer: -4700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 26936 times -2?\nAnswer: -53872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 253562 <= 253622?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = -3*b + 24, 6*k = 185*b - 184*b + 15 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -477*c**3 + 258*c**4 - 672*c**4 + 668 + 477*c**3 wrt c?\nAnswer: -1656*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (121 - 2880*r**3 - 380 + 2878*r**3)*(2 + 0 - 3).\nAnswer: 2*r**3 + 259","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*o**2 - 2*o**2 + 0*o**2 - 5*o**3 - o**3 wrt o?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rbrr when four letters picked without replacement from {b: 3, r: 4, n: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 - d**2 + d. Let a be s(0). Let h = a - -2. Suppose 5*u = -5*c + 29005, h*c = -u + 2*u - 5798. Round u to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*h**3 + 204*h - 204*h - 97*h**3 - 117*h**3.\nAnswer: -283*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 296.6199 weeks?\nAnswer: 179395715520000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -957801*g + 957804*g + 38 = -4*w, -158 = 4*w + 23*g for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 31720138, 31720137, 31720136, 31720135, 31720134, 31720133?\n\"Answer: -o + 31720139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 2*g + b + 18, -2*g - 20 = -2*b. What is the tens digit of (-21)\/(-2)*g\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 2. Let v be z*(-2)\/(-12) - -1. Which is bigger: v or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 93267, 373069, 839407, 1492281?\n\"Answer: 93268*m**2 - 2*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -170 in 3.1, 3, 0.5, 91, -1, 2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15711795 and 1738.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1 + 5*(5 + (-2*sqrt(108) + 0 - sqrt(108)) - (-5 + -3*(sqrt(108) + sqrt(108)*-2)))))**2.\nAnswer: -73440*sqrt(3) + 399204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -28*c**2 + 1850*c - 143. Determine g(66).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*w**6 + 102*w**4 + 23*w**2 - w wrt w?\nAnswer: -360*w**3 + 2448*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -1. Let p be 2\/12*(-3)\/q. Let j = -13 + 13.4. Which is the biggest value? (a) -5 (b) p (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tyd when three letters picked without replacement from {j: 1, t: 1, k: 3, s: 3, d: 5, y: 4}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 <= -28919\/1986?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (-90)\/(-126) + (-24891)\/(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y**3 - 4*y**2 - 2*y + 9. Let s(i) = 2*i**3 - 4*i**2 - i + 10. Suppose 0*x - 9 = 3*x. Let a(h) = x*s(h) + 4*w(h). Is a(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -154*k**3 + 154*k**3 - 71*k**5 + 19*k**5 + 16*k**5 - 17*k**5 + (-4*k**5 + 4*k**5 + 2*k**5)*(-3 + 1 + 4) - 2*k**5 - k**2 + k**5 + 0*k**5.\nAnswer: -50*k**5 - k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4319469 divided by 68.\nAnswer: 4319469\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 56158632 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4 = -x - 4*g, -4*x - 3*g = 7. Let p(m) = 4*m**2 + m + 3. Let u be p(x). Calculate the greatest common factor of u and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/752 and 3\/470.\nAnswer: 3760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**2 + u**2 - 2*u**2 + (-u - 3*u + 2*u)*(3 + 1 - 1)*(-u + 0 + 0).\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 13, -0.15, 3, -8, -143?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 12 = l, -3*l - 2*l = 5*y - 120. What is the remainder when (3\/(-9))\/((-3)\/315) is divided by (-6)\/l - (-172)\/14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -0*z. Let h = 0 + z. Suppose -3*w + w + 110 = h. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**5 - 1086*c**4 + 135166*c**3 - 4405482*c**2 + 44490600*c - 40219200 = 0.\nAnswer: 1, 21, 120, 380","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10.8 - -159.8. Let k = z - 7. Let n = k + -139.91. What is n rounded to one dp?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 489*b - 485*b = 18, -3*l + 4*b = 14 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + u**2 + (-2 + 4 + 0)*(3 - 3 - u**2))*(10*u + 7*u + 13*u)*(0*u + 3*u - u).\nAnswer: -60*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 112.51 + -112. Let v = w + -0.01. Let g = 0 - -2. Which is the closest to g? (a) 1 (b) v (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 10) to base 2\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -5*x**2 - 4 - 4*x + 2*x**3 - x - 3*x**3. Let o be r(-2). Calculate the smallest common multiple of (-110)\/o - (-2)\/(-6) and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 0 + 3 - 6 - 5*u**2 + 4 wrt u?\nAnswer: -10*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -146, -4, -6, -8 in descending order.\nAnswer: -4, -6, -8, -146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.5 + -0.5. Let k = -0.4 + z. Put 4, 0.3, k in ascending order.\nAnswer: k, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8634 - -8633.5167. Let r = x - 0.0137. Let j = r + 0.087. What is j rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 - 24991*d. Let q(x) = -x. What is q(a(t))?\nAnswer: t**2 + 24991*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 + 4*j - 32. What is q(-9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 1. Suppose 542*k - 432 = 534*k. Calculate the greatest common factor of k and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + 0)\/(1 + -2). Let p(w) = 2*w + 4. Let d be p(s). List the prime factors of (2*194)\/((32\/4)\/d).\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 43656, 87325, 130996, 174669, 218344?\n\"Answer: k**2 + 43666*k - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 AM and 4:53 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -374\/3 + 125. What is the third smallest value in s, 0.5, -12?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = g, -3*x + 9 = -2*g - 1. Suppose 0*j = b + 4*j + 8, j + 11 = 2*b. Is 1\/(b\/22)*x a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-1 - -8) - 4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 4 (c) -0.0356 (d) -33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1605 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-210)\/(-12))\/(7\/42). Let i be 28\/r + (-12)\/(-30). Factor -2\/3*d**3 - i*d + 0 + 4\/3*d**2.\nAnswer: -2*d*(d - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 138 = -34. Suppose -22 = -10*r + 108. Suppose -17 = c + 5*l, 2*c + r = l - 76. Is c != i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -r - 3*r. Let c(b) = -b**2 - 4*b. Let j be c(-3). Suppose 0*k = j*k - r. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 514735133 or 514735134?\nAnswer: 514735133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*w**2 + 336*w**3 - 164*w**3 + 17*w**2 - 169*w**3.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1138\/18 - -3*6\/(-81). Calculate the highest common factor of l and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 AM and 7:41 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 482 is divided by 223?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 12933778, 25867554, 38801330, 51735106?\n\"Answer: 12933776*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12390930.\nAnswer: 2, 3, 5, 37, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-2\/7))\/(c*c\/(c**(-3\/2)\/c*c)))**31 assuming c is positive.\nAnswer: c**(-961\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14008?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - w + 395. Is 18 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**2 + 3*f - 17. What is the remainder when 52 + 2 + 0 + -1 is divided by o(-5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 2*r**2 - 3*r - 2. Let p be b(-3). Let m(u) = -9*u + 21. Let f = 40 - 61. Let a(d) = d - 2. What is f*a(s) + p*m(s)?\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -66 - -37. Let i = 4841627.2100089 + -4841656.21. Let g = d - i. What is g rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, 366, -2 in ascending order.\nAnswer: -2, 0, 2, 366","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 322 (base 8) to base 5.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/88284 and -105\/23122.\nAnswer: 971124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2019474*y**2 + 240*y - 14125.\nAnswer: 4038948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3*t + 2831 = 0, -4 = -5*t - 29. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 38 + 50. Solve 0 = -3*g + n*u, -4 + 0 = 4*g - 5*u for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -357 = 5*r - 67. Let d = r + 52. What is the remainder when 12 + 1 + (72\/d)\/4 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 23562.07cm?\nAnswer: 235.6207","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2, 3, 4?\n\"Answer: c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 216*((-10)\/(-3))\/5. Suppose k = 2*l + 36. Suppose -j = -4*f + 1, 4*j - 3*f = 5*j - 34. Calculate the remainder when l is divided by j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-10)\/(t*t**(-5)) assuming t is positive.\nAnswer: t**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 14b111 - -53?\nAnswer: 14b164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/98 and -50\/21?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4949797 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 19950 a multiple of 266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25 and 175?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(95) - (sqrt(95)*-2 + sqrt(95) + sqrt(95) + sqrt(95) + sqrt(95))) + sqrt(95) - sqrt(95))*-5)\/(sqrt(5) + sqrt(5) + -4*sqrt(5)*2).\nAnswer: -5*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-188)\/(-752)*(8 + -4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does -17\/5 = -18805?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -11. Let q be (-7 - 289) + (-1)\/((-3)\/(-9)). Let m = q - -3885\/13. Which is the fourth biggest value? (a) 0.3 (b) s (c) -0.4 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/4 in 0.3, 16, 2\/5, 1\/8, -2\/27?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 68462.68 millilitres?\nAnswer: 68.46268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**0)**13)**(-29) assuming w is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 116*j - 5. Let o(q) = -231*q + 11. Let h(f) = 5*d(f) + 2*o(f). Suppose 2*y - 4*y + 8 = 0. Is h(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 22205.16798 to the nearest 10.\nAnswer: 22210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2 = -4*g. Let p be (0 + 1)*(g - -4). Factor -2\/5*l**4 + 2\/5*l**3 + 0 + 0*l + 0*l**p.\nAnswer: -2*l**3*(l - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1591014 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3812.\nAnswer: 2, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**4 + 6*b**3 + 39*b**2 + 30*b.\nAnswer: -3*b*(b - 5)*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 8:32 AM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11951, 23904, 35857, 47810?\nAnswer: 59763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 948211519 and 509?\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 35*c + 41. What is the hundreds digit of d(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seventeen halves of a week?\nAnswer: 1428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 22*l + 137. Give s(-5).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 - 7*c + 7. Let o be n(16). Let s(h) = -36*h + 67. Let w be s(-6). Let r = w - o. What is the highest common divisor of r and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 160 divide 22562880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3.16625cm?\nAnswer: 31.6625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - s = -3*s + 38, -68 = -3*b + 4*s. Suppose 0 = b*l + 116 - 20. Let q(w) = -w + 29. What are the prime factors of q(l)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in 12444, 0.5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = 2*i + 3*b + 17, 0 = 5*i + 3*b - 23. Solve -5*o = -i*j + 16, 3 = -3*j - 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 11660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 + n**3 - 3*n**3 - 3*n**2)*((4*n - 4*n + 2*n)*(3*n - 3 + 3) + 3*n**2 - 76*n + 76*n).\nAnswer: -18*n**5 - 9*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41198.\nAnswer: 2, 20599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 - 2*p - 14. Suppose -8*q - 51 = 9*q. Let n(u) = 11*u**2 + 3*u + 9. Calculate the remainder when n(q) is divided by c(-6).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/7)*r*r**17)**0 assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 8, 2 in ascending order.\nAnswer: 2, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*i - 42 = -62*i + 2*y, -27 = -2*i - y. Solve -3*a - 6 = 5*d, 0 = -4*a - 2*d + 4 - i for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.07 + 0.07. Let m = -0.03 - 0.47. What is the closest to 1 in m, g, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33572 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.4 + 5.4. Let j = 4.791 - -0.109. Let c = j - d. Sort 1, 0.4, c in decreasing order.\nAnswer: 1, 0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -8*d - 3. Determine v(3).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3652 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*d + 1944 = -1231 for d.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of d**5\/12 - 455*d**4\/24 + 445*d**3\/3 + 7*d**2 - 115*d. Let k(j) = 0. Calculate j.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of n**6\/1440 + n**5\/240 - n**4\/32 + 25*n**3\/6 - 2*n**2. Let t(q) be the first derivative of p(q). Factor t(g).\nAnswer: (g - 1)*(g + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128472 is divided by 623.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-3\/10)\/v)\/v*(v\/v**(-9))\/v*(v**(-2)*v)**(-42))**(-47))**(-2\/97) assuming v is positive.\nAnswer: v**(22889\/485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 263870076?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 r when two letters picked without replacement from qrwwwwbwbm?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - o**2 - 12 + 4 + 7)*(68 + 153*o - 132 + 64).\nAnswer: -153*o**3 + 153*o**2 - 153*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(260)\/(sqrt(5) - sqrt(80) - sqrt(5)) - -2*sqrt(4212))\/(sqrt(196) + ((sqrt(196) + sqrt(196)*1 + sqrt(196))*-6 - sqrt(196)) - sqrt(196)).\nAnswer: -71*sqrt(13)\/532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2. Let w(r) = 3*r + 3. Let t(u) = 5*u + 5. Let m(x) = 5*t(x) - 8*w(x). Let b(j) = -21*j - 11. Let h(g) = 2*b(g) + 22*m(g). Calculate h(l(z)).\nAnswer: 20*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12859*a**3*y**3 - 81*a**2*y**3 - 114*a*y**3 wrt a?\nAnswer: -77154*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/15 and (-10 + 11)*(-2)\/((-54)\/11).\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13721040 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32520443?\nAnswer: 4733, 6871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(3 + 0 + -5). Let b(o) = 4*o**3 - 2*o**2 + 2*o - 3. Let p be b(h). Suppose -z + p + 16 = 0. Calculate the remainder when z is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -0.5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11674427?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 17291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -10*g + 12. Let v(j) = -2*j + 1. Calculate v(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/39204676 and 24\/1463?\nAnswer: 431251436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r. Let z(j) = -6*j**2 + 4*j. Let v(q) = -25*q**2 + 15*q. Let t(p) = -4*v(p) + 15*z(p). Give b(t(g)).\nAnswer: 20*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (79\/(-79))\/(22\/616)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r**2 - 15*r - 20. Let j be l(9). Suppose -1 = j*g - 15. Let h be (6\/(-4))\/((-3)\/4). Solve h*n = -g*n + 12 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -7*a + 2. Let c(k) = 0*k + 3 + k - 8*k. Let o be 5 - (-9 - (-85)\/5). Let s(i) = o*c(i) + 4*l(i). Let z(n) = 15*n + 2. Determine 13*s(r) + 6*z(r).\nAnswer: -r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -238*v**5 + v**3 - 497*v.\nAnswer: -4760*v**3 + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 75.6 - 80.6. What is the nearest to -2 in y, -9\/14, -1\/3?\nAnswer: -9\/14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9*(-8)\/48)\/((-78)\/8)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1850 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5781827?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13341000 rounded to the nearest one hundred thousand?\nAnswer: 13300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -111101011100 (base 2) to base 14\nAnswer: -160c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 0 = c - 13, -5 = -5*c. Let i be 485\/30*2*z. Let s = -89 - i. Solve 3*j = 4 + s for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 2496.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43 + 30. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37920?\nAnswer: 2, 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 67823599 and 86?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1848 divided by 5?\nAnswer: -1848\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*m**3*p**2 + 5*m**3*p + 2*m**2*p - 6*p**2 + 5*p wrt m.\nAnswer: -12*p**2 + 30*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(180)\/sqrt(3))\/sqrt(12).\nAnswer: -3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 443890191 to the nearest integer?\nAnswer: 21069","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 5) + 21 + 1. Let d = 23 - g. Suppose -4*t + 42 = d*n, 0*t - 6 = -n - 2*t. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 161?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m**3 - 10*m**2 - 8*m - 9. Is 37 a factor of q(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*d + 6*d + 56*d - 7938 = -17*d for d.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7555 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 49546\/11 - 4504. Which is the smallest value? (a) -39 (b) 1 (c) -1\/5 (d) v (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12\/121 in -2\/11, 2, 5, 0.3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Express (-36 + 34 + 105)*(-9 + 20*m + 2 + 7) in the form i*m + l and give i.\nAnswer: 2060","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m + 10 - 10 = 0. Which is smaller: m or -3\/20?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 578677092 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/9)*m**(1\/7)*(m**(1\/72))**35)**47 assuming m is positive.\nAnswer: m**(6721\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((3 + sqrt(11) + sqrt(11))**2 + -5 + (sqrt(11) - (3 + -2 + sqrt(11)))) - (-5*(sqrt(891) + sqrt(891)*-1) + -6*(1 + sqrt(891)))**2.\nAnswer: -32253 - 684*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (8 - (-2 + (10 - 1)) - -3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7121673.\nAnswer: 3, 13, 60869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -9. Let w(v) = v**2 + v - 7. Let c be w(-3). Is d at least c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + 2 + 11 + (-9 - 1)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 120 and 9720.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 4 - 4. Solve -k*q + 5 = -3 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, k: 4}. Give prob of picking 1 k and 2 a.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - -0.18786074\nAnswer: 0.28786074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 h, 1 x, and 1 a when four letters picked without replacement from hahaawahhaahaxaaa?\nAnswer: 5\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 7:51 AM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of i**5\/12 + 5*i**4\/6 - 80*i**3\/3 + 152*i**2. Factor g(c).\nAnswer: 5*(c - 4)*(c + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 30 - 1\/3*b**2 = 0. What is b?\nAnswer: -6, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -79.02 * -0.3974.\nAnswer: 31.402548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -114235, -452927, -1017415, -1807699, -2823779?\n\"Answer: -112898*w**2 + 2*w - 1339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4680, 9371, 14060, 18747, 23432?\n\"Answer: -x**2 + 4694*x - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 794.016 millilitres?\nAnswer: 0.794016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23231, -23232, -23233?\nAnswer: -23234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 61?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-8)*1 + (-66)\/(-528). Find c, given that i*c**2 - c**2 - 41*c**2 + 9*c + 12 + 113*c = 0.\nAnswer: -2\/21, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 19\/4 of a micrometer?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - 3*h - 1. Suppose 0 = -6*i + 5*i + 8. Let a be (3\/(-1))\/((-6)\/i). What is n(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 29*z = -27*z + 9, z = -3. Solve -p - 36*a + 40*a = 3, y*a = 4*p - 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60171439 to the power of 1\/2, to the nearest integer?\nAnswer: 7757","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 - 6*l + 4. Let g be y(-6). Let u(k) = -k**2 + 5*k + 1. What is u(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, k: 2}. What is prob of picking 1 c and 1 k?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pqpppppqpppp. What is prob of sequence pp?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = -f + 20. Let q = -23 - f. Is q a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.61*-0.05.\nAnswer: 0.3805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2a8c - dc?\nAnswer: 29b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or -84\/19?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1725214?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1092?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9212 is divided by 1258.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - 10) + 4 - (7 + 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7.1 * -9.3\nAnswer: 66.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/245*7)\/(98\/(-210)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 6*c = -1. Let j(l) = -2*l**2 + 4*l + 2. Let z(i) = 2*i + 2*i - 5*i. Calculate c*j(b) - 4*z(b).\nAnswer: 2*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -3*v - v + 92, 3*v - 48 = -4*w. What is the remainder when 39 is divided by v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13 - 2*p**3 + 35 - 38 + 20*p - 2*p**2.\nAnswer: -2*(p - 2)*(p - 1)*(p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -92589 - -123328577\/1332. What is the common denominator of -5\/33 and m?\nAnswer: 14652","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -407365, -407362, -407359, -407356, -407353, -407350?\nAnswer: -407347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 12 = 5*b, 823*b = 818*b + 40*s - 105 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2280?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17941260 and 133890.\nAnswer: 17941260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -65 - 82*l + 32 + 33 + (-1 + 0 - 1)*(-4*l + 6*l - 4*l).\nAnswer: -78*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3 + -4 - -3 - -66.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v + 60*v**2 - 1 - 62*v**2 + 5 + 2 - 6.\nAnswer: -2*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1819 or 1822?\nAnswer: 1819","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-1*6\/16). Let v(a) = -a**3 + 9*a**2 - 7*a + 2. Calculate the lowest common multiple of 14\/21 - 8\/(-6) and v(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27207.186 rounded to the nearest one thousand?\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -4*j + 11. What is the tens digit of u(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1728696 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36 - 13 - 16 - (9 + 0)) + 0 + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jqaaaaaavapatq. Give prob of picking 1 j and 1 v.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-3) + (-38700001)\/(-3). What is s rounded to the nearest 1000000?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -445 divided by -1\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1337*g + 1266*g = 0. Suppose 8 = -3*s - 2*y, s + 4*s + 12 = -3*y. Solve 4*i + s*i + 8 = g for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -48, 0, 1 in decreasing order.\nAnswer: 1, 1\/3, 0, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31741130?\nAnswer: 2, 5, 73, 43481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (12 - 9) + 2 + 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3*m + 0 = -1, 26 = -5*d + 2*m. Put d, -1, 4 in increasing order.\nAnswer: d, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - 5*f - 2*f)*(-f**3 - 2*f**3 + f**3)*(-29 - 239 + 15).\nAnswer: -3542*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4*o - 4*b = -20, -5*b + 4 = o. What is the remainder when 22 is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/((-77)\/21)*1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (120\/18 + 1)*3. Solve m = -2*y - 2*y + 3*z, 4*z - 30 = 5*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*l - 140509 = -36*l. What are the prime factors of l?\nAnswer: 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12.156 + -1378.744. Round l to the nearest ten.\nAnswer: -1390","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -353 divided by 2.\nAnswer: -353\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/14 + 30\/42 - -11. What is the tens digit of (m\/(-15))\/((-10)\/1975)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -38 - -42. Solve -7 = -c*t + 1 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-72)\/(-6)*5676\/1584.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b + 4. Let n(x) = -x + 3. Let u(c) = -3*j(c) + 4*n(c). Let t(f) = 5979 - 5977 + 1652*f - 1522*f. Give t(u(m)).\nAnswer: -130*m + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssmh when four letters picked without replacement from {s: 4, h: 1, m: 4, o: 3, c: 7}?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 3:29 PM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/1)\/(35\/14). Factor -8\/5 - 8\/5*y - m*y**2.\nAnswer: -2*(y + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -5*i - 5*u, -4*u - 79 = i - 71 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*b - 4*b - 77. Let w(f) = -2*f + 3. Calculate w(b).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 59301326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*r + 723995 = -48*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*8.686\nAnswer: 34.744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.4 - -39.6. Let m = c - 40.1. Which is greater: 3\/2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2 - 2*f.\nAnswer: -f*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*((sqrt(204)*2)\/sqrt(12) + sqrt(51)\/sqrt(3) + -4) - (3*sqrt(17)*-1 + sqrt(17) + (sqrt(153)*-3)\/sqrt(9) + sqrt(17))) + 3)**2.\nAnswer: -304*sqrt(17) + 1449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-46)\/(-112) + (-4)\/14. Let q = 0.24 - -0.06. Which is the second biggest value? (a) x (b) q (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*b - 47*b + 9*b**2 + 139*b - 4*b**2 - 41*b.\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -117 - -64. Let z = -54.16 - u. Let o = -0.16 - z. Which is the nearest to 0.1? (a) -4 (b) -1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 26. Suppose 2*k + x - 4 = 0. Let s = k - -6. Sort s, -5, 3 in increasing order.\nAnswer: -5, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 398 - 128 = 0. Let t = q - 955\/7. Find the common denominator of 30\/11 and t.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1348, 1274, 1216, 1180, 1172, 1198, 1264?\n\"Answer: j**3 + 2*j**2 - 87*j + 1432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 21, 1, 3, 0 in decreasing order.\nAnswer: 21, 3, 1, 0, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*x + 19*x = 3*m - 21, 3*x + 3*m - 24 = 0. Solve 2*f + f - x = 3*t, -11 = -3*f - t for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72051 - 24019 - 24016 - 24016 + m**2.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 0)*(35*m**2 + 40*m**2 - 129*m**2 + 54*m**2 - 2013*m**4).\nAnswer: 2013*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -16, -35, -72, -133, -224, -351, -520?\nAnswer: -737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*y**2 - 832*y**2 + 178*y**2 - 356*y**2.\nAnswer: -927*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32647199, 32647197, 32647195, 32647193, 32647191, 32647189?\nAnswer: 32647187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 3*a**2 + 6*a - 8. Let l be j(4). Let g(o) = o**3 - o**2 + o + 8. Determine g(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*l**2 + 4*l**4 + 21*l**2 + 2*l**4 wrt l?\nAnswer: 144*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 9) to base 13\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 516 - 519. Put 3, 0, -8, k in descending order.\nAnswer: 3, 0, k, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 - 3*h**2 - 1 + 34*h**3 + 0*h**2. Is z(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 200 - 117. Suppose 16*y - 1527 = -103. Let o = y - a. Solve 9 = 5*m - o for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 3*w. Let l be o(10). Suppose -k = 3 + 4. Let h = k + l. Does 6 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lslv when four letters picked without replacement from {s: 4, l: 4, v: 5, w: 1, x: 2}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 7) in base 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + w - 3*w + 12 = 0, -4*w = 4*x + 48. Let o = x + 13. Let l be (-4)\/(-8)*o\/1. Put l, 3, -1 in ascending order.\nAnswer: -1, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -x + 18. Suppose -2*i + x = -3*i. Is (-2)\/4 + (-93)\/i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112)*-1*-2 - (sqrt(112) + -1)*-6) + 5*(-3 + sqrt(112))*-6)**2.\nAnswer: -14784*sqrt(7) + 61264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3*t**2 + 9*t + 2. Calculate d(-5).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m + 4*m + 0*m + (2*m + 2 - 2)*(4 + 0 - 3) + 4*m + 8*m - 4*m to t + v*m and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.02 + 0. Let y = 25.92 + -26. Let v = o + y. What is the nearest to v in 3, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/8 (b) 0.5 (c) 1 (d) -14 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2\/6 + (-186)\/18 + 6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.65 - -0.25. Let w = n - -1.31. Round w to 1 dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*y + 51108 - 51469 for y.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 3658 and 3692 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hf when two letters picked without replacement from {f: 2, k: 2, h: 1, o: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 11:16 PM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + 22?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = i + 5*s - 31, -5*i = 5*s - 110. Which is the third smallest value? (a) 4 (b) -4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 4*m + 8 = 0, 4*q - 3*m = -8*m - 6 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 11*z**3 - 4*z - 6. Let r(q) = -10*q**3 + 3*q + 5. What is 6*r(g) + 5*y(g)?\nAnswer: -5*g**3 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -737443, -2949824, -6637125, -11799346, -18436487, -26548548, -36135529?\n\"Answer: -737460*l**2 - l + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 5*a = -7*a - 2, -2*g + 20 = -4*a. Let n(f) = -7*f - 3. Calculate n(g).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.312194ml in litres?\nAnswer: 0.008312194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 530 - 629.6. Let c = x + 100. Let m = 17 + -9. What is the biggest value in 0.2, m, c?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1162 - 1164. Which is the third biggest value? (a) -0.2 (b) 1\/2 (c) f (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*l - 2*l - 8. Solve -4*o - 12 = -0*o + l*d, -2*o - 30 = -5*d for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/9*(-9)\/6. Let v = -1.7 + 1. Let w = 3.3 - v. Which is the smallest value? (a) l (b) 0.2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6234, -19233, -32232, -45231, -58230?\n\"Answer: -12999*k + 6765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 6 = 2*q, d - 5*q + 15 = -3*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 82932155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18695*-0.6.\nAnswer: -11217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.32 * 0.032376\nAnswer: -0.01036032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1942 (base 13) in base 16?\nAnswer: -ebc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((84\/147)\/(4\/(-14)))\/((-161)\/(-7)).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s - 5*s - 10*s + 22*s - 4*s - 5*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -7*b**3 - 4*b**2 - 5*b. Let a(u) = 7*u**3 + 3*u**2 + 5*u. Let v(f) = 4*a(f) + 3*p(f). Let z(l) = 3*l**3 + 2*l. Calculate 6*v(q) - 15*z(q).\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 4*o - 4 = -t, 4*t - 3*o - 5 = 0. What is the tens digit of (-20)\/(-16)*64\/t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/1764 and 33\/26068.\nAnswer: 234612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 5*o**2 - 8*o - 6. Let l be a(-6). Suppose 2*x = l*x - 160. What is the remainder when x is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5058 and 3?\nAnswer: 5058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of n**3\/3 - 7*n**2\/2 + 6*n + 44. Factor c(l).\nAnswer: (l - 6)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -156998, -156989, -156978, -156965?\n\"Answer: x**2 + 6*x - 157005","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p, 1 z, and 1 b when four letters picked without replacement from tbtbzptbbbpb.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 8c1 (base 13) to base 12\nAnswer: a59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 8 = s, -a + 4 = 30*s - 31*s. Which is smaller: -1\/526 or s?\nAnswer: -1\/526","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/(z**3*z*z*z))**(28\/9))**(-47) assuming z is positive.\nAnswer: z**(5264\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 4520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -1030043300 to the nearest one million.\nAnswer: -1030000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128138 is divided by 121.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2573436*0.2\nAnswer: -514687.2","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - l + 160 = 4*g, 0 = g + 4*l - 40. Suppose 3*m + g = 5*m. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w + 4*l - 9*l, l - 5 = -4*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 + -15. Let l be t*(-4)\/((-36)\/(-15)). Suppose h + 3 = l. Solve 2*x + j + h = -j, 4*x = 3*j + 17 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1228 = -17*v - 1330 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8900 = -1088*m - 19388 for m.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1535, -7932, -19203, -35348, -56367?\n\"Answer: -2437*q**2 + 914*q - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of l**4\/6 - 13*l**3\/6 + 2*l**2 - 56*l. Let v be 4 + (3 - 0) + -1. Let j be u(v). Let b(h) = 2*h**2 + h - 2. Determine b(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5033966?\nAnswer: 2, 7, 31, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 272?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3456, 6889, 10322, 13755, 17188?\nAnswer: 20621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 80730 divided by -8073?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 2:18 AM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -115 + 78. Let h = -37.073 - q. What is h rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/3 + 1946*n**2\/3 + 1948*n\/3.\nAnswer: -2*n*(n - 974)*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + 4*m**2 - 4*m + 3. Determine b(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 5*r + 13 = -2*p, 0 = 3*p + 5*r - 43. Suppose -p + 14 = 4*g. Factor -4*m + 12*m + g*m**2 - 4*m.\nAnswer: 2*m*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + (-16)\/(-10) - 5508\/(-5670). Which is the third biggest value? (a) -5 (b) q (c) 1 (d) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*c - 34. Let v(x) = x**2 + 7*x + 8. Let a be v(c). Find the common denominator of a\/60 - (-2337)\/(-990) and -39\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -171773, -343568, -515363?\nAnswer: -687158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11.4 - -1.9.\nAnswer: 13.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 14518778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 65 + -53. Suppose -2*y + 649000 = -c*y. What is y rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 - 4*m**2 + 2*m - 10. Let s be f(3). Let a be (-2)\/(-8) + (-29)\/4. Let o = a - s. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 + 6*s**2 - 2*s - 1. Suppose -6 = 3*c - 7*d + 4*d, 3*d + 24 = -2*c. Let k be a(c). What is the highest common factor of 99 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -h + 10. Suppose -17*a = -15*a - h. Is (a\/2 + 7)*42\/9 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 5*z - 9. Let y be (1 - -1)*(4 + -3). Which is the nearest to 0? (a) y (b) 0.4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7)\/(84\/9) - (-135)\/20. Solve 0 - x = 6*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.3 and -447?\nAnswer: 446.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1887)\/(-9) - -2*4\/24. What is the common denominator of (260\/h)\/(1\/(-2)) and 53\/60?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2553324.9 and 0.1.\nAnswer: -255332.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (340\/770)\/(-17)*(5 - -2).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13211002 + 1233321?\nAnswer: -11311021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 28 = -2*s. Calculate the remainder when 25 is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3993 - 3992.6. Let k = 7 - 16. Put -3\/5, k, -4, a in increasing order.\nAnswer: k, -4, -3\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + l - 5400000. Let u = 28 - 28. Let h be c(u). Round h to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seven eighths of a microgram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 95*h - 92 + 45 + 47 in the form v*h + r and give v.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11455 is divided by 683?\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 127 + 98. Calculate the remainder when o is divided by 76.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 35*q + 195201*q**3 + 3 + 7 + 7*q**2 - 23*q. Let r be m(-5). Round r to the nearest 1000000.\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*i**2 - 2*i - 4*i**2 - 39*i**2.\nAnswer: -76*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7.5 and 0.0131.\nAnswer: 0.09825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -59 + 8?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f*f*f**23*f)\/f)\/(f*((f*f**(-19))\/f)\/f*f*f*f*f*f) assuming f is positive.\nAnswer: f**41","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (468\/90)\/(-26)*(-168)\/56?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -257079 in -31, -2\/13, -1?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3*o + 6 = 5*o, -5*p + 11 = -o. Let x = 1 - p. Sort 1, 5, x in decreasing order.\nAnswer: 5, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 888 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 10 = -13, -5*y = 3*i - 10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, i: 3, s: 2, z: 7, c: 1}. What is prob of picking 2 s and 1 z?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-490 + 768 - 278 + 28040*b)*(-4*b**2 - b**2 + 6*b**2).\nAnswer: 28040*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3705 and 2850?\nAnswer: 37050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1689322 is divided by 1530?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) - (-2*sqrt(190)*2 + sqrt(190))) + sqrt(190) + (sqrt(190) - (sqrt(190) + sqrt(190)*1)*-3) + sqrt(190))\/(-5*sqrt(90)*4).\nAnswer: -13*sqrt(19)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 650384?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1248 + 2297. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4952300 to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 504 = -57*v - 162 - 18 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 88*i + 4014. Calculate a(-52).\nAnswer: -562","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - 9*k**2 + 16*k + 13. Let t be w(-10). Let b = 51 + t. Suppose 2*s - 20 = -3*r, b*r - s - 6 = 6. Solve -y = r*y - 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 11:29 AM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-18)\/(-243))\/((-2)\/6). Let d = -5 - -4. Which is smaller: d or o?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/((-12)\/(-8)*-1). What is the common denominator of (208\/(-9))\/l + 0 and 3\/10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 297 is divided by 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yffy when four letters picked without replacement from {y: 7, f: 7}.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -3*w**2 - w**2 + w**2 + w**2. Let b(y) = y**2. Let k(q) = 42*q**2. Let m(r) = 21*b(r) - k(r). Give v(m(d)).\nAnswer: -882*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 + 33*c + 75. Let o be d(35). Solve -6*u = 4*s - 2*u + 4, -3*s = o*u + 9 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.4 - -5. Let r(h) = -h**2 + 6*h + 4. Let u be 61\/9 - 20\/(-90). Let p be r(u). Which is the third biggest value? (a) 5 (b) m (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 7 + 1 = -4*w, 5*w + 2*q = -8. Let x(m) be the second derivative of -m**2 - 1\/2*m**3 + w - 21*m. What is x(2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1405620 divided by -5.\nAnswer: 281124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -1358650.356 to the nearest one hundred thousand.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 0*f - 515 + 146 - 516 + 14*f**2 - 5*f - 20*f**2 wrt f.\nAnswer: -12*f - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1662, 0.4, -0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 6, p: 2}. Give prob of sequence pp.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -1834?\nAnswer: -1836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1293*k - 4797*k + 125*k - 2943*k.\nAnswer: -8908*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1392 and 2?\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (25\/10 - 2)\/(5\/838). Let j = -85 + c. Suppose -l + 3*v - 6 = 4, l = -5*v + 14. Is j > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -50608.487 + 50578. Let v = -0.313 + l. Let z = v + 30.7999877. What is z rounded to 6 decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -366 + 256. Let o = -165 - x. Let y = o + 59. What is the fourth smallest value in -4, y, 2\/9, 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of 0*i**3 - 1\/4*i**4 + 0*i**2 - 4*i + 0. Let u(d) = -12*d. What is v(u(n))?\nAnswer: -432*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*s + 2*d, 19*d - 21*d = 4. Let p(i) be the first derivative of 26 - 1\/3*i**s - 3\/2*i**2 + 0*i. Factor p(u).\nAnswer: -u*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1927196*z**4 + 2*z - 5509880 wrt z.\nAnswer: -23126352*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*s - 70 = 19*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*w**3 + 0*w**3 - w**3)*(-3*w + 2*w + 3*w) + 454035*w**3 + 33*w**4 - 454035*w**3 in the form k + g*w**2 + d*w**3 + m*w**4 + n*w and give m.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -1. Let j(h) = 20*h**3 + 2*h**2 - 2*h + 1. What is the remainder when a\/12 + (-159)\/(-4) is divided by j(1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/303710595 or 0?\nAnswer: 1\/303710595","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3115153 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of -1\/40*u**5 + 6*u**2 - 3\/2*u**3 + 0 - 1\/360*u**6 + 0*u + 1\/8*u**4. Let q(v) be the first derivative of m(v). Determine q(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2739320*x**2 + 8627*x - 1264 wrt x?\nAnswer: 5478640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*f**5 - 3*f**5 + f**5 + (-3*f**4 + 3*f**4 - 2*f**4)*(-4*f - 2*f + 2*f).\nAnswer: 11*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 PM and 3:09 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 45 - 45. Let q(y) = -5*y + 7. Let t be q(s). Let i(m) = -4*m + 1. Let f be i(-6). Solve t*p - 2*p + f = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -71 + 84. Let q = n - -2. Solve 5*j = -3*d - 37, 0 = 4*j + 2*d + 13 + q for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 y, and 1 k when three letters picked without replacement from rkdsrekysddrsserrr?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -148, -147, -146, -145, -144?\n\"Answer: o - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 86126 or 86135?\nAnswer: 86126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, y: 1, t: 1, g: 1, z: 1, n: 1}. What is prob of picking 1 z and 1 t?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 279, 288, 297?\n\"Answer: 9*g + 270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.07 (b) 2\/3 (c) -31 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (33 - -45 - 41) + (-5 - 136)?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -719 - -12. Let j = a + 12015\/17. Let b = 5\/51 - j. Put 4, -0.3, b in decreasing order.\nAnswer: 4, b, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00155150975 rounded to 7 decimal places?\nAnswer: 0.0015515","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand k + 0*k - 6*k + (-2*k - 1 + 1)*(2 - 5 + 5) - 2*k - 2*k + 6*k.\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/178 and 91\/5976.\nAnswer: 531864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4513340127?\nAnswer: 3, 31, 48530539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/(-2)*(-56)\/(-42). Which is smaller: i or 7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/(r**(1\/2)\/r))**(-1\/8)\/(r\/r**(2\/11)*r**(-10\/9)))**19 assuming r is positive.\nAnswer: r**(-589\/1584)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5 times -25.68832?\nAnswer: -38.53248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-80)\/(-400))\/((-6)\/20)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -3 - 9 - 9*b - b - b**2. Let z be (-60)\/(-150) + (-42)\/5. Calculate p(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -886*s**2 + 9*s + 2557*s**2 - 4*s + 2051*s**2.\nAnswer: 3722*s**2 + 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2365688664377 - 4.\nAnswer: -2365688664381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzzzzzz. Give prob of picking 3 z.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -11 + (1 - -13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -750*i + 6751. Give o(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -166*d + 447. What is i(3)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 212 + 732 = 0. Suppose -3*b + 8*b = 265. Let j = n - b. What is the highest common factor of j and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6450, -12896, -19342, -25788, -32234?\n\"Answer: -6446*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.034*4445\nAnswer: -151.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/10*(-8)\/16. Let g(c) = -c**3 - 2*c**2 + 64*c + 6. Let q be g(-9). What is the fourth biggest value in 5, 0.4, q, v?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/10? (a) -0.6 (b) 5 (c) -0.029\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173654388.\nAnswer: 2, 3, 17, 94583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 85\/4067, -3\/8, 49?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-305)\/(-122))\/((-6)\/(-4)))\/(20\/10).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18884*p**4 - 18916*p**4 + 37770*p**4 - p**3 - 6*p + 3*p to the form m*p**4 + h + i*p + g*p**2 + j*p**3 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 120\/21 + 10\/35. Solve v*k - 9 = 3*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r - 4*r + 3*r)*(-43*r**4 - 38*r**4 + 39*r**4) + 12*r**5 + 115*r - 115*r.\nAnswer: -72*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(114)\/(sqrt(24)\/sqrt(4)) + 3.\nAnswer: 3 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 11:55 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express i**2 - 85*i**2 - 7*i**3 - 22*i**2 + 5*i**3 in the form c*i + z + f*i**3 + a*i**2 and give a.\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oowckwwooooo. What is prob of sequence kcw?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 + 242 + -3)\/(2 + -3). Let y = v + 246. What is the highest common factor of 143 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 5:22 PM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/7? (a) 409 (b) -315 (c) -5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 111 + -233. Let b(c) = -32*c + 9. Let w be b(-7). Let o = u + w. What is the remainder when o is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-6)*-6 + 2. Let d be (-9)\/(-54) + (-2)\/s. Let o = 10 - 10.3. Which is the closest to -1? (a) d (b) -1\/3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25915.\nAnswer: 5, 71, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = t + 15, -t - 1904069*m = -1904072*m + 13 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, d: 12}. Give prob of picking 3 d.\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -5 - (-20 - -23).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = a - 10*w + 536, 3*w + 1007 = -2*a. Let q = a + 773. Is 31 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_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 3*t = 3*f + 39, 0 = -0*t - 5*t - 15. Let w(m) = 48*m**2 - 940*m - 240. Let q(x) = 10*x**2 - 188*x - 48. Let u(g) = f*q(g) + 3*w(g). Factor u(d).\nAnswer: -4*(d - 12)*(4*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/(-8)*(-90584)\/64439193?\nAnswer: 2\/271","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1039234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16411, -131405, -443535, -1051369, -2053475, -3548421, -5634775, -8411105?\nAnswer: -11975979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2151 + 3028. What are the prime factors of p?\nAnswer: 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235526 is divided by 899?\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(2\/19)\/o*o**(-1\/4)*o*(o*((o**0\/o)\/o*o)\/o)**(-22) assuming o is positive.\nAnswer: o**(1661\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*29.7.\nAnswer: 14.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 2, -2\/9, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24805094?\nAnswer: 2, 12402547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 8 (c) -44\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -12. Let k = -24188 + 24208. Solve -t*p = k, -8 = -v + p - 1 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 12 - 32. Put 5, 2, l, 4 in descending order.\nAnswer: 5, 4, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 122314033 (base 5) to base 12\nAnswer: 244797","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1170907452 to the power of 1\/3, to the nearest integer?\nAnswer: 1054","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**(-4\/7))\/m)\/m)**(-27) assuming m is positive.\nAnswer: m**(81\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12036 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 5556 - 5862. Let p = -1494 - o. What is p rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) - 5*sqrt(171)*4) + -1*sqrt(171)*3)\/((-2*-2*sqrt(54))\/(-1*sqrt(726))).\nAnswer: 121*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x + 5*x + 281*x**2 - 5*x.\nAnswer: 281*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -67296129\/7 or -9613732?\nAnswer: -67296129\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -357347490 to the nearest 1000000.\nAnswer: -357000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.5 - 4.5. Let q = m + 3.9. Let d = 112\/261 - 6\/29. Put q, -0.2, d in ascending order.\nAnswer: -0.2, q, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3 - 0.4. Let d = x - 0.9. Let f be (-1)\/(((-27)\/(-6))\/(-3)). Are f and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2181*f - 4226. Give c(-2).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-h + 1 - 7*h + 4*h)*(2*h**2 + 2*h + 2 + 69*h**3 - 49*h**3 + 8) to the form s*h**3 + w*h**2 + m*h + i*h**4 + a and give m.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nfgfcnfnfccccfcnn. Give prob of picking 1 c and 1 n.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 n when two letters picked without replacement from nnnmlllnnemn?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 189*k + 33 = -190*k, -2*d = 5*k + 11 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 5746 = 2*b - 16739, -n + 3681 = 4*b. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -5*n**2 - 31*n + 13. Let i(z) = -2*z**2 - 15*z + 6. Let f(x) = -7*i(x) + 3*o(x). Let g = -15 - -23. Is f(g) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 3545 = 1201. What is the hundreds digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13311 or 13307?\nAnswer: 13311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -48 * -913756\nAnswer: 43860288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 22.16 or -10.13?\nAnswer: 22.16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14812?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 3*g - 4*f - 372, 3*f = 2*g - 734. Calculate the highest common factor of g and 156.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4739*c + 4750*c + 11 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 - (-1050 + 1021 - (-5 + 1)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 1. Suppose 7 = -2*b + m. Calculate the remainder when 53 is divided by (2\/b)\/(9\/(-189)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, r: 5, g: 1, d: 1, a: 7}. Give prob of sequence dfa.\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 m when two letters picked without replacement from jajmaja?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/6000 and 53\/3408300.\nAnswer: 68166000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2447196.\nAnswer: 2, 3, 47, 4339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -10 - 20. Suppose a*l + u = 4 + 16, 15 = -3*u. Solve -3*c - 5*x = -19, 3*x = l*c - x + 30 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 - 4*p + 4. Let j be h(-4). Let n(z) be the second derivative of 0*z**2 - 1\/60*z**5 + 0*z**j + 1\/18*z**3 - z + 0. Factor n(x).\nAnswer: -x*(x - 1)*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 2*h**3\/3 - 52*h**2\/3 + 256*h\/3 - 320\/3 = 0?\nAnswer: 2, 4, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + ((-19)\/(-4) - 5). What is the closest to t in -7, -1\/5, 5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120\/75*(-10)\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3247 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*f*m*n - 148*f*m + 5*f*n*q + 2*m*n + 9*q wrt n.\nAnswer: 6*f*m + 5*f*q + 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*j**3 + 9*j**3 - 26*j**3 - 4*j.\nAnswer: -31*j**3 - 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {a: 2, j: 1, r: 7}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -3*f - 2. Let c be v(-2). Suppose 99*m + 24 = 93*m. Let z = -7 + 1. Sort c, z, m in decreasing order.\nAnswer: c, m, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3339 - -13551?\nAnswer: 1688a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 40032 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*o + 65*o + 41*o)*(-4 + 4 + 4)*(-23 + 58 - 28)*(4 - 1 - 2).\nAnswer: 2548*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -34 divided by 447647\nAnswer: -34\/447647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d + 11. Let r(b) = -b - 10. Let i(u) = -5*r(u) - 4*y(u). Let m be i(-4). Suppose 2*a = -2*a - k + 370, m*a - 5*k = 174. Is a a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*q - 4. Which is smaller: q or -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119275607.\nAnswer: 11, 10843237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x - 4. Let l(w) = 2*w + 4. Let j = -1 + 4. Let o(q) = j*c(q) + 2*l(q). Let p be (-426)\/(-71)*(-8)\/6. Calculate o(p).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -5. Let l = 0.14 + -0.14. Let n = l - 0. Which is the closest to -2? (a) k (b) n (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 17015921 and -45.\nAnswer: -765716445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 0, 4, -0.3, -4, 390?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*l + 2 = 54*l. Sort -2\/13, -3\/7, l, -45 in increasing order.\nAnswer: -45, -3\/7, -2\/13, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9639 and 425187?\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 0.4, -1\/5, -1\/381, -47, 0 in decreasing order.\nAnswer: 0.4, 2\/7, 0, -1\/381, -1\/5, -47","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l**2. Let a(j) = -75*j**3 - 6*j**2 - 20. Give -a(z) + 3*x(z).\nAnswer: 75*z**3 + 20","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 - 19. Does i = -2\/269?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -69083\nAnswer: -207249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 8 + 23. Solve -f + 1 = o for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -129945 - 134.6?\nAnswer: -130079.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tiitthjtijtjte. What is prob of picking 2 t?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*y**2 + 23 - 23 + (-6*y**2 + 4*y**2 + 3*y**2)*(-2 - 4 + 4) - 12*y**2 + 6*y**2 - 5*y**2.\nAnswer: -30*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 - 4*x - 12. Let z be o(6). Let p(l) = 35*l**2 - 31*l. Let w be p(1). Put 5, w, 2, z in increasing order.\nAnswer: z, 2, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/17)\/k**6*(k*k**(1\/5)*k*k)\/k**8)\/(((k*k\/k**(5\/3)*k)\/k**(-3))\/(k**2)**11) assuming k is positive.\nAnswer: k**(1766\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - 27*u**2 + 237*u - 6401. Determine d(27).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 638088182 to the power of 1\/2, to the nearest integer?\nAnswer: 25260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 496\/(-186)*27\/18\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - (14 + -29) - -1) + 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 108\/199 or 1?\nAnswer: 108\/199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 - 2*q - 1. Let o be z(-1). Suppose 0 = -o*y + 3*y. Let a be -5 + y - (-6)\/2. What is the biggest value in -2\/5, a, -3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + -1)\/(0 + 1). Let a(r) be the third derivative of -r**4\/6 + r**3\/3 - r**2 + 2. Let n(q) = 5*q - 2. What is t*a(v) - 2*n(v)?\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.1 - -1. Suppose -2*k - 139 = -9*h, -28 = -2*h - 14*k + 13*k. Is y at most h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of -a**3\/6 - 11*a + 1. Let z(s) be the first derivative of b(s). Let r(t) = 9*t**2. Calculate z(r(k)).\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (396\/330)\/(4\/(-20))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -14 * 240\nAnswer: -3360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 12 + 4)*(3 - p - p - 5).\nAnswer: -44*p - 44","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156*d + 28*d = 263*d + 1564. Which is the closest to d? (a) -1 (b) 4\/11 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/5)\/(136\/40 - 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence us when two letters picked without replacement from uyrds.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21877 and 1503.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2796454 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) - 3*sqrt(85)*1)\/(5*((sqrt(10)\/sqrt(2) - sqrt(5) - sqrt(5) - sqrt(5)) + sqrt(5))))**2 + (-5 + sqrt(1377)*-1)**2 + 2.\nAnswer: 90*sqrt(17) + 35168\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -38398475*y**4 - 32867*y**2 - 294?\nAnswer: -921563400*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of -g**4\/4 + 2*g**3 - 3*g**2\/2 + 1. Let i be z(6). Calculate the least common multiple of i\/9 - 1*-7 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2000111100020 (base 3) in base 13?\nAnswer: 2b72a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 6:07 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 67 + -63. Suppose -689 = -w*j + 391. Let g = 18 - -12. What is the greatest common divisor of g and j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4*3\/((-6)\/(-1)). Suppose 0 = 5*v - 3*x - 59 + 3, v + 2*x = 6. Let l = v + -5. Solve -2*y - 23 = -4*i + i, -l*i + 33 = -g*y for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 25 (b) -0.2 (c) 5 (d) 7821\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000032725 rounded to 6 dps?\nAnswer: 0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 167, 243, 319?\nAnswer: 395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200202021222 + -202?\nAnswer: 200202021020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105 + 105 - 20*k**2.\nAnswer: -20*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**2 + 5*w**2 - 4*w**2)*(31*w + 2*w - 9*w) + w**3 + 4 - 4.\nAnswer: -47*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85668.05 millennia to years.\nAnswer: 85668050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -7*d**2 + 4*d - 6. Let w(x) = 20*x**2 - 12*x + 17. Give -8*c(a) - 3*w(a).\nAnswer: -4*a**2 + 4*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 - -20. Solve k*i - 7*i = 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7581744.4 and -4.\nAnswer: 30326977.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-4))\/(80\/(-32))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 6 + 6. Suppose 4*i + 2 = l*i. Does 10 divide 11 - (2 + (-3 - i))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 10:03 AM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1148519 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - l + 1. Let u(s) = -s**2 + 3*s + 4. Let c(t) = -3*b(t) - u(t). Differentiate c(d) with respect to d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 36\/205 (b) 2\/7 (c) 0 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 28895600 to the nearest 100000.\nAnswer: 28900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 605452.\nAnswer: 2, 23, 6581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) -1 (b) 1.03 (c) -7 (d) 4 (e) 0.24\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 less than -116897743808?\nAnswer: -116897743807.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from effvnvvvnvivsffvf. Give prob of picking 3 f and 1 e.\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.595533 litres in millilitres?\nAnswer: 9595.533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*b = -133*b - 832 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**2 + 4510*m - 1017005.\nAnswer: -5*(m - 451)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1940, 7772, 17494, 31106?\nAnswer: 48608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -t**4\/2 - 5*t**3 + 53*t**2\/2 - 21*t = 0?\nAnswer: -14, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnnmnnmnnmnrnn. Give prob of sequence nmm.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - x - 3)*(3*x - 3*x**2 - 3*x) - 2*x**3 + 0*x**3 + 3*x**3 + 39*x**2 - 39*x**2 - 6*x**3.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1313 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 5)*((-2*h - 2*h + 3*h)*(56 - 108 - 60) - h - 3*h + 6*h).\nAnswer: 228*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(4\/5))**(3\/34)*n**(-7)\/n**(-10) assuming n is positive.\nAnswer: n**(261\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 + 17*t - 18. Calculate g(-18).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 580, 5, 19 in descending order.\nAnswer: 580, 19, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*c - 11*c - 160 = 0 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 5*n - 8*n - 3*a, 4 = -2*n + 3*a for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 174 - 166. What is the least common multiple of t and 34?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 52\/153 - 1\/153. Let f = 0.5 + -0.5. Let v = -0.4 - f. Which is the closest to 0? (a) t (b) v (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/152, 28, -3.8, 4\/5?\nAnswer: -3\/152","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a + 8 - 9 + a + 10 to the form s*a + l and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20.8, 0, -54\/5 in ascending order.\nAnswer: -20.8, -54\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(-1\/12)*v)*v)\/v**7 assuming v is positive.\nAnswer: v**(-71\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 5*x)*(x + x + 0*x) + (4 - 4 - x**2)*(1 - 2 + 0) + 5*x**2 - 4*x**2 + 2*x**2 - 3*x**2 + 4*x**2 + x**2 in the form w*x + k + n*x**2 and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 8 = -0*l - 5*o, -16 = -2*l + o. Let m be (12\/9 - 1)*l. Let b = 4 - 2. Solve -p + b = -m*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z - 2*z + 1 + 0*z + 2 - 2*z - 2 + (z - z - 2*z)*(-2 + 1 + 3).\nAnswer: -8*z + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -1, 3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(121)\/(sqrt(11) + sqrt(539) + 1*sqrt(539) + sqrt(11)) - (-2*(sqrt(66)\/(1*sqrt(6)) + sqrt(11)))**2.\nAnswer: -176 + sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 991861 and 7267.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4080.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 9345*r - 24. Let c(y) = 61381078*y - 157641. Determine 8*c(d) - 52547*w(d).\nAnswer: -3091*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -r - 6. Suppose r*t = 10*t - 4. Factor -t*o**3 - 2 - 2*o**2 + 4*o**2 + 4*o + 6 - 6*o**2.\nAnswer: -4*(o - 1)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 2 n, and 1 z when four letters picked without replacement from zttzznzznzttnnznz?\nAnswer: 16\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0028911 to 5 dps.\nAnswer: 0.00289","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 132 + -127. Let c be (2 - (2 - 1))*1. Let i be (3\/3)\/1*7\/c. Sort -5, g, i, -2 in increasing order.\nAnswer: -5, -2, g, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*247\/15 - 24\/(-15). Solve -4*s - 16 = -4*j, -u = -s - 5*j - 31 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 10 = -n, 0 = n - 4*n + d + 18. Suppose 2*l - n = x, 1 = -l + 3*l + x. Calculate the remainder when 44 is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 979.\nAnswer: 1\/979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and -60497088875407.\nAnswer: -60497088875407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2 - 2410020*i + 2410018.\nAnswer: 2*(i - 1205009)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 5, 1057, 0.4, 0.01?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0011523 rounded to four decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) - (sqrt(72) + 3*(sqrt(72) + -1*sqrt(72)) + sqrt(72) + sqrt(72)))\/sqrt(4))\/((sqrt(180)\/sqrt(3)*3)\/sqrt(10)).\nAnswer: -2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 6456?\nAnswer: 6456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1))**(-24)*(h**(-1\/14)\/h)\/h**(-6) assuming h is positive.\nAnswer: h**(405\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5162622 and 294.\nAnswer: 252968478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -119525168 + -1.997292.\nAnswer: -119525169.997292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 396\/14 - 14\/49?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (13\/5 - (-24)\/60)*1. Suppose -6 = -k*m + b, 4*m - 5*b = 2 + 6. Suppose 6 + 1 = 3*d - y, -y + 25 = 5*d. Solve d = m*i - 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4\/187 + 541\/935. Let k = 207 - 1032\/5. Factor -k*n**4 + p*n**2 - 3\/5*n**3 + 3\/5*n**5 + 0 + 0*n.\nAnswer: 3*n**2*(n - 1)**2*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 6*m - 3*m, 2*m - 2 = 2*d. What is the second derivative of g - g - 3*g + 6*g**2 - d*g**2 wrt g?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 1. Let s(z) = -z + 9. Let y(k) = -s(k) + 6*x(k). Suppose 5*v + 3 = 28. Give y(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of -394*t**5\/5 + 28*t**4 - 1195*t. Find the third derivative of w(i) wrt i.\nAnswer: -9456","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + 128 = 530. Suppose 4*y = 6*y - 2*g + 34, 5*y + 4*g = -l. Let q be -3 - (-5)\/(y\/(-6)). Which is greater: -8 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1236)\/252 + (-15)\/(-3)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-10)\/(-15))\/((-184)\/(-624)*-4) and -32\/3.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1 + sqrt(1008)) - sqrt(1008))**2 + sqrt(1008).\nAnswer: 60*sqrt(7) + 1012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -4*h**3\/3 - 3*h**2\/2 + 5*h - 2. Let l(m) = 20*m**2 + 14*m - 24. Let v be (-16)\/40 + 52\/(-20). Calculate v*l(b) - 14*d(b).\nAnswer: -4*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 8:37 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from myqim. Give prob of picking 1 y and 1 q.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 63, -1, 5, 0.5, 3 in descending order.\nAnswer: 63, 5, 3, 0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1427121 divided by 89\nAnswer: -1427121\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.92 - 2.93. Let p = k + 0.01. Let l = 4 - p. Sort -0.3, l, 2 in descending order.\nAnswer: 2, l, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97238 is divided by 164?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 9:24 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34270 is divided by 58?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 331804 divided by 6.\nAnswer: 165902\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22.6 + 22.9. What is the nearest to -1 in v, -1, -3, -3\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6\/13 (b) 5 (c) 0.1 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 2*n + 48 = 0, -5*q + 4*n + 23034 = 22794 for q.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 194 (b) -0.1 (c) -0.25596\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**4\/3 - 7424*j**3\/3 - 4057658*j**2 + 5961360640*j\/3 - 644784910225\/3.\nAnswer: -(j - 205)**2*(j + 3917)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 27.17 and -0.465.\nAnswer: 26.705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -449 - 15?\nAnswer: -463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 (base 8) in base 4?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004119 to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 7, o: 4}. Give prob of sequence soso.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 225 and 2880.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2*g = 15 + 9, -5*l = -3*g - 40. Let i(s) be the second derivative of s**4\/12 - 3*s**3\/2 + 11*s**2\/2 + s. What is the units digit of i(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -194, -1\/4, 0.4, -1\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/14 and 65\/164.\nAnswer: 1148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -5*z**2 + 184340*z - 184335 = 0.\nAnswer: 1, 36867","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 26\/(-91) - (-2)\/7. Suppose 0 = -3*q - b - 350, -b + s + 1 = 0. Let h = 89 - q. What is the tens digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4225 rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*r - 3 = -113*r - 3. Let k(v) be the second derivative of r*v**2 + 0 + 1\/180*v**6 + 0*v**4 + 0*v**3 + 15*v - 1\/120*v**5. Factor k(w).\nAnswer: w**3*(w - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22439913?\nAnswer: 3, 7479971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(35)\/sqrt(7) + -4*sqrt(125))*-6.\nAnswer: 144*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(l\/l**(13\/3)))\/l)\/(((l\/(l*l**(-5\/8)))\/l)\/l) assuming l is positive.\nAnswer: l**(137\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/10 + (17 - 18)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(363) - ((sqrt(6) + sqrt(24)\/sqrt(4))\/sqrt(2) + sqrt(3)))**2.\nAnswer: -32*sqrt(3) + 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150339 is divided by 535.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 11:27 AM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 7, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000964194 to seven dps.\nAnswer: -0.0000096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 42872*j - 214371. What is b(5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19.8 - -23.6. Round a to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(104)\/(sqrt(8) + sqrt(24)\/sqrt(3)).\nAnswer: -4 + sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - b**2 - 967*b - 3 + 517*b + 0 + 212*b.\nAnswer: -b**2 - 238*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/44 and 103\/970400.\nAnswer: 10674400","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 7:54 AM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3420420103 (base 5) to base 3\nAnswer: -112021201010121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 433322 + -2002?\nAnswer: 431320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (2*(-2)\/(-10))\/(23\/115)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -406, -37, -0.5 in decreasing order.\nAnswer: -0.3, -0.5, -37, -406","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 0.0401\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-10) - (-483)\/315.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 4. Suppose -2 - j = -3*s. Put -1, -4, s in decreasing order.\nAnswer: s, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88412704?\nAnswer: 2, 547, 5051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0\/2 - 3)*2. Let g(v) = 2*v + 5. Let p be g(x). Let u be (-7 - p)*1\/(-2). Which is smaller: u or 6\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90979 a multiple of 317?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 313323543 and 7444?\nAnswer: 1861","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 61*x**2 - 2*x + 1. Let q be o(1). Suppose 0 = 3*p + p + 2*z - q, 0 = 3*p - 5*z - 45. Does 4 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -13. Suppose 4*l + 2*z - 12 = 6*z, d*z - 8 = -l. Suppose -2*g + 12 = g, l*a - 2*g = 6359992. What is a rounded to the nearest 100000?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5036689*m**2*z**2 - 61212359*z**2 wrt m.\nAnswer: 10073378*m*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1725 - 823 + 407 = 44*p - 117 for p.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Convert 2590 (base 10) to base 2.\nAnswer: 101000011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -23*g**2 + 1873*g + 48. List the prime factors of c(24).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 369, 367, 355, 327, 277?\n\"Answer: -b**3 + b**2 + 2*b + 367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 196973579 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7921520 and 2340.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*f - 14*f**2 + 3*f**4 - 759 - 4*f**2 + 12*f**3 + 774 = 0 for f.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a4 + -31?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 6*g**2 - 37*g - 28. What is b(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 73107013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(187)\/sqrt(1100) + sqrt(17) - (sqrt(17) + -2 + sqrt(17) + sqrt(17) + -4)**2.\nAnswer: -189 + 371*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i + 5*i**4 + i**2 - 10 - 2*i - 166*i**3 + 166*i**3 to l*i + m*i**4 + v*i**2 + u + x*i**3 and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4 - 15)*-4*1. Suppose -2*x + y = 4*g - 3*g, 0 = -4*g + 4*x + 352. Let w be 120\/g + 3\/(-7). Solve o + 4 = w for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-20) + 4\/5)*-1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.24 + -1.46. Let n = 15 + -9. Let i = o + n. What is i rounded to zero dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*m**2*x - 3*m**2 - 45*m*x - 2*m - 29250*x with respect to m.\nAnswer: -6*m*x - 6*m - 45*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-12)\/r**(-18)*((r**(2\/13)*r)\/r)\/(r\/(r\/(r**(-7)\/r*r))) assuming r is positive.\nAnswer: r**(171\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**3 - 5*c**2 + 5*c - 4. Let y be p(3). Suppose -17 - 11 + 2*w**3 - 6 + y - 2*w + 14*w**2 = 0. What is w?\nAnswer: -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 + 17. Let z = w + 55. Is (z\/6)\/((-1)\/(-3)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-7))\/(-6 - (-40)\/7). Solve -u - 3*w - 4 = -4*w, p*u + 4*w - 10 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1808920 - 8317414197\/4598. Find the common denominator of 91\/8 and g.\nAnswer: 18392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*x + 10*x - 12. Suppose -n = x*t - 19, t + n = -1 + 5. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a - 11. Let r be i(12). Let z be 18\/(-9)*r\/1. Let k = z - -8. Calculate the highest common factor of 15 and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/6*(-157)\/((-1099)\/9).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*g**2 - 66*g**2 - 60*g**2 + 9*g**3 + g**3.\nAnswer: 10*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -3*n - 0*n + 95, 4*r + 70 = 3*n. Let h be n\/4*(-2)\/(-3). Let i = h - 3. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, q: 14, s: 5}. What is prob of picking 2 s and 1 h?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.808879g to nanograms.\nAnswer: 9808879000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 18\/6*((-8)\/(-6))\/1. What is the highest common divisor of 10 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -4, 0 = -3*y + 3*g + 12 - 3. Solve i - 19 = -5*z, 139*z - 14 = 136*z + y*i for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + 3 + -3 - -7. Let t(q) = -q**3 + 0*q**2 - 11*q - 3 - 2*q**2 + 10*q. Let c be t(-3). Solve -c = r*a + 11 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-5*sqrt(3000))\/sqrt(6) - (-1*sqrt(20)*-2)\/(1*sqrt(100)).\nAnswer: -252*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -104802281 and -17274?\nAnswer: 104785007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1003021210 - -2?\nAnswer: 1003021212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9399*f**2 - 9407*f**2 + 28213*f**2 - 9397*f**2.\nAnswer: 10*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a - 5. Let f(l) = l - 3. Let x(z) = -5*f(z) + 3*o(z). Let g(q) be the first derivative of 2\/3*q**3 + 0*q**2 + 1 + 0*q. What is g(x(m))?\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -6058, -6056, -6054, -6052, -6050, -6048?\n\"Answer: 2*n - 6060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 2433988 and 2433989 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 52 = -6*l. Let v be ((-2)\/(-4))\/((-3)\/(-24)). Solve l*b - 1 = d, -v*d + 5*b = -2*d + 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2 - 106992*u + 40294760.\nAnswer: -2*(u - 374)*(u + 53870)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2750 and 3785.\nAnswer: 1035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/p**0*p)**(-3\/14))**(-1\/2) assuming p is positive.\nAnswer: p**(9\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lq when two letters picked without replacement from wqvwqvvlxllvwllw?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.0941 + -0.0941. What is the closest to c in -0.2, 0.003, -5?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11212 + -10102122121?\nAnswer: -10102211110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/(-8)*9*24\/756.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(315)\/sqrt(175))\/((2*sqrt(45))\/sqrt(5) + sqrt(9)).\nAnswer: sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 97 + -99. Let b = 1406 + -42163\/30. Let r = b + 1\/10. What is the second smallest value in 9, r, d, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**1)\/(c*((c\/(c\/((c\/(((c*c**(5\/2)*c)\/c)\/c))\/c)*c))\/c)\/c*c)*c**(-1\/3)\/(c\/(c\/(c\/(c\/(c\/(c**(2\/9)*c)))))) assuming c is positive.\nAnswer: c**(115\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c = 11*c + 3. Put -0.5, c, 0.2, -1\/5 in ascending order.\nAnswer: c, -0.5, -1\/5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.3 + -29.6. Let u = c + 31. Let x = -0.69 + 6.69. Sort 2\/15, u, x in descending order.\nAnswer: x, 2\/15, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174520 > 174523?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(847) + 1 + 2).\nAnswer: -11*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 3:28 AM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 7a699?\nAnswer: -7a6a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*f*n**4 + 96*f*n**2 - 2*f*n - 2*f - 375501823*n**4 - 27*n**2 + 343*n wrt n?\nAnswer: 48*f*n - 9012043752*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1183365485.\nAnswer: 5, 236673097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1108623 is divided by 797?\nAnswer: 793","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 11\/6, 3, 1942, -0.2, -2\/465?\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 195 and 5170074?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13569 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 - 33. Let x be (28\/(-105))\/(d\/(-10)). Is x greater than -0.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + 10093\/9 + 144\/(-324). Calculate the highest common factor of 9 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + 1)\/(13 - 12). Suppose 4*t = -g + 17, 3*t = -2*y + 44. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 662 - 407. Suppose 3*x + 0*x = i. Let c(t) = t**3 + 3*t**2 - 7*t + 1. Let j be c(3). What is the greatest common divisor of j and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*2\/(-4)*0. Let c(r) be the second derivative of d*r**2 + 0 - 1\/3*r**3 - 2*r. Let x(h) = 2*h**2. What is x(c(a))?\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 655929 is divided by 86?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - 428*m**2 - 2529*m + 896. Give g(-422).\nAnswer: -370","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*w - 6*w + 1210 - 1182 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.14 in 3\/5, -3\/2, -5, -1, 65?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (29\/((-5684)\/252))\/(24\/(-728))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 11*p**2 - 29*p + 1. Calculate b(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.2273053 rounded to two decimal places?\nAnswer: 6.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 132530809 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 209663, 419451, 629239, 839027, 1048815?\nAnswer: 1258603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 991961801?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7\/14*6 - (-1 - -2). Let h be (-3)\/(-3 + 93\/18 - s). Is (-4026)\/(-36) - 3\/h a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -276 (base 8) to base 15.\nAnswer: -ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -33*x + 29*x. Suppose -r - 1199 = -3*f - 2*f, -x = 5*r. Let d = f + -119. Is 24 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -139.74 - -136.8387. Let a = i - -2.9. What is a rounded to 4 dps?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6*(-6)\/(-45))\/((-2)\/(-185)). Determine t, given that 0*t**2 - o*t**3 - 15*t**2 + 71*t**3 = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 768 and 1304832?\nAnswer: 1304832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2204\/57 - 6\/9. Suppose -216 = -x*v - 26. Solve 0 = -5*q - 0*b - b + v, 4*b + 28 = 4*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-8\/5))**44)**(28\/3))**(3\/32) assuming r is positive.\nAnswer: r**(-308\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 - 4) + 14 + -4 + -1.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13015475173 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 k when two letters picked without replacement from kzrdrzyx?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h + 12. Let b be y(9). Sort b, -2, -3 in descending order.\nAnswer: b, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 5*r + 14 = 0, 5*r - 3 = -2*q + 3. Suppose 3*d + 3*w - q*w - 30 = 0, w = d - 8. Solve a + 22 = 4*c, 4*a = d*c - 0*a - 33 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 2 = -9*s - 17, -3*o + 5*s = -9 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4847258 is divided by 4367?\nAnswer: 4255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -163 + (-34 - -124) + 114\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 9*t - 4*t - 23, 3*t - 6 = 2*n. Suppose 4*u = -3*v - v + 44, -5*u + n*v + 55 = 0. Let s = -43 + 73. What is the remainder when s is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 374984 is divided by 124623.\nAnswer: 1115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnngg. What is prob of picking 1 g and 1 n?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-14) - (-16)\/7. Suppose m - 3*o = 108, 3*m - h*o - 316 + 27 = 0. Suppose -4*d + 148 = 2*z, 4*d + 4*z - m = 63. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 383 + -429.7. Let b = n - -52. Round b to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -8*y. Let n(q) = 70*q - 15*q - 24*q - 33*q. Calculate -18*n(j) + 4*w(j).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -144, -221, -200, -63, 208, 631, 1224?\n\"Answer: 3*f**3 + 31*f**2 - 191*f + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 12, 40?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 3 - 21 = 0. Let o(x) = -95*x**3 - 17*x + 94*x**3 - 15*x - 2 - 2 - 7*x**2 + 27*x. Give o(i).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/3)\/u)**(3\/5)\/(u**(-1))**23 assuming u is positive.\nAnswer: u**(111\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -8*m**3 + 3*m**2 - 1 - 4*m + 8*m - 2*m - 15*m**3. Let u = -8 - -6. Is k(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16703856?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -f**3\/3 + f**2\/2 - f - 1066. Let l(p) = 29*p**2 - 2. Give -l(y) + 2*v(y).\nAnswer: -31*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -1131919?\nAnswer: 5\/1131919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = x - 24, 5*s = 2972*x - 2973*x + 34 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-2)*32\/20\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3*-1*sqrt(1152)*-5)\/(sqrt(27)\/sqrt(12) + -2*sqrt(576)).\nAnswer: -1200*sqrt(2)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -177*b**6 - 17*b**5 - 6664*b**2.\nAnswer: -21240*b**3 - 1020*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20258 > 33893?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -5*h. Let y(k) = -k - 5. Let n be y(-6). Give d(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.08? (a) -0.04 (b) 13 (c) -1\/2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) -3 (c) 1711 (d) -0.06 (e) -2 (f) 2\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 3*p - 219 = 0. Suppose -f + p = 1. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 5*r**2 + 2*r - 2. Let i(o) = o**3 - 6*o**2 + 3*o - 3. Let p(s) = -3*i(s) + 2*u(s). Is p(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 13 + 23)*(-3*s + 2*s - 2*s).\nAnswer: -39*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1841 in 0.3, -1\/3, -4, 0, 4\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220 is divided by 197.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 128 divide 5586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 14282.433 to the nearest integer.\nAnswer: 14282","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**(4\/3))**(-3\/26) assuming q is positive.\nAnswer: q**(-5\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 45 - 93. Let o be 4\/(-12) + k\/(-9). Suppose -31 - 14 = -o*f. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 310 - 129. List the prime factors of f.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2 - o - 2 + 2*o - 3. Determine a(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-8\/9))**(-9) assuming v is positive.\nAnswer: v**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 345 divide 1152990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from xodxbxrrrboodoboddo.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -1482*u**3 + 10*u**2 - 6*u - 12. Let r be n(6). What is r rounded to the nearest 10000?\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17998 - 4895433\/272. Which is bigger: 1 or a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of -1 + 0*v**2 - 1\/6*v**3 + 0*v + 1\/24*v**6 - 1\/16*v**4 + 1\/10*v**5. Determine l, given that h(l) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1122 and -1122 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 62.\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/6)\/((-1)\/(-21)). Suppose 4*z + i = 5*g, -4*z + 5 = g - 2*g. Solve 0*u - 6 = -z*u, -4*u = 4*w + 8 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnosgvop. What is prob of picking 1 n and 1 p?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*c**2 + 3*c**2 + 351930*c**3 - 351936*c**3 + 2*c**2.\nAnswer: -6*c**3 + 10*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -234 - 2820 = 6*x. Which is greater: -508 or x?\nAnswer: -508","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 9, i: 3, q: 3, r: 2}. Give prob of sequence dir.\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -1*(5*-3*sqrt(1584) - (sqrt(1584) + -3)*2))**2*-2.\nAnswer: -915680 + 6528*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-38 - 144 + 30)*(-s**3 + 2 - 2) + 13*s**3 + 14*s - 14*s)*(-2 - 7 - 4) to h*s**3 + x*s + k + r*s**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 4 = -m. Suppose 4*s + 1 = 17. Suppose -j + m*j - 187 = -5*t, s*t + j = 144. Is t a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of u**4\/3 - 1412*u**3\/3 + 4218*u**2 + 2*u + 5485. Factor h(p).\nAnswer: 4*(p - 703)*(p - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 90 - 2abd?\nAnswer: -2a2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 1754020?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -70524.619 rounded to the nearest one hundred?\nAnswer: -70500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 32*y + 440. Calculate s(-13).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -105730.157088387 - -0.153588387. Let w = y - -105705. Let j = -25 - w. Round j to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -230121 (base 4) to base 14\nAnswer: -106d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilometer in meters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*(-4)\/5*(-12)\/96?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6374 a factor of 490651398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*h, -4*d - 4*h + 30 = -5*h. Let l = d - 3. Suppose -6 = -l*j - 2. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4123, 3798, 2911, 1180, -1677?\nAnswer: -5942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 16, -919, -8 in descending order.\nAnswer: 23, 16, -8, -919","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -6*z**3 + 257*z**2 - 213*z + 130. Let c be b(42). Solve 4*j = 5*a + 41 - 6, -2*a = -c*j + 26 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*d - 3*d**3 + 30*d - 9*d.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-384)\/(-3360))\/(160\/140)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 2*g**2 + 13*g + 11. What is the remainder when -5 + 8 + 389 + 5 is divided by c(-5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -144 + 66. Let g = t - -141. Suppose -4*c - 19 + g = 0. List the prime factors of c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120\/384*16\/6.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaeaeeeuaauaanaeaw. Give prob of picking 2 e and 1 u.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -7892, -15799, -23706, -31613, -39520?\n\"Answer: -7907*j + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o - 3. Let f(q) = -2*q + 47. Let d(b) = -6*b + 152. Let n(c) = 4*d(c) - 13*f(c). Give -7*n(v) + 6*u(v).\nAnswer: -2*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(4\/3)\/s**(-5\/8))\/(s\/(s*s\/(s*s**7\/s)))**(-45) assuming s is positive.\nAnswer: s**(6527\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 PM and 10:03 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -7*((-255)\/525 + (-1)\/(-5)). What is the third derivative of h*s**2 + 17*s**6 + 15*s**2 - 39*s**6 wrt s?\nAnswer: -2640*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1100 divide 125019400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1 + (sqrt(75)*-6 + 4 - (-5 + (sqrt(75) - (sqrt(75) + -1 + sqrt(75)))))*4 + 2)**2.\nAnswer: -6600*sqrt(3) + 31093","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -405*a**2 - 415*a - 10.\nAnswer: -5*(a + 1)*(81*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2*i = 5, i = 5*g - 2 - 9. Suppose -3*k = -y + 19, -3*k = 3*y - 0*y + g. Differentiate -16 + h**4 - 3*h**4 + 7*h**4 - 2*h**y with respect to h.\nAnswer: 12*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*c**2*p**4 - 11*c**2*p**2 + 7662*c*p**2 - 46089*p**5 + p**3 wrt p?\nAnswer: 72*c**2*p - 2765340*p**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 644, 2\/5, -1261?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + r = -r. Put 9, -2, r in ascending order.\nAnswer: -2, r, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3584 by 164.\nAnswer: -896\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1241 is divided by 54.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33838?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1052798, -2105746, -3158694, -4211642, -5264590, -6317538?\nAnswer: -7370486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1050\/(-150) + 2*625003. Suppose q + 0*q + 4*b = 1550009, -3*q + 4650013 = 5*b. Let r = k + q. What is r rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 3*(sqrt(475) + 0) + -2 - -1*(-1*sqrt(475) + sqrt(475) + 5 + 1))**2.\nAnswer: 4275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -579536, 5, -4, 2, 3 in increasing order.\nAnswer: -579536, -4, -1, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1))**(-16)*z**3\/z**20)**3 assuming z is positive.\nAnswer: z**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-12))\/((8\/1)\/(-4)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 8 = x, -d = x - 0*d for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 2*x - 20. Suppose 0 = -m + x*m. Which is smaller: -1\/10 or m?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, b: 3, e: 2, g: 1, u: 1, h: 6}. Give prob of sequence gj.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 8*v**2 - 15*v + 108. Suppose d = w - 39, 187 = 5*w - 9*d + 6*d. Is s(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 601*d + 32590. What is i(-52)?\nAnswer: 1338","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f\/(f\/(f\/f**(-3))))*f*f*(f\/(f**(6\/11)\/f))\/f*f**(-2\/9)\/f*(f*f*f**(-1)*f)\/f assuming f is positive.\nAnswer: f**(-76\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 12333, 4 in increasing order.\nAnswer: 4, 16, 12333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 9:55 PM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a**2 + a + 3*a**2 - 5 - 2*a**2. Suppose -7*b = 0, 2 = i - 15*b + 11*b. Give y(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -64*m. Let n(j) = -48*j - 7. Let d = -62 - -56. Let q(v) = 41*v + 6. Let f(s) = d*n(s) - 7*q(s). Calculate f(x(p)).\nAnswer: -64*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56 and 15736.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 14 + 2. Suppose 0 = 7*v - c*v - 25288. Let u = v + -13322. What is u rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -326 + 322. Which is the second biggest value? (a) 2\/3 (b) h (c) 1\/3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {x: 8, p: 4, g: 1, l: 5}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, r: 2}. What is prob of sequence rgrg?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jstsyth. Give prob of picking 1 s and 1 j.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 268*o**2 - 113*o**2 - 145*o**2.\nAnswer: 10*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -124575296 greater than or equal to -124575295?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 16 + 32. What are the prime factors of (-1*59)\/(s\/(-9) + 5)?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-72)\/20)\/((-9)\/(-870)). Let g = 231 + f. List the prime factors of g\/(-4) + (-21)\/(-28).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/108 and -53\/966?\nAnswer: 17388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -113*w - 3 + 153*w - 79*w + (-6 + 2 + 0)*(4*w + 2*w - 4*w)*(-5 + 19 - 5) to the form n*w + r and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((-2*sqrt(144) + sqrt(144))\/sqrt(4) - sqrt(324)\/sqrt(81)))\/(-6*(sqrt(12) - (sqrt(768) - sqrt(12))) - -3*((sqrt(108) - sqrt(12)) + sqrt(12))).\nAnswer: 4*sqrt(3)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 615536.\nAnswer: 2, 17, 31, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5137295 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 AM and 5:48 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 4*r - 32 = 0. Let v(n) = n**2 + 8*n. Let h be v(r). Solve h = g + 2*g + 9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7625232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*q + 4 - 4 + 4*q in the form k + t*q and give t.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 50590 and 1183806?\nAnswer: 5919030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6276 by 2.\nAnswer: -3138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1000 + -2021?\nAnswer: -1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -2*p + 358, 6*p = -2*v + p + 367. Suppose -9*b = -8 - 37. Factor v*q**2 - 5*q**4 - 5*q**b + q**3 + 4*q**3 - 171*q**2.\nAnswer: -5*q**2*(q - 1)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k + 5*k + 0*k - 9. Let c be 2*-1 + 1 - -10. What is the remainder when t(c) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -910*z**2 - 3*z**3 + 2*z**3 + 910*z**2.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1034423989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.8, -3, 2\/5, -2, -27?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 6:34 AM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 10*k + 28. Let b be w(7). Does 24 divide 150 + b - (-1 - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42349 to the power of 1\/2, to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 78977179 to the power of 1\/2, to the nearest integer?\nAnswer: 8887","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 154 by 2.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 282\/59 (b) -1\/9 (c) 1 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/16450 and 47\/6800.\nAnswer: 2237200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*g**4\/2 - 15*g**3\/2 - 55*g**2\/2 + 15*g\/2 + 25 = 0. Calculate g.\nAnswer: -2, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2348 + 1470 + 1180)*(0 - a**2 + 0) + (-24 - 6*a + 24)*(a - a + a) as m*a**2 + f + k*a and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1782307 and 5068.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.12 (b) -26 (c) -2\/3 (d) -9\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2*s = 6. Let a(f) = -f**2 - 7*f - 1. Let r be a(s). Calculate the highest common factor of r and 50.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 13. Suppose -r + 9 = -2*w, 2*w + 4*r = w + 9. Let q(g) = -3*g - 13. Let b(i) = -2*i - 7. Let y(d) = w*q(d) + 5*b(d). What is y(n)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43938 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49748 is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence il when two letters picked without replacement from {i: 3, a: 1, v: 4, e: 1, n: 2, l: 1}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/10, -8, -4\/5, 0.2 in decreasing order.\nAnswer: 0.2, 1\/10, -4\/5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -201*p - 200*p - 191*p + 557*p.\nAnswer: -35*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -3*w + 20. Let a be x(3). Calculate the greatest common divisor of a and 176.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(350)\/sqrt(7)*4)*2)**2 + 4 + 3)*2.\nAnswer: -320*sqrt(2) + 6422","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 14001.104733 to the nearest ten.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - 5*y + 6. Suppose 2*i = -i. Suppose r - 9 + 4 = i. What is l(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 17*h**2 - 28*h**2 + 47*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3942*l - 1 + 3942*l - 19*l**3)*(2*l - 1 + 1).\nAnswer: -38*l**4 - 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00945 rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -4*(1 + 3*sqrt(6300) + 5)**2.\nAnswer: -226939 - 4320*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3633 - 3588. Solve -30*o + n*o + 90 = 0 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 10110?\nAnswer: 11001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2457313349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3775 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1267\/4828 - -15\/1207. What is the third biggest value in p, 2\/185, -10\/3?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -116, -478, -1072, -1892, -2932, -4186, -5648, -7312?\n\"Answer: t**3 - 122*t**2 - 3*t + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 148 + -168. Is 305 - ((-40)\/220 + w\/11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/259 + -157\/13209. Let o = w + 3011\/102. What is the common denominator of 2 + (-101)\/2 + 2 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 4*b = 30. Solve -b = 2*i + 4*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z\/z**(1\/2))\/z*z*z**(-4\/7))\/(((z*z*z**(-26))\/z)\/z**(-2\/25)) assuming z is positive.\nAnswer: z**(9047\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*l - 2*h + 14, -22*l + 4*h - 274 + 246 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2896 and 1032080?\nAnswer: 186806480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -bcb99 - 4?\nAnswer: -bcba0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 224 and 674379?\nAnswer: 151060896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (462\/(-147))\/(22 + (-459)\/21)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02 * -64831.\nAnswer: -1296.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 3*s = 12, 4*i + s - 1 = -5. Suppose v = -i*v - 22. Find the common denominator of -44\/3 and -1 + 3\/30*v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -4*k**3 - 5*k**2 - 19*k - 36. Give g(-4).\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 203051 + 4?\nAnswer: 203055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.8 - -6. Let l = r + -1.2. What is the second biggest value in l, 1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 8 (b) -1 (c) 0.2 (d) -4\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-80)\/(-6) - (-5 + (-32)\/(-6)). Solve 6*j + 43 - s = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006249589078 to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 4. Suppose 0 = 3*s + b, 405 = 5*v + s - 6*s. Suppose 4*g - 2*t = -0*t + 310, 0 = -g + 3*t + v. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*f + 57025 - 362566. Calculate the remainder when f is divided by 84.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 331901 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 420 + -418. Let t be 5 + -1 + (1 - h). Solve 0 = -2*d + 3*g - 6, -6 = 3*d + 5*g + t for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -48 + 57. Let i = 1 + 2. Let z = i + 2. What is the remainder when w is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7377.761 meters in nanometers?\nAnswer: 7377761000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3777986 a multiple of 265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1246692273 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 28588 (c) 3 (d) -0.3 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*s - 17409 = -2*s. Let h = 807 - s. Which is smaller: -25 or h?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 6*c - 2*q - 6, 0 = -3*c + 3*q + 9. Suppose -z + 8 - 4 = c. Solve 0 = x - z - 1 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4, -55, -192, -457, -892, -1539, -2440, -3637?\n\"Answer: -7*x**3 - x**2 + x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -1105055435?\nAnswer: -1105055436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 180956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2128544 divided by -101?\nAnswer: 2128544\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -22145024 (base 7) in base 15?\nAnswer: -27b138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 1:16 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 298536 and 7662424.\nAnswer: 22987272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -3 (c) 0.13 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 269 divide 9\/((-108)\/(-16)) - (-18 + 4124340\/(-54))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 54 = -4*t. Let k = -12 + 6. Let p = k + 12. Calculate the highest common factor of p and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.7 - 0.3. Let n = 0.2 + 0. Let x = -3 + 11\/4. What is the nearest to x in n, q, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/6338 and 51\/28?\nAnswer: 88732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7698 + 7690)\/((-8)\/(-74)).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 + 24. Let o(z) = -6*z + 105. Let k be o(16). Suppose k*r - v = 188. 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: b\"What is the rth term of 14576, 14831, 15248, 15821, 16544, 17411?\n\"Answer: -r**3 + 87*r**2 + r + 14489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 41658585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**5 - 2 + 2 + (-3*m**5 + 3*m**5 + m**5 + (-2 + 3 - 3)*(-5*m**3 - 6*m**5 + 5*m**3))*(-2 - 4 + 4).\nAnswer: -29*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14618?\nAnswer: 2, 7309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9 - (-25 - -11 - -13)*(-3 + 3). Solve -q*x + 78 = 123 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -959 - -959.3. What is the second smallest value in -5, 0.1, -2.5, f?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 3*a**4 + 108744*a**3 + 985220616*a**2 - 3942187488*a + 3942622512 = 0.\nAnswer: -18126, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4277520 by -427752.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 31, -2, 1, 5 in increasing order.\nAnswer: -2, 1, 2, 4, 5, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5768 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 10:11 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 364 + -370. Let o be (17 + -15)*(-3 + (-33)\/s). Let l = -17 - -28. Solve -4*j = -0*y + o*y - 23, 3*y + j = l for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 567473 is divided by 189152.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-8)\/(-10))\/(1\/5). Let f(g) = -2*g**3 + 2 + 0 + 3*g**3 - 4*g**2. List the prime factors of f(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-30)\/(-1) + -1 + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9161 + 4572 + 4589 - h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1535819 and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 22 = 2*m - 298, -2*m - 3*p + 320 = 0. Solve -152*j + 40 = -m*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c - 2*c + 6*c)*(3 - 5 + 3) + (-3*c - 3*c + 5*c)*(-2 + 10 - 5).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**3 + 1562 - 1562.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 5, 2\/13, 44, 0, -0.93, 2\/5?\nAnswer: -0.93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 609, 1216, 1823, 2430, 3037, 3644?\n\"Answer: 607*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*5*((sqrt(17) + 1)*4 + sqrt(17)).\nAnswer: 20 + 25*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3199 is divided by 763?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 43*i**2 - 2142*i + 20390. Calculate v(37).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 273 + -138. Is 15 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 347812 and 0.8.\nAnswer: 347812.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 3 + 1 + -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2336033 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*o*t**2 - 37*o*t - 483*o + 4484*t**3 - 13*t - 30713 wrt t.\nAnswer: 6*o*t - 37*o + 13452*t**2 - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23638 and 11150?\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 44a191 + 1150?\nAnswer: 450331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1010 (base 2) to base 16\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184 is divided by 32?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -h**4\/6 - 9*h**3\/2 - 17*h**2\/2 + 1316*h + 2. Calculate p(-13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8\/3 + -26\/9. Suppose 5*l - 22 = 98. Find the common denominator of l and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9958831 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2)\/(h\/(h*h**5)))\/((h*h*h**(1\/9))\/h**(-2\/15)))\/((h\/(h\/h**5))\/((h\/(h*h**15))\/h*h))**(1\/49) assuming h is positive.\nAnswer: h**(766\/2205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gkojggoiiojoig. Give prob of picking 2 o and 2 g.\nAnswer: 36\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -122, -5, 1, -2135, 2, 4.\nAnswer: -2135, -122, -5, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 151\/2)*((-960)\/75)\/32\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4691*p + 4140 = 4687*p - 9280*p - 4680 for p.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n + 1 - 1)*(-6*n - 1161 + 1175 + 0*n) to the form j*n + o*n**2 + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by 18.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j - 1. Let z be a(5). Suppose -z*x - l - 59 = 0, 3*x + 0*l = l - 39. What are the prime factors of 90\/4*x\/(-21)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 34 - 76 = 0. What is the greatest common factor of p and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 1:12 AM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160684.\nAnswer: 2, 17, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-490*r + 72*r + 591*r - 3 + 78*r + 163)*(2*r - 1 + 1).\nAnswer: 502*r**2 + 320*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24.9 + -25. Which is the closest to r? (a) -4\/5 (b) -5 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*q**2 - 12714*q*t**3 - t**3 - 7*t**2 - 45*t wrt q.\nAnswer: 4*q - 12714*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8301897.750311 + 8301892. Let c = -5.77459 - -0.02459. Let u = r - c. Round u to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 - 24\/((-4)\/2). Let p = 1 + s. Solve 0 = -5*v + p + 10 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 = 4*p + c - 2*c, -p - 2*c = -20. What are the prime factors of p - (-10)\/(3 - 5)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + 8\/(-10))*-5. Let v be (3068\/(-14))\/((-9)\/(-56)). Let r = 1362 + v. Put 2\/9, 5, h, r in descending order.\nAnswer: 5, h, 2\/9, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - 1 - q + 3*q + 0*q - 3*q. Let o(m) = -m**3 + 4*m**2 + 5*m + 2. Let l be o(5). Suppose 5*j + l*i = -0*j - 15, -3*i - 6 = 2*j. Determine n(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 1:11 PM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*y**2 + 206 - 2*y**2 - y - 70 - 73 - 64.\nAnswer: -12*y**2 - y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 6:09 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 22, 65, 136, 241, 386?\nAnswer: 577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -3*x - 5, -17*x + 22*x = -5*y + 15. Suppose -l = -2*h + 105401, y*h - 5*l + 210795 = 6*h. What is h rounded to the nearest 1000?\nAnswer: 53000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*x - 168 = 136 for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3 + 5)*(3*w - 2 + 2) - 12*w + 4*w - 17*w + (3 + 0 - 5)*(-2*w + 1 - 1) - 3 + 3 - 2*w + 2 + w - 2 - w - 2 + 2.\nAnswer: -29*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*q - 46108 + 8708 = -10*q. Does 9 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -348, -662, -948, -1212, -1460, -1698, -1932, -2168?\nAnswer: -2412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of 13*f**2\/2 + 7*f + 2. Let w(j) = -7*j - 2. Let n(k) = -28*k - 7. Let d(c) = 2*n(c) - 9*w(c). Give -11*d(o) + 6*l(o).\nAnswer: o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 85*x + 24. Let w be v(5). Let l = 1158 - w. What are the prime factors of l?\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*l - 2933*l + 343335 = 424*l + 19161 for l.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l**2 + 5*l**2 - 3*l**2 + (-715*l + 74*l + 319*l - 909*l)*(-5 + 5 - l).\nAnswer: 1230*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -73.5 + 70. Let f = -3.499876 - t. What is f rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of -p**5\/60 + 13*p**4\/24 + p**3\/2 + 2*p**2 + 85. Suppose 0 = 3*t - 2 - 28. Is q(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -235\/6 + 39. Let i = 0.2 - -0.8. Which is the biggest value? (a) i (b) -0.5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15626 is divided by 1116?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 256 (b) 1 (c) -8 (d) -6 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(96)\/(5*sqrt(4)*1))\/(6*1*-3*-1*sqrt(12)).\nAnswer: -sqrt(2)\/90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*f + 48*f + 133*m - 129*m = -120, 2*f + 6*m - 3 + 7 = -24 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.883 - -0.983. Are 324 and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 + (-2)\/(-1))\/(-6). Let i be (-2 + 6\/15)*15\/(-6). Let d be ((-3)\/9)\/((-2)\/i*1). What is the smallest value in d, r, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 + 43. Let t be (-6)\/39 + 1148\/26. Let z = -31 + t. Calculate the remainder when p is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 935\/(-605)*((-20)\/(-240))\/(1\/(110\/(-5))).\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d. Let u(y) = -4*y. Calculate 21*a(z) - 3*u(z).\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177 = 2*t + 425. Let b be -2 + (0 - -6) - t. Suppose -5*d - 3*m = -2450, -5*m - b - 213 = -d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -40001*z - 3. Suppose -v + 10 = -44. Let i = v + -57. Let a be k(i). What is a rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - 7*u**2 + 6*u - 4. Let k be x(6). Let r(h) = -2*h**2 - h + 2. Let j be r(k). Calculate the remainder when (-1)\/((-24)\/j - 1) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2.1 (b) 4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d - 1. Let r(p) = -5*p + 448. Give 2*r(g) - 4*y(g).\nAnswer: -6*g + 900","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(45) - sqrt(5)) + -2.\nAnswer: 2 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-246)\/(-15170))\/((2\/(-23))\/2) - 378\/(-945)?\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + h**2 + h + 1. Let n(x) = 0*x**2 + 6*x**2 + x - 4*x**2 - x**3 + 1. Let j(c) = 2*n(c) - 3*v(c). Give j(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + -2 + (4 - -1). Let s(o) = -15*o**2 + 13*o**2 - o**l + 2 + 3*o + 2. Give s(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 550985.\nAnswer: 5, 263, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.345328 to three decimal places.\nAnswer: -2.345","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 37*s**2 - 2*s + 1. Let x be m(1). Let y = 59 - x. What is the units digit of (-54)\/10*(8 - y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/560*1*-4.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*l**2*n**2 + 2*l**2*n - l*n**2*v + l*n*v + 30*n**2*v + 2*n*v + 2*n wrt n?\nAnswer: -4*l**2 - 2*l*v + 60*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5719*a + 10100*a = -3767*a + 3749*a - 1330308 for a.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-3)*l)\/l**6*l*l**(-6)*l**4 assuming l is positive.\nAnswer: l**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 6:47 AM?\nAnswer: 2:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17312\/15 - -1154. Let d = -1 + -6. Sort h, d, -4, 0.2.\nAnswer: d, -4, h, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1614, 5, 2, -12 in descending order.\nAnswer: 5, 2, -2, -12, -1614","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13035 is divided by 290.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*a + 3*a**3 + 5557*a**2 + 5577*a**2 - 2*a**3 - 11183*a**2.\nAnswer: a**3 - 49*a**2 - 7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/12825 and 173\/17100?\nAnswer: 51300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -137*n**5 + 65822*n**3 + 33936240*n**2?\nAnswer: -8220*n**2 + 394932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y. Let q(v) = 2*v**2 + 3*v - 3. Let m(a) = -2*a**2 - a**2 + 4 + 6*a - 10*a. Let s(w) = 3*m(w) + 4*q(w). What is s(k(r))?\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -5\/2*j**2 - 18*j - 20\/3*j**3 - 2 - 1\/4*j**4. What is the tens digit of i(-20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 5*z**3 - 2*z**2 + 1. Suppose 2*v + 2 = -2*c - 2, -4*c = -2*v + 8. Suppose 16 = -4*q, 5*k + v*k - 4*q - 26 = 0. Suppose -7*t - k = -5*t. What is a(t)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (494 - 504) + 16 + 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -8\/35, -0.2, -0.4, 7, 2\/13 in increasing order.\nAnswer: -5, -0.4, -8\/35, -0.2, 2\/13, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 784*b*l**3*w + 5*b*l**3 - 3*b*l**2 + 6*b*l*w - 3*l*w - 5*l - 14 with respect to w.\nAnswer: 784*b*l**3 + 6*b*l - 3*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112122 - -211220200?\nAnswer: 212110022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 89 and 4.6.\nAnswer: 409.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60822 and 10028.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4135 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -922b7?\nAnswer: -922b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 64968, 1\/4, -3\/5 in ascending order.\nAnswer: -3\/5, 1\/4, 64968","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39.18 - -42.8. Let c = 30.38 + z. Is 0.2 >= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -13 - (33 - (-3 - (-6 + 21))).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 60\/(-14) - (-4)\/14. Let i = 7 - c. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 156125835?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -2710 + 913. Let c = l - -1169\/2. Calculate the common denominator of c and -15*6\/(-27)*4.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -8.56. Let i = j + 0.88. Let k = i - 0.34. Which is the biggest value? (a) 3 (b) 1\/5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26.32 + -0.32. Sort 4, -0.4, -4, z in decreasing order.\nAnswer: z, 4, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 0*y = 58. Suppose -43 = -4*d + 17. Calculate the remainder when y is divided by d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17 + 130 - 50)*(v - 3*v + 6*v) to the form f*v + p and give f.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 225c + -29c?\nAnswer: 1c90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k + 2*a, 70*k - 71*k + a = -1 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/15376 and 1\/3968?\nAnswer: 123008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q\/q**2*q)\/q)\/q**(-24) assuming q is positive.\nAnswer: q**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -2. Suppose -n + i*n = 10. Solve -2*s = o - 3, n*o + 15 = -3*s + 6*s for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 2, d: 1, r: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10177741?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -66332 times -0.3971?\nAnswer: 26340.4372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 136759943 to the nearest integer?\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -10450000 rounded to the nearest one hundred thousand?\nAnswer: -10500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + -1)\/(2 + -1). Let a(u) = -4*u + 3. Let z be a(h). Suppose z*b = -0*b + 279. List the prime factors of b.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -34*b + 772. Is 8 a factor of a(-30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - (-52 - -3)) + (-139 - -125)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 30a088 (base 14) in base 13?\nAnswer: 455c33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -12*n + 35 - 10*n + n**2 + 9*n - 4*n. What is i(15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1204 + -807. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/(-4))\/(-9 - (-10035)\/1116). Let p = y - -115. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 0*v**2 + 8 + v**2 to the form i*v + s*v**2 + n and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) 4 (c) -46 (d) -13967\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 704593*o + 4227563. Give m(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8068970 by 5.\nAnswer: -1613794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21117 - -20438. Is -678 less than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (677\/2708)\/((-74)\/8).\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 31, 0, 3 in ascending order.\nAnswer: -1, 0, 3, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -3285, -36, 0, -4 in increasing order.\nAnswer: -3285, -36, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*t - 3662 + 844 + 940 + 943 + 935.\nAnswer: 22*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*k**3 - 13*k**3 + 0 + 1)*(-1 - k + 1).\nAnswer: -k**4 - k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 + (2 + -1 + -2 - (1901 + -1909)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 379638?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2204036*t**5 - 8272*t**2 - 52*t?\nAnswer: -132242160*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of 13*k**5\/60 + k**4\/12 - k**3\/6 - 16*k**2. Calculate z(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h - 4. Let o be w(4). Let d be 0\/8*(1 - o). Let u be 92\/(-69) - 8\/(-6). Solve 3*z + 9 = -2*l - u*z, -l + z + 3 = d for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 AM and 6:29 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 1012*f - 104. Let m be w(2). What is the greatest common divisor of m and 256?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - 8*y**2 + 5*y + 8. Let k be d(5). Let b = 11 - k. List the prime factors of b.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 15 = 3*o - o, 2*o - 5*p + 3 = 0. Suppose -4334277 = o*r + 3007575. Let x = r + -1476358. What is x rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 173?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - (30\/(-40) - 50\/8). Let b = -1 + a. Suppose -65 = -5*c - 5*x, -c + b*x - 5 = -0. Solve -d = d + c for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -2*a**3 - 8874*a**2 - 70878*a - 62006 = 0.\nAnswer: -4429, -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 493481?\nAnswer: 493481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 953*s - 945*s. Sort s, -4, 272 in increasing order.\nAnswer: -4, s, 272","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2009, 33, 3437, 8203, 14331, 21821, 30673?\nAnswer: 40887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 10:01 PM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.5 + -1.5. Let b = 909\/10 - 91. Let u = -7\/30 + b. Sort -1\/12, n, u.\nAnswer: n, u, -1\/12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 604 + 280 = 0. Suppose m - l = -3*n, -4*m + 4*n - 222 = -5*m. List the prime factors of m.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.026 and 13.\nAnswer: 0.338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 - -17.5. Let d be 6\/(-24) - (-9)\/4. Sort d, u, 0.04 in ascending order.\nAnswer: 0.04, u, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + 15*u**2 + 26*u - 9. What is the units digit of v(16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u. Let i be 6\/(-4) + (-10)\/(-4). Let v(q) = i - q - 1 + 0. Calculate 3*f(y) + v(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 699, 2934, 6705, 12012, 18855?\n\"Answer: 768*f**2 - 69*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4801 - 4701. Let s(i) = -i**3 + 8*i**2 - 6*i. Let r be s(4). Calculate the greatest common divisor of r and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 1 = -5*s, 6 = 3*s - 9. Let r = 27556 - 248006\/9. What is the nearest to r in -1, t, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 354647964, 354647965, 354647966, 354647967, 354647968?\nAnswer: 354647969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + 3*s**2 + 3*s + 701. Is q(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - 4175?\nAnswer: -4161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-4\/7))**(-1\/41))**27\/(f**(2\/13)\/(f\/f**(1\/5))*f**(-1\/6)*f**(-1\/2)\/f) assuming f is positive.\nAnswer: f**(150497\/55965)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v + 4*f = 5*v + 4, 3*v = -5*f - 8. Let n be -1 + v + (-49)\/21. Do -1 and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2. Let v(d) = -305*d**2. What is v(n(q))?\nAnswer: -305*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 55693 rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(65) + 1*sqrt(65) + sqrt(65) + sqrt(65)))\/((sqrt(5)*2 + sqrt(5))*-3).\nAnswer: 20*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + b**2 - 2*b - 1. Let c be h(-3). Let d = -10 - c. Suppose -5*a + a + 5*z + 28 = 0, 0 = a - z - 6. What is the highest common factor of a and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2*k - 97 = -249, 5*w + k = 388. Suppose -a + 3*g + 47 = 0, 77 = 5*a + g - w. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**4\/5 - 65457*a**3\/5 + 1471834*a**2\/5 - 418641*a + 686826\/5 = 0. Calculate a.\nAnswer: 1\/2, 1, 21, 32706","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 478 a factor of 1195478?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 137.0967 times -4?\nAnswer: -548.3868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/21, -5, 0.9, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 560474596?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -614 + 7*w**3 - 3*w**3 - w**2 + 194 - 6*w**3 + w**3 in the form k*w**2 + o*w + g*w**3 + l and give l.\nAnswer: -420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 4*h**2 + h + 8. Let i(a) = -a**3 - 3*a**2 - a - 7. Determine 4*i(w) + 3*n(w).\nAnswer: -w**3 - w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 993*l**2 - 871*l**2 - 2569*l**2 + 310*l - 408*l - 29 - 2340*l**2 wrt l?\nAnswer: -9574","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 652 and 20375.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - 13*t - 51. Is l(23) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5 + ((sqrt(1872) - -1*sqrt(1872)) + sqrt(1872))**2) + 5.\nAnswer: -50554","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + 0 - (43 + -29 + -17).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*d**2 - 2*d**2 + d**2 + 6*d**2.\nAnswer: 15*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 + 8*u - 8. Let y be z(6). Let g be 1550\/15 + y\/(-3). Suppose 2*j - 30 = g. What are the prime factors of j?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00266128675 rounded to 4 decimal places?\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32150*y - 32159*y + 64321*y - 8 = -2*h, 3*h - 5*y + 60 = h for h.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**4 - y**3 + 3*y + 1. Let l(z) = -6*z**4 + 72*z**3 + 1088*z**2 + 1003*z - 7. Let w(b) = -5*l(b) - 35*o(b). Let w(p) = 0. Calculate p.\nAnswer: -32, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -170*188\/(-25568)*5\/((-50)\/(-336))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - 1. Let m(g) = 3*g**2 - 2*g - 4. Calculate -m(r) + 5*p(r).\nAnswer: 2*r**2 + 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + 1)*-1*6. Suppose -2*q + 2 = -4*w, -w = -6*q + 3*q - 2. Put 1, w, c in descending order.\nAnswer: 1, w, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 285 = -291, -4*v + 3*b = -6566. Calculate the highest common factor of v and 1681.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 234 and 101322?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9312804 divided by 4.\nAnswer: -2328201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*4\/(-88))\/((-8502)\/3597)?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m + 8. Let b(g) = -g**3 - 13*g**2 + 14*g - 6. Let w be (-2)\/(-4)*2 - 15. Let j be b(w). What is the tens digit of x(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -114 + 1752. Suppose -4*q + 4 = -2*l, 4*l + 5*q + 38 = -35. What is the tens digit of 1\/(-2) + r\/l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - f = -12. Suppose f*n + 20 = 5*c + 4*n, -n + 5 = 0. Let i be 7\/(-13 + -1 - -13). Sort -1, c, i in descending order.\nAnswer: c, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1737157, -1737163, -1737175, -1737193, -1737217?\n\"Answer: -3*d**2 + 3*d - 1737157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 1. Let h be n\/(-5) - (-46)\/10. Let i be 2 - ((-80)\/(-12))\/10. What is the nearest to i in -3, 3, h?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 73.3 - 73.7. Sort -3\/5, -0.33, 3\/2, q in ascending order.\nAnswer: -3\/5, q, -0.33, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -364, -363, -362, -361, -360?\n\"Answer: m - 365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 9}. What is prob of sequence hhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-21)\/147 + (-1)\/(-7). Solve 4*w + 2*r = g, -3*w - 2*r + 3*r + 5 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rt when two letters picked without replacement from {c: 1, t: 1, s: 2, r: 1, x: 2, i: 2}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10776816 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, p: 1, u: 2, b: 3, e: 1}. What is prob of sequence up?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 335*f**2 + 150*f + 1. What is the remainder when m(-2) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 16 = 0, 4*v - 1511 = -5*i + 1. Let l = -211 + v. Suppose 2*c + l = 2*j - 0*j, -j + 69 = -5*c. Is 11 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/6402 and 13\/275286.\nAnswer: 275286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3920 a factor of 178423643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 80 - 36. Suppose 2*n - p = -2*n. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/(m*m*m\/(m*m**8\/m)*m*m)))\/m)**(4\/13)*m**(2\/37)\/(m\/m**9) assuming m is positive.\nAnswer: m**(3282\/481)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 97767 and 51282.\nAnswer: 557076366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 435483?\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9\/10, 1.19, -2\/19, -5, 5?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -15 (b) -1\/3 (c) -3\/2 (d) -0.079 (e) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -3, 2, 7, 12, 17?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 11*p**2 + 9*p + 5. Calculate y(-10).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 2*s = 7, -3*v + 5*s - 5 = 6. Let m(a) = v*a - 5*a - 3 + a. Let u = 0 - -3. Give m(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/30)\/(84\/(-210))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2923377*y**4 + 2217090*y wrt y?\nAnswer: 35080524*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 2.9. Let d = -3.2 + -1.8. Let q be (-4)\/(-21)*6\/4. What is the nearest to b in d, q, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 693 = -11*x + 286. Which is bigger: x or -112\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-4) - 9\/(-4). Let z(j) = -j - 4. Let n be z(-5). Find q such that -3*q**2 + 2*q**4 + b - q**3 - q - n + 2*q**3 = 0.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -23*w - 15. Let l be c(-5). Suppose l = -7*s + 625. Calculate the lowest common multiple of s and 21.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.02 * 23.0276.\nAnswer: -46.515752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 10.4 and -86269294560.\nAnswer: -86269294549.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s + 0*s - 2 - 2*s)*(-4*s**4 - 5*s**4 - 3*s**4) + s**4 - s**4 + s**5 + (2 - 1 + 1)*(-2*s**4 + s**4 - 3*s**4)*(-10*s - 17*s - 3*s).\nAnswer: 217*s**5 + 24*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z - 6. Let s(r) be the second derivative of r**4\/12 + r**3\/6 + r**2\/2 - 2*r. Let f(g) = i(g) + s(g). What are the prime factors of f(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 198 + 133 - x**2 + 150*x + 146*x - 296*x to b + c*x + a*x**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9748 and 4084.\nAnswer: 9952708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/23, 1\/66, 3\/10, -0.06 in descending order.\nAnswer: 3\/10, 1\/66, -1\/23, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (106\/(-1378))\/(10\/26)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2454479, -2, -3, -4, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 770\/63 - 4\/18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide ((-2)\/5)\/((-42)\/(-5502000)*-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 + 5)\/(8\/(-4) + 1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 292974961?\nAnswer: 389, 571, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n - 5. Let u be s(0). Let m(h) = -4*h**2 - 3*h. Let y(d) = -7*d**2 - 7*d + 1. Let f(k) = 5*m(k) - 3*y(k). Calculate f(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 y when four letters picked without replacement from {k: 3, b: 3, e: 2, y: 4, p: 4}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 v when two letters picked without replacement from {i: 1, y: 3, j: 2, a: 3, v: 2, d: 4}.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -4. Solve 3 = -q*d + 7 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38 - -39)\/(-42 + 40).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5948 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-6)*2*-3. Let p(y) = -y + z*y - 3*y. Let r(k) be the third derivative of -k**5\/12 + 2*k**2. Calculate r(p(a)).\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - 5. Suppose 3*l = u*l - 6. Solve 2*w + l + 2 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 4*m + 10. Let t be d(-2). Suppose 3*z = -t*a + 4528975 + 1051015, -5*a = 4*z - 7439975. Round z to the nearest one hundred thousand.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzeezeeeezze. Give prob of sequence eez.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182*v + 551 - 5 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -521*v - 1837 + 12257 for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147 + 138 = -3*o + h, o = 4*h - 19 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 6:33 PM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 3*u + 35 = 0, -3*v = 2*v + 2*u - 15. Let w be v\/(-25) - 31\/(-5). Does 4 divide (w\/(-4))\/((-18)\/48)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10\/21 + 8\/105. Calculate the common denominator of -9\/4 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4, 38, 150, 382, 776, 1374, 2218?\n\"Answer: 7*s**3 - 3*s**2 - 6*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -393 + 395.23. What is n rounded to one decimal place?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -2, -1, -4 in ascending order.\nAnswer: -10, -4, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4937 = -3*m + 2*d - 7*d, 4*m = 4*d + 6636. List the prime factors of m.\nAnswer: 2, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - -8. Suppose 15*k = 7*k + g*k. Solve 2 = 3*s - 3*t + 5*t, k = s - 2*t - 6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rz when two letters picked without replacement from mozrrm?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v - 76, 4*z = 2*z - 23*v - 10*v + 30*v + 65 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is ca49e6 - -2?\nAnswer: ca49e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yryyrr. What is prob of sequence yyy?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbb when three letters picked without replacement from {f: 3, b: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/21)\/t**(-1))\/(((t**(-1)*t*t)\/t)\/t)**(-39) assuming t is positive.\nAnswer: t**(-800\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 339673710?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 757769 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-4)\/q)**8)**16*q**(-1)\/(q\/((q*q**(5\/2)*q*q)\/q*q*q))*q**(2\/3)\/(q**(2\/7)*q) assuming q is positive.\nAnswer: q**(-26717\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -11, 2, 2\/17, -2\/17, 8?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j = 26*j + 191 + 97 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 5 - 165*c**2 + 10 + 171*c**2 - 64*c**3 as u*c + t + d*c**2 + w*c**3 and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 2*h**2 + 2*h. Let d(y) = y**2 + 9*y + 3. Let t be d(-9). Calculate o(t).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a kilometer in meters?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 106356772?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 p when three letters picked without replacement from {p: 8, a: 7, f: 5}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -194*h - 7. Let x be q(-2). Let l = x + -220. Suppose -j + l = b, 2*b = 4*j - b - 672. What are the prime factors of j?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9652 is divided by 2413?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17911 = 2*l + 5*h, 0*h + 2*h + 6 = 0. Let s be l\/(-39) - 2\/6. Let p = s + 58631\/260. Calculate the common denominator of -29\/16 and p.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -214850, -214720, -214504, -214202, -213814, -213340, -212780?\nAnswer: -212134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 285*y + 9021. Is p(13) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 192025.\nAnswer: 384050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*s**4 - 2964*s**3 - 123172*s**2 - 348828*s - 228616 = 0. What is s?\nAnswer: -697, -41, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1893 - 3*u - 453 - 572 - 496 to the form d*u + w and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6 and -21.67.\nAnswer: 130.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zyzzfufz. Give prob of picking 2 f.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11478?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/3 (b) 2\/9 (c) -79 (d) 151\/5 (e) -4 (f) -0.9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i + 19. Let g be u(6). Find the third derivative of -g*h**6 - h**5 - 4*h**2 - h**2 + h**5 wrt h.\nAnswer: -840*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2642 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + w**2 - w. Let a be y(0). Suppose 0 = -a*o + o. Suppose -2*s + 2 + 8 = o. Solve 4*n - s = -m, -8*m + 4*m + 20 = -n for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -159588234083 and -0.07?\nAnswer: 159588234082.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/2 + 10 + 0. Suppose -3*k - 6839 = -a*k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170*v + 167*v + 17 = 2*p, 0 = -v - p + 7 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of 11*b - 11 - 1\/3*b**3 + 3\/2*b**2. What is the tens digit of w(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/3 + (-7)\/(-15). Sort 3, o, 0 in descending order.\nAnswer: 3, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 46\/(-6) - (48\/(-9))\/8. Let b(t) = 8*t**2 + 3*t - 14. What is the units digit of b(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4652 (base 9) in base 14?\nAnswer: 1385","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 250 = 3*g. Let k = 181 + g. Let o(r) = 2*r**2 + 71*r + 325. Calculate the remainder when k is divided by o(-31).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2096 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooq. What is prob of picking 3 o?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 40*(119\/4 + -23). Let x(f) = 3*f**3 + f**2 + f + 7. Let u be x(5). Let r = u - w. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4006316 to the nearest integer?\nAnswer: 2002","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 - 18*4\/(-8). Suppose 9*c + s*c = 1386. List the prime factors of c.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714474 divided by -26462?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -14*r - 3. Let f(g) = -41*g - 9. Let z(n) = -2*n - 28. Let w be z(-12). Let u(y) = w*f(y) + 11*t(y). Let c(x) = 2*x**2. Determine u(c(p)).\nAnswer: 20*p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) - (3 + sqrt(128))*1 - (sqrt(128) - (sqrt(128)*-2 - sqrt(128)))*-4)**2.\nAnswer: -768*sqrt(2) + 32777","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1449222, -1449229, -1449236?\nAnswer: -1449243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-120)\/150*(-5)\/(-2). Which is bigger: b or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 9:12 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4414)\/126 - ((-1341088)\/14112 - -95)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 times -217?\nAnswer: 8.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 570*y. Let a(d) = -4*d**2 - d + 1. Let u(b) = 3*b**2 + b - 1. Let c(j) = -a(j) - u(j). Determine o(c(l)).\nAnswer: 570*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 122 + -101. Suppose 2 = k*i + 2. Which is the nearest to 0.07? (a) -2\/19 (b) i (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -8, -12, -18, -26?\n\"Answer: -d**2 - d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 183*l**2 - 78509*l + 880. Calculate r(429).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 11:16 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5*p = -8, 5*c + 4*p = 2*p + 28. Solve -c*l + 2*w - 9 - 1 = 0, -2*w = l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 1. Let q(r) = r**2 + r - 2. Let j be q(t). Let v(x) = -2 + j + 3*x - 1. Determine v(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 46\/35?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 + -11. Let t(x) = 7*x**2 - 18 - x**3 - 6*x + 9 - 7 + 9 + 8 - x. Calculate t(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 2*s = -48, 3*w - s = s + 16. Let d(u) = -3*u - u + 4*u**2 + 7 - 3*u. Let l be d(5). What is the greatest common factor of w and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.069500727 - -0.0695. What is v rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/69662 and -89\/4568.\nAnswer: 278648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**3 + 22600*t**2 + 31990192*t + 191128416.\nAnswer: 4*(t + 6)*(t + 2822)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) - (1 + sqrt(128))*6) + -5 + -6*(sqrt(4)\/sqrt(2))**2.\nAnswer: -40*sqrt(2) - 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52*r + 95*r + 3*r - 52*r + 193 to v*r + j and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from vynnnvn?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -177.754020792 - 3.946058108. Let o = -181.7 - u. Round o to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6860, 7068, 7276?\nAnswer: 7484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1070700?\nAnswer: 2, 3, 5, 43, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -6) + -4 + -2 + -2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 246*(-2 - (7 - 31)\/8). What is the highest common divisor of i and 1189?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -31.53294814 to zero decimal places.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -206 divided by 758.\nAnswer: -103\/379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 0. Suppose -28 = 11*j - z*j. Is 34 a factor of j*(-4 + (-15 - -2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 33 = -2*o, 33687*o = 33683*o - 12*b - 80 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 21, 225, -3, 18 in decreasing order.\nAnswer: 225, 21, 18, 7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of f**6\/780 + f**5\/390 - f**4\/156 - f**3\/39 + 2*f**2. Let b(i) = 0. Calculate i.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 6*u**2 - 3*u + 2. Let v be s(1). Let c(l) = -16*l + 0*l - l**3 + 10*l**2 + 2*l + v + 5*l. Calculate c(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6734 divided by -5.\nAnswer: -6734\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/356 and -5\/7272.\nAnswer: 647208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - (-36 + (10 - 3) + 5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of 32*t - 1\/2*t**4 + 0*t**2 - 63\/5*t**5 + 15 + 0*t**3. Differentiate n(i) wrt i.\nAnswer: -252*i**3 - 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 + 27. Calculate the highest common divisor of 143 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -69 - -16020 - 6*(-4)\/(-24) a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r - 23 + 158 = 0. Calculate the remainder when 69 is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b = 5*b + 56. Let u(g) = 12*g**2 - g. Let a be u(-1). Let m = b - a. Let v(f) = -f**3 - 6*f**2 - 6*f - 4. What is v(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47\/49 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x**2 - 18*x - 43. What is the hundreds digit of l(30)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + 0)*36\/(-8). Calculate the common denominator of (v\/25)\/((-4)\/(-5)) and -9\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 4*n**2 - 50. Calculate the lowest common multiple of m(4) and 112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121745467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 868 from 0.7.\nAnswer: -867.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 7*t - 1. What is p(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29 + -31. Let t be (0 - 12\/2)\/f. Solve -15 = -t*b + u, 2 + 1 = -u for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a microgram in nanograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*r**4 + 3*r**4 + 2*r**4)*(-2*r - 2*r + 2*r) - 2*r**5 + r**5 - 2*r**5 + (2*r + 3 - 3)*(r**4 + 5*r**4 + 0*r**4) + (-3*r**3 + r**5 + 3*r**3)*(1 + 4 - 4).\nAnswer: 12*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 r when two letters picked without replacement from ksxcxzkrs?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-2\/19))\/((c*c**(6\/5))\/c*c)*((c*c**(-3))\/c*c*c)\/c**8 assuming c is positive.\nAnswer: c**(-959\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of d**8\/336 + 418*d**7\/105 - d**4\/24 - 518*d**3\/3 - 1149*d**2. What is the second derivative of r(o) wrt o?\nAnswer: 20*o**3 + 10032*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10.8 - -10. Let q = d + 1. Which is the closest to -1\/5? (a) 0.4 (b) q (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 2775*t - 2776*t - 17 = 0, 2*t = y - 46 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - -2)\/((-248)\/(-10)). Let y = -2100396\/31 + 67769. Let b = y - f. Find the common denominator of 89\/18 and b.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 20*d**2 - 10*d**2 + 0*d**2)*(0*d - d**3 + 0*d).\nAnswer: -10*d**5 + d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110001 + -1110100001100101111?\nAnswer: -1110100001101100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 13877.\nAnswer: -4\/13877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*b = -82*v + 86*v + 6568, b = v + 36 - 27 - 83 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -105 + 113. Solve f = -5*v + z, 3*v = 5*f - 1 - 11 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 4*l**3 + 6*l**2 + 8*l - 12. Is 46 a factor of m(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -560*m**2 + 41*m**2 + 15*m**2.\nAnswer: -504*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-18)\/(-4) - (-14)\/28. Suppose -28 = f*s + 12. Sort 2, -1, s in ascending order.\nAnswer: s, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 33 = -48*u + 45*u, 4*a - 1 = -5*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (4\/(-5))\/(12\/(-930))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + f**2 - 7 - 2*f**2 + 2*f**2 in the form s*f**2 + x*f + t and give t.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03867697698 to 5 dps.\nAnswer: -0.03868","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of 63*v**2 + 0*v - 1\/3*v**3 + 0 - 5\/8*v**4. What is k(-2)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -4*o - 4, 5*h = 4*o + o + 15. Let y be (2 + (-80)\/25)\/(2\/30). Let r be (3\/(-6))\/((-3)\/y). Put r, o, -1 in descending order.\nAnswer: o, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/79 in 1\/3, -5, -0.3, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5706, -5707, -5708?\nAnswer: -5709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h + 6. Let g(j) = j - 43. Give g(r) + 3*o(r).\nAnswer: -2*r - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 3:52 PM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m - 8. Let z be r(4). Let k be (-21)\/z + 2\/(-8). What is the highest common divisor of k and 30?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.295907918 and 0.016?\nAnswer: 0.311907918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*l**2\/7 - 2021080*l\/7 + 2887200 = 0. What is l?\nAnswer: 10, 505260","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24 is divided by 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of q**3\/6 - q**2\/2 + 113*q. What is u(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iitt when four letters picked without replacement from {i: 4, t: 3, f: 5}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(228)*-2)\/(sqrt(12) - (sqrt(12) - (-3*sqrt(972) - sqrt(972)))).\nAnswer: -2*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 444107887.\nAnswer: 107, 1531, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-360)\/2520*98\/6.\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0.2, -2, -3\/32 in increasing order.\nAnswer: -2, -0.2, -3\/32, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 903 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*b + 4. Let z = -55 - -93. Let f be z*1\/(-1 + 3). Solve b*d + q = -d - f, -3*d - q - 11 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3\/5 (b) 0.07 (c) 0.7 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) -3.87 (b) 0.1 (c) -0.3 (d) -2 (e) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a**4 + 9176*a**3 - 5150496*a**2 - 129186776*a + 134328100 = 0 for a.\nAnswer: -25, 1, 1159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4609, 9228, 13851, 18478, 23109?\nAnswer: 27744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -658*p - 3785. Give x(-6).\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 3*r + 832 + 242, -2*r - 2148 = -4*q. What are the prime factors of q?\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 24 = -2*w + 318, 5*d - 570 = 3*w. Calculate the highest common divisor of 102 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -11*j + 92. Let v be j\/15 + (-1725004)\/5. Round v to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 4*a - 1013, 0*a - 3*a + 798 = 4*n. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -29, -37, -59, -101, -169?\n\"Answer: -w**3 - w**2 + 2*w - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -0*h - 8. Let g(t) = 2 - t**2 + 2 + 0 + h*t - 2*t. Let o(p) = -5 + 2*p**2 - p**2 + 0*p - 3*p. Give 5*g(q) + 4*o(q).\nAnswer: -q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 + 0.2. Let k = -6.4 - -1.4. Let p = f + k. Which is the smallest value? (a) -0.2 (b) 1 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 AM and 1:06 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus 464.3666757?\nAnswer: -464.1666757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 185*f**2 - 8*f + 10. What is the tens digit of h(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-6))\/(2*52\/156)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-44*u + 23*u - 27*u)*(-40 + 23 - 9) in the form p + v*u and give v.\nAnswer: 1248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10108132.\nAnswer: 2, 17, 23, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152067382.\nAnswer: 2, 2351, 32341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 3*p + p. What is the highest common factor of p and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-1 - 3) - ((32 - (-26 - -46)) + -67)\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 5*a + t, 3*a + 7 = 4*t - 0*t. Let q(y) = -y**3 - 4*y**2 + 5*y + 2. Let h be q(a). Is 6*(h\/4)\/1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -112.8 + 99. Let q = o - -21.8. Let j = q + -7.9999984. Round j to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98598.49 centuries in decades?\nAnswer: 985984.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2534392*v**4 - 1057*v**2 + 22*v - 3 wrt v.\nAnswer: 60825408*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -37 + 3 - -19 - (-9 + 1) - -10\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -7*n + 5*n + 17, 0 = -3*n - 4*l + 22. Let k(f) = -3*f + 5. Calculate k(n).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -671*i + 24. Is u(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13 - 2a8?\nAnswer: -310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18*-4*((-8756)\/4776)\/((-11)\/2).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v**2 - 17*v + 31. Let t be b(-9). What is the units digit of 9756\/t + (-234)\/(-429)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2247220 to the power of 1\/2, to the nearest integer?\nAnswer: 1499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 177770 smaller than 177576?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3950 + -3944. Calculate the highest common divisor of t and 1542.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-747)\/(-81) - (-2)\/(-9). Let j be (-3)\/(38\/(-95)*(-5)\/(-4)). Let x(q) = -3 - 12*q - j + i. Let w(t) = 4*t**2. Determine w(x(a)).\nAnswer: 576*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2826 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 960801758.\nAnswer: 2, 7, 68628697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -111*h**2*p + 216*h**2 + 87*h*p - 259*h wrt h?\nAnswer: -222*p + 432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 + 29. Calculate the remainder when 18 is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 36 = 3*c, -2*t + 7668 - 7639 = 3*c for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*n + 12*n + 0 - 1.\nAnswer: 29*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.08871*0.116\nAnswer: 0.01029036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 6 + (-1 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2961, -15 in increasing order.\nAnswer: -15, 4, 2961","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((x + 2*x - 5*x)*(5 - 1 - 2) - 3*x + 2*x + 2*x - 18*x - 185*x - 24*x)*(-x - x + 4*x + (3 + 0 - 5)*(-x + 0*x + 3*x) + 5*x - 9 + 9).\nAnswer: -690*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*k - 9*k + 2*j + 16, 0 = -5*k - 2*j - 18. Sort k, 7, 269 in descending order.\nAnswer: 269, 7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/17 (b) -2\/3 (c) -566068 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + b - 9 = 6, 4 = -2*y + 4*b. Suppose -y*f + 2*x + 93 = -3*x, -3*x = -2*f + 49. Does 5 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 4) to base 10\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, 0.07, 4, -5, -2 in decreasing order.\nAnswer: 4, 0.07, -2\/13, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.058 - 0.358. Let q = -0.1 - -0.1. Which is the second biggest value? (a) q (b) 0.5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6781751 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/4, -153, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1265753 (base 11) to base 2\nAnswer: -1000010110011100001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-2)*44)\/((-5)\/30). Let d = -260 + p. Determine k, given that 0*k**2 + 0*k + 4\/5*k**5 + 0*k**d - 4\/5*k**3 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34683877 is divided by 616.\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 261885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7.68012 and 0.3?\nAnswer: 2.304036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 66434390 to the nearest integer?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 4*b**2 - 25*b**3 - 35*b - 27*b - 5*b**2 + 22*b**3 - b**2 as p*b + t*b**3 + j + k*b**2 and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 682516\/272 - ((-18)\/24)\/1. What is the highest common divisor of 2259 and p?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 160 and 36640?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3*m - 5 = 0, 4*m + 3975 = 5*z. Does 83 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*m = 1902 - 440. Let h be (2 - -1)\/(87 - m). Factor 4\/5*f**4 - 1\/5*f**5 + 0*f - 3\/5*f**h + 0 + 0*f**2.\nAnswer: -f**3*(f - 3)*(f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 87*u + 52. Let q be (-216)\/(-60) - 4\/(-10). What is the hundreds digit of a(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13069615?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.005439 + -13.2.\nAnswer: -13.194561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**2 - 2*c**2 - 3*c**2 + (-5*c + 10*c - 4 - 27*c)*(2*c - 2*c - c) + (1 - 1 - c)*(-2*c + 3*c - 2*c).\nAnswer: 18*c**2 + 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 8:17 PM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hujes. Give prob of sequence us.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 2:58 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r**2 - 5*r + 17. Let n be q(8). Let s = n + -90. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22022100201111 (base 3) to base 7\nAnswer: -52351603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 894912 divided by 5\nAnswer: 894912\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 90785736?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3652220 divided by -5?\nAnswer: 730444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - (5 - 2) - 3) + -7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4620425 + -0.0096257\nAnswer: -4620425.0096257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 + 30 - (-7 + 1 + 2 - 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -681, -1369, -2071, -2793, -3541, -4321, -5139?\nAnswer: -6001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r**3 - 15*r**2 + 5*r - 18. Give g(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 1001100010001?\nAnswer: -1001100001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 195 and 153?\nAnswer: 9945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11240*v**5 - 22574*v**2?\nAnswer: 674400*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (12 - (-8 - (-16 - 3)))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-56)\/10*1210\/(-847))\/(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1030, -4484, -10252, -18334, -28730?\nAnswer: -41440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/2548 and -135\/52052.\nAnswer: 364364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + w - 4 = 0, 5 = 4*i + 5*w - 9. Suppose -4*s + 4 = 5*m - m, 0 = -m - 2*s - i. Suppose m*t = 3*j - 75, j - 23 = -0*j + 2*t. Is 11 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22484 a multiple of 146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6093797 divided by -3.\nAnswer: -6093797\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + o = -3*c - 6, c = -o + 2. Suppose z - 5*r - 88 = 0, -c*r = -3*z - 6*r + 245. Suppose 5*t - 46 - 1 = -2*s, -3*s = -5*t - z. Is s a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 0.079?\nAnswer: 0.0237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 + 435802.\nAnswer: 435801.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/122, 4, 35, -40?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 336 - -44. What is the highest common factor of 40 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -4\/97, 1\/10, -0.4 in ascending order.\nAnswer: -0.4, -4\/97, 1\/10, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 630 and 1134?\nAnswer: 5670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 795998 is divided by 376.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -5177025 greater than or equal to -25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 48838401769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/20)\/((-4)\/16).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 2525\/240991?\nAnswer: 2525\/240991","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 321440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 5 (b) -0.5 (c) 29371 (d) 4\/9 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(6 - -3)*-1. Suppose -h = -2*x + 1. Which is the smallest value? (a) 0.4 (b) x (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 753214 to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -3*m - v + 16, 0 = -4*m - 3*v + 12. Solve m*u = -u - 5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/17 - 2266*k\/17 + 181200\/17.\nAnswer: -2*(k - 75)*(k + 1208)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6222*x - 23467 - 155452 = 256621 for x.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 13872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f**2 + 2*f - 2. Let r(k) = -10*k - 12. Suppose -5*x + 30 = -5*n, -3*n + 4*x + x - 28 = 0. Let b be r(n). What is v(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00012490341 rounded to six dps?\nAnswer: -0.000125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -183 by -123.\nAnswer: 61\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -70*b - 354. What is g(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 51, 96, 141, 186, 231?\n\"Answer: 45*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -17*y + 10*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(224) + sqrt(224)*1)*-2 - sqrt(224))*5)\/(sqrt(288) + (sqrt(288) - (sqrt(288) - ((sqrt(288) + -1*sqrt(288))*-5 + sqrt(288))))).\nAnswer: -25*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*s**2 + 17*s**2 - 27*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-84) - (2\/44 - -8255*10\/(-616))?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 - 2*b**2 - b**2)*(2 + 4*b - 3*b - 3).\nAnswer: -b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 - 17 + 1119*s + 4928*s + 59 - 12)*(-3*s + 3*s + 2*s**2).\nAnswer: 12094*s**3 + 16*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8016 - 3961. Let a = n - 2241. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 67527.\nAnswer: -1\/22509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1698, -3409, -5136, -6879, -8638?\nAnswer: -10413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -53 - -7?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from thttthhthhttt. What is prob of sequence thhh?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 f when four letters picked without replacement from fbmcyysbbycfcbc.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1456? (a) -3 (b) -4 (c) -0.2 (d) -0.11 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 968 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15970331?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 3 + 2)*(-3*b**2 - b**2 - b**2) + (b - 2*b - b)*(0 + 2*b + 0))*(-1 + 2 + 2).\nAnswer: -27*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 1. What is the least common multiple of 2 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2bd3b0 (base 14) to base 15.\nAnswer: -204a93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 692 = 4*f - 5*x, 0 = 2*f + x - 340. Let g = f - 69. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*o**3 + 19*o**3 + 34*o**3 - 49*o**3.\nAnswer: 30*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5*u - 9 = 3*k, -u = 3*k - 6. Suppose w = -5*y - 0 + 5, 0 = -y + u*w - 15. Let z be 10\/(-3)*3\/(-8). Is y > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2)*t*t)\/t)**(-45)*t**(6\/5)\/(t*t**(-4)*t) assuming t is positive.\nAnswer: t**(241\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6482633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47, -180, -409, -740, -1179, -1732?\nAnswer: -2405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 92*a**2*v**3 + 125*a**2*v**2 + 1850*a*v**3 + 2*a*v**2 - 3*a*v + v**3 - 4*v wrt a.\nAnswer: 184*v**3 + 250*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2623*j - 1520*j + 37630 = -328*j - 351500 for j.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1385615.\nAnswer: 5, 7, 11, 59, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*y**2 - 24*y**2 + 2*y**2 + 8*y**2 + 2*y**2.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 34 - 25 = 0. Calculate the smallest common multiple of 4 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12*3\/(-42))\/(12\/(-84))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00073084648 to six dps.\nAnswer: 0.000731","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -38003 > -38001?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -6*b + 7. Let z be a(5). Let r = z - -8. Let q be (-2 + 1)\/(1\/r). Solve -p - 2*p - q = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-4*-6*-3*(-3 + sqrt(931)*-3 - sqrt(931)))**2.\nAnswer: -154535040 - 1741824*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-37)\/(-7) - 16\/56. What is the nearest to -2 in 4\/3, l, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 129524, 259029, 388532, 518033, 647532, 777029?\nAnswer: 906524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (281 + 127*j - 38*j - 283)*(-31 + 13 - 18)*(2 - 4 + 4) to f*j + c and give c.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 + -2643340707791.\nAnswer: -2643340707787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 22572 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u + 36. Let w(v) = 3*v - 54. Give 8*b(p) + 5*w(p).\nAnswer: -p + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -40.791 rounded to one dp?\nAnswer: -40.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -456, -450, -444, -438, -432?\nAnswer: -426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 + -13. Suppose 8 = -4*n, c - 2*n - n = 30. Let l = c - z. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z + 21. Let t be h(-9). Suppose b = -t*b + 16. Solve 4*w = -b*y + 4, 6 - 4 = -w + 2*y for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14\/10 - 126\/(-210). Solve -2*t + 2 = -2*z, 11*t + 7 = q*z + 6*t for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a\/(a\/(a*a\/(a**(1\/22)*a))))\/a))\/a*(a**16\/a)\/a)\/(a**13*a\/((a*a**1)\/a)) assuming a is positive.\nAnswer: a**(23\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 5) in base 13?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) -1\/3 (c) 1\/10 (d) 448 (e) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 49 - -19. Suppose -k + 9 = -j + 2*k, 0 = 2*j + k - 3. Suppose 0 = -2*d - j*d + x. List the prime factors of d.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 divided by -35?\nAnswer: -472\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/4)\/((-714)\/136)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(32)\/sqrt(64))\/((sqrt(4) - -4*1*sqrt(4)) + sqrt(4)))**2.\nAnswer: 1\/288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 0 + 1 - (-85 + 78 - 7).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of -3*z**5\/10 + 63*z**4\/8 - 27*z**3 + 783. Factor d(m).\nAnswer: -3*m**2*(m - 18)*(m - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5*z = -49, -2*c + 3*z + 39 = -c. What is the greatest common factor of c and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44574 and 13566?\nAnswer: 312018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 2, 6*m - 2*m = 2*a + 12. Suppose -4*b - 1152 = -2*k - 8*b, m*b + 4 = 0. Does 10 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/4131 and -163\/3564.\nAnswer: 181764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 42 * -4.03\nAnswer: -169.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -3 + 9 + -9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (27*(-1)\/(-10))\/(471\/785)\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 10 (c) -4 (d) 4 (e) 1124\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of q**4*v - 392*q*v + 711*v wrt q?\nAnswer: 4*q**3*v - 392*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -l + 18, 5*d - 4*l = d + 56. Suppose 6*q = 5*q + 3*b + 18, 0 = q - 2*b - d. Sort q, -2, 3.\nAnswer: -2, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 389, 722, 1005, 1238, 1421, 1554, 1637?\n\"Answer: -25*n**2 + 408*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is q in q**2\/11 - 2682474*q\/11 + 1798916690169\/11 = 0?\nAnswer: 1341237","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(0 - (-2 + 1)). Let d be (-6)\/(-3)*(s - -1). Find the first derivative of 0*p**2 + 6 - 5 - p**d wrt p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - 7*f**2 - f + 10. Let y be i(7). Find the second derivative of -5*q + 2*q**3 + 4*q**y + 4*q wrt q.\nAnswer: 36*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35234 - -42473. What is the highest common factor of 57 and x?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3954*s - 5317*s = -6331 + 117583 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -4 - 2 - 2*q + q. Let j(n) = -4*n**3 + 2*n**2 + 7*n + 12. Let a be j(-5). Let x = a + -527. What is d(x)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 9:58 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -16, -21688, 4 in descending order.\nAnswer: 4, -2, -16, -21688","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*r - 88*r - 15 = 5*o, -135 = -5*o + 32*r for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of h**6\/120 + 2*h**5\/15 + 3*h**4\/8 + 4*h**3\/3 + 3*h**2. Let w be g(-8). Let x = -44 - w. Is 5 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(209) + sqrt(209)*1*4 - (sqrt(209) - sqrt(209)*-2*3)))\/(2*sqrt(539) + sqrt(11) + (3*sqrt(539) - sqrt(11))).\nAnswer: -4*sqrt(19)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one tenth of a milligram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 5) + 8 + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - ((-3 - 1) + -2)) + -100 + 222 + -144\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1540 - 587. What is g rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*u - 20*u + 4 = 0. Solve -4 = i + u*j - 1, i = 2*j - 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (-3 + (sqrt(50))**2 + sqrt(2))) + sqrt(1800).\nAnswer: -47 + 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 5*z - p - 16, -4*p + 18 = 3*z. Let s(m) = -m - 9. Let a be s(17). Let w be 950\/(-247) + 4\/a. Put 4, 3, w, z in increasing order.\nAnswer: w, z, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 658120 is divided by 110.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277 is divided by 56.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 195.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - c**2 + c + 4. Let p be z(0). Determine f so that 12*f + 27*f**p - 43*f**4 + 18*f**4 + 12*f**3 + 22*f**2 = 0.\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1)\/(-5) + (-4229)\/(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 569681 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -25*z + 32. Solve z*o + o - 15 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 4*j**2 + 4*j - 5. Suppose -5*o = -o - 20. Let p(s) = -2*s**3 - 9*s**2 - 7*s + 9. Let u(f) = o*x(f) + 3*p(f). Is 4 a factor of u(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 379997, 759986, 1139975, 1519964, 1899953, 2279942?\n\"Answer: 379989*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 481161 is divided by 481134.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/3*(-236)\/8 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 - -18. Suppose -947 - 187 = -o*x. What is the hundreds digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34 + 19. What are the prime factors of (x - -12) + 18 + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a century?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 12*w - 6)*(4*w - w + 2*w) + (-2*w + 3*w - 2*w)*(-w + 0*w + 2*w).\nAnswer: -61*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -79\/5 - -16. Let x = 994 + 450. Let r = -1441 + x. Which is the closest to 3? (a) r (b) -2\/13 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -428, -429, -430?\n\"Answer: -k - 427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*v**3 - 2*v**2 + 20*v**3 - 10*v**3.\nAnswer: 26*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.04 + -2.04. Let x = l + -1. Let b = -5.3 + 5. What is the second smallest value in b, -5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z**2 + 8*z - 2. Let w be 1\/(-2) - 34\/(-4). Let m(b) = -b**2 - 3*b + 1. Let k be (-1)\/(3 - (-30)\/(-99)*11). Calculate k*n(q) + w*m(q).\nAnswer: q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 300636 and 5756.\nAnswer: 432615204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 8*l + 11. Suppose 5*j + 25 = 65. Let d be r(j). Suppose -2*q = 6, -3*a + 0*q - 2*q + d = 0. Calculate the remainder when a is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223 is divided by 125.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-6 - -1 - (35 + -39))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38 + -38.39. Let o = b + 0.69. What is the closest to o in -5, 1\/6, 9?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.5, 0.5, -83?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of -h**6\/5 + 7*h**4\/12 - 6*h. Find the third derivative of a(k) wrt k.\nAnswer: -144*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5096 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of a**3\/3 - 3*a**2 - 6*a + 1. Let o(d) = -1 + 2 + d + 1 - 1. Suppose 4 = h + 3. Calculate h*y(g) + 6*o(g).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 499, 334, 37, -410, -1025, -1826, -2831?\n\"Answer: -3*s**3 - 48*s**2 + 550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 26? (a) -3 (b) 1.28 (c) 13 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 973932?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 226.01, -1628, 4\/7, -0.4?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3489 + 3564. Put b, -3, -2, 1 in ascending order.\nAnswer: -3, -2, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005720546639 to 5 decimal places.\nAnswer: 0.00057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -4 (b) 0.02 (c) -11 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 100*d. Let k be m(-1). Let r = k + 160. Suppose 0 = -2*c + 4*c - r. Does 15 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 2*d = 618, 5*d = -g + 47 + 72. Calculate the remainder when g is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 3.3 (b) -2 (c) -0.74 (d) 0.3 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 40596973 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 66559+0.04\nAnswer: 66559.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8076.933 - -8069. Round b to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (3 - 0) + -10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f9e3e41 + 2?\nAnswer: -f9e3e3f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13*c**2 + 192182*c*i + 2843990*i wrt c.\nAnswer: -26*c + 192182*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 3*y - 119, -7*a = -5*y - 498 + 76. Is a less than -287?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 17.63 (b) -0.3 (c) -1 (d) -3\/7 (e) -3 (f) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-25)*-5)\/(18\/11160*31)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -69 - -93. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.3 + -2.8. Let x(l) = l**3 - 2*l**2 + 2*l - 1. Let j be x(1). Which is bigger: j or v?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, o: 1, m: 4, a: 3, s: 3, g: 3}. What is prob of sequence as?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*-72*44\/(-7392)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bybybybbyysyyyxy. What is prob of sequence sx?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - 23*b**2 + 25*b + 24. Let j be n(-24). Suppose 4*k = 4*c - 4, -3*c - 18 = 4*k - j*c. List the prime factors of k\/(6\/(-8)) - -21.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/18 - 5\/((-30)\/4)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26036 (base 7) to base 3.\nAnswer: 100110002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, l: 1, p: 3, a: 1, b: 7}. Give prob of picking 1 l and 2 b.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31 + 34 - 5)*(-9*t**3 + 7*t**3 + 4*t**3)*(5*t + t**2 + 3*t**2 - 3*t).\nAnswer: 480*t**5 + 240*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + r - 9, 4*k = k + 4*r + 21. Let u be (k + 3)*2\/3. Suppose -10 = -3*g - u. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16495 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - -2 - (142 + -156)) + 43 - -13.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 26*x + 240. Give m(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 - 16*a + 41. Let u be d(3). Find the third derivative of -2 - 17*z**3 + 0*z - 67*z**3 + z - 2*z**5 - 31*z**2 + u wrt z.\nAnswer: -120*z**2 - 504","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 11*s**3 + 5520*s**2 - 989*s + 7532. Give f(-502).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 10011793?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2\/47, 21\/26 in increasing order.\nAnswer: 2\/47, 21\/26, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7855 - 4285. What is the thousands digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -8\/5 + 12\/5*i - 4\/5*i**2 = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 828\nAnswer: -4140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1090458 + -571558. What is t rounded to the nearest 10000?\nAnswer: 520000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.26582 to 2 decimal places.\nAnswer: -1.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 407, 0.5, -4, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 l, and 2 y when four letters picked without replacement from {g: 2, w: 3, m: 2, l: 4, y: 2}?\nAnswer: 8\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-3*sqrt(200) + 2 - (sqrt(1152) + (-6*sqrt(72))**2)).\nAnswer: -2589 - 54*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.15 + 0.05. Suppose 0*l + 3 = 3*l. Suppose 24 + l = -5*f. Which is the closest to m? (a) f (b) -2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -47421 or -2513235\/53?\nAnswer: -2513235\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(72)\/sqrt(6) + (sqrt(108)\/sqrt(3))\/sqrt(12).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, z: 10, n: 4}. Give prob of picking 1 n, 1 z, and 1 v.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -6*w**2 - 4*w - 16. Let q(l) = -2*l**2 + 3*l - 1. Let v(j) = h(j) - 4*q(j). Determine v(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -x**5\/15 - x**3\/6 - 3*x**2\/2 - 4. Let s(l) be the second derivative of v(l). What is the first derivative of s(o) wrt o?\nAnswer: -8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 12, 0.4, 9, -0.27, 3\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 421*b**2 + 3*b - 1. Let x be w(2). Differentiate -35 - 1692*s**2 + s**4 + 5*s - 5*s + x*s**2 with respect to s.\nAnswer: 4*s**3 - 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 4*d**3 - 27*d**2 - 14*d + 8. Calculate i(7).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 14. Suppose -p = d*p. Let i(j) = -j - 1. Determine i(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 25\/39?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -8*j**2 + 2432*j - 441800. Let x(m) = -7*m**2 + 2340*m - 441800. Let f(n) = 5*b(n) - 6*x(n). Factor f(v).\nAnswer: 2*(v - 470)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -520*z**3 + z**2 + 2*z + 2. Is o(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 - 3*q**2 + 2. Let a be b(-2). Let h = a - -6. Solve 0 = 5*i - h + 29 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -d + 8, -d = -4*d + 2*j. Suppose 0 = -m + 6*m - 25. Solve 3*c - 2*r = -1, m*c - 3 + d = 4*r for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 157 and 3140.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2081, -2086, -2093, -2102, -2113, -2126?\nAnswer: -2141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z = -0*z - 24 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of -p**4\/3 + 201*p**3\/2 + 1855*p**2 + 12*p - 8. Differentiate m(q) wrt q.\nAnswer: -8*q + 603","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-14) - (873\/63 + -14). Let j(h) = h**2 - 5*h + 5. Let d be j(5). Solve y = d*l + 24 - 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find i such that 2*i**5\/3 + 472*i**4\/3 - 7972*i**3\/3 + 7824*i**2 + 24246*i + 13608 = 0.\nAnswer: -252, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2 - 18531026*b - 37062044.\nAnswer: -2*(b + 2)*(b + 9265511)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*n + 4 + 2 = 3*y, -2335*n + 2333*n = -3*y - 10 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 5:16 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -706, -2512, -5522, -9736, -15154?\n\"Answer: -602*f**2 - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4333052?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.01 + 1. Let v = 0.0100001 + h. Round v to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.08 * -2.37368.\nAnswer: -0.1898944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.08, 5, 0, -6, 17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (15\/6)\/((-10)\/(-24)). Suppose 135 = -5*s + 3*l, 0 = -4*l + c*l. Let i = s + 49. Solve 9 = 2*h - 3*m, 10 = -4*h - 4*m - i for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = -5*i + 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24*(-47)\/3008)\/((45\/(-6))\/5).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of 1\/4*w**4 + 1\/20*w**5 + 2*w + 1\/3*w**3 + 0 + 0*w**2. Find i such that t(i) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3\/10 (b) -2\/7 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30 - 202?\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -4*g**2\/3 + 146*g\/3 + 76 = 0.\nAnswer: -3\/2, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -6. Suppose 2*d - 47 = k*m + 31, -3*m = 4*d - 128. Suppose 3*g - j - 9 = 16, g + 5*j - d = 0. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -343640 - -3?\nAnswer: -343635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 30, 58, 86?\n\"Answer: 28*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -6*u**3 + u**2 + 16*u + 46. Let q be s(-5). Suppose -32*d = -q - 1403. Calculate the remainder when d is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5147 is divided by 184.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 564.9 take away -9?\nAnswer: 573.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -8125*t**2 - t - 4. Suppose 0 = 4*k - 3 + 19. Let q be s(k). What is q rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1837999?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 219.04 and 562.\nAnswer: 123100.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 108\/(-30) - -3 - (-2247)\/(-5). Let r = g + 4042\/9. Which is bigger: 0 or r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 10 = s - n, -5*s - 7*n - 3*n = -16 - 9 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/5))**(-11))**(-9)\/(((p**(3\/2)\/p)\/p*p*p*p\/p**(-5)*p)\/(((p\/(p\/(p\/(p*p*p**(-6)))))\/p)\/p**(3\/2))) assuming p is positive.\nAnswer: p**(-228\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + -16 + (-2)\/(-1). Let y = z - -8. Let i be ((-1)\/y)\/(25\/(-15)). What is the second biggest value in i, 0.4, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3524676 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -448*q - 444*q = -863*q - 56376. Does 9 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88975 is divided by 392?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -15924341?\nAnswer: -3\/15924341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 13, n: 5}. What is prob of picking 4 d?\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a milligram in micrograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -84 in -21, -5, -160?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -7*z**3 - 4*z - 4. Let v(s) = -s + 2. Let h be v(-3). Suppose 5*c - h + 15 = 0. Is 9 a factor of i(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-14)\/(-3))\/((-102)\/807228). Is 21 a factor of l\/(-168) + (-3)\/(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 4*n**2 + 2*n - 1. Let c be z(1). Suppose c*j = j - 36. Let q = -9 - j. Solve 2*s = -5*y + 16, -4*y - 7 = -5*s - q*s for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t = -10*t. Suppose 6*p + 14*p - 3080 = t. Does 6 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1222013321 - -10?\nAnswer: -1222013311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 d when two letters picked without replacement from dldddddddddddldddl.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-946)\/(-3225)*174\/319?\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/2 - (-7 + 8). Suppose -4*r - 7 = 5*d - 4*d, u*d - 3*r - 19 = 0. Let l(i) = d*i - i - i. Let j(c) = 12*c**2. What is l(j(p))?\nAnswer: 36*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1258 is divided by 90?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 30466 - -56?\nAnswer: 30522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 139 - 13. Is v a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g**4\/4 + 7*g**3 - 23*g**2 + 8*g = 0 for g.\nAnswer: -8, 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 - 40 + 10*a - 47 - 3*a + 108.\nAnswer: 7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 PM and 9:48 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 559.0557985905 - 29.0557976875. Let j = c - 530. What is j rounded to 7 decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = 2*q + 13, 1 = -2*h + 2*q + 9 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*a*i**4 + 3766410*a*i**3 + 44487848*a*i**2 + 2*a + 2 wrt i.\nAnswer: -264*a*i + 22598460*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 - 26. Let t be 1 + (-52)\/14 + g + 2. Is t > -2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1456413?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((36\/(-144))\/(2\/8))\/(2\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -32, -1 in descending order.\nAnswer: -1, -4, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a litre in millilitres?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-one eighths of a micrometer?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*o - 1 - 259*o**4 + 89*o + 14*o + 19*o + 11*o wrt o?\nAnswer: -3108*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.41, 0.5, -2, -2\/9?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49938, 99878, 149818?\nAnswer: 199758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43, -165, -323, -517?\nAnswer: -747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 6:47 AM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 140021.919ns to days.\nAnswer: 0.0000000016206240625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 124897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 2\/3 (c) 0.2 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u - 1 - 3*u - 4*u + (-4 - 1 - 3)*(u + 0*u + u) to the form w + l*u and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v + 126 = 72*v. Let m(c) = -3*c - 2 + 4*c - 4*c. Calculate m(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -5*z + 36554, -5*d - 93*z + 98*z = -60950. What are the prime factors of d?\nAnswer: 2, 11, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -341244 - 11302?\nAnswer: -352550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 3*p + 175 = -8*p, -4*p = -2*w + 80. What are the prime factors of 720\/w*15\/2?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*w - 577 = -22*w - 1567 for w.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1404162.\nAnswer: 2, 3, 26003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1509 divided by -1\nAnswer: -1509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -7. Suppose 10 = 2*a + h. Solve -4*o = 1 + a for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4056.81 + -299?\nAnswer: 3757.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - 3) + 15\/(-9) + (-38)\/(-12). What is the third biggest value in -4\/3, -280, y?\nAnswer: -280","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 10:30 AM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 107099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**2 + j**3 - j**2 + (5*j**2 - 2*j**2 + 24*j**2)*(-10065 - 323*j + 10065).\nAnswer: -8720*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*b + 52*b = -75 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ajj when three letters picked without replacement from aejjjjjjaj?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 376127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 + 25. Which is smaller: 3\/10 or r?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*-904701.\nAnswer: -6332907","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by 111?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 356249.\nAnswer: 41, 8689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 - 13 - 3 + 182*b**3 - 50*b**3 + 44 to the form c + a*b**2 + x*b**3 + v*b and give x.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o - o + 3*o)*(-2*o + 3*o + o + 0*o + 3*o - 5*o - 3 + 3 - 2*o + (5 + 1 - 4)*(7*o - 2*o - 3*o) + 2*o - 3*o + 0*o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3891 + 3891 + 20174*t.\nAnswer: 20174*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l + 17. Let v be n(7). Let z be (-8)\/(-6)*3\/2. Suppose 2*a = -q + v, z*a = -q + 3*a + 6. Solve q - 1 = 2*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3209285 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -5, -3 in decreasing order.\nAnswer: -3, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 162 = -3*s, -3*s + 24 + 129 = -m. Calculate the remainder when 308 is divided by s.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00864511189 to four dps.\nAnswer: 0.0086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -44.11451 rounded to one dp?\nAnswer: -44.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (9480\/(-288) + 33)*1*-2.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -12595, -19389, -26183, -32977, -39771, -46565?\n\"Answer: -6794*b - 5801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8 or -14742?\nAnswer: -14742","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2874?\nAnswer: 2, 3, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -4*(-5*sqrt(25)\/sqrt(5)*-5 - -5*sqrt(50)\/(sqrt(40) - sqrt(10))).\nAnswer: -120*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 4*p**2 + p + 1. Let o be l(2). Let n = -12 + o. What is the remainder when 25 is divided by n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -323323202 (base 5) in base 15?\nAnswer: -1c5a37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, i: 7, w: 2}. What is prob of sequence gw?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1248 - -9963\/8. Calculate the common denominator of j and -103\/28.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of 19*a**6\/120 + 15*a**3 - 60*a**2. Find the first derivative of x(r) wrt r.\nAnswer: 57*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2442 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 5*t + 5. Let d(m) = 4*m**3 - m**2 - m + 1. Let u be d(1). Let g be q(u). Solve -2*p - 3*p + g = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/n**0*n))**(20\/7)\/((n*n**(2\/13))\/(n*n\/(n\/(n*n**(-4\/5))))))**(16\/11) assuming n is positive.\nAnswer: n**(-20464\/5005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((12\/(-6))\/(-2))\/(2\/4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17.03 + -0.03. Let z = -16.77 + k. Let s = 0.07 + z. What is the second smallest value in 0.1, -4, s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.4 + -0.1. Let v = 1.50000011 + f. Round v to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 12 = 0, -222*t - 3*b = -221*t + 2*b + 37 for t.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 8) to base 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, o: 1, y: 1, f: 2}. Give prob of sequence ff.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*t*w**4 - 2*t*w**3 + 111*t*w**2 + 3100*t*w + 1473*w**4 wrt w.\nAnswer: -72*t*w - 12*t + 35352*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 445927 is divided by 500.\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z + 27. What is the least common multiple of y(13) and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.07, -2\/17, 5, -6?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 31\/5 of a millennium?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pd when two letters picked without replacement from ydplppppdplplppldy?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 108, 105, 92, 63, 12, -67, -180, -333?\n\"Answer: -b**3 + b**2 + b + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 809 a factor of 63643221?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 32285, 4.\nAnswer: 4, 6, 32285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 1430 divide 116681937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 0, 89, 258 in increasing order.\nAnswer: 0, 13, 89, 258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.083 in 4\/7, -0.21, -5?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 1 = 3*r, 5*r = 11 + 9. Let s(q) = 3*q + 64. What is the units digit of s(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47596 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.01 in -2\/3, -5, 34?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -823*w + 10348 + 8581 for w.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*w + 690 + 16 = 119 - 501 for w.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*k - 268 - 185 = -113. Let y(w) = 6*w**2 - 2*w + 1. Let o be y(1). Which is the closest to -7? (a) o (b) k (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148 = -7*x - 120 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 80 + -62. Suppose 8*d = -v + 10. Let x be (0 - (3 - (3 - 3)))*d. Solve 0 = -0*u + 3*u - x for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, -0.15, -0.4, -1, 76, 3 in increasing order.\nAnswer: -35, -1, -0.4, -0.15, 3, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1075562 to the power of 1\/2, to the nearest integer?\nAnswer: 1037","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m + 4*m + 3*y = 20, 3*y = m + 14 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 545232381?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that w**4\/7 + 228*w**3\/7 + 15275*w**2\/7 + 244596*w\/7 - 260100\/7 = 0.\nAnswer: -102, -25, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 38?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -49.48 + -4.92. Let b = y + 54.4000622. What is b rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.4475*-7397.\nAnswer: 25501.1575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 124*n**2 + 127*n - 327. Calculate r(123).\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1260 (base 12) to base 5\nAnswer: -31323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 162 = -0*y - 5*u, -3*u = -2*y - 89. Let c be (-6)\/(-21) + 406\/y. List the prime factors of c\/(32\/(-21))*4.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 17*n**3 - 9*n**2 + 42*n + 6. Let r(h) = -49*h**3 + 26*h**2 - 127*h - 17. Let b(w) = 6*r(w) + 17*s(w). What is the second derivative of b(z) wrt z?\nAnswer: -30*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 113897989?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 14956, -2 in descending order.\nAnswer: 14956, 13, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 + -1 - (-28 + 33)) + 24 + (-13 - -11)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175987 is divided by 87921.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(252\/639) - -5 - (-2988)\/280. Determine z so that g*z**4 + 7*z**5 - 5*z**3 - 61\/5*z**2 + 8\/5 - 2*z = 0.\nAnswer: -1, -4\/5, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -15 + 16a5?\nAnswer: 1690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 3*x - 49, -138*y + 134*y + 4*x = 52. Let l(w) = -29*w - 284. Give l(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of -5*c**4\/36 + c**3\/6 + c**2\/3 + 3*c. Factor u(z).\nAnswer: -(z - 1)*(5*z + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - -1 - (-9 - -7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3204323.\nAnswer: 857, 3739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7805693281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-5) - (-153)\/(-45)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/181 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 597 is divided by 100.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - m = 90047, -90043 = -5*w - 29*m + 28*m. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -361672 (base 8) to base 13\nAnswer: -44499","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from srwrwwwwwwrswr. What is prob of sequence rsr?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 31, 30, 27, 22, 15, 6?\n\"Answer: -w**2 + 2*w + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128*p - 56980 = 34*p - 54*p. Calculate the greatest common divisor of p and 2100.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.55 - 0.662. What is p rounded to two dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5004684 and 5848.\nAnswer: 170159256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47, 102, 159, 218, 279?\nAnswer: 342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2068.1 less than -119.99?\nAnswer: -2188.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*l**2 + 4*l + 4*l - 6*l wrt l.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 1 = 4*f + 11, 0 = 2*w + 4*f + 8. Sort w, 3, -1, 4 in descending order.\nAnswer: 4, 3, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -38 + 14*s - s**2 + 5 + 4. Let x be t(11). Suppose 0 = -4*d - x*z + 812, 5*d + 129 = 5*z + 1094. List the prime factors of d.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.68 - -1.6. Let t = 0.013 - 0.293. Let a = t + q. Which is greater: 1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5 + (3 - 28\/(-7)). Suppose -18*s + o = -17*s. Solve -s*p - 5 - 1 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**5\/4 - 6*z**4 - 45*z**3\/4 - 11*z**2\/2.\nAnswer: -z**2*(z + 1)**2*(z + 22)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 210 and 1652?\nAnswer: 24780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2391, -3241, -4653, -6639, -9211?\nAnswer: -12381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16.00002 - -16. What is u rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 414 (base 13) to base 16\nAnswer: 2b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3489*m**3 - 1741*m**3 - m**2 - 1750*m**3 - 65*m)*(0*m**2 + 0*m**2 - 3*m**2).\nAnswer: 6*m**5 + 3*m**4 + 195*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 3 (b) -10 (c) 0.002 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 82004176 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1898, -1928, -1972, -2036, -2126, -2248, -2408?\nAnswer: -2612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -280 = 3*j - 8*j. Let m(i) = -115*i**2 + j*i**2 + 64*i**2. Let k(x) = -x**2. Give k(m(l)).\nAnswer: -25*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 34, 58, 86?\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000177196275 rounded to 7 dps?\nAnswer: 0.0001772","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, c: 11}. Give prob of picking 1 z and 1 c.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.42 + 158.42. Let p = i + -158. Let q = -0.07 + 4.07. Which is the second smallest value? (a) -6 (b) q (c) p (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - m - m**3)*(4*m + 21 - 21) + 7*m**4 + 5*m**4 - 3*m**4.\nAnswer: 5*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 6272284 and -56.\nAnswer: 6272228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*((-132)\/(-8))\/(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2524038 + -2524050.88637. Let m = 14.936489 + p. Let q = 2.05 - m. Round q to 5 decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -1026\/79, 0, 3, 0.2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.95171229 and -1.\nAnswer: -2.95171229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3\/2)\/b)\/(b\/b**(-7))*b*b\/(b*b**(-2\/9)*b)*b**(-6)*(b\/(b\/b**(1\/4)))**(-20)\/(b*b**(3\/7)\/b*b*b**(-1)\/b*b) assuming b is positive.\nAnswer: b**(-2735\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2 - 828*v + 171396.\nAnswer: (v - 414)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 2, -108, 1\/23, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -5 (b) -2\/3753 (c) 0.3 (d) 4 (e) 6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -38*y + 41*y. What is the common denominator of (-6)\/(-15) - 229\/10 and (3\/3)\/(2*y\/(-11))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/((t**(1\/3)*t)\/t)*t**(-7\/8)*t assuming t is positive.\nAnswer: t**(19\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 10 - (-87 - -73) - 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*p**5 - 9478*p**4 + 17934*p**3 + 982*p**2 - 17954*p + 8496 = 0.\nAnswer: -1, 9\/10, 1, 472","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*(4 + 581\/(-147)). Let -2\/7 - h*k + 1\/7*k**3 + 2\/7*k**2 = 0. Calculate k.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 1040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 24195685 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 104, 199, 296, 395, 496?\n\"Answer: y**2 + 92*y + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 617446836?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*m**4 - 41155*m**3 + 13077300*m**2 - 999545040*m - 3117441600 = 0. Calculate m.\nAnswer: -8540, -3, 156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/6 and 133\/3366.\nAnswer: 3366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 305*i = 96*i + 182 - 3944 for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -72 - -74. Suppose l - 71 = -8*q + 3*q, q - k*l - 23 = 0. Suppose q*n - 12*n - 12 = 0. Solve -2*t = -n*z + 3 - 25, -4*t + 4 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**2 + 2*i - 2. Let n be d(-2). Suppose 3*u + 5*o - 27 = n*o, -4*u + 41 = 5*o. Suppose -6*j + 11 = u*l - j, 28 = 2*l - 2*j. Does 9 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.9 - 14.1374393.\nAnswer: -16.0374393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.991 + -59014611?\nAnswer: -59014569.009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (638\/(-88))\/(2 + 14\/(-8)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 34901660*w - 34901660*w + 8*w**2. Let z(r) be the first derivative of 0*r**2 + 0*r - 1 + 2\/3*r**3. Determine z(g(h)).\nAnswer: 128*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (34\/(-3))\/(3\/(-9)). Suppose -5*g + j + 161 = 0, -o = -g + 5*j + 3. Let c = -7 + 18. Calculate the remainder when g is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + 4 - (5 + -2). What is the second derivative of -d - d + d + v*d**3 wrt d?\nAnswer: 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 30 (b) 3\/2 (c) 75440\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hyx when three letters picked without replacement from bwhwbjyyx.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 87 and 9501.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000585 rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39 + -18. Let i be (-87)\/7 - ((-51)\/n + 2). Let y = 79 + i. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, l: 3, x: 7, w: 5}. What is prob of picking 2 x?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.62644763603 - 2.\nAnswer: 6.62644763603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 - 2558*a - 64589. Determine v(-25).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6*4\/(-24)*-3. Suppose -7 + 19 = f*s. Differentiate 0*b - s - 1 - 4 + 3*b with respect to b.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 9. Suppose -s*y + 245 = 2*y. Is 11 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 34 - 9. Calculate the remainder when ((-104)\/k)\/(50\/125) is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11702 and 20.\nAnswer: 117020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v = a - 10*v + 21, 0 = -2*a + 2*v - 12 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p**2 - 16*p + 13. Let u be r(16). Let d = u + 33973\/45. Which is greater: 1 or d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(-7)\/14*-1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -345 times 5?\nAnswer: -1725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -1.1 (b) -1\/2 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 16 = -2*g. Let u be ((-2)\/g)\/(1\/(-8)). Find the second derivative of 2*n**u - 1 - 7 + 8 - 6*n wrt n.\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -16. Solve -g - w = -4*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133432423 (base 5) to base 6.\nAnswer: 22414433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -c67 (base 15) in base 3?\nAnswer: -10211121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 580?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24011\/18 + 1331. Let f be (-107152)\/(-107520) + (-2)\/(-8). Let r = f - -9\/448. Find the common denominator of j and r.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.451 to zero decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -28 in 3547, -2, 2\/13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -106*d**2 + 7*d + 8. Calculate p(-2).\nAnswer: -430","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 31*w**3 + w. Determine y(1).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10 + -451820?\nAnswer: -451830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 188 a factor of 124080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2950*b**2. Let n(j) be the first derivative of 3*j**2\/2 - 5669. Calculate i(n(t)).\nAnswer: 26550*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -47 + 807*p - 71*p**5 - 1610*p + 805*p wrt p.\nAnswer: -1420*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k - 172. Let y be h(-19). What is the remainder when (y*(-2)\/10)\/((-1)\/(-10)) is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*f**2 + 21*f**2 + 2*f**2 - 1316*f**3.\nAnswer: -1316*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 17976823126 from -0.3.\nAnswer: -17976823126.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6*1 + (-4 - -3). Let n = -5 - -5.5. What is the closest to 0.1 in q, n, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199\/9 - (-10)\/(-90)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - 13*d**2 + 20*d - 23. Let z be c(11). Let q = 42 + z. Which is bigger: -4 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 AM and 2:20 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 + 25 = 5*k. Find the third derivative of 3*x**3 - k*x**2 + 0*x**3 + 21*x**2 wrt x.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 6) to base 3.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 884088664?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1788)\/(-20) + -2 + (-2)\/5. Suppose 93 + o = 12*n. Suppose -n = m - 16. Calculate the remainder when 3 is divided by m.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 7:18 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-2) + (175491\/(-961))\/(-37)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 8 = -4*q. Let r be q\/(-15) - 62\/(-10). Differentiate -2*l + r*l - 2*l - 3 wrt l.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2997078 divided by 42.\nAnswer: 71359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 12:59 PM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -95362, -190679, -286052, -381487, -476990?\nAnswer: -572567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*t + 28*t = 0. Let l(a) be the first derivative of t*a**3 + 0*a**4 + 3\/2*a**2 + 0*a + 4 + 3\/5*a**5. Find the second derivative of l(s) wrt s.\nAnswer: 36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.075895 to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(-3 - -1) + 34. Let o(u) = u**2 - 60*u + 640. Let z be o(47). Suppose 0 = 33*q - p*q - z. Calculate the greatest common divisor of 261 and q.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.7066169 and 36183.\nAnswer: 36182.2933831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 885 or 881?\nAnswer: 881","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -230 - -243. Suppose 25*x - o*x - 6240 = 0. Does 60 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 40939 to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 169.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or -100555?\nAnswer: -100555","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 17*i = 2*u + 28 + 46, 13*u - 4*i - 1 - 4 + 15 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/14*1*10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -166*d + 1312 + 846. Solve 50 - 63 = d*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q + 73. Let o be n(-21). Suppose 4*i = 4*b + o, 3*i - 4*b = -3*b + 37. What is the greatest common divisor of 4 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - ((37 - 7) + 4 + -21)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -27*h - 5. Let p be b(-1). Suppose 0 - p = 11*m. Is 5 a factor of (258\/(-15))\/((-3)\/((-15)\/m))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3100501?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 244, 489, 726, 949, 1152?\nAnswer: 1329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + 2*q**2. Let j(r) = -7*r**3 + 13*r**2. Suppose 0 = 19*v - 5*v + 42. Let h be 2 - (2 - v) - -9. Determine h*j(b) - 39*p(b).\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qwqwqq. What is prob of sequence qqwq?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7198 - -7360)*(-1)\/(-4)*(2 - 0).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, j: 3, u: 3, v: 3}. What is prob of sequence uv?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/7, -9, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 689, 728, 837, 1052, 1409, 1944, 2693?\n\"Answer: 6*f**3 - f**2 + 684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {f: 2, w: 4, q: 2, m: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 206.\nAnswer: 61.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 90264655 to the nearest integer?\nAnswer: 9501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -103013 (base 4) to base 9\nAnswer: -1608","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 5)*(3 - 3 - 3*o)*(9 + 15 - 260).\nAnswer: 1416*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -296a035 (base 11) in base 13?\nAnswer: -109468b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 8*z**2 - 9*z + 3. Let f be s(-9). Let q(k) = -f*k**2 - 7*k**3 + 2*k**2 + 5*k - 5*k. What is q(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of -k**4\/24 + 7*k**3\/3 - k**2 + 12*k. What is the smallest common multiple of b(9) and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) -142 (c) -4\/3 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/11)*p\/((p\/(p\/p**(-7)))\/p)*(p**(-2\/5))**(1\/20))**21 assuming p is positive.\nAnswer: p**(104769\/550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 6 = 3*q. Suppose 0 = -4*m + 4*h + 9 + 7, 2*h = -q*m - 1. Let d = 164\/35 + -22\/5. Which is greater: d or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 257 = j - 21. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5460*n - 4 + 4 - 3656*n**2 - 5460*n to r*n**2 + g + k*n and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18*f**6 + 35*f**2 - f**3 - 83*f**2 - 12*f**6 wrt f.\nAnswer: -3600*f**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 3*m = 40, -10 = 4*n - 10*m + 22 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**14*f**(1\/6))**(-1\/10) assuming f is positive.\nAnswer: f**(-17\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 7:42 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 35502030*p**4 - 3*p**2 + 18714*p + 1?\nAnswer: 852048720*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 88\/5, -2\/9, -1, 0.2, 4 in decreasing order.\nAnswer: 88\/5, 4, 0.2, -2\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 5*v**2 - 11*v - 6. Let g = 36 - 40. What are the prime factors of y(g)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 5*a - 30. Let c(i) = i**2 - 7*i + 8. Let m be c(a). Let n(f) = -2*f. Calculate n(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16006577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -82, 4\/7, -7.19 in ascending order.\nAnswer: -82, -7.19, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 - 15 = 4*k - 2*n, 0 = 2*k + 5*n. Suppose 0 = -o + 2 + 3. Suppose k*y - 25 = 2*y - 4*w, 2*y - o*w + 14 = 0. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*s, -4*y + 5*s + 19 + 90 = 0. Let d = y + -32. Put -5, 2, d, 5 in ascending order.\nAnswer: -5, d, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 7*p + 4. Let r be n(-6). Is (2\/r)\/(2\/(-38)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -79 - -82. Solve 5*g + 3 = 3*k + 21, -f*g - 3*k + 6 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 3*f - 2 = 0, 3*z + 567*f + 6 = 547*f for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**3*c**3*i - 68*b**3*c**2*i + 2*b**3*i - 2*b**2*c**3 - b*c**3*i - b*c wrt c?\nAnswer: 6*b**3*i - 12*b**2 - 6*b*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 161297222.000059 - 161297329. Let h = -10.1 - 96.9. Let j = h - a. Round j to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (9 - 7 - (6 - 13 - -2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/51645932 and 45\/3739072?\nAnswer: 826334912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 409 - 408. Solve -3 - 2 = -5*a + 3*q, 3*q = -a + z for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yryrrfyf. Give prob of picking 3 r.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 18 - 19*i**2 + 20*i**2 - 21*i + 2*i. Let z be u(18). Let g be 1*3 - z\/(-4). Which is the fourth smallest value? (a) -0.3 (b) 2 (c) 1 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 2*l + 194328, 1053*o - 291447 = 1050*o + 2*l. What is the ten thousands digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 419057941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -11*q + 1. Let r = 22 - 20. Suppose -r*f + 4*f = 5*a - 5, -5*f + 2 = 2*a. Let z be k(a). Is z > -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 6 = -3*t, 0*s - 2*t - 11 = -5*s. Let q be 2 - -1*((-6)\/s - -4). Let j(z) = q + 11*z**2 - 12*z**2 - 3 - 2. Determine j(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -109 by -2182549.\nAnswer: 109\/2182549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 4, -40.3, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -13484484, -13484430, -13484376?\n\"Answer: 54*f - 13484538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -46, 1, -1\/8, 6\/13, 3\/5, -2472?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ba when two letters picked without replacement from aacbbbcwabc.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 184.9999837 - 185. Round m to 6 decimal places.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 120 and (-2)\/21 + 222656\/4116.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75 - 143 + 66 + 15031*l.\nAnswer: 15031*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -67*g**2 + 13*g**2 - 1 + 99*g**2 + 4*g - 77*g**2 to the form n*g**2 + y*g + j and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*l + 9 + 14*l + 7*l - 31*l - 15*l in the form i + k*l and give i.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 + -2 - 2)*(-1 + 5). Suppose -4*p = -0*p - 4. Let k(n) = -n**3 - n**2 - n - 3. Let u be k(0). Sort u, b, p.\nAnswer: b, u, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39 + -51. Let l be (-2)\/d*-1*(-117)\/26. Which is the second smallest value? (a) l (b) 3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 368?\nAnswer: -369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of 2*u**5\/15 - 5*u**4\/12 + u**3\/3 + u**2\/6 - u\/3 + 15. Factor o(h).\nAnswer: (h - 1)**3*(2*h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zhz when three letters picked without replacement from zaffffzhzfzahaf.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 175289 and 169347.\nAnswer: 9991473","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13558693?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*h + 23*h + 30*h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1956505 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -9*r**2 - 340*r - 35. Let b be g(-27). Calculate the greatest common factor of b and 272.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -4*i + 2*m + 9, -2*i + 2*m + 4 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 53810332, 107620667, 161431002?\n\"Answer: 53810335*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117032?\nAnswer: 2, 14629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1265623 is divided by 7232?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -48*c**2*h**2*x**3 - 3*c**2*h*x**3*y - c*h**2*x**3*y + 2*c*h**2*x**2 - c*h**2*y - 3*h**2*x**3*y + 14*h**2*x**3 wrt c.\nAnswer: -96*h**2*x**3 - 6*h*x**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151 = -2*x - 10*d + 193, -2*d = -6. Let z(n) = -n. Let u(f) = f**2 + 4*f - 20. Calculate x*z(l) + u(l).\nAnswer: l**2 - 2*l - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 96 + (46 + -25 - (17 + 5)).\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -0 + 8. Let l(b) = b**3 - 15*b**2 - 12*b + 1. Let d be l(16). Suppose -6*o = -p*o - 2*m - 40, 2*o + 3*m = d. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 1005732.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -42*x**2 + 12*x + 12. Suppose -860 = 29*d - 201*d. Let c(k) = -17*k**2 + 5*k + 5. Calculate d*u(l) - 12*c(l).\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 5*r - 105, 0 = 4*l + 31 - 11. Let i be 70\/15 - 12\/r. Solve -2*o = -p - 1, -4*o + 3*o - 4 = i*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 139 and 1330867.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.34 (b) 2.58 (c) 2\/7 (d) 4 (e) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 704 + -2140\/3. Let h(u) = -9*u - 36. Let l be h(-3). Which is bigger: b or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by (24\/(-1))\/(168\/(-252))?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7168 and 320.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 58 + -25. Calculate the highest common divisor of 22 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 586 = -593. Suppose 4*x = 4*l - 72 - 236, 3*x + p = 5*l. Calculate the smallest common multiple of 9 and l.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d*d**16*d)*d**(1\/29) assuming d is positive.\nAnswer: d**(-492\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 234 = 3*d - 4*v + v, -2*v - 308 = -4*d. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d + 15 = 70. Suppose -2*x - 7 = -z - 2, x = -d*z + 14. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 - 13*t - 2. Let r be c(-9). Suppose -m - 2*l - 10 = -3*m, 5*m + 4*l = r. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.9 and 5018367.66?\nAnswer: 5018366.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4*x - 9 = 0, 16 = -4*n - 2*x - 2*x. Let c be (2 - 18\/n)*5. Calculate the highest common factor of 4 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19577, 39855, 60135, 80423, 100725, 121047?\nAnswer: 141395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111011 - -11011111?\nAnswer: 101011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 + 49. What is the second derivative of -o*i**5 + 16*i - 4*i + 14*i wrt i?\nAnswer: -500*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(252))**2.\nAnswer: -1512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d**3 - 4*d**2 - 9*d**2 - 11*d**2 + 24*d**2.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 156 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 418317 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71 - 0.03.\nAnswer: -71.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2463 is divided by 274.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -100161738850 - -100167328639.99914. Let r = z + -5589728. Let w = 62 - r. Round w to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-30)\/(-20))\/(2\/4). What is the third derivative of 4*w**3 + 2*w**2 - w**2 + 5*w**j wrt w?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/3 + 5482584*o - 32895496\/3.\nAnswer: -2*(o - 8223874)*(o - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 + 3*z - 5. Let k be i(-5). Suppose 2 - 5 = -5*r - 4*n, 0 = -2*r + 5*n + 21. Let o(j) = 0*j - 1 + j**2 - 5 - r*j. Calculate o(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 13 = 85. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 176139727*n**2 + 3 - 176139723*n**2.\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 + (-55)\/(-10))*-2. Let v = n + 11. Sort 1\/4, v, 1 in decreasing order.\nAnswer: 1, 1\/4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 3*i**2. Let c(t) = -480*t. What is c(q(z))?\nAnswer: -1440*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1\/3, -0.1, 0.4, 1\/6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -853 + 853 - (-2 - (-1 - 0) - -9).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*d**4 + 4033188*d**3 = 0. Calculate d.\nAnswer: -1008297, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 36611237 to the power of 1\/2, to the nearest integer?\nAnswer: 6051","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0164 + -0.0098. Let q = t + -0.0066. What is the closest to 1 in q, 1\/2, -6?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 22*q**2. Let l(n) = -22 + 12 - 2*n + 6 + 13*n. What is d(l(a))?\nAnswer: 2662*a**2 - 1936*a + 352","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) - -2*(-5 + sqrt(180)))*4*5 - (sqrt(180) + sqrt(180)*1 + -2 - 6*-6*sqrt(180)))**2.\nAnswer: -52272*sqrt(5) + 126324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(22\/(-25))*((-12)\/(-190))\/(3054\/19342)\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/4354 and -55\/10173432.\nAnswer: 71214024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 147853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 62 + 15*h - 65 + 8*h**2 + 4*h**4 - 12*h + 2*h**3 - 2*h**3 to l*h + v + p*h**2 + t*h**3 + f*h**4 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 348476232*u**3 - 182551651*u**2 wrt u?\nAnswer: 2090857392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13 and 481?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-15) - (-1144)\/1820?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -309 less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3*(-3 - (-236)\/12). Let x = d - -53. Factor -5*l**2 - 7*l**x + 25*l**4 - 3*l**3 - 29*l**4 + l**2.\nAnswer: -2*l**2*(l + 2)*(2*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -237, -492, -749, -1008, -1269, -1532?\n\"Answer: -r**2 - 252*r + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 7 and 2106\/265 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -1, 3, 1, -3.\nAnswer: -3, -1, 1, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/10 of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -336432910*i**3 + 35685*i**2 - 8 wrt i?\nAnswer: -2018597460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(4\/5)*u\/(u*u*u**(-4)\/u*u)*u*u assuming u is positive.\nAnswer: u**(29\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 135?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.265*0.5\nAnswer: 0.1325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 42 + (-43 - -27) + 11\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 9*q**2 + 8*q - 42. Let w(h) = 26*h**2 + 24*h - 125. What is -8*t(x) + 3*w(x)?\nAnswer: 6*x**2 + 8*x - 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 5*q + 12 + 15, 3*q = -2*k - 96. Let w(f) = f**3 - f**2 - 102. Let s be w(0). Let b = k - s. Calculate the remainder when b is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 49 + -242\/5. Let d be 3\/12 + (-2)\/(-56). Let k = 0.3 + -1.3. What is the second smallest value in t, d, k?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j - 6. Let s be d(4). Factor -v**3 + s*v + v**3 - 2*v**3.\nAnswer: -2*v*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*b + 2. Let g be -2*b*(-1)\/6. What is d in 2\/3*d**2 + 0 + g*d**3 + 1\/3*d = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 11:25 AM?\nAnswer: 8:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97 - 102 = -r - 213 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + (-1*(3*((sqrt(1900) - (sqrt(1900) - (sqrt(1900) + 1))) + -5) + 0 + sqrt(1900)*2 + -4 + 1 + sqrt(1900)))**2).\nAnswer: -411750 + 10800*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1093275015 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24503\/5 + -4900. Let q(n) be the second derivative of -a*n**2 - 28*n + 0 - 17\/30*n**4 - 6\/25*n**5 - 4\/75*n**6 - 1\/210*n**7 - 23\/30*n**3. Factor q(z).\nAnswer: -(z + 1)**3*(z + 2)*(z + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 477 divide 1731510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 179896 + -275466. Round l to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 29. Suppose -18*h + t*h - 4 = 0. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 128359.3 millennia to centuries.\nAnswer: 1283593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -811, -788, -753, -700, -623, -516?\n\"Answer: a**3 + 16*a - 828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1537449090?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 17*z - 5. Let t(w) = 18*w - 4. Let p(d) = 7*j(d) - 6*t(d). What are the prime factors of p(5)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.1931 to 2 decimal places.\nAnswer: -4.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.922701ml to litres.\nAnswer: 0.002922701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27265875 by -193375.\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 87.1, -4, -209?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t - 2*u + 5, -32 = -2*t - 4*u - 2 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u**(-2\/9)\/u*u)\/u)\/(u*u\/u**(2\/7)))**40)**(7\/4) assuming u is positive.\nAnswer: u**(-1850\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**3 + t**2. Let z be n(1). Suppose 0 = 3*p - z + 12. Which is the closest to -2? (a) 0.5 (b) p (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/9 - 10000*m\/9 + 10006\/3.\nAnswer: -2*(m - 3)*(m + 5003)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 144690799 divided by 1040941\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 104 and 162468488.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3377 and 6965523?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 372547 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of -18\/5*j**5 + 0*j + 9 + 6*j**2 + 0*j**4 + 0*j**3. What is the second derivative of v(a) wrt a?\nAnswer: -216*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 209 = -157. Suppose 0 = z*p - 118*p - 184. Let s(k) = -45 + 2*k - 3*k + p. Calculate s(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64315 divided by 5?\nAnswer: 12863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -78.6 + 14.6. Let d = -68 - g. What is the nearest to -1 in -3, d, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 0 = -4*q + 12, -4*q - u = -9. Suppose 0*w = -q*w. Let m(y) = -y**3 + 20. Calculate the lowest common multiple of m(w) and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (42\/420)\/((-1)\/(-4))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 993 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48766 is divided by 62.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - 4 - (19 + -6) - -7.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11510 rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-660)\/(-100) - (-8)\/(-5). Solve -l = -2*n - h, n + 2*l + 6 = -4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2133\/(-123156))\/((-12)\/260). Let i be (10\/1244)\/(2\/(-48)). Let g = i - d. What is the common denominator of 145\/6 and g?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 347?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 22*z - 82. Let w be o(4). Let s(b) = 4*b**3 + 2*b**2 - 3*b - 23. What are the prime factors of s(w)?\nAnswer: 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 17?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2.0171511ns?\nAnswer: 0.000000000033619185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (44\/(-5))\/(3*(-14)\/1365).\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llge when four letters picked without replacement from {j: 2, e: 2, u: 1, d: 1, g: 1, l: 7}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 91753?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1205 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -31 - -74143?\nAnswer: 74112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.21847g in tonnes?\nAnswer: 0.00005121847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -163666, -654612, -1472860, -2618410?\n\"Answer: -163651*o**2 + 7*o - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/2 and -145\/86302656?\nAnswer: 86302656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -5. Suppose i*w - 2*r = -2, 0 = -4*w - w + 2*r + 2. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 + -31 + 42 + 1 + 3.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*k + 6*k + 50. Let x(g) = -3*g**3 + 48*g**2 - 44*g + 10. Let b be x(15). Calculate the greatest common factor of b and k.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 319 and 290?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/sqrt(3) - -3*(sqrt(21)\/sqrt(3))**2)*5.\nAnswer: 10*sqrt(7) + 105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n + 6. Let t(q) = 8*q + 25. Let u(h) = -26*p(h) + 6*t(h). Suppose x - 4*x - 6 = 0. Let z be u(x). Solve -v = l - 6, -z*l + 3*v = l - 12 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 29 + 122 = 3*f, 0 = 2*t - 5*f - 34. Let w(k) = 3*k - 79. Let s be w(t). Solve s*x = -7*x - 36 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o + 40. What is the units digit of s(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1493*c*x + 2*x - 1 with respect to c.\nAnswer: -1493*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h**2 - 10*h + 5. Let a be g(-8). Let x(l) = 27*l + 6. Let r be x(2). Let p = a + r. Calculate the remainder when 270 is divided by p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 621 - 120. Let l = r - 403. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3166, 12666, 28476, 50578, 78954?\n\"Answer: -3*v**3 + 3173*v**2 + 2*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(121)*4)\/(sqrt(99)\/(sqrt(18)\/sqrt(2))).\nAnswer: 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 52 = 5*b. Let p(g) = g + 7. Let i be p(b). Sort -4, -3, i in ascending order.\nAnswer: -4, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 68 - 185 + 82 - 25*y + 59 to the form o + i*y and give o.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**4 + 0*u**4 + 12*u + 0*u)*(-13*u + 6*u - 13*u)*(3 + 2 - 3).\nAnswer: -80*u**5 - 480*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 54519*u + 18372896. Calculate n(-337).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-one fifths of a week?\nAnswer: 42336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ybf when three letters picked without replacement from {w: 4, f: 1, b: 2, y: 3}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 359080092 divided by -2481?\nAnswer: -144732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 225738?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 18519, 18099, 17701, 17337, 17019, 16759?\n\"Answer: 2*r**3 - r**2 - 431*r + 18949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -77, 5, -4, 2\/17 in increasing order.\nAnswer: -77, -4, 2\/17, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(5\/8)*(k\/k**(1\/22)*k)\/k*k*k*k*k**(4\/21)*k*k\/k**(-12\/13) assuming k is positive.\nAnswer: k**(184819\/24024)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 62? (a) 0.2 (b) -76 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 152653, -3, 16, 2.\nAnswer: -3, 2, 16, 152653","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 1979*b + 16409. Calculate y(-8).\nAnswer: 577","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 95733, 95997, 96265, 96537?\n\"Answer: 2*h**2 + 258*h + 95473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 0 - (-80 - (-193 - -65)).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001158 rounded to seven decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -86 + 5?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 392146 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 86967507*d**2*y + 2*d*y + d - 13531424*y wrt d.\nAnswer: 173935014*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + 11*c + 34. Calculate k(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/326 + 4483\/163. Find the common denominator of -49\/20 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2200 (base 11) to base 6.\nAnswer: -21240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-46)\/(-667) + (-1278)\/3393. Let t = 8 - 8.4. Which is the closest to -1? (a) t (b) v (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 4*k. Suppose -z + 2*z - 5 = k. Let j = -3597308 + 3597308.1. Which is the nearest to j? (a) 22 (b) -0.2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) - ((3*sqrt(700))**2 + -5)) + 6*(sqrt(700) + -2)**2 - ((5 + (sqrt(700) - sqrt(700)*-3))**2 - (sqrt(700) - -6*sqrt(700)*2)**2).\nAnswer: -630*sqrt(7) + 105004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 312*t**2 + 10*t. Let s(m) = -2658*m**2 - 85*m. Let k(z) = -34*q(z) - 4*s(z). Let u(a) = -a**2. Let w be u(-1). Give k(w).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of b**5\/20 - b**4\/3 + 5*b**3\/6 - 32*b. Let x be r(3). Solve s + 5 = -3*q, 4*q - 6 = x*q + 2*s for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 877095 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.6, 0.09, -0.21 in increasing order.\nAnswer: -0.21, 0.09, 1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -3*b**2\/5 + 11175*b - 167598\/5 = 0.\nAnswer: 3, 18622","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v = 4*t - 28, 28 = 65*t - 61*t + 5*v. Let a(d) = 9*d**3 + 9*d**2 + 4. Let k(o) = 3*o**3 + 3*o**2 + 1 - o + 0*o**2 + o. Give t*k(i) - 2*a(i).\nAnswer: 3*i**3 + 3*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*u - 17*u - 11*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 11:21 PM?\nAnswer: 6:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 58 = 2. Let j(z) = -z**2 - 2*z + 5. Let u be j(0). What is the greatest common divisor of u and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2000 - 15999\/8. Let n(i) be the third derivative of 1\/60*i**5 + 1\/2*i**3 + 0*i - t*i**4 + 0 + 8*i**2. Determine n(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -24 + (-44 - -93) - 105\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 34.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, -288, 323?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -2\/7 (c) 6\/5 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22122 is divided by 155.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ook when three letters picked without replacement from {o: 7, k: 2, i: 5}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 11. Let w = -5.99 - -6. Let m = w + -5.01. What is the nearest to 1\/4 in -1\/2, o, m?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 4\/7, -1, 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - -113. What is the remainder when u is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p**3 - 203*p**2 - 269*p + 3124. Determine s(-100).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 73.09 - -0.11. Let y = 73 - g. Which is the fourth biggest value? (a) -1 (b) 4 (c) -4\/5 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -321 - 1157?\nAnswer: -1500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 d, and 1 l when three letters picked without replacement from lccaladji.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.97474 + -0.02526. What is the nearest to 0 in y, -15, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2402 and 1201?\nAnswer: 2402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1111*x - o = 2184*x - 1075*x - 11, -9*o + 30 = 5*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18805 + -1*(-6)\/(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 249\/4 + -62. Let y = -1 + 1.46. Let o = -0.36 + y. Which is the nearest to o? (a) -5 (b) -2\/13 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 3*c + 3105 = 0, -3*x - 4*c = 1871 + 449. Let h = 559 - x. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1c6 - 420?\nAnswer: -616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/7 - 0)*-7. Let a(y) = 4*y**2 - 6*y + 5 - 5*y**2 + 0. Let l be a(r). Solve -l*x = -2*b + 31, -b - 2*x - 16 = -3*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2407805 litres to millilitres.\nAnswer: 240.7805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1252 is divided by 114?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -2 (c) 4\/5 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.178585, -1\/4, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3440, 3422, 3384, 3320, 3224, 3090, 2912?\nAnswer: 2684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 12313.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8692?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -r + i + 25, -3*i = 0. Suppose 7*x = 3*x + r. Solve -3 = -2*c + 4*k + 3, -k + 12 = x*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -4. Let u be (v + 0)*20\/8. Let p(f) = f + 7. Let i be p(u). Which is the second biggest value? (a) 0.4 (b) i (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 73195.18 to the nearest ten.\nAnswer: 73200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (x - 1 + 0*x + 0*x)*(-95*x - 94*x - 1 + 187*x - x**2) in the form w*x**2 + y + b*x + h*x**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 - 22*r - 455. Let k be u(35). Let d(a) = a - 55. Determine d(k).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g**3 - 2*g**2 - 4*g + 4. Let z(l) = -l**3 - l**2 - 3*l + 3. Let o = 360 + -363. Give o*t(p) + 4*z(p).\nAnswer: 2*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -3*t**2 + 2*t - 1. Let w(f) = -329*f**2 + 2015*f - 4. Let r(o) = 4*v(o) - w(o). Find the second derivative of r(i) wrt i.\nAnswer: 634","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of -7*n**3\/3 - 9*n**2\/2 + 9*n. What is the derivative of s(d) wrt d?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-3) + 20\/12. Calculate the highest common factor of 1 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4534585*i + 4534585*i - 16771*i**2.\nAnswer: -16771*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yb when two letters picked without replacement from {p: 1, x: 3, b: 1, c: 1, y: 2, q: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -1\/21992?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 441 = z, 12*j = 7*j + 4*z + 461. Suppose 5*h = 5*o + 1370, -h - o + 148 = -136. Suppose -2*a - j = -h. Is a a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131429 is divided by 703?\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 406 is divided by 124?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 438.91973 + -491.92. Let s = -53 - n. Round s to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5464 - -21146. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40290?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (551\/(-76))\/(2\/(-8)). Let x(j) = k + 2*j + 6*j - j**2 + 3 - 5*j. What is the units digit of x(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of -w**4\/6 + 16*w. Let n(q) = q - 5. Let r(z) = z - 6. Let x(a) = 6*n(a) - 5*r(a). Determine g(x(c)).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29586?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 + 87 = -4*w. What is the remainder when 15 is divided by ((-180)\/(-84))\/((-2)\/w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-16)\/4)\/(-12))\/((-3)\/(-45))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25.07 - -24. Let w = 0.13 - h. Let k = 0.2 - w. Is -0.1 > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62188 = 6144*u + 2227*u + 405399 for u.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 142 - 34. Suppose -9 = -5*m + 2*m. Suppose -j = -m*w + 61. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-252)\/(-4) - (2 + -1). Is j\/((-6)\/15*-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 10:58 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 436132, 872237, 1308344, 1744453?\nAnswer: 2180564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4287*y**2*z - 28*y**2 + 18240*y + 14569*z - 4 wrt z?\nAnswer: 4287*y**2 + 14569","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1619 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 24*c**2 + 77*c - 61. List the prime factors of i(-16).\nAnswer: 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 87.06 - 86. Let k = 1.53 - h. What is k rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 77 and -19.8?\nAnswer: 96.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 95*j - 10777. What is b(115)?\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 3\/7, 4, -0.059 in increasing order.\nAnswer: -0.059, 3\/7, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1326418 is divided by 52?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and 3918294?\nAnswer: 62692704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 82751.33 years?\nAnswer: 8275.133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 11:55 PM?\nAnswer: 10:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 10 = -4*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*t = -19*t + 27 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 19 - (-15 - 1175\/(-35))\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 15.402 and -8.\nAnswer: 7.402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = u. Suppose -6*n + 141 + 99 = u. Is 20 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50253, -50242, -50231, -50220?\nAnswer: -50209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5264, 9082, 12916, 16772, 20656, 24574?\nAnswer: 28532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**3 - 20709 + 20709.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 PM and 2:54 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1511 - 1497. Let p(k) = 21*k - 1. What is the remainder when p(4) is divided by u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 329687 divided by -1.\nAnswer: -329687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 3 = 3*i + 13, 2*i + 9 = d for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1437473 and 113?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 25.121 in 1\/10, -3\/5, -6, 2\/11, 0.2, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38509?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(112)*2)**2 + sqrt(112).\nAnswer: 4*sqrt(7) + 896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226*c + 229*c = -24 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b - 3. Let u be y(-3). Let r be 2\/(-4)*(-6)\/u. Let l be (-4)\/6 + (-5)\/(-3). Is l > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 608 divided by 57040?\nAnswer: 38\/3565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of f**3\/12 + 13*f**2\/4 + 33. Determine i, given that t(i) = 0.\nAnswer: -26, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.24 - -7.3.\nAnswer: 7.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.6 - -127.\nAnswer: 125.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 452768.8 kilometers?\nAnswer: 452768800000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6132)\/(-32)*(-3 + 1). Let m be 15694\/40 - (-2 - 0). Let d = o + m. Find the common denominator of d and -62\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -769*u + 767*u + w + 4, w + 4 = -4*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -10 - (-3 - 0)) + -9\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 3 h when four letters picked without replacement from {j: 11, x: 8, h: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*c + 0*c + 17*c + 34*c - 1860.\nAnswer: 43*c - 1860","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -231 - -231. Solve 7*k - 2*k = f for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 PM and 5:41 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 5*s + 4 - 5 + s**2 - 3*s. Calculate the least common multiple of g(-4) and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-4) - 5357\/(-2). Suppose -2565 = -5*u + v. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 + (-2)\/(3 + -1) + 402\/(-134). Solve -a + 21 + m = -4*d, d + 3*a - 1 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - -3 - (-4 + 0) - 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -20315, -20269, -20131, -19853, -19387, -18685, -17699, -16381?\n\"Answer: 8*v**3 - 2*v**2 - 4*v - 20317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 3*j**2 + 2*j + 10. Let s = 77 + -80. Let a be q(s). Suppose -4*x = a*r, 5*r + 4 + 10 = 2*x. Solve m = -x*u - 3*m + 16, u + m - 5 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2\/2 + 69*h + 141\/2.\nAnswer: -3*(h - 47)*(h + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2305, -4600, -6905, -9226, -11569, -13940, -16345, -18790?\nAnswer: -21281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 11*(-1)\/(-7). Let f = -5.626 + -0.074. Let w = -2.7 - f. Which is the smallest value? (a) m (b) -2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 11:11 PM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1010 + -13231322031?\nAnswer: -13231321021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j**(-5)\/j)))\/((j**(4\/5)*j)\/j)*(j\/(j\/j**(-3\/5)))\/((j\/j**6)\/j))**(-33\/5) assuming j is positive.\nAnswer: j**(231\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3\/11))**(-6\/5)*d**13\/(((d**(1\/10)\/d)\/d)\/d) assuming d is positive.\nAnswer: d**(357\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j*o**2*w**2 - 2*j*o**2*w*x + 2*j*o*w**2*x + 349*j*w**2*x - 7*j*w - 12*j - 2*o**2*w*x wrt w.\nAnswer: 2*j*o**2 + 4*j*o*x + 698*j*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20254655 (base 7) to base 6.\nAnswer: 100152255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.85? (a) -0.4 (b) 118 (c) 66\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f**3\/2 + 493*f**2\/2 + 44275*f\/2 - 4310625\/2 = 0. Calculate f.\nAnswer: -275, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 294394.\nAnswer: 2, 147197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 45, 15, -47, -147, -291, -485, -735, -1047?\n\"Answer: -p**3 - 10*p**2 + 7*p + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 1127210?\nAnswer: -1127215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -y**5\/5 - 633*y**4\/5 + 2013*y**3\/5 + 66241*y**2\/5 - 342804*y\/5 = 0.\nAnswer: -636, -11, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -15146263 (base 7) in base 2?\nAnswer: -101011111101010010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + 6*t**2 + 8*t + 2. Let n be q(-3). What is the nearest to 0.2 in n, -0.1, 2\/35?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (4 - 1) + 2 + 11 + -1 + -17?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 5*l + 5 = -4*j, -14 = -j - 4*l for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five sixths of a year?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 7. Let i be 0\/v + -4 + 4. Solve -5*n - 4*w = 25, i*w + 10 = -2*w for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 3*n**2 + 3*n - 4*n + 0*n + n. Let i(r) = 130*r. Give m(i(y)).\nAnswer: 50700*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -36.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(21\/6*-2*(-4)\/(-28))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 462?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 413 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2393.\nAnswer: 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5\/4, 2\/7, -2\/5, -14, -2\/19, 17?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2809049125.\nAnswer: 5, 73, 4217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + 23*w**2 + 9*w - 25. Let l be y(-22). Let z(h) = 130*h + 8 - l*h + 128*h. Calculate z(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millennium in years?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3631 + -3636. Sort -18, g, -13 in ascending order.\nAnswer: -18, -13, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 906380?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*l + 61*l - 78 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 - 8*w + 16. Let s be q(6). Suppose -k + 42 = s*v + 6, 3*k - v = 82. What is the remainder when 49 is divided by k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 13, 1, 2, 5, -541 in descending order.\nAnswer: 13, 5, 2, 1, -5, -541","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 14) to base 12\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*2 - ((-1140)\/27)\/(-10). What is the closest to -1 in 3, 1, q, 0.08?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 2 = -3*g. Suppose -5*x + 44 = 179. Let i = x - -29. What is the remainder when g is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17159 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -11. Suppose -y = 5*p + 18 - 1, 0 = -l*p - 16. Suppose 4*s - 2*m - 42 = 0, 5*m = 5*s - y*s - 33. Calculate the lowest common multiple of s and 3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*((-5)\/(-2) - (3 + -1)). Let g be 7*(-2 + 2 - 1). What is the third smallest value in j, g, 1\/4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 50005412155 + -3?\nAnswer: 50005412152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94.04206km to nanometers.\nAnswer: 94042060000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20221 + -51555. Is 16 a factor of x\/(-112) - 6\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 233 - 933\/4. Which is the closest to -2\/7? (a) -2\/3 (b) 5 (c) u (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-400375)\/(-31875) - 189\/15\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 AM and 12:36 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -46*f**2*y + 92981*f**2 + 75*f*y + 2*y wrt y?\nAnswer: -46*f**2 + 75*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 15\/(-2)*8\/(-12). Let o(r) = -7*r**3 + 7*r - 8. Let m(j) = 6*j**3 - 6*j + 7. Determine y*o(u) + 6*m(u).\nAnswer: u**3 - u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17728.46l?\nAnswer: 17728460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*u**4 - 6*u**4 + 4*u**4)*(2 - 3 - 5 + (-54 + 77 + 69)*(0 + 2 + 0)) in the form i*u**2 + p*u**3 + y*u**4 + k + j*u and give y.\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of -l**6\/160 + 11*l**5\/80 - 9*l**4\/16 - 17*l**2. Find v such that q(v) = 0.\nAnswer: 0, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of -p**4\/24 + p**3\/6 + 8*p**2. Let m(x) = x**2 - 7*x + 3. Calculate -m(v) + 5*z(v).\nAnswer: -v**2 + 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of 645*c**4 - 1440*c**2 + 3061. Find the second derivative of l(d) wrt d.\nAnswer: 15480*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(245) + sqrt(245) + 6*(sqrt(245) + -2)) - sqrt(45)\/(sqrt(9)*2)*5*-3)**2*-3.\nAnswer: -2839983\/4 + 62352*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-42)*(-21)\/15\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 13) in base 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-1) + (1 - 2). Suppose 2*u + 1 = 6*u - 3*t, 0 = -5*u + i*t - 4. Let l = 102 - 97. What is the second smallest value in u, 1, l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.07, -0.25, -48, 1 in descending order.\nAnswer: 1, 0.07, -0.25, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -724617*x**3 - x**2 - 3*x + 28430 wrt x?\nAnswer: -4347702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 10 - 4 = 0. Suppose -45 = -2*w + b*w. Let d = 6 + w. Let q(k) = k**3 + 3*k**2 + k + 1. Give q(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 605\/(-242)*(-1 + (2 - -1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - k + 40 = 0. Suppose 5*h - 5 = 4*z, -4*h + 0*z + 30 = 2*z. Calculate the lowest common multiple of h and k.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = -2*p - 11, -2*m - 1008 = -m + 6*p - 989 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 - 30.406.\nAnswer: -22.406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23717363 and 391?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 x when four letters picked without replacement from xdxxdddxxddx?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + 8*i + 12. Let w be h(-6). Solve w*x - u - 17 = 4*x, -7 = -x + 2*u for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + 7*p**2 + 7*p - 11. Give k(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-137)\/1096*0\/(-2). Suppose 0 = -5*h + 21 - 6. Let p be (t\/(-1))\/(4 - h). Solve p*n = -5*n - 20 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1012031, -1012050, -1012081, -1012124, -1012179, -1012246?\nAnswer: -1012325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2*z - 7*z = 20, -4*z - 16 = 3*h. Solve -l + h*w = w + 2, 2*w = 2*l + 8 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 690.2103 to the nearest integer.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2709, -5419, -8129, -10839, -13549, -16259?\nAnswer: -18969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 10*v - 32. Let m be s(-3). Let p(b) = 10*b**2 - 2*b - 1. Let u be p(4). Let g = u + m. Calculate the remainder when g is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/108 and 93\/4?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 + 95\/25 + (-639)\/5. Is -126 greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 65, -208, 5 in descending order.\nAnswer: 65, 5, -2, -208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of a**2 + 1701. Let u(i) = 1136*i**2. Give u(n(g)).\nAnswer: 4544*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.9 + -8. Suppose 678*y = 669*y - 468. Which is bigger: y or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(24\/(-32)))\/(4\/(-6))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 252938, 2024003, 6831328, 16193045, 31627286, 54652183, 86785868, 129546473?\nAnswer: 184452130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -2*x, -7*r = -4*x - 2*r + 12. Let k = -3 - x. Let q = -21 + 24. Which is the smallest value? (a) q (b) 1 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rozzorrrzrnzxnnorr. What is prob of sequence ron?\nAnswer: 7\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 18 + -18 - (1 + -4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/5 (b) -1\/5 (c) -2 (d) 3 (e) -0.1 (f) 125\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 158 = 406. Suppose 184*h + 160 = t*h. Solve h - 52 = 3*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39)\/(sqrt(3) + sqrt(21)\/sqrt(7)))**2 + 2 + -2.\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/5 + (-166788)\/(-152280). Let s = d + 2\/423. Which is the closest to s? (a) 2\/9 (b) -0.5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 1, -3, 7 in descending order.\nAnswer: 7, 2, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*h**4 + 2 + 2*h + 0*h - h**4 + 2*h**2 + 3*h**4 to z*h**4 + k + v*h**2 + d*h + p*h**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 7*h**2. Let w(r) = -2150*r**2 - 2*r. Determine w(s(q)).\nAnswer: -105350*q**4 - 14*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -245, -521, -819, -1145, -1505, -1905, -2351, -2849?\n\"Answer: -o**3 - 5*o**2 - 254*o + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 168 and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 4*o - o - 10*o + 65. Let a be v(8). Solve -14*c = -a*c - 25 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1050892?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/142767 and 71\/21700584.\nAnswer: 21700584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 123, -0.4, 472, 4, -1.2 in increasing order.\nAnswer: -1.2, -0.4, 4, 123, 472","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 7699*w + 708264. Give b(-92).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.21 + -0.32. Let x be -9 - -6 - 17\/(-5). Is b greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-676*j + 1372*j - 656*j)*(8*j - j**2 + 1 - 8*j) in the form z*j**2 + d*j + a + x*j**3 and give x.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 3*r. Let a = 0.05 + 9.95. Let h = -594380.9 + 594383.9. What is the nearest to r in 2\/15, a, h?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 10:03 AM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 + -14. Sort 5, -2, a in decreasing order.\nAnswer: 5, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*m + 3238 = 6007 - 3759 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u**2 - u. Let p(b) = b - 1. Determine 5*p(z) + q(z).\nAnswer: -2*z**2 + 4*z - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 11 = -1. Suppose 4*n + 104 = z*q - n, -2*n = -2*q + 54. Let c = q - 10. Is 21 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 196923998 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.02, -2\/11, -16?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 11*j + 77. What is q(-24)?\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 133 and 46512?\nAnswer: 325584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 526695926 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) + (sqrt(119) - 5*sqrt(119)))*3 - sqrt(119))\/sqrt(7) + -2*(5*sqrt(272) - sqrt(272)).\nAnswer: -42*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0883297357 - 0.14.\nAnswer: -0.2283297357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1098949.\nAnswer: 347, 3167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 b, and 1 t when three letters picked without replacement from etbtette.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 69926?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*c**2*j**5 - 17*c**2*j - 5*c*j**2 - 69*c + 3336*j**5 - 135 wrt j?\nAnswer: 1200*c**2*j**2 + 200160*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide -6*(1 + -7)*(-30)\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*x**2 - 234*x**4 + 231*x**4 + 6*x**2 - 3*x**3 + 1 + 3*x + 3*x**3 - 2*x**3 as t + w*x**3 + u*x**2 + c*x + m*x**4 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/(-14)*49\/(-14). What is the remainder when 19 is divided by (-11)\/((2 - 5) + r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 326302742 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4 + 6)*(-2 + 2 + t)*(-2*t + t - t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one fifth of a century?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -11*r**2. Let l(s) be the second derivative of -s**5\/60 + 5*s**3\/6 + 7*s. Let j(m) be the second derivative of l(m). Calculate j(y(g)).\nAnswer: 22*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/20*((-34)\/(-85))\/((-162)\/30).\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 0.0897, 0.5, 5, 4\/3?\nAnswer: 0.0897","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in four sevenths of a week?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k - 14*k - 42 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 l when three letters picked without replacement from {z: 2, o: 1, g: 1, m: 7, l: 8, q: 1}.\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -1 + 6, 5*u - a = 46. Suppose -3*p - u = 4*f, -5*f - 3*p + 3 = -4*p. Let x = 6 - f. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 3 - 3)*(4 - 2*z - 4)*(-19188*z**3 - 9291*z**3 - 19312*z**3 - 13809*z**3).\nAnswer: 123200*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q + 4. Determine t(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 AM and 11:06 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-94050)\/1596)\/(-55)*(-4)\/5\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 563929 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 17355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -25.994 to the nearest integer.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1525 - 66*i**2 - 1525)*(-4 - 2*i + 9 - 3).\nAnswer: 132*i**3 - 132*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/64*3)\/(2\/24)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 131497377\/545 + -241280. Let o = h - -1\/109. Let q be (-3 - 1)\/(12\/15). Which is the nearest to 2? (a) q (b) -0.5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31704 is divided by 153?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) + 3 + sqrt(80) + sqrt(80) + sqrt(80))**2*1.\nAnswer: 96*sqrt(5) + 1289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/((-27)\/18*-4)*(-18)\/6.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 25069.27 millilitres?\nAnswer: 25.06927","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 6:59 PM?\nAnswer: 10:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 q when three letters picked without replacement from qqqqhqhhhjhqjqqqhq.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*k**4 - 160*k + 1 + 160*k wrt k.\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -14*r**2 + 17*r - 336. Let z(l) = -5*l**2 + 6*l - 112. Give 6*j(x) - 17*z(x).\nAnswer: x**2 - 112","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7441 + 21010. Suppose -1707 = -4*i + v. Suppose 0 = -5*g - i + 11319. What is g rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136 is divided by 55?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47 - 46.97. Put -1\/5, 5, u in ascending order.\nAnswer: -1\/5, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16808.73 - 60.3.\nAnswer: -16869.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 - 11*t**2 - t - 8. Let s be o(-11). Suppose 0*y + 381 = s*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.6 - 5.4. Let o = 7.2 + j. Which is the nearest to -1\/4? (a) -1 (b) 0.3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h - 9. Let p be v(-6). Suppose -p*k + 46 = -k. Let r = k - -5. Calculate the highest common divisor of r and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -80\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3*h = -20, 3*h + 15 + 20 = -4*o. Let x be (4\/(-2) - -3) + -6. Let j = -16 - x. Is o <= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p + 30 = 6*p + 4*b, 4*p + 19 = -19*b + 173 + 111 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 95 + -40 + -24 + -93\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7864 + -7714. What is the least common multiple of 16 and o?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + p - 2*p)*(-2 - 2 - 3) - 1238*p - 1039*p + 2746*p.\nAnswer: 476*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**3 + 4*a - 4. Let h be (-2 - 3) + 2 - -8. Let u(j) = 3*j**3 + j**2 + 5*j - 5. Determine h*y(q) - 4*u(q).\nAnswer: -2*q**3 - 4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {y: 2, z: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2535.1 - 2535. Sort g, -11, -0.16 in ascending order.\nAnswer: -11, -0.16, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64784 is divided by 32392?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2520018?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of y**3\/3 - 382. Let f(w) = 15143*w + 1. Give v(f(j)).\nAnswer: 229310449*j**2 + 30286*j + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 2:35 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 PM and 11:36 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 545, 2681, 6399, 11699?\nAnswer: 18581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-2*4*1*-3*sqrt(11))**2)*2*-2.\nAnswer: -25360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2317.\nAnswer: 7, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of -106*q**6\/15 - q**5\/10 - 335*q**2 - 15*q - 4. What is the derivative of k(t) wrt t?\nAnswer: -848*t**3 - 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 PM and 1:32 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*j - j + j)*(-2*j + 0*j + j + 2*j**4).\nAnswer: -14*j**5 + 7*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -205082 + 2?\nAnswer: -205080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.3, -7, -1.46698?\nAnswer: -1.46698","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 6:13 PM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 766 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 746 by 18765.\nAnswer: 746\/18765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.06 times -3?\nAnswer: -6.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 15*g**2. Let n(y) be the third derivative of 53*y**5\/60 - 792*y**2. Calculate n(q(d)).\nAnswer: 11925*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = y + y, 0 = -4*c + 16. Let g(o) = y*o - 1 - 8*o + 2. Let p(d) = -4*d**3 - 93*d**2 - 20*d + 71. Let i be p(-23). What is g(i)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 902, 276, -828, -2410, -4470, -7008, -10024?\n\"Answer: -239*x**2 + 91*x + 1050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 11*k**2 + 10*k + 2. Let r be g(-10). Suppose 0 = 3*z + r*d - 189, z + 5*d - 245 = -3*z. Suppose z = q - 44. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 12*j. What is r(-5)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {m: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51, 100, 159, 234, 331, 456?\nAnswer: 615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(128)*1 - -3*(sqrt(128)*-3)**2.\nAnswer: 40*sqrt(2) + 3456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-4)*p\/((p\/(p\/(p**(2\/3)\/p)))\/p)*(p**(3\/4)*p)\/(p\/p**5)*(p**(-5)\/(p**0\/p))**(-28) assuming p is positive.\nAnswer: p**(1393\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3072 (b) 2\/3 (c) 382 (d) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 171056 times 0.2\nAnswer: 34211.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42144 divided by 14048.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*l**2 - 8*l - 6*l**3 + 4*l**3 + 7515 - 3735 - 3776 to the form y*l**2 + j*l**3 + x + o*l and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*r - 103886 = 5*b - 19*r, -5*b + 3*r = 103858. Let s = b - -32431. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -39 - (-39 - (-17 + 42))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 1389*h. Let j(z) = 339057*z. Give o(j(s)).\nAnswer: 470950173*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 8, j: 2, q: 2, w: 7, h: 1}. What is prob of sequence qxh?\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 5*b = -2, -4*b = 5*m + b + 5. Let p be ((-2)\/32)\/(m\/(-6)). Let t = 0.07 + 0.13. Sort p, t, -4 in descending order.\nAnswer: t, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 5*d = 20, 123 - 115 = -j + 2*d. Let l(k) = k**2 + 1. Let r be l(1). Solve j = r*x - 1 - 7 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14618 plus -26735?\nAnswer: -12117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - 10 - 32\/(-4). Let a(x) = 3*x + 3. Let w be a(-2). Find the common denominator of -55\/3 and w\/(-18)*(-85)\/o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-403*u + 800*u + 16304*u**2 - 397*u)*(2*u + 1 - 1).\nAnswer: 32608*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyydyyqqydk. Give prob of sequence qydy.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 3*v - 14, -4*k + 7*k - 4 = 4*v. Suppose -78 = -4*x + i, 0*i - 3*i = k*x - 70. Suppose -11*j + 12*j = x. List the prime factors of j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25766488.\nAnswer: 2, 11, 292801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13605*f**3 - 6799*f**3 - 6791*f**3 - 2*f.\nAnswer: 15*f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-276)\/(-506) - (-78)\/(-22)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z**5 - 300*z**4 + 5685*z**3 - 33890*z**2 + 19500*z + 225000 = 0. Calculate z.\nAnswer: -2, 6, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3287)\/(-361) - (3 + -12)\/(-1)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1893.\nAnswer: 3, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41.44 + 41.24. What is the closest to d in -3, 0.01, -21, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 96 (base 10) to base 5\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 17, 2\/43339, -14\/5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 7 - (382 + -405)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 79755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -63353 - -63397. Suppose 4 - 32 = -4*g. What is the smallest common multiple of 6\/5*(g - 2) and h?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 39? (a) -2\/19 (b) 5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -d**4\/28 - d**3\/3 - 4*d**2\/7 + 16*d\/7 - 11. Solve c(f) = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 3*s + 4. Let t(x) = -x**2 - 7*x - 4. Let g be t(-6). Let h be (0 - (g - s))\/1. Solve h = -0*n + 5*n + 5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppp when three letters picked without replacement from {b: 12, p: 6}.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 381.9339 litres to millilitres.\nAnswer: 381933.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r**2 - 19*r - 8. Let s be u(10). Solve 4 + 5*x**s + 30*x + 5 - 9 = 0.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 119406?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -136517330.\nAnswer: 1\/68258665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 448 and 192.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -3*l - 67093*l**2 + 33556*l**2 + 33553*l**2 + 3*l. Let v(o) = o - 33. Calculate v(q(t)).\nAnswer: 16*t**2 - 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7883, -11008, -16205, -23468, -32791, -44168?\nAnswer: -57593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 76490253 to the power of 1\/2, to the nearest integer?\nAnswer: 8746","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1281267 and 342?\nAnswer: 48688146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from zuzbnzooz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v. Let m(l) be the first derivative of 0*l**2 + 2 + 1\/3*l**3 + 0*l. Calculate d(m(t)).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of c**4\/20 - 8*c**3\/3 - 83*c**2\/10 - 42*c\/5 + 1567. Let w(q) = 0. Calculate q.\nAnswer: -1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 - 4*a. Let n be l(-5). Let q(p) = -p**3 + p**2 - 1. Let w(o) = 3 + 3*o**2 - 2*o**2 - 3*o**3 - 2*o + 4*o**2 + 3 - 14. What is n*q(j) + w(j)?\nAnswer: 2*j**3 - 2*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-8)*24\/90. Let y = 12 - 12.5. Let j = 0.35 - -0.05. Which is the third smallest value? (a) y (b) j (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -60, 16, 0 in ascending order.\nAnswer: -60, 0, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 21, 50, 79?\n\"Answer: 29*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132 is divided by 25.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/8 - (-76)\/16. Let p be (2\/5)\/(1\/i). What is the first derivative of 2 - 3 - 2*x**p - 2 wrt x?\nAnswer: -4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2769 - 20.67?\nAnswer: 2748.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one quarter of a meter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -22 at most 204?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (13 + 0 - (199 - 178)) + 9\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**4 - 3 + 3)*(-647*d + 774*d + 586*d + 1063*d).\nAnswer: -1776*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 411 - 100 - 106 - 103 + 92*g**2 - 106 as s*g + i*g**2 + v and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3209, 6375, 9541, 12707, 15873, 19039?\n\"Answer: 3166*p + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -82*t - 3. Let q be u(-6). Suppose q = -8*b - 3567. Let a = -361 - b. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*f = -29*f + 18226. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 28*d*y**2 - 12867*d*y - 1586891*d + 3*y**2 - 5*y wrt y.\nAnswer: 56*d*y - 12867*d + 6*y - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2415 divided by 161?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*r = -42*r + 18*r. Which is smaller: 253 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 173*f**3 + 128964*f + 6073940.\nAnswer: 519*f**2 + 128964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1271 is divided by 51.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - 29 - (-1 - 9) - -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 - 0.62. Let a = 0.08 - z. What is the closest to a in -3, 2\/3, 3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -5*g + 11. Let b be k(2). Solve -b = f + 2 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + 6*x + 10. Let r be p(-7). Suppose -4*m = -r + 5. What is the remainder when 5 is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y + 13. Let j be z(6). Suppose -4*k - 4*t = -40, -3*t + 14 = 5*k - 26. Solve 3*n - j = -k*h, n + 7 = 3*h - 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 31 + 15. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + 25 + (-6 - -26) + -32?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 107, 185, 257, 323, 383, 437?\nAnswer: 485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(2 + 16\/(-10)). Let k(y) = -7*y - 4 + y + 7*y + 2 - 4. Give k(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -12032222200122?\nAnswer: 12032222200112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -199852990, -199852988, -199852986?\n\"Answer: 2*z - 199852992","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 122 - 167. Let f = l + 61. What is the third biggest value in -0.3, 0.4, 3, f?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 7*f. Let r(v) = -3*v. Let d(k) = -10*k. Let c(y) = 2*d(y) - 7*r(y). Give a(c(q)).\nAnswer: 7*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44 - 15*z**2 - 82 + 39.\nAnswer: -15*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 7. Suppose k = c - 2*u - 12, 3*u = 4*c - 57. Let g(i) = -i**3 + 13*i**2 - 9*i + 6. Is g(c) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4*(-1)\/(-2))\/1 - -89. Let y = -31 - -45. Calculate the remainder when (l - 4) + (5 - 1 - 4) is divided by y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9041.924 centimeters in micrometers?\nAnswer: 90419240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pypypppypppypppyyyp. What is prob of sequence yppy?\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f*f**(-2)))**(-1\/33)*(f*f\/(f*f**0*f))**(-4)*((f**(1\/2))**(-46))**(-1\/16) assuming f is positive.\nAnswer: f**(237\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(-17)*y))\/(y\/y**(-2\/27)*y) assuming y is positive.\nAnswer: y**(403\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1d17 - -3?\nAnswer: 1d1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 364 = 1785*o - 1694*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 0.7155091381699\nAnswer: -8.2844908618301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -47, 0.5, 0, -0.5, -0.49, 6?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -808*x - 257*x - 259*x + (0 + 2 - 1)*(0 + 0 - x) + (4 - x - 4)*(-3 + 4 - 2) + 3*x - 2*x - 4*x.\nAnswer: -1327*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -33*p + 54. Let h be -1*(1 + -7)\/(6\/(-4)). Let i(z) = -34*z + 55. Let x(u) = h*d(u) + 5*i(u). What is the derivative of x(a) wrt a?\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.019 (b) -0.4 (c) 1 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*c**2 + 5*c*h - 22539*c + 1792815*h wrt c.\nAnswer: 26*c + 5*h - 22539","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 485 (base 13) to base 14.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s + s + 7. Let n be (-15)\/(-35) + (-214)\/s. Suppose 0 = 4*u - 477 - n. List the prime factors of u.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 40?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 807598034?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33520, 267499, 902412, 2138725, 4176904?\nAnswer: 7217415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*m**3 + 2*m**3 + 5*m**3)*(0*m**2 + 5*m**2 - 3*m**2) + (m**2 - 2*m**3 - m**2)*(-1 + 2*m + 1)*(8 - 8 - 2*m).\nAnswer: 10*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1*8\/(-3)*(-9)\/(-4) - 22872\/(-5718)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - 8*d**2 + 10*d + 12. Suppose 0 = b - 3*b + 50. What is the remainder when b is divided by q(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sww when three letters picked without replacement from wiziisozwsoeei?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-8))\/((-3)\/28)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000106927 rounded to 6 dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - 3*b**2 + 6*b - 2. Let h(c) = -c**3 + c**2 + 1. Let i(o) = -d(o) + 2*h(o). Let v be i(4). Put v, 3, 8 in increasing order.\nAnswer: v, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8564452153 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-12)\/(-48))\/(1\/4). Let l = 0 + b. Solve 3*u + l = 4*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - 0. Let f = m + 0.9. Which is the closest to f? (a) -0.2 (b) -3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 17\/12, 3694, 2?\nAnswer: 17\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1528777.9399 less than 0.2?\nAnswer: -1528777.7399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 72.11 and 11.\nAnswer: 793.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 1 (b) 45 (c) 231\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1910379.11 rounded to the nearest 10000?\nAnswer: -1910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8539537817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10\/15*171\/(-152)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/10)\/(8\/40). Let g be z\/(-10) - 10\/25. Suppose g = -t - 3*t + 100. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 7 = 4*w. Suppose 0 = 4*f + 179 - 167. Let x = 1 - 5. Sort w, f, x in descending order.\nAnswer: w, f, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/4, -0.4, 5, 0, -9?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of -o**6\/120 - o**5\/6 - 13*o**4\/12 - 44*o**3\/3 - 103*o**2. Let g be p(-8). Is -55\/8 less than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -11637, -23517, -35399, -47283?\n\"Answer: -k**2 - 11877*k + 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 - 119*u. Let w(y) = -41*y - 5. Calculate i(w(c)).\nAnswer: -1681*c**2 + 4469*c + 570","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -97*s + 826. Calculate o(16).\nAnswer: -726","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 2 f when four letters picked without replacement from fififzfzizii.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(1331) + sqrt(1331)*-2 + -4)*-4*-2 + 5)**2.\nAnswer: 4048*sqrt(11) + 85713","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -5*j**3 - 5*j**2 + 38. Let u(i) = 14*i**3 + 15*i**2 - 106. Let t(w) = 11*c(w) + 4*u(w). Calculate t(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 6685395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22.8 or 78191?\nAnswer: 22.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**3 + 7*b**2 + 6*b + 10. Give a(-4).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.02 + 0.12. Let q = -0.2 + r. Let j = 0.8 + -1. Which is smaller: q or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 28 = -0*k. What is the greatest common factor of k and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of y**4\/4 + 7*y**3\/3 - y**2\/2 - 7*y + 22. Let r(s) = 0. What is s?\nAnswer: -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2536*u = -2542*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 939 divided by 3\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104884 - 34066 = -1221*t for t.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -3*c**3 - 5*c**2 - 5*c - 3. Suppose -10 - 6 = -2*a. Suppose -a*y - 78 + 278 = 0. Calculate the remainder when v(-3) is divided by y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5807 is divided by 1447.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 10 - 4*a + 6)*(-1 + a + 1).\nAnswer: -4*a**2 - 5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of l**6\/24 + l**3\/2 + 10*l. Let y(h) be the second derivative of g(h). Let i(b) = -2*b. Give i(y(r)).\nAnswer: -30*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1495?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4768*h**3 - 6494*h**3 - 5348*h**3.\nAnswer: -16610*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -23942, -23812, -23588, -23270, -22858, -22352, -21752?\n\"Answer: 47*d**2 - 11*d - 23978","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + 59*t**2 + 74*t + 931. Let s be v(-58). Solve -14*n - 12 = -11*n + r, s*r + 24 = -5*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20010 + -20010.2. Which is the closest to -16? (a) -0.3 (b) l (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18047 + 17585 = -21*v for v.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 8*h**3 + 4*h**2 - 53*h + 314. What are the prime factors of x(7)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 less than -4.6?\nAnswer: -5.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13.7 - 2.3. Let l = 16.5 + w. Which is the biggest value? (a) l (b) 2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 8 = -3*z + 2, 2*q + 17 = 3*z. Find the third derivative of -4*s**2 - 4*s**3 - 2 + z - 3 wrt s.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (57*b**3 + 2*b**5 + 1984487*b - 1984487*b)*(2 - 1 + 0).\nAnswer: 2*b**5 + 57*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*2*sqrt(68) - sqrt(68) - (sqrt(68) - sqrt(68)*-1)*5)*-1)\/(sqrt(576) - -6*sqrt(576)*1 - (-5*(sqrt(576) + 2*sqrt(576)) - sqrt(576) - sqrt(576))).\nAnswer: 5*sqrt(17)\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*v - 15. Let c = v + -7. Suppose c*y + y = 27. What is the greatest common factor of y and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 5 = 1. Let f(q) = 12*q + 192. Let z be f(-16). Let l(r) = r**3 + r**2 - 2*r + 1. Let k be l(1). Sort k, z, j in decreasing order.\nAnswer: j, k, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -u**3*w**2 - 2*u**3*w - 99145*u**3 - 138*u**2*w**2 - 296*u**2*w + 8*u**2 wrt u.\nAnswer: -6*w**2 - 12*w - 594870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.628*1728.\nAnswer: -2813.184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-27)*9\/12*3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j - 2. Let i be u(5). Suppose 2 = -l - l - i*f, -3*l - 3 = f. Which is smaller: -2\/23 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0271 and 9658.\nAnswer: -261.7318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 334750 rounded to the nearest 1000?\nAnswer: 335000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5107 = -32*p - 4851. Let o(g) = -14*g**2 - 8*g + 26. Let h(q) = -5*q**2 - 3*q + 9. Let u(l) = -l**3 - 6*l**2 - 3. Let y be u(-6). Give p*h(z) + y*o(z).\nAnswer: 2*z**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -151\/785864 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of -h**2 - 2*h - 8. What is k(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*2478\nAnswer: 12390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 8 = 0, 27*l = 22*l - 3*s + 19. Let r(z) = z**2 + 18*z - 141. Let a be r(6). Solve 3*j + 3 = -a*y, 2*j + 5*y = -j - l for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 131 + -219. Let w = 88 + b. Suppose -24*y + 21*y + 36 = w. What is the lowest common multiple of y and 130?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(1\/20)*i**11*(i**(-6)\/i)**47 assuming i is positive.\nAnswer: i**(-6359\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -4*j - 3*m, 2*j + m - 11 = 4. Let d = j + -23. Let w = 77 + d. What is the remainder when w is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -0.1, 1.512314?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9473.36 + -9126. Let p = f + 89.34. Let b = p + -457. Round b to 0 decimal places.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 PM and 8:06 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 776 a factor of 10246304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6512 and 2?\nAnswer: 6512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 u when two letters picked without replacement from {i: 1, h: 1, z: 3, b: 1, u: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*j + 18 = 0, -4*j + 11 = 5*a - 15. Suppose -16 = -3*f - 4*p, -2*p + 4*p = a. Suppose z - 20 = 4*q, -f*q = 5*z - 20 + 64. Is q bigger than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 14 = -4. Solve f + 4 = s for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-25)\/10)\/(-5)*-18 - (-89 + 134))\/(-1)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1679 or -114077\/68?\nAnswer: -1679","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -146 + 250. Suppose 0 = b + 101 - z. Factor 3\/5*c**2 - 3\/5*c + 1\/5 - 1\/5*c**b.\nAnswer: -(c - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.5, -19\/31, -4, 2, -1.1, 0.14?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*r + 90*r = 380*r + 10550 for r.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -18995.92 rounded to the nearest one thousand?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*(8\/(-3))\/4. Let w(t) = 2*t**2 + 4*t + 3. Let y be w(n). Suppose y*s - 4*s = -51. What is the greatest common divisor of s and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 11*z - 5. Suppose 5*r - 1 = -11, 0 = -y + 4*r + 20. Let v(x) = 28*x - 12. What is y*d(w) - 5*v(w)?\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v + 56 = 7*v. Let y be (103 - 1) + v\/((-8)\/(-2)). Suppose p = 6*p - y. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 675 and 1944?\nAnswer: 48600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3316*m = -3761*m + 16465 for m.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 558*i**2 + 15*i + 21. What is the hundreds digit of g(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46835 rounded to the nearest 1000?\nAnswer: 47000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3496?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + h + 25 = 0. Suppose 2*v + 2*v + 94 = h*o, o - 18 = v. Does 12 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24191 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (90\/(-40))\/(1\/(-120))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 6:22 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - 9*y**2 + 128*y - 1563. Let t be i(11). Let p = 88 - -1. Let c = p - t. Solve -3*w - 12 = 3*v, -4*v + c*w + 0*w = 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58.22773 millilitres to litres.\nAnswer: 0.05822773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10 + -422)\/(-6) + 4\/2. Suppose 4*x - d - 55 = -0*d, 2*x = -5*d + 11. Let r = t - x. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/1)\/(18\/72). Let m be 4698\/(-918) + 4\/((-12)\/(-15)). Let c = -4 - -4.4. Put 4, c, l, m in decreasing order.\nAnswer: 4, c, m, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -461*x + 462*x - 23 + 103 + (-3*x - x + 2*x)*(-3 + 0 + 5) + 46 - 46 - 9*x - 5*x + 3*x + x.\nAnswer: -13*x + 80","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 3:11 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 3*k**5 - 69471*k**4 - 34115439*k**3 + 137225859*k**2 - 171827532*k + 68786580 = 0.\nAnswer: -485, 1, 2, 23638","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 70527296 a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*t + 9 = 2*x + 10*t, -6 = 4*x - 2*t for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 x when three letters picked without replacement from bxmbbmmkcbkbkbbggb?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + q = 3. Put -0.3, 2\/9, q in descending order.\nAnswer: 2\/9, -0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (351\/(-1170))\/(1\/((-10)\/12))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -42*i + 173. Let n be o(4). Let g(d) = d**2 - d. Let p(w) = 8*w**2 + 5*w. Give n*g(c) + p(c).\nAnswer: 13*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11881404 divided by 990117.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/(4 + -5) + 4*7. Suppose 0 = -2*i - 13 + z. Solve -15 - i = -5*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 6*v - 81. Let t(c) = 48*c + 21. Let l(h) = 7*h + 3. Let g(r) = v*l(r) - 4*t(r). Calculate the remainder when 47 is divided by g(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6886996001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-18)\/d**(-26))\/(d**(-9\/2)*d)**(2\/11) assuming d is positive.\nAnswer: d**(95\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqqqqqq. Give prob of picking 2 q.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*x = -70*x - 1344. Solve 0 = -49*k + x*k + 14 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -861*o*s*z + 20*o*z**4 - 93241*o*z**3 + 2*s*z**3 - 2*s*z**2 - 4356*z**2 wrt z.\nAnswer: 480*o*z - 559446*o + 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -3*o + 4*x, -12 = 3*o - 3*x - 24 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.69875 + -0.7. What is j rounded to 4 decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41054 by 31.\nAnswer: 41054\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -84*v + 84*v + 227*v**2 as o*v**2 + r*v + h and give o.\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 1 = -3*q, -z - q = -2*z + 3. Solve -t = z*x + 1, 0 = -2*x + x + 2 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 PM and 2:02 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2403218 divided by 911.\nAnswer: 2638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.81662688 rounded to zero decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 v when two letters picked without replacement from {p: 2, v: 1, o: 1, i: 3, x: 6}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 42724.76kg in tonnes?\nAnswer: 42.72476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -215, -4, 14.\nAnswer: -215, -4, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of 2\/21*o**3 + 1\/210*o**5 + 2*o**2 - 1\/28*o**4 + 0*o + 0. Factor k(u).\nAnswer: 2*(u - 2)*(u - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7444219 and 5.\nAnswer: -37221095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2. Let s(l) = -117684*l. Calculate d(s(y)).\nAnswer: -13849523856*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-1)*((-63)\/294 + (-8)\/28). Which is the third smallest value? (a) -6 (b) -9 (c) 0.1 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 10 = -18 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 1211285?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 0 + 17*d + 0 + 1 + 29*d. Is b(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3756, 3808, 3892, 4008, 4156, 4336?\n\"Answer: 16*z**2 + 4*z + 3736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 120432053 times 4\nAnswer: 481728212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 503781 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -59, 18, -4, 14, 1.3?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10032 divided by 209.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.07 in 2, -3, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 2657178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9 - (-26 + 8)\/(-3). Solve -4*o + 23 = 5*b, 6*o = 3*b + 3*o - j for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 168*p - 87*p - 93*p - 55. Let v be w(-6). Solve v + 8 = 5*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -502 + 30\/(-18)*-3. Let b = 728 + a. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 divided by 5594?\nAnswer: -7\/2797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*o - 11*o - b + 21226, o = 4*b + 4262. Suppose 109*m - 120*m = -o. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1946 by 18.\nAnswer: -973\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -2*i + 4*x, -i - 3*i - 5*x + 37 = 0. Let s be (-12)\/90*((3 - -8) + -1). Which is the closest to 0.4? (a) s (b) i (c) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/15 of a minute in seconds?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of -13*f**4\/6 - 3817*f. Let t(i) = 22*i. Determine t(r(b)).\nAnswer: -572*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4584375354.\nAnswer: 2, 3, 13, 83, 349, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (46 - (35 + -18))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -187 - -375\/2. Let v(a) be the second derivative of 1\/6*a**3 + 5\/12*a**4 + 1\/20*a**5 + 0 - t*a**2 - 5*a. What is v(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3 + 1592905*t**2 + 12743000*t + 25485840.\nAnswer: 5*(t + 4)**2*(t + 318573)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 4*j**2 - 3*j - 1. Let y be h(3). Let f = 565 - 279. What is the greatest common factor of y and f?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kd when two letters picked without replacement from dlk.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 124 - 88 = 0. Suppose -5*b + p - 8 = 0. Let w = 5 - b. Let h(f) = -f - 5. Determine h(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1615963 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6010480 to the nearest integer?\nAnswer: 2452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -86 - -50. Find the common denominator of (-142)\/h + (-9 - -5) and 149\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -58930000 to the nearest one million.\nAnswer: -59000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32445 + 20*k**2 + 28*k**2 + 32445.\nAnswer: 48*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a*a**(-1\/8))**2)**(2\/21))**(-36))**49 assuming a is positive.\nAnswer: a**(-294)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 74 by 1830.\nAnswer: 37\/915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 + 2*b - 1. Let q = 17 + -20. Let l be h(q). Put -3, 0, l in ascending order.\nAnswer: -3, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68728 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, s: 7, n: 6}. What is prob of sequence ns?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -590.8 - -582.742. Let t = -0.058 - o. Let a = t + -8.00004. What is a rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/3*c + 16\/9 + 10\/9*c**3 - 4*c**2.\nAnswer: 2*(c - 2)**2*(5*c + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*p + 15*p - 14 = v, 26 = 4*p + 5*v for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/9))**(1\/4)\/(z**(2\/27)\/(z**(-7\/2)*z)) assuming z is positive.\nAnswer: z**(-68\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.10622, -15.\nAnswer: -15, -5, 0.10622","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.29876345 rounded to two decimal places?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 95674323*h**3 - 104501369*h**2.\nAnswer: 574045938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86\/(-129)*(-9)\/(-6)*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 68486310 and 7290?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 3*q + 16 = 2*q, o - 3*q = 0. Let s be (-1)\/(-3) - (-106)\/o. Suppose -3*g + 0*w = 3*w - 18, 4*g + w - s = 0. Solve -8*b = -g*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/15486 and 97\/1218.\nAnswer: 108402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9333480 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, s: 4, g: 7}. Give prob of sequence sxxg.\nAnswer: 7\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of 5635*l**3\/3 - 23*l**2\/2 - 23*l + 8911. Find the second derivative of x(n) wrt n.\nAnswer: 11270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (26\/4)\/((-150)\/(-60))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 8:18 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12822 + 29099. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1939.311 to the nearest 100.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ovoovoovoov. Give prob of picking 1 o and 1 v.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*j**5 - 165*j**4 + 580*j**3 - 285*j**2 - 110*j = 0. What is j?\nAnswer: -11, -1\/4, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 511 - 92. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(132)*-4*3)\/(5*-4*sqrt(48)).\nAnswer: -3*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, k: 2, b: 3, u: 4, f: 2}. Give prob of sequence kw.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z + 87. Suppose 0 = 4*m - 0*m. Let o be d(m). Let u = o - 52. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 323*m**2 - 103 - 76 - 3*m - 1380*m**2 wrt m?\nAnswer: -2114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 7, -5\/3, -1, -1\/8?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 74097729\/7 or 10585390?\nAnswer: 10585390","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 5*j = -5, -8 = -5*u + 4*j + 15 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m**3 - 7*m**2 - 2 + 12*m**2 + 3*m + m - 7. Let o(l) = 4*l**3 - 7*l**2 - 6*l + 13. Determine -7*h(s) - 5*o(s).\nAnswer: s**3 + 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -3898 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 1. Let b be (2 + (-1)\/(-2))*(-6)\/(-5). Suppose 2 = b*j - 5*z + 8, 0 = 3*j + 2*z - 15. Solve 0*c - 3*c + 3*w - j = m, 3*c + w = 1 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 36? (a) 2.7 (b) -1\/4 (c) -2\/233 (d) -1 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 252 is divided by 85?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133 - 167 = 6*y - 336 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -230030404 (base 6) in base 12?\nAnswer: -14a8404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/3*1428\/3332\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 445 + 475 = 0 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -9\/5, 0.4, -5?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 1 - 3*q + 0)*(14 - 2 - 5).\nAnswer: -7*q - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 2, 2*y + 2*v - 14 = -0*v. Suppose y*t = t + 36. What is the smallest common multiple of t and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -37a2 - 386?\nAnswer: -3b68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 53\/((-212)\/(-7104))*(-2)\/3*-9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -80 (base 11) in base 6?\nAnswer: -224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 511146 and 5256?\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/35)*p*(p\/(p\/(p\/p**(3\/2)*p)))\/p)**1*(p**(-1))**(4\/9)\/((p*p\/p**0)\/p)**(3\/8) assuming p is positive.\nAnswer: p**(-949\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4589492 rounded to the nearest 100000?\nAnswer: -4600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2)*q**(-3))**(1\/10)\/((q**(-6)*q**(-4\/5))\/(q**(-1\/8)*q**(2\/3))) assuming q is positive.\nAnswer: q**(821\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-24)\/(-30))\/(((-12)\/(-4))\/3390)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2673422 to the nearest ten thousand.\nAnswer: 2670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*c**3 - 143*c**3 + 62*c**3.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/sqrt(7) + -5 + 5 + (-3*sqrt(3) - sqrt(3)).\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(140) - (4*sqrt(140) - sqrt(140) - sqrt(140)))\/sqrt(4))\/(sqrt(847)*-3).\nAnswer: sqrt(5)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, a: 9}. Give prob of picking 1 q and 2 a.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 16 + -1136?\nAnswer: -1120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8.2 - 9.2. Let w = 0.26 - 1.56. Let x = w - a. Round x to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 8:20 AM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (496\/48)\/(2\/(-6)). What is the tens digit of 15\/6*g*-2 + -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216821 is divided by 49.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of -16*m**3\/3 + 4*m - 14. Find the first derivative of g(q) wrt q.\nAnswer: -32*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 8 = -2*v, v - 4*o - 28 = -0*v. Let g = 55 - 251. Let p = -148 - g. Calculate the highest common divisor of v and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.628 + -0.372. Let h = 3.6 - 3. Let t = 0.6 - h. Which is the third smallest value? (a) -0.3 (b) k (c) 3\/8 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 35731, 71433, 107137, 142843, 178551, 214261?\n\"Answer: v**2 + 35699*v + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*d - 39112 = 29*d - 4*q, 6*d - 58656 = -3*q. What is the thousands digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -64.35 + 150.8. Let u = -80 + w. Round u to 0 dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40305.81us to nanoseconds.\nAnswer: 40305810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22.989 + 23.489. Which is the third smallest value? (a) -7 (b) -52 (c) -3 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 222 and 54?\nAnswer: 1998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2214 (base 5) to base 12.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 18 - 53. Let j(g) = -6*g + 4*g + 3*g - d. Let h be j(9). Sort 4, 5, h in increasing order.\nAnswer: h, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171562031 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/250756 and -139\/27060?\nAnswer: 3761340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*y + 130555 = 13*y + 563419. What is the hundreds digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 - 6*l - 5. Let u be r(-4). Let p be (6\/(-5))\/((-12)\/20). Let z(v) = -1. Let i(g) = g + 1. What is p*i(x) + u*z(x)?\nAnswer: 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9\/6)\/((-30)\/(-25)) + -2. Put 2\/17, 24, h in increasing order.\nAnswer: h, 2\/17, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 990\/(-58 + 80) - 5?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.4 - 0.1. Let i be 15\/5 + 4\/(-2). Let t = -4 - -4.5. What is the third smallest value in i, t, k?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 0.5. Let p = -2593 - -2593.1. Sort 63, 3\/7, p, x.\nAnswer: x, p, 3\/7, 63","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, z: 1, i: 2, u: 2, r: 1}. What is prob of picking 1 r, 2 k, and 1 z?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/((-16)\/10)*-4. Calculate the greatest common divisor of h and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32124427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112 = -v + 5*r, -3*v - 23815 + 23853 = 2*r for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of -8*w**7\/105 + 3*w**5\/10 + 24*w**2. What is the third derivative of z(y) wrt y?\nAnswer: -384*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 421680*y = 421737*y + 1653 for y.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 12*k + 360. Let u be p(-30). Solve -4*z = -20, z + 1 = 3*d - u*z for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(1377) + 4 - sqrt(1377))*5.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 5*j - 80 = 0. Let a(s) = 4*s - 26. Calculate the lowest common multiple of a(j) and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - 8) + (19 - 37) + 47?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4*(((5 + sqrt(468) + -1 + sqrt(468) - sqrt(468)) + sqrt(468))**2 - sqrt(468)*-2*6)*5 + 3).\nAnswer: -151052 - 13440*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f - 3. Let x(t) = t + 1. Let v = 2 + -4. Let w(n) = -n + 9. Let c be w(5). Suppose -7 = -c*p - 27. Determine p*x(y) + v*d(y).\nAnswer: -y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-7)*s)\/(s*s**(2\/13)*s))**(8\/9) assuming s is positive.\nAnswer: s**(-848\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, -22, -111, -290, -589, -1038, -1667, -2506?\nAnswer: -3585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jja when three letters picked without replacement from {d: 2, g: 3, j: 2, a: 2}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3543 is divided by 548?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.54 - -17.87. Let h = 21.303 - f. Round h to one decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 120, 472, 1074, 1938, 3076, 4500, 6222, 8254?\nAnswer: 10608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 11 = -6. Let a(z) be the third derivative of -7*z**4\/24 + z**3\/2 + z**2. What is the remainder when a(-9) is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 + 0.1. Let k = 15 + -15.4. Let m = 0.3 + 0.7. Which is the second biggest value? (a) k (b) u (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63401 = -51*j + 63911 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -215856 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 5626 divide 1320444467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -0.052?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/4*(2 + -1)*-2878 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -578 + 587. What is the greatest common factor of 33 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 m when three letters picked without replacement from {x: 2, g: 3, m: 3, j: 9, t: 1, a: 2}.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -22*h**3\/3 - 532*h**2\/9 - 32*h\/9 = 0.\nAnswer: -8, -2\/33, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30510*d + 294 = 30531*d for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1\/4, 1\/5, 1\/2 in decreasing order.\nAnswer: 1\/2, 1\/4, 1\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j**2\/7 - 228*j\/7 + 234\/7 = 0. What is j?\nAnswer: -39, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(2\/18)*((-136)\/(-17))\/(-8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29 + 33. Sort -3, 5, 0, b in increasing order.\nAnswer: -3, 0, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rzrrrzz. Give prob of sequence rz.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -72 divided by -131?\nAnswer: 72\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 270953 is divided by 270485.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -2d4?\nAnswer: -2d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8\/(-3))\/((-3)\/9). Let y(f) = -1 - 2*f - 4*f + i*f - 3*f**2. Suppose -4 = -2*a - 2. Calculate y(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = 2*h - 12, -7*k + 17*h = 19*h - 84 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9768806?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 265960, 265847, 265658, 265393, 265052?\nAnswer: 264635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-19020)\/(-18))\/(-5)*(-30)\/5. Suppose -36 + b = 11*j. What is the lowest common multiple of j and 14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 - 17*q + 15. Is 31 a factor of c(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a centimeter in micrometers?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 553607 or 553618?\nAnswer: 553618","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -4 - 1 - (15 + -9 + -18).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -j - 3, 4*z + 8*j = 6*j for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1861064 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: Put 1, -954, 4, -63 in decreasing order.\nAnswer: 4, 1, -63, -954","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468)\/(sqrt(972) + sqrt(972)*-1 + sqrt(972)))\/(sqrt(24)\/sqrt(72)*-4))**2.\nAnswer: 13\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 6 + 4 - z**3 + 5 - 26 - 22*z**2 + 57*z. Is p(-27) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -45770560940302 and -0.21.\nAnswer: -45770560940302.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/(-315) + 8\/(-28)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, 1, -4, -0.1, 6.57?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -4*j - 5. Calculate the remainder when 31 is divided by i(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000101 + 1?\nAnswer: -1000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 11:09 AM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 4*i - 3*i)*(3 - 3 + 1) - i + i - i + (1 + 2 - 2)*(0 - i + 0).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 173311743 and 3734.\nAnswer: 1867","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*d - 6 - 2 + 10 + 1.\nAnswer: 10*d + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.05 and 0.84.\nAnswer: 0.042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**2 - 7*w - 1. Let b be g(-3). Factor -2*p**3 - 3*p**3 - 5*p**4 + 5*p**5 + 30*p**b - 25*p**2.\nAnswer: 5*p**2*(p - 1)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9119034003 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 1283*v**2 - 67*v + 5. Let y(o) = -1924*o**2 + 107*o - 8. Calculate 8*w(j) + 5*y(j).\nAnswer: 644*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 915 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 224, 207659, 1, -1, -2 in ascending order.\nAnswer: -5, -2, -1, 1, 224, 207659","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-2)*(-20)\/(-30). Let a(x) be the second derivative of -x**4\/6 + x**3\/3 - x**2 + x. Let p(r) = -4*r**2 + 5*r - 5. What is q*p(z) + 5*a(z)?\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = -4*s - 2, -w = 4*w - 10 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2721 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -81463772*k. Let d(q) = q. Calculate h(d(o)).\nAnswer: -81463772*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -7. Let n = o + 8. Solve -n*y = -4*p + 8*p, -4*y = -16 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((24\/98)\/(-6))\/((-8)\/(-14))\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29408?\nAnswer: 2, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4*0.0804\nAnswer: 0.3216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18\/(-4)*2\/(-3). Suppose -4*a + 4 = -0. Let x = n - a. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2291422788?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 - 19*p - 14. Calculate d(-9).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 8*h**2 - 7*h + 20. Let p be w(-9). What are the prime factors of 1\/p + (-2321)\/(-22)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 4*j**3 + 6*j - 2 - 5*j as o*j + r + h*j**2 + z*j**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 220*h + 305*h + h**2 - 1 - 1 - 772*h in the form d + f*h + z*h**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n + 1. Let j(k) be the first derivative of 1 - 12 - 8 + 2*k**2 - 2*k. Calculate 2*j(s) + 6*y(s).\nAnswer: 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21154296 and 1597464?\nAnswer: 698091768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -12946, -2794, 14126, 37814, 68270?\n\"Answer: 3384*h**2 - 16330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 65, 1, 3, -1, 2, 167, 4.\nAnswer: -1, 1, 2, 3, 4, 65, 167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/14)\/(16\/(-40))*50778\/(-4030).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1473*d + 492*d + 714*d.\nAnswer: -267*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 22 = -5*n + 20 - 75 + 23, 14*n = 4*w - 28 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 324101781 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q**4 - 186*q**3 - 1800*q**2 = 0 for q.\nAnswer: -50, -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 4*z + 136, -3*z = -2*h - 207 + 43. Let r = h - -128. Let k = -42 + r. Solve 3*t - k = 8*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c + 11*c + 14*c.\nAnswer: 22*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/4 - 723931*l**2\/4 - 32754665306*l + 32754846289.\nAnswer: -(l - 1)*(l + 361966)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 947 - 594. Let z = l + -96. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26 + 113. What is the second derivative of q**2 + 105*q**3 - q + k - 17*q**4 - 105*q**3 wrt q?\nAnswer: -204*q**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15\/14, 1\/2, 2 in decreasing order.\nAnswer: 2, 15\/14, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*g + 12 = 27*g. Let l be (3\/12)\/((-33)\/g + -3). Let b(v) = 7*v - 1. Give b(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5, 50, 137, 272, 461, 710, 1025?\n\"Answer: b**3 + 15*b**2 - 7*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 749 - -131. Is 11 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-9) - (-35)\/3. Suppose -10*n = -h*n. Let j(z) = -3 - 2*z - z + 7 + n*z. Give j(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 32\/20*(2 + 3). List the prime factors of i*(-2)\/(-120) + (-2368)\/(-15).\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1187890?\nAnswer: 2, 5, 11, 10799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11966*g - 1663743 = -12037*g. Calculate the remainder when g is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**2 - 3*t**2 + 6*t**2)*(3 + 3 - 2) + 2*t**2 - 3*t**2 - t**2 - 15*t + 5*t**2 + 15*t.\nAnswer: 11*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 324*m + 44*m + 156*m.\nAnswer: 524*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -86249, -172489, -258729, -344969?\nAnswer: -431209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -1\/283 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -3*p - 1. Let l(d) = -9*d - 2. Let b(q) = -9*q - 2. Let r(s) = -3*b(s) + 4*l(s). Suppose 36 = 11*t + 3. Determine t*r(f) - 8*n(f).\nAnswer: -3*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 3*(-2 + 4*(-3*(-2 + sqrt(1088)) - (sqrt(1088)*-1*6 - sqrt(1088))))**2*-5.\nAnswer: -4185176 - 84480*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 69593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 0 = -2*k - 18, -2*c + 10 = 0. Let f = k - 29. Let g = 17 - f. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -111.24 + 111.3. What is the closest to y in -0.3, 1, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73 = -3*b - 5*t + 41, 2*b - 9 = t for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-37)\/7 - 24\/(-84).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/4))**9)**(1\/9) assuming d is positive.\nAnswer: d**(1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 divided by -181?\nAnswer: 49\/181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -566601 + -158?\nAnswer: -566759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 5*d - 64, 4*l + 52 = -0*l - 2*d. Let c(g) = -6*g - 13. Is c(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2052 - ((8 - 6) + 13).\nAnswer: 3, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4, 5, 6, 7?\n\"Answer: c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 6:37 AM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02090603 rounded to three dps?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1.339554 millilitres?\nAnswer: 0.001339554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31607 (base 14) to base 12.\nAnswer: -58b73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5*d - 3 - 15 = 0, 2*c - 3*d - 15 = 0. What is the first derivative of -1 + a**3 - 3 + c wrt a?\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0009980558 to 7 dps.\nAnswer: -0.0009981","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3473 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of k**4\/12 + 20*k. Let i(s) = 5*s**2. Give p(i(x)).\nAnswer: 25*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7777*k - 1529 = 7503*k + 4225 for k.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16495 = 978*z - 3065 for z.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 189 a factor of 29231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5381.91 rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-27))\/((55\/(-105))\/11)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 408 - 2979*y**4 - 10*y**3 + 2973*y**4 - 14*y**3 wrt y.\nAnswer: -24*y**3 - 72*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 123?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 23 = -5*w, 3*q = w + 50 - 55 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g + 13. Let c be d(10). Solve -2*y + k = -4, -5*y = -c*y + 4*k + 16 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -100, 4, -4.\nAnswer: -100, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2376920?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/1950 and -83\/1638?\nAnswer: 40950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5336536 and 310253.\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 24\/(-20) + 2\/(-1)*-1. Which is smaller: s or 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 421 = -2*b + 773. What is the lowest common multiple of 20 and b?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 10*y**2. Let b(x) = 3*x**2 - 5*x**2 + 9*x - 9*x. Determine s(b(j)).\nAnswer: 40*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -4 (c) 1831 (d) 0.4 (e) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-148)\/1184)\/((-42)\/19824).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.3817 rounded to 1 dp?\nAnswer: 32.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 22 - 2*y**3 + 0*y**3 + y**3 - 24 - 2*y + 16*y**2 - 3*y**3 as o*y + m*y**3 + s*y**2 + r and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -36 and 0.042.\nAnswer: -1.512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 714.29 + 14.71. Let r = n + 437. Let d = r - 1165.9449. Round d to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -675*i + 9163. Give f(10).\nAnswer: 2413","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 60 + -41. Solve -k = -4*z - 7 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1945 by 12837.\nAnswer: -5\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 11*o + 0 - 9*o - 7. Let z be j(5). Suppose z*t - 98 = -14. Solve 0 = -2*s + 4*v - 2*v - 4, 0 = 5*s + 4*v + t for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 4*l = 2*x + 10, -3*l = 3. Suppose 3*y - 4*i = 239, 4*y - x*i = 215 + 92. Suppose -2*h + y = 5*b, 0*b + h = -4*b + 56. List the prime factors of b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of y**4\/16 - 44*y**3\/3 + 968*y**2 - 798. Determine g so that z(g) = 0.\nAnswer: 0, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of h**3\/3 + 3*h**2\/2 - 8*h + 1. Suppose -27 + 6 = 2*i - 3*a, -2*a + 18 = -2*i. List the prime factors of v(i).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of -w**4\/4 + w**3\/3 + w**2\/2 + 2*w + 22. What is the second derivative of k(m) wrt m?\nAnswer: -6*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7431 - 4971337\/669. Which is the closest to 0.3? (a) g (b) 2\/5 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 706.1292km?\nAnswer: 706129200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2871 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7 - 16 - -162175) + -19 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddvrvdrvrq. What is prob of sequence vrq?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 4*t = 328. Let p = t - -220. List the prime factors of p.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 + 22 = 3*s for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + (-1 - (9 + -15 + 10 - 1)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-45)\/(-3))\/(4\/(960 + -4)). Suppose 3*i = -3*v + j, -2*i - 2394 = -4*i - 4*v. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*m + 88*m = 14. Solve -12 = -m*o + 4*a - 0*a, -5*a = 3*o + 37 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22024 is divided by 2429.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-2124)\/(-1))\/(-49 + 50).\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 376*o + 18041. Determine j(-48).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -42 - -64. Which is the third biggest value? (a) d (b) -4\/7 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5903585?\nAnswer: 5, 19, 62143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/32*-2)\/(4 + 135\/(-40)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -46 from -26566.429455.\nAnswer: -26520.429455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1031, 2231, 3431?\n\"Answer: 1200*l - 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -4*x - 5. Let u be o(-3). Let r(h) = 11*h + u*h + 6*h**3 + 18 - 7*h**3 + 17*h**2. What is the lowest common multiple of r(18) and 22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of 0*s**5 + 17\/3*s**6 + 47 + 0*s + 0*s**4 - s**2 + 0*s**3. Find the second derivative of u(f) wrt f.\nAnswer: 680*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/4)\/(1\/32). Let l = -11 - i. Solve -l*j = 4*x - 9*x + 15, -j = -2*x + 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine fifths of a litre in millilitres?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 63840 and 466830.\nAnswer: 7469280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 633687 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29584*r = -26954*r + 215660 for r.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7372658, -14745315, -22117972, -29490629?\nAnswer: -36863286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(152)\/(-2*sqrt(4)) - sqrt(38))*-3)\/((sqrt(8)\/sqrt(4)*5 + sqrt(2))*4).\nAnswer: -3*sqrt(19)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 0*d - 2*d + 8*d + 6*d. Let k(l) = -l**2. Give z(k(r)).\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8200 by -8.\nAnswer: 1025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 219 and 292.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -37, 2, 5, 11, 4, -4 in descending order.\nAnswer: 11, 5, 4, 2, -4, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -34 - 45031122?\nAnswer: -45031200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2293 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 - -17. Suppose 0 = -5*i + 5*m - 45, y*i - 3*i - m = 19. What is the tens digit of 12\/i*3248\/(-32)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4584, 9, -2, -5 in ascending order.\nAnswer: -5, -2, -1, 9, 4584","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3071 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3841 = 3839. Solve -s*a - n - 1 = 0, 4*n = -4*a + 8*n + 16 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3*v. Let k be (-6)\/(-4) + 5\/10. Let i(y) = y**2 + 0*y**2 + 0*y**k - 3*y**2. Give b(i(z)).\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 - 23*c - 17 - 20 - 3*c.\nAnswer: -26*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*k*s**2 + 2*k*s + 30775*k + 3*s**2 + 298*s wrt s?\nAnswer: 4*k*s + 2*k + 6*s + 298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r**2 - r - 152*r**2 - 322 + 324 as h*r + i*r**2 + s and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 PM and 7:37 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -65\/12, 4, -5286\/59?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56\/(-90) + (-12)\/(-30)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12\/13 + -86\/65. Let a = -29 + 19.3. Let q = a - 3.3. What is the second biggest value in 3\/5, u, q?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/f**5))**(-44)\/((f\/(f**(5\/4)*f))\/(f*f*f**(-3)\/f)) assuming f is positive.\nAnswer: f**(-883\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -66.1 * -26031.\nAnswer: 1720649.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - 7*l**2 - 6*l - 12. Let n be b(-7). Let t be (3\/(-5))\/(87\/n - 3). What is the tens digit of (-2)\/t - 1048\/(-36)*3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 11*p = 17 - 24, -5*x = -5*p + 15 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of -1252*l**5\/5 - l**4 - 5013*l + 2454. What is the derivative of a(w) wrt w?\nAnswer: -5008*w**3 - 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 4*z + 0 + 24 = -0*z - 8, 4*x = -2*z + 16 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 34657760 divided by 568160?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3795?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/220)\/(6*(-1)\/(-180)).\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1373420927 and -0.2.\nAnswer: 1373420926.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((-4 + sqrt(1216)*-4)*-2 + sqrt(1216) + 0 + 4*sqrt(1216) + 1))**2 + -1.\nAnswer: 1872*sqrt(19) + 205584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 30 - 3?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/3 - (-39)\/9. Sort v, 4\/5, -0.04 in decreasing order.\nAnswer: v, 4\/5, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 579464591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - u + 73*u**2 + 3*u**3 + 401*u**4 - 400*u**4 - 2*u**3 to the form l + k*u + m*u**3 + i*u**4 + f*u**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0 + (0 + 0 + 2)*(-3 + 5 - 5))*(-1992*g**2 + 881*g**2 + 993*g**2).\nAnswer: 826*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*q + 84 + 193 = -23 for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c**2. Let s(q) = 671*q**2 - 594*q**2 + 950*q**2 - 3527*q**2 - 3035*q**2. What is s(r(y))?\nAnswer: -22140*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of 0 + f**2 + 1\/3*f**4 + 3\/2*f**3 - 3*f. Let x(s) = 0. What is s?\nAnswer: -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4033 - -3310?\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3*o**2 - 2 + 5*o**3 - 2 + 6. Let a(y) = 89*y - 799. Let s be a(9). Let x(j) = 0*j**3 + 0*j**2 + j**2 - j**3 - 1. What is s*x(f) + l(f)?\nAnswer: 3*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23379\/136 + 3018\/17. Let v(x) be the second derivative of 5\/4*x**3 + i*x**2 + 5\/48*x**4 - 8*x + 0. Determine m so that v(m) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/2 - 7*h**2\/2.\nAnswer: -h**2*(h + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.31 in -0.02, 0.5, -0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/8)\/(6\/96*-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -2\/21, -25, 2\/5, -706, 0.8, 3?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of -114*1120\/(-24) + 0 + 0\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 439 = 2144. Let m = j - 326. Calculate the greatest common factor of m and 387.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*x - 34. Let z = -5 + 9. Let n = x - z. Solve -4*g - n = 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 366088167 is divided by 6395?\nAnswer: 6392","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/2 + (-4)\/(-24). Let d = -496 + 326. Let h be 37\/d + (-159)\/(-51) + -3. What is the nearest to 1 in h, o, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rdgrrgbrdbgrrrrjbrg. What is prob of picking 2 g and 1 d?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20915756?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 552560?\nAnswer: 552559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -994*x**3\/3 - 3*x**2\/2 + 35*x - 417. What is the second derivative of w(g) wrt g?\nAnswer: -1988","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -m - 6 + 15, -4*b + m - 39 = 0. Let c = 15 + b. Suppose 0*h + 25 = c*h. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -3*j**4 - 67071*j**3 - 374574477*j**2 + 3379021731*j + 13506424812 = 0.\nAnswer: -11183, -3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -3*k + 2, -5*k + 13 = -74*w + 288 + 75 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 u when four letters picked without replacement from {e: 17, u: 3}.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/42 and -101\/54?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6646 - -6694. Calculate the lowest common multiple of 432 and v.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -0.5 (b) 125 (c) -1755 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (153\/18)\/((-4)\/10*(-20)\/(-16))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3011*y - 32487 = 48397 + 75688 for y.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**3 + 3774*p**2 - 15060*p + 15048.\nAnswer: -3*(p - 1254)*(p - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c**2 + 29*c - 151*c + c**2 + 122*c.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 104.\nAnswer: -416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8347 = -j - 2928. Let o = j + -1776. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3924 - -3970. What is the greatest common factor of 3013 and x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000004486 rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 218\/(-8)*(-1 + -3). Suppose 0 = 6*w - 59 - p. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 425 - 423. Let u be (-407)\/(-143) + k\/13. Solve -2*x + 6 = -3*i, -u*i - 1 = -3*x + 2 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000012548 rounded to seven dps?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -806*q**4 - 2*q + 0*q + 809*q**4 - 3*q**3 - 2*q**2 as j*q**3 + p*q + c*q**2 + z*q**4 + n and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8617\/6540 - 4\/6. Let b = 11\/109 - u. Let f = 9535\/1218 - -46\/87. Calculate the common denominator of f and b.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 142 = 4*w, -453 = 2*u + u - 3*w. Let q = -454\/3 - u. Let a(b) = b**3 + 6*b**2 + 6*b. Let j be a(-5). Sort -0.3, q, j in descending order.\nAnswer: q, -0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -402*j + 715*j - 327*j - 2. Determine g(1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-14) + (-181)\/(-1267). Let q = -5\/56 + 3\/8. Factor -4\/7*w + h + q*w**2.\nAnswer: 2*(w - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009507 rounded to four decimal places?\nAnswer: -0.0095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 - 1)*(2 + 267*b**2 - 267*b**2 - 3*b + 17*b**3).\nAnswer: -85*b**3 + 15*b - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.3, -0.4, -3825, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4405486.9 rounded to the nearest 1000?\nAnswer: -4405000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*(0 + -3 - -2). Let c(y) = 2*y**2 - y**2 - y**i + 4*y - 7 + 2*y**2. Let u be c(3). Solve -z = -4*p + 15, -4*z = -0*z - u*p + 27 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**0)**3)**(-21)*(l**(2\/3))**(2\/21)\/((((l*l**3)\/l)\/l)\/(((l\/((l\/(l**(-6)\/l*l))\/l))\/l)\/l)) assuming l is positive.\nAnswer: l**(-563\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*v**5 - 10*v**3 + 20*v**2 + 3*v wrt v?\nAnswer: 120*v**2 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 d when two letters picked without replacement from {c: 1, a: 3, p: 1, d: 3, l: 2, y: 5}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 - -29. Suppose -51 = 9*r - v*r. Is r a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n**2 - 11316*n + 1945553. Calculate y(167).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 6323100 to the nearest 100000.\nAnswer: 6300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -100*i + 1913. What is the remainder when q(12) is divided by 51?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -x + 5*p, 4*x - 23 = p + 4*p. Calculate the lowest common multiple of x and 160\/(-100)*5 + 43 + 1.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 9:46 AM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2474372*l - 7423110. Determine v(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83 = -10*g - 83 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c. Let h(f) = 9515799*f. What is h(n(b))?\nAnswer: 9515799*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -70624, -140417, -210210, -280003, -349796, -419589?\nAnswer: -489382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 27 = -5*b. Suppose -2*f = -b + 3. Suppose 5*u + 81 = h, -f*h = -2*h - 2*u - 81. What is the greatest common factor of h and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*q - 16*q + 12*q**2 + 7*q**2)*(-2*q**2 + 2*q**2 - q**3 + (-q**3 + q**3 + q**3)*(-3 + 2 + 0) - 6*q**3 + 4*q**3 + q**3).\nAnswer: -57*q**5 + 3*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12916 + 12873. Suppose -k - 39 = 2*i, 5*k + 63 = -2*i - 148. Is j equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppgpgppgpp. What is prob of sequence gpp?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -7a9?\nAnswer: -7a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -3*x**2 + 7*x. Suppose -y - 2*p + 0 = 9, 10 = -y - 3*p. Let b(q) = -2*q**2 + 5*q. Let r be (-10*1)\/((-2)\/1). Let a(j) = r*i(j) + y*b(j). Factor a(o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 1170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 3\/767, -1, 0.04, 4\/3 in descending order.\nAnswer: 3, 4\/3, 0.04, 3\/767, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 39*d**2 + d. Let k be u(-1). Suppose 11*a = 7*a + 200. Let r = k + a. Calculate the highest common divisor of 11 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 5*b + 12. Let i be (2 - (-44)\/b)\/(12\/108). Is (i\/(-5))\/(19\/190) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3090 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 p when four letters picked without replacement from {p: 2, n: 4}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = p - 68. Let q be (-2)\/1 + (-5)\/2*-2. Let x be (q - 7) + (-15 - 3\/(-1)). Which is greater: p or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38 + 5 + 4 - 13*y)*(0*y**2 - y**3 + 0*y**2).\nAnswer: 13*y**4 - 47*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 1930*y + 6755*y - 990*y - 454*y in the form l*y + t and give l.\nAnswer: 7241","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10028 divided by -46.\nAnswer: -218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of -2*h**5\/5 - 23*h**3\/3 + h**2\/2 + 56*h - 40. Find the second derivative of c(o) wrt o.\nAnswer: -24*o**2 - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g - 13. Let q be f(9). Let c = -4007 + 3986. What is the nearest to 1\/2 in -0.5, q, c?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-149)\/5 - (-4)\/(-20). Let s be (24\/i)\/(1\/5). What is the least common multiple of 5 and -1 - 14*2\/s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3076113697 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26367248 or -26367249?\nAnswer: -26367249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2.1098 * -15\nAnswer: -31.647","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 3 - 6 - 8*c + 5 - 2. Let z(g) = -29*g**2. Determine z(w(y)).\nAnswer: -1856*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 24481303\nAnswer: -24481303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 11:47 PM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3254, -3252, -3250?\n\"Answer: 2*a - 3256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 915362?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does -789 = -800?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1241?\nAnswer: 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -2*j. Suppose -3*c + j = -3. Suppose f + n = c, 4 - 1 = -n. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -585 by -117.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(3*-1) + -4. Let s be (-12)\/(v - -2) + -2. Suppose 0 = -s*c - 2 + 18. Is c a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 420*i + 25183 - 19625 + 31864 = -1659*i for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 5:19 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of o**9\/1890 + o**5\/8 - 4*o**4\/3 + 12*o. Let a(x) be the third derivative of q(x). Differentiate a(f) wrt f.\nAnswer: 32*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (252\/(-72))\/((-22)\/44)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1\/6 (b) 0 (c) -5 (d) 286\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98 - 24242716*h**3 - 549 + 24242718*h**3.\nAnswer: 2*h**3 - 451","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -831, -2\/183?\nAnswer: -831","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -2*h + 3*b, -2*b - 3 = 2*h - 1. What is the remainder when h + 10 - 48\/(-2) is divided by -2 - -19 - 0 - 0?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-32)\/(-12) - (-2)\/(-3). Suppose h*r - 4*r + 3*o + 206 = 0, 3*o + 106 = r. Round r to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0.02, -3\/4, -3, 8.\nAnswer: -3, -3\/4, -0.4, 0.02, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3*s**2 + 2*s - 9. Let g(q) = 9*q**2 + 5*q - 25. Let v(o) = 4*g(o) - 11*l(o). Suppose 2*i + 4*y = -0*i + 2, 2*i + 2*y = 0. Calculate v(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i**3 - i. Let g be h(-1). What is the second derivative of 0*l**g + 2*l + 2*l**3 - l**3 wrt l?\nAnswer: 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, c: 2, g: 4, m: 3}. Give prob of picking 2 g.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -109, -219, -335, -463, -609, -779, -979?\nAnswer: -1215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3*f + 32 = 0, 5*m + 65 - 169 = f. Suppose 4*w - 45 = -c + 5, -5*c + w = -145. What is the least common multiple of m and c?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -51730271068.37 and 8.\nAnswer: -51730271060.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.45 + 0.05. Let a = 176\/7 + -25. What is the closest to -0.1 in w, a, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 1 + 0 - j + 3*j**2 - 22*j. Let q be y(13). Suppose 11*p - 429 - q = 0. List the prime factors of p.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -37877*d. Let a(m) = -4*m. Give a(j(l)).\nAnswer: 151508*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -7986*0.3\nAnswer: -2395.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7832174)\/(-21)*3\/2. Let c = b + -261441. Round c to the nearest 10000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 378 and 210.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 74*m - 69*m. Solve 2*p - 5*h = -29, -p - 26 = m*p - 4*h for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -93, -507, -1511, -3351, -6273, -10523, -16347?\nAnswer: -23991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -1\/7 (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of -5*i + 76 - 29\/2*i**2. Find the first derivative of y(p) wrt p.\nAnswer: -29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 7303.604 centuries?\nAnswer: 73036.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 446.6 - 411. Let j = 36 - p. What is the second biggest value in -0.6, j, 2\/17, -2\/3?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express i**2 + 2*i**2 + 1404*i - 1381*i in the form s*i + c + w*i**2 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 231 or 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 1215*b**4 - 314325*b**3 + 220755*b**2 - 42575*b + 1290 = 0. What is b?\nAnswer: 1\/27, 1\/3, 258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 + -8. Let k be ((-8)\/z)\/(30\/27). Suppose 0 = -0*n - n. Which is greater: n or k?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 9:38 AM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a tonne in kilograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z**2. Let n = 0 + 2. Suppose 4*o - 2 = -3*w, 0 = -5*o - 7 + 2. Let s(a) = -3*a**2 - 2*a**2 + 5 + 0*a**w + 6*a**n. Determine f(s(v)).\nAnswer: 2*v**4 + 20*v**2 + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -213 + 214. Is 3\/8 at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-54)*(-1426)\/(-21390).\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*i = -117*i + 2*z + 2, -5*z = 2*i + 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {b: 4, m: 10}?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2986759 and 2?\nAnswer: 5973518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -56228 + 3*r**2 + 56228 - r**2. Let l(q) = -5*q + 6. What is l(n(u))?\nAnswer: -10*u**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hqjqqhhjwwh. Give prob of picking 2 h and 2 j.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147147365.\nAnswer: 5, 47, 626159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20 - 240?\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 596*n**2 + 1 - 283*n**2 - 319*n**2 + 2*n + 12*n in the form q + k*n**2 + c*n and give c.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 915133585?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + -2 + sqrt(5))*3*-5.\nAnswer: -75 + 75*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 238347378937\/594584145008 - -115\/5464526. Let u = v - -7\/7772. Calculate the common denominator of 23\/64 and u.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/126*9\/(-9)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -19 and -22.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*34.\nAnswer: -408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15\/(-12) - (-2)\/8. Let o(q) = 25 + 31 - 2*q - 84 + 28. Determine o(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.4, -49, -1\/6, 0.5 in increasing order.\nAnswer: -49, -1, -0.4, -1\/6, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 3*m + 163 = 0, -d - d = -3*m - 89. Let t = -34 + d. Is -3*(-38)\/t + 4 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (108185 - 220896 + l + 109727)*(5 + 0 - 4) in the form d*l + f and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2709965 is divided by 26568?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18651 or -18652?\nAnswer: -18652","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 10, o = 2*j + 40 + 115. Let b = j - -189. Let t be (-2)\/12 + b\/252. What is the third biggest value in -0.4, -0.1, t?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -275140.313 to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -16*b - 2. Let y be z(-2). Suppose -y - 20 = -g. Is 25 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1543558 millilitres in litres?\nAnswer: 0.0001543558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 5 = -7*v. Let r be (14\/(-28))\/(v\/(-10)). Let f = 2 - 1. Solve 21 = -r*h + f for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 716323552.7 rounded to the nearest one hundred thousand?\nAnswer: 716300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*x + 5*f - 47, -13*x + 5*f + 69 + 199 = 0 for x.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**5\/3 - 17*p**4 - 219*p**3 - 509*p**2\/3 + 406*p = 0.\nAnswer: -29, -21, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 205306?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 82\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 5*u**2)*(-5 + 5 - 2).\nAnswer: -10*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9570 and 320?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4363363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(30\/(-6))\/5*34\/(-85).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**3 + 3*h**2 + 0*h + 1 - 1 + 2039*h**4 - 2043*h**4 + 2*h to the form z*h**2 + s*h**3 + j*h + o + n*h**4 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-21)*(d*d*d**(-35))\/d*d**(3\/2)\/(d\/(d*d*d**16)) assuming d is positive.\nAnswer: d**(-73\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 195276?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 3364.9 to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of -v**9\/7560 - v**5\/12 + v**4\/4 + 15*v**2. Let t(l) be the second derivative of f(l). What is the derivative of t(z) wrt z?\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72488258 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 + g. Let o(c) = 219*c**2 + 3*c - 3. Calculate -3*m(x) + o(x).\nAnswer: 216*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 122640 (base 7) in base 14?\nAnswer: 8357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(130\/4))\/((-340)\/2210)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21526746386 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5974, -23902, -53782, -95614, -149398, -215134?\nAnswer: -292822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5*r = i - 60, -4*i + 180 = 3*r. Is 6 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -67? (a) -0.5 (b) 6 (c) 0.2 (d) -1164\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7405?\nAnswer: 5, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.772591 litres in millilitres?\nAnswer: 772.591","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -73517783045 + 164\nAnswer: -73517782881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 + 11*a + 11. Let b be l(10). Suppose -12*g = -b*g + 108. Let y = 30 - -76. What is the lowest common multiple of y and g?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-492810)\/(-8) - -3)\/(-10). Let q = -6160 - b. What is the common denominator of q and 1211\/392 + 4\/14?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -70897844007 + 70897843593.99999587. Let m = -413 - c. What is m rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 8.5. Let j be 140\/(-21) + 0 - -6. Which is the nearest to j? (a) 1 (b) y (c) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -11, 5, 1, 8, 3, 918 in ascending order.\nAnswer: -11, -5, 1, 3, 5, 8, 918","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 34 - 34 - 4\/18. Suppose -42 = -26*i + 5*i. Which is the closest to i? (a) -1\/7 (b) -7 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-q + 0*q + 4*q)*(1 - 2 + 2)*(4 - 6 + 3)*(2 + 2 - 5) in the form h + o*q and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*z - 23152 + 117952. What is z rounded to the nearest one thousand?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 22 = 5*v, 3*v - 6 + 0 = 3*o. Suppose -12 = a - 5*k, -3*a + v = -a + 4*k. Which is greater: -5\/2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20564 and 1940?\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hr when two letters picked without replacement from {h: 5, r: 1, q: 3}.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = a - 8, -2*a = -s + 8. Suppose 5*v - 30 = 5*x, s*v + 3*v + 3*x = 12. What is the third derivative of -33*b**2 + 40*b**2 + 22*b**v - b**5 wrt b?\nAnswer: 1260*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -3*t**2 + 135*t + 138 = 0.\nAnswer: -1, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1798717 to the nearest integer?\nAnswer: 1341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 391?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.0889662 microseconds to weeks.\nAnswer: 0.0000000000249486875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -142 - -138.32. Let g = -1.68 - x. Let r be 2 - 27\/(-12)*-1. Is r at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 671993?\nAnswer: 7, 17, 5647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/k**(3\/2)*k\/((k**(-3\/7)\/k*k)\/k) assuming k is positive.\nAnswer: k**(27\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9450 and 9450.\nAnswer: 9450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3*t - 7. Let x be d(10). What is the first derivative of -53*b**2 + 36 - 20*b - 3*b + x*b wrt b?\nAnswer: -106*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -618100 to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -24\/13 in -3\/35, -5\/4, 0.2, -1\/2, 3?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 487 - ba1?\nAnswer: -716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f = -3*f - 7*u + 29, 0 = 2*f + 4*u - 24 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -13*f**2 - 42*f - 17. Let c(x) = -2*x**2 - 7*x - 3. Let t(q) = -34*c(q) + 6*r(q). Find the second derivative of t(g) wrt g.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-318 - -337) + (17 - (-2 + 2))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**2 - 6*h + 18. What is b(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((24\/(-42))\/(2\/(-5)))\/(1611\/(-22554))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -17\/3, -774\/209, -0.07 in ascending order.\nAnswer: -17\/3, -774\/209, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4980 + 4984. Solve 0 = -n*t + 4*i + 4, t + 5*i + 20 = -3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5255 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.23 + 0.17. Let y = -38.8 + 6.8. Let m = y - -31.9. Which is the nearest to m? (a) -0.05 (b) l (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -360, -102, 4, -62, -3 in descending order.\nAnswer: 4, 0, -3, -4, -62, -102, -360","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 5 = -u - 4, 0 = 3*u - 2*v + 7. Calculate the remainder when 2 - (-24 + u - 2) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 7*c**2 - 117*c + 361. Calculate a(7).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 6*s**5 + 2*s**4 + 2*s**3 - 3*s**2 + 2*s + 1. Let j(p) = p**5 + p**4 - p**2 + p. Let k(a) = -5*j(a) + y(a). Factor k(q).\nAnswer: (q - 1)**4*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 26*s + 1. Let a be v(-2). Find the common denominator of a\/(-9)*(-3)\/8 and 53\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2299?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -44*i**2 - 1112*i - 298. What is o(-25)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6 - 5)*15\/(9\/3). Let i = 9 + -119\/13. Which is the third smallest value? (a) f (b) i (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 51\/5*12 - 1. Let q = 121 - h. Let y(a) = -a - 1. Let j be y(-1). What is the nearest to q in 1\/3, j, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*m**3\/7 - 23*m**2\/7 + 4*m\/7 = 0. What is m?\nAnswer: -4, 0, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -138 + 138.144. Round k to two dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -2. Let v be (j*12\/56)\/(6\/8). Which is the nearest to v? (a) -2 (b) -2\/7 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -2. Let j be -1 - w - (-1 + -1). Suppose -2*z = -z + 5. Sort z, j, 1 in increasing order.\nAnswer: z, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 26080, 2\/13, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-56)\/(-70))\/(2\/(-9 + -1)). Let a be (-1)\/((-3)\/(-54)*3). Let z be (a\/(-4))\/(1\/(-3)). Are w and z nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 257, -1\/6, 3 in decreasing order.\nAnswer: 257, 3, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 1, -182.5909, 3, 2 in increasing order.\nAnswer: -182.5909, 0.3, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -4*j + 17. Suppose -p - 5*n = -0*n + 9, 5*p - 2*n = -45. Let g(q) = q - 4. What is p*g(k) - 2*x(k)?\nAnswer: -k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 + 6*y**2 - 2*y - 9. Let n be (13\/26)\/((-1)\/(-8)). Suppose -3*p + 2*p - 22 = n*k, 0 = 3*p + 2*k + 26. Give h(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 2.9424?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17200 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 890?\nAnswer: 5340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(4\/13)\/(c*(((((c\/c**2)\/c)\/c*c)\/c)\/c)\/c*c))\/(c\/(c**(-1)\/c)*c*c\/(c\/(c**20\/c))) assuming c is positive.\nAnswer: c**(-256\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 6*q + 8. Let o = -204 + 1229\/6. Let v(h) be the second derivative of o*h**3 + 7\/2*h**2 - 3*h + 0. Determine 6*n(u) - 7*v(u).\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 6 (b) 95 (c) 1.6 (d) 16 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, c: 1}. What is prob of sequence jc?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/2)\/(b\/(b**(-3\/2)*b)*b))**(1\/20) assuming b is positive.\nAnswer: b**(-1\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-16)\/(-42) + (-2)\/3. Let v(t) = -t**2 + 4*t - 1. Let i be v(3). Suppose 3*c + 5*h = i - 5, 2 = -2*c - 2*h. Is c > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58593, 76602, 94611, 112620?\nAnswer: 130629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 330637 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -1. Let i(f) = -f + 4. Let z(q) = -i(q) - p(q). Let o(n) = -n + 3. Let t(u) = -4*o(u) - 5*z(u). Suppose 0 = -l - l. What is t(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5885385, -5885379, -5885373?\nAnswer: -5885367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 6, f: 1, q: 4, x: 2, b: 4}. Give prob of picking 2 q and 1 b.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -15348, -30687, -46026, -61365, -76704?\n\"Answer: -15339*h - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3409613 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5.16, -9, 1, 0.4 in descending order.\nAnswer: 1, 0.4, -5.16, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 - 9*q - 6. Let r(s) = 3*s**2 + 26*s + 18. Let d(v) = 11*l(v) + 4*r(v). Let w be d(-2). Let i(y) = y**2 - y - 2. Determine i(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2296.341*-0.1\nAnswer: 229.6341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39 - 38.999969. What is u rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of w**4\/28 - 9*w**3\/14 + 27*w**2\/7 - 10*w - 4. Factor a(v).\nAnswer: 3*(v - 6)*(v - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 38*w - 21. Give l(3).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -4*y + 2642 + 110, -5*y - 3*i + 3441 = 0. Calculate the remainder when y is divided by 139.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 824 divided by 206.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millimeter in micrometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (19\/1)\/(1*(-1)\/(-1)). Solve 5*b = 2*w + u, -5*w + 2*b = 4*b + 4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1*4 - (-36)\/(-24))*2. Let s(v) = -4*v - 36. Is s(b) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 24 + 2 = 2*m, -3*m + 6 = -h. Let o(t) = -2*t + 1. Let v be o(3). Let b = v + 10. Solve -h*q = -3*q + 9, -b*q = f + 12 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 10. Let b(u) = 4*u + 4. Let z(v) = -v. Let f(w) = h*b(w) - 5*z(w). Calculate f(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25362 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8074 + 2*i**2 - 18*i - 8073 - 885*i to the form b*i**2 + v*i + l and give v.\nAnswer: -903","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.525 - -2.455. What is the smallest value in c, -2\/5, 13, 1\/6?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 136.9 - 137. Let y = 0.055 + 37.945. Let u = 37.5 - y. Which is the closest to 0.1? (a) u (b) -5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(2\/((-12)\/(-6))))\/(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 50937*s. Let y(k) = 90*k**2 - 2. Give i(y(t)).\nAnswer: 4584330*t**2 - 101874","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/((x\/((x*x*x\/(x\/x**(2\/5))*x)\/x)*x)\/x)))\/(x\/x**11))**(-49)*(x*x**0)**30*(x**(-1\/11)*x)\/(x*x**(-2\/11)*x) assuming x is positive.\nAnswer: x**(-21577\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -802, 4 in increasing order.\nAnswer: -802, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o - 1. Let r be j(1). Let d = 34\/13 - 157\/65. Which is the nearest to 2\/5? (a) d (b) r (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 7:06 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r, 2*j - 3*r = -19 + 15 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7486521?\nAnswer: 3, 7, 356501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 16*u - 4. Calculate f(2).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 divided by -3.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c*j**2*u**2 - 441*c*j**2*u - 4*c*j*u**2 + 8*c*j*u + 27*c*u**2 - 1057*j**2*u - 4*j + 19*u**2 wrt j.\nAnswer: 2*c*u**2 - 882*c*u - 2114*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 10 = 5*r, 3*t - 8 = 14853*r - 14849*r for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 - -26. What is the biggest value in r, -0.4, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, -3, -2, 5, 85 in descending order.\nAnswer: 85, 5, -2, -3, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 82318573 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 63 - 56. Suppose -992 = -5*l + 4*g, 8*l = a*l + g + 199. Is 38 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*x = -66 - 8 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1408314774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34221232 and 146?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 a factor of 3452429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 7*t**2 + 12*t - 11. Suppose -68 = 4*u + 28. Let x(w) = w**2 + w - 1. Let k(z) = u*x(z) + 3*c(z). Solve k(g) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/11 - 24*l\/11 - 40\/11.\nAnswer: -2*(l + 2)*(l + 10)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/(-70)*8*3330\/144.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/924 and 67\/336?\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -0.45.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31\/(-1302)*-308*1*-3.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2 = -10. Is (u\/(-3))\/((-14)\/(-147)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4 = 3. Let b be -6 + t + 1 - -2. Let x(g) be the third derivative of g**5\/12 + g**4\/6 + g**3\/3 + g**2 - 5645*g. Determine x(b).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*w**4\/7 + 165*w**3 - 2322*w**2\/7 = 0. What is w?\nAnswer: -387, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1339*f**5*z - 5*f*z + 21*f wrt f?\nAnswer: 26780*f**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 5*d - 10 = 0. Let m(h) = -h - 2. Suppose 3*t = -38*t + 82. Let w(l) = l + 81 - 153 + 77. Calculate d*m(g) + t*w(g).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(936)*-1 + sqrt(26) + sqrt(26))\/((sqrt(200) - (-1*sqrt(200) + sqrt(200))) + sqrt(200) + sqrt(200) + sqrt(2)).\nAnswer: -4*sqrt(13)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d - d - d)*(5*d + 2*d - 5*d) - 3*d**2 + 4*d**2 + 2*d**2 - 2*d + 2*d - 2*d**2.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q + 6*q + m - 2 = 0, q - 2 = -m. Which is the closest to q? (a) -0.9 (b) -1\/7 (c) 1 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 5*a + 2. Suppose -4 = -3*s - 13. Let k = s - a. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*q - 3*q - 2*q)*(q**2 + q**2 + 0*q**2) - 2*q**3 + 0*q**3 + 3*q**3)*((-q - 9 + 9)*(9 - 5 + 0) + 2*q + 2*q - 7*q).\nAnswer: 21*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(1331) + -2 + 3 + 0 + sqrt(1331))**2.\nAnswer: -176*sqrt(11) + 5340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hzzzzzllg. What is prob of sequence gzl?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/((-6)\/2*(-1)\/4))\/(4422\/(-6633)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 204 times -85444\nAnswer: -17430576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4383*i**5 + 114578*i - 114578*i + (0*i**2 + 0*i**2 + 2*i**2)*(-i + i + i**3).\nAnswer: 4385*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n**3 - 10746*n**2 + 477627*n - 466884 = 0.\nAnswer: 1, 44, 3537","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - k + 3. Calculate the remainder when 1 + 40 + 23 + -36 + 16 is divided by t(-4).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cujcjcctctujj. Give prob of picking 1 j, 1 t, 1 u, and 1 c.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus 8215?\nAnswer: 8213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 20085163 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39 - 37. Let c(w) be the third derivative of 0*w - 1\/72*w**4 - w**q + 0 + 1\/9*w**3 - 1\/180*w**5. Determine p so that c(p) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -139*r**2 + 1257*r - 30. Let m be a(9). Sort m, -146, 5 in ascending order.\nAnswer: -146, 5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8418885 divided by 5?\nAnswer: -1683777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/8 in 2, 6, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26591842 and 272?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 12, 0*n = 4*f + 4*n - 452. Let w = f - -26. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 12*z. Let s(y) = -3*y**3 + 0*y + 10*y**3 + 1 - y**2 + 3*y - 3. Let b be s(1). Let t(j) = b + j**2 - 4 - 3. Give t(n(h)).\nAnswer: 144*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 412?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 4:25 AM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -6 + (-10 - 23) + (-15 - -10)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/(-10)*75\/30. Which is smaller: -3 or n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 - 5*g - 4. Let p(a) = -a**3 - 5*a + 14*a**2 - 23*a**2 + 0*a**3 - 49. Let x be p(-9). What is c(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2 - 1004*v + 7904.\nAnswer: 2*(v - 494)*(v - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -435 - -429.71. Let g = -1.29 - z. Which is the biggest value? (a) -3\/7 (b) -6\/7 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xluubll. What is prob of picking 2 u and 1 l?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -50*m**2*p**3 + 5*m**2 - 4*m*p**2 wrt p.\nAnswer: -300*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.5, -0.4, 1.4 in increasing order.\nAnswer: -0.4, 0.5, 1, 1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-370 + -1)*811\/(-17031)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 2*p + p - 5*p = -8, -3*p + 4 = 260*x - 258*x for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -7*f + 1. Suppose 92 = -2*d - q + 427, -507 = -3*d + 3*q. Let x be 8\/6*(-126)\/d. Calculate s(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -118 + 118. Let y be (4 - -1 - o) + -7. Let h(t) = -71*t**3 + 3. Is h(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 45 = 3*c, 2*m + 2*m + 5*c = 55. Let y be -6*(-12)\/(-27)*(-21)\/4. What is the smallest common multiple of m and y\/21*24\/2?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13264\/8355 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001059 to 4 decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 204 (base 6) to base 8\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-1.31.\nAnswer: -1.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g + 12. Let x be t(-7). Suppose -c - x = 4*c. Which is bigger: c or -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of w**6\/150 + w**5\/100 - w**4\/20 - w**3\/30 + w**2\/5 + w - 2. Let t(l) be the first derivative of b(l). Solve t(m) = 0 for m.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 3030690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g + 2*a - 22, -4*g - 3*a - 70 + 73 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (26 - 28)\/(2\/6). Let r(z) = 4*z + 29. Let i be r(s). Solve -2*w + 2*v = -v + 16, 5*v = -w + i for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -7*y**3 - 3*y + 2. Let u be f(2). Let i = u - -73. Is i a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4438*r - 4415*r + 92 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4012 + -3271. List the prime factors of q.\nAnswer: 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/5, 17, 1, -2, -0.3, -44?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m**2 + 2*m - 8. Let d be k(0). Let q be (-1)\/3*(-6)\/d. Let c = -0.33 - -0.33. What is the closest to q in 2, c, -0.6?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -5, 2, 4\/153 in descending order.\nAnswer: 14, 2, 4\/153, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*q, -3 = -3*j - 2*q + 26. Calculate the least common multiple of 6 and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107.7689 nanograms in micrograms?\nAnswer: 0.1077689","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 9.375949+3\nAnswer: 12.375949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -0*p + 5*t - 145, -t = 2*p - 56. Is 29 at most as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-24)\/18*-1*3. Suppose 3*i - 161503 = -5*o, o + 161499 = 3*i + f*o. Let h = i - 27831. Round h to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1247641 is divided by 36.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 - 6*o**2 + 8*o + 6. Let g be m(-7). Let k = g - -1. Let s(q) = q + 1. What is the units digit of s(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12343 (base 5) to base 8.\nAnswer: 1715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 853*y + 1785*y + 60378 = -990*y + 209126 for y.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 515134*m + 6181617. Calculate x(-12).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 greater than 464316?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 291550.\nAnswer: 2, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - s**2 + 0)*(-2 + 2 - 3*s) + 2*s**3 - 144 + 26*s**2 + 144 + (2*s - 4*s + 3*s)*(-s**2 + s**2 - s**2) to n*s + h*s**2 + b + p*s**3 and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - k - 2*k + 72 = 0, 0 = -5*f - 3*k + 189. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 equal to -1\/308?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 11*n**3 + 68*n**2 + 22*n + 19. Give u(-6).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 - 24*q + 28. Let c be o(23). What is the smallest value in -4, 0.7, c?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4581*c = 5860*c + 46044 for c.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 136878412 and 223762.\nAnswer: 958148884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 - 4*a**2 - 3*a. Let d be n(-3). Suppose -13 = -5*l - r + 2, r = d. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 124*c + 14*c + 8*c + 5256 for c.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -265.03 - -264.03. What is the smallest value in 3, 0.05, h, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -6238, 0, -5, -16 in descending order.\nAnswer: 11, 0, -5, -16, -6238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -504 divided by -2?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (((8\/13)\/2)\/(-2))\/((-14540)\/47255)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(38)\/sqrt(2) + 4 - sqrt(19)) + (-1*sqrt(171) + sqrt(171) - sqrt(171))\/sqrt(9) + 5 + (0 + sqrt(19))*-2)**2.\nAnswer: -54*sqrt(19) + 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5934.02414 rounded to the nearest integer?\nAnswer: -5934","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -54*c + 57*c - 21. Suppose 2 = m + m. Suppose 0 = -5*w - 2*k - 9, 0 = -4*w - k - c + m. Which is smaller: w or 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kqq when three letters picked without replacement from kqbibbbqiqibbkqqk.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1946, -3879, -5800, -7703, -9582, -11431, -13244, -15015?\n\"Answer: b**3 - 1940*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4337215 - 12?\nAnswer: 4337203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*k + 9 = -51 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 177\/544 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 292, 406, 596, 862, 1204, 1622?\nAnswer: 2116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6384 and 1176.\nAnswer: 44688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of -3*j**5\/50 - j**4\/6 - j**3\/15 + j**2\/5 - 2*j + 3. Let d(x) be the first derivative of v(x). Suppose d(m) = 0. What is m?\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -279 + 424. What are the prime factors of a?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 24\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of 31\/3*h**3 - 116\/5*h**5 + 0*h**2 + 0*h + 118 + 1\/4*h**4. Find the third derivative of z(f) wrt f.\nAnswer: -2784*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - 4*w + 1. Let v be y(-3). Let n(m) = v*m - 2*m + 6*m. Let c(p) = -3186 - 7*p**2 + p**2 + 1047 + 1047 + 1092. Give c(n(s)).\nAnswer: -384*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*h**4 - h**2 + 245*h + 11 - 1 - 243*h + 2*h**3 in the form m*h**3 + j*h**2 + q*h + g*h**4 + v and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 714 and 1457002.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 90694343 and 17148.\nAnswer: 1429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 + 9.057. Let v = c - 0.0628. What is v rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27880 to the power of 1\/2, to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41130 (base 5) to base 6.\nAnswer: -20201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*k + 0 + 0)*(-k**3 + k**3 - k**3) - 2*k**4 + k**4 + 6*k**4 - 377*k**4 - 944*k + 944*k in the form v + t*k**2 + y*k + r*k**4 + p*k**3 and give r.\nAnswer: -374","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 9*x + 6. Let g(o) = 16*o + 3. Let a(s) = 8*s + 2. Let d(b) = 7*a(b) - 3*g(b). Let h = -10 - -4. Give h*l(w) + 7*d(w).\nAnswer: 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1330775?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-58327)\/136 - 4\/32. Let q = i - -435. Solve 0 = 3*x - q*x - 4*f + 2, -4*x + 2*f = -10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 274 is divided by 69?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/6)\/((-2)\/150). Let s be 2\/5 - (-65)\/h. Let f = 20 + s. List the prime factors of f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2 - 92*u.\nAnswer: 2*u*(u - 46)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {a: 7, t: 1, d: 10, b: 1}.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1221*(5\/(-3) + 1). Let q = z + -2471\/3. What is the common denominator of (1224\/(-48))\/(9\/5) and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -5)\/(((-22)\/187)\/1 - 0) - 5.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -3210572.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/23))**35*(q**(-8))**(-2\/37) assuming q is positive.\nAnswer: q**(-2222\/851)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is 86 + 0 - (-2488 + 2550)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -35 + 2206?\nAnswer: 2141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/7 - (-215)\/35. Let p(y) be the third derivative of 0*y + 2\/3*y**3 - 3*y**2 + 0 + 1\/120*y**l - 1\/6*y**4 - 1\/15*y**5. Calculate p(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 0.0266, -3\/4, 2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 3. Let y = 6 + r. What is the derivative of -y*s**2 - 2 - 3*s**4 + 3 + 6*s**2 wrt s?\nAnswer: -12*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -0.3, 0.16, 0.4, 126 in decreasing order.\nAnswer: 126, 0.4, 0.16, -2\/9, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 + -1)*(-90)\/120 + -2. Let s(k) = 53671*k + 29. Let f be s(o). Round f to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/2541 - 15280\/43197. Let p = 7\/68 + t. What is the smallest value in -3, -0.5, p?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*u + 2*p + 225 = 76*u, -4*u + 4*p = -180. Calculate the greatest common divisor of u and 4815.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, -1, -22, -71, -160, -301, -506, -787?\nAnswer: -1156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 533599.5 micrometers?\nAnswer: 0.5335995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {g: 5, k: 8}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 0.047 (c) -2\/15 (d) -4\/5 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jqdxj. What is prob of picking 1 x and 1 d?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(4\/7)\/(g\/((g**(-2\/3)\/g)\/g)))\/((g\/g**(-3\/7))\/((g\/(g*(g**(3\/8)*g)\/g))\/g)) assuming g is positive.\nAnswer: g**(-991\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**4 - 246*a**3 + 1611*a**2 - 2700*a.\nAnswer: 3*a*(a - 75)*(a - 4)*(a - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -3*f**3 + 2*f**2 + f. Let t(r) = -r**3 - 1. Let b(v) = 2*t(v) - z(v). List the prime factors of b(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7438 + -3559. Suppose -17*k = -14*k - a. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4168, -8339, -12512, -16687, -20864, -25043, -29224?\n\"Answer: -k**2 - 4168*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1016103.\nAnswer: 3, 11, 41, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -24, -25, -2, 45, 116, 211?\n\"Answer: 12*s**2 - 37*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j**4\/3 - 290*j**3\/3 + 812*j**2\/3 + 9032*j\/3 - 880 = 0. Calculate j.\nAnswer: -22, -5, 2\/7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*c = 163*c - 81*c + 88. Let k(y) = 20*y - 150. Determine k(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = s - 28. Let z(o) = o**3 + o**2 - 5*o. Let r be z(3). Calculate the highest common divisor of s and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 PM and 5:05 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2581737 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 281913 is divided by 40.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 491 - -12?\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g - 5. Suppose 6*s = a + 4*s + 1, 0 = a - 3*s - 3. Let c = a - -12. Suppose -2*t + 30 = c*t. Give d(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (99\/22)\/(-12 - 725\/(-60)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 52 - 23. Suppose q*b - 34*b = -20. Let m(p) = -p + 5. Let g be m(b). Solve 5*u + g - 11 = -5*r, 4*u - 10 = -2*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -6*k**2 + 20*k + 1098. What is r(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c - 5*c + 4*c)*(4*c + 0*c - 2*c + (0*c + 0*c + c)*(-2 + 2 + 2) + 0*c - 3*c + 5*c)*(2 - 1 + 1).\nAnswer: -24*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of -d**4\/60 - d**3\/5 - d**2\/2 + 48*d. Factor f(s).\nAnswer: -(s + 1)*(s + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-187 + 187 - 26*c)*(0*c**2 + 4*c**2 - c**2) as l*c**2 + t + v*c + r*c**3 and give r.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33)\/(-242)*99\/27.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2799224*j - 2799288*j = 2496 for j.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 127, 451, 991, 1747?\nAnswer: 2719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - 17289\/(-8640))*2. Are g and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 7:29 PM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 5*j = -0*j + 393, -3*j - 15 = 0. Let o = -145 + b. Let z = -21 + o. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2292, 4357, 6428, 8505, 10588, 12677, 14772?\n\"Answer: 3*n**2 + 2056*n + 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 501397299?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1765 greater than 1632?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, v: 1, z: 1, o: 8, s: 2, a: 1}. What is prob of sequence zssv?\nAnswer: 1\/16380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 5*s - 8. Let z(i) = i - 1. Let x(j) = 8*j - 10. Let f(p) = -x(p) + 5*z(p). What is 8*f(h) + 5*o(h)?\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 3*z = 1437, -1797 = -5*h - 6*z + 3*z. Let w = h - 245. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = b + 4. Suppose 3*c = -0*d + 5*d - 3, 0 = b*c + d - 19. Solve 5*f + 35 = 5*y, 2*y - c*y = -4*f - 20 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -268562839 + -1?\nAnswer: -268562840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 362 = 4*c - 458. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 26*d**2 + 1172*d + 94. Let r be o(-45). Solve 2*y = 4*x + 22, -3 = -r*x - 23*y + 20*y for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u - u. Let i be (0 + -4 - -4)\/2. Is u >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 239656346.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**2 + 29*h + 13 - 16*h - 13*h to the form j*h + r*h**2 + s and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x + 18 + 2 - 1. Determine f(0).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - 58*i - 310. Give s(63).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 9:15 PM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 9*k + 2. Let u be (9 - (9 - 6)) + (-8)\/2. Let r(y) = y - 1. What is u*r(s) + h(s)?\nAnswer: 11*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2248*n - 16. Let z be p(-2). Let i = z - 10080. Round i to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1000 or 1001?\nAnswer: 1001","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 400a (base 14) to base 10\nAnswer: 10986","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -40*o + 36*o + 1284. Suppose 4*p + 337 = d + p, d - o = -5*p. What are the prime factors of d?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2156 (base 9) to base 16.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -847*i - 948. What is the hundreds digit of m(-15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56\/(-196) + 5\/(630\/64).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -6*g**3 - 2*g**2 - 8*g - 4. What is the remainder when 108 is divided by h(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (256\/(-20))\/((-3)\/((-45)\/(-3)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53115 divided by 10623?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 18 times 7.82\nAnswer: 140.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) 1\/7 (b) -0.16 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 18296635 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1 - 2) + 2070\/644)*(-63)\/189?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5680\/1704*(-81)\/(-75).\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 235 + -233. What is the derivative of -40*v + v**2 - 29 + 33*v - 2*v**k - 3*v**2 wrt v?\nAnswer: -8*v - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + t**2 - 1. Let h(l) be the first derivative of 3*l**4\/4 - 5*l**3\/3 + 7*l - 15. Give -4*g(p) - h(p).\nAnswer: p**3 + p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d + 30 = 6*d. Let i be (2 + d)*1*8\/(-12). Suppose 40 = i*h + b, -3*h - b + 82 = -5*b. Calculate the remainder when 86 is divided by h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 3. Let d be 2\/6*f*-3. Find the first derivative of 0 + k + 4 - d wrt k.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjs when three letters picked without replacement from {s: 3, j: 2, c: 13}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 109.54 seconds in milliseconds?\nAnswer: 109540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 11:00 AM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/419688 and -7\/10854.\nAnswer: 1259064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 508224 and 192.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-15) - (-770)\/600*-4. Is (-64761)\/k - 44\/(-55) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, b: 18}. What is prob of picking 2 b?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 5*y**2 - 7 - 4*y**2 + 556*y - 33*y**2 - 273*y - 276*y. Let r(d) = -33*d**2 + 6*d - 6. Calculate -6*b(w) + 7*r(w).\nAnswer: -39*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27.842 + 0.158. Which is the nearest to y? (a) -0.3 (b) -1\/7 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**4 + 149652*c**3 + 5599379214*c**2 + 33592234788*c + 50386331961 = 0 for c.\nAnswer: -74823, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3305 and 65914037.\nAnswer: 65914036.6695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 139*z - 67. Determine j(1).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -585617*n + 5270579. What is a(9)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-15)\/((-75)\/13474)*5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 148*w - 144*w + 5035603, 3*j = -3*w - 3776709. Round w to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 22 - 2 = 4*d, 2*f - 4*d + 14 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (-22 - (33 - 21 - 36))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 2)*(7 + -8). Let q be (-16)\/(3 + g) + 3. List the prime factors of q*-3*80\/15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w**(-9)*w))**(4\/17))**(3\/8))**(-26\/3) assuming w is positive.\nAnswer: w**(-117\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (17\/8 - 2) + (-1806)\/1008\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 AM and 8:39 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*(30\/5)\/(5\/(35\/(-28))).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -10199963, -20399910, -30599857, -40799804, -50999751?\n\"Answer: -10199947*h - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1876 * -21.\nAnswer: 3.9396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - ((-10 - -2) + 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1)*v)**(-1\/19))**3 assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9950888\/109 equal to 91294?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 m, 1 w, and 1 u when four letters picked without replacement from {u: 1, a: 2, y: 2, w: 1, m: 1, z: 2}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 76705.9l in millilitres?\nAnswer: 76705900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**3 - 7*w**3 + 2*w**3 + 2*w**3 - 3*w**3 + 2*w**3 + (1 - 2 + 0)*(5 - 5 - 3*w**3))*(2 - 2 - 2*w).\nAnswer: -4*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 58 times -6.96\nAnswer: -403.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6 - 4\/(-2) - (-13 - -39). Let l = o + 77. Round l to zero dps.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 - q - 2. Let k be r(0). Let f = -5 - -8. Suppose i = -0*u + u - 6, -u - f*i = 14. Put u, k, 3 in increasing order.\nAnswer: k, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a5d9 (base 16) in base 6?\nAnswer: -2151545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 1076 + 1016 = -2*o, i + 0 = -3*o + 5 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 132831.3792 and -18538?\nAnswer: 151369.3792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 61224, -4, -2 in decreasing order.\nAnswer: 61224, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = -6*h - 5. Suppose 0 = h*j - 3*j, -j = i - 8. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/((-294)\/15))\/(9\/21).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/37 - 255\/74. Let a = 0.0511 + -229.0511. Let f = 224 + a. What is the third biggest value in -2\/13, f, l?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3880 to the nearest 100.\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -7*q**3 - 2*q - 1. Let p = -1 - -4. Suppose 4 = -4*z - 4, -p*h - 7 = 2*z. What are the prime factors of y(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -9 - 24*t + 22 + 14. Suppose 104*x = 190*x - 4644. Let v(l) = -l + 1. Calculate x*v(r) - 2*y(r).\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 755.565 - 1.565. Let d = s + -754.1. What is the second biggest value in d, 5, 1, 0.11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*g**2 - 7 + 19 + 96*g**2 - 5*g.\nAnswer: 186*g**2 - 5*g + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 4189, -4 in increasing order.\nAnswer: -4, 14, 4189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-40200)\/(-240))\/(15\/18) is divided by 135.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03471643 rounded to five dps?\nAnswer: 0.03472","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*b**3 + 3*b**3 + 3*b**3 + 5*b**3.\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 206\/152 + 4\/798*-21?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2 = 0, -137 + 34 = -3*k + 2*l. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3826662.\nAnswer: 2, 3, 7, 179, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3999.353 and 0.2?\nAnswer: -799.8706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, a: 2, b: 7}. Give prob of sequence kkaa.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**3 - 7*j**2 - 3*j**3 - 5 + 1 - 2. Let i be r(-7). Let o(h) = -h**3 - 5*h**2 + 3*h + 4. Is o(i) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/97572 and -133\/18576.\nAnswer: 151041456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 228*m - 241*m - 143 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -20, 1, -4.\nAnswer: -20, -4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((138 - 0)\/3)\/1. Let g(f) = 2 - f**2 - 86*f - f**3 - 16*f**2 - 21*f**2. Let k be g(-36). Calculate the highest common factor of d and k.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = h + 4*f + 5, 0 = h + f - 1. Suppose 6*l = 652 - 616. Solve -3*w + h = -l for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -85, -207, -385, -625, -933, -1315?\nAnswer: -1777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**3 - 2*b**2 - 3*b + 2. Let u be k(2). Suppose -126 = -u*s + 38. Is 14 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 258811?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a + 0 = 12 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 212212, 208801, 205378, 201937, 198472, 194977, 191446?\nAnswer: 187873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 + 2 - 3)*(2 - 5 + 5) - 56 + 47 - 52)*(i**2 + i**2 - 7*i**3 + 0*i**2).\nAnswer: 385*i**3 - 110*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -9. Suppose -r + 3*r = 0. Suppose r*d - 1 = d. What is the nearest to o in d, 1\/4, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77706.61 nanograms in grams?\nAnswer: 0.00007770661","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3*0.02033113\nAnswer: -0.06099339","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12 + 49*w - 49*w - 18*w**4 wrt w.\nAnswer: -72*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100111100101101010 + -101?\nAnswer: -10100111100101101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6761 and 9.\nAnswer: 60849","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 724, 3132, 7224, 13000?\n\"Answer: 842*w**2 - 118*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - 1\/2)*-4. Let q be (3\/(-2))\/((-5)\/d). Calculate the highest common divisor of q and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-2 + 4 + (sqrt(125)*-3 - sqrt(125)) + 3)*-4.\nAnswer: -25 + 80*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -111, 2\/3, -6\/11, 8, -3\/7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 10:03 PM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**3 - 11*l**2 - 3*l + 6. Calculate f(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 100101001000010 (base 2) in base 13?\nAnswer: 8864","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 406.\nAnswer: 1\/203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 27 + 0 - 3*q**3 + 3 in the form r*q**3 + k*q + y*q**2 + d and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/((54\/(-3))\/(-3))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, t: 4, y: 1, h: 2}. Give prob of sequence xhtt.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0819434 rounded to 3 decimal places?\nAnswer: 0.082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*o - 209 + 74 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y + 4*y - 12. Suppose -y*b + 5 + 7 = 0. Let g(o) = 10*o + 7. Let v(c) = -3*c - 2. Give b*g(f) + 14*v(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -4, 4*u = -2*z + 2*u - 16. Let c(d) = d**3 + 4*d**2 + 9*d. What is c(z)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62934231.\nAnswer: 3, 20978077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/3 + 11*k**2\/3 - 109*k\/3 - 119\/3.\nAnswer: (k - 7)*(k + 1)*(k + 17)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2 - -1.8. Let l = 1\/48 - -29\/144. What is the nearest to l in -0.1, 2\/5, c?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*k**3*t**3 - 8*k**3*t + 235*k**3 + 2*k**2*t**2 + 2253*t**5 wrt t.\nAnswer: 30*k**3 + 135180*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 42 - -2. Let c = 95 - 29. Calculate the greatest common factor of i and c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {u: 1, c: 2, z: 7, p: 1, q: 2, s: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*f**3 - 403015040898*f + 403015040898*f - 9*f**3.\nAnswer: -16*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23114 - 23064. Is 666\/13 at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 128 - 131. Calculate the remainder when 158 is divided by 1 - ((-93)\/(-6))\/(d\/2).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 AM and 7:03 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 5:17 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -18*v**2 - 100*v - 27. Determine f(-8).\nAnswer: -379","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 8*p - 1. Let v(i) = -i**2 - 8*i - 2. Let t be v(-7). Let w be -2 + (t - (2 + 0)). Is 7 a factor of d(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 0.037 (b) -21 (c) 1\/8 (d) -2 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 3 + 4)*(-2*d + 5*d - d) - 5*d - 22*d - 9*d)*(10 - 23 + 22)*(2 + 2 - 3) + 3*d - 4*d - 4*d.\nAnswer: -311*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 2)*(5*z - 9*z - 7*z)*(0*z + 0*z + 4*z) + (z + 2*z - 6*z)*(-z + 0*z + 0*z).\nAnswer: -85*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.3 - -3. Let g = 10.7 + -11.29. Let k = 0.39 + g. Which is the nearest to 0.1? (a) v (b) k (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (414\/(-40))\/(15\/(-10)) and 34\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + -40?\nAnswer: -3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 5978542872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1120 and 616?\nAnswer: 12320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30019 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144)\/sqrt(4))\/sqrt(12) + sqrt(243) + 1 + sqrt(108) + sqrt(12) + 2*sqrt(48))**2.\nAnswer: 52*sqrt(3) + 2029","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*s - 60 = -29*s. Suppose 1063 = s*n + 7. Calculate the greatest common factor of 20 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*1427.\nAnswer: 9989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.026 - 0.026. Sort 0.3, t, 3.\nAnswer: t, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(2\/11)\/((q*q\/q**(3\/2))\/q)*q**(2\/13)*q**(-4\/7)*q assuming q is positive.\nAnswer: q**(2531\/2002)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of 1\/8*v**4 + 0*v**3 - 3\/20*v**5 + 0*v + 2 + 0*v**2. Factor a(s).\nAnswer: -s**3*(3*s - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 799 divided by 26960?\nAnswer: 799\/26960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 2. Let l be j(-5). Let x be (8\/6)\/((-6)\/l). Suppose -2*b - 524 = -x*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -176? (a) -1\/2 (b) -1\/3 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*s - 36 = 40. Solve -s*o = -2*o - 10 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -789143 and -789145 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(72)*2 + 2*sqrt(72) + 0)**2.\nAnswer: 10368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = 32*k - 28*k - 4, 1 = k + 4*p for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4037\/4060 - (-10)\/(-35). Let g = -6\/145 - i. What is the closest to 0 in g, 0.2, -2\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -260*v + 525*v - 267*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 204 and 408.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.6 less than -42773823.11?\nAnswer: -42773827.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -5*q + 18, -16*x = -11*x + 10. Suppose 5*v + 3*n = 8*n + 485, q*n - 418 = -4*v. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 6*c**2 - 3*c - 3. Let w be g(-4). What are the prime factors of (2 - 3)*2 - w?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -9\/15050?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 1 - 7 - 7 + k. Let i be d(10). Let j = 0.03 - 1.03. Which is the nearest to 0? (a) j (b) i (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 14 = 2*g + 6, -2*y + 4*g = 8. List the prime factors of (0 + 18)\/(y\/(-8)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 208478 + -208478.0699976. Let f = n + 0.07. What is f rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-22) + (-2800)\/(-275). Let u be 1411\/85 + 4\/l. Are u and 17 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 1 - 2)*(-3*r + 3*r + r) - 3*r - 3 + 3 + 13 - 12 + 3172*r - 2622*r + (4 - 5 - 1)*(4*r + 2*r - 4*r) in the form x + g*r and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1907, 7611, 17117, 30425, 47535, 68447, 93161?\n\"Answer: 1901*d**2 + d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.8 + -0.2. Let r(h) be the first derivative of h**4\/4 + 2*h**3\/3 - h**2\/2 - 3. Let s be r(1). What is the nearest to -1 in s, v, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 105093374?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 393558 by -178.\nAnswer: -2211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*i**6 + 27*i**4 + 45*i**3 + 2434*i**2 + 2 wrt i?\nAnswer: 240*i**3 + 648*i + 270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + -4 - -20) + 4. Let g = n - 17. Solve -4*d - g = 13 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40, 156, 474, 1096, 2124, 3660, 5806, 8664?\nAnswer: 12336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*h - 13 + 77 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 184410, 366057, 547698, 729333?\nAnswer: 910962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2010 + 6751. Is i a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 53 - 51. Solve 5*t - 15 = -4*z, t + u*z - 9 = -2*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, -4, -20596.7, -1\/5 in ascending order.\nAnswer: -20596.7, -4, -1\/5, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -65336*u**2*z**3 - u**2*z - 30*u**2 + 188*z**2 wrt z.\nAnswer: -392016*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -723*o + 10167510000 = -676*o. What is o rounded to the nearest 1000000?\nAnswer: 216000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 82 - 78 = 0. Calculate the greatest common divisor of n and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + 21 + -91 + (22 - -5).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7989 - -7993. Put 0.02, 5, 3, -3, i in descending order.\nAnswer: 5, i, 3, 0.02, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-2) + (-18)\/(-4) + -1. Let i(p) be the first derivative of -q*p**2 - 3 + 1\/3*p**3 - 3*p. Determine i(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 5:12 PM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 - 10*c + 5*c + 4*c**2 - c**2 - 2*c.\nAnswer: 3*c**2 - 7*c - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16343*h**2 + 6989*h - 2.\nAnswer: 32686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/40 and 52\/182 + 9084\/(-3080) - 6\/(-4)?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 6 + 3. Find the common denominator of 77\/12 and (-3 - 31\/(-2)) + b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-5\/11))**(-31\/2)*((l**(6\/17)\/l)\/l*l)\/l**(2\/19) assuming l is positive.\nAnswer: l**(44719\/7106)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - 10. Let j(s) = -3*s**2 + 1. Let q(c) = c**2 - 1. Let u(d) = -3*d**2 - 7*d + 19. Let h be u(-4). Calculate h*q(p) + x*j(p).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 15 = 6*t. Let i = 9\/5 + -129\/55. Which is the closest to -0.1? (a) t (b) i (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1064?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 607.0599 millennia?\nAnswer: 7284718.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 2*j - 183 - 215, -4*u - 5*j = -799. Suppose u = q - 0*q. Suppose -q = -2*s - 2*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*k + 2138 = 2474 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 8*i**2 - 2*i + 10. Does 5 divide h(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*t - 5 = -17*t. Suppose t*b + 81 + 39 = 0. Let c = 41 + b. Is c a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uc when two letters picked without replacement from cjnusjjujnws?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*k**2 + 0*k**2 - 2*k**2)*(-1679 + 15*k + 831 + 664) to the form u*k**2 + y + z*k + m*k**3 and give u.\nAnswer: 368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 2) + 11 + -13 + -5 - -16?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 914978 is divided by 122.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - 22. Let v be -3 - (-11)\/((-44)\/n). Let q(p) = p**3 - 2*p**2 - 4*p + 3. What is q(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + c - 3 = 0, -2*c = 4*x + c - 9. Suppose 23 = -4*o + 3, -4*b - 2*o + 94 = x. What are the prime factors of b?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2643 - 17085 = -3*m. Let x = 39347\/6 - m. What is the common denominator of x and 113\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-28)\/104*20\/35?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(980) - sqrt(20))\/sqrt(2))\/(3*sqrt(8) - -1*sqrt(2)*1).\nAnswer: -18*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -129 and -0.301145?\nAnswer: 38.847705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wqwwr. What is prob of sequence rq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by -220802.\nAnswer: 11\/220802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -470, -461, -438, -395, -326, -225, -86, 97?\nAnswer: 330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.07 + 0.93. Let m = s - 2. Let k = -8 + 8.08. Is m less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 13\/39649379 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001194931 to the power of 1\/2, to the nearest integer?\nAnswer: 31642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(18)\/(2*sqrt(48)))\/((sqrt(216) - sqrt(216)*-2)\/sqrt(12)))**2.\nAnswer: 3457\/1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + 7*u - 4. Let s be i(6). Let m = 31.4 - 31. Which is the nearest to 2\/11? (a) s (b) m (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 114*s**2 + 2*s + 3. Let n be g(-2). Suppose 4*f = -4*m + 516, -4*m - f + n = -61. Let o be 2 - 0 - m\/3. What is o rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 + -22.4. Let d be 228\/(-8) + 4\/8. Let m = 83\/3 + d. Put q, m, 3\/8, -0.5 in decreasing order.\nAnswer: 3\/8, m, q, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1098)\/(119\/(-174) + (-386)\/(-579)).\nAnswer: 2, 3, 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 217359879 and 29535?\nAnswer: 1086799395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 113.\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -4*g + 4*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 270 = 2*g, -54639*a + 54643*a - 276 = 4*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100086 is divided by 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((1*sqrt(136)*6)\/sqrt(8))**2 - (-3 + (sqrt(17) - -1*sqrt(425)))).\nAnswer: -30*sqrt(17) + 3075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*x**2 - 366160*x - 8379571600 = 0. What is x?\nAnswer: -45770","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of 1\/3*p**4 + p**2 + 114 + 0*p**3 + p. Determine q(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -4*sqrt(320)*-1)*5.\nAnswer: -20 + 160*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 62266 + -29807. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + -190d21?\nAnswer: -190d23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36905.720356 + -36907.6. Let g = 110 - 111.88. Let a = v - g. Round a to five decimal places.\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 7:34 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 9*r**2 - 9*r + 2. Let n be m(6). Suppose -2*f + n + 4 = 0. Is f a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 91*c**2 + 96*c**2 - 37*c**2 in the form b*c + g*c**2 + x and give g.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 247858792 to the nearest integer?\nAnswer: 628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*q**4\/15 + 26*q**3\/3 + 44*q**2\/5 - 328*q\/15 + 16\/3 = 0. Calculate q.\nAnswer: -2, 2\/7, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -934 (b) -5 (c) -0.1678\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d + 8. Let g be x(-4). Let n be ((-2)\/1)\/(4 - 9\/2). Solve 0 = -g*w + n*h, -w = -4*w - 4*h for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 378? (a) 0 (b) 1 (c) -4 (d) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38522594?\nAnswer: 2, 11, 863, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 26, 24, 22, 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a centimeter in millimeters?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 10*q**2 - 8*q - 12. Let x be f(-10). Suppose -3*d = x + 55. Let v = -204\/5 - d. What is the smallest value in 1, 0.1, v?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -492211988 divided by 4\nAnswer: -123052997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 2*d + 25 - 23 = 0, -3*d + 7 = 2*m + 10 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1114761446?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6 - ((-5 - 210892\/55) + (-2)\/(-5)). Round v to the nearest 100.\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.9 - 0.7. Let v be (2 - 26)\/8 + 8 + -1. Sort -13, v, d in ascending order.\nAnswer: -13, d, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5664293 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54883 and 5751.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -4.5, 123, 1\/4, 1.5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/10)\/(36\/(-4))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d - 11. Let i be a(-24). Suppose i = -3*t - 5*c, -4*t = -0*c - 2*c - 26. Solve -8*f - 2\/3*f**t - 4*f**3 - 26\/3*f**2 - 8\/3 = 0 for f.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18556 + 11*v**2 + 37130 - 18574.\nAnswer: 11*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, m: 1, u: 1, e: 1}. Give prob of picking 1 e and 1 m.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 2*v - 10, -3*v + v = -2*n + 2. Suppose n*d + 12 - 39 = 0. Suppose -222 + 38 = -23*j. What is the lowest common multiple of j and d?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of 2*t**7\/105 - t**6\/15 - t**5\/5 + 2*t**4\/3 + 8*t**3\/3 - 6*t**2. Factor q(w).\nAnswer: 4*(w - 2)**2*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135*u**2 - 512*u**2 - 483*u**2.\nAnswer: -1130*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22612 = -178*p - 478*p - 2316 for p.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 129*o**2 - 238*o - 149. Determine b(-3).\nAnswer: 1726","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 0 - 20 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6250, 15057, 23866, 32677, 41490?\n\"Answer: j**2 + 8804*j - 2555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = l + 25, 2*p - 3*l = -5. Suppose 4*h = p*o + 32, -o + 2*o = -4. Suppose h*i = -5*v + 54 - 2, v = 4*i - 100. Solve -5*x - 4 = -i for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 + 3*m + 4. Let n be i(-3). Let c = n + -3. What is the third smallest value in c, -2, 0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30 + -24. Let b = w + -12. Is -1\/2 smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56257 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**5 - 32*j**4 + 126*j**3 + 32*j**2 - 128*j = 0. What is j?\nAnswer: -1, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 251*x**3*y**2 + 295*x**3 wrt y.\nAnswer: 502*x**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(-7\/4)\/c*c*c)\/c)\/c*c*c**(-7))**(-2) assuming c is positive.\nAnswer: c**(31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 3*j = 4*h - 4, 4*j = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = f + 19 - 69, 3*f + 4*i - 198 = 0. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50202790.\nAnswer: 2, 5, 11, 23, 19843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5 + 7)\/((-3)\/(-198)). Suppose -2*d + 5*d - 33 = 0. What is the highest common factor of d and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) -2 (b) 0.04 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -291 + 365. Suppose -2*k - 2*y - 16 = 0, 6*k - 3*k - 2*y = -19. Let t(r) = -r**3 - 5*r**2 + 11*r + 4. What is the remainder when d is divided by t(k)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -5*f + 9. Let j(d) = 4*d - 8. Suppose -22 = 3*a - 4. Calculate a*y(r) - 7*j(r).\nAnswer: 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.09 and -5.3.\nAnswer: -0.477","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.46 + 18.54. Let d = -18.8 + m. What is the second smallest value in d, 2, -1\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 7*b - 2*b. Calculate the smallest common multiple of (-3128)\/(-119) - (-5)\/((-140)\/8) and b.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4140.8 - -4145. What is the fourth smallest value in h, 1\/3, -0.5, -1, -3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11368 is divided by 93?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 22773216871 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101190 is divided by 146?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/43 - -733\/86. Find the common denominator of -51\/4 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*m - 7 - 5 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 25 + -6 + 7 + -13 - 18\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, b: 2}. What is prob of sequence xxb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -79 divided by 11\nAnswer: -79\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35030873.\nAnswer: 4027, 8699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f**3 + 408*f**2 - 4810*f - 2028. Determine j(13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -8, -0.547, -1\/192, -6.\nAnswer: -8, -6, -0.547, -1\/192, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3057\/13 + -235. Let v = -0.61 - -30.61. Let k = v + -29.9. What is the nearest to -1\/3 in n, k, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/24*-2*-8. Solve f*s + 2 = 12 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 6*f + 5 = -6*f, 6*x - 3*f = -f + 2*f - 16 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1258053916?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 26?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 89*n**3 - 156*n**2 wrt n?\nAnswer: 534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**3 + 16470*k**2 - 247725*k.\nAnswer: 3*k*(k - 15)*(k + 5505)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94740 divided by -60.\nAnswer: -1579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - y + 1. Let u(w) = 5*w**2 - 14*w + 14. Let v(l) = -4*c(l) - u(l). What are the prime factors of v(11)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.196668 minutes to seconds.\nAnswer: 191.80008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 12 + 0 = 0, 5*h - 4*m - 27 = 0. What are the prime factors of -84*2\/(-6)*h?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*1*-1*(7\/(-4))\/(1785\/1275).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 212 and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -88 minus -1.837?\nAnswer: -86.163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 36*x + 39*x + 240 = 0, 209 = 3*u + 5*x. Calculate the highest common divisor of 7413 and u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3*u**3 + 12*u**2 - 8*u**2 - 10*u**3 + 3*u**3 in the form z*u**2 + r*u**3 + n + d*u and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -152 + 756\/5. Let v = 2 + -4. Let h be 8\/36 + v\/9. Are d and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 13. Let q(k) = -3*k + 20. Let p(l) = 5*l - 30. Let t(x) = 5*p(x) + 8*q(x). Let m be t(h). Solve 4 = r + m for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + -50.8406972\nAnswer: -50.9406972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -101.36 - -101.3. What is the closest to -1 in 1\/16, -2\/15, z, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 293430015, 586860032, 880290049?\nAnswer: 1173720066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*d + 38 - 17. Solve 3*h = -h - 3*p - 21, -d = -h + 2*p for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16182 (base 9) to base 2.\nAnswer: 10101101010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -3*z**4 + 60*z**3 + 12612*z**2 + 73632*z + 97344 = 0?\nAnswer: -52, -4, -2, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4736738 rounded to 3 dps?\nAnswer: 0.474","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.33 from -193.\nAnswer: -192.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22645355?\nAnswer: 5, 4529071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 12*m**2 - 3. Let b be j(2). Suppose b - 1 = 11*h. Suppose 3*s = h*f - 277, 2*f - s - 136 = 3*s. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 19. Suppose 0 = n - 5*d - m, -3*n + d + 12 = -2*d. Suppose -3*p + 6*p = 0. Solve p = -y - n*y - 9 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 125*s - 123*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i + 52 = -4*h - 4*i, 5*h = -4*i - 56 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - 4*f**2 - 4*f - 1. Let b be j(5). Let k be (61\/(-2))\/(b\/(-8)). Suppose 257 = 4*y + k. What is the greatest common factor of 7 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, l: 2, k: 3}. What is prob of picking 3 c?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 10:44 AM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48 and 294.\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 28789279 divided by -1931\nAnswer: -14909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*u = 43*u - 104. Let h(n) be the first derivative of 0*n**2 - 2 + 0*n + 3\/20*n**5 + 1\/12*n**3 + 3\/16*n**u + 1\/24*n**6. Factor h(j).\nAnswer: j**2*(j + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33) - (sqrt(33) - (sqrt(33) - sqrt(528))))*-5)\/((sqrt(3) + sqrt(27))*-6).\nAnswer: -5*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, k: 6, l: 6, v: 4}. Give prob of picking 2 o.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 4*w = -4*o + 20, o + 3 = 3*w. Let q(n) = n**3 - 8*n**2 - 9*n + 11. List the prime factors of q(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3*(2*sqrt(117) - sqrt(117)) + -4 - 1*-2*(0 + sqrt(117) + sqrt(117)))**2.\nAnswer: -34494 + 1008*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -159*j + 162*j + 4248, -3*v = 3*j - 4230. Is 20 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-80)\/(40\/8))\/(-1 + -1). What is the first derivative of -28*r + 55*r - c*r**3 + 19 - 27*r wrt r?\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**4\/8 - 8418*q**3 + 189000933*q**2\/4 - 94475214*q + 377867187\/8.\nAnswer: 3*(q - 11223)**2*(q - 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 5\/3, 1\/2, 5, -2531?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -4*u - 2. Let a be t(-3). Suppose -174 = -16*h + a*h. Does 10 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 341418 and 924.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l**2 + 14*l - 10. Let f = -57 - -63. Let i be w(f). Calculate the greatest common divisor of i and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 94\/6)\/(-130*(-280)\/(-81900)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 > 356046?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x. Let b(g) = g + 4. Let r(p) = p + 5. Let n = -2 - -6. Suppose 3*z = 8*z + 25. Let i(d) = n*r(d) + z*b(d). Give t(i(j)).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a - 1. Let s be q(2). Let p be 1417 + 3\/1*s. Suppose p = 5*m - m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of 4*y**5\/15 + y**4\/12 + y**3\/6 - 10*y**2. Let g be r(-1). Solve -4*v = 3*z - g, 0 = 3*z - z + 3*v - 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 20*u**2 - 656*u + 24. Let a(g) = -7*g**2 + 218*g - 9. Let l(j) = -8*a(j) - 3*s(j). Let l(c) = 0. What is c?\nAnswer: 0, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -1588*r**5\/5 - 1270*r**4 + 17476*r**3\/5 - 1910*r**2 + 12*r\/5 = 0.\nAnswer: -6, 0, 1\/794, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-26))\/((-20)\/40)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - 2*x**2 - 13*x - 8. Let r(l) = 56*l + 15*l**2 - 47*l - 10*l**2 + l**3 - 2 + 7 - 4*l**2. Give 5*a(n) + 8*r(n).\nAnswer: 3*n**3 - 2*n**2 + 7*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*q = f - 15, f = 2*q - 15. Suppose j - q*g + g = 12, 2*j - 6 = 2*g. Let k = 7806\/8303 - 308\/361. Does j = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 6*x - 31 + 10 + 19 - 10*x.\nAnswer: -4*x + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -387 > -392?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29214?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 3*u - 20, 3*u - 8*u = 5*d - 20. Suppose -3*g = 3*f - u*g - 46, -5*g = -20. Calculate the greatest common divisor of 88 and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(15)\/sqrt(3)*-5)**2.\nAnswer: 3125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = 473*f - 478*f + 4*h, -2*h = 4 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 99503, 199000, 298497?\nAnswer: 397994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*k**4 - 65*k**3 + 81366*k**2 - 1010860?\nAnswer: -8*k**3 - 195*k**2 + 162732*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ywwwnwybonownnnuwnw. Give prob of picking 1 y and 1 b.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*i + 39 = 124. Solve 5*d + 29 = -2*n, 0 = -2*n - 3*n - i*d - 35 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g - 5. Let h be (12 - 2\/1) + 0. Let t be q(h). Suppose 65 = -t*b + 715. Round b to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v**2 - 6*v - 7. Let w(y) = -y**2 - 4*y - 8. Give -2*o(z) + 3*w(z).\nAnswer: z**2 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 10:51 PM?\nAnswer: 12:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 3)*(2*z + 8*z - 2*z) - 2*z - 4 + 4 + 2*z - 5*z + z.\nAnswer: -28*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2645 and 320.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/18)\/(20\/300*20)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4095 - -8816. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/16 of a milligram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3892, -7784, -11676, -15568, -19460?\nAnswer: -23352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -54, -3, 2, -4 in decreasing order.\nAnswer: 2, -3, -4, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 5375.616 to the nearest 10.\nAnswer: 5380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 47, 98, 149, 200, 251, 302?\n\"Answer: 51*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1310292165?\nAnswer: 3, 5, 7, 13, 959921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -3*j**2. Let l(u) = u**3 + 8*u**2 - 11*u - 4. Let k be l(-9). Let w(v) = 21*v - 17*v - k*v. Calculate w(x(g)).\nAnswer: 30*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + 2*y**2 + 565*y - 230. Calculate o(-23).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/25 and 16 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -q - 13, 0 = 3*y - 0*y + 4*q + 14. Let w = 1691 + -1429.6. Let j = 261 - w. Which is the closest to -2\/5? (a) y (b) j (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2325, -2324, -2323, -2322?\n\"Answer: h - 2326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 92 (b) -3 (c) 1\/11 (d) -16 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*g + 2*g**2 + 10*g - 1)*(16 - 7*g + 14 - 33).\nAnswer: -14*g**3 - 6*g**2 + 7*g + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/2 and (-21 - -25) + (-83)\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 6*s**2 + s - 8. Let n be b(-6). Let o = 10 + n. Does 6 divide 32\/12*(-18)\/o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 + 1. Let o(z) = z**3 + 4*z**2 - z - 4. Let t = 31 + -26. Let c(q) = t*o(q) + 20*b(q). Solve c(p) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 217 + 1010. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.23594 and -1.5.\nAnswer: -0.35391","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 214*p**5 + 1745*p**3 - 1745*p**3 + (3 - 3 - p**3)*(0*p**2 + 4*p**2 - 5*p**2).\nAnswer: 215*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or 977\/367?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**2 - k**2 + k**5 + (0*k**4 + 0*k**4 - 3*k**4)*(-6*k + 0*k + 3*k) - 2*k**5 - 3*k**5 + 3*k**5.\nAnswer: 8*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/8, -21\/4, -0.056 in descending order.\nAnswer: 3\/8, -0.056, -21\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2356867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - 3*m**2 - 4*m + 35719. Is l(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11140601345 + 2?\nAnswer: 11140601347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-223 - 4 - 208)*(-3*w**2 + 3*w**2 - w**2)*(5*w**2 - 2*w**2 - 4*w**2).\nAnswer: -435*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**3*o**3 - 36*a**3*o**2 + 38*a**3*o + 6*o**6 + 998*o**3 + o**2 - 10*o wrt o.\nAnswer: 6*a**3 + 720*o**3 + 5988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (42 - 50) + -30 + 55?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*l**2 + 2*l**2 + 0*l**2)*(170*l + 165*l - 104*l)*(1 - 5 + 5).\nAnswer: -924*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3904, -3902, -3900, -3898, -3896?\nAnswer: -3894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -121, -471, -1055, -1873, -2925, -4211, -5731?\n\"Answer: -117*n**2 + n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3684 and 18013839.\nAnswer: 921","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 1 - 21. Factor -5*z**4 - 1 + 10*z**4 + 15*z**3 - 15*z + 0 + l*z**2 - 9.\nAnswer: 5*(z - 1)*(z + 1)**2*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7473 and -3?\nAnswer: 22419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*l = -11378 - 42427. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2.962992 litres?\nAnswer: 2962.992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9\/11 - 7\/11. Let f be (0\/(0 + 1))\/(-1). Which is the closest to f? (a) j (b) 2\/9 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 241567 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -77*v + 929. Give u(13).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + 3 - -3 - -4. Suppose -3*w + x = 0, 0 = 4*z - 2*z - w - 6. Is 2 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25 + -0.75\nAnswer: 24.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.039 times -19\nAnswer: -0.741","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176 is divided by 99.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-5)*(-9)\/(-6). Let o be 40 + -52 - (2 + -5 + -4). Let x = 3.04 - 0.04. Which is the third biggest value? (a) x (b) j (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16406594 to the nearest integer?\nAnswer: 4051","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/541 in -2\/3, 7, 0.081, -3, -4?\nAnswer: 0.081","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 7.8 * -7\nAnswer: -54.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 - 8*t + 5. Give h(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of -7\/6*g**4 + 1\/42*g**7 + 0*g**5 + 0 + 0*g**6 + g + 0*g**3 + 0*g**2. What is 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: What is next in 7674, 7834, 7980, 8106, 8206?\nAnswer: 8274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (269*r + 583*r + 315*r + 2*r - 5*r + 5*r + (3 - 3 - 2*r)*(3 - 4 + 3))*(1 + 0 - 3).\nAnswer: -2330*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-336)\/2*(-629)\/(-1887).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 times 0.2?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiih when four letters picked without replacement from hhhhhiihhihhihhhhii?\nAnswer: 65\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3599255350?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a milligram in micrograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*v + 5*j + 8 = v, 2*v - 18 = 5*j for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 5*j = 35, 8*j + 8 = c + 9*j. Let x = -2\/209 - -229\/2090. Let i = 16 + 0. Sort x, c, i in descending order.\nAnswer: i, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 67, 133, 193, 247, 295, 337, 373?\n\"Answer: -3*v**2 + 75*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of p**7\/119 - 13*p**6\/255 + 19*p**5\/170 - 11*p**4\/102 + 2*p**3\/51 - 42*p. Solve w(u) = 0.\nAnswer: 0, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 450, 1859, 4206, 7491, 11714?\nAnswer: 16875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.9 + -1.9. Let x = 0.2 - 1.2. Let w = x + k. What is the biggest value in 0, w, -2\/11?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 17 + -9 + -18?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - w - 45 = -24, -5*w - 61 = q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 426470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 4, -45 in increasing order.\nAnswer: -45, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 12:42 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/9 - 9484*z\/9 + 6320\/3.\nAnswer: 2*(z - 4740)*(z - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (530\/371)\/((-2)\/(-7)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/(-3) + (-3 - -4). Suppose 2*h - l*h + 48 = 0. What is the common denominator of 55\/24 and 0 + -2 + 262\/h?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 405700651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 11, f: 1}. Give prob of picking 4 p.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-6) + (-646)\/(-1254). Factor -4\/11*r + 2\/11*r**2 + n.\nAnswer: 2*(r - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-37)\/(-3) - (-300)\/450. Solve 18 = -r*v - 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 - 43*g - 23. Let y be z(-42). Solve -18 = -3*c - 3*r, 4 = -18*c + y*c - r for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-990)\/(-243) + -1*4. Let x = 10.6 - 11.6. Which is smaller: f or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = p - 118, -6*o + 5*o - 653 = -5*p. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -4*k - 4*z + z, -5*k + z = -41. Solve -k + 23 = 5*h + f, 3*h - 17 = f for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-1\/7))**25*(p\/(p**5*p))\/(p**(-2\/21)\/p))**(-2\/67))**29 assuming p is positive.\nAnswer: p**(9106\/1407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -79*k**3 + k + 171*k**3 - k**4 - 98*k**3 - 7 in the form p*k**3 + j*k**2 + r*k**4 + l*k + n and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/375 and 53\/7.\nAnswer: 2625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-12)\/(-8)*-2 + 57 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16768 and 48601.\nAnswer: 6220928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -60, 25, 108, 189, 268?\n\"Answer: -c**2 + 88*c - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -20565, -12901, -119, 17787, 40823, 68995, 102309?\n\"Answer: x**3 + 2553*x**2 - 2*x - 23117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 22, 0.7, -5 in descending order.\nAnswer: 22, 0.7, -2\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -5*x - 30, -12*x = -4*c + 301 - 261 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 65217 - 65215.630089. Let i = x + -1.37. What is i rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15155771 + 132*l**2 - 4*l**4 - 15155772 - 2*l + 2*l**4 to b + x*l**2 + w*l**3 + y*l**4 + s*l and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 105 + -105. Suppose a = -6*g - 4*g + 1190. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/50 of a century?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -21 * -0.5\nAnswer: 10.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 2.026?\nAnswer: -6.078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1 - -1) + -4)*475\/(-50). Let s be (-2)\/4 - (-4)\/(16\/t). Let d(a) = -13 + s*a - 20*a - 3 + 10*a. Determine d(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 764.\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1*r\/r**0)\/((r*r*r**(-8))\/r*(r\/(r\/(r\/(r\/(r**(3\/4)\/r)))))\/r) assuming r is positive.\nAnswer: r**(41\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-8)\/11)\/((-642)\/1177))\/((-8)\/(-6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1135.1 rounded to the nearest ten?\nAnswer: -1140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*q + 153 + 7 = -84. Solve -12 = q*y, 13*b - 8*b - 2*y = -19 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41532414 to the power of 1\/3, to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -39 + 38.9. Which is the closest to o? (a) -3 (b) 1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1352401 divided by -1007\nAnswer: 1343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42 and 1414?\nAnswer: 4242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -299544976 + 599089959 - 299544983 + g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - v + 6 = 13, -b - 3*v = -18. Let p(k) = k**2 + k. Let g be p(b). Solve 2*l = 6*l + g for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 10:07 AM?\nAnswer: 10:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57715, -57694, -57659, -57610, -57547, -57470?\nAnswer: -57379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -40 + 36 - (-11 - 1)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12158 - -90485. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 4*q = -12, -3*q = -5*m + m + 22. Sort 47, -4, m in descending order.\nAnswer: 47, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -224766 + t**2 + 0*t**2 + 224764 + 121*t**3 - t + (2 + 3 - 4)*(-3*t**3 - t**3 + 2*t**3) + 3*t**3 - 3*t**3 + 3*t**3 + 0*t**3 - 2*t**3 + 0*t**3.\nAnswer: 120*t**3 + t**2 - t - 2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 3*s**2\/4 + 63*s\/2 - 138 = 0.\nAnswer: -46, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (-13)\/130 - 11.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -682, -585, -336, 137, 906, 2043?\n\"Answer: 12*a**3 + 4*a**2 + a - 699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, w: 1, k: 3, r: 7, e: 7}. What is prob of sequence kwn?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65519210?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 - a + 1. Let v(r) = 6*r**2 - 7*r + 4. Calculate -4*q(i) + v(i).\nAnswer: 2*i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1157 minus 247?\nAnswer: -246.8843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1344, -2706, -4068?\nAnswer: -5430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**(-1)\/f))**16)**35 assuming f is positive.\nAnswer: f**1680","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {k: 5, l: 1, h: 1, c: 2, v: 7, u: 1}?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -134 - -129 - (-2 + -7 + -58).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 33*z**2 - 956*z - 29.\nAnswer: (z - 29)*(33*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55 - 4*z**3 + z**3 + 4*z**3 - 55.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -11*q**5\/5 - 11*q**3\/3 + 18. What is the third derivative of n(j) wrt j?\nAnswer: -264*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 - 47*f + 97. Determine w(-49).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - -1 - (1 + (-1 - -1))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 50285083?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9036 (base 10) in base 14?\nAnswer: 3416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*(267*6\/72 - 13\/52). Solve 0 = 13*t + 31*t - f for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 41, 328, 931, 2006, 3709, 6196, 9623, 14146?\n\"Answer: 26*q**3 + 2*q**2 + 99*q - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1401741217 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a + 4. Let l(q) = 1. Let x(m) = m**3 + 6*m**2 + 8*m + 11. Let t be x(-5). Determine t*l(g) + c(g).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10.7 + 3.3. Let i = -14.00035 + w. Round i to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 4*p + 6. Let g be h(0). Find the second derivative of -27*u - g + 15*u**4 + 15*u**4 + 26*u wrt u.\nAnswer: 360*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -1. Let x = j - -1.012. What is x rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*p + 363609\/2*p**2 + 1207\/2*p**4 - 364815\/2*p**3 - 1\/2*p**5 + 0.\nAnswer: -p**2*(p - 603)**2*(p - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 9:23 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -640 + 629. Let z(q) = -4*q**2 + 1. Let h(g) = -9*g**2 + 2. Determine w*z(j) + 6*h(j).\nAnswer: -10*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 52 by -10.\nAnswer: -26\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-5)\/(-3))\/((200\/(-48))\/(-5)). Suppose 3*a - 2*i - 4 - 4 = 0, -z*a = -5*i - 9. What is the third biggest value in -2\/11, -0.3, -4, a?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-174)\/(-2) - 1 - 1. Suppose -5*a - 185 = j. Let n = a - -490\/9. Which is bigger: 0 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 150177, 300292, 450413, 600540, 750673, 900812, 1050957?\nAnswer: 1201108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 7*i**2 + 8*i - 3. Let g be p(6). Suppose 0 = 3*t - g*t + 12. What are the prime factors of (t + (-107)\/3)*-3?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19\/18043 + -106110750\/126301. Let w = 837 + k. What is the common denominator of -14\/11 and w?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-45)*(-15)\/(-10)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r - 92 + 106 = 0. Suppose -r*w = -2*u + 186, 0 = -4*u + 2*w + 231 + 133. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of 39*q**2 + 0*q + 1\/24*q**4 + 0 - 2\/3*q**3. Determine u(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/2)\/(3\/(-8)). Let p be 0 - -2 - (-3 + 1). Find the second derivative of -4*b + 3*b**o - b**p + 5*b wrt b.\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 0 = t - 6, 0 = -j - 2*t + 11. Let g(z) = z + 2. Let h(r) = 1. Let l(c) = j*g(c) - 2*h(c). Let x(b) = -10*b**2. Calculate x(l(a)).\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 - -0.1. Let j = 8 + -3. Which is the closest to u? (a) 2 (b) -0.4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 116991, 233940, 350891, 467844?\nAnswer: 584799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-7)*1757\/502\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 151, -172, -25 in ascending order.\nAnswer: -172, -25, 1, 151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of 5\/12*u**4 - 1\/3*u**3 + 3\/2*u**2 - 1\/20*u**5 - 42*u + 0. Give y(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4162, 16757, 37762, 67171, 104978?\n\"Answer: -t**3 + 4211*t**2 - 31*t - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 265 - 263. Let v = 17 + -9. What is the highest common factor of w and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*h*l**3 - h*l**2 - 265*h*l*o**2 - 2*h*l*o + 1198*l**3*o**2 - 2*l*o**2 wrt l.\nAnswer: -12*h*l - 2*h + 7188*l*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - -1. Let a(w) = -s*w**2 - 3*w**2 + 5*w**2. Let n(g) = -6*g - 7. Let z(x) = 4*x + 5. Let h(d) = 5*n(d) + 7*z(d). Determine a(h(u)).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 2:26 PM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, 0.257, -6\/42131, 0.5 in decreasing order.\nAnswer: 26, 0.5, 0.257, -6\/42131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 164*k + 226*k - 384*k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 438\/5*(20\/(-15) + 3)?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -3 + 11 + -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 9*f = 40. Suppose -27*j + 53*j**4 - 3*j**f - 42*j**3 - 48*j**2 + 42*j**4 - 6 - 113*j**4 = 0. What is j?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2377.35439 rounded to the nearest one hundred?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 480 - 476. Suppose 15*u = 176 + a. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 16*k**4 + 13*k**3 - 69*k**2 + 35*k. Let d(l) = 8*l**4 + 6*l**3 - 34*l**2 + 18*l. Let j(a) = 5*d(a) - 2*i(a). Factor j(c).\nAnswer: 4*c*(c - 1)**2*(2*c + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -11*o - 1. Let p be f(16). Let s = -175 - p. Solve 3*c - 12 = 3*a, 0*a - s*a + 5*c - 17 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = -5*f - 67. Let t be (-94 + 0\/(-2))*(-10)\/(-36). Let a = t - f. Which is smaller: 0 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 3*i - 15 = 0, 0 = 372*o - 374*o - 87*i + 257 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 204 = 3*d. What is the remainder when d is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of -8*m**7\/105 - 3*m**5\/10 - m**2 + 12. Let a(h) be the second derivative of n(h). Find the third derivative of a(f) wrt f.\nAnswer: -384*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 3 + 0)*(9*a**2 + 1 - 13*a**2 + 0) as o + g*a**2 + y*a and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3, 3, -12.1, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, -426407, -1, 5, 0 in descending order.\nAnswer: 5, 3, 0, -1, -2, -426407","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3*n + 1. Let y(b) = -17*b**2 - 32*b - 7. Let s(t) = 7*t**2 + 16*t + 4. Let g(h) = -5*s(h) - 2*y(h). Calculate -2*g(x) - 11*r(x).\nAnswer: 2*x**2 - x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 1 + -5)\/((-200)\/50).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -6. Suppose 2*h = 2*f, u*f = -3*h - 2*f + 28. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.97 - -2.97. Let t = -20 - -8. Let g = t + 17. What is the nearest to -2\/7 in s, -1\/4, g?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -11*i - 4. Let k(x) be the third derivative of -x**7\/5040 + 7*x**5\/20 + 9*x**2. Let z(l) be the third derivative of k(l). Give f(z(p)).\nAnswer: 11*p - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v + 7. Let g be k(-5). Suppose -4*x + t = g*t - 746, x - 191 = 2*t. What is the highest common divisor of x and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2758599868 plus 0.353?\nAnswer: -2758599867.647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/2)\/1)\/(((-837)\/(-162))\/31).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9303154513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 144, 153, 184, 249, 360, 529?\n\"Answer: 2*k**3 - k**2 - 2*k + 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 110 = 2*f + 50, -15 = 3*f. Let p(j) = 2*j**2 + 13*j - 9. Let z be p(-7). Let k = d - z. Calculate the remainder when k is divided by 20.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5178 and 4.\nAnswer: -20712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4243 - -15939. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20 + -45?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 11:17 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 42\/(((-5)\/(-60))\/(2\/18)). Suppose 0 = 57*n - u*n - 401. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2\/5 + 354*x\/5 + 1089\/5.\nAnswer: -3*(x - 121)*(x + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -6339\nAnswer: 633.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 3:19 AM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -300 = -34*z + 29*z. What is the lowest common multiple of z and 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 674 + -604. Let z = 148 - i. What is the remainder when z is divided by 22?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 697\/5 in 1\/2, -143, 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 24 = -6*a. Suppose -a + 26 = 5*j. Find the second derivative of 2*m**4 + m**j + 1 + 19*m - 1 wrt m.\nAnswer: 36*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -9*c**2 + 2. Let x(s) = 63007*s**2. Calculate z(x(y)).\nAnswer: -35728938441*y**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000155787627 rounded to five dps?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 26860820?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-680)\/(-110) - 2\/11. Suppose 10*c = s*c. Solve b + 2*b = -3*l - 6, c = b - 3 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = v - 276. Suppose 5*b + 5*u + 85 = v, 2*b = -u + 68. Let y = 54 - b. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -x - 12235. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffff when four letters picked without replacement from ffffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.14 - 0.14. What is the second smallest value in 3, -5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-12)\/k**(-3\/8)*k**(-13\/4)\/(k**(-3)*k) assuming k is positive.\nAnswer: k**(-103\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -879.9 bigger than -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 109, 5, 1\/10, 198\/5 in descending order.\nAnswer: 109, 198\/5, 5, 1\/10, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 - 22. Let s = 0.2 - 1.2. What is the closest to 0.1 in s, h, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.4 + -8.7. Let q = 6.8 + s. Let g = -2\/63 - 40\/63. What is the smallest value in q, -2\/15, -0.2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2 - 35982*q - 107892027.\nAnswer: -3*(q + 5997)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -4 (b) 3\/7 (c) -3\/7 (d) -3 (e) 2\/7543\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10382980 divided by -11435.\nAnswer: 908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -18 - j - 10 - 75*j**2 + 96*j**2 - 30. List the prime factors of c(-7).\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 4*z = 446, 3*b + 222 = -2*z + 692. Let j be (-476)\/(-35) - 2\/(-5). What is the highest common factor of b and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - 3084961754.\nAnswer: -3084961753.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pqqyppqqpyphqppp. Give prob of sequence yhpq.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 118.347 and -9.\nAnswer: 109.347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of 2*x**2 + x + 4. Let a be w(4). Suppose 2*t = -5*d - 25, -t + a = d - 5*t. Sort d, -5, 1 in decreasing order.\nAnswer: 1, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 + 10*v + 15. Let d(j) = -2*j**2 - 20*j - 31. Let l(g) = -9*b(g) - 4*d(g). List the prime factors of l(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 11431414?\nAnswer: 11431421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6786 and 2303470.\nAnswer: 754","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4799248 to 2 dps.\nAnswer: -0.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3935\/6 + -656. What is the closest to 2 in 3, -0.1, s?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -375.9 - -376. Let d = -43\/2 + 21. Which is the nearest to d? (a) m (b) 0 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d + 1566 = -6*d. Suppose -4*p = -j - 112, -4*j - j + p = d. Let k = 128 + j. Does 4 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.03380492 + -0.0338. Round s to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x. Let n be m(-9). Let l be 2\/n - 5\/(-18). Suppose 1\/2*s**5 + 0*s + 0 - l*s**2 + 3\/2*s**3 - 3\/2*s**4 = 0. What is s?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4880030236 to the nearest integer?\nAnswer: 69857","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3203 - -2?\nAnswer: 3205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -484 + 595. Solve -8 = 113*p - x*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 466381 is divided by 6056.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 0 - 2) + (18 - 9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.294? (a) 4 (b) 5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6989?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 1264*y + 64. Let q(p) = p - 4. Let a(h) = -g(h) - 10*q(h). Find the first derivative of a(w) wrt w.\nAnswer: -1274","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 838380647.\nAnswer: 13, 31, 2080349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9341 - 9303 + 27943 + 9*l**2 - 9302 - 42*l**2.\nAnswer: -33*l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*l + h - 27 = -54*l, -5*h = -5*l + 15. Let c be (2\/4)\/(3\/582). Suppose -l*f = -c - 53. Calculate the remainder when f is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 291419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1207079120?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, 7, -47084 in decreasing order.\nAnswer: 22, 7, -47084","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.38 + 0.75. Let a = 0.97 - z. What is a rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, a: 1, q: 2, f: 1, x: 1}. Give prob of picking 1 x and 1 s.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1542, 0, 4.\nAnswer: 0, 4, 1542","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13444 + -13392. Let z(o) = 5*o - 3. What is the smallest common multiple of h and z(3)?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -307 = -g - 4*h, -5*h = -2*g + 171 + 508. Calculate the remainder when g is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 44*b + 4. Determine q(-1).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -604786*g**4 + g**2 - 30090*g + 2 wrt g?\nAnswer: -7257432*g**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of -y**3\/6 - y**2\/2 - 57*y. Let a be k(-10). Solve 0*r = -3*r - a for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4\/(-6)*(-8 - 70)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q + 0*q - q - 1 - 41*q + 44*q - 2 + (4 - 4 - 2)*(3 + q - 3) to the form x*q + n and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -45 + 40 - (-35 + -2 - -5)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21653 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2*p = -64, 5*v - 33*p = -30*p + 106. Solve 4*m = -5*b - 35, -16*b + m = -21*b - v for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 a when three letters picked without replacement from {m: 2, s: 3, a: 5}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 379032900 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010000100100111010 + -10?\nAnswer: -10010000100100111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17594520, -35189024, -52783510, -70377978, -87972428, -105566860?\nAnswer: -123161274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-95)\/8 + 5 + (-11)\/((-1232)\/98).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7164.\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - 3*q**2 + 6*q - 1. List the prime factors of o(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 46.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21708 = -947*q - 57706 - 44272 + 34668 for q.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -0*z + z. Suppose z*w - 34 = -4*o, -2*o = 5*w - 3*o - 52. Let u = -8 + w. Let v(n) = n**2 - 3. Determine v(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1692 and 705?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a decade in months?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from nrlrrlrrnnrnn.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 577 * -2.\nAnswer: -1154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/9 - 18*n**2 + 590*n\/3 - 4550\/9.\nAnswer: -2*(n - 5)**2*(n + 91)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9003384765 to the power of 1\/2, to the nearest integer?\nAnswer: 94886","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - 1. Let p = -1.46 + -0.04. Let g = -1.1 - p. Is g > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 4*d + 4. Let u be m(-23). Suppose -5*v = 4*y + 1, 4*y = 6*v - 3*v + 7. Which is smaller: u or v?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d + 5. Suppose -4*u + v = -4*v - 24, 5*u = -v + 59. Let i = 11 - u. What is h(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2353548 and 33360.\nAnswer: 1668","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -1.21, -0.03, 3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 1 = -4*c - 0*a, -5*a = -c + 6. Let v be (3252\/(-525))\/(107\/(-5)). Let p = v + -2\/535. Is p smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3950*v + 645. Let k(u) = -10*u**2. What is z(k(q))?\nAnswer: -39500*q**2 + 645","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2, 3, 1\/3, 2\/25?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 + 24*c**2 - 18*c + 11. Let t be q(23). Let s be (-408)\/t - (2 + (-8)\/3). Are s and -4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 248688984?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, l: 1, s: 2, n: 1, o: 1}. What is prob of sequence ollv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 + 6*i**2 + 1. Let h be 6*(-2)\/((-2)\/(-1)). Let x be q(h). Solve 0 = 5*s - 4 - x for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**8*(w\/(w**(-1)*w))\/w)**14*(w*w\/(w\/w**(-2\/5))*(w*w\/(w*w**(-2\/7)))\/w*w)**(-39) assuming w is positive.\nAnswer: w**(1346\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 63 = -5*n, 0 = -3*k - 28*n + 29*n + 120. What are the prime factors of k?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2334200331 (base 5) to base 13\nAnswer: -1165534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 - (29 - 76 - -61).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4139 is divided by 143?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12096.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -4 + -1 + 2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3bb618 (base 13) in base 10?\nAnswer: 1453252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1688687 a multiple of 397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -15, -8, 23, 90, 205, 380, 627, 958?\n\"Answer: 2*n**3 - 7*n - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -365 + 1331. Is u a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 4*i + 18 = 0, 4*s = -3*i + 51 - 70 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 586433.1 hours in days?\nAnswer: 24434.7125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d - 9*d + 14 = 3*p, 3*p - 29 = 4*d for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -413958*o**3 - 2*o**2 + 29408*o - 1?\nAnswer: -2483748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36 + 48. Let r = j + -7. Suppose -9*d + r*d + 12 = 0. Solve h + 16 = 5*v, -d = 2*v - 4*h + 5 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/36 and -179\/30?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93845915?\nAnswer: 5, 18769183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-16)\/((y\/(y*y\/y**(-5\/9))*y*y*y*y)\/y)*y**(-1\/20)*y**(3\/20) assuming y is positive.\nAnswer: y**(-1561\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 1 - (-69 + 2\/6 + (-1581)\/(-279))?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*n - 18*n + 55 = -296 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l = 3*l + 760. Suppose 33 = -11*g + 242. Calculate the greatest common factor of l and g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2306951824?\nAnswer: 2, 144184489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*y + 32 = -28. Let j = -22 - -24. What is the nearest to y in 1\/6, j, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 362*r - 670611 + 37111. Is 31 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-3 - 8) - (-1 + -4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 3\/26 (b) 2\/3 (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 3127.30263 to the nearest integer.\nAnswer: 3127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.03 - 0.03. Let p = -0.1 - 3.9. Let h = n + p. What is the third smallest value in -5, 5, h?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 32, 49, 64?\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -507, -441, -379, -327, -291?\n\"Answer: -l**3 + 4*l**2 + 61*l - 571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*n**2 - 4 - 24*n**2 + 4 + 3*n**3 + 45*n.\nAnswer: 3*n**3 + n**2 + 45*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2314*d - 5 + 5 - 2333*d + 4674*d.\nAnswer: 27*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 12:44 PM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 113992, 113999, 114016, 114049, 114104, 114187?\nAnswer: 114304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**4\/15 - 26*k**3\/3 + 354*k**2\/5 - 1026*k\/5 + 1008\/5 = 0. What is k?\nAnswer: 3, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.4, -6661 in descending order.\nAnswer: 3, -0.4, -6661","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 958, 3842, 6726, 9610, 12494?\n\"Answer: 2884*k - 1926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4 + (sqrt(288) + 1)*-3).\nAnswer: -4 + 144*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p**3 + p + 3. Let j(w) = -10*w**3 - 4*w - 9. Calculate 2*j(x) + 7*s(x).\nAnswer: x**3 - x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 118, 443, 978, 1717, 2654, 3783?\n\"Answer: -y**3 + 111*y**2 - y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 892530 or 892531?\nAnswer: 892531","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -595.9002 + 596. Let t = f + -6.9698. What is t rounded to zero decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 126\/(21\/(-3))*(-8)\/(-24)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j + 2345 - 1465 - 2*j + 3799.\nAnswer: -2*j + 4679","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009755187537 rounded to 4 dps?\nAnswer: -0.0098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32802 and 308?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8316*m - 229665 - 310875 for m.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8636*d**5 + 16 - 8448*d**5 - 2*d**2 - 2*d**4 + 2*d**4 wrt d?\nAnswer: 11280*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -8, 2, -2, -2\/21, -3\/44?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 5. Suppose 0 = 2*l - 0*l - z - 13, -4*z + 3 = a*l. Suppose -2*u = -u + l*b + 8, u = -b. Which is smaller: -3 or u?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 182*s - 2. Suppose -2*z + 45 = 3*z. Let n be 3*((-12)\/z)\/(-4). What is the tens digit of x(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -11*k + 14. Let d(i) = 4*i - 5. Let n(g) = -3*a(g) - 8*d(g). What is the remainder when n(5) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5247 is divided by 1546?\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 22560.\nAnswer: 248160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 355 a factor of 312482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -201 - 138383*m + 179 - 74*m**5 - 3*m**4 + m**2 + 138589*m wrt m.\nAnswer: -1480*m**3 - 36*m**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -4) + -3 - (-7 - -4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10008535\/287 - 34873. Let v = -6712\/3157 + j. Calculate the common denominator of v and (-14)\/4*16\/(-3).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -121 - -125. Let r(z) be the second derivative of 0*z**s + 0*z**3 - 1\/30*z**5 - 1\/45*z**6 + 0*z**2 + 0 + 5*z. Factor r(m).\nAnswer: -2*m**3*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3*x**2 - 5*x + 21. Let f be j(10). Suppose 2*d - 3*u - f = 0, -2*u + 318 = 4*d - 184. Calculate the greatest common factor of d and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 4*t = -108, -2*t + 0 = 4. Suppose 3*l - 2 - 2 = -2*c, -c - 5*l = 5. Suppose -f = -c*b - 5. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**3 - 3 + 3)*(-2 - 3 + 0) + (2 - 1 + 1)*(-76 + 76 - 7*q**3).\nAnswer: -9*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.85947584 + 14.\nAnswer: 13.14052416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2579*d*n**2 - 58*d*n*t - d*t - 2*d + 12*n**2*t + n wrt n.\nAnswer: 5158*d + 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 12) to base 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 538374 and 159.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + (-5 - -14) + 5 + -7?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeausuaka. Give prob of sequence uea.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*v + 46 = -12*v + 2*q, 3*q = -v + 33. What is k in 6*k**2 - 50 - 45*k - v*k**2 + 176*k**3 - 177*k**3 = 0?\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - 16*h + 28. Give x(4).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23894.\nAnswer: 2, 13, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19851*q - 19925*q + 2782 = 10922 for q.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 259700?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36*a + 8*a + 488*a**4 - 958*a**4 - 74*a**2 + 88*a**3 + 484*a**4.\nAnswer: 2*a*(a - 1)*(a + 7)*(7*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43247187947 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*y**4 - 2*y**4 - 3*y**4 + (-y - 5*y + 4*y)*(-3*y**3 + 0*y**3 + y**3) + 2*y**3 - 2*y**4 - 2*y**3.\nAnswer: 3*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 7*j - 26. Let w be 1 + (4\/(-3))\/((-7)\/21). Let y be q(w). What is the highest common factor of 279 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -85005043*s**3 + 367215794*s?\nAnswer: -510030258*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*(l*l**5*l)\/l*l*l\/l**(1\/2))\/(l**4*l*l**10) assuming l is positive.\nAnswer: l**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 232187983 to the power of 1\/3, to the nearest integer?\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.9 + 3.1. Let s = 34 + -33.7. Let t = 7 - 11. Which is the biggest value? (a) t (b) y (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22903845\/14 - 1635185. Suppose 0*v = v + 801. Let a = y + v. Find the common denominator of a and -79\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 24 = 4*q, f + 3 = 4*q - 5. Suppose -1 + f + 0 - 3*d**2 = 0. What is d?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 6, a: 4, h: 3}. What is prob of sequence aaa?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, g: 2, c: 4}. What is prob of picking 1 h and 1 g?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231622 is divided by 2032.\nAnswer: 2006","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2584*3633\nAnswer: 9387672","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3122 = -13*t + 613. Let f be (-4)\/6 + (-5834)\/(-30). Let a = f + t. Do a and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000998965 rounded to 7 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = 2*q + 41, 5*r + 37 = -5*q - 13 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9806 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2130 = -6*n + 30. Let g = n - 332. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 56? (a) -4 (b) 3 (c) 2103\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 97\/(-873) - (-37)\/9 - (11 - 4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 42?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 + 4*m - 3. Let u be q(-6). Let a be 44736\/135 - 16\/(-72). Let b = a - 331. Which is smaller: u or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1267.49435 rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-44)\/5 - (228\/15 - 15) - -3\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/(-5) - -1 - 2298582\/(-2145). Which is bigger: 1069 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 14*q = 4*k - q + 5*q + 108, 2*q + 9 = 7*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -164217562119 + -0.05.\nAnswer: -164217562119.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/11, 184, 3.2, -1?\nAnswer: 184","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 9:55 PM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14650255?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 551 - 542. Suppose 106 = -g*j + 232. Solve 2*a = -j + 16 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 1, -9\/5 in increasing order.\nAnswer: -9\/5, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1221 - -400. Let g = 203716.9631 + -202895.93. Let l = g + s. Round l to three decimal places.\nAnswer: 0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3020*n**3 + n**2 + 3935*n.\nAnswer: -18120*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 9:44 AM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.41 - -0.4. Let t = -5.99 + m. Let g = -5.9999944 - t. What is g rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nfnvvnnhnv. Give prob of sequence nv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -162 - -445. Let p = s - 283.117. What is p rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c + 4. Let w(q) = -4*q - 7. Let g(o) = 5*f(o) + 3*w(o). Let d be g(-2). Solve -2 = a - d*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 322547893?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42 - -42.5. Let i = h - 0.8. Which is the nearest to 1? (a) i (b) 0.3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43838 (base 14) to base 6\nAnswer: 3301002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 91070 rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 5*t - 723 = 0, -5*t - 737 - 360 = -3*k. Suppose 3*q + q = k. Round q to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -18, 13, 5, -1, 271, -4 in ascending order.\nAnswer: -18, -4, -1, 0, 5, 13, 271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19\/14 or -6?\nAnswer: -19\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113134 is divided by 56562.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wiim when four letters picked without replacement from {e: 4, m: 3, y: 1, i: 7, g: 2, w: 1}.\nAnswer: 7\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19592 - -193. Round j to the nearest one hundred.\nAnswer: -19400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 g when two letters picked without replacement from {g: 4, n: 1, f: 6, x: 1, u: 4}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.867073934 to 3 dps.\nAnswer: -0.867","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.27 and 81314.\nAnswer: -21954.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 11:59 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**3 + 21*l**2 + 9*l - 4. Let t be p(-10). Suppose -372 = -t*s + 300. Suppose 3*z = s + 71. Is 4 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -8*d - 7. What is the units digit of r(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -40*g**2 - 5*g - 23. Let j(o) = 875*o. What is j(z(v))?\nAnswer: -35000*v**2 - 4375*v - 20125","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*u + 6*u**3 + 334*u**2 - 670*u**2 + 332*u**2.\nAnswer: 6*u**3 - 4*u**2 + 39*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c + 4. Let z = 38 + -33. Let y(f) = 3*f + 7. Let g(w) = z*r(w) - 3*y(w). What is the remainder when 46 is divided by g(13)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8 + (90\/(-24) - 6\/(-8)). Suppose 0 = 2*a - 8, 3*g = -5*a + 8 + 42. Solve -n + 0 = -5*u + 2, o*n - u = -g for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*w - q + 7, -5*w - 328*q + 331*q = 7 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 154 by 11.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -x**3 - 170779289*x - 164100788.\nAnswer: -3*x**2 - 170779289","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99271789.\nAnswer: 17, 19, 101, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Is -128 != -288?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16\/52*((-228)\/24 - -10). Let z = 6 + -8. What is the closest to -2\/9 in -1, l, z?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 4*j - 3 = -3*f, -3*f + 4*j = -3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 89, 237, 761, 1889, 3849, 6869, 11177?\nAnswer: 17001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 41375, 4, -4, 3 in increasing order.\nAnswer: -4, 3, 4, 41375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 2*c - 530, -5*c - 771 = -3*m - 0*c. Suppose 5*s + 3*y = m, -3*y + 4*y + 213 = 4*s. Calculate the remainder when s is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d + 1. Let h(c) = -7*c. Determine -h(w) - 2*k(w).\nAnswer: 9*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 4*h**2 + 48*h + 130. Calculate r(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 1. Let b(q) = -2*q**2 - 8*q - 3. Let f(i) = -2*b(i) + 10*k(i). Determine t so that f(t) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -c**3\/6 - 2413*c**2\/6 + 30433*c\/3 - 34132 = 0?\nAnswer: -2438, 4, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 4. Let j = -0.95 - o. Which is the second biggest value? (a) -1\/6 (b) j (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8931, 4, 0, -4, 3 in decreasing order.\nAnswer: 8931, 4, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 60167277.\nAnswer: 5\/60167277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/7))**(-4\/41)\/(x**(1\/4)\/x)**35)\/((((x**0*x)\/x)\/x*x*x*x*x)**32*x**3\/x**(-1\/5)) assuming x is positive.\nAnswer: x**(-418573\/5740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1979*a - 1979*a - 11*a**2.\nAnswer: -11*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 303 + -24. What are the prime factors of m?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -21 (b) 0.09 (c) -1\/7 (d) -9 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -8*d**2 - 8*d - 31. Let f(u) = 22*u**2 + 23*u + 92. Give 6*f(a) + 17*n(a).\nAnswer: -4*a**2 + 2*a + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 127*u + 965. Calculate q(-8).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 17 and 1.9.\nAnswer: 32.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*l**2 - 52*l**5 - 85 + 80 - 24*l**5 wrt l?\nAnswer: -4560*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 62*b**2 - 32012*b + 74020. Calculate v(514).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -678622?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 - 3*p**2 + 5*p - 13. Let d be r(3). Let l(a) = 8436*a + 2 - 8436*a + 15*a**d. Let t(h) = h. Calculate t(l(u)).\nAnswer: 15*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of 19*k**6\/3 - 49*k**5\/60 + 764*k**2. What is the third derivative of d(g) wrt g?\nAnswer: 4560","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -5*p**3 + p**2 + 3. Let g(h) = -4*h**3 + 4. What is -3*g(z) + 2*l(z)?\nAnswer: 2*z**3 + 2*z**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 357730634?\nAnswer: 357730635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 divided by -5?\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -784819*i - 854286 wrt i.\nAnswer: -784819","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2.9, -6\/7549, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(98)*2)**2 + 4 - ((6*sqrt(98)*-2 + sqrt(98))**2 + -1)) + -3.\nAnswer: -11459","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -197.3071747 + 368?\nAnswer: 170.6928253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1644 - -1746. What is the remainder when 207 is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*j = 62*j - 300 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**3 + 3*l**2 - 3*l + 4. Let f be h(4). Suppose -164*z = -f*z + 12. Let n(v) = -v - z*v + 10 + 4*v + v. Determine n(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 4*q + 48, -4*q + 0*q = -z. Is 3 - -1 - (z - 235) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 8398252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2562 + 35897\/14. Calculate the common denominator of b and -97\/22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 57 + -55. Let x be ((-2)\/1 + 13)*-42 - b. Let m be 5\/((-90)\/x) - (-20)\/90. What is the highest common divisor of m and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 39775188 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 815, 1491, 2169, 2849, 3531?\nAnswer: 4215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of -2*v**3\/21 + 2*v**2\/7 + 6*v\/7 + 19. Suppose n(u) = 0. Calculate u.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 19*p - 13. Let z be y(12). Suppose 5*l = 5*b + z, 4*b + 5*l + 255 = -b. Let m = -1 - b. Is 13 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/((-9)\/(-6))*6. Suppose 2*t + w*f - 46 = t, 2*f = 0. Let y = t + -8. What is the remainder when y is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11104? (a) 432 (b) -4 (c) 2\/11 (d) 0.1 (e) 12\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 666*p**5 + 86267*p**2 - 3*p + 45274172.\nAnswer: 13320*p**3 + 172534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 smaller than 1\/462054?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 plus 13111381143402?\nAnswer: 13111381143409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m + 0*m + 1 + 2*m**2 + 7*m + 0*m. List the prime factors of h(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and -8.8224.\nAnswer: -9.1224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -4870, -5, -3 in ascending order.\nAnswer: -4870, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1252 (base 9) in base 4?\nAnswer: 32222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 1588?\nAnswer: 1588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-26)*d**20)\/(d**(1\/22))**(3\/2) assuming d is positive.\nAnswer: d**(-267\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.172 - -0.2328. What is j rounded to three dps?\nAnswer: 0.061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 4*g - 12 = -3*i, 5*i - 3*g = 24 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -82482 by -6.\nAnswer: 13747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express g**3 - 14428212*g**4 - 4*g**2 + 0*g - g + 14428220*g**4 - 3 in the form k*g + n*g**2 + h*g**4 + y*g**3 + d and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -k**2 + 398416*k = 0.\nAnswer: 0, 398416","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 448 + 1047 + 26500*j - 26502*j to w*j + b and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -82, -134, 5, 1, 3, -17, 44 in ascending order.\nAnswer: -134, -82, -17, 1, 3, 5, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -112578 minus -35562837?\nAnswer: 35450259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, -0.4, 0.02, 5\/2 in increasing order.\nAnswer: -5, -0.4, 0.02, 5\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 32 - 10 - (-2)\/2. Suppose 4*k - 9 = q. Let r(f) = 2*f - 2. What are the prime factors of r(k)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 3*l = 0. Let s = 275 + -272. Let w = 3 + 4. Solve w*j - s*j + 8 = l for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.238 - 101.762. Let w = -101.99828 - u. What is w rounded to 4 decimal places?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 22, 5, -12, -29, -46, -63?\n\"Answer: -17*o + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 197.967 - 4659?\nAnswer: -4461.033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence orn when three letters picked without replacement from {o: 3, n: 1, r: 11}.\nAnswer: 11\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2079 and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gfgfgggggbbb. Give prob of picking 3 b.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/((h\/(h*h**(-1\/4)\/h))\/h)*h\/h**(14\/5) assuming h is positive.\nAnswer: h**(-21\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 4*b + 8, 0*b - 3*b = 2*t - 6. Suppose t = 2*c - 5 - 19. Is c a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) - (sqrt(152) + (sqrt(152) + 4*sqrt(152)*-2 - sqrt(152)) + sqrt(152)))\/((2*sqrt(8) + sqrt(8))*-1))**2.\nAnswer: 931\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3\/8 + 5583*v**2\/8 - 2318421*v\/8 - 266313591\/8.\nAnswer: -3*(v - 977)**2*(v + 93)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19501 is divided by 1385?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1000 (base 3) to base 13\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05329672151 rounded to three dps?\nAnswer: -0.053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -27\/14 (b) 2 (c) -4 (d) 1 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - 12*r**2 + 16*r - 1. Let f be l(11). Solve -6 = 12*g - f for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 4*u = -16, -39*u + 37*u = -a + 6 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -6. Let a = -14 + 20. Is p > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 473, 497, 521, 545, 569, 593?\nAnswer: 617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j = -29*j + 46 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -73*r + 206. Give g(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 - 67*u - 1587. Determine j(-34).\nAnswer: -465","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14507.48 litres to millilitres.\nAnswer: 14507480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 565596, 1131206, 1696816, 2262426?\nAnswer: 2828036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.045731*-4.\nAnswer: -0.182924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 108552?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - ((1 + -2 - -4) + -6 + 0 - -33).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 + 13*q. Let v be s(13). Suppose v = 2*h + 2*h - 64. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -29*a**4\/4 + 89*a**3\/4 - 3*a**2\/2.\nAnswer: -a**2*(a - 3)*(29*a - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, l: 3, s: 11, b: 3}. Give prob of sequence bssb.\nAnswer: 11\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**4 - 381*k**3 - 2379*k**2 - 1995*k.\nAnswer: 3*k*(k - 133)*(k + 1)*(k + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 32*c**4 + 60*c**3 - 48*c**2 - 220*c - 96. Let s(y) = 13*y**4 + 24*y**3 - 19*y**2 - 88*y - 38. Let g(t) = 5*p(t) - 12*s(t). Factor g(z).\nAnswer: 4*(z - 2)*(z + 1)**2*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 5 = -6*n + 2*n, 0 = -3*d - 15. Let j be 3\/5 + 13\/((-260)\/(-48)). Put 1, j, n in ascending order.\nAnswer: 1, j, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 5 = -m + 32, 6 = 2*x. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -56 in -2, -0.06513, -2\/17?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.0168, -45, 28\/5, 21?\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/149025 and -77\/450.\nAnswer: 894150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(1*104\/(-78)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8516832574?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/4))**(-2\/17)*(n\/(n**(-1\/4)\/n))**(-3\/19) assuming n is positive.\nAnswer: n**(-497\/1292)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 102928717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 56\/6*684\/(-304)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10111 is divided by 2010.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 885 divided by -132378.\nAnswer: -295\/44126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1452 by -33.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 1844*n + 1842*n + 62 = 0, 4*w - 26 = 2*n. Let t(i) = -32*i + 26. Let g(y) = -11*y + 9. Give w*g(r) - 4*t(r).\nAnswer: 7*r - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2*c = -20. Let w = c - -27. Is w a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -2*c**4 + c**3\/3 - 2. Let g be b(-1). Is 2\/3 + 21\/g even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + 0\/(1 - 0). Let w be -2 + 4 + (-1 - 0). Suppose -2*f = -9 - w. Sort a, f, -3 in decreasing order.\nAnswer: f, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -216118, 5, 2, -8 in increasing order.\nAnswer: -216118, -8, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -100*z**2 - 506*z - 4. Give o(-5).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l + 6. Let r(t) = t - 5. Let n be (-12)\/3*-42 - -2. Let v = -167 + n. Calculate v*r(z) + 2*m(z).\nAnswer: -z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 9*x = 2*k, k = -5*x + 5*k - 13 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3 - 222*u**2 - 450*u - 226.\nAnswer: 2*(u - 113)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.01319 - 0.0097052. Round u to 4 decimal places.\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 11*t. Let j(l) = 462011*l. Calculate j(w(i)).\nAnswer: 5082121*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**9\/u)**(1\/14))**(-3\/22) assuming u is positive.\nAnswer: u**(-6\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k - 1. Let c(r) = 1. Determine -6*c(u) + w(u).\nAnswer: u - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 13056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -6*o. Suppose -4*g = 3*u - 891, o*u + 2*u = -5*g + 587. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccc when three letters picked without replacement from {x: 2, c: 9}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -6730\nAnswer: -3\/6730","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in 1\/6, -1, 2\/7, -4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6351 is divided by 2109.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33 + -22. Solve 0 = 15*q - d*q - 12 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one tenth of a microgram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*h + 11*h = -32. Let s = -5 - -8. Suppose -24 = -z + 5*j, 0 = 4*z - s*j - h - 12. Is 4 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of f**4\/24 + 26*f**3\/3 + 103*f**2\/4 - f - 573. Factor w(z).\nAnswer: (z + 1)*(z + 103)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kyi when three letters picked without replacement from {k: 1, i: 1, y: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4359580, -8719172, -13078762, -17438350, -21797936, -26157520, -30517102?\nAnswer: -34876682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -685 + 687. Solve 2*d - 3*z - 6 = -0*d, q*z = 2*d - 4 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 289\/(-4) + (-11)\/(-44). Let g(p) = 5*p - 2. Let h be g(2). Calculate the common denominator of -93\/14 and ((-54)\/h)\/(j\/(-66)).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of -z**5\/20 + 5*z**4\/84 + 8*z**3\/21 + 2*z**2\/7 + 114*z. Let w(v) = 0. What is v?\nAnswer: -1, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 + 21. Suppose 0 = 4*a - 0*a + 12, 4*d + p = -a. Solve 2*r = -10 - d for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b + 2. Let m be w(0). Suppose -f + 4*d = 2, 0 = -0*d - 2*d + m. Suppose -73 = -f*r - 25. Is r a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144 - 297*v**2 - 4*v - 263*v**2 + 0*v - 109.\nAnswer: -560*v**2 - 4*v + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 48\/(-28)*(-21)\/(-6). Let g(j) be the first derivative of j**4\/4 - 2*j - 1. Let o(a) = -2*a**3 + 4. Give d*o(q) - 13*g(q).\nAnswer: -q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 4*r - 5170 = 14960, -5*w = -r - 50352. Suppose 1317 - w = -6*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence www when three letters picked without replacement from {w: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 4*y - 3 - 14*y**2 + 0 + 4*y + 13*y**2. Let i be q(7). Let v(k) = -k**3 - 82*k**2 + 160*k - 664. Let l be v(-84). Solve l = 4*u - i for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**(3\/29)*v)*v)\/v)\/(v\/(v**23\/v)*v)*v**(2\/3)*v**37 assuming v is positive.\nAnswer: v**(5008\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 259*y - 257*y = -5, 0 = 4*m - 2*y - 8. Let l(o) = o**2 - o + 1. Let s(z) = z**2 - 2*z + 5. Give m*s(c) - 2*l(c).\nAnswer: -c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - ((-3)\/(-3) - 1). Let v = -2 - 3. Put 0, v, h in increasing order.\nAnswer: v, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*k - 2*k**3 + 3*k**3 - 3*k**3 + 5*k**3 to z*k**2 + s*k + r*k**3 + h and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/10 and 53\/12042?\nAnswer: 60210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 13*a**2 + 24*a - 6*a**2 + 3*a**2 - 7*a**2 - 7*a**2 = 0. What is a?\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 893094 by 148849.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = 2*o + 33, 11360*m - 2*o - 5 = 11359*m for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a century in months?\nAnswer: 25800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 7:56 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80812 and 25988.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -20, 3*k = -4*x + 1 + 30 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 130 divided by 1.\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 6.194\nAnswer: 6.194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*r = 6*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 102.5 and -16.\nAnswer: 86.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*v = -36*v - 74*v + 251206. What is the greatest common divisor of v and 1397?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 265, -224, -715, -1208?\nAnswer: -1703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*v**3 + 11*v**3 - 3*v + 2*v**2 - 1 - 3*v**2 + 18*v**3 to t + w*v**3 + m*v**2 + a*v and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -311*x**6 + 3*x**2 - 3 wrt x.\nAnswer: -37320*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 35.5 - 7950046514.\nAnswer: -7950046478.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 742 divided by 1192\nAnswer: 371\/596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -401 - -405. Let x(r) = 6*r**3 + r + 2*r - 3*r**2 - r**2 + 5. Let h(a) = 5*a**3 - 3*a**2 + 2*a + 4. Determine t*x(c) - 5*h(c).\nAnswer: -c**3 - c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.1 - -1.1. Let k = 1 + z. Does 7 = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 10310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 3)*(-2000*o**2 + 3979*o**2 - 4162*o**2) + (2 - 2 - o)*(3*o - 4*o + 0*o) - 5*o**2 - 2*o**2 + 5*o**2 + 3*o**2 + 2*o**2 - 3*o**2.\nAnswer: -2182*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 169.\nAnswer: 33.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-10)*235\/(-141)*(-23)\/4?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -93043, -93029, -93013, -92995?\n\"Answer: v**2 + 11*v - 93055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of m**5\/40 + 7*m**4\/48 + m**3\/12 - 3*m**2\/8 - 42*m. Suppose i(h) = 0. What is h?\nAnswer: -3, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t + 40. Let b be l(18). Suppose 0 = -2*r - 3*n + b*n, -4*r + 28 = 5*n. Let w = 85 + -80. Sort w, r, 7, -4.\nAnswer: -4, r, w, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -13*h - 489. Calculate g(-44).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 43\/4, -5, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.35 - -0.05. Let y = 22.1 - 22. Which is bigger: s or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -0.4. Let q = 38 - 37.8. What is the nearest to 1 in 5, b, q?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1\/10 (b) -1 (c) 4 (d) 0.025 (e) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -9 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjjjajjjjjjjjjjjj. What is prob of picking 3 j?\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*r**3 + 22*r**2 - 3*r - 42*r**3 - 22*r**2.\nAnswer: -30*r**3 - 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 4 + 3 + 1 - 10 + 11*r**2. Let s(n) = 11*n**2 - 2. What is 3*s(b) - 2*y(b)?\nAnswer: 11*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 96 + -95. Let y(u) = u**2 - 7*u + 13. Let p be y(5). What is the second biggest value in f, p, -31?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bqbqb. What is prob of sequence bq?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do 597 and 614 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -8*a**2 - 10. Let i(c) = -342813*c. Give n(i(y)).\nAnswer: -940166023752*y**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 205367?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 + (-8)\/(-1))*2. Solve 0 = 2*o - i for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19377628?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1194*g + 5 - 8 - 1191*g + 3.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 - 8*c + 2. Let a be n(-8). Let b(p) = 2*p**2. Determine b(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32 - (-12 - -13) - 3 - (1 + 1)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17449*k**4 + k**2 - 163199.\nAnswer: 69796*k**3 + 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*m - 24. Suppose 3*l - 18 = -3*p - 6, -2*l - 4*p + m = 0. Suppose 0 = q - 31 + 25. Calculate the remainder when q is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 168?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = y + 3*a, 2*y - 5*a = -0*y - 12. Let i(r) = -51*r + 45. Does 39 divide i(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 614 by -307.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 163, 174, 197, 238, 303?\n\"Answer: w**3 + 4*w + 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k + 11. What is the units digit of t(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 3*h - 13 = 0, 4*x - 5 + 6 = h. Suppose 4*y + 3 = 3*l - 6, -4*y = 0. Suppose -2*c = l*r - 3*c - 9, -5*c = 0. Put r, x, -5\/4 in descending order.\nAnswer: r, x, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 6101, 0, 2, -1 in ascending order.\nAnswer: -2, -1, 0, 2, 6101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxkx when four letters picked without replacement from {x: 4, k: 6}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 3*b**2 - 16. Let i be o(-5). Let s = -57 + i. Let y be -3*(-1)\/3 - 0 - -5. Solve 0 = s*j - 5*j - y for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*q + 8 = 3*z - 16*q, 0 = 2*z - 4*q - 10 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6973487698 to the nearest integer?\nAnswer: 83507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + sqrt(52)\/sqrt(4) + 0 + sqrt(26)\/sqrt(8))**2 + -2*(2*sqrt(832))**2.\nAnswer: -26299\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7320 + 7222. What is the nearest to 1 in m, 5, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -889*h + 928*h = 546. Solve -79*p - h = -72*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -95 + 27*i**2 + 93 - 226*i - 27*i**2 - 753*i - 2*i**3 in the form w*i + r*i**2 + s*i**3 + v and give w.\nAnswer: -979","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*4220246\nAnswer: -422024.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -116.6 + 128. Let q = d - 1.4. Let j = q + -9.2. Which is greater: j or 2\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bwp when three letters picked without replacement from {n: 2, f: 1, q: 1, p: 1, b: 1, w: 2}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0507 - 0.5507. What is the second smallest value in o, -0.03, -5, -0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*o + 28*o + 160 = 0. Suppose -b + 15 + 114 = 2*c, -3*c - 387 = -3*b. Let v = o + b. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -5*k - 28, 3*h - k = 5. Let d(z) = 10*z**2 - 13*z**2 + 0*z**2 + 7*z**2 + 17*z**h. Let f(p) = -2*p. Calculate d(f(g)).\nAnswer: 84*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 789\/55 - 74\/5. Which is greater: r or -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/3)\/(y*y**(-2)))**(-29))**(-13\/3) assuming y is positive.\nAnswer: y**(377\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (32\/10)\/((-2)\/(-10)). What are the prime factors of (-6)\/4 - (-184)\/h?\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 560422 and 3110?\nAnswer: 2802110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 + 0*n**2 - n**2)*(46 + 6*n**2 - 46) + (n + n + 0*n)*(-2*n**3 + 4*n**3 - 3*n**3).\nAnswer: -14*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 148621?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9126 + -5934. List the prime factors of n.\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (29 + 600 - 410 + 7776)*(-6*r - 11*r + 10*r) to the form l*r + f and give l.\nAnswer: -55965","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to 0.2988?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = 3*t + 40, 59590*t = -3*s + 59593*t + 60 for s.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21359350 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 583.08 to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-1 + 2) - ((-2 - (-50 - -4)) + 0)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 - (8 - (-10 - ((14 - 16) + -5))).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 222992 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -17. Let o be (-2096)\/(-1572)*(0 + -2)\/16*3. Which is the smallest value? (a) 1\/5 (b) o (c) i (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 0, -3*t + 0*t - a + 18 = 0. Calculate the lowest common multiple of t and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 + 3*v - 4. Determine i(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.4 + 0. What is the second biggest value in 1, n, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**3\/5 - 18820752*w**2\/5 - w\/5 + 18820752\/5 = 0. What is w?\nAnswer: -1, 1, 18820752","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 5*c - 12*c + 0*c**2 + 1 + 2*c**2. Let o be n(6). Let u = -16 + o. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116 + 2 + 2*k - 12.\nAnswer: 2*k - 126","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3\/4)*m*m*m)\/(m\/m**(-17)) assuming m is positive.\nAnswer: m**(-63\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 3:08 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of r**4\/8 - r**2 + 32. Let y(v) = 3*v. Calculate y(h(q)).\nAnswer: 9*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 0 + 0)*(-2*r + 4*r - r) - 6*r + 8*r + 2*r)*(5*r + r - 2*r) + r**2 - 4*r**2 + r**2 + (2 - 3 + 0)*(-3 + 2*r**2 + 3).\nAnswer: 20*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*w**2 + 0 - 1)*(-2*w + 0*w - 2*w) + 2 - 2 - 3*w**3.\nAnswer: 5*w**3 - 8*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 12:50 PM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 1 (b) -8\/7 (c) -1\/6 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 0*z - z + 295, -5*g = 2*z - 368. What are the prime factors of g?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 7911916.\nAnswer: 79119160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + 0 - 9\/7. Let q = 2 - 4. Suppose -6*h + h = 5. What is the closest to q in b, h, 0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -76.54 - -98. What is o rounded to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 4.2. Let z = 0.5 + d. Let m = z + -0.2. Sort 0.5, -4, m.\nAnswer: -4, m, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1683129646 + -1683129884.1890434. Let v = u + 173.18904472. Let g = -65 - v. Round g to 7 dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 54 - 59. Let u be 2*(2\/4 + 0). What is the nearest to u in s, -0.3, -1\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 721 in 0.1, 2, 21, 0.5?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 j, and 1 b when three letters picked without replacement from tbtljrbllstrb.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 31\/5 of a hour?\nAnswer: 22320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -7*t**3 + t**2. Let s be ((-1)\/1)\/(2\/2). Let o be (-1)\/(0 - (0 - s)). Give r(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 602637786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of 11\/2*c**2 + 11 - c. Calculate b(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = 4*h - 12*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 14) in base 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/5 - 3349*z**2\/5 - 6902233*z\/5 - 2872615187\/5.\nAnswer: (z - 4883)*(z + 767)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xpfp when four letters picked without replacement from {o: 2, p: 2, x: 1, n: 4, f: 1}.\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - 0. Suppose 0 = -3*d + 3, d - 10209 = -2*i - 10206. What is the third smallest value in i, 0.4, x?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2686660680?\nAnswer: 2, 3, 5, 11, 2035349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = 14*z - 1, -11*z - 21*z + 5*b + 5 = -31*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-7)\/21)\/(((-21)\/108)\/7). Which is bigger: h or 8?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31370?\nAnswer: 2, 5, 3137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 = 142*b - 137*b. Let k be 656\/6 - ((-98)\/b)\/7. Let o(f) = 9*f**3 + f. Let j be o(1). What is the greatest common divisor of j and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -2033, 0, 1\/4 in descending order.\nAnswer: 1\/4, 0, -2033","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.242587 litres to millilitres.\nAnswer: 6242.587","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -1 + 3 - 2*n + 7*n. Suppose -40 = -4*h - 12. Is p(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 947838?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1376 and 427640.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + k - 5 = -4*k, k - 1 = 0. Solve -2*d + 35 = -5*q, c*d - 4*d = 3*q - 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -5*n**3 - 11*n**2 - 3*n - 6. Let o(r) = 11*r**3 + 23*r**2 + 7*r + 14. Determine 7*m(q) + 3*o(q).\nAnswer: -2*q**3 - 8*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/12)*c**(-2\/3))\/((c*c\/(c*c**(-2\/49)))\/(c**11\/c)) assuming c is positive.\nAnswer: c**(1609\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -79, -90, -115, -160, -231, -334, -475, -660?\n\"Answer: -j**3 - j**2 - j - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 11*t**2 - 17*t - 23. Let l be j(-11). Suppose 0 = -2*o - c + 160, 0*o + 2*c = -2*o + l. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 14*l = 9*l - 779, -1518 = -4*d + 2*l. What is the highest common factor of d and 464?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 926?\nAnswer: 11112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1602911 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 713 + -696. Suppose 0 = -2*d + i + 82, 2*i + i = 4*d - 166. What is the remainder when d is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 28*n**2 - 1456*n + 18175. Give w(21).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -t + 25. Suppose -t = 3*g + 1. Let m = 5 + g. Solve 2*n = 2*q - 10, -5*n + m*q - 19 = -0*q for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 - 1000000000010000111110?\nAnswer: -1000000000010001000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**2. Let n be 1 + 0 + 19 + -15. Suppose -2*v - 309 = -n*k, 6 = -5*v - 4. Let u(d) = 37*d**2 - k*d**2 + 34*d**2. Calculate u(z(h)).\nAnswer: 40*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g - g = 4*d + 15, 6 = -2*d for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/4 (b) 0.1 (c) -37972 (d) -102\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 3*s - 15, 10 = 2*s - t - 0*t. Suppose 0 = -s*d - 7906 + 24531. Let p = d + -5025. Round p to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 13 = -4*v, 0 = 2*k + 3*k - 4*v - 1. What is the biggest value in 1, k, 0.5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 5)*(-1 - y + 1) + (-y + 3*y + 0*y)*(3 + 2 - 2) + 0*y + 0*y - y + y - y - 3*y.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(-14) - 72\/(-21). Suppose s + 2 = -3*u, -u = -5*s + g*u - 50. Let y(t) = t**2 - 2. Let v be y(0). Which is greater: s or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 436*f - 414*f - 330. What is the least common multiple of f and 380?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 4*k = -0*k + 3940, 3*w - 2*k = -2362. Let p = w + 820. Let t be (-2)\/5 + (-44)\/(-10). What is the greatest common divisor of t and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1041*p + 2 + 525*p - 2 + 519*p.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 12 = -q, -2*d - q = 8. Let n = 8 + d. Is 2 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 75\/73 in -2\/11, -165, 5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 68606459 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rf when two letters picked without replacement from krqdkbffbqqq.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 536608220 and -0.5?\nAnswer: -268304110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-240)\/36)\/(4\/(-126)). Calculate the greatest common factor of t and 90.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 6 = 4*i, 0 = 5*i + 13 + 2. Let o(k) = k**3 + 5*k**2 - 7*k - 3. Let m be o(h). Sort -3, m, -2 in decreasing order.\nAnswer: m, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 1 + 3 - 40\/(-19).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r - 6. Suppose -8*s = -7 + 55. Calculate w(s).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 632\/(-20)*57070\/(-52) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8473*r = -8453*r. What is the fourth biggest value in 0.4, -2\/7, r, 0.1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15014\/35 + 2182\/5. Let b = -7 + w. Put -1, b, 1\/2 in descending order.\nAnswer: 1\/2, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2139 - 2421.6. Let z = 283 + g. Which is the smallest value? (a) z (b) -2 (c) -3 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 39, -5, -1, 2, -9, 3 in descending order.\nAnswer: 39, 3, 2, -1, -5, -7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12.6 - -12.816. Let i = -15.784 - k. Put i, -3\/7, 0.1 in ascending order.\nAnswer: i, -3\/7, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 375 and 14602257?\nAnswer: 1825282125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a meter in centimeters?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -42079 to the nearest one thousand.\nAnswer: -42000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 150 = 4*b - 2*g, -4*b + 276 = 4*g. Calculate the remainder when b is divided by 4 - (-6)\/((-6)\/(-7)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 90*a + 7. Let t = 70 - 69. Is p(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4851*j**5 + 2*j**4 + 6*j**3 + 11*j**2 - 11425*j?\nAnswer: 291060*j**2 + 48*j + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 143 - 142. Suppose 5*r = 3*r. Suppose r = 4*m - 5*d - 8, -3*m - 5*d + 1 + 5 = 0. Put z, -13, m, -2 in descending order.\nAnswer: m, z, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -455 + 457. Factor 0 - 4\/5*a + 2\/5*a**f.\nAnswer: 2*a*(a - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1364?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-6*8\/60)\/1\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4*k = 19, 0 = -3*d + k + 11 + 2. Let g(m) = -3*m**2 - 14*m + 3*m**2 - 6*m**d. Let w(t) = 4*t**3 + 9*t. Calculate -5*g(z) - 8*w(z).\nAnswer: -2*z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = 3*i + 16, 5*s - 26 - 7 = 4*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cezx when four letters picked without replacement from ppxxcxpbxxppepzz?\nAnswer: 1\/4368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 9:37 PM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(-7)\/g*g\/g**(2\/5)*(g\/(g*g**(-1\/2)))**(-1\/8)*g**(-1)*g*g**2*(g\/g**(2\/5)*g)\/(g\/(g*g**0)) assuming g is positive.\nAnswer: g**(-229\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 17 = w, 7 = -4*w - 4*z + 39 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + 21055316?\nAnswer: 21055316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8254 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 175576?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1103472*a + 13036434 with respect to a.\nAnswer: -1103472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8646 + -8642. Which is the fourth biggest value? (a) -0.6 (b) -4 (c) -2 (d) -9 (e) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 14. Let c = -209 - -212. Calculate the greatest common divisor of c and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.71 and -15282496.973.\nAnswer: -15282496.263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30041946 is divided by 29?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 36628305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17304785*i**2 + 2*i + 448188646.\nAnswer: 34609570*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -882*o + 877*o - 25*t + 115 = 5*t, 0 = 5*t - 20 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3180103217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26.47 + -26.57. Sort -0.4, n, 2\/3, 1.4, 38 in descending order.\nAnswer: 38, 1.4, 2\/3, n, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180157 is divided by 78?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4.14 from -206063.\nAnswer: -206058.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3398574, 3398572, 3398570, 3398568?\n\"Answer: -2*x + 3398576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q - 4. Let u = 868 - 874. Let c(h) = -2*h + 5. Calculate u*p(n) - 5*c(n).\nAnswer: 4*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.059 - -39.059. Let y = -39.000045 + u. Round y to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 194294.\nAnswer: 2, 19, 5113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-392)\/42*(-9)\/4. Suppose 3*w = 4*w - t*w. Solve w = -4*l + l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 27*m - 401. Let p be b(16). Suppose -15*t = 106 - p. Let k(w) be the first derivative of -5*w**2\/2 + w - 1. Give k(t).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 3*k - 128. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 4 + 36. Let l = s - -23. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 35 = 4*b, b - 3*x - 10 = -14 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -3, -15.6, 2\/3479 in decreasing order.\nAnswer: 2\/3479, -3, -14, -15.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (-3)\/((-36)\/(-96))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 426 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79 = -73*f - 338 - 179 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 441717623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + 4 + (0 - -1). Suppose -3*q - 42 = 3*b + 12, -10 = 5*q. Let c = g - b. What is the smallest common multiple of 18 and c?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 202759?\nAnswer: 17, 11927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h + 32. Let p(q) = 1042. Let l(o) = -87. Let i(f) = 12*l(f) + p(f). What is 2*b(g) + 22*i(g)?\nAnswer: -2*g + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 + 76 = 5*j. Suppose -4*v - 4*t + 92 = 0, -2*v - 4*t = -3*v + 8. Calculate the least common multiple of v and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1406 + 1409. Let t be 22\/y + -1*7. Solve 0 + 1\/6*s**3 - 1\/2*s**2 + t*s = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4085\/924)\/5 - (-30)\/(-165). Let o = t + -1\/28. Let b = 7.8 + -8. Sort b, o, -2\/3 in ascending order.\nAnswer: -2\/3, b, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 + 11*n. Let t be h(-11). Suppose -401 = -f - q, t = 4*f + 2*q - 625 - 979. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -1004*n + 325. Is y(-11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*a**3*o**3*u - 6*a**3*o*u**3 + a**3*u**2 - 2*a**2*o**3*u**2 + 84*a**2*o*u - 1892*a*o**3*u**3 + a*o**3*u**2 wrt u.\nAnswer: -36*a**3*o - 11352*a*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/16338 and -97\/10.\nAnswer: 81690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 5*r - 940 = -4*s, -752 = 4*r + 3*s. Let g = r + 203. What is the highest common factor of g and 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -84 - -78. Let h(b) = -11*b - 64. Let q be h(f). Suppose 2*d + q*d - 24 = 0. Solve 0 = 2*z + d - 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r**2 + r + 2. Let x(p) = 10*p**2 - 2*p + 8. Let o(q) = 2*n(q) + x(q). Let w(g) = -g**2 - 2. Give -6*o(u) - 34*w(u).\nAnswer: -2*u**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8563, -2, 34\/21, 1\/6 in decreasing order.\nAnswer: 8563, 34\/21, 1\/6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*q**2 + 110*q - 67*q + 6*q**2)*(-2*q**2 + 2*q**2 + 2*q**2) + 2*q**4 + 0*q + 0*q as c + g*q + i*q**4 + l*q**2 + k*q**3 and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19308 and 4779?\nAnswer: 30757644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -116*k - 200*k - 2*k - 43*k to v + f*k and give f.\nAnswer: -361","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 101 - 789 = 0. Let t = b - -175. Solve -3*r + 3 = -t for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -810634881070 and 6.\nAnswer: -810634881064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4363 - 3788. Does 2 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17830 - -8451. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -13\/4. Let i = 21 - 22.2. Let l = i + 1.2. What is the closest to g in l, 0.1, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 131113?\nAnswer: -131122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 20a2a (base 16) in base 7?\nAnswer: 1064502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 9*x**5 + 330*x**4 + 1123*x**3 - 19498*x**2 + 24100*x - 7800 = 0.\nAnswer: -30, -13, 2\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 165571 - 165571 - j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 311 (base 7) to base 10\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 8 (b) 14.5 (c) 0.2 (d) -4 (e) -2\/7 (f) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - (-3 + 5) - (64 + -76)) + 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 290561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.1, -56, 3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2\/2 - 8160*o - 212667\/2.\nAnswer: 3*(o - 5453)*(o + 13)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - 3345?\nAnswer: -3346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 580\/(-24) + 24 - 98\/(-12).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1008601?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45 + 32. Let l = y - -13.118. What is l rounded to two decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 25*w**3 + 92265*w**2 - 14340910*w + 5721600 = 0.\nAnswer: -3840, 2\/5, 149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5725000159 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 494 = -2*w, 5*w + 25 = 3*r - 290. Let u(d) = 679*d - 98445. What is the lowest common multiple of u(145) and r?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k*k**(8\/7))*k*k\/(k*k*k**(-4\/19)) assuming k is positive.\nAnswer: k**(-124\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -30\/46877, -0.3, 1\/5, -1?\nAnswer: -30\/46877","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1385141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -143*p - 1961 - 1927 + 1314 for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5*q = 15753. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 550*x - 246*x + 29406 = -448*x - 379*x for x.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -539\/25 - -2171\/100. Let i(y) be the third derivative of 0 - s*y**4 - 1\/10*y**5 + 0*y + 0*y**3 - 1\/525*y**7 - 19*y**2 - 7\/300*y**6. Factor i(j).\nAnswer: -2*j*(j + 1)*(j + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a**2 - 25*a - 48. Let d be x(-10). Put -4, -1, 5, d, 3 in ascending order.\nAnswer: -4, -1, d, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = 17*r - 310. Suppose -r*z + 78 = -5*z. Solve z*g + 12 = 3*j, 2*j - 5 = 5*g + 18 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**4\/2 + 85*l**3\/2 - 167*l**2\/2 + 83*l\/2 = 0.\nAnswer: 0, 1, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 11*k + 3504 = 0. Let x = k + -275. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from pmmp?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 6.6. Let p = 4765 + -4764. Which is the closest to -1\/3? (a) 3 (b) w (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 988 and 10?\nAnswer: 4940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 10 + -6 + 1 - -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 503396 and 13948.\nAnswer: 1268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31 - 30.67. Let i = -3 + 2.97. Let m = n + i. Which is the biggest value? (a) m (b) 2 (c) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -17*b - 119. Let s(a) = 12*a + 80. Determine -5*p(m) - 7*s(m).\nAnswer: m + 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 97429 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 2)*(-1 + 3 + 0)*(3*p - p**5 - 3*p).\nAnswer: 6*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6, 51, 118, 201, 306, 439?\n\"Answer: i**3 - i**2 + 53*i - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7 + 3 - -2 - 15\/(-3). Let g be (0 - (3 - -31))\/((-2)\/4). Calculate the highest common factor of t and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 38236 and 189784386.\nAnswer: 379568772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 36201 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - r - 17, -2*r - 13 - 1 = -3*k. Suppose -5*b - k*w = -4*b - 41, w = b - 21. Calculate the highest common divisor of 75 and b.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - -b?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 248840 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, s: 16}. Give prob of sequence sdsd.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2305935 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -272 + 604. Suppose -2*s = -4*s + i. Does 3 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2 + 240*q + 244.\nAnswer: -4*(q - 61)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2914\/10 + (3 - 36\/15). Suppose 4*n + o = 236, 9*n + 2*o - z = 4*n. Let y be 399\/(-1035) - 3\/(n\/(-8)). Which is greater: y or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnu when three letters picked without replacement from {z: 2, e: 1, n: 2, u: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 4:04 AM?\nAnswer: 4:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -42*q**5 + 185*q**4 - 185*q**4 + (3*q - 3*q - 2*q**2)*(q - q - 2*q**3) - 3 + 3 - 2*q**5.\nAnswer: -40*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m**3 + 40*m - 40*m.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 23*i**3 - 2*i**2 - 7*i - 11. Let x(a) = -12*a**3 + a**2 + 3*a + 5. Let p(h) = 4*g(h) + 9*x(h). Let l be (-28)\/126*18\/(-4). Calculate p(l).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15090, -15093, -15106, -15141, -15210, -15325, -15498?\nAnswer: -15741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**2 - 8*v + 4. Let u be g(8). Suppose 0 = 3*j + 20 - u. What is the remainder when 29 is divided by j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1251827 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*660.\nAnswer: 3300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 262135?\nAnswer: 5, 103, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 2*b + 32 = 0, 111*b + 36 = 4*f + 107*b for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(480)\/(sqrt(84)\/sqrt(7))*-4)\/(1*(5*-2*sqrt(8) + sqrt(8))*-2).\nAnswer: -4*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(396) - (sqrt(396) - (4 + sqrt(396))))**2*-1 + sqrt(396))*-4 + (-4 + sqrt(396))**2 + sqrt(396) + 3 + 3)*4.\nAnswer: -24792 - 1512*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -339273248*m**5 - 57165522*m wrt m?\nAnswer: -6785464960*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -15*x + 4. Let c(f) = -54*f + 17. Determine 4*c(i) - 15*z(i).\nAnswer: 9*i + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 182 + -182. Solve -b + 4 = -g - 0, j = -2*g + 4*b - 14 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -772.378 - -772. Is -2 at least f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11582782 and 57913910.\nAnswer: 57913910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + a = 136. Suppose -26 = -12*k + a. Let h(c) = k*c**2 + 58*c**3 - 2 - 3*c**2 + 0*c**2 - c - 57*c**3. Give h(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18089?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 817 - 10*s**3 - 406 - 411 + 2*s**3.\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -2. Let m(a) = -4*a + 18. Let g(v) = 5*v - 20. Let b(r) = 5*g(r) + 6*m(r). Let l be b(o). Sort -3, -2, l in decreasing order.\nAnswer: l, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + n**3 + 2)*(2 - 2 - 3) + (1 + n - 1)*(3 + 9*n**2 - 3) to the form j*n**3 + l*n + c*n**2 + a and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2911318807 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.6 + 3. Let t = 2 + -2.1. Which is the third biggest value? (a) t (b) m (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1042, 4079, 9106, 16129, 25154, 36187?\n\"Answer: l**3 + 989*l**2 + 63*l - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 312157?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126*d - n - 7275 = -129*d, 9 = 3*n. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, -2\/9, -1, 1\/6, -0.5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + 3*c + (-1 + 4 - 1)*(c - 2 + 2) - 4*c + 4*c - 4*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2197 is divided by 31.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 9:30 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 54249 = 5*n, -36 = -3*n - 54. What are the prime factors of a?\nAnswer: 11, 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 295411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -43\/3*m - 92\/3*m**2 + 0 - 55\/3*m**3 - 2*m**4.\nAnswer: -m*(m + 1)**2*(6*m + 43)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 785 is divided by 122.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 663077.\nAnswer: 37, 17921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/9, -0.2, -16 in descending order.\nAnswer: 4\/9, -0.2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 20 - 34 = 0. Let l = x - -22. Suppose -2*k + l*k = 58. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -2\/5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from zgzsgsszz.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/10 of a millennium?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + s + 0*s)*(-3 + 7 - 2 + 0 + 0 - 2 + (2 - 5 + 1)*(0 + 2 - 3) - 1 + 3 + 0 - 2 + 4 + 1 + 1 - 2 + 3 - 2 + 2 - 2 + 10 + 0 - 3)*(0*s**2 + 3*s**2 + 0*s**2).\nAnswer: 84*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 58*y - 65*y + 147. Let o(g) = -g**2 + 6 + 16*g - y*g + 5*g. Let r(v) = -3*v**2. Determine r(o(i)).\nAnswer: -3*i**4 + 36*i**2 - 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(55)\/(sqrt(25)\/(sqrt(20)\/sqrt(4)) + sqrt(5) + sqrt(5)) + 3*((sqrt(11)*-2 - sqrt(11)) + 3)).\nAnswer: -27 + 26*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.1340703 millennia?\nAnswer: 1608.8436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 6 (b) -0.2 (c) 17\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1766201.\nAnswer: 1766201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 35*q + 100. Let k be h(-3). Sort 5, 3, k, -2 in decreasing order.\nAnswer: 5, 3, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.8 - 0.2. Let x = -186 - -196. Suppose 2*h + 4*j - 26 = 0, 4 = 2*h + j - x. Which is the nearest to -1\/4? (a) l (b) h (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1339805 and 1607766.\nAnswer: 8038830","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Is 244665847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 11:41 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of -z**7\/140 + z**4\/3 - 5*z**3\/3 - 17*z. Let o(h) be the second derivative of g(h). Differentiate o(w) wrt w.\nAnswer: -18*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-108)\/(-75)*((640\/(-480))\/(3\/(-6)))\/12.\nAnswer: 8\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide (-6)\/(3 + (-540)\/177)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -4*p + 250, 0 = -3*t - 2*p - 2*p + 365. Suppose -2*w = 3*w - t. Suppose 0*l + w = l. Does 8 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -5*l**3 + 13*l**2 + 2*l + 3. Let x(m) = 9*m**3 - 25*m**2 - 5*m - 5. Let h(g) = 11*p(g) + 6*x(g). Suppose -z - 1 = 6. Is h(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40, 298, 998, 2362, 4612, 7970?\nAnswer: 12658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13185 and 5220?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**2 + 27*k - 247. Let x be t(7). Solve 11*c = 6*c + 3*i + 16, 0 = -5*c - 5*i + x for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/324 and -145\/7128.\nAnswer: 7128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 0.2, 53\/3 in descending order.\nAnswer: 53\/3, 4, 0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-22)*150\/125\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*n*r**4 - 163*n*r**2 - 12*r**5 + 1 wrt r.\nAnswer: 408*n*r - 720*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50649319?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 1321135.\nAnswer: 2\/1321135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 67 = -41. Let i(t) = t**3 + 36*t**2 + t + 41. Let v be i(c). Solve -9 = v*d - 19 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64100 and 2900?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -32 + 71?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*g = -19 - 10 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of -a**7\/630 - a**6\/60 - a**5\/20 + a**4\/18 + 2*a**3\/3 - 23*a**2. Let t(m) = 0. What is m?\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g + 3. Let l be m(-3). Suppose l*a = 4*a + 2*v - 50, 2*v = 2*a - 28. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-68 - 93 - 10)*(3*x + 4*x - 4*x).\nAnswer: -513*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 58 + -172\/3. Let k = 0 - 1. Let m = 66 + -65.6. Which is the second smallest value? (a) g (b) m (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 0*h + 15 = 0, -5*j - 3*h - 15 = 0. Let o(y) = -3*y - 51. Let k be o(-12). Let q = j - k. Calculate the remainder when q is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a - 5*k - 15 = -5*a, k + 3 = 3*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.641, -23\/16, -1\/3, -10, 0.5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -37.6 times 1\nAnswer: -37.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 5) to base 2\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -c + c - 2*c + (3*c - 4*c - c)*(-1 - 1 + 3) - 35*c + 62*c + 84*c in the form i*c + t and give i.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1\/2*1\/((-2)\/(-2))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17*(-1254)\/(-1683)*(-7)\/14*(-5)\/5?\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38487 is divided by 19240?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -2\/5*f**2 - 2\/5 - 4\/5*f = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 3*t**3 + t**2 - 5*t. Let n(j) = -3*j**2 - j**3 - 2*j**3 - 3*j**3 + 11*j. What is -5*a(q) - 2*n(q)?\nAnswer: -3*q**3 + q**2 + 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -190, -240, -290, -340, -390, -440?\n\"Answer: -50*a - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000 - 1?\nAnswer: -1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -238749*m + 238750*m + 27 for m.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - 32*f + 36. Let n be w(1). Let j = 84 - 1094\/13. Put 0.4, -0.2, j, n in descending order.\nAnswer: n, 0.4, j, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -5*t + 62, 4*t - 4*w - 57 = -17. What is the second derivative of 466*u**3 - 8*u**2 + t - 470*u**3 - 2*u + 6*u wrt u?\nAnswer: -24*u - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*r + 4*r - 25*r - 11*r - 4*r - 25*r + 7*r.\nAnswer: -37*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (13 - 10)*6\/9. Let x(s) be the second derivative of -3*s - a*s**2 - 1\/3*s**3 + 0 + 1\/6*s**4. What is l in x(l) = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 25 in 1\/2, -2, 5, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 9, p: 3, f: 2, y: 3, d: 1, u: 2}. What is prob of sequence df?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 + 28*h**2 + 30*h. Let l be b(-27). Let w = -75 - l. What is the greatest common factor of 114 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3 = m, -2*m + 3*c = 3*m - 9. Suppose -2*a - 3*q - 2 = m, a + 11 = -5*q + 3. Which is smaller: a or 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -2*q + 8, 0 = 2*g - 0*g - 5*q - 9. Suppose 2*l = 4*w, 4*l + 2*w - 24 = -g*w. Is (-2 + l - 3) + 3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.12313 or -67\/321?\nAnswer: -67\/321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1187*c**5 - 4*c**4 + 8*c**3 - 2153646*c**2 - 5 wrt c.\nAnswer: -71220*c**2 - 96*c + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9635 > 105994\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2921*q**3 + 3*q**2 + 6*q + 3. Is t(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -3, 0, -6.\nAnswer: -12, -6, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 47*d + 7. Let g be j(-2). Let u = 103 + g. Is u a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89315482*o - 2670*o**3 - 89315482*o.\nAnswer: -2670*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**3 + 318*q**2 - 979*q - 118. Give m(-162).\nAnswer: 1016","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -n - p, 4*n + p + 40 = n. Let a = n + 17. Suppose 0 = -3*m + m + r, 2*r + a = -m. Which is bigger: m or -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1679398?\nAnswer: 2, 7, 139, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/18)\/((-377)\/522). Which is the fourth biggest value? (a) 4 (b) l (c) 0.3 (d) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of 3*x**6\/10 - 629*x**5\/20 + x**4\/6 - 591*x**2\/2 - 6369*x. What is the third derivative of g(l) wrt l?\nAnswer: 216*l - 3774","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 294*z - 300*z + 1080. What is the least common multiple of 285 and z?\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46.65676t to micrograms.\nAnswer: 46656760000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-24)\/20)\/(2\/(-5)))\/(96*59\/33984)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2*s = -4, 2*o = -0*o - 3*s + 11. Suppose 16 = 5*c + o. What is the highest common divisor of 9 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2*x**2 - 2 - x**4 - 3 to k*x**4 + f + c*x + q*x**2 + h*x**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -12, -7, -2?\n\"Answer: 5*j - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 5:43 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36248, -70780, -105312, -139844, -174376?\nAnswer: -208908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/63, 5, 1, 9 in increasing order.\nAnswer: 4\/63, 1, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**5 + 129030*s**4 + 832178925*s**3 - 3330780500*s**2.\nAnswer: 5*s**2*(s - 4)*(s + 12905)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 + 28. Solve w*q + 2 = 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.7 + 0.6. Let s be 1\/(-6)*(-27)\/(-18). Let i = -84 - -758\/9. Which is the nearest to i? (a) 0.3 (b) s (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -380 + 1479. Calculate the remainder when w is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2638331?\nAnswer: 2638331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-s**2 + 1 - 1)*(-6 + 5 + 14)*(-s + 5*s + s) to x*s**3 + r*s + a + p*s**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of -8*d**7\/35 - 19*d**3\/3 + 73*d**2\/2 - 75. Let b(l) be the second derivative of j(l). Differentiate b(v) wrt v.\nAnswer: -192*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50111643?\nAnswer: 3, 3911, 4271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9612\/204 - (-2)\/(-17). Let v = w + -327\/7. Let k = 3.4 + 0.6. What is the closest to 2\/5 in v, k, 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -97.16917741 to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -517 - 2*x + 517 + 9*x.\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 6754?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 808, 1, 5, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 10 = -2. Let z(x) = -13*x + 17*x - 5*x + m. What is z(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 115 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 31*p + 3*p**2 - 12*p - 21*p. Let y be b(6). Let n = -2 + y. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 478626.\nAnswer: 2, 3, 241, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 35\/6. What is the smallest value in 0.4, w, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 297?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence frr when three letters picked without replacement from {f: 8, r: 5}.\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 88\/(-9504)*536\/(-67)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(33) - -5*sqrt(33))*5)\/(sqrt(3) - (sqrt(33)\/(sqrt(11)*-5) - sqrt(3))))**2.\nAnswer: 22500\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -37*y**2 - 161*y + 65. Calculate h(-4).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 60\/(-330) + 40\/(-22). Calculate the least common multiple of (-1)\/s + 2 + (-99)\/(-2) and 8.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 2*b + 4*q + 20, -3*b = 5*q + 64. Let m = 8 + b. Let r(c) = -c**3 - 11*c**2 - 9*c - 15. Let f be r(m). What is f rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-88 + 92)*1\/2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26312246?\nAnswer: 2, 509, 25847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/21 - (-194)\/238. Let z = k - 151\/221. Let w = -111 - -887\/8. Which is the smallest value? (a) -0.5 (b) z (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 78 and 12601914?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*j - 4*j - 2*j**2 + (-j - 2 + 2)*(j + 0*j + j) - 5*j**2 - 2*j**2 + 2*j**2.\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuh when three letters picked without replacement from nufhfvhuuafu.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -216 + 3?\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2205966.\nAnswer: 2, 3, 7, 53, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -151*t - 1. Let w be p(-1). Let h(o) = -14 - 9*o + 6 - 7. Let u be h(-5). Calculate the highest common divisor of w and u.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 11:51 PM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/7 of a week in minutes?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2585)\/70*(-1 + -1). Let k = 73 - o. Which is the biggest value? (a) 4 (b) k (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4240 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 - 1031.81?\nAnswer: -1031.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 9:45 AM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3480 + 3476.586. Let f = -0.106 + c. Let o = 3.5419 + f. Round o to 3 dps.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 92*q + 891. List the prime factors of a(59).\nAnswer: 71, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211211211 + -101?\nAnswer: 211211110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 7 = -0*i - 4*a, a + 7 = i. Let w = 0 - -6. Suppose w*y - y = 60. Solve l - i*l - y = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -51 - -52. What is the remainder when a is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -11*p**3 + p**2 + p. Let b = -90 + 89. Give r(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + 9*v**2 + 9*v + 1. List the prime factors of c(-3).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10826 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: Simplify 1 + sqrt(5) + sqrt(55)\/(sqrt(66)\/sqrt(6)) - ((sqrt(10)\/(sqrt(2)*-1))**2 + 3).\nAnswer: -7 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 + 14. Let f be (-3)\/h*(-10)\/(-75). Let d = 3.9 + 0.1. Which is the nearest to d? (a) 0.4 (b) f (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2079 - -2082. Solve 0 = -5*o + 2*k - 19, 4*o - 5*k + 2 = -b for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**5 - r**5 - r**5 + 3*r**5 - r**5 + r**5 + (0*r + 4*r - r)*(4*r**4 + 7*r**4 - 4*r**4))*(16 + 11 + 5).\nAnswer: 704*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -640*y = -717*y + 231. Solve -5*s = 2*b + 13 - y, -4*s - 5 = b for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 24, 20, 16, 12, 8?\n\"Answer: -4*r + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-88)\/14)\/(-4)*(-550 - -557).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 1 - 5 = 0. Let j(k) = -2*k - 1. Let l be j(x). Is 1922\/1 + (4 - l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21072900691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 398 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-3\/11))**19 assuming z is positive.\nAnswer: z**(152\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 AM and 4:50 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 55515*r**3*u**3 - 59*r**3*u + 175*r*u wrt u?\nAnswer: 333090*r**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.98977 to 1 dp.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -4*n**2 + 24*n - 12. Calculate z(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 93 in 2, -3, -4, 3, -5\/24?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1102220102101 (base 3) to base 12.\nAnswer: 30b191","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 229 + 10. Suppose -2*a = 87 + q. What is a rounded to the nearest ten?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1407 and 42483?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 2, -13, -0.059, -3, 0?\nAnswer: -0.059","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zmynnrnmyzzzmzzzmnmc. Give prob of sequence zmmr.\nAnswer: 7\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -3 + -41 + -2 + -78 + 81 - -12.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 3*a**2 + 40*a + 23. Calculate the remainder when 99 is divided by i(-14).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 436651458?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + r + 226 = 0. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 21*o**2 + 34*o - 83. Let v be l(6). Let q = 1087 - v. Is 14 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 78021*k**4 + 23*k**3 - 1493*k**2 - 794*k wrt k?\nAnswer: 1872504*k + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14450 and 340?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = c + v, 4*c - 4*v + 1 + 147 = 0. Calculate the smallest common multiple of (1 + -6)\/(3\/c - 0) and 11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 67900802 by 146654.\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1 + -5*(3 + sqrt(72) + sqrt(72)))**2 + ((-2 + (sqrt(72) - (-2 + sqrt(72))) - sqrt(72))*6*-1)**2.\nAnswer: 5040*sqrt(2) + 24780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 272186 is divided by 211?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.95 smaller than -0.06?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/320 and (-1012)\/(-32) - (-5)\/(-40)?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8a8 (base 16) to base 9.\nAnswer: -3032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149 is divided by 46?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a kilometer in centimeters?\nAnswer: 87500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.761 + 0.119. Let r = h + -7. Let d = -0.12 - r. Which is the nearest to 0? (a) 1 (b) d (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-6\/11))**(-9\/4))**(20\/3))**13 assuming p is positive.\nAnswer: p**(1170\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 2*w - 44. Is 11 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i. Let d(m) = -2*m**2 + 6*m + 6. Let s(b) = -4*b**2 + 11*b + 11. Let h(n) = 11*d(n) - 6*s(n). Determine h(r(c)).\nAnswer: 18*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 260 - 261.2. Is l > -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3120457, -6241185, -9361927, -12482689, -15603477, -18724297, -21845155?\n\"Answer: -c**3 - c**2 - 3120718*c + 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5\/2*(-3190)\/23925\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 143617*c**2 + 68494*c?\nAnswer: 287234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 70, 2\/5, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -101011101101 (base 2) to base 3\nAnswer: -10211121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) + (sqrt(170) - sqrt(170)*3 - sqrt(170)))*3 + sqrt(170))\/(sqrt(60)\/sqrt(6)*-4).\nAnswer: 5*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/1746 and -65\/171.\nAnswer: 33174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 3. Suppose -c*d - 5 = 4*n - 1, 5*d - 2*n = 2. Let r(b) = -b**3 + b**2 - 3. What is r(d)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 75.63359 + 1368983.66641. Let v = 1369087.2999816 - i. Let t = 28 - v. Round t to six decimal places.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 0.2 (c) 24609 (d) 17 (e) -20\/13 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4260830 by 7.\nAnswer: -608690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-3\/13)\/(n*n\/(n**(1\/7)\/n)*n))**(-2\/35))**(-5\/4) assuming n is positive.\nAnswer: n**(-186\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -60*2\/(60\/10)*((-96)\/12)\/(-304)\nAnswer: -10\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 3. Let c = j + 3. Let q be 1 + 1*(-13)\/15. What is the closest to c in -1, -2\/3, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 1892*m**2 - 5*m + 5. Let o(y) = 2838*y**2 - 8*y + 8. Determine -8*j(z) + 5*o(z).\nAnswer: -946*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 9*s - 18. Let i be u(8). Which is the nearest to -0.1? (a) -0.1 (b) i (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 22249*d - 5 + 17.\nAnswer: -22249*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -97? (a) 1 (b) 104 (c) 0.3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 388400786 is divided by 87.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1083506442.\nAnswer: 2, 3, 73, 2473759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2)\/(c*c\/(c**(-5)\/c)*c))\/(c**(4\/3)\/(c\/c**(-3))))\/((c\/(c\/c**1))**26\/(c**3*c*c*c**(-1))) assuming c is positive.\nAnswer: c**(-91\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6746 - 5183. Is 2 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0, -2\/17, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from mgugyugzmmgmzz?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**2 - 13*h**2 + 4*h**2 - h**2 - 4*h**2 - 4*h**2 + (h + h + 0*h)*(3*h - 5*h + 3*h) - h**2 + 2*h**2 + 0*h**2)*(5*h + 14*h + 9*h).\nAnswer: -532*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 132.\nAnswer: 660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = -4*t + 5, 0*t - u = 4*t + 25 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((y**(2\/7)*y)\/y)\/y*y)\/y)\/(y\/(y*y*y*(y**(3\/2)*y)\/y)))**(-40)\/(y**(-5\/2)*y**1*y**(1\/2)\/(y**(-3)\/y)) assuming y is positive.\nAnswer: y**(-801\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 9838723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(2448) - ((-1*sqrt(2448))**2 - sqrt(2448))))*1.\nAnswer: -2446 + 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4e + -7f?\nAnswer: -cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70, -65, -56, -43, -26, -5, 20?\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1646 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 110 by 55.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13 + -1041?\nAnswer: -1054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 364048041 divided by 10743\nAnswer: 33887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6, 21, 70, 171, 342, 601, 966?\n\"Answer: 3*t**3 - t**2 - 3*t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*r + 1535 = -6000 for r.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 - 5*i + 29. Determine d(-7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*q + 140*q + 44*q.\nAnswer: 192*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 2, -19, 55 in decreasing order.\nAnswer: 55, 17, 2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14467\/124260 + 1\/4142. Let m = y + 1\/20. Suppose 0*q - 1\/6*q**2 - m*q**3 + 0 = 0. Calculate q.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, i: 1, x: 2, j: 1, h: 5}. Give prob of sequence hi.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/11 + -8 + (-501)\/(-33). Solve s*q = 2*q + 15 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of c**5\/100 - c**4\/5 - 3*c**2\/2 - 11*c. Let n(p) be the first derivative of o(p). Factor n(v).\nAnswer: 3*v*(v - 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17887656 divided by -1032\nAnswer: 17333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wiiwjwwwwmillkm. Give prob of sequence iwl.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 31 = 3*c - 2*q, 5*q + 60 = -5*c. Let k = c + 14. Let p be (-8)\/k*-3 + 3. What is the greatest common factor of 55 and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 86406 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 189402928, 378805849, 568208768, 757611685, 947014600?\n\"Answer: -w**2 + 189402924*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2918 + 8756\/3. Let k = 2.4 + -2. Let y = -36 + 36.2. Put b, -2, k, y in increasing order.\nAnswer: -2, y, k, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + -2 + (-11)\/(-3) + -2. Let z(k) = 4*k + 103. Let x be z(-25). Sort -4, x, a, -5 in ascending order.\nAnswer: -5, -4, a, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*q - 133*q**5 + 129*q**5 - 3*q + 3)*(0 + 3 + 2)*(-6 + 2 + 2).\nAnswer: 40*q**5 - 30*q - 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.591 + 81.509. Let j = -82 + x. What is the third biggest value in 3\/2, j, 1\/6?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1818.7?\nAnswer: -1818.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + 52*p - 136. Let q(d) = 16*d - 4. Give g(q(w)).\nAnswer: 256*w**2 + 704*w - 328","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -z + 132. What is the highest common divisor of z and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**6)**(39\/2) assuming q is positive.\nAnswer: q**(273\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 5. Suppose -u*g - p = -1 - 10, 6 = 2*p. Which is the closest to -0.1? (a) g (b) -5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 13) to base 16\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46834098?\nAnswer: 2, 3, 7805683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.079? (a) 2 (b) 3 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.17542 + -0.02458. What is the nearest to 0 in m, -5, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/3 (b) -0.0542 (c) 31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153412981 is divided by 3149.\nAnswer: 3148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -4 (b) 0.5 (c) -2718 (d) -20 (e) 1\/14 (f) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -50 (b) 0 (c) -16 (d) 4 (e) 1\/4 (f) 0.26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 11 + 2 + 4 + -5\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 629982 (base 13) to base 8.\nAnswer: 10630350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -615 (b) -2\/5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 540247, 540246, 540247, 540250, 540255, 540262, 540271?\n\"Answer: i**2 - 4*i + 540250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -572 or -565?\nAnswer: -565","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 515 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.21, -1.41, -2\/11, -2?\nAnswer: -1.41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2814417?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 + 3)*(0 - 1 + 2)*(-65 + 65 + 76*z) in the form g*z + j and give g.\nAnswer: 380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1705, 2\/13, 2\/9?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = -3*g + 29, 2*k + 2*g + 1 + 1 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37931?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7424, -4652, -32, 6436?\n\"Answer: 924*m**2 - 8348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 - -325?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 184\/18 + -6 - 2 - (-26)\/(-117). Find n such that 16\/7 + 44\/7*n**g - 8*n - 10\/7*n**3 = 0.\nAnswer: 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nmm when three letters picked without replacement from cmfffmcccccfmcccnccc?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18246?\nAnswer: 2, 3, 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1753 (base 12) to base 13.\nAnswer: 1374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + 1. Let n be i(2). Suppose 0 = -6*l + 5*l + 3. Suppose -n*s - 10 = -3*h + 54, l*h + 4*s = 46. What is the least common multiple of 18 and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -169 + 289. Let a = x - 119.99999892. What is a rounded to 7 dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of 0*y**3 + 1\/8*y**4 + 1\/40*y**6 + 0 + 0*y - 1\/10*y**5 - 3*y**2. Find h such that v(h) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = 3*p. Suppose p = 6*x - 12 - 0. Solve j + 3*j = -5*w + 6, -x*w - 4 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 2*o + 16. Let g be (-36)\/o + 2 + 0\/3. Which is smaller: g or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - m + m)*(-3*m**2 + 3*m**2 + m**3) + 94*m**4 - 452*m**4 - 56*m**4 + 0*m**4 + m**4 + m**4.\nAnswer: -411*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 f when two letters picked without replacement from ddfdfd.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 4*w + 1. Let p(u) = -5*u - 1. Give 3*c(r) + 2*p(r).\nAnswer: 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 12*q - 180 = 0. Calculate the smallest common multiple of q and 24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 18.7 (b) 0.081 (c) 0 (d) -0.3 (e) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - r = 2 + 2 - 2, 53*r + 98 + 58 = -3*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 AM and 4:58 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.5*0.03.\nAnswer: 0.045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 11:34 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 + -10. Let m = 2 - r. Which is smaller: m or -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 538558350 a multiple of 3410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 233 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -r**4\/4 + 4*r**3\/3 + 3*r**2 - 3*r - 2. What are the prime factors of y(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -11*v + 18. Suppose -2*x = -5 - v. Find the second derivative of -16*i**x + 3*i + 2*i + 10*i**4 wrt i.\nAnswer: -72*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 13 = -5*a, -5*i = 3*a + 7179 - 7156 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 399?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13*1\/26*2\/(-17)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1175399.717 to the nearest one hundred.\nAnswer: 1175400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 + -3408667.635028\nAnswer: -3408668.035028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 131*r**2 + 280*r + 2830. Calculate x(-129).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-39)\/(-9) + -1)*9\/8865. Let u = l + 128\/985. Let j = 1.9 - 2. What is the smallest value in 2, j, -0.5, u?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + q - 15. Determine v(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + q - 16 = -o, -2*o + 23 = 5*q. Suppose o*t + 3 = 11. Let m be t\/(-8) + (-9)\/(-4). Solve 3*j + m*j - 25 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 5, -27, 2, -5.\nAnswer: -27, -11, -5, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, 3, -68?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 - z - 3. Let x(l) = -790*l**3 + 617*l + 12. Let m(q) = 4*k(q) + x(q). Find the second derivative of m(t) wrt t.\nAnswer: -4716*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157 is divided by 58.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 239492088 to the power of 1\/2, to the nearest integer?\nAnswer: 15476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of 0*d**6 + 0*d**2 + 0*d**4 + 0 + 0*d**3 - 1\/60*d**5 - d + 1\/126*d**7. Factor v(s).\nAnswer: s**3*(s - 1)*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3\/359 - -275\/10052. Suppose 5*i + i + 6 = 0. Which is bigger: m or i?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 1298*s**2. Let h(i) = i**2. Give f(h(o)).\nAnswer: 1298*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 58\/(-4)*(-20)\/(-35)*(-826)\/236.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2677633*u**4 + 2915241*u?\nAnswer: -32131596*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.78? (a) 12.7 (b) -2\/11 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 12:14 AM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - -49\/4. Which is the nearest to u? (a) -1 (b) 5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 2)\/(4\/40*5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of -o**6\/120 - 101*o**4\/24 - 10*o**2 + o. Let u(h) be the second derivative of p(h). Let f(r) = 3*r**2. Calculate f(u(j)).\nAnswer: 108*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -16*l - 15. Let s(g) = 3*g + 1. What is i(w) + 6*s(w)?\nAnswer: 2*w - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (230\/(-20) - -9)\/(35\/(-8))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*h + h - 9*h)*(-1117*h + 1299*h + 3 - 654*h) as k*h + a*h**2 + j and give a.\nAnswer: 1416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d - 1. Suppose -4*a + 2*g = -76, -a - 4*g = -g - 26. Suppose a = -0*b + 5*b. Suppose -b*z + 2*z + 6 = 0. What is l(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 317, -2, 5, -4, -0.5, -1, 0.2?\nAnswer: 317","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 32, 50, 70, 92, 116, 142?\nAnswer: 170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 14. What is the tens digit of (-51)\/(k - 3 - 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 668.4838 litres in millilitres?\nAnswer: 668483.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 196.49 less than -74?\nAnswer: -270.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*(-68)\/540 - 1.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*i*u**4 - 1174*i*u**3 - i*u + 14*i + 3*u**2 + 66*u + 1 wrt u?\nAnswer: 36*i*u**2 - 7044*i*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 154, 126, 98, 70, 42, 14?\n\"Answer: -28*i + 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00051284 rounded to 5 dps?\nAnswer: -0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 9.7099 (c) 94 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = 4*j + 25, 0 = -123*j + 118*j + 3*i - 11 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y**3 + 3*y**3 + 11*y + 16*y - 3 - 31*y + 4 to f*y**3 + w*y + q*y**2 + a and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of -1\/24*w**4 + 0*w**3 + 6*w**2 + 0*w + 29\/20*w**5 + 0. Is k(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/10 - (-589)\/95. Suppose 5 = 5*g, 6*g - k*g = 2*o - 25. What is the remainder when 18 is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 103 = -3*y - 4*b + 123, -4*y - 18*b + 16 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 10:50 AM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*a**4 + 19*a**4 + 18*a**4 - 2*a**4 + (-a**2 + 3*a**2 - a**2)*(-7*a**2 - 49*a**2 - 4*a**2) as o + c*a**3 + i*a + k*a**4 + n*a**2 and give k.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222468 is divided by 27808.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + 8*y**2 - y - 5. Let t be z(-8). Suppose r - 4*u = u - t, -5*u = 0. Which is bigger: -20\/7 or r?\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9918, 13, -3, -4 in descending order.\nAnswer: 9918, 13, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 519722 is divided by 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.12 and 1355443?\nAnswer: -162653.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 + 154*l**2 + 5126*l - 1997. Give w(-105).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -7*g**2 - 14*g - 14. Let y(v) = v**2 + v + 1. Let p(k) = u(k) + 14*y(k). Let q(f) = -f**2. Determine q(p(w)).\nAnswer: -49*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 80044800 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 33*i**2 + 38*i + 27. Let u be o(16). Let w = -6190 + u. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 37 and 16?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 14. Let c = -3294.1 + 3294. Sort c, 0.4, j in descending order.\nAnswer: 0.4, c, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -165 + 277. Calculate the highest common divisor of c and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.091 take away -658914.85755?\nAnswer: 658914.76655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 481 + -488. Let f(c) = -2*c + 6. Let g(u) = -3*u + 12. Calculate m*f(i) + 4*g(i).\nAnswer: 2*i + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/28 and 51\/29605120?\nAnswer: 207235840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720) + 3*sqrt(720) - sqrt(720)) + -2)**2 + -1 + (sqrt(5)*-3 + -2)**2.\nAnswer: -132*sqrt(5) + 6532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*r**2 + 0*r + 3*r + 15087 + 10871 - 5*r.\nAnswer: -6*r**2 - 2*r + 25958","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 7 - r + 2*r + 2*r - 6*r. Let y(c) = 3*c - 6. Let o(m) = 6*f(m) + 7*y(m). Determine o(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*m - 66*m = -6. Let v = 0.8 + -1.8. Let d = 0.5 + 0. What is the closest to v in d, 2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 AM and 6:23 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 14) to base 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16200459 and 891?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16109*h**2 + 6 + 42167*h**2 - 5 + h - 3 + 62139*h**2.\nAnswer: 120415*h**2 + h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -4*d - 16. Let q be a(-9). Let g be (q\/6)\/((-26)\/(-39)). Suppose -x - 2*w = g, -8 = -2*x + 2*w + 6. Is 3 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in -0.26, -78.239, -1\/9, 1?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 27933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hddidiidvhddddv. Give prob of sequence hh.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 24*x**2 - 45*x - 24. What is j(-22)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 439 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11 - ((-54)\/81 + 59726\/(-6))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-2 - (-1 + 3 - 4)) + -57 + 37\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 97367 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1708704 to the power of 1\/2, to the nearest integer?\nAnswer: 1307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = a + 15575. What are the prime factors of a?\nAnswer: 5, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2354 by 1.\nAnswer: -2354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q + 5*q + 9*q - 4 + q. What is the remainder when b(2) is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 2 - (-9 + -2 + (15 - -17)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-678)\/68 + (-6)\/204\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of 0 - 3\/2*r**2 - 1\/6*r**3 - 2*r. What is the first derivative of c(x) wrt x?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 + 14*v + 3. Let a be n(14). Solve a*w + 9*w - 60 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*c**5 + 736666*c**3 - 72128*c - 96 wrt c?\nAnswer: 120*c**3 + 4419996*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1058?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31 - 33. Let m(s) = s**3 + 8*s**2 - 8*s + 5. Let x(g) = 6*g**3 + 39*g**2 - 40*g + 25. Let u(f) = b*x(f) + 11*m(f). What is the units digit of u(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12870 and 545610?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 4*f + 14 + 4, 3*d + f - 8 = 0. Let m be (d - 0\/2)*-2. Sort m, 0.2, 2\/17 in ascending order.\nAnswer: m, 2\/17, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -934 + 1334. Let w = 502 - d. Solve 4*p - 114 = -w for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 507*m**2. Let x(t) = 3*t. Give b(x(u)).\nAnswer: 4563*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-100)\/(-6)*(-13623)\/9082?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 h when three letters picked without replacement from ihwhwiwwhwwhh.\nAnswer: 75\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z + 3. Let f(a) = -3*a - 8. Let j(l) = 4*f(l) + 11*k(l). Let n(p) = -4*p - 1. Let s(y) = -2*j(y) + n(y). What is the first derivative of s(o) wrt o?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3650607 - 60?\nAnswer: 3650527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 11:15 AM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 184029 - 60177436\/327. Find the common denominator of (-22 - 108\/(-5)) + 34\/5 and r.\nAnswer: 1635","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 29\/2 of a kilogram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6\/(-4))\/(-1))\/((-836)\/38*(-6)\/2).\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + 18*v**2 - 4*v - 507. Give b(-18).\nAnswer: -435","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1641 times -713?\nAnswer: 1170033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 0, 8, 30, 72, 140, 240?\n\"Answer: l**3 + l**2 - 2*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 657*x - 20 - 650*x - 26 + 17. What is o(0)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -417691470 divided by 5\nAnswer: -83538294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -179065*h**4*o - h**4 + 6*h**3*o - 2*h**2*o + 2*h*o - 925*o - 1151 wrt h.\nAnswer: -4297560*h*o - 24*h + 36*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p**3 + p**2 - 3*p - 1. Let j be i(-3). Let n = 263 - 264. What is the remainder when (n - 2) + j\/1 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**2 + 1126*n - 175593 = 0. What is n?\nAnswer: 187, 939","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27121?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x - 4*x = -320. Let b = x + 74. Suppose 0*r = 2*c + r - 16, -b = -3*c - 4*r. Calculate the smallest common multiple of c and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8581624?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -7. Suppose 0 = -6*a + a, -i*x + 130 = 4*a. Let p = x + -16. What is the lowest common multiple of 8 and p?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -3*m - 33. Sort 0, -0.5, m.\nAnswer: m, -0.5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 + z**2 - z + 2. Let b be k(2). Suppose 0 = 4*q - 4*l + 16, -3*l - 3 = q + q. What is the least common multiple of 16 and (-31)\/b + q\/(-12)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 4*o**2 - 3*o - 17. Give r(-5).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 8*r**2 - 2*r - 16. Let q(t) = -7*t**2 + 2*t + 15. Give -6*o(z) - 7*q(z).\nAnswer: z**2 - 2*z - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = l + 2*u, 40 = 4*l + 4*u - 2*u. Let g = -7 + l. Suppose 2*o - 10 = -3*h, -4*o + g*h = -0*o - 56. Calculate the remainder when o is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3474541 is divided by 1223?\nAnswer: 1221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 107\/791?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -2\/5 (c) -1\/132 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4094 - 5?\nAnswer: -4099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(114)\/(sqrt(3)*2))\/(sqrt(242) + sqrt(242)*1).\nAnswer: -5*sqrt(19)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12 - (-5 + 6 - -1). Let s(u) = 18*u**2 + 15*u**2 - 44*u**2 + n*u**2. Let z(p) = 22*p**2. Calculate z(s(w)).\nAnswer: 22*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/36*108\/(-36). Let y = -12 - -10. What is the fourth smallest value in -3, -1, y, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2897184671 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 26734 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1656 and 180?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 146*c**3*j - 267*c**3 - 4*c*j - c + 3*j + 19 wrt j?\nAnswer: 146*c**3 - 4*c + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m + 2*v - 24, 0 = -2*m + 20*v - 22*v for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36450 is divided by 36433?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 - -20. Suppose -3*b - 27 + 73 = -4*d, -5*b - 3*d = -125. Let t be b\/126 + (-10)\/35. What is the closest to 1 in t, 0.3, v?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/51, -0.2, 3, 0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15689 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.673 - 0.09943?\nAnswer: 9.57357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*((-1)\/(-1))\/((-9)\/(-36))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v**3 - 75*v**2 + 428*v - 8869. What is x(35)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 593875 to the power of 1\/4, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*i*l**3 + i*l*q + i*q - 5152*i - 166*l**2 + l*q + q with respect to l.\nAnswer: 6*i*l**2 + i*q - 332*l + q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of 5*m**4\/12 - 7*m**3\/3 - 5*m**2\/2 - m + 4. Let s(t) = -3*t**2 + 9*t + 3. Suppose -x = -3*x - 10. Determine x*r(v) - 8*s(v).\nAnswer: -v**2 - 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1\/2*2*(-3)\/24\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a**2 - 114*a - 1216. Calculate b(47).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/(-20))\/(1 + (-24)\/20). Suppose 4*j + i = -i + 20, m*i - 14 = -2*j. Solve g = -j*g - 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 725*b + 213128. Determine d(-294).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 681*r**2*t**2 + r**2*t - 3*r**2 - r*t**2 - 32*r*t - 8512*r - 5109*t**2 - t wrt t?\nAnswer: 1362*r**2 - 2*r - 10218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 PM and 4:42 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (sqrt(13) - 2*sqrt(13)))*1 + ((sqrt(65) - -1*sqrt(65))*1)\/sqrt(5) - ((sqrt(39)\/sqrt(3)*4 - sqrt(26)\/(sqrt(14)\/sqrt(7) + sqrt(2))) + 4))**2.\nAnswer: 35*sqrt(13) + 521\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*r*u**5 + 27382*r*u**3 - 6*r*u - 28*r - u**2 + 906*u wrt u.\nAnswer: 900*r*u**2 + 164292*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + -1)*(-3)\/6. Let o be (-30)\/(-50)*(-20)\/4. Suppose 0 = -4*v + 3*m + 2, -3 = 2*v - 5*m + 3. Put o, v, y in decreasing order.\nAnswer: v, y, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7085 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of 2*o**3 - 3*o**2\/2 - 84. Let a(f) = -17*f**2 + 8*f. Give -3*a(x) - 8*d(x).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d - 29 = -37*d + 20*d. Let u be 5*(4\/10 - 0). Sort -0.4, d, u, 0 in increasing order.\nAnswer: -0.4, 0, d, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 5*v - 2*v - v - v. Let f(u) be the second derivative of -u**3\/3 + u. Give f(z(c)).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 71 - 28. Let k = -36 - l. Let c = -75 - k. Calculate the least common multiple of c and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 884729 is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 57 = 2*k. Let l = -16 - k. Solve -l*p - 17 = 2*r, 2*r = 4*p - 3*p - 5 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 184*v - 33*v + 117*v + 133*v to the form a*v + m and give a.\nAnswer: 401","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -307143*g*r**6 - 3*g*r**3 + 91*g*r**2 + 2*r**4 - 94511*r wrt r.\nAnswer: -36857160*g*r**3 - 18*g + 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9151246 to the nearest integer?\nAnswer: 3025","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1406*t**6 + 189*t**2 + 3 wrt t?\nAnswer: -168720*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -195 - -192. Let d = -0.5 - 0. Let o(l) = -l**3 - 7*l**2 + l + 3. Let y be o(-7). What is the biggest value in c, d, y, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 7 + 6*w)*(0 + 16 + 13 + 20).\nAnswer: 294*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26074?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 54229.92 rounded to the nearest one hundred?\nAnswer: 54200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/3 - (-192)\/9. Suppose 5*c = 4*o + 39, 3*c - 4*o - k = -o. Suppose 2*t + 1 = -3, 4*t - 432 = -5*s. What is the highest common factor of s and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 183 and 1957543558?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 13. Suppose 4*y = -27*y + 217. Calculate the common denominator of 118\/m - 28\/y and 45\/19.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -4*u - v + 27, 5*u = 4*v + 31. Let s be (5 + 0)*(-2)\/5. Is (u - 3)*(-5)\/s a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/29? (a) 3 (b) 0 (c) 0.4 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-31 - -39) + 5 + (-1 - 21).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sni when three letters picked without replacement from {g: 5, x: 1, n: 1, i: 2, d: 3, s: 1}?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 8*y**2 - 21*y + 28. Let x be f(-10). Calculate the greatest common factor of 209 and x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 40 - -35. Let f(y) = 75 - h + y. Let g(a) = 4*a**2 + 12*a. Let m(z) = 24*f(z) - 2*g(z). Let c(d) = -d**2. Determine c(m(j)).\nAnswer: -64*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 54\/73225 and -21\/101?\nAnswer: 73225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.041 - -2.041. Let h = 21.8 + -22.2. Sort n, h, 0.4 in descending order.\nAnswer: n, 0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 710.8 and 1.\nAnswer: 710.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 202.88 + -198. Let z = r - -0.12. Let o = -6 + 5.6. What is the third smallest value in z, -2\/11, o?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilometer in centimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 35*y**2 - 175*y**2 + 34*y**2 + 108*y**2. Let b(k) = -k**2 - 45*k. Determine v(b(h)).\nAnswer: 2*h**4 + 180*h**3 + 4050*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 1001100111?\nAnswer: -1001101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from flldcwccc. What is prob of picking 1 w and 1 f?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -119736488 and -2.710125.\nAnswer: -119736490.710125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 740 divide 717800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q = 7*q + 6. Suppose q*o = 11*o - 15. Which is the biggest value? (a) 2\/11 (b) -0.1 (c) -3 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82260141 is divided by 4247.\nAnswer: 4245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(310\/(-12))\/(-31).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 688747268 to the nearest integer?\nAnswer: 883","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.083953 months in years?\nAnswer: 0.17366275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -951.6 - -1047. Let m = y - 95. What is the nearest to 0 in -5, m, 0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -40 - 2?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 214 divided by 3?\nAnswer: 214\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 83\/(17\/20 + (-72 - (-53391)\/740))\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17224 (base 9) to base 3.\nAnswer: -121020211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}