diff --git "a/data/dm_maths/full_data_1/11081_11255.jsonl" "b/data/dm_maths/full_data_1/11081_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/11081_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose 5*h - 10 = 5. Suppose 0 = g + 2*g - h. Does 15 divide g - -7*6 - 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -107 + 110. Solve 0 + 0*j - 1\/3*j**4 + 1\/3*j**2 + 0*j**l = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3*b = -b + 42, -b + 1 = 0. Let n(j) = -58. Let w(r) = r - 109. Let c(a) = -11*n(a) + 6*w(a). What is the tens digit of c(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 73, -29, -401, -1181, -2507, -4517, -7349?\n\"Answer: -23*d**3 + 3*d**2 + 50*d + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -6. Suppose -4*n - 6*u = -3*u + 4, -n = 4*u + 14. What is the first derivative of -t - n*w + w + 8*w wrt w?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 3*c - 2481, -z - 2*c - 829 = -0*z. Let h = -563 - z. What are the prime factors of h?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 23684*n**2 - n - 41465 wrt n.\nAnswer: 47368*n - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 7*h - 4*h. Suppose -4*o + 24 = h*r, 0 = 3*o - 12 + 3. What is the units digit of 15\/r*12*2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -4*d + 5. Let h(a) = 8*a - 11. Let m(j) = 6*h(j) + 13*i(j). What is the tens digit of m(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n - 1 - 5*n - n**2 + 11*n. Give r(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -102 in 0, 15, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 6*c**2 + 0.\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 402*y**2 - 95*y**5 + 2734*y**2 + 228*y**4 - 105*y**5 + 196*y**5 - 3360*y**3.\nAnswer: -4*y**2*(y - 28)**2*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7228777 by 1.\nAnswer: -7228777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 13 = 1. Suppose k + 4 - 13 = -5*v, k = -4*v + 8. Let a(z) = 2*z**2 + k*z - 4*z**2 - z. Calculate a(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3646*d + 4005*d = 10052 for d.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6536\/3 + 2178. Which is the nearest to u? (a) 0.1 (b) -3 (c) -4 (d) 52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 326 (base 7) to base 3\nAnswer: 20012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 6786 + 6782 - 13568 - 1645*p**2. Let r(j) = 2*j. What is q(r(s))?\nAnswer: -6580*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 504 and 99960?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 3.6. Let p = 1.4 - g. Let c = 0.7 - 5.7. What is the closest to p in c, -2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117*o + 29 + 112*o + 109*o - 340*o.\nAnswer: -2*o + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 56\/(-40)*-15 + -10\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2 = 37. Is 4 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25624?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3000713015?\nAnswer: 5, 600142603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of 0 + 7*c + 1\/4*c**4 - 1\/6*c**3 + 0*c**2. Determine t(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -4*i + 3019, 4*i - 3*k - 2104 = 917. Let z = i - -395. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 - 54*i - 25. What is z(0)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -909*g - 90876. Calculate b(-100).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1401 * -0.1\nAnswer: -140.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d**3 - 6*d**2 + 5*d + 10. Let r(b) = -b**2 + b + 1. Give 6*r(f) - w(f).\nAnswer: 2*f**3 + f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117360.\nAnswer: 2, 3, 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 30 = -0*u. Suppose 3*l = -3*x - 3, -x - u*l + 2*l = -3. What is the tens digit of -2 - (-6)\/x - -51?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 123 = 493. Suppose 11*s - 9*s = b. Let f(c) = 2*c**2 - 7*c - 1. Let i be f(5). Calculate the highest common divisor of s and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i**2 - 7*i**2 + 2*i**2)*(-2 + 4 - 3)*(-4*i**3 - 290 + 286 + 14*i**3)*(1 - 1 + 2).\nAnswer: 20*i**5 - 8*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4*n = 27. Suppose -5*t - 12 = -n*t. Let a be t*4 + 0 + 0. Calculate the greatest common factor of 108 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -26 + -6?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4820)\/(-8676)*18\/(-28).\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -158 (base 13) to base 6\nAnswer: -1042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -1, -29, 2\/7 in ascending order.\nAnswer: -29, -1, -0.3, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*o + 328 = -42*o. Suppose -4*k - 42 = -7*k. Calculate the remainder when o is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 0, 128, -1 in decreasing order.\nAnswer: 128, 9, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-135 + 58 + 6)*(-3*c + 5*c - 3*c)*(0 + 0 - 2*c).\nAnswer: -142*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21104*m*r**4 + 11*m*r**3 - m - 2*r**2 + 84873 wrt r.\nAnswer: -506496*m*r + 66*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jrrjjrjshrcrjjcrhr. Give prob of picking 1 h and 1 r.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 k when two letters picked without replacement from mmkmkggmgl.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 12, o: 1, k: 5}. What is prob of sequence fkkf?\nAnswer: 11\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 - 5*d + 7. Let s be n(-6). Let l = 15605 - 109544\/7. Let v = -9551\/217 - l. Which is smaller: s or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52 - -46 - (-2 + -2 + 3 + -10)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3460*o + 3033*o + 3 - 3.\nAnswer: -427*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + -1 - 1)\/((-6)\/1)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 4*r + 24 = 55, -4 = 4*r for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 35392*v - 35515*v + 1107 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2\/2 + 6627*y\/2 - 6633.\nAnswer: 3*(y - 2)*(y + 2211)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126 is divided by 66.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (2 - -1) + -10 - 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 111, -0.39, 26, 5, 2\/3, 5\/8 in decreasing order.\nAnswer: 111, 26, 5, 2\/3, 5\/8, -0.39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t + 24 = -0*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 307\/52 - 23\/4. Which is the third smallest value? (a) 3\/5 (b) -12\/31 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b + 4*u = -4*b + 19, 2*b - 3*u + 9 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, -0.1, 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**2 - 10648*i + 179860.\nAnswer: 4*(i - 2645)*(i - 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5335443664?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8 + 19)*(-1 + 2). Let x(j) = -28*j**2 + 0*j**2 - l*j**2. Let i(z) = z**2. Determine x(i(a)).\nAnswer: -39*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -3*l**4 + 2*l**2 + 65*l. Let w(k) = k**5 + 2*k**4 - 2*k**2 - 66*k. Let t(f) = 2*j(f) + 3*w(f). Find the second derivative of t(g) wrt g.\nAnswer: 60*g**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -257092.\nAnswer: -77127.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*f**3 + 61*f**3 + 3*f - 381*f**2 - 6*f**3 - 2*f**3 - 52*f**3 to the form x*f**2 + j + q*f + n*f**3 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 20*f + 1. Let z(p) = 4*p**2 - p - 1. Let v be z(1). Let w(h) = -39*h - 3. Let q(l) = v*w(l) + 5*j(l). What is the first derivative of q(u) wrt u?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 6. Let m(s) = 7*s + 101. Let y(q) = 4*b(q) + m(q). Let o be y(-19). Let i(k) = -k**3 - 9*k**2 - 7*k + 14. Give i(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1258015, -1258013, -1258003, -1257985, -1257959, -1257925?\n\"Answer: 4*s**2 - 10*s - 1258009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, t: 1}. Give prob of sequence tkk.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34 - -36. Suppose 0 = r*y - y + 24. List the prime factors of 0 - (2 - (-4 - y)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 359 divide 187721853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of l**4\/8 - 29*l**3\/6 + 7*l**2. Let a be h(11). What is the first derivative of 5*n**2 - 10*n**2 + a + 11 wrt n?\nAnswer: -10*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -4*d - 1. Suppose 2*l = 3*f - 11, 0 = 2*l + 2*l + f + 1. What is the smallest common multiple of -2 + 2 - (-9 - 2) and m(l)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -n**2 - 26*n - 88 = 0?\nAnswer: -22, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -6\/7 (c) -10 (d) 71 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a millennium in years?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 834*w + 457*w + 74736 = 411*w - 158*w for w.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 50940 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 AM and 5:36 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11433, 12324, 13215, 14106, 14997, 15888?\nAnswer: 16779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -3*f**3 - 78*f**2 - 210*f - 89. What is u(-23)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22121220201 (base 3) to base 14.\nAnswer: -45c43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -12283*z**3 + 12285*z**3 + 14*z + 10*z**4 + 11*z**4 + (z + 2*z**2 - z)*(-2*z**2 - 6*z**2 + 3*z**2) as m*z**2 + n*z + a*z**3 + f + x*z**4 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/141 at least 16\/467?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -233, -927, -2085, -3707?\n\"Answer: -232*m**2 + 2*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(0 + 0 + 1*sqrt(612) + (sqrt(612) - (-2 + sqrt(612)*2))))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1767 divided by 93\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3330383?\nAnswer: 7, 67967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 29\/2393 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a meter in centimeters?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t - 10. Let r be k(15). Suppose 5*n - r - 15 = 0. Suppose m - 1420 = 4*s, n*m = m - 5*s + 4175. Round m to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -129*a. Let k(v) = -8*v. Let w be 33\/((-22)\/8*(-66)\/363). Calculate w*k(c) - 4*y(c).\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -4*q - 7, -8*q + 10 = -3*q for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -11, -5 in descending order.\nAnswer: 8, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -585*n + 13985. Calculate h(24).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 16938709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -82\/8645091 and -67\/8645091.\nAnswer: 8645091","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 + 20*a**2 + 45*a + 842. Let d be n(-20). What is the third biggest value in d, 0.5, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + -7 + 13 + 8 - 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 68*g**3 + 487*g**2 - 16773*g + 6.\nAnswer: 408*g + 974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19.8 in 7\/6, 8, 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (97 - 28) + (-1 - -11) + -68 + 76.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7992 + 7992 + 4369*g.\nAnswer: 4369*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 6 = 5*x, -2*x - 5*c - 8 = 2. Suppose -3*f = 3*p - 93 - 0, x = 5*p - 5*f - 125. Calculate the remainder when 72 is divided by p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90150984 divided by -84?\nAnswer: -1073226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10475.9l to millilitres.\nAnswer: 10475900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -19347 divided by 26\nAnswer: -19347\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98536.\nAnswer: 2, 109, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -32 - 18 + 857 - 29 - 604*o**3 - 351*o**3 wrt o.\nAnswer: -2865*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/(sqrt(144)\/(sqrt(12) + -1*sqrt(12) + sqrt(12) + sqrt(12) + sqrt(12))) + 1 + sqrt(11) + -2 + 1)*-6.\nAnswer: -24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.08 and 211.143446007?\nAnswer: 211.063446007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*(-3 - 49\/(-16)). Let y = 259.6 + -260. Let d = -13 - -8. What is the nearest to -4 in m, y, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4*k + 16 = 0, -26*s + 12 = -24*s - 2*k. Let c = 2 - -1. Suppose h + 0*h = c. Solve h*y - s = -y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-15)\/(-5) - 109161\/10. Let n = h - -10924. Find the common denominator of n and -87\/1148.\nAnswer: 5740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/3 in 9\/4, -1\/2, 5?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mwedewmewedee. Give prob of picking 1 w and 2 m.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/199 (b) -1\/7 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -37*d**4 + 6*d**3 + 15*d**2 - 6. Let v = 51 - 52. Let p(c) = c**4 - c**3 + 1. Let o(f) = v*n(f) - 6*p(f). What is the third derivative of o(h) wrt h?\nAnswer: 744*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 35, 108, 241, 452, 759, 1180?\nAnswer: 1733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 3 + (-15 + 0 - (28 + -36 - 6))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - 3*f - 6. Let u be a(5). Let d = -142 - -144. Solve d*s = -2*s + u for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1516\/17 + 89. Let l be 7\/(-2)*(-1)\/(-14). What is the biggest value in -0.2, r, l?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32.43 + 0.57. Let g = 32.9999984 - p. What is g rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 324\/396 + (-4)\/(-22). Is (-8)\/(-16)*17438*n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72\/768*56*((-24)\/7)\/(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 678405.6 millennia?\nAnswer: 6784056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -1. Suppose -v*r = -6*r + 24. Solve 3*c - 8 = 2*n, c + 2*n - r = 6*n for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2244)\/2448 - 1\/(-1). Which is the closest to -2.2? (a) 9 (b) 1\/4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o - 8. Suppose -3*h - 11 = n + 2*h, 2*n = -3*h - 8. Let d be (1 + n)\/(-3 - -2). Determine c(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -3*k + 5*k**2 + 6*k - 3*k**2 + 5 - k. Is w(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23172 - -23151. Is -4 at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a4 (base 13) to base 10.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1118053 divided by 23\nAnswer: 48611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 189 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: Convert -3 (base 16) to base 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 89380 and 369.\nAnswer: 804420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 21*z + 1524. Determine l(-70).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y + 6*y - 3*y - 2*y**3 + 8*y**3. Let b(r) be the first derivative of 7*r**4\/4 + 3*r**2 - 1. What is -5*b(t) + 6*p(t)?\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by 28?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/12 and 43\/45.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 208 or 6491\/31?\nAnswer: 208","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 3 - 19. Let m(x) = -x**2 + 18*x - 22. List the prime factors of m(f).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -5*d - 45 + 13, -5*w - 3*d + 3 = 0. Suppose -2*j - 3*j = -40. Solve j = w*o - 5*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 4, 3, 0.02, 142.428 in ascending order.\nAnswer: 0.02, 0.4, 3, 4, 142.428","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -30*x + 28*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 693435?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1613.743 micrometers?\nAnswer: 0.1613743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -727\/2 - -343. Suppose 0 = -2*k - 3*k - f + 10, 0 = 5*k - 3*f - 30. Let j = -17 - k. Which is greater: x or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 15 = -5*n, -4*x + 3 = -2*n + 3*n for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -317 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 3*y**2 - 4*y - 2. Let d be c(4). Let v be (45\/d)\/((-3)\/(-8)). Suppose 4*g - 44 = 2*t, v*g = 2*g - 2*t + 16. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -7*l - 16. Let m(k) = -15*k - 32. Let y(q) = -2*m(q) + 5*n(q). Let f be y(-15). Suppose f = -4*c + 319. 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: Let s = 60 + -60. Suppose -13*o + 0 - 13 = s. List the prime factors of 1*o\/(-2) + 628\/8.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of l**3 + 174796790*l**2 + 152588258?\nAnswer: 3*l**2 + 349593580*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-99)\/(-121) + (-4)\/(-22). Sort r, -2, 0 in increasing order.\nAnswer: -2, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 3 = -b. Let g(k) = -k**2 + 5*k + 3. Let f be g(6). What are the prime factors of f\/b + (14 - -2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/10 of a centimeter?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 8*p + 5 - 5. Let l(d) = -d**3 - 3*d**2 + d + 1. Let u(g) = -g**2 + 1. Determine p*u(z) + l(z).\nAnswer: -z**3 - 4*z**2 + z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1374 + -2134. Let d = a - -764. Sort 1, -3, 7, d in decreasing order.\nAnswer: 7, d, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -89691992 and -89691994 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 12*d**3 - 7*d**2 - 7*d + 7. Let c(o) = 6*o**3 - 3*o**2 - 3*o + 3. Calculate 14*c(h) - 6*k(h).\nAnswer: 12*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 81903 and 759?\nAnswer: 900933","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 3*x = -12, -21953*v = -21947*v - 4*x + 32 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 2*y - 105. Let c = y - 19. Solve -c*v - 3*a = -2*a - 5, -5*v = 5*a for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 243911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 - 1. Let r(b) = b**2 + 8. Calculate -r(n) - 4*w(n).\nAnswer: -5*n**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f - 4*f + 2 + 1 + 2*f to z*f + n and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c*c**(6\/11)))\/c)\/c**(-1)*(c*c*c**1*c)**(20\/9))**5 assuming c is positive.\nAnswer: c**(4130\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n + 10. Let k be h(-5). Suppose 2*o - 5*u - 441 = -k*o, u + 873 = 4*o. Let v = o + -153. List the prime factors of v.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11745 and 12615?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand x + 4*x - 6*x + 4 - 2*x - 4 + 4*x - x - 2*x + (x - 5*x + 3*x)*(-3 + 1 + 4) - 1 + 1 + x.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -24659966, -5.\nAnswer: -24659966, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 + f. Let m(a) = -5*a - a**2 + 0 + 5*a**2 + 4. Let q(h) = 3*b(h) + m(h). What is the smallest common multiple of 10 and q(4)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 5*p - 1. Let c be w(-1). Calculate the common denominator of (68\/(-2))\/((-64)\/c) and ((-99)\/(-24) - 4)\/(2\/(-82)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15719141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 - -20. Suppose 2*r + m - 42 = 2*m, -5*m + 20 = k. Suppose -2*u = -r + 15. Solve -4*b = u*c - 0*c + 32, 0 = -4*b - 2*c - 26 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -252103, -504201, -756299, -1008397?\n\"Answer: -252098*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7488564.68678 + 7488141. Let n = f - -509.686. Let v = n + -86. Round v to 4 dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 - -51. Does 11 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 + a4?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -g - g - 9*g + 0*g in the form y*g + u and give y.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -p + 34. Let i = p - -17. Let x(y) be the first derivative of -y**2\/2 - 5*y + 47. What is x(i)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*y - 133 = -7. Let b(h) = 3*h + 4. Determine b(y).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 529422?\nAnswer: 2, 3, 88237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 5, -385 in decreasing order.\nAnswer: 5, 0.5, -385","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/2))**(-1\/35))**(-23) assuming r is positive.\nAnswer: r**(23\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (10 - (17 + -8))*1\/(-5). What is the biggest value in -8, 3, o, 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -97.3 (c) -1 (d) -0.2 (e) -0.42\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35021120 by -17510560.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/7? (a) -8 (b) 4 (c) 0.5 (d) -2045\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmfa when four letters picked without replacement from {m: 6, f: 4, d: 1, s: 3, h: 1, a: 1}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -268.506841 to one decimal place.\nAnswer: -268.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1211*v - 1207*v = -2417*v - 2*z - 7, -8 = -4*v + 3*z for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - (0 - (-6)\/9). Which is the biggest value? (a) 0.06 (b) 1\/7 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23482 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 2*u**3\/5 + 16638*u**2\/5 + 34611198*u\/5 + 34594562\/5 = 0.\nAnswer: -4159, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1237*y = 16296 + 50502 for y.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-24))\/((-2)\/9)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t - 27 = -a - t, 20 = 4*a + 2*t. What is the units digit of 1\/(22\/a + -3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**4\/5 + 269*n**3\/5 - 13274*n**2\/5 - 104744*n\/5 - 18240 = 0 for n.\nAnswer: -6, -1, 76, 200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3943*o - 39620 = 11095 + 4487 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 226768 by 5.\nAnswer: 226768\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hkkhhwkkwklwnwkwwkw. Give prob of sequence khkk.\nAnswer: 35\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 122.74436974 + -7.2785819. Let h = 21.46578154 - s. Let w = h - -94. Round w to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t**3 + 57*t**2 - 11. Give z(-19).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1625*t + 600 = 1550*t for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 8:45 AM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -186828 by 6.\nAnswer: -31138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of 2485*o**3\/6 - 6911*o**2\/2 - 1345*o + 1. What is the first derivative of v(f) wrt f?\nAnswer: 2485","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14647610 by 2929522.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*c**4 - 95*c**3 + 6*c**2 + c + 34778 wrt c.\nAnswer: 108*c**2 - 570*c + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**3 - 19*q**2 - 6*q + 6. Let y(d) = -6*d**3 + 57*d**2 + 17*d - 17. Determine -17*m(b) - 6*y(b).\nAnswer: 2*b**3 - 19*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 93 = x + 4*c, 0 = -3*x + 3*c + 300. What is the greatest common divisor of x and 1704?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2949408 is divided by 1315?\nAnswer: 1178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of -w**4\/4 + w**3\/3 - 34*w + 3312. What is r(0)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*p**4 + 67 + 2*p**2 - 12*p**3 + 11*p**3 + 2*p**4 + 5*p**4 - 4*p**4 as s*p + f*p**4 + i*p**3 + a*p**2 + u and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 0.3, 1.5, 34, 0.2 in descending order.\nAnswer: 34, 1.5, 1, 0.3, 0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 10*o - 2. Give k(-2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/4))**(2\/17)*(j**(1\/4))**19)**(-4\/13) assuming j is positive.\nAnswer: j**(-321\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 4*n - 53 - 110, 0 = d - 5*n - 118. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13.549 + 0.1034388291.\nAnswer: -13.4455611709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-2 + (-2*sqrt(363)*4*-2 - (0 + sqrt(363)*1 + 1)) + 1)**2.\nAnswer: -660*sqrt(3) + 81681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3*h = 4*h + 1, -5*v + 5 = -5*h. Suppose v = -3*n + 44 + 4. Suppose 0 = -5*c + 2*c + 6. What is the least common multiple of n and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oow when three letters picked without replacement from {o: 5, w: 5, r: 1}?\nAnswer: 10\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7546*r + 3*w = -7547*r + 2, 2 = 2*w for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*w**3*z - 331152*w**3 + 7*w**2*z + 2*w**2 + 3*w*z + 41*z + 2 wrt z.\nAnswer: -9*w**3 + 7*w**2 + 3*w + 41","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**5 - 99*q**4 - 1724*q**3 + 77292*q**2 + 2190240*q + 4059072 = 0. Calculate q.\nAnswer: -54, -36, -2, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.7434055 to one dp.\nAnswer: -4.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6 - ((-3)\/2)\/((-2)\/(-4)). List the prime factors of 1\/(-3*o\/297).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14\/(-49) + 284\/14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**9\/p*p)\/((p\/(p\/(p*p*p*p**22*p))*p)\/p))\/(p**(2\/17))**(4\/31))**(-1\/2) assuming p is positive.\nAnswer: p**(8967\/1054)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, -0.5, -5\/37?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -299*j - 21. Let u(s) = 354*s**2 + 347*s**2 + 346*s**2 - 1398*s**2 + 349*s**2. What is p(u(q))?\nAnswer: 598*q**2 - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 962 - 966.91. Let y = p - 0.09. Let b = 26\/9 - 20\/9. What is the closest to -2 in y, -2\/3, b?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 537.9981l in millilitres?\nAnswer: 537998.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13\/2 + 61\/10. What is the closest to 0 in 1\/2, l, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.03 from 189.67.\nAnswer: 189.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-11))**(-3\/14) assuming f is positive.\nAnswer: f**(15\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86658 is divided by 314?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1102?\nAnswer: 2, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000015358 rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 5*n + 4*x - 14, -5*n - 9 = -x for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one sixteenth of a milligram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 + 0.7. Suppose 72 = -40*b + 32*b. Let l = 25\/3 + b. Which is smaller: l or i?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*v - 3*b - 18, 824*b = -4*v + 828*b + 24 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/2848537 or 37?\nAnswer: -8\/2848537","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8150 = -1087*f + 1246*f - 3775 for f.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -634134 (base 10) to base 7.\nAnswer: -5250534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 182*t - 1425. Let b be m(8). Solve -b*u + 97 + 89 = 0 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**4 - u**2 + u. Let g(o) = -o**2 - o. Let f(q) = -d(q) + g(q). What is the second derivative of f(i) wrt i?\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*g - 256 = 3*d + 601, -4*g = -4*d + 2*d + 54 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 5:31 AM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.092102 to 2 decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 36*j + 676. Let g(n) = 2*n - 7. Calculate r(g(t)).\nAnswer: 72*t + 424","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 + 14*u - 28. Let c be k(5). Solve -16 = -4*w, 5*t + w = -c - 4 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1153865897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*z**3 + 0*z**2 + 0*z**2)*(3 - 3 - 2*z) - 902*z**4 + 562*z**4 - 892*z**4 to r*z + u + c*z**4 + i*z**3 + p*z**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 67715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1429159 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 10 = 3*c + 4*n, -3*c - 14 = 5*n. Sort c, 2, 3.\nAnswer: c, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10 + 3 - 5)*(2 - 2*a - 2)*(-3 + 0 + 5) in the form h + y*a and give y.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1290?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -15337, -31577, -47817?\n\"Answer: -16240*j + 903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5120, -41299, -139496, -330719, -645976, -1116275?\nAnswer: -1772624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -17473?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - 0. Let l = 25 + i. What is the remainder when l is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 53187339\nAnswer: 1\/17729113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -50*s - 6. Suppose 5*n + 17 = -3. Let l be a(n). Find the third derivative of -l - 8*d**3 - 14*d**2 + 194 - 5*d**2 wrt d.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -4*y + 44. Let q be p(10). Determine o so that -2\/5*o**q - 2\/5*o**3 + 0 + 2\/5*o**5 + 2\/5*o**2 + 0*o = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l + 13. Let q be w(-7). Let h be (-20)\/105 - 4\/q. Let t be -3*((-68)\/30 + 2). What is the closest to 2\/5 in h, -1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1620.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 189 a factor of 213093508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 4*s = 136, 2*o = -2*s - 12 + 52. Let q be (-11)\/(-4) + 6\/o. Let p = 771 + -769. Solve p*u = q*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 913 and 143?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is two ninths of a week in minutes?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2427597 and 90099.\nAnswer: 1269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -12*a**2 - 10*a**2 + 16*a**2. Let n(k) = 2*k**2. What is n(i(f))?\nAnswer: 72*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, q: 6, c: 1, i: 3}. Give prob of sequence eqcq.\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (70\/252)\/(-2*3\/18). Sort n, -2, -1.\nAnswer: -2, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -1, 2, 97941, -4, 3 in descending order.\nAnswer: 97941, 3, 2, -1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2069365.\nAnswer: 5, 109, 3797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-80)\/(-15) - 1\/3. Let u = 125561 - -957172. Suppose 3*k + a*x = -2130005, -x = -2*k - u - 337266. Round k to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12*z - 13*z - 18*z)*(-z**2 - z**2 + 4*z**2 + (z + 3 - 3)*(z + 39 - 39)) to the form t*z**3 + s*z**2 + c + x*z and give t.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o**3 - 3185*o**2 + 502650*o + 1018080 = 0 for o.\nAnswer: -2, 303, 336","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -21*u + u + 6*u. Let k(a) = 2*a**2. Determine c(k(n)).\nAnswer: -28*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1425205, -1425203, -1425201, -1425199?\nAnswer: -1425197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 3*d**4\/4 - 80025*d**3\/2 - 28855152*d**2 - 5196441576*d - 10277782656 = 0.\nAnswer: -356, -2, 54064","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 24*w. Let j(n) be the first derivative of -n**3\/3 + 8. Determine s(j(k)).\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2111021022120 (base 3) to base 6.\nAnswer: 44214023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -4*d. Let m(s) be the third derivative of 3*s**2 + 0*s + 0*s**3 + 1\/12*s**4 + 0. Calculate m(b(g)).\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11\/3, 4, 1\/31 in descending order.\nAnswer: 4, 1\/31, -11\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/2 + ((-2005)\/245 - -4). Which is greater: s or -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-54)\/(-24))\/((-2)\/(-40)). Suppose -g + d = -6*g. List the prime factors of ((-20)\/(-6))\/((-3)\/g).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-2)*12\/(-60)*1. Let m(u) = u**3 - 5*u**2 - 5*u - 5. Let o = 9 - 3. Let a be m(o). Is f at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1dad53b + -2b?\nAnswer: 1dad510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -7\/33?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8256120 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 1*sqrt(171) - (sqrt(171)*-2 + -3))*-2)**2.\nAnswer: 288*sqrt(19) + 6220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10552 and 1993?\nAnswer: 21030136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**2 + l**2 + l**2 + (0 + 3 - 1 + (-1 - 3 + 3)*(1 + 0 + 1) + 2 + 0 + 0)*(2*l**2 + 4*l**2 - 3*l**2) + (6*l + 6*l - 5*l)*(-1826 - 16*l + 1826).\nAnswer: -105*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 5*l - 64. Solve 0*j + 4*j + l = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of -y**4\/4 - y**3\/3 + 17*y**2\/2 - 11*y + 33. Let v be d(-5). Solve v*q = 4*m - 4, q - 5*m - 16 = 3*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -20*p**2 + 8*p + 54. Let i = 8 + -11. Let m(c) = 19*c**2 - 11*c - 53. Let w(z) = i*h(z) - 2*m(z). Differentiate w(f) wrt f.\nAnswer: 44*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -1\/7, -0.4918, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4716?\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-6)*5)\/((-2)\/6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7361?\nAnswer: 17, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 8*s**2 + 7*s + 2. What is q(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 0.1, 0.3, 5\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5860041881 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/((-4)\/(3 - -49)). Suppose -o - 2*o - w = -5*m, 3*o + 80 = 2*m. Let s be 1\/(1 + o\/4). Which is the second smallest value? (a) 0 (b) s (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -7*q - 27. Determine k(-20).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-90)\/(-24))\/(36\/19536) is divided by 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25521590 divided by -150127?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -5*t + 50. Let j be q(10). Solve -3*m - 8 = -5*l, -m - 3*l + 16 = -j*l for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1756?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in three fifths of a century?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*y - 2 = -39 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 + 6*v. Let q be j(6). Suppose q*p = 5*p - 15. Suppose -p*x = 5*z - 2*x - 42, 5*x - 2 = z. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.0217 and -16947.9?\nAnswer: 16947.8783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1567*t + 1578*t - 2192839. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3*1 + -1)*20\/(-16). Suppose -6*s = -b*s - 59. Are 60 and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2475*p**2 + 15*p + 11. Is s(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -650 (base 12) to base 7.\nAnswer: -2460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**2. Let h(y) be the first derivative of 5*y + 25 + 7\/2*y**2. Determine x(h(q)).\nAnswer: 98*q**2 + 140*q + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 76*u**2 - u - 4. Let w = 26 + -29. Is s(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 25, 36, 49, 64, 81, 100?\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -275*p - 4*n = -877, 135*p + 4*n = 140*p + 37 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 90*f - 2300 + 94 - 1389 for f.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/((-490)\/(-4)))\/((-2)\/(-10))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -998*t = -11327 - 38270 + 1115 - 11398 for t.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 + 6*y - 14. What is m(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d - 46 - 23 + 161 + 413 + 334 to the form i + l*d and give i.\nAnswer: 839","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5 - (-30)\/(-4)) + 1. Let d = -1354 - -1364. What is the nearest to -0.02 in 2\/3, b, 1, d?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -43664684*h**3*m - 32*h**2*m - 3*h + 179*m - 163 wrt h?\nAnswer: -261988104*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 19*y**2 + 15*y + 61. Calculate the remainder when x(18) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of -t**6\/120 + 9*t**4\/8 + 683*t**3\/3 - 6*t**2 + 76*t. What is the first derivative of w(v) wrt v?\nAnswer: -3*v**2 + 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16\/730*22\/5456*310\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1883, 2011, 2223, 2519, 2899, 3363, 3911?\n\"Answer: 42*j**2 + 2*j + 1839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 12*u**2 - u - 5. Let b(a) = 23*a**2 - 2*a - 9. Give -6*b(q) + 11*r(q).\nAnswer: -6*q**2 + q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26698533.798812 - 26698487. Let w = b + -46.8. Round w to four decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, 65, -6\/7, -232, -22\/5 in descending order.\nAnswer: 65, 1\/7, -6\/7, -22\/5, -232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 186 - 93. Let i = -92 + d. Let c(t) = 2178*t**3 - t**2 + t - 1. Is c(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of l**9\/20160 + l**8\/4800 + l**7\/4200 + l**5\/30 + l**2. Let s(r) be the third derivative of c(r). Factor s(v).\nAnswer: 3*v*(v + 1)*(5*v + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 - ((-675)\/(-679) + 2). Let t = p + -67253\/5432. What is the common denominator of t and (14\/(-16))\/(2\/(-44))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 45*g - 61. What is n(1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (51 + 37 - 26)*(5*t - t - 2*t).\nAnswer: 124*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2165 - 15c04?\nAnswer: -13a7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 75760097 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 936\/48*(12\/42)\/((-24)\/56)*-3.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 75907 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*f = 13*f - 15 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -219140.\nAnswer: 65742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 - 13*f - 10. Let h be v(14). Suppose -4*m = -0 - h. Solve -m = -y + 1 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of 0*f**6 + 1\/3*f**3 - 2*f**2 + 0*f**5 + 0*f**4 + 0 + 0*f - 2\/105*f**7. Find the first derivative of g(w) wrt w.\nAnswer: -16*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -12*o + 3. Let a be w(2). Let u be 1\/(-2 - a\/12). Let t(n) be the third derivative of -n**6\/120 - n**5\/15 - n**4\/8 - 2*n**3\/3 - n**2. Calculate t(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - -405?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + 12*v - 7*v)*(-21 + 60 + 55).\nAnswer: 658*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 64, -2\/3, 4, 1.6, -3\/8 in descending order.\nAnswer: 64, 4, 1.6, -3\/8, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -a + 35, -2*m + 15 = 4*a - 17. Let x = 12 - m. Let v be (-242)\/(-5) + 8\/(-20). Calculate the highest common factor of x and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 69487*t**2 - 5*t - 471 wrt t?\nAnswer: 138974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 6*d. Suppose -5000000 = -d*g + 2*g. Round g to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.98 - -0.22. Let k be (-4)\/16 - 50\/(-136). Sort 5, f, k in ascending order.\nAnswer: k, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1902376 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 + 12)*2\/22.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90, -173, -312, -507, -758, -1065, -1428?\nAnswer: -1847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2024318.7 months to millennia.\nAnswer: 168.693225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 75*p**2 - p - 30 - 57*p**2 + p with respect to p.\nAnswer: 36*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k + 7. Let a be m(6). Let s be 7146\/21 - (-4)\/(-14). What is the tens digit of (-2)\/a + s\/25?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r. Let p(t) be the third derivative of t**6\/180 - t**4\/8 + 2*t**2. Let v(l) be the second derivative of p(l). Give o(v(c)).\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, r: 1, h: 1, l: 2, u: 2, n: 6}. Give prob of picking 2 j.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.071 and 55.99435.\nAnswer: 56.06535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -144813, -286621, -428429, -570237?\n\"Answer: -141808*q - 3005","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -82 - -133. Let x = d + -46. Solve -x*t = -2*t - 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 27 + a?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 10*w**2 + 22*w - 17. Calculate the lowest common multiple of x(-12) and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 104\/(-364) + (-884680)\/(-70)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 6\/59 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -701, -699, -697, -695?\nAnswer: -693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1085 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: Find the third derivative of -2*c*g*q**3 + 2*c*g*q*y**2 + 2*c*q**3*y - c*q**2*y**2 + c*q*y**2 - 4*g*q**3*y**2 + 7*g*y**2 wrt q.\nAnswer: -12*c*g + 12*c*y - 24*g*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -5*l - 4. Let z be q(5). Let m = 52 + z. Is m a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 27b4 + c?\nAnswer: 27c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 58 + -45. What is the smallest common multiple of 5 and n?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 608\/7055 or 1\/3?\nAnswer: 608\/7055","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**2*p**(-2))**(-26) assuming p is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -627*u**2 + 122*u**2 + 0 - 409*u**2 + 10 to the form a + q*u**2 + l*u and give a.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - -12. Let k(t) = t - 3 - f + 2. What is k(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20757 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -9, 62, 279, 714, 1439, 2526, 4047?\n\"Answer: 12*n**3 + n**2 - 16*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-61))\/((1\/(-18))\/(263\/(-2367)))?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of 5\/3*c**3 - 5\/42*c**7 + 0*c**2 + 25\/12*c**4 + 0 + 2*c - 1\/6*c**6 + 3\/4*c**5. Suppose v(h) = 0. Calculate h.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*w = 275 + 90. Let p(l) = 3*l**3 + 2*l**2 + 2*l + 2. Let y(v) = -6*v**3 - 5*v**2 - 5*v - 5. Give w*p(z) + 2*y(z).\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h*l**5 - 152*h*l**2 + 2*h + 8*l**6 wrt l?\nAnswer: 120*h*l**2 + 960*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22549653 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 1.1. Let v = -180 + 185. Suppose -o - 15 = -w, 4*o - 22 + 96 = v*w. Which is the nearest to 0? (a) j (b) w (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**2 - r**2 - 2*r**5 + (3*r - 2*r**4 - 3*r)*(-3*r - 5*r + 2*r) + 2*r**5 + 3*r**3 + 10*r**5 + 0*r**3 + 11*r**5 + 8*r**5 - 6*r**5.\nAnswer: 35*r**5 + 3*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1107543.\nAnswer: 3, 369181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.1 or 84\/29?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -17482*i**2 + 20*i + 25. Let q(b) = -26223*b**2 + 28*b + 35. Give -7*l(d) + 5*q(d).\nAnswer: -8741*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 89*o + 3044. Let z be x(-27). Does z = 641?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 884775 and 56400.\nAnswer: 3525","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 531, 11, -1 in descending order.\nAnswer: 531, 11, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.02 - 0.42. What is the smallest value in n, -0.2, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hv when two letters picked without replacement from {h: 2, v: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 1 + (-7 - -11).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3549 divided by 7.\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51\/2*(-11)\/(-231)*-14.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 796 = 4*b, -m + 0*b - b + 401 = 0. Let l = -83 + m. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24104450 (base 6) in base 8?\nAnswer: -2703156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z**3 - 11*z**2 - 13*z**2 - z**4 - 3 + 24*z**2 as o*z**2 + k*z**3 + a*z + n*z**4 + u and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -92\/11, 2, -28.77?\nAnswer: -28.77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**3\/7 - 772*g**2\/7 - 638536*g\/7 - 3291408 = 0. Calculate g.\nAnswer: -378, -38, 802","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of 0*r**6 + 5*r**2 + 0*r**7 + 0 + 0*r**3 + 0*r**5 + 1\/56*r**8 + 0*r - 1\/3*r**4. What is the second derivative of n(t) wrt t?\nAnswer: 120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 0*x + 2*x)*(-2*x + 2*x + 2*x) + 4*x**2 + 5*x**2 - 5*x**2.\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27149786*-11.\nAnswer: 298647646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1072 + 3386. What are the prime factors of s?\nAnswer: 2, 3, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three thirds of a week in hours?\nAnswer: 1288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(sqrt(10) + -4*sqrt(810)) - sqrt(30)\/(-2*sqrt(10))*6.\nAnswer: 104*sqrt(3)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of n**3\/3 - n**2\/2 + 3. Solve y(d) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5990909*l + 5990916*l - 17972743*l + 5990915*l.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3\/8 - 9*t**2\/4 - 189*t\/8 - 81\/2.\nAnswer: 3*(t - 12)*(t + 3)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.4 - -0.6. Let m = 2.8 - s. Let l be (-4)\/54*-9*3*(-2)\/14. Sort 2, m, l.\nAnswer: l, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2\/13)*t\/(t*t\/(t*(t\/(t*t*t**(-15))*t)\/t)) assuming t is positive.\nAnswer: t**(180\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19773 and 3087?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 12*s**3 + 242*s**2 + 43*s - 34. Determine h(-20).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g - g + 2*g)*(-g**2 + g**3 + g**2) + (0*g**3 + 2*g**3 + 0*g**3)*(9398 - 9398 - 7*g) + 16*g**4 - 74 + 74.\nAnswer: g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/36 and 27\/56.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - -10 - (3 + -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 112 and 1472.\nAnswer: 10304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/3 + 44*r - 3872\/3.\nAnswer: -(r - 88)*(r - 44)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 191*q*y**2 - 3603*q - 90*y**2 + 70 wrt y.\nAnswer: 382*q*y - 180*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of -f**6\/360 - f**5\/60 - f**3\/6 + 2*f**2. Let j(u) be the first derivative of s(u). Factor j(n).\nAnswer: -n*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 5 - 17. Suppose 2*v = -o*v + 10. Let k(n) = 4*n + 3 - n**2 - n**v + 5*n**2. What is k(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 833*k - 119980. What is w(144)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1031 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uub when three letters picked without replacement from bbuburuuujurjjuuu.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from xxxxxxgx?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 + 2*r - 17. Let o be y(-7). Suppose 0 = -w - o + 209. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 63*p**2 + 1069. Let c(l) = 5*l. Determine c(z(w)).\nAnswer: 315*w**2 + 5345","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14\/15*g + 0 - 2\/15*g**2.\nAnswer: -2*g*(g + 7)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 33*f**2 - 5*f + 5. Let c(h) = 32*h**2 - 4*h + 4. What is -5*c(d) + 4*y(d)?\nAnswer: -28*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 101010011111001101000 (base 2) in base 10?\nAnswer: 1392232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z**(-1\/19)*z)\/z)\/z**(1\/5))\/(z**(9\/4)*z\/(z*z**(-6\/5))) assuming z is positive.\nAnswer: z**(-1027\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -128957196 divided by -111362\nAnswer: 1158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, -368, 4, 1 in increasing order.\nAnswer: -368, -5, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/2)\/(442\/52)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a centimeter in micrometers?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 807 = -9597. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000009951 to six dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i**3 - 4*i**2 + 5*i - 4. Determine w(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 34\/6 - (-4)\/(-6). Suppose 2 - 4 = u, 3*a - 8 = -s*u. Suppose 0 = -2*d - d + a. Solve -d*j = -4*y + 6 + 2, -5*y + 10 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 10 = -46. Let x(j) = 2*j**2 - 8*j - 9. Let y(q) = q + 1. Let i(l) = b*y(l) + 2*x(l). Does 15 divide i(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + 6*k**2 - 6*k + 1. Let c be i(4). Let h = 7 - 5. Solve 5*v = 3*g + c, -g + h*v = -4*g - 9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 5*d = 5, 2*d = -2*a + 3*a - 11. Let t be (a*-3 + 2)*-1. What is the units digit of -3 + (1 - -1) + t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.40974ml in litres?\nAnswer: 0.05240974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2795 and 3250.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 279*i = 250*i - 116 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 214 divide 4613626?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1035c (base 13) to base 10\nAnswer: -29145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -25776, -27876, -29982, -32094, -34212, -36336?\n\"Answer: -3*u**2 - 2091*u - 23682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3528\/343 - (-4 + 12)?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3070, -6141, -9212, -12283, -15354, -18425?\n\"Answer: -3071*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + 1 + -2 + 2. Suppose 5*v - t - 4 + 12 = 0, -2*v + 3*t - 11 = 0. Which is the nearest to -0.4? (a) -2 (b) s (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*s**3 + 5*s**3 - 4*s**3)*((s - s + 2*s)*(1 - 2 - 1) - 79 + 79 + 3*s)*(3 - 3 - 10).\nAnswer: 80*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12256 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2307\/8 - 288. Let l = -779 - -2338\/3. Sort g, 5, l in descending order.\nAnswer: 5, g, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6.494929 and -6.\nAnswer: 0.494929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 144230 (base 5) in base 11?\nAnswer: 4718","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 173772?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k**(-2)\/k*k))**(4\/3))**(-20)\/((k**(2\/23)*(((k\/k**(-1))\/k)\/k)\/k)\/(k**1)**12) assuming k is positive.\nAnswer: k**(-6469\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**(-2\/3)*z**(2\/7)*z*z**(-13)*z\/z**(3\/2) assuming z is positive.\nAnswer: z**(-499\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -18449 bigger than -0.11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 5, -2*p + 34 = 2*p - 2*h. Let v be 6\/(-18) + 14\/p. Solve 0 = -v*u + u - 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -36*n**2 - n + 6. Let r(z) = 73*z**2 + 2*z - 13. Let s(q) = -13*m(q) - 6*r(q). Let h(w) = w + 1. Let l be h(0). Is s(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r*r\/r**(4\/5)*r)\/r)\/r*r*(r*r**(-2\/5)\/r)\/r)**36 assuming r is positive.\nAnswer: r**(144\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v**3 + 1152*v**2 + 16923*v - 6070680 = 0 for v.\nAnswer: -73, 72, 385","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of t**6\/80 - t**5\/160 - t**4\/32 + t**3\/48 - 10*t - 41. Let a(i) be the first derivative of r(i). Factor a(q).\nAnswer: q*(q - 1)*(q + 1)*(3*q - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 0.4 (c) -185 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.955439 - -0.89769.\nAnswer: -4.057749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 - 3*m + 3. Suppose 112 = -38*a + 22*a. Determine l(a).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -101\/4 - -131\/4. What is the common denominator of u and (-2)\/10*(-505)\/(-22)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from pkkpxkkm.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 40\/38951?\nAnswer: 40\/38951","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19.91328 litres?\nAnswer: 19913.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8.17 + 0.17. Let c = k + 8.2. Which is bigger: -2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 475?\nAnswer: -470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/4*(-208)\/39. Let m be ((-90)\/y - 8)*36. Suppose -2*o + 4*p = 20, -2*p + 4*p - 58 = 4*o. Are m and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hk when two letters picked without replacement from jrkhshhhh.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*f**3 + 2*f**3 + 2*f**2 + 2*f**3 - 3*f**2 to the form b*f**3 + w + o*f + k*f**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y + 2*y + 4*y)*(-2220 - 458 + 4806)*(4 + 1 - 4).\nAnswer: 4256*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 196506 - 12773139\/65. Let a = -18\/5 - y. What is the biggest value in a, 2, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76736969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 319 - 301. Which is bigger: 20 or x?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*b**2 - 20*b**2 + 12*b**2.\nAnswer: -27*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 58621 divided by 5?\nAnswer: 58621\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.35 - 0.334. What is u rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -7*z - 6. Let n(u) = -5*u**2 + 2*u + u**2 + u**3 - 3 + 0. Let s be n(3). Is 12 a factor of a(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 8:10 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11353338 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10209.\nAnswer: 3, 41, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 36?\nAnswer: 14.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25773*g**2*o**2 - 7*g**2*o - 151504*g**2 + 2*g*o**2 + 24*o**2 wrt o.\nAnswer: -51546*g**2 + 4*g + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r**3\/8 + 61927*r**2\/8 + 12702641*r\/4 = 0. What is r?\nAnswer: -61514, -413, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2490 + 3493. Suppose -4*z + c - 139 = 0. Let j = -2498 + 2525. What is the highest common divisor of j and z?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - k + 17. Let h be t(8). Let n = h - 69. Let j(i) = 5 + 18*i - n*i - 10*i. Let g(w) = 2*w + 3. Calculate -5*g(v) + 3*j(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**3\/8 + 191392377*x**2\/8 - 381573341930790*x - 763146731709675\/2 = 0. Calculate x.\nAnswer: -1, 31898730","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/1 + (4 - 3). Let z = s - 8. Let c be (-4)\/z*27\/6. Solve c = -j + 1 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/13 - 62*h\/13.\nAnswer: 2*h*(h - 31)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + s = 5*n + 16, -5*s + 35 = -5*n. Let r(z) = -z**2 - 3*z - 4. Determine r(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19314914?\nAnswer: 2, 9657457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*n - 11 + 11)*((2 + 1 + 0)*(2 + 3 + 8) - 3 + 8 - 20).\nAnswer: -168*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a hour in seconds?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pe when two letters picked without replacement from {u: 1, g: 1, e: 2, f: 3, j: 3, p: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 4*y - 2186 + 14807, -4*y = 4*z - 10068. Does 8 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -4*j - 1. Let n(w) = -2*w**3 - 2*w**2 + w - 2. Let b be n(-2). Let a = 138 + -131. Let r(y) = -1 - b*y - a*y - 2. Determine -17*o(t) + 6*r(t).\nAnswer: 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 21 = -5*y, 3*o = 6*o - 4*y - 25. Suppose 16*v - 117 = o. Let i = -3 - -3.1. Which is the closest to 0? (a) v (b) 3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -135488120 rounded to the nearest 100000?\nAnswer: -135500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -3*g. Let o(l) = 31*l - 3. Let w(k) = -62*k + 7. Let h(f) = -5*o(f) - 2*w(f). Determine h(d(a)).\nAnswer: 93*a + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 77 and 161?\nAnswer: 1771","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 - 18*w - 210. Let d be o(-8). Let l(k) = 2*k**2 - 3*k. Let h(z) = 9*z**2 - 16*z + 1. What is d*h(a) + 11*l(a)?\nAnswer: 4*a**2 - a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 - q**2 - 3. Let o be b(0). Let g = 8 + o. Suppose 52*l - 27*l = 75. Solve -4*f = 4*h, 1 = -g*h - l*f - 9 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide ((-14)\/(-35))\/(1\/95)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 553*h = -868*h - 12789 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -23105 + 2202?\nAnswer: -20503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2835 and 141?\nAnswer: 133245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that c**2\/6 - 16*c = 0.\nAnswer: 0, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 577515 + -365454. Let o be (2 + -91 + -2)*-3671*(4 + -5). Let b = q + o. Round b to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**4\/3 - 229510*g**3\/3 - 3672518*g**2\/3 - 17674538*g\/3 - 7498372 = 0. Calculate g.\nAnswer: -7, -2, 114771","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = 2*k - 8, a + 12*k + 2 = 9*k for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 3*k - 70. Let y(p) = -p + 34. What is -2*c(a) - 5*y(a)?\nAnswer: -a - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.84622km to nanometers.\nAnswer: 84846220000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -21*v**2 - 23*v - 2. Let f be n(-1). Let w(d) = d**3 - d**2 + 12. Calculate w(f).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of -m**6\/15 - m**4\/8 + 8*m**2. What is the second derivative of x(g) wrt g?\nAnswer: -48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -214 + 406. Is 18 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2578, 2593, 2618, 2653?\nAnswer: 2698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of v**3\/4 - 21*v**2\/4 - 45*v\/4 - 114. Determine w so that j(w) = 0.\nAnswer: -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 94764659, 94764663, 94764667, 94764671, 94764675, 94764679?\n\"Answer: 4*t + 94764655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**2 - 2*d**2 + 4*d**2)*(-1 - 5*d + 1 - 2*d**2).\nAnswer: 2*d**4 + 5*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r - 7. Let w(g) = -3*g + 20. Let p(d) = -8*n(d) - 3*w(d). Let f be p(5). Solve f = -h - 2 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/35 and 4 + 3 + (-4248)\/392 + (7 - 3).\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26 by 199.\nAnswer: -26\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 52? (a) 3\/7 (b) -1 (c) -2\/21 (d) -231\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*1 - (6 - 15). Let z(r) = r. Let c be z(5). Solve 2*x + n = -3*h, 1 - 20 = h - c*x for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -628 + 636. What is the highest common divisor of d and 384?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 20*1*(-11)\/(-22). Let h be 12\/(-20) - 1034\/t. Let l = 225 - h. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 24 = 6*h. Suppose -5*i + 6 = q, 2*i + 3*q - h = -3. Suppose d - 4 = -i. Solve 0*r = -d*r - 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -8, -2*z + 3*z - 13 = 2*z + 5*a - 2*a - 8 for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/46440 and -167\/739200?\nAnswer: 286070400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/a**(-2\/5)*a**(3\/2) assuming a is positive.\nAnswer: a**(29\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.5054418 weeks?\nAnswer: 305691200.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2419743, -2419757, -2419771, -2419785?\nAnswer: -2419799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -118\/5 - -24. Let v = 169 + -91. Let y = v + -77.9. Put -1\/9, y, c, -3 in descending order.\nAnswer: c, y, -1\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -170 (b) 0.5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38946?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -219, -798, -1755, -3084, -4779, -6834?\n\"Answer: x**3 - 195*x**2 - x - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + p + 21, -4*w = -2*p - 122 + 32. Suppose 3*u + w = -u. Let c(n) = -3 - 3*n - 8*n**2 + 1 - 5 + 9*n. Let r(f) = f**2 - f + 1. Give u*r(q) - c(q).\nAnswer: 2*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t. Let s(o) = -5*o + 2. Give -4*n(r) + 2*s(r).\nAnswer: -2*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 2 = t. Suppose q = -q + t. Solve 6 = q*a - 9 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 16, -180 in ascending order.\nAnswer: -180, 1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-172)\/(-258)*(-1)\/2*-57?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29323591?\nAnswer: 11, 2665781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.09 plus -164.603?\nAnswer: -178.693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 877.912um in meters?\nAnswer: 0.000877912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1096170 times -50\nAnswer: -54808500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110110000111 - 100100?\nAnswer: -10110110101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 562800 divided by -150\nAnswer: -3752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 192 and 1122024.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x - 41 - 69 = 0. What is the greatest common divisor of x and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 2*q**2 - 14. What is the remainder when 265 is divided by s(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7\/11 + 137\/198. Is -1 equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 19 + (7 - 8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-1168)\/(-24))\/((-6)\/(-9)) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/15 (b) 3 (c) 0.8 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 110343 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 301\nAnswer: 4\/301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.04 + -0.36. Let w = 5274 - 5271. Which is the nearest to -2\/5? (a) 2 (b) w (c) v (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10045 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35068 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z = 22 + 48. Suppose -z*p = -351 - 825. Is p a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/2*71*-4. Suppose -d = -x + 83. Does 15 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1227 - 10*y - 3*y + 11*y - 7150.\nAnswer: -2*y - 8377","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(38\/7 + -6). What is the nearest to -2\/7 in 2, h, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 21\/(-14) - (-98)\/60?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3570, 7139, 10708?\n\"Answer: 3569*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -26 + 0*v + 2*v + 16. Is o(8) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 2 = -a. Let o(u) be the first derivative of -6\/5*u**5 + 4*u**a + 0*u + 13\/2*u**4 - 2 - 32\/3*u**3. Factor o(s).\nAnswer: -2*s*(s - 2)**2*(3*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 8:31 PM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 153663, 153669, 153685, 153717, 153771, 153853, 153969?\nAnswer: 154125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 116130.\nAnswer: -46452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67389, -134780, -202171, -269562?\nAnswer: -336953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - q)*(-2081*q + 666*q + 9912*q)*(-q + q - q**2) as d + z*q**3 + g*q**2 + t*q + a*q**4 and give a.\nAnswer: 8497","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -10270448524121 + 0.06\nAnswer: -10270448524120.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2196659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 321*g - 320*g. Solve 8 + g = 3*m, q + 1 = -m for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*w - 29*w + 608 = 0. Let n = 81 + w. Let o(a) = n*a - 23*a + 10*a - 1. Give o(2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -126620 (base 7) to base 3.\nAnswer: -1012212222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 9:13 PM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.3 + -0.3. Let g = 0.18 + -0.88. Let l = -1 - g. Which is the second smallest value? (a) 0 (b) z (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (30\/(-20))\/(1\/(-2)). Suppose q + 42 = 3*o. Calculate the greatest common factor of 120 and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 842899 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - 2*x + 2*x)*(-2*x**2 - x**2 + 2*x**2) - 440*x**3 + x**2 + 3 + 24*x + 25*x + 444*x**3.\nAnswer: 6*x**3 + x**2 + 49*x + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -66364 take away 1982.6?\nAnswer: -68346.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-31 + (1 - 2)) - (-185 + 389 + -193)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 911306965 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -14*s**2 + 1. Let f(j) = -3*j**2. Give 11*f(c) - 2*w(c).\nAnswer: -5*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -194*x**5 - 8345*x**4 + 8345*x**4 + 3 - 3 + x**5 + (x + 2*x**2 - x)*(-2*x**3 + 0*x**3 + 0*x**3) + 2*x**5 + 0*x**3 + 0*x**3 + 4 - 4 - 2*x**5.\nAnswer: -197*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p + 5. Let m(h) = -4*h + 11. Determine -5*f(q) + 2*m(q).\nAnswer: 2*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-207)\/(-5) + ((-18)\/(-5))\/(-9). Suppose -c + 9 = -4*z. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/17)\/q)**44*(q**(-2)*q)**(1\/12) assuming q is positive.\nAnswer: q**(-7937\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000449263 to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (78\/(-4))\/((-1)\/18359). Let w = -223390477\/624 + x. Let m = -49\/78 + w. Find the common denominator of -83\/8 and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -68.02395 to zero decimal places.\nAnswer: -68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 PM and 9:38 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -s**3\/3 + 5*s**2\/2 + 2*s + 8025. Let j(h) be the first derivative of -3*h**2 - 3*h - 4. Give 2*j(b) + 3*u(b).\nAnswer: -3*b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1085\/35 + -20 + -10.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.277 rounded to the nearest integer?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2144)\/938*(-15)\/(-30)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -842*r**3 - 448*r + 12*r**2 - 304 - 4*r**4 + 1575*r**3 - 581*r**3 = 0.\nAnswer: -1, 2, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3 - 10080*q**2 + 459858*q - 2047540.\nAnswer: 2*(q - 4994)*(q - 41)*(q - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -0.26 (c) 4 (d) -0.4 (e) -0.03943\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*w**3 + 19*w**2 - 47*w - 3 wrt w?\nAnswer: -12*w + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 419748736.\nAnswer: 2, 11, 241, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4596 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -193, -194, -209, -244, -305, -398?\n\"Answer: -i**3 - i**2 + 9*i - 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -7*b**2 + 5*b + 10. Let j(x) = 3*x**2 - 2*x - 5. Let w(u) = 5*j(u) + 2*m(u). What are the prime factors of w(5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 82955 and -321220896.\nAnswer: -321137941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3947 = -15*t + 3872 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201 + -201?\nAnswer: -1102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.25 - -0.05. Let b = -0.2 + y. Let a = -0.63 - 0.37. Sort a, b, -0.2 in decreasing order.\nAnswer: b, -0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - 15*s**2 - 14*s + 2. Let j be g(-14). Let n(w) = w - 3. Let o be n(5). Solve -x = -4*h + j, x = h + o*h - 2 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 26 + 10. Let k = -13723\/6 + 54925\/24. Calculate the common denominator of (-51)\/7*(-6)\/l and k.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 12\/(-8) + 1 - 3278\/(-44)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58999 by -2.\nAnswer: 58999\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(-6)\/(-3) + 3. Let r(b) = -b**2 - 12*b - 9. Let k(c) = c + 1. Let p(f) = l*k(f) + r(f). Calculate p(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of v**3\/3 + 7*v**2\/2 - 16*v. Calculate p(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*h**2 + 3*h**2 - 4*h**2 - h**2 + h**2 - 6*h**2 + (0*h + 2*h - 3*h)*(5*h - 4*h + h) - h**2 + 3*h**2 - 8*h**2 as s*h**2 + j + z*h and give s.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 71, 0.1, 92, 0.2, 6 in decreasing order.\nAnswer: 92, 71, 6, 0.2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10314*1.7.\nAnswer: -17533.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 - -27. Let c = 44 - 38. Suppose h = c*d - 7. Solve 0 = j + d, 2*j + j + 9 = -4*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d - 30*n + 179 - 71, -3*d + 58 = -2*n + 7*n for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-23 + 795\/35)\/(1\/7). Let y(u) = -u - 16. Let d(a) = 2*a + 32. Calculate s*d(g) - 5*y(g).\nAnswer: g + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 689 + 691 - 2079 + 699 + 436*r.\nAnswer: 436*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -254 + 494. Let m be (16\/t)\/(2\/12). Let q = -11.23 - -6.23. What is the closest to 0 in q, m, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -5*l + c, 122*l - 121*l = -2*c + 10 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 divided by -27.\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-583)\/(-212))\/(0 + 1\/8). Find the third derivative of -w**4 + a*w**2 + 30*w**2 - 33*w**2 wrt w.\nAnswer: -24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**3 + 6*t**2 + 7*t - 3. Let n be g(5). Let u = -47 - n. Let x(m) = 458*m + 4127. Let q be x(-9). Solve 4 + u = q*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -15ba?\nAnswer: -15ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3*d = 2*d + 19, 2*r - 5 = -d. Suppose 8*u + r*u - 96 = 0. Let b(l) = 558 + 3*l + 561 - 1123 - 2*l. Calculate b(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.1, 3, 0.2, -0.131 in increasing order.\nAnswer: -5, -0.131, 0.1, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23454*f**2 + 277342341*f - 277342341*f to a*f**2 + u + o*f and give a.\nAnswer: -23454","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5019 = 296*m + 267*m + 2300 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(-3) + -3 - -7. Suppose -28 + 4 = -t*a. Let b be 3\/(-9) - (-134)\/a. What is the greatest common divisor of 33 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2075858 (base 9) to base 13.\nAnswer: 2cc894","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 2*q = 5, 121*l - 122*l + 20 = -5*q for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000010627 to six dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 3222*m**2 + 16102*m. What is x(-5)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, m: 5}. What is prob of picking 2 m?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**2 - 2188*z + 59711. Calculate r(28).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of m**6\/240 - 13*m**5\/40 - 65*m**4\/24 + 14*m**3 + 44*m**2 + 2*m - 47. Suppose t(l) = 0. Calculate l.\nAnswer: -4, 1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0049 * -7400\nAnswer: -36.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10197 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ucc when three letters picked without replacement from dcccaadccacuaujcua.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*m**2 + m**2 - 5*m**2)*(-2*m**2 + m - m - 14*m + 6*m**2 + 14*m + (0*m + 3*m - 5*m)*(-m - m + 3*m) + m**2 + 4 - 4).\nAnswer: 18*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 3*f + 2*f = -178, 3*f - 12 = 0. Let l = 92 + k. Put l, -5, 2 in descending order.\nAnswer: l, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*c + 277784 + 1046996. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104558.\nAnswer: 2, 23, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -9 + -79 + 26.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 51, 31, -27, -141, -329, -609?\n\"Answer: -3*k**3 - k**2 + 4*k + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 163925364709 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -3725.60443694\nAnswer: -3724.60443694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000690198 to six dps.\nAnswer: -0.00069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42, 137, 276, 459?\nAnswer: 686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/7, 4, 0, -18\/17?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.08*21.\nAnswer: 1.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1933*y**5 + y + 77.\nAnswer: 38660*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express ((5 - 5 - 2)*(2 - 6 - 4) - 1 + 4 - 1)*(-369*m - 83*m - 16*m) as t + l*m and give l.\nAnswer: -8424","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -77*s - 16*s - 8*s - 57*s in the form o + g*s and give g.\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36425 is divided by 69.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3037700 rounded to the nearest 100000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2852.2456 - 2851. Let z = f + -1.26. What is z rounded to three decimal places?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1701 and 134290746.\nAnswer: 134289045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 858 and 598.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 4*x = 8. Suppose -z + 18 = x*s - 4, 3*z + 9 = 3*s. Let o = 4 - s. Let k(q) = q. Let u(b) = -2*b**2 + 4*b - 2. Calculate o*u(c) + 4*k(c).\nAnswer: 2*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 672\/(-288)*(-22)\/(-539)*(0 + 1)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 11:52 PM?\nAnswer: 9:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2172 + -2172. Let p(z) = z**2 + 4*z + 2. Let q be p(-4). Sort s, q, 4.\nAnswer: s, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -29. Is m a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12055 - 542507\/45. Calculate the common denominator of l and 1\/150.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(1377) - (3*sqrt(1377) - sqrt(1377))) + -2 + 3 + 0)*-3.\nAnswer: -18 + 27*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d**3 + 3*d**2 - 3*d + 1. Let s = -21 - -22. Let t be i(s). Solve -t*p + 4*p - 3*b - 17 = 0, -18 = -4*p + 2*b for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 42. Let r = o - -41.1. Put 0.4, -3, -5, r in increasing order.\nAnswer: -5, -3, r, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90757?\nAnswer: 47, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26185934 to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -22*d + 992. Let c be m(45). Solve 5*h = -4*r + c*h - 14, -2 = -h for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/202)\/(2 + 1 + -5) + -43.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85 = -211*b + 206*b + 50 for b.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/2 and -71\/3942.\nAnswer: 3942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17.23 + 17.1. What is the third smallest value in 0, 1, -1, x, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(3\/6) - -17. Suppose 3*b - 13 = -r, 0*r = 5*r - 5*b + a. Suppose 4*l = -4*v + 48, -4*v = r - 5. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y**2. Let p be 1\/(-2) + (-100)\/(-8). Suppose -4*b + 76 = 3*z, -b - p = 3*z - 94. Let k(d) = -11*d**2 + z*d**2 - 21*d**2. Determine k(q(m)).\nAnswer: -16*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y - 1 + 1 + (0 + 0 + 2)*(-2*y + 2*y - 2*y) - 5255 + 11202*y + 2625 + 2630 + 9583*y - 1004*y.\nAnswer: 19779*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*n**2)*(-n**2 + 4*n**2 - 4*n**2) - 194 - 20*n**4 - 24*n**4 + 193.\nAnswer: -46*n**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-224)\/(-40) + 7 + 4\/10. Let t(h) = h**2 - 20*h + 3. Let c be t(i). Is 50\/(-36)*c + (-4)\/18 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 208541, 416958, 625375, 833792, 1042209?\n\"Answer: 208417*z + 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 6) to base 3.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x - x**2 + 2*x + 3379*x**4 - 3381*x**4 - x**3 to a*x + o*x**3 + w*x**4 + j + z*x**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*h**3*n + 30*h**2*n**2 - 10*h*n**2 - h + 3*n**2 wrt h?\nAnswer: -30*h*n + 60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1135 + 1151 + -73 + -1.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*k**2 - 13*k + 2*k**2 + k**2 + 98*k.\nAnswer: -15*k**2 + 85*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 340 is divided by 202?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (55*232\/870)\/(2\/3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -53 (base 8) to base 5\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -0.2402?\nAnswer: 0.7206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-4) + 3\/(-12). Let p = -5.655 - -35.655. Which is the third biggest value? (a) 0.4 (b) n (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (1 - 1 - (24 + -27))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 7433, 58686, 197793, 468680, 915273, 1581498, 2511281?\n\"Answer: 7321*k**3 + k**2 + 3*k + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*r**2 - 145*r**2 + 118*r**2 + 22*r**2.\nAnswer: 10*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n**2 - 44809 - 38*n + 44809 to the form w + s*n + q*n**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-48)\/(-108))\/(4\/18). What is the third derivative of 6*u**f - 37*u**3 + 37*u**3 - 9*u**6 wrt u?\nAnswer: -1080*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1025, 1030, 1037, 1046, 1057?\nAnswer: 1070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-6))\/(4\/(-60)). Suppose -n*j + 10 = -4*j. Is j a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/((-5)\/22))\/(-7 - 370\/(-50)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45, 54, 39, 0, -63, -150, -261?\nAnswer: -396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 45 - 33. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.4 + -5.4. Let y be (-4)\/(-6) + 20\/(-3). Let t be (y - 12\/(-4))\/(-2). What is the closest to t in -3, f, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 11) to base 14.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32.5 + -33. Let j = 0 + 1. Which is the closest to 1? (a) j (b) t (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n + 1. Let f(c) = 2*c**2 - 8*c - 2. Let b be f(4). Suppose -q = 3*i - 0*q + 16, q - 20 = 3*i. Let m(z) = z**2 + 3*z - 3. Give b*m(k) + i*u(k).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 17*m**2 + 49*m - 2092. Let d(z) = 43*z**2 + 147*z - 6278. Let y(u) = 6*d(u) - 17*n(u). What is the derivative of y(p) wrt p?\nAnswer: -62*p + 49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -645, -1245, -1787, -2241, -2577, -2765, -2775?\nAnswer: -2577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of -z**8\/56 - z**4\/6 - 3*z**2\/2 - 2*z. Let d(w) be the first derivative of k(w). Find the second derivative of d(n) wrt n.\nAnswer: -120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 15?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000064521276 rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2959 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in -0.26, -1\/5, -5, -55?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c + 4 = 4. Suppose -5*m - x - 2*x + 722 = c, 3 = -3*x. List the prime factors of m.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1133 is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 254857 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11839304.\nAnswer: 2, 1479913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 43670*f**3 - 1 + 2 - 7464*f**3.\nAnswer: -51134*f**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 101 + p**3 + p**2 + 132*p - 134*p + 0*p**3. Let n be c(0). Suppose 37 = 3*o - n. Is o a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203505767 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jrv when three letters picked without replacement from rjvjr.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 105*s**2 - 271*s - 3563. Determine n(102).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 9*a - 12*a = -3*a - q + 25, -3*q = -5*a - 4*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 125055.657 to the nearest 10.\nAnswer: 125060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 23 = -l, 4*l - 11 = -w - 0*l. Let r = w - 19. Differentiate 3*b - 7*b + r - 4*b - 2*b with respect to b.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 12:49 AM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3926?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -3*j, -2*m = -0*j + 2*j + 2. Let 4*c - 4 + 0*c + j + c**2 - 3*c = 0. Calculate c.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -56*1\/(-10).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.97691 millennia in months?\nAnswer: 347722.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 7:21 PM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from teereeteteeeetrteee. Give prob of sequence eett.\nAnswer: 55\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**3*i**2 + b**3 - 11*b**2*i + 44*b*i**2 + 2*b wrt b.\nAnswer: 6*b*i**2 + 6*b - 22*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6100, 6102, 6104?\nAnswer: 6106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-23))**(13\/2))**(2\/29))**(4\/11) assuming x is positive.\nAnswer: x**(-1196\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1341 is divided by -5*((-2016)\/30)\/12.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 AM and 4:13 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 151327, 302664, 454001, 605338, 756675, 908012?\nAnswer: 1059349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -13*s**3 - 4*s**2 - s. Let r(h) = -h**2 + h - 1. Let d(p) = -f(p) + 3*r(p). What is the remainder when d(2) is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -49, 9\/2, 5, 1, 317\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 5*z + 7. Let b(g) = -9*g - 14. Let m(s) = 4*b(s) + 7*q(s). Let r be m(-7). Suppose l + r*l = 13. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-229*r**4 - 55*r**4 - 11*r**4)*(2 + r - 2 + 0*r + 0*r + r + r + 2*r - 4*r + r - 3*r + 0*r + (-1 + 0 + 0)*(r + r - r) - 3*r + 0 + 0).\nAnswer: 1475*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 3*k + 576 = -213, -4*k = -z + 269. Calculate the remainder when z is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101994.132 rounded to the nearest 100?\nAnswer: -102000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d + 5. Suppose 0 = v - 6*v + 5*j, -5*v = 2*j. Determine z(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 13 = -4*l - 39, 4*c + 8 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of -c**4\/12 - 2*c**2. Let i be f(-2). Find the second derivative of -4*t + i*t + 0*t + t**5 - 3*t wrt t.\nAnswer: 20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence msy when three letters picked without replacement from {m: 1, s: 1, k: 1, x: 1, y: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 2.9. Let o be (-1603)\/(-458)*(0 - 1\/(-14)). Let h = 4 + -3.8. What is the nearest to o in 2\/11, h, p?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s**3 - 6 + 14*s + 21*s - 34*s. Let g(v) = -v**3 + 1. Determine b(t) + 4*g(t).\nAnswer: -2*t**3 + t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m - 3*m + 2*m + 3*m - m + 6*m + (-2*m - 3*m + 3*m)*(2 + 2 - 5).\nAnswer: 9*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of -b**4\/12 - 2*b**3\/3 - b**2 + 73*b. What is p(-16)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 261 and 493?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three eighths of a millimeter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14)\/(-42) + 110\/(-6). Let n = -12 - w. Calculate the highest common divisor of 12 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 0*a + 4484 = 5*d, d - 3*a = 899. Suppose 3*x = 13 + d. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1240832 (base 11) in base 16?\nAnswer: -20db0e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**42*m*m\/(m*m\/(m**(1\/26)\/m))*m*m assuming m is positive.\nAnswer: m**(1119\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 56\/28*((119255\/(-92))\/61)\/(10\/(-16))\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rsc when three letters picked without replacement from {b: 2, r: 5, d: 2, c: 2, s: 1, v: 8}.\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -0*w + r - 20, 18 = w + 2*r. Let a(b) be the second derivative of 8\/3*b**3 + 1\/3*b**4 - 1 + 8*b**2 + w*b. Solve a(t) = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -131434 (base 5) in base 11?\nAnswer: -3a38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**2)**6*(w\/(w\/(w\/(w\/w**10)))*w)\/((w\/(w**3*w*w))\/w))**(-2) assuming w is positive.\nAnswer: w**(-56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of u**4\/24 - 2*u**3\/3 - 2*u**2. Let w be j(7). Let h(a) = -1. Let f(m) = -m**3 - 1. Give w*f(o) - 3*h(o).\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.926 to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h + 497*h - 152*h + 1441*h)*(6*h**4 + 0*h**4 - 4*h**4).\nAnswer: 3576*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, l: 3, u: 1, m: 3, p: 1}. What is prob of sequence mpu?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 9, -b + 0*m + 105 = -m. Let j = -96 + b. Solve 4*q - 8 = j for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*k**4 + 864*k**3 - 3*k**2 - 2*k - 6752.\nAnswer: -360*k + 5184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 514 a factor of 5948522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -2*z**3\/27 - 32*z**2\/9 + 22*z\/3 - 6694. Find x such that q(x) = 0.\nAnswer: -33, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.6 + -3.4. Let c = -4860\/13 + 374. Sort c, 1, p in descending order.\nAnswer: 1, c, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -i + 5*i - 2*i + (3 + 0 - 1)*(i - 4*i + 5*i) + 829 - 4*i - 829 + 28 - 3*i - 28 as r*i + n and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -5\/2*l**3 - 70*l**2 - 825\/2*l + 1125 = 0. What is l?\nAnswer: -15, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*i + 5*i + 166 - 166)*(-3*i - 18*i - 41*i) to r*i + j*i**2 + l and give j.\nAnswer: -744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*t = 851 - 137 for t.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 3*x - 4*l, 4*x + 18 = 4*l - 14. Let q(h) = -2*h**2 + 7*h. Let r be q(4). Which is greater: x or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 49a + 426?\nAnswer: 904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-46)*(-272)\/544.\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4.1 in -5, -4, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrororr. What is prob of sequence rrr?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6650 is divided by 514?\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n**2 + 292*n - 10536. Give y(81).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -197*k - 5261 = -9989 for k.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -285 + -795. Round v to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29 and 1218?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -225 (b) -2\/7 (c) 202 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3872, -1, 3, -5 in descending order.\nAnswer: 3, -1, -5, -3872","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (7460\/(-15)*3)\/(-2)?\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*a - 48*a = 53. Let h = -53 + a. Solve h = 2*p + v + 1 - 2, p - 4*v = 14 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 87 - 87. Let d(z) = z**2 + 5. Let a be d(t). What is the fourth smallest value in a, -4\/7, -1, 2\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -5*k + 8. Let z be ((-140)\/15 + 10)\/(4\/222). Suppose -z*q + 8 = -33*q. What is the smallest common multiple of p(-6) and q?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p + 2. Let l(r) = 6*r + 42. Let s(i) = -i - 6. Let v(w) = -2*l(w) - 15*s(w). Give -7*o(k) + 2*v(k).\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(12\/11))\/h**(2\/7))\/((h\/h**(-3\/11))\/(h\/(h\/h**1))) assuming h is positive.\nAnswer: h**(-50\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b + 3*b - 2*b + (0*b - b + 2*b)*(6 - 19 - 6)*(-1 + 5 - 2) as l + x*b and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 30*c - 110. Solve 0 = c*d - 4*k - 1 + 10, 0 = 5*d + k + 15 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60 - 61) + 7 + 17?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0.02 (b) -0.4 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2 - 191198520*v.\nAnswer: 3*v*(v - 63732840)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 382 - 346 = 0. Let j(d) = -8*d + 14. What is the remainder when j(-7) is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) -4 (c) -9 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4176307 divided by 2.\nAnswer: -4176307\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -u**3\/3 + 2*u**2 - 4*u - 3587. Let o(k) = k**3 - 2*k**2 + 3*k - 2. Let w be o(2). Calculate a(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146 + 194 = k + h, -1700 = -5*k - 4*h. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14297900 rounded to the nearest 1000000?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53399 - 53399 - 5*z**2.\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3938 is divided by 3624.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -256414 at most as big as -256407?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -34333212 + 31?\nAnswer: -34333131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 40\/200 + (-27995)\/(-25). Calculate the highest common factor of o and 140.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 13 - 22 = 0. Suppose -50 = d*v + 5*u, 0*v + 2*u = 4*v + 16. Is (2001\/v - 0)\/((-9)\/18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 2*o = 15. Suppose -o*n = -2*k + 22, k + 4*n = 2*k - 21. Suppose 0 = -2*f - k*q + 95, -20 - 10 = -f + q. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y - 2. Let g be j(2). Are 0 and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - 1. Let m = 6.5 + x. Let h be ((-117)\/38 - -3)*72\/(-108). What is the third smallest value in m, h, -1\/4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1303781 to the nearest one hundred thousand.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 4:01 PM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + 4*z**2 - 6*z + 2. Let w be v(-5). Suppose 3*d = 6*d - 12. Solve -12 = 4*n + d*s + 20, w = n - 2*s for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33 - -27)*(-15)\/18.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2))**(2\/3)*w\/(w**(-1)\/w)*(w*w**(2\/15))\/w*w*w*(w\/w**2)**(1\/49)*w**(5\/2)*((w*w*w**(-9))\/w*w)\/w assuming w is positive.\nAnswer: w**(-843\/490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/286 and -64\/17941.\nAnswer: 466466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 92\/10*(23\/(-8) - 66\/(-176))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9285 is divided by 17.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 - 10. Let r = 27 - o. What is the units digit of r\/3 - (-2 - 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 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: b\"What is the ath term of -1336, -1337, -1338, -1339, -1340, -1341?\n\"Answer: -a - 1335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -4*m**4 - 28*m**3 + 148*m**2 + 604*m - 720 = 0.\nAnswer: -9, -4, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-26) - ((-84)\/13 + 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/(-8)*16\/3. Let k be c\/(-10)*5\/2. Suppose -g + 20 = n, k*n - 76 = g - 5*g. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/(sqrt(1728) + 3*sqrt(1728) + sqrt(1728)))\/((sqrt(108)\/(sqrt(24)\/sqrt(2)))\/sqrt(3)).\nAnswer: sqrt(2)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -10*o**2 - 6*o + 22. Let a be l(17). Round a to the nearest one hundred.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 2*b - 1 = 0, 3*l + 3*b = -5 + 11 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 + -13 + 1 - (9 + -1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 1:36 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3384*-3.\nAnswer: -10152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3077823, -3077821, -3077819, -3077817, -3077815?\n\"Answer: 2*g - 3077825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 3:55 PM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1078 and 49214?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 21*p - 203. Let n be j(10). Solve -13 - n = 4*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - 4*f**2 - 4*f + 4. Let p be y(-4). What is the second derivative of p - 44 - 34*z - 5*z**2 + 24 wrt z?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/5 of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of v**8\/336 + v**7\/105 + 11*v**4\/8 - 103*v**2. What is the second derivative of f(z) wrt z?\nAnswer: 20*z**3 + 24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1*(-2)\/(-2)*(-73 + 1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of -3\/5*d**2 + 2\/15*d**3 - 4\/5*d + 2 + 2\/25*d**5 + 3\/10*d**4. Factor j(s).\nAnswer: 2*(s - 1)*(s + 1)**2*(s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 + 9. Let x = -28 + y. What is the third derivative of 6*u**x - 14*u**2 + 3*u**4 + 19*u**2 wrt u?\nAnswer: 216*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-170)\/2125 + (-96)\/50. Let g(p) = -p - 6. Determine g(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - -2) + -8 - 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 35044 - -0.001421643952?\nAnswer: 35044.001421643952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.84 - 13.74. Let h = -1.1 + l. What is the second biggest value in 0.2, h, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38813927 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*o - 3*a - 5, 0 = 3*o + 3*a - 12. Solve -2*i - 5*n = 9 + 14, n + 15 = -o*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -212 (base 10) to base 15\nAnswer: -e2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of 69*z**4 + 1093*z**3\/3 + 1068. What is the third derivative of g(x) wrt x?\nAnswer: 1656","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) + sqrt(684)*-1 + -4 + -3 + 5 + -4)**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -3*q**2. Let u(a) = a + 194. Give c(u(s)).\nAnswer: -3*s**2 - 1164*s - 112908","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 - -1)*1\/6. Let k = 2.27 + -0.37. Let v = k - 2. Is v at most q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*h**2*q + 6*h**2 + 87*h*q - 10*h wrt h.\nAnswer: 16*q + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5\/2 + -2)*(8 + -4). Does 3 divide (158 - (-2 - -6))\/s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1270591 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (7 + -1 + 0)) + -9\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.945 + 3.940286. What is m rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1126 rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 173b6 (base 12) in base 14?\nAnswer: c25c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57378245.\nAnswer: 5, 1237, 9277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/6*3*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7574, -7525, -7454, -7367, -7270?\nAnswer: -7169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -77813, 4, 0.2.\nAnswer: -77813, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27.4 - -108. Let w = -92 + y. What is w rounded to zero dps?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -d8 (base 14) to base 9\nAnswer: -231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2114\/15 less than -141?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3342565 (base 7) to base 14.\nAnswer: -aabdc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 32566 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/1544960 and 59\/482800.\nAnswer: 7724800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a - 2. Let i(f) = f - 1. Let m be ((-12)\/14)\/((-6)\/42). Give m*i(u) - 2*g(u).\nAnswer: 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 5*h. Suppose -2*y - 2*i + 16 = 0, 0*y - 20 = -2*y - 3*i. Let c(u) = u**2 - y*u**2 + 4*u**2. Give p(c(k)).\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/232 and (-19)\/22 + (2 - (1 + 2))\/2?\nAnswer: 2552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -4*g**3 + 14*g**2 - 14. Let s(j) be the second derivative of -j**5\/20 + j**4\/4 - 3*j**2\/2 - 11*j. What is 28*s(k) - 6*x(k)?\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1853?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -14. Suppose 5*o + c - f = 0, 3*o - 2 = -2*c - 3. Determine a so that 2\/3*a**2 - 2\/3*a**4 + 0 + 0*a + 0*a**o = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23258964 divided by -4\nAnswer: -5814741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*a + 207*a - 130*a.\nAnswer: -25*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mhhhhzhmmhzmm. Give prob of sequence zhmh.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (1*sqrt(153)*5 - ((5 + (sqrt(153)*-2 - sqrt(153)) - sqrt(153)) + sqrt(153))))**2.\nAnswer: -48*sqrt(17) + 9793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-26)\/(-6) + ((-7)\/1 - -2). What is the nearest to 2 in -0.4, -0.5, -1, u?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 24 = -4*r, -5*i + 0*i = 5*r + 10. Solve i*c = -2*c - 4, 0 = -4*v - 2*c + 18 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1520 divided by -304\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-2)*70\/420.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-80)\/(-36))\/((-29)\/(6786\/(-52))).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Is 1334 smaller than 34280\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qyx when three letters picked without replacement from xyjqq?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2123662727.\nAnswer: 6469, 328283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 458 = 4*g, 373 = 6*y - 2*y + g. Suppose 0 = -11*i + 127 - y. Solve -5*f - o + 2 - 10 = 0, -9 = i*f + 2*o for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 38*m. Let l(o) = 782*o**2 - 276*o. Let w(v) = -23*v**2 + 8*v. Let h(u) = 4*l(u) + 138*w(u). Determine q(h(p)).\nAnswer: -1748*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 26141 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 - l + 12. Let p be (-2 - (-20)\/8)*0. Let j be s(p). Suppose -3*r - 3*d + 365 = -7*d, -3*d = -j. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 35\/7 - (7\/(-4))\/((-39)\/312). Let a(h) = -11*h - 4. Give a(q).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 138 and -31?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 7, -22, 93, -2, -5 in decreasing order.\nAnswer: 93, 7, 4, -2, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**2 + 0*a**2 + 0*a**2)*(-a + 0*a + 0*a) + 2*a**3 + 0*a**3 - a**3.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 4*m - 20, -5*s + 8*s - 5*m = 15. Solve 12*l = s*y + 17*l - 30, 0 = 2*y - 2*l for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -7, -1, 9, 23, 41?\n\"Answer: 2*y**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-1) - (-2 + 2). Suppose -q + n*q = 6. Is 5 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**2 + 4*w**2 - w**2)*(-257 - 47 - 273).\nAnswer: -577*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 706?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 246184, 492254, 738324, 984394, 1230464?\n\"Answer: 246070*c + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, -5\/38, -0.16, -331?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (0 + -14 + (36 - 32)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2 from 2535950.\nAnswer: 2535952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 120 = 2*h. Let x = h + 40. What is the units digit of 1\/4 + (-15)\/x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a kilometer in meters?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1246 and 3262?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of k**2 + 3*k - 3. Suppose 6*z - 2*z = 20. What is the tens digit of x(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a milligram in micrograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20373 and 6069?\nAnswer: 41214579","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13895668?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 15*a**2 + 18*a - 36. Let k be (-64)\/(-10)*(65\/26 - 0). Give q(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - 3*p - 8. Suppose 4*n = -0*n - 16. Let f be (84\/(-49))\/(n\/14). Calculate the remainder when 18 is divided by a(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -603020.3 to the nearest one hundred.\nAnswer: -603000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 17*t**2 - 5 + t - t - 9*t. Let w(v) = v - 5. Let y be w(3). Let m(i) = -4*i**2 + 2*i + 1. What is y*k(b) - 9*m(b)?\nAnswer: 2*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 4*j**2 - 2*j - 6. Suppose -5*o = 20 - 0. Let b be g(o). Let y(s) = -4 + 2*s**b + 3 + 4*s - 5*s + s**3. Calculate y(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 211 + -3?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -53.\nAnswer: -5\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 10.86*-0.3\nAnswer: -3.258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sb when two letters picked without replacement from {s: 2, m: 2, b: 4, i: 3}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8110, 2426, -3258?\nAnswer: -8942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (40\/(-60))\/(28\/18). Suppose -6*f = -20*f - 70. What is the biggest value in -2, k, -25, f?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(1\/2))\/(a**(6\/7)\/a)*(a*a**(-9))\/((a**(2\/9)\/a)\/a))**3)**(-17) assuming a is positive.\nAnswer: a**(9809\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -1, 4, 1037.731 in ascending order.\nAnswer: -3, -1, 3, 4, 1037.731","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11436174?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2775, 0, -5, 2, -14, -39.\nAnswer: -2775, -39, -14, -5, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -20 - 22187?\nAnswer: -22207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*q = -8*q + 20 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -4. Let o(f) = 18*f**3 + 2*f**2 - 3*f + 2. Let p be o(v). Let d = -16 + p. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 + 0.40726088.\nAnswer: 8.40726088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1174\/237 (b) -0.11 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o - 2 + 2)*(41*o - 23*o - 4*o + (-4*o + 5*o + 0*o)*(4 - 1 - 1) - 1 + 1 + o + 0*o - 4*o + 3*o + 2*o + 1 - 1).\nAnswer: -54*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -50.382*-2\nAnswer: 100.764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + i + 64. Let u be g(0). Let k(d) = -d**2 + 106*d - 1063. Let l be k(94). Which is bigger: u or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - -1. Let m(k) = k**2 - 2*k + 5. Let v be m(5). Solve 0 = 4*c + 12, -j*c - c = -2*x + v for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92469 is divided by 8405.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 24699 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 3*k - 7. Let n be j(-5). Suppose h - 23 = -2*b + 6, 85 = 5*h - 2*b. Let d = n + h. Let v(w) = -w**3 - 3*w**2 + 3*w + 3. What is v(d)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*q**3 - 4002*q + 2*q**3 + 4002*q.\nAnswer: -10*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135 is divided by 72.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20.3 + -20. What is the biggest value in a, 5, 2\/19?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (4 - (-1 + 2 - -3))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -574463, -1148921, -1723379?\nAnswer: -2297837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 17*4 + (-1)\/(-1). Suppose 0 = -5*s + w + f, 2*w = 2*s - 0*w - 34. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -357 - 105*m**2 + 357 + (-m - 4 + 4)*(-2*m - 2 + 2) + 3*m + 2*m**2 - 3*m.\nAnswer: -101*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 41952 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g. Let y(p) = -2*p + 1. What is -2*b(u) - 2*y(u)?\nAnswer: 6*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - -109862853979.\nAnswer: 109862853978.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10036072?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 5) in base 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -8704.042 to the nearest 100.\nAnswer: -8700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 4, 5*c - 305 = 2*s + s. Let f = -76 - s. Calculate the remainder when f is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 377490907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4550 + 4?\nAnswer: -4544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 13. Let f be 18\/(-72)*(j - 0). Is 2\/213 less than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/16*-10)\/(2\/8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0803281078 to four decimal places.\nAnswer: -0.0803","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + i**2 - i + 649. Let a be c(0). Suppose -5*u = f - 2442, -5*u = -4*f - a - 1783. List the prime factors of u.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -61, -68, -73, -70, -53, -16?\n\"Answer: n**3 - 5*n**2 + n - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9*((-1)\/9)\/(98\/5880)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -2*l**2\/13 - 120*l\/13 - 648\/13 = 0.\nAnswer: -54, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 0.3, -116 in ascending order.\nAnswer: -116, -4, -1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 7) in base 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.298 + 0.498. Sort 0.23, 4\/5, -0.1, p in increasing order.\nAnswer: -0.1, p, 0.23, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/55 + (-18963)\/11825*5?\nAnswer: -36\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 17*f**2 + 19*f - 20. Let w be q(18). Let l be 1 - (-17)\/(-2)*w. What is the highest common divisor of 126 and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35846778?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*k**3 - 5*k**3 - k - 2*k**3 - k**2 - 19*k - 8*k**3 + 19*k + (0 + 0 + 2*k**2)*(3*k - k + 0*k) as q + g*k**3 + h*k + z*k**2 and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -46*c. Let u(i) be the first derivative of -i**3\/3 - 3*i**2\/2 + 3*i - 97. Let f(l) = l**2 + 5*l - 5. Let n(d) = 3*f(d) + 5*u(d). Give b(n(k)).\nAnswer: 92*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/256609 in 1\/3, -5\/4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1\/6, 0, 2\/307, -53 in decreasing order.\nAnswer: 2\/307, 0, -1\/6, -5, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 6*j - 9*j - 18*j in the form v + t*j and give t.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11528889 to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of 11*g**7\/210 + g**3\/6 - 9*g**2\/2 - 6. Let l(i) be the second derivative of t(i). Differentiate l(a) with respect to a.\nAnswer: 44*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 3 + (-20 + 5 - -12 - 1) + -36?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 208907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i + 18 - 4 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a decade in months?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5603*y**3 - 135*y**2 + 68*y**2 + 67*y**2 - 5601*y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j**2 - 2*j - 2. Let k(q) = 3*q**2 - 2*q - 1. Let d(h) = -h - 5. Let w be d(-10). Let c(p) = w*n(p) - 4*k(p). Is c(5) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**3 - r**3 + 2*r**3)*(-2*r**2 + 3*r - 3*r) + 4*r**2 - 4*r**2 - r**5 + (-3*r**2 + 3*r**2 + r**2)*(r**3 - 6*r**3 + 3*r**3) + r**5 + 3*r**5 + 7*r**5.\nAnswer: 4*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 16, h: 2}. What is prob of picking 2 h?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5910000 rounded to the nearest 100000?\nAnswer: 5900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -5*y**3 + y**2 + 4*y + 3. Let m be (0 + -1)*-2*-1. Is 13 a factor of s(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 68\/(-60) - (-1)\/(-5). Sort a, 0, 0.2 in decreasing order.\nAnswer: 0.2, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 43218 by -147.\nAnswer: -294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-56)\/(-21)*9*2\/(-8). What is the units digit of (-80)\/60 + (-1250)\/u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 - 457.\nAnswer: -456.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1671 - -3460. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5834211919 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -154*h + 180. Determine q(1).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 4*n**3 - 30*n**2 + 22*n + 89. Is y(23) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4 and -168256?\nAnswer: 168260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4*(-2 + sqrt(605))*4)**2*2.\nAnswer: -135168*sqrt(5) + 1870848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3550 and 10?\nAnswer: 3550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1049765, 1049770, 1049779, 1049792, 1049809, 1049830, 1049855?\n\"Answer: 2*r**2 - r + 1049764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 24879 + 28?\nAnswer: 24907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 44*q = -49*q, -3*q = -5*f + 22. Solve -2*g - 8 = 0, -6*w - 5 = -f*w + g for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) + (sqrt(153) - -3*sqrt(153)*-5) + sqrt(153))*2)\/(sqrt(36)\/(sqrt(20)\/sqrt(5))*-2) + 0.\nAnswer: 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**5\/7 - 200*l**4 + 198278*l**3\/7 - 1876780*l**2\/7 + 657600*l = 0 for l.\nAnswer: -822, 0, 5, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 69*c**2 + 18*c**2 + 104*c**2 - 2*c**2 + 2*c**2 - 2*c**2 + (0 + 0 - c**2)*(5 - 4 + 1).\nAnswer: 187*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + -26. Let i be 2\/10 + (-28)\/u. Factor -2 + 7 + 3*p**4 - 8 + 6*p - 6*p**i.\nAnswer: 3*(p - 1)**3*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 1379 = -12*p. What are the prime factors of p?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 101\/596 - -10401\/45892. Let v = -3\/14 + i. Let t = 3 - 2.6. Which is the nearest to 1? (a) t (b) 4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/4*(-3 + -1). Let f = -6 + 10. Sort p, f, 0.\nAnswer: p, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -783*r - 109708. Give v(-140).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 2*i - 7 = 1, 31*i + 15 = 34*i for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 2*q - 5*l - 2, -2*q - 1 = 5*l. Let p = -3 + q. Find the third derivative of -a**2 + 3*a**4 - 2*a**p - 3*a**4 wrt a.\nAnswer: -48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21022012 (base 3) to base 5\nAnswer: 132244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 304, 303, 302, 301, 300, 299?\n\"Answer: -x + 305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.12009230339 to five dps.\nAnswer: 0.12009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -j + 7485, -j + 1497 = u - 4*j. What are the prime factors of u?\nAnswer: 3, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 976083 to the power of 1\/2, to the nearest integer?\nAnswer: 988","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 5*o - 9 = 2*u, 3*u - o = 59. What is the second derivative of 37*i**2 - 7*i**2 - i - 1 + 46*i**2 - u*i + 69*i**2 wrt i?\nAnswer: 290","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-32)*(-28)\/21?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - -0.0101484.\nAnswer: -3.9898516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of 23*c**8\/14 - 3*c**6\/10 - 43*c**4\/6 + c**3\/6 + 2*c - 761. What is the third derivative of g(v) wrt v?\nAnswer: 11040*v**3 - 216*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1407 - 269?\nAnswer: -1674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 180933 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -5 (c) 1\/4 (d) -2 (e) 2\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -41 + 1. What is the highest common factor of d and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 5*m**2 - 4*m. Let r(z) = z**3 + 9*z**2 - z - 12. Let v be r(-9). Is u(v) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 207*p + 106*p - 77*p = 111628. What is the greatest common factor of p and 264?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 10452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 AM and 4:51 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6*(-2)\/12)\/((-22)\/4).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 93452, 93468, 93496, 93542, 93612?\nAnswer: 93712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -m, -b = -m + 3*m + 25. Let o = 73 + b. What are the prime factors of o?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/24 of a century?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*z - 13*z = 40. Suppose -z*q - 1658 - 4972 = 0. Let l = -380 - q. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 19 + 476 = 0. Suppose -22*y - u = -25*y. List the prime factors of y.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 713798?\nAnswer: 2, 173, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5498866 to the power of 1\/3, to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -9240 divided by 220\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 4*d + 10. Let y = d + 3. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/30 and -25\/21?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*o - 5*o + 7*o + (-3 + 3 - o)*(-4 + 4 + 1) - 4*o + 0*o + 5*o + (0 - 1 - 1)*(-4910 + 4910 - 33*o) in the form c + k*o and give k.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*r = 101*r + 2. Suppose -6*i = 2*i - 80. What is the smallest common multiple of i and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 12462981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 208 = 32*w, 794*w + 5*m + 104 = 808*w for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19244*r + 174658 + 651907 + 469796 - 314917 = 0 for r.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 + 4*q - 4. Let f be z(4). Let l = f - -5. Is 3 - l\/(2\/(-46)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1245483 divided by -7641\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3305 - -89839?\nAnswer: 86534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*2*25\/40?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/54*(-3)\/(-2)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37073?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-3)*(-56)\/(-70)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -674157 and 509.4.\nAnswer: -673647.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-33)\/77 - 18\/7. Let m be 63 + n\/3 - (12 + -13). Calculate the highest common factor of m and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 6:13 AM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 21\/(-6)*(0 + 4). Let z be (-4)\/y + 188\/28. Let b(o) = 3 + o**2 - 3 - 4*o + 2 + z*o. Give b(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 36*o**2 + 4*o - 136 wrt o.\nAnswer: 72*o + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3024252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 4503828890 to the nearest one hundred thousand.\nAnswer: 4503800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2012 - 424 + 9681 = 191*f - 4788 for f.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 384 = 2705*k - 2681*k for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 316 and 4.\nAnswer: 1264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 9:21 PM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 170791.4 times 5\nAnswer: 853957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18205 + -18204.9898676. What is r rounded to five dps?\nAnswer: 0.01013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -2*f - 0*f - v, -5*f - 30 = -4*v. Suppose -1 = -r + 5. Let z = -11 + r. What is the nearest to 1 in -0.5, f, z?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -23*p**3 - 2*p**2 + 30*p + 2. Let x(s) = 47*s**3 + 5*s**2 - 61*s - 5. Let o(c) = 5*f(c) + 2*x(c). What is the second derivative of o(z) wrt z?\nAnswer: -126*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 4:09 AM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111147 divided by -8?\nAnswer: -1111147\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53486.91um to centimeters.\nAnswer: 5.348691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/1188 and 10\/99?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165*a + 664 = -169*a. Put -0.3, 5, a, -4 in decreasing order.\nAnswer: 5, -0.3, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*c*u**3 - c*u - 621*c + 78*u**4 wrt u.\nAnswer: 6*c*u**2 - c + 312*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 10:42 PM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 - 39*l. Let q be y(0). Suppose q = -6*k + 21763 + 3419. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 130 = -3*n, -9*z - 176 = -4*n - 13*z. Calculate the remainder when 226 is divided by n.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 859.0358 millilitres in litres?\nAnswer: 0.8590358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3557086, 3557080, 3557074?\n\"Answer: -6*a + 3557092","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6895 is divided by 1745?\nAnswer: 1660","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d**2 + 6*d - 12. Let c be h(14). Is 20 a factor of (c\/50)\/(2\/(-25))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 30\/(-105) + (-66)\/(-182). Suppose 0 = -5*l + 15, 6*l - 16 = 4*w + 2*l. Is c >= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 56*a**2 + 131*a**2 - 17 + 10 + 194*a**2.\nAnswer: 269*a**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 96373687?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -99 - -101. Let p = 0.7 - 0.4. Let s be ((-1)\/3)\/((-2)\/(-4)). What is the third biggest value in s, m, p?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - -1437.76095.\nAnswer: 1437.86095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 4. Let d be (-3)\/(4\/24*9). Let n be d\/4 + 135\/18. Do n and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 7:03 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 756382 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.033 * -0.7\nAnswer: -0.0231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 778 and 2692658.\nAnswer: 778","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 49\/1803?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 50234 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 394?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 - 21*r + 44. Let m be g(-23). What is the fourth biggest value in -1\/3, m, 1, 44?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40816884347 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 5*u + 157 - 37, -2*u - 73 = -3*n. Suppose 3 = 3*s, 0 = -5*r - s - 2189 + 55. Let m = r + 602. What is the greatest common factor of m and n?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r + 2. Let k be o(0). Suppose -4*b - 2*c = -k, 4*b + 5*c - 2*c + 1 = 0. Put b, 3, -4 in ascending order.\nAnswer: -4, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 8 - (-1 + 316). Let o = w - -343. What is the greatest common divisor of o and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -4404*b**3 + 10*b**2 + 5*b + 5. Let z(f) = 39633*f**3 - 88*f**2 - 44*f - 44. Calculate -44*p(q) - 5*z(q).\nAnswer: -4389*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 50, -1, -0.1, -0.5, -0.29?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + 64*d + 185. Calculate i(-61).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.21618 (b) 0 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 0, 11, 32, 63, 104?\n\"Answer: 5*v**2 - 4*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 38\/3 - 4\/6. Suppose 3*h - c - g = 0, -h = 3*c + c + 9. Let a(d) = -h - d - 4*d - 3 + 4 - 5*d**2 + d**3. Give a(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(576))\/(sqrt(22)\/(sqrt(33)\/sqrt(3))).\nAnswer: -24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6981211 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 95 - 60. Calculate the remainder when 139 is divided by j.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 16825*m - 807601. Determine r(48).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10010 (base 2) in base 14?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -2*a - 4. Sort 0.2, a, 5.\nAnswer: 0.2, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -6) + -4 - -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 4*d**2 + d - 3. Let u(t) = -129*t**2 - 5*t + 6. Calculate -u(n) - 3*y(n).\nAnswer: 117*n**2 + 2*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -504.12+0.1255\nAnswer: -503.9945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -3*h**2 + h**3 + 5 + h**2 - h - 2*h**2. Let b be a(4). Solve 0*m + b = m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-52662)\/5280 + (-23)\/7728*21 + 10\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + -24774728289048.\nAnswer: -24774728289053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53578.\nAnswer: 2, 7, 43, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -173 (b) -1 (c) -27\/10 (d) 7\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11952827*m**3 - m**2 - 59*m + 5315?\nAnswer: -71716962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.2 and -2.65.\nAnswer: -3.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/697 and 5\/328.\nAnswer: 5576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -200325 + 5?\nAnswer: -200320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/5, 0.07, -1\/3, 1\/4?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 - (-1 - (2 + 3)). Solve 0 = -5*l + 15, x*a + a + l = -5 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(4\/11)*k**4)\/(k\/(k\/((k*k**9)\/k))*k**(-4\/5)) assuming k is positive.\nAnswer: k**(-196\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l**3 + 3*l**2 - 5*l - 91. Let t(v) = v**3 + v**2 - 2*v - 45. Let c(a) = 2*n(a) - 5*t(a). What is the remainder when c(0) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/2)*k*k**12*k*k)**25 assuming k is positive.\nAnswer: k**(725\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/1152 and 20\/278709?\nAnswer: 107024256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 10635484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 277*s - 487*s + 255*s + 720 for s.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 5*u + 2, -6*u + 5*c = -u + 30. Let g(l) = 2*l**2 + 2*l + 2. What is g(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 7 + 17 = 0. Solve p + 2*p + m = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -2*m + 7*m - 12, 0 = -2*g + 4*m - 20 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -98, -605, -1956, -4571, -8870, -15273?\nAnswer: -24200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, 42, 1, -2, 1\/1032 in descending order.\nAnswer: 42, 5, 1, 1\/1032, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 153 = -42. Calculate the greatest common factor of 195 and q.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2718*f - 147 + 1227 = -2673*f for f.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**15*(y**(1\/3)\/y)\/y*y)\/((y**(-16)*y)\/y**(-1\/10)) assuming y is positive.\nAnswer: y**(877\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19319 is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - -b16602a?\nAnswer: b166030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s - 1. Let f be c(-1). Suppose -14*p + 9*p + 2*b + 14 = f, 3*p = -3*b. Suppose p*w = 3*o - 4919, -2*o - 6*w = -4*w - 3276. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 28 - 3 = 0. Let v be 8\/2 + m\/(-5). Suppose 6 + 0 = v*h. Is h equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6283353 divided by 3?\nAnswer: 2094451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) - (sqrt(187) - (sqrt(187) - -1*sqrt(187))))\/sqrt(11) + -2 + (sqrt(272) + -2)*-2)**2.\nAnswer: -24*sqrt(17) + 616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117220958.\nAnswer: 2, 29, 37, 54623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/(sqrt(8) - -3*(sqrt(8) - (sqrt(8) - sqrt(8)*1))).\nAnswer: sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (687066 - 3) + (2 - -2). Let d = u + -457065. Suppose 2*r + 2*g = -91996, r + 4*r - g + d = 0. What is r rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -61 + 66. Suppose -s + 2*b = s - 120, 5*s - 260 = -l*b. What are the prime factors of s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/72*12*8\/12*30?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.49 + 2.69. Which is the third smallest value? (a) -24 (b) m (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.1 and -39.4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -117*t. Let b(g) = 19*g**2. Give b(p(j)).\nAnswer: 260091*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172043 is divided by 105.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of -u**3\/6 - 4*u**2 + u. Let k be l(-5). Let f = -7732 - -7737. Put f, -5, 3, k in decreasing order.\nAnswer: f, 3, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 55.49475 weeks?\nAnswer: 33563224800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -5*d - 3*g + 104, 0 = -d + 4*g + 5. Solve 2*r - 17 = 5*v, 238*v = -2*r + 239*v + d for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 16565*c = 16570*c - 32, 0 = -4*u - c - 20 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 191.59745 plus -0.4?\nAnswer: 191.19745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.18 + 0.2. Let h = -2.02 + r. Sort 3, -1\/3, h.\nAnswer: h, -1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 124208.2 days to minutes.\nAnswer: 178859808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 48\/7?\nAnswer: 48\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + d = -z - 200, -z + 100 = -3*d. Suppose 2*h - z = -3*h. Let r = h - 14. What is the least common multiple of 3 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -801, 1, 4 in ascending order.\nAnswer: -801, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.18 + -0.22. Let h = i - 0.52. Round h to one decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a\/a**(2\/31)))\/a)**(-13)*(a**12)**(-23\/3))**(-5) assuming a is positive.\nAnswer: a**(12375\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 23*r - 11. Let a be 1\/(-3) - (-25)\/3. Suppose -37*s + 40*s + 9 = -4*x, 5*s = -3*x - 26. Let y(j) = -8*j + 4. Calculate a*y(b) + x*v(b).\nAnswer: 5*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168*c + 2051 - 371 = 0 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -397*u**5 + 116*u wrt u.\nAnswer: -7940*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*w**3 + 7*w**3 - 208*w**4 - w**2 + 102*w**4 - 14*w**3 + 110*w**4 to the form l*w**4 + r*w**3 + z*w**2 + d*w + f and give r.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 + 67*v**2 + 66*v - 1226. What is the units digit of w(63)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 33 = -2*q + 15, 5*l = -15. Suppose -q*f = -18*f - 111. Calculate the remainder when 110 is divided by f.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/(-6) + 213\/6. List the prime factors of 13*w - (47 + -40).\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 14*b**2. Let y(s) = -s**3 - 9*s**2 + 2*s + 9. Let p be y(-9). Let u(n) = -12*n + 9. Let d(z) = -3*z + 2. Let j(h) = p*d(h) + 2*u(h). Give j(o(q)).\nAnswer: 42*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24659*s + 11131*s + 58 + s**2 - 58.\nAnswer: s**2 + 35790*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 3:32 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-11)*2 - (-245)\/77. Suppose 3*w - 14 = -2*x, -3*w + 0*x + 16 = 4*x. Put w, y, -3 in increasing order.\nAnswer: -3, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**3 - 18*j**2 + 47*j + 19. Calculate b(-11).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(88) - (sqrt(88) + (sqrt(88) - -2*sqrt(88)*6))))\/(sqrt(200)*2 + sqrt(8) + (sqrt(96) - sqrt(96)*1)\/sqrt(12)).\nAnswer: 26*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 83 + -79. Which is the smallest value? (a) k (b) -2\/5 (c) -6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of t**5\/20 - 7*t**4\/12 + 8*t**3\/3 - 5*t**2 - 15*t. Let v be s(5). Is 21 <= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30132310 (base 4) to base 6\nAnswer: 1032404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30.434 + 4.\nAnswer: -26.434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -1089*m**7\/7 + m**4\/4 + m**3\/3 - 23*m**2\/2 + 2982. Find the third derivative of w(k) wrt k.\nAnswer: -130680*k**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19058684*b**2 + 35185993*b wrt b?\nAnswer: 38117368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 5*o - 25. Let q(x) = x + 1. Let v(t) = -t**2 - 5*t - 5. Give o*q(c) + v(c).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37514 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of 1\/6*w**3 + 0*w**4 + w**2 + 1\/20*w**5 + 0*w + 0. What is the first derivative of n(m) wrt m?\nAnswer: 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -51, -86, -127, -174, -227?\nAnswer: -286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from knniiin.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -478 = -212*t - 1326 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6896346302 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 8, -1, -26, -73, -148, -257?\n\"Answer: -i**3 - 2*i**2 + 4*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 0.5 (b) -0.063677 (c) -2.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 9:30 PM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 62410 and 12482.\nAnswer: 62410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of -g**4\/66 - g**3\/11 - 2*g**2\/11 - 12*g. Suppose z(v) = 0. Calculate v.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(((q\/(q\/(q\/(q\/q**(-5\/2)))))\/q)\/q)\/q)\/(q\/(q*q**(3\/7)))*q**(2\/9)*q*q*q**7*q assuming q is positive.\nAnswer: q**(775\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4140 by 3.\nAnswer: 1380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 32175057 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q - 7. Let x be g(5). Let l be 28\/12 - x\/(-6). Suppose 8 = -l*j + 28. Calculate the remainder when 19 is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 20 - 8 - 15 - 8 - 47*t**2 - 49*t. Let y(z) = 23*z**2 + 25*z + 6. Let w(g) = 6*v(g) + 11*y(g). Find the second derivative of w(k) wrt k.\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 32 = 663*r - 659*r, 0 = -3*r - 4*m + 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 27231018.\nAnswer: 272310180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5*(-1 - 9\/(-15)). Suppose -b = 4*k - 18. Let h = -0.5 + 2.5. Put k, -2\/3, h in increasing order.\nAnswer: -2\/3, h, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-1))\/(34\/(-17))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0105221 rounded to three decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14\/21*(36\/16)\/1. Which is the biggest value? (a) 20 (b) 0.06 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p - 2. Let x(b) be the second derivative of 1\/6*b**3 + 0 - b**2 - 10*b. Let q(a) = 3*x(a) - 2*z(a). Find the first derivative of q(i) wrt i.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-3 + sqrt(396) + sqrt(396) + -2 + (0 + sqrt(396))*-4)**2 + -1)*5*2.\nAnswer: 1200*sqrt(11) + 16110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7308)\/(-315) - (-23)\/(-115).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -6*m - 141. Let b be y(-25). Suppose 4*l + b = 5*x + 24, 0 = x - 5. What is the least common multiple of 23 and l?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4588 and 3708?\nAnswer: 4253076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.33985l in millilitres?\nAnswer: 14339.85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 191 + -30. Calculate the remainder when t is divided by 47.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(9\/(81\/(-12))). Suppose r*l - v = -l + 15, -3 = -2*l - v. Solve p = 4, l*p - 2 = 3*q + 13 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 394176 = -106*a + 392904 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 PM and 2:10 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by -1525892.\nAnswer: 9\/1525892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.04 - -0.11. Let p = -0.05 + n. Let q = -3.3 - -3.2. Which is the nearest to q? (a) p (b) -5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*d + 50 = -31*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -111010011100011?\nAnswer: 111010011011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - 4*u + 2. Suppose 5*n - z - 28 = z, -5*n = -5*z - 40. Let x be s(n). Sort -5, x, -1 in ascending order.\nAnswer: -5, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -283 - 1139?\nAnswer: -1422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -53 + 12*j**3 - 8*j**3 - 9 wrt j?\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001380896 rounded to seven decimal places?\nAnswer: 0.0001381","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 + 26*z + 1245. Give a(50).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 40 = -9*i + 4*i, 0 = 4*i + 2*a - 38. Suppose 2*x = 1 + i. Suppose -x*j - 5*q + 143 = 0, 1 = 2*q + 3. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*y = 27 + 65. Let n(o) be the second derivative of 0 - 1\/10*o**5 - o**2 - 2*o + 0*o**3 + 0*o**y. What is the derivative of n(j) wrt j?\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 316249612051 less than 2?\nAnswer: -316249612049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + -9. Let i be 144\/40 - 4\/w. Suppose 8*n = i*n + 20. Solve -3*b = -o - n, b - o - o = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35297 divided by -8.\nAnswer: -35297\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**4 - 1144*j**3 + 316726*j**2 + 5981976*j + 27342441 = 0. Calculate j.\nAnswer: -9, 581","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, q: 5, v: 1, y: 1, m: 1}. What is prob of picking 1 m, 1 q, and 1 v?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1703\/5 at most -2192?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 10:56 PM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000121328 rounded to seven decimal places?\nAnswer: -0.0000121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 4*j**2 - 300*j - 1270. What is n(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 109, 29, -47, -119?\n\"Answer: 2*r**2 - 86*r + 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1174, 2458, 3742, 5026, 6310?\nAnswer: 7594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 2*u + 4 = 2*f, -4*u = f - 19. Solve -f*z = -16 + 7 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 67 + -52. Find the first derivative of b*h**4 + 4 - 22*h + 0 + 22*h wrt h.\nAnswer: 60*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18*1\/3*(-8343)\/(-618).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 475.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, j: 14}. Give prob of sequence uuju.\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 5 = t - l, -23 = -5*t + l. Calculate the lowest common multiple of 2 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 22613, 45254, 67881, 90488, 113069, 135618?\n\"Answer: -n**3 - n**2 + 22651*n - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1493? (a) 5 (b) -5\/2 (c) 204\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 52, 25, -12, 0 in descending order.\nAnswer: 52, 25, 0, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 + 23. Suppose 2*b - 36 = l*i - 2*b, 0 = 5*i + 2*b + 10. What is the fourth biggest value in -3, 0.3, i, 0.8?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1 (b) -0.3 (c) -2\/5 (d) -5\/4 (e) 76\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, j: 1, g: 4, h: 3, a: 2}. What is prob of sequence gjh?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvhdhvdhxdv. What is prob of picking 1 x and 1 d?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8327185 = 4*m - z - 1566781, -5*m = -2*z + 8450508. Round m to the nearest ten thousand.\nAnswer: -1690000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 25*u**2. Let s(k) = 8*k. Give s(v(h)).\nAnswer: 200*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -146272777.5 take away 96?\nAnswer: -146272873.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of -15*u + 25\/2*u**3 + 0*u**2 + 1\/10*u**5 + 0*u**4 - 22\/15*u**6 + 0. Find the second derivative of g(j) wrt j.\nAnswer: -528*j**2 + 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-2*sqrt(14))\/((sqrt(63)*2)\/sqrt(9)) + -4.\nAnswer: -4 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 5:23 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g**2 - g**2 - 1 + 4 + (0*g + 2*g - g)*(2*g + 0*g - g) to the form r*g**2 + z*g + c and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 36932322600 rounded to the nearest one million?\nAnswer: 36932000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3b4a5 (base 12) to base 2\nAnswer: 10011111111111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - 2*c**2 - c + 2. Let d be k(2). Let m = 40 + -24. Let w = m - 13. Solve 4*u - t - 2 = -u, d = w*u - t for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 20, 85, 192, 341?\n\"Answer: 21*n**2 + 2*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 + 5*h**2 - 6*h + 10. Let s be t(4). Let z(q) = -5*q + 17. Let d be z(3). Differentiate -73*o**s - d - 7 + 63*o**2 with respect to o.\nAnswer: -20*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -4) + -6 + -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -k*l*m - 65025*k + 16694*l - 4*m with respect to k.\nAnswer: -l*m - 65025","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (56*j + 3*j**2 - 56*j)*(4 - 5 - 1) + (-1 + 1 + 2 - 2*j)*(3*j - 6*j + j).\nAnswer: -2*j**2 - 4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**2 + 2*v**3 - 3*v**2 + v**2)*(94*v + 106*v - 45*v).\nAnswer: 310*v**4 + 155*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -6 - -3 - (3 - 24 - -33).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - (-1 + -6) - -11.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2749945 by -55.\nAnswer: 49999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*u - u + 30. Solve u*c - 2*i - 4 = 0, -i + 3 - 2 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15335\/63933 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v - 1. Give o(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 95 and 761862?\nAnswer: 3809310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i. Let x(l) = l**2 - 2*l - 2. Let t be x(3). Let j(u) be the first derivative of t + 0*u + 1\/3*u**3 + 0*u**2. Determine j(m(o)).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 28 = -23. Solve 0 = 2*g + 2*d - q*d - 5, -20 = -4*g - 4*d for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9678 divided by 6.\nAnswer: -1613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2201 + 10?\nAnswer: -2121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 196888412 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mzn when three letters picked without replacement from {p: 3, w: 2, n: 6, z: 1, m: 2, y: 1}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of 1\/18*l**6 + 0*l - 99 + 5\/12*l**4 + 2\/9*l**3 + 4\/15*l**5 + 0*l**2. Factor b(s).\nAnswer: s**2*(s + 1)**2*(s + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*t**3 - 18*t**3 - 33*t**3 - 20*t**3.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 11 = 55*t - 54*t, 34*l + 2*t + 162 = -t for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(132)*-1*-5 - ((-1*sqrt(132)*-6 - sqrt(132)) + sqrt(132) - sqrt(132))))\/(-1*sqrt(1452) + (sqrt(132)\/(1*sqrt(11)) - sqrt(12))) + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 82225 by -9.\nAnswer: -82225\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -77*c + 74*c + 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + 0. Suppose -2*j - j = -5*l - 23, 0 = -3*j + 3*l + 21. What is the smallest common multiple of j and n?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 4*d = l + 107, l + 3 = 0. Let m be (2 - (5 + -8)) + (-150)\/d. Sort m, -2\/21, 0.3.\nAnswer: m, -2\/21, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 17 + 21. Which is the second smallest value? (a) w (b) 0.1 (c) 0.26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 14*h - 15. Let q be f(-13). Let c be 730\/q*28\/(-70). Differentiate -4 - c*p - 2 + 131*p with respect to p.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssyidd. What is prob of sequence sysi?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of 229\/12*p**4 - 2*p**2 + 5\/6*p**3 + 21*p + 0. What is the tens digit of u(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 46, 86, 144, 226, 338, 486?\nAnswer: 676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55379?\nAnswer: 79, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2045341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -5*y - 369, -y + 643 = -2*w - 3*w. Let k = -39 - w. Suppose -f + k = -56. List the prime factors of f.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 479 + 0*i**2 - 923 + 3*i**2 + 444.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 + 11*p + 18. What is n(12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*m + 88*m + 819 = -20*m + 10971 for m.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-108) - 34\/(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*a - 2*a + 25*a**2 + 3 - 22*a**2)*(-3 + 1 + 0)*(622*a + 4 - 609*a - 3) + 0 + 0 - 2*a**3.\nAnswer: -80*a**3 - 110*a**2 - 86*a - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 - 18*k + 45. Let m be i(15). Let d(g) be the third derivative of m*g**3 + g**2 - 1\/150*g**5 + 0*g + 1\/20*g**4 + 0. Factor d(a).\nAnswer: -2*a*(a - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 - 48*w**2 + 104*w**2 + 7*w**3 - 13 + 3*w - 57*w**2 - w**4 to the form q*w + u + a*w**2 + p*w**4 + j*w**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 566*a + 299*a = -86*a + 41844 for a.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22400 and 664000?\nAnswer: 9296000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1296 and 990.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(220) - sqrt(55)) + sqrt(55))*3)\/(sqrt(1331)*-1) + 1.\nAnswer: -6*sqrt(5)\/11 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 3*g - 111443 = 0, -28*h + 89149 = -24*h + 3*g. Does 69 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 - 8. Suppose 5 = -h - r. Let v be 3\/2*h\/(-9). Solve -5*l = 4*a - 3*a + 1, 4*a - v*l - 18 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 12, o: 6}. Give prob of sequence eee.\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 - -17. Let s(r) be the first derivative of -r + 1 + 1\/2*r**y. Find the first derivative of s(d) wrt d.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44522 and 394?\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 47501 (base 15) to base 14\nAnswer: 5cb63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pyyyexp. Give prob of sequence epx.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*v**3 + 50 - 14*v**4 + 15 + v**2 - v**4 - v**2 with respect to v.\nAnswer: -60*v**3 - 15*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 4*c - 2*c)*(0*c - c + 2*c) + c**2 - 4*c**2 + 5*c**2 - c**2 + c**2 + c**2 - 4*c**2 + 8*c**2 - 8*c - 7 - 2*c**2.\nAnswer: 6*c**2 - 8*c - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 283*n + 5940. Let l be p(-21). Let q be 2 + -2 - (-17)\/1. Let f = q + -12. Put 2, f, -2, l in decreasing order.\nAnswer: f, 2, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.66 - -3.66. Which is bigger: 442 or u?\nAnswer: 442","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 567220522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -102859*a**4 + a**2 - 13 - 3*a**2 + 102809*a**4 + 2*a - a as b*a**3 + y + o*a**2 + n*a**4 + w*a and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**4 + 3*a**3 + 9*a**2 - 3*a - 6 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2177 + 398393\/183. Which is bigger: u or 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1)**(1\/22)*((g**(-3)*g*g)\/g)\/(g*g\/(g\/g**3)) assuming g is positive.\nAnswer: g**(-131\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1008 and 347508?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*o + 51*o + 3 - 8*o + 84*o to w*o + g and give w.\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of 2*q**7\/21 - 4*q**6\/15 + 2*q**4\/3 - 2*q**3\/3 - 11*q + 1. Let c(y) be the first derivative of t(y). Factor c(s).\nAnswer: 4*s*(s - 1)**3*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence esbr when four letters picked without replacement from iiiserbbsefbsisiii?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + 1*(2 - 1). Let t be 3\/(18\/4)*z. Let u be -3 + (-4 - -3) + 15. Solve -s + r - t = 6*r, u = 3*s - 2*r for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 207 + -204. Suppose u = 5*g + 29, -p*u - g + 2 = g. Let j(x) = 2*x**2 + 7*x - 5. Let y(k) = -k + 1. Give u*y(b) + j(b).\nAnswer: 2*b**2 + 3*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 11*s = 30. Suppose 36 - 11 = -s*c, 4*i = -4*c + 5380. Is 25 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 341698 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t + 8. Let x be o(-2). Suppose 21 = u + x*u. Suppose -5 = -q + u. Solve -i + q = -4*m - 8, 0 = -5*m - 5*i - 20 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 247\/(-342) + 1\/18. Let i = -6 - -5.93. Let g = i - -10.07. Is g at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(2*sqrt(12)) - (sqrt(18) - sqrt(72))**2.\nAnswer: -18 + sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4295409, -4295400, -4295391, -4295382, -4295373, -4295364?\n\"Answer: 9*g - 4295418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**2\/4 + 292375*y\/2 + 584751\/4 = 0. What is y?\nAnswer: -1, 584751","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 5 + x)*(0*x - x - 3*x) + 7*x**2 - 3*x**2 + 2*x**2)*(2 + 6 + 3).\nAnswer: 22*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16672 is divided by 42.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8667793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 2)\/((-1)\/5) - -3. Suppose c - 5*w + 10*w - 4 = 0, -c + w = n. Sort c, 2, 5.\nAnswer: c, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 170\/141 = 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i - 8 = -3*i. Let j = -10 - i. Let b = 23 + j. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-8)*4*3. Is 248\/r*(2 - (5 + 0)) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 68619217*g*y + 85913550*g with respect to y.\nAnswer: 68619217*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -45*n*s**2 - 6*n*v + 2*s**2*v + s*v - 8*v wrt n.\nAnswer: -45*s**2 - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -94477.52826 - -114.72\nAnswer: -94362.80826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-274)\/(-4)*(2 + 0 + 0). Let u(c) = 12*c - 31. Let g be u(4). Let q = b - g. What is the greatest common divisor of 15 and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 13) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -12*k - 3. Let s be f(-4). Let q = -249 + 253. Let u be (q\/(-5))\/(18\/s). Let h(n) = -9*n - 2. Determine h(u).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -371 (b) 4 (c) 1\/2 (d) -0.4 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 130, 321, 598, 967, 1434, 2005?\nAnswer: 2686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209 is divided by 205.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/2 and 107\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j + 1. Let f be h(-1). Let z be 23 - f*(5 - 3). Solve 0*y - z = -5*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 294 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.11 - -2.11. What is the second smallest value in -2\/7, 4\/3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*d + 706142 + 391189 = 0. Calculate the remainder when d is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2520 (base 7) in base 12?\nAnswer: -669","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of -t**2\/2 - 4*t - 3. Let c(a) = 3*a**2. Let x be c(-1). Let g = -6 + x. Give m(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 81.72616mg?\nAnswer: 0.08172616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.9927 + -0.0073. Let j = 2 - 2. Which is the second biggest value? (a) j (b) k (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ogec when four letters picked without replacement from {o: 3, e: 4, m: 1, n: 1, c: 1, g: 2}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + (23 + (-60 - -21) - 19).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 39\/(-9) + 4 - (4 - 35\/6). Factor -7\/2*o - h - 5\/2*o**2 - 1\/2*o**3.\nAnswer: -(o + 1)**2*(o + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2201 is divided by 501?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1212 is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 901\/5 - 6572\/35. Find the common denominator of -115\/6 and c.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n. Let j(r) = 5*r + 11. Let h(f) = j(f) + 2*p(f). Is 10 a factor of h(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + -1 - (9 + -9). Suppose 0 = -5*l - 3*n + 7039 + 17278, q = -2*l - n + 9726. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xbt when three letters picked without replacement from {v: 1, t: 1, x: 2, b: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k. Let s(u) = -27*u**2 - 27*u. Determine 27*g(i) + s(i).\nAnswer: -27*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -789470 rounded to the nearest ten thousand?\nAnswer: -790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 AM and 11:31 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 413 is divided by 234.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71775083?\nAnswer: 109, 658487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (127 - 56 - 59)*(2 - 8*m**2 + 4*m**2 - 6*m**2 - 2*m) to the form g + p*m**2 + z*m and give g.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = v - 2, 4*v - o - 9 = 2*v. Let m be 23 + (0\/(-3))\/(-3). Solve 0 = -5*r + 4*x - m + 6, 0 = 3*r - v*x + 15 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 219332 = j, -8*q = 5*j - 5*q - 1096658. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((10 - 1) + (-736)\/64)*12\/(-1515)?\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -17 - 177?\nAnswer: -18e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 83718, 83711, 83700, 83685, 83666, 83643?\n\"Answer: -2*v**2 - v + 83721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -4*l**2 - l. Suppose -9*m + 4*m = -15. Let w be m*((-4)\/12 - 0). Determine f(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 693 is divided by 58?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12609 = -0*b - 9*b. What are the prime factors of b?\nAnswer: 3, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 71*c**2 - 3*c**2 + 3*c**3 + 1247 - 1523 - 10*c**3 + 215*c = 0.\nAnswer: -23\/7, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 596 a factor of 4666389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30338 + -30335. Factor 0*w + 1\/2*w**2 - 2*w**m + 0.\nAnswer: -w**2*(4*w - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) 12\/7 (c) -20 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2296177 = 5916*s - 5903*s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230 is divided by 53.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15211238?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, -146, -400, -756, -1214, -1774, -2436?\nAnswer: -3200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 2910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(1\/2)*p)\/p**(-4\/7))\/(p*p\/p**7*p*p**(-2\/11)\/p))\/(p**(1\/12)*p\/(p*p*p**(-2)*p))**48 assuming p is positive.\nAnswer: p**(501\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1875*z**2 + 1759*z**2 - 4394*z**2.\nAnswer: -760*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*b + 17*b - 247 = 12 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -6*c. Let k(h) = 5*h + 420. Let n(a) = 20. Let t(s) = k(s) - 20*n(s). Give v(t(b)).\nAnswer: -30*b - 120","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 22, 59, 126, 229, 374, 567, 814?\n\"Answer: u**3 + 9*u**2 + 3*u + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - 91\/(-35)) + (-86)\/10. Sort 3, 16, n.\nAnswer: n, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*s**2 + 105*s**3 + 31*s**2 - 202*s**3 + 99*s**3.\nAnswer: 2*s**3 + 23*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16318937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*q - 6028*q - 31390 = 123180 for q.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 571 is divided by 72.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2. Let n be f(2). Let a be (9\/(-6))\/(3\/n). Let h be (-1 + 0 - a) + 0. Which is bigger: h or 2\/9?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1860)\/(-30) - 52)*16\/(-30)*(-81)\/(-12)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -68, -5, -9, -3 in ascending order.\nAnswer: -68, -9, -5, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 6*l**2 - 2*l. Let v(t) = 7*t**2 - 2*t - 1. What is 5*u(a) - 4*v(a)?\nAnswer: 2*a**2 - 2*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73.187*3.\nAnswer: -219.561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7884 - -7883.5. Which is the second smallest value? (a) -2 (b) q (c) -230\/7 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = -2*t - 3*t - 15, -3*d + t = 14 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 5*z - 15 = 0, 2*y + 0*z = -5*z + 20. Let d = y - 0. What is the remainder when 12 is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hyr when three letters picked without replacement from {h: 2, r: 1, y: 1, i: 3, p: 3, s: 1}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -114*a**4\/5 - 11637*a**3\/5 + 17712*a**2\/5 = 0.\nAnswer: -1968\/19, 0, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + 23. Calculate the lowest common multiple of (0 + 0 + 2)*1 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13.5*-0.3\nAnswer: -4.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -373, 2 in ascending order.\nAnswer: -373, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11781169121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 4. Suppose 4*y = 4*h + 396, 0 = -x*h + 5*h - 4*y + 495. Let b = h + 798. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 861, 3448, 7727, 13686, 21313, 30596, 41523?\n\"Answer: -2*k**3 + 858*k**2 + 27*k - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 343*k + 1. Let q(i) = -i. Let h(r) = 5*q(r) - x(r). Is h(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/6380 and 59\/2320.\nAnswer: 25520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001882284814 rounded to 6 dps?\nAnswer: 0.001882","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5881*t + 290518 - 290518)*(0*t - 4*t + 3*t).\nAnswer: -5881*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -7425610, 1.2.\nAnswer: -7425610, 3\/5, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31349513 - -40440854677\/1290. Let c = 18\/215 + i. Calculate the common denominator of c and (-33)\/(-132)*(37*-2 - 1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mewemffg. What is prob of sequence gm?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*q + 9*q + 29 - 19 - 35*q to s + o*q and give o.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4*(-6)\/432)\/((-6)\/15). Which is smaller: g or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.28 - 0.48. What is the third biggest value in -5, x, 1\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.093 * 0.38.\nAnswer: -0.03534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -6, -5, -12.9?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of -m**3\/3 + 4*m**2 + 11*m + 1. Let w be l(9). Sort w, -4, 1.\nAnswer: -4, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.06980904 rounded to four decimal places?\nAnswer: -2.0698","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 4*a**3 - a**2 + 15*a + 5. Let c(s) = -8*s**3 + 2*s**2 - 29*s - 11. Calculate 9*b(q) + 4*c(q).\nAnswer: 4*q**3 - q**2 + 19*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of a**4 - 345845318*a**3*s + 374765335*s wrt a?\nAnswer: 4*a**3 - 1037535954*a**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15.16216 - 0.15876. Let n = 15 - o. What is n rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 + -12321212?\nAnswer: -12321133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3*g = -5*q - 20, -3*q = -g - 22. Let u = g + 14. Calculate the remainder when 10 is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -517 + 492. Let y(w) = -1. Let u(b) = -25*b + 25. Let f(k) = g*y(k) - u(k). Let d(i) = 16*i. Calculate f(d(t)).\nAnswer: 400*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o + 1. Let b be g(-5). Let z be (8\/(-10))\/(b\/380). What is the greatest common factor of z and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*m**2*s**2 + 23*m**2*s - 188*m*s - m - 1013*s**4 wrt s?\nAnswer: 26*m**2 - 12156*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x = 25 + 24 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*4\/36*3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18449 - 14882. Does 4 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33840 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1234568140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**3 - s**2 - 3*s - 3. Give a(-3).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - -18. Suppose 2*n - k*z - 28144 - 33876 = 0, -2*n = 4*z - 61984. Round n to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 98118 and 607476?\nAnswer: 431915436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -198742 + 24?\nAnswer: -198718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -47\/48735 or 0?\nAnswer: -47\/48735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1188*i + 162*i + 16954 + 1514 = 0 for i.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26 - 38. Let u be 90\/(-8) + o\/16. Let s be 3\/(u\/(-256)*4). Solve -7*r + s = -3*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 12. Let j be (y - (0 + 34))*1. Is 1 - (j - (-3)\/(-1)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2140434 (base 5) to base 10.\nAnswer: -36994","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - 12) + (144 - 81)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 37171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 2056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4752580 (base 9) to base 14.\nAnswer: 4addc3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c - 4*c + 19*c.\nAnswer: 22*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 97.5 - 97. What is the nearest to 0.07 in -1\/3, t, 3\/4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2709*a - 2482*a + 10415 - 2016 = 0 for a.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 47199 (base 14) in base 6?\nAnswer: 3413511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 + g + 1. Let o(a) = -10*a**2 - 12*a - 10. Let d(j) = -o(j) - 8*t(j). Let v(s) = -2*s**2 - 3*s - 1. Let q(r) = -3*d(r) - 4*v(r). Factor q(x).\nAnswer: 2*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -6*y**3 - 9*y**2 - 6*y + 114. Let h(d) = 3*d**3 + 5*d**2 + 3*d - 57. Let s(p) = 9*h(p) + 5*j(p). Differentiate s(f) wrt f.\nAnswer: -9*f**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3990\/(-14)*(0 + -15)?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (13 - 3 - (-7 - 77 - -64)) + (0 - 6)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3630) - (-3*(2*sqrt(3630) + sqrt(3630)) + sqrt(3630)))\/((sqrt(60)\/sqrt(2))\/sqrt(5) - -2*sqrt(24)).\nAnswer: 99*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f - 328*f**4 - 27*f**2 + 165*f**4 + 165*f**4)*(-f + 2*f - 3*f + (-5 + 5 + 2)*(3*f + 2*f - 3*f) + 6*f - 2*f - 5*f + 0*f - f - f - f + f - 5*f).\nAnswer: -12*f**5 + 162*f**3 + 12*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 71 + -71.1. Sort -2\/13, 15, r in descending order.\nAnswer: 15, r, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 43*q**2 - 1 - 88*q**2 + 42*q**2 + 2*q as t*q**2 + b*q + v and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/21 + 0 + 2\/7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 98673 and 3906?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 439.0558 weeks?\nAnswer: 73761.3744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -4*x**2 + 270*x + 1359. Give y(-5).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -a**4\/24 - a**3 + 9*a**2. Let i be b(-7). Let z = -256\/3 + 84. What is the nearest to i in 2, z, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -4*f + 1. Let l(m) = m. Let x(d) = 2*k(d) + 7*l(d). Calculate the lowest common multiple of x(-4) and 33.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.7 + -0.6728. What is q rounded to 3 decimal places?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - i. Let z be 1 - (i - 0 - 0). Let c(p) = 2 - 4 + 3 + p. Let q(k) = 2*k + 4. What is z*q(f) - 3*c(f)?\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -13, -4, -5, -981 in ascending order.\nAnswer: -981, -13, -5, -4, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (238*r + 28668 - 28668)*(-r + 3*r - r + 2 - r**2).\nAnswer: -238*r**3 + 238*r**2 + 476*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + -22. Let d = -2268 + 2278.018. Let b = k + d. Round b to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*x**3 + 2*x**2 + 0 - 2*x**3 + 1 - x**4 - x**3 to l + k*x**2 + c*x**4 + u*x**3 + p*x and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 514 = h - 822, -5*h = -v + 313. Is 37 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 683.\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 4*z - 15 + 0 = 0, 0 = 5*j - 5*z + 30. Let q be (3\/6)\/(j\/6). What are the prime factors of 35 + -3 + q + 2?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3176355?\nAnswer: 3, 5, 7, 13, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (-11)\/(22\/(-30)) - -7)*1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(16\/10))\/(5\/5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -91, -171, -259, -361, -483, -631?\n\"Answer: -z**3 + 2*z**2 - 79*z - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p**3 + p**2 - p + 1. Let z be s(1). Let u = -0.074 + 0.074. Which is the second smallest value? (a) u (b) z (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2914 - 2480. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64\/(-50)*15*(-8)\/(-1104)*23.\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 58 - 55. Find the third derivative of 3*y**u - 9 - y**2 - 2*y**3 + 6*y**2 + 3 + 12*y**5 wrt y.\nAnswer: 720*y**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 25 = j, r + 5*j = 5*r + 9. Suppose -x = -4*g - 3 - 12, r*g = 4*x - 60. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41.6 + 46.6. Put -3\/14, 19, p, 3\/7 in ascending order.\nAnswer: -3\/14, 3\/7, p, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 plus 2627075009?\nAnswer: 2627075028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 25*x**2 - 2. Let n = 180 - 173. Let w(i) = -4*i**2 - 3*i + 3. Let l(y) = -9*y**2 - 7*y + 7. Let m(b) = n*w(b) - 3*l(b). Give m(a(t)).\nAnswer: -625*t**4 + 100*t**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*b = a + 46*b - 755, -3*a - 3*b + 2295 = 0. Calculate the remainder when a is divided by 756.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15324160 (base 7) in base 4?\nAnswer: -11212200322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/21)\/((-4)\/12). Let s(d) = d + 5. Let i be s(-5). Suppose i = -5*g + 2*g. Is g greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*o**4 - 2*o**4 - o**4 + (-o**3 + 3*o - 3*o)*(-o + o + o) + 5*o**4 + 2*o**2 - 2*o**2.\nAnswer: 6*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*h = 120 - 372 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -399, -806, -1219, -1638, -2063?\n\"Answer: -3*g**2 - 398*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-104.\nAnswer: -31.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2. Suppose 49 = -17*b - 2. Let n(o) = 4*o**2. Let w(l) be the third derivative of -l**5\/20 - l**2. Let q(u) = b*w(u) - 2*n(u). Calculate d(q(j)).\nAnswer: j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of u**3\/6 + u**2\/2 + 5*u. Let m(r) = 13*r**2 - 4*r + 3. Let c be m(1). Let t = -15 + c. What is p(t)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -2. Let l be -1 - c - 2\/(-1). Sort l, 1, -4 in descending order.\nAnswer: l, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/18 and 149\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 608*m**2 - 2517*m wrt m.\nAnswer: 1216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1320 and -1.5.\nAnswer: 1980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18726 is divided by 792.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-6)*(-36)\/(-138)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 349544.\nAnswer: 2, 13, 3361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*a**4 - a + 21*a**2 - 2 - 3*a**3 + 30*a**4 - 3*a**4 in the form q*a**4 + z*a + s + x*a**3 + l*a**2 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -341*p**2 - p + 1. Let s be v(1). Let j = 59 - s. What is j rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2429038?\nAnswer: 2, 1214519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/595 and 11\/56?\nAnswer: 4760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 346294 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7074451 is divided by 1355?\nAnswer: 1351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 65657439*b**4 + b**3 + 137591823*b.\nAnswer: 787889268*b**2 + 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-7)\/6)\/((-2)\/(-6))*-4. Let t(b) = 50*b**2 - 29*b**2 - v*b**2. Let j(n) = -n. Give t(j(l)).\nAnswer: 7*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.325 + -0.19. Let v = -0.13499917 + f. Round v to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69770515 to the power of 1\/2, to the nearest integer?\nAnswer: 8353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, z: 7, h: 2}. Give prob of picking 1 v and 2 h.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 58980 to the power of 1\/2, to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 28 = 2*j, -2*g = -3*g + 4*j + 20 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 5:01 PM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 474755?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -10) + -6 + (-6 - -15).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1948602 divided by 38\nAnswer: -51279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + 16. Let l(s) = -2*s**2 - 47*s + 29. Let z be l(-24). Suppose 3*q + q - 8 = 4*v, z*v = 2*q - o. Which is the nearest to -1? (a) 0.4 (b) v (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 2*o - 3)*(-2*o + 3*o + o) + (2*o + 0*o + 0*o)*(-4*o + 1 - 1))*(0*o + 5*o**3 - 2*o - 3*o**3).\nAnswer: -8*o**5 + 8*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -3, -35 = -3*s + 2*c - 7*c. Solve -s = 2*k - 0*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 271 and 43.6.\nAnswer: 11815.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 14312101 (base 5) in base 11?\nAnswer: a3413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - 12 - (131 - 135 - (-1 + -3))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -7\/3 (b) -13 (c) -1 (d) 5\/3 (e) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 902773539?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 55 - 19?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.7, -17325, -382\/7?\nAnswer: -17325","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -3, 0 in decreasing order.\nAnswer: 20, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 261683 is divided by 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5318, 10638, 15958?\n\"Answer: 5320*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18232 + 328091\/18. What is the common denominator of c and 133\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirteen eighths of a kilogram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t**5\/3 - 271*t**4\/3 - 946*t**3\/3 + 40790*t**2\/3 - 47443*t\/3 + 7865\/3 = 0.\nAnswer: -13, 1\/5, 1, 11, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, -161, 2, -5 in increasing order.\nAnswer: -161, -47, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -210*x + 650*x - 219*x + 116 - 225*x to n*x + q and give q.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 56 + -53. Let b(v) = 5*v - 4*v**3 + g + 0*v**3 + 4*v**2 - 7 + 3*v**3. Give b(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 488474756 to the nearest integer?\nAnswer: 788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/((10\/(-3))\/(-5)). Calculate the remainder when ((-66)\/(-9))\/((-2)\/d) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*r - 21*r - 88. Let a = r + 26. Suppose 4*y - 888 = v, 3*y + v - 643 = -a*v. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39773396?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 9, q: 10}. Give prob of picking 1 h and 1 q.\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 8:52 AM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 11*v - 15 = 0. Suppose v*h + 5*g = 1820, 5*h = 5*g + 1175 + 655. Let s = -208 + h. List the prime factors of s.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x**3 - 3*x**2 - 3*x - 1. Suppose -2*i + 7 - 1 = 0. Let a(r) = 19*r**i + 14*r**2 + 25 + 14*r - 21 - 9*r**3. Calculate -3*a(n) - 14*l(n).\nAnswer: -2*n**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 169 - 172 = 0. Suppose 5*y - 199 = -q*a + 151, -3*y + 452 = 4*a. Does 22 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 1708.\nAnswer: 5\/1708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lhwhyywwhw. What is prob of sequence lwh?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51.644572 days to weeks.\nAnswer: 7.377796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from uujjujuuuujjjjjjuuu.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1025*x + 2 + 926*x + 1 - 2*x**2 - 1 to the form r*x**2 + a*x + f and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -32 (b) 39\/2 (c) 6.468\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(351) - (4*sqrt(351) + sqrt(351)) - sqrt(351))\/sqrt(3).\nAnswer: -15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12914668 = -366*x - 12891610 for x.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 13 - 177. Let n = i - -53. Let s = 16 - 14. Solve -n = 5*g - m - 0*m, -12 = s*g - 4*m for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 17*x**2. Let w(y) = -902*y. Calculate m(w(p)).\nAnswer: 13831268*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 6842 = 536. Suppose 12*c - p + 989 = 0. Does 45 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*w = 40*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kjkj when four letters picked without replacement from kkkjkkkjkkjk?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 7130948 divided by 324134\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 208\/36 + (-2)\/(-9). Suppose 65 = -l*a - 157. Let x be 6\/(-6) + (0 - a). What is the highest common divisor of 4 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7137? (a) 1 (b) 8 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 717 = 3*w + 4*k, 669 = 3*w + 59*k - 63*k. Calculate the remainder when w is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28 + 20. Let n = m + 7.99. Let v = -572 - -5146\/9. Which is the third biggest value? (a) -0.2 (b) v (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 4*w - 88, -22 = z - 5*w + 28. Let x = z + 21. Let h = x - -47. Is 9 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from hghhhjhooghjhhghghh?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/28*-2*(-20)\/(-10))\/1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(2\/53)*a)\/a*a*a**22)**36 assuming a is positive.\nAnswer: a**(45864\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 - 13. Suppose -4 = y - 4*g - 3, -3*y + o = g. Suppose 5*z - 2*t = 20, 3*z - t - y*t - 26 = 0. Solve 1 = c - z for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 9*d - 65 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/8)\/(459\/(-68)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 177, 182, 187, 192?\n\"Answer: 5*q + 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/15 + 11334\/30. Is 5\/(15\/c) - -1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = -3*p + 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9\/(-6))\/((-3)\/(-4)). Let q be w + 2 - (0 + -2). Let o be (-119)\/(-34) - 2\/(-4). Solve q*h + 8 = 2*m, -2*m - h - o = -7*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 158468 and 7612?\nAnswer: 1743148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*r**4\/7 + 4*r**3\/7 - 132*r**2\/7 + 236*r\/7 - 16 = 0. Calculate r.\nAnswer: -7, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 10:11 AM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from ipuiiiuiiuip.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 5. Suppose 6 = 6*f - 3*f. Solve 2 + f = -b*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1368\/264 + -5)\/((-6)\/(-12))?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r - 24*r = 19*r - 595 for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -36? (a) -2 (b) -126\/11 (c) 6.2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(10 + -17) - 4\/(-1). Suppose -2*w + 3*q = 31 - 159, r*w - 216 = -4*q. List the prime factors of w.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ezjjjeoozzzooozzjz. What is prob of sequence ojo?\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/8 + 2\/(-4). Let g be 2 - (-7 + u - -2). Suppose g*w - 2*w = 48. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -10323, -41483, -93417, -166125, -259607?\n\"Answer: -10387*p**2 + p + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 100\/26 + 2\/13. Suppose y = q*y. Let f be 0 - (6\/(-2) - y). Put 1, -2, f in descending order.\nAnswer: f, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 370254984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, e: 2, n: 2, b: 5}. What is prob of picking 2 w?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide 93789?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -31 + 54 - 19 - 2*i + 7*i. Let h(d) = 11*d + 9. Give 7*f(q) - 3*h(q).\nAnswer: 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36117 is divided by 56.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eg when two letters picked without replacement from {x: 1, g: 4, v: 2, o: 1, e: 9}.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 51*u**4 - 45*u**3 - 6*u**2.\nAnswer: 3*u**2*(u - 1)*(17*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/((t\/t**(2\/7))\/t))\/t)**(18\/11))**(-1\/46)\/((((t*t\/(t\/(t\/t**0)))\/t*t)\/t)**(3\/14)\/(t**(2\/7))**29) assuming t is positive.\nAnswer: t**(4079\/506)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1847 - -6593. Let t = 4743.331 - c. What is t rounded to 1 decimal place?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (11 - 7)) + -11.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/504 and -23\/840?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238 is divided by 78.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 296 + -296.8. Which is smaller: 2.2 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185 a factor of 3828506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**3 + v**3 - 4*v**3 + (-4*v**2 + 6*v**2 + v**2)*(-v + 4 - 4) + 2*v**3 + v**3 - 4*v**3.\nAnswer: -9*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - -11. Suppose 109 = 4*w + d. Let j(t) = 2*t**2 + 10*t + 17. Calculate the remainder when w is divided by j(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8096 greater than or equal to 8096?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (8 + (-8 - -3))) + -4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((200\/(-240))\/(660\/(-432)))\/((-3)\/(-286)).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 357*w + 5*s = 362*w + 5, -5*w + 2*s - 5 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -6*b**3 + 11*b**2 - 15*b. Let j(z) = -4*z**3 + 7*z**2 - 10*z. What is 8*j(p) - 5*l(p)?\nAnswer: -2*p**3 + p**2 - 5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -71810 * 4.\nAnswer: -287240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 56*b - 4 - 31*b - 30*b. Let l(a) = 9*a + 7. Determine 4*l(g) + 7*z(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5311 + 2458 - 636 + 257 - 2714*c + 764 wrt c?\nAnswer: -2714","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14873? (a) -5 (b) 0.2 (c) 0.913 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32 and 44.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of r**6\/40 + r**5\/60 + r**4\/6 + 5*r**3\/6 + 10*r**2. Let l(v) = v**3 + v + 1. Calculate 4*l(q) - o(q).\nAnswer: q**3 - q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(720) + (sqrt(720) - (sqrt(720)*-1)**2) + 2 - sqrt(720)) + 4 + (-4*(-1 + sqrt(720)))**2*6.\nAnswer: -2292*sqrt(5) + 68502","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9.3 - 0.45. Let v = s - -0.15. Let q = 8 - v. What is the nearest to 1\/3 in q, 3\/7, 2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 610.0146 litres to millilitres.\nAnswer: 610014.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 27 + 45. Let l be (-704)\/u - 2\/9. Let h be -1000*(16104\/60 - 6\/l). What is h rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54041 (base 10) in base 8?\nAnswer: 151431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 712.3 rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 4*n**3 - 6*n**2 + 13*n - 4. Let s(p) = p**2 + 1. Let m(l) = c(l) + 4*s(l). Let h(j) = -2*j**3 + j**2 - 6*j. What is 5*h(u) + 2*m(u)?\nAnswer: -2*u**3 + u**2 - 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of 0*p**7 + 0*p**5 + 0*p - 1\/672*p**8 + 2*p**2 + 1\/240*p**6 + 0*p**3 + 0*p**4 + 0. Find o such that c(o) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 2842794?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 96 - 92. Let l be q\/14 + (-60)\/(-35). Solve 0 = -3*f - 4*g - 0*g - 29, -l*g - 13 = f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 821, 1631, 2431, 3221, 4001, 4771?\n\"Answer: -5*u**2 + 825*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21917?\nAnswer: 7, 31, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j - 5. Let z = -49 - -49. Calculate l(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2\/15 of a decade?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(304) + 1 - (1*sqrt(209))\/sqrt(11).\nAnswer: 1 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 5*s = -6*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 AM and 4:46 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.121 plus -0.1?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of -n**3\/6 + 7*n. Let d(h) = -h. Calculate a(d(r)).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 39515, 79046, 118593, 158156, 197735?\n\"Answer: 8*s**2 + 39507*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2304 and 35968?\nAnswer: 647424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1483719, -1484035, -1484349, -1484661, -1484971, -1485279?\nAnswer: -1485585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of -h**5\/25 + 31*h**4\/60 + 22*h**3\/15 + 9*h**2\/10 + h - 5. Find q, given that y(q) = 0.\nAnswer: -1, -1\/4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -y**2\/5 + 13*y\/5 + 14\/5 = 0.\nAnswer: -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -148, -151, -166, -199, -256, -343, -466, -631?\nAnswer: -844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + u**2 + 2*u + 1. Let f be y(-1). Let m be (3\/60)\/(f\/(-2)). Let x = -0.2 + -2.8. Which is the closest to 1? (a) -4 (b) x (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.8135193mm?\nAnswer: 0.08135193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15846069 is divided by 15846042?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a factor of (9\/4)\/((3 - 11) + (-703375)\/(-87920))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**25\/m)**(-1\/7) assuming m is positive.\nAnswer: m**(-24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 18 = -b + 6*b, 0 = 5*b + 5*q - 15. Let n = b - -1. Suppose -n*m + 491 = -3*s, 2*m - s = 2*s + 191. Is m a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 3*x - 5*x - 22, 3*x + 3 = 0. Suppose 3 = -0*t + t + m, 3*m = -t + 9. Suppose -4*g - 2*i = -6, -3*g = -6*g + 2*i + 1. Sort u, g, t.\nAnswer: t, g, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {g: 5, z: 8, o: 7}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.765 + -2.765. Let q = -1.97 + -0.03. Let f = -13 + 25\/2. What is the smallest value in a, q, f?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0)**30*(n*n**1)\/((n\/n**(-3\/2))\/n)*((n\/n**(4\/3)*n)\/(n\/(n**(-8)\/n*n)))**(-46) assuming n is positive.\nAnswer: n**(2303\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 12 = -7*n. Let r be (104\/n)\/((-4)\/(-6)). Calculate the highest common factor of 13 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -295*-1.019\nAnswer: 300.605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 222 (base 12) to base 9\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*c - 4*c - 2*c)*(2 - 2 + 2*c) + (3*c**2 - c**2 + 0*c**2)*(-5 + 56 + 30)*(13 + 7 - 33) in the form s + u*c**2 + i*c and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 3*q**2 + 7*q - 6. Let s be y(2). Is -3 + 4*1\/s - -121 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.056 + -0.056. Let h = 0.6 - -3.4. Which is the biggest value? (a) h (b) -0.1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a*a**41\/a*a)*a*a*(a**(-18)\/a)\/a*a*a)\/(a*a**5)**(1\/5) assuming a is positive.\nAnswer: a**(-286\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of -7*b**6\/360 + 3*b**4\/8 - 2*b**3\/3 + 3. Let h(d) be the third derivative of c(d). Find the first derivative of h(s) wrt s.\nAnswer: -14*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404705 to the power of 1\/2, to the nearest integer?\nAnswer: 636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 19415 = -4985. Round k to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2312300 - -3210?\nAnswer: -2303030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84044?\nAnswer: 2, 21011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 18 = -4*o + 307, -1930*u + 1928*u - 4*o - 102 = 0 for u.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -110, -260, -462, -710, -998, -1320, -1670, -2042?\nAnswer: -2430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 425164647?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = p - 4*f + 9, -2*f = -5*p + 4. What is the second derivative of -2*r**2 + 2127 + 2*r**p - 2125 + 96*r**3 + 4*r wrt r?\nAnswer: 576*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nwnwowwnonn. Give prob of picking 2 n.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -12*n + 26. Let w(y) = -61*y + 131. Let k(t) = 2*w(t) - 11*x(t). Let q be k(3). Does 11 divide (-46 - q)*(-4)\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 54, 7, 2, -2 in ascending order.\nAnswer: -2, 0, 2, 7, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 4*y - 4, b - 4*y = -30. Suppose -113 + 359 = -6*x. Let p = b - x. What is the remainder when 53 is divided by p?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 595\/(-105) + 2\/3 + 4663?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-12819)\/(-3) + -107 + 91.\nAnswer: 3, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3\/8, -0.5, 0.1, -1\/3, 0.3 in decreasing order.\nAnswer: 1, 0.3, 0.1, -1\/3, -3\/8, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 PM and 3:25 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.09 take away -1.4?\nAnswer: 2.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 1 + (0 - -1) - 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1303003322 (base 4) in base 3?\nAnswer: -212221111012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23760846 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4040743?\nAnswer: 7, 577249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 620\/(-90) + 2\/3 and (14\/(-4))\/(11\/(-14))?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -0*c - 75. Let n = 17 + c. Suppose 2*d - m - 185 = 0, -5*d + n*m = -0*d - 461. Calculate the greatest common divisor of d and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*l + 28*l = 3*u + 6, -u = l + 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4140045.450327 + 4140048. Let p = 2.55 - v. Round p to 5 decimal places.\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -6, 484, 1, 103, 20 in increasing order.\nAnswer: -6, 1, 2, 20, 103, 484","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -94803 - -137290. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 8) in base 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5be + -7?\nAnswer: 5b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-62)\/4)\/(-4 + (-330)\/(-84))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*w = -25*w. Solve w*b = b + 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173854403 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -692*d - 7610 - 2393 - 3145 = 0 for d.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 AM and 3:23 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-44)\/(-99))\/(4\/18). Calculate the greatest common divisor of x and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1076*w + 8*w**3 - 48*w**2 - 2143*w + 1067*w.\nAnswer: 8*w**3 - 48*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -49*m + 1592. Determine l(37).\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 717750 and 3277?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q + 42 = 3*q. Suppose 2*a = q*t + 7, -3*t = -6 - 3. Solve 23 = -3*g + a for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1653257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9578110 is divided by 33?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1756 * -700.4.\nAnswer: -1229902.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 194 - 219. Which is the second biggest value? (a) 2\/11 (b) o (c) 3 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3356?\nAnswer: 2, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/15154, -3, -2809?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - 10*u**2 + 2561*u + 10. Let b(g) = 4*g**2 - 1280*g - 4. Calculate 5*b(i) + 2*d(i).\nAnswer: 2*i**3 - 1278*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 z when four letters picked without replacement from {h: 8, z: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2*n = 18, -2*o = 5*n - 4*n + 1. Suppose -3*z + 42 = 5*m, -4*m - m = -o*z - 22. Round m to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -42 + 32765?\nAnswer: 32723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -200*s - 256*s - 202*s - 204*s - 206*s + 1067*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*((-8)\/10)\/4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1094, 6370, 20666, 48488, 94342, 162734?\n\"Answer: 751*r**3 + 4*r**2 + 7*r + 332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a hour in minutes?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 172*b - 851. Let y(f) = 97*f - 425. Calculate 5*h(d) - 9*y(d).\nAnswer: -13*d - 430","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -291*z + 6. Let v be f(-4). Find the common denominator of 1\/4*v\/(-54) and ((-1)\/(-40))\/((-3)\/(-114)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 642983420 a multiple of 751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fpf when three letters picked without replacement from wpowwwffwffffpfpfffo.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15858416?\nAnswer: 2, 7, 17, 8329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 8*k = 304. Does 19 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 - -0.1. Let g = 2 - -1. Suppose -2*m = 7 - g. Which is the nearest to 1? (a) m (b) o (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -137?\nAnswer: -13b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 (base 12) in base 16?\nAnswer: -4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -154032*w + 616131. Determine b(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -94*y**5 - 9957*y**4 + y**2 - 188542407*y wrt y.\nAnswer: -1880*y**3 - 119484*y**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (22 - 20) + -8 + 2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 0 - 4*o - 1 + 0 - 1. Let d = 60 - 189. Let q = -126 - d. Determine a(q).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 410, 1005, 1992, 3365, 5118, 7245?\nAnswer: 9740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0437 + -2569489.\nAnswer: -2569489.0437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11656\/(-282) + 51 + 2\/3*-1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -8*(8 + (-60)\/5). Suppose n = 568 + y. What is the hundreds digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.45071 times -3?\nAnswer: -1.35213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 + 5*i**2 - 12*i - 3. What is the units digit of u(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40323836 divided by -9382?\nAnswer: -4298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -261 = 5*v + 5667*c - 5673*c, v - 4*c + 55 = 0 for v.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - z + z + 10*z)*(1051 - 1051 + z).\nAnswer: 10*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/((-119)\/(-68)))\/(1\/7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -82, -91, -98, -103?\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.03312mm to micrometers.\nAnswer: 5033.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7096951 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*m**2*z + 2251*m**2 + 673*m*z wrt z?\nAnswer: -2*m**2 + 673*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - 1 - (-358 - -319)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.5 + 18.5. Let v = 13 - r. What is the smallest value in v, 0, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 64808969?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - t + 2*t = -12, 0 = -t. Let r be 0*2\/d + 240\/12. Solve 17*v - r*v - 3 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1012101201 - -1001121211?\nAnswer: 2021000112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-945)\/525*(-12)\/(-36))\/((-57)\/(-5))\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 3\/13, -1474, 2\/9, -15, -3 in ascending order.\nAnswer: -1474, -15, -7, -3, 2\/9, 3\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j - 40 = -4. Let s(t) = t**3 + 3*t**2 + t + 13. Let a be s(j). Let g(b) = b**2 + 10*b + 25. Let d be g(a). Solve -d*o = -5*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 566 - 2821\/5. Suppose -27 = 3*k - 5*t - 10, 3*t - 55 = 5*k. Let j = 15 + k. Is j smaller than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1992 + -1354. Does 11 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1320 divided by -4\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -96055 divided by -5.\nAnswer: 19211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, q: 9, t: 1, x: 4}. Give prob of picking 1 x and 1 g.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5078 or 5087?\nAnswer: 5078","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 3 = 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((4*(sqrt(114)*1 - sqrt(114)) - sqrt(114)) + sqrt(114))\/(sqrt(384) + sqrt(384)*1) + 0)**2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11269 divided by 2?\nAnswer: -11269\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00984 times -0.02?\nAnswer: 0.0001968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7548, -7556, -7566, -7578, -7592, -7608, -7626?\n\"Answer: -b**2 - 5*b - 7542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 172*q - 2. Let h be t(5). Let r be (3\/2)\/(5 - h\/168). Which is the fourth smallest value? (a) r (b) -0.4 (c) -0.2 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1394 + -674. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8427108 divided by 443532.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8709.066 days to nanoseconds.\nAnswer: 752463302400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -3*m + 1276, -x - 6*m + 3*m + 310 = 0. Is x a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -187.2748621 to one dp.\nAnswer: -187.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*z + 55*z - 40 = 0. Let v be 2\/(-11) + 200\/11. Let q = -4 + v. Solve n + 2*k = q, 4*k - 14 = -n + z for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a**3 + 228*a**2 + 1727*a - 7260 = 0. Calculate a.\nAnswer: -220, -11, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3000975989 to the nearest integer?\nAnswer: 1442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 116 = -3*t, 2*k - 5*t = 152 - 32. Let f = k - 38. Let w = f + 7. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-322)\/(-84) - 21\/7.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19\/220 + 1292\/165. Calculate the common denominator of d and 23\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367c (base 15) in base 7?\nAnswer: 45540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 1017?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - t - 1. Let g(p) = -8*p**2 + 6*p + 6. Give 5*g(m) + 30*l(m).\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -5\/2, -0.5, 1\/1409?\nAnswer: 1\/1409","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5037 (base 8) to base 2\nAnswer: 101000011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 4*p**2 - 4*p + 7. Let i = -238 + 233. Give n(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 299 is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a year in months?\nAnswer: 162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**4\/3 + 104*w**3\/3 + 676*w**2\/3.\nAnswer: 4*w**2*(w + 13)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-168)\/(-15))\/(-2))\/(49*(-36)\/(-1470))?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 0, -2 in decreasing order.\nAnswer: 0, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -151 + 353. What is the least common multiple of 11 and j?\nAnswer: 2222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 0.5, 3\/2 in ascending order.\nAnswer: -5, 0.5, 3\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h**3 - 4*h**2 - 2. Is c(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 2*t - 4, 3*t = -5*u + 27. What is the greatest common divisor of 3 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 332*i - 320*i = 264. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8639 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -4, -28, -107, 0.1, -84?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 55*k + 443 = 0, 5*o - 517 = -2*k - 548 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zi when two letters picked without replacement from iibbzbb?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*u - 0*u. Let v(y) = 5*y**2 + 2*y + 1. Let a be v(u). Solve 4*j + 4 = -a for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 362 and 550 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 155*z - 170*z. Let p(h) = -5*h**2 - h. Give p(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163497211?\nAnswer: 17, 727, 13229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oww when three letters picked without replacement from {w: 4, o: 14}.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6381 by -296.\nAnswer: -6381\/296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3 and 0.1133.\nAnswer: 3.1133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1345.1 - 1341.1. What is the second smallest value in b, -16, 1\/2, 0.6?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1029435 + 25.1022935. Let j = -25 + p. Round j to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5244343 (base 8) to base 5.\nAnswer: -324114130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*m - 136*m + 14924 = 18*m - 49*m for m.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9522 + 9567.3. What is the third biggest value in o, 2\/9, -2, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55488, 55429, 55330, 55191, 55012, 54793?\nAnswer: 54534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -19*h**2*y - 105*h**2 + 3372*h*y - 538515053*y wrt h?\nAnswer: -38*h*y - 210*h + 3372*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 30219 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccccffccccfcccfccc. Give prob of sequence ccf.\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1041265?\nAnswer: 5, 208253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63187 = 2556*n + 161741 for n.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 77 - 76.9. Let h = -3 + -3. Let x = h + 11. What is the closest to b in -3, x, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (0 + -1 + 2 + sqrt(1053) + sqrt(1053) + -1)**2*6 + -4.\nAnswer: 25273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2430553, -4861096, -7291635, -9722170, -12152701, -14583228?\n\"Answer: 2*c**2 - 2430549*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -51 - -36. Let q = -14 - a. Solve 2 = -t - q for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 4*z + 3. Let o be b(-2). Suppose -7*g = -8*g - 5*j - 2, o*g - 4*j - 13 = 0. Let c be 2 - g\/1 - -2. Sort -4, 8, 5, c in descending order.\nAnswer: 8, 5, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 512, 609, 706, 803?\nAnswer: 900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3\/10 + -9\/10. Let j be (5\/(-3))\/(8\/(-24)). Suppose -j*p = -2*p + 3. Which is smaller: p or u?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00031533206 rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 962 = 2*q + 7*y, 4*q + y - 1942 = 0. Suppose 3*i + 3*l = 419 + 577, -5*i - 2*l = -1675. Let r = q - i. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 106, -2, 0, 4 in ascending order.\nAnswer: -3, -2, 0, 4, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -216?\nAnswer: -215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of -p**3\/3 - 2*p**2 + p. Let a be 9\/((18\/8)\/(162\/(-108))). Determine k(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 10 - 5 - 8 - 6*y. Does 14 divide k(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/289804 and -57\/76552.\nAnswer: 4057256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 1)*(-81*w + 121*w - 69*w) - 4*w + 3*w - w.\nAnswer: 27*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 3*g**2 - 1. Let z(q) = -6*q**3 + 54*q**2 + 21. Give 18*m(a) + z(a).\nAnswer: 12*a**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-5\/8))**(-2\/17)*(v*v**(-7\/3))\/(v\/v**(-3)*v) assuming v is positive.\nAnswer: v**(-1277\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 137 = 5*g - 0*g, b + 31 = g. Let v be (-2)\/6*(3 + -9). Suppose -3*c = -c - 8, v*w = -c + 12. What is the highest common factor of g and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 785455?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j + 2. Let h = 53 + -51. Let v be k(h). Suppose -3*s = 15, v*m + 2308 = m + 3*s. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 593446536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of 163*n**5\/10 + n**3\/3 - n**2\/2 + 2*n + 19. What is the hundreds digit of a(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7521, 30096, 67713, 120366, 188049?\nAnswer: 270756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6344448 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - -6) + -2 + -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 12) to base 11\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26652 is divided by 1929.\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 279\/2 - 139. Which is the nearest to 3? (a) x (b) 2 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*b**3 + 10*b**3 - 2820 + 47*b**3 - 7*b**3 + 2820.\nAnswer: -23*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2299, 9235, 20793, 36973?\nAnswer: 57775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -3*q**3 + 405*q**2 - 17784*q + 251472 = 0.\nAnswer: 31, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11746 is divided by 34?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 11484, 22939, 34394, 45849?\n\"Answer: 11455*q + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/257 and 71\/2313.\nAnswer: 2313","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 40056, 80101, 120128, 160131, 200104, 240041, 279936?\n\"Answer: -f**3 - 3*f**2 + 40061*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -4*v. Let t be l(-1). Suppose -5*i - t = 3*g, -4*g - 6*i = -2*i. Suppose -u = 4*d + 3, d - g*u = -5*u - 9. Solve 0 = j + 4 - d for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -3*q**2 + 6*q + 5. Let s be b(5). Let x = -30 - s. Solve -x = k - 3*j, 0 = 2*k - 5*k + 2*j - 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17107 is divided by 776?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30 + 35. What is the nearest to -0.1 in a, 0.4, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 72\/(-21)*(10 - 24). Suppose j = 153*c - 147*c. Solve c*a + 5 = -35 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -3 + 3613534*w + 0*w**2 - 3613566*w - 2*w**2. Calculate h(-16).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*n**2 + 206*n**2 - 102*n**2.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 6302*s + 378122. Calculate k(-60).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30*3\/7)\/6.\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 473582674 greater than 473582674?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 42*j**2 - 468*j + 12. What is o(11)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 4486.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_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: Let g be (-10)\/2 - -3 - 5. Suppose -c - 2*c - 43 = -5*p, 2*c + 3*p + 16 = 0. Let u = g - c. Solve 5*o = -2*t + 16 + 1, -u*t + 9 = 5*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 - 7*m + 5. Let f be h(6). Let a(z) = 6*z**3 + z**2 + z. Determine a(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express t**4 - t**2 + 10*t - 28*t - 2 + 18*t as r + o*t**2 + x*t + l*t**3 + j*t**4 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 78\/176 + 56\/((-6720)\/75)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002016 to 7 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*((j**(-2\/11)\/j)\/j)\/j)\/(j*j*j\/(j**0*j))*j*j**(-2\/7)*j*j*j**5*j)\/(j*j**(-3\/10)*j*j\/(j*j*j*j*j**(-2\/21)*j*j*j*j*j))**30 assuming j is positive.\nAnswer: j**(14682\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 4*j**2 - 5*j - 5. Let k be d(-5). Let t be (-5)\/(k\/(-2)) + 23. What is the highest common divisor of t and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + 11 - -4) + -22?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -396, -394, -392, -390?\n\"Answer: 2*g - 398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**2 + 3275*s + 310254. What is a(-101)?\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 421 + -42?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 0 - 60 = 18*d - 14*d, -341 = -d + 3*f - 366 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -48 in descending order.\nAnswer: 4, -2, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -48 + (30 - 6) + 22.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 + 11430*z + 20 - 64973*z.\nAnswer: -53543*z + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16*a**2*u**3 - a**2*u**2 - 22*a**2*u + 18*a**2 - 6*u**3 wrt u?\nAnswer: -96*a**2*u - 2*a**2 - 36*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 58 + 64 - 3545*w**2 - 1602*w**2 - 124 as y*w + j*w**2 + d and give j.\nAnswer: -5147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.7 - -1. Let c = y + -1.3. Let n be (-2230)\/34200*-9 + (-9)\/15. Which is bigger: n or c?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1*(((sqrt(80) - (3 + sqrt(80)))**2 - sqrt(80)) + 5) + ((-2 + sqrt(5) + sqrt(5))*1 + 5)*-1.\nAnswer: -6*sqrt(5) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**3 + 26*u**2 + 3*u - 2. Let h be v(-6). What is the greatest common factor of h and 220?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of 0*p**2 - 1\/90*p**6 + p**3 + 1\/30*p**5 + 7\/12*p**4 - 5 + 2*p. Factor l(u).\nAnswer: -u*(u - 6)*(u + 1)*(u + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.8 (b) 86 (c) 381\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -136*p - 33. Let g be v(-4). Let r(f) = -g*f**2 + 1542*f**2 - 517*f**2 - 510*f**2. Let s(k) = -5*k + 2*k - k. Give r(s(z)).\nAnswer: 64*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 67295454 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10856.41015 + 2.5.\nAnswer: -10853.91015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 PM and 11:47 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -7614a8 (base 12) in base 10?\nAnswer: -1868672","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2314093 + -0.5.\nAnswer: -0.2685907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/2 and 23\/425?\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of j**5\/20 - 5*j**4\/8 + 2*j**3 - 4*j**2. Factor c(k).\nAnswer: 3*(k - 4)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 301\/((-2210544)\/(-960)) + 3\/(54\/4).\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 2:15 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 9*t - 15. Suppose -l - 2*d - 2 = -11, -1 = -d. Does 12 divide o(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2326 rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*l + 50*l = -46*l - c + 166, 0 = -5*l + 2*c + 37 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 4. What is the derivative of 4*m + 2 - h + 0 wrt m?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 193 + 30. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001976808 rounded to six decimal places?\nAnswer: 0.000198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1797 is divided by 58.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 17. Let c(u) = t*u**2 + 4*u**3 + 3*u**3 - 2*u**3 - u - 3. Let l(k) = -11*k**3 - 15*k**2 + 3*k + 7. Let o(w) = 9*c(w) + 4*l(w). Factor o(r).\nAnswer: (r + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18486 - 18477. Which is the nearest to -0.2? (a) 5 (b) n (c) 0.4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -707, 5, 2\/7, 4, 2, 2\/121?\nAnswer: -707","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -291*j = -559*j. Solve 0*d**2 + j + 3\/4*d**3 + 0*d - 1\/4*d**4 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2370 and 4?\nAnswer: 9480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -5*u**3 + 105*u**2 + 2870*u - 6120 = 0.\nAnswer: -17, 2, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b**2\/2 + 510*b - 2000 = 0. What is b?\nAnswer: 4, 200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -15149011 (base 10) to base 3\nAnswer: -1001111122112111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 6:01 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-700)\/140*28*(-12)\/(-210).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20053?\nAnswer: 11, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m - 16*m + 10*m + 6*m.\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2*s - 4*s + 24 = 0, 3*z + 5*s - 22 = 0. Let m = 1 - 4. What is the third biggest value in m, -0.1, z?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 708121501?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3a1990 (base 13) in base 8?\nAnswer: 5264674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 387 and 225?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -320*a - 30 = -336*a + 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 48*z**3 - 2*z**2 - 1. Let v be h(2). Let q be 9 + 21\/3 + (6 - -1). Suppose 28*j - v = q*j. What is the highest common divisor of j and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 4035640109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 241285 is divided by 126?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8341273466?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 29\/9) + (-6 - -9)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vccoocvoc. Give prob of picking 2 v.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2055319?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 12*u + 146. Let g(x) = -9*x - 106. Let n(t) = 11*g(t) + 8*y(t). Let f(o) = 10*o - 6. Determine 3*f(r) + 8*n(r).\nAnswer: 6*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 22 - 18 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4304392756 from -2.4.\nAnswer: 4304392753.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5*(21\/3)\/105. Which is the fourth smallest value? (a) -0.5 (b) 3 (c) i (d) -602\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 352\/(-480) + 2\/6.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -74 in -2, -1, -0.07, -0.04?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -576 + 992. Suppose -g + 867 = -i. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12739864?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54568913.\nAnswer: 7, 7795559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.04 - 2.96. Let q be (-6)\/(21 + -3) + (-1)\/15. Which is the nearest to q? (a) -4 (b) -0.4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 3*s = -24, 4*f = 7*f - 5*s - 18. Calculate the highest common factor of 9 and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 8, s: 1, q: 11}. What is prob of picking 2 q and 1 s?\nAnswer: 11\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -1. Let i(b) = b + 7. Let q(r) = -i(r) - 2*o(r). Let z be q(-8). Suppose 0 = -z*t - 2*t + 10. Solve -t*n + 9 = w, 4*w - 13 = -w - 2*n for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 - (16 - 5 - (-19 + 45)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**7*m**(-5))**29 assuming m is positive.\nAnswer: m**58","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + -5160cca?\nAnswer: -5160ccd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 1 + sqrt(75) + (sqrt(9)\/(3*(sqrt(36)\/sqrt(12) + sqrt(3) - sqrt(3)) + sqrt(3)))**2.\nAnswer: 51\/16 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-188)\/3055)\/((33\/(-55)*4\/3)\/2)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 501\/18 - 23\/(-138). Calculate the greatest common divisor of k and 364.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 170*w**2 + 534*w wrt w?\nAnswer: 340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68 = 4*j - 2*z, j = 4*z + 2145 - 2128 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n**2 - 19*n - 11. Let s be j(7). Which is the second smallest value? (a) s (b) 21 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2141227\/9 + -237914. Solve -1\/9*o**2 - r + 2\/9*o = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*v - 407*v + 789883 + 2094782. Calculate the least common multiple of v and 15.\nAnswer: 34755","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, c: 3, z: 10, o: 4}. What is prob of sequence cu?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-35)\/(-28))\/(((-25)\/20)\/(-5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5879 - -5862.9. Sort p, 0.2, 4, -0.3, 3\/5 in descending order.\nAnswer: 4, 3\/5, 0.2, -0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.831*-0.2.\nAnswer: -0.5662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((0 + sqrt(2299))*1 + (sqrt(2299) - (sqrt(2299) + 1 - sqrt(2299) - sqrt(2299))) + 4)**2.\nAnswer: -103500 - 990*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(833) - -1*sqrt(833)) + -4 + (1*sqrt(833) - sqrt(833)) + sqrt(833) + 0 - ((sqrt(833) + -2 - sqrt(833))*-5 + 5))**2*-5.\nAnswer: -23940*sqrt(17) + 235740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 358521968 divided by 22407623\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -563596, -1127563, -1691530, -2255497, -2819464, -3383431?\n\"Answer: -563967*s + 371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4*(-2 - 0)\/(-4). Let t = s - -5. Let k = t + 4. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 47*g**2 - 15*g - 25. What is the tens digit of t(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1136985 and -4.\nAnswer: -1136989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -968 - 4*i**2 - 166 + 1271.\nAnswer: -4*i**2 + 137","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -4*n + n + 911, 5*n + 15 = 0. Suppose -14*g + 4 = -878. Calculate the remainder when a is divided by g.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(76) + (sqrt(76)*-2)**2)*4 - (4 + sqrt(76)*-2))*-1.\nAnswer: 24*sqrt(19) + 2424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + f**2 - 35. Suppose -6*j + 2*j = 0. Let v be q(j). Let r be 2\/7 + 329010\/v. What is r rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 359*v**2 + 3*v + v - 6*v - 448*v**2 to q*v + r*v**2 + x and give r.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/24 and -65\/2372.\nAnswer: 14232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*l + 1, 0 = -2*k + 3*l - 7. Let z be (4\/(-6))\/((-1)\/(-3)). Let c be z\/6*(-12)\/(-16). Is c <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -v - 2*l, 2*v + 0*v - l - 15 = 0. Solve 10 = f + v for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 20 = -5*v + 36, 2*r = 5*v + 4. What is the smallest common multiple of r and 7?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 38\/9, 0.5, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7, -3, -2, -1, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2, -4, -0.09, -2\/3, 0.044?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - 159*a + 766. Calculate p(154).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-64 - -59) + (13 - 1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 smaller than 2961\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 184, -28, 0.5, -8.\nAnswer: -28, -8, 0.5, 184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/16*2*2\/(-3). Let k = 6 - 10. What is the closest to q in 0.1, k, -0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/1247, -3, -1299, -0.1, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2 + (-6)\/4)*106 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37571416 divided by 4?\nAnswer: 9392854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 168939225 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 - 2.4192\nAnswer: -2.8192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1421, -806, -249, 250, 691, 1074, 1399?\n\"Answer: -29*i**2 + 702*i - 2094","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 30626 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -385294684 or -385294685?\nAnswer: -385294684","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = w + 6 + 3, 4*w = 4*u - 20. Suppose -2*x + 0*x + 4 = 0. Let a be (-6)\/(-4) - 1\/x. What is the greatest common factor of a and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-60)\/(-18) - 4)*-24. Suppose 5*x = -n + 321. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.81 + 1.834. Let x = l - -5.476. What is the second biggest value in x, -0.2, -0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of 0*j - 5\/6*j**3 - 33*j**2 - 9\/8*j**4 + 0. Let g(v) = -v**2. Calculate i(g(r)).\nAnswer: 27*r**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*x**3 - 18156504*x**2 + 20603628530820*x + 82414804627600 = 0. Calculate x.\nAnswer: -4, 2269565","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnnnd. Give prob of picking 1 d and 1 n.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five quarters of a litre?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/11))**(-43)*y**(2\/23)*y\/(y*((y*y\/(y\/(y\/y**(-2\/7)*y)))\/y)\/y))**(1\/13) assuming y is positive.\nAnswer: y**(-15969\/23023)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -36.08 - 0.797.\nAnswer: -36.877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**2 + 36*x + 178. What is s(-6)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from atnqmmc. What is prob of sequence tn?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72920 = -26*m - 19*m - 9155. Let c be ((-16)\/12)\/(4\/(-6)). Suppose 3*s + 2*s = c*r + 1422, -m = -5*s - 3*r. What are the prime factors of s?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -4*t + 47. Let w(z) = -67*z**2 - 3. Calculate v(w(s)).\nAnswer: 268*s**2 + 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 11*l = 36. Solve 8 = -6*r + l*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + 0 + (-12)\/(-1). Suppose h + 4*h = -y + 7, -3*y - j = -h. Let v be (-113994)\/(-3) + 0 + h. What is v rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5777893 and 509641?\nAnswer: 1177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by 230.\nAnswer: 11\/230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -9. Suppose n + 3 + 1 = 0. Let o be (-2)\/n - 9\/q. Solve 0 = -o*r + 10, 2*r = -5*s + 5*r - 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - 22*z**2 + 20*z - 80. Let i be m(-23). Which is the second smallest value? (a) i (b) 4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rh when two letters picked without replacement from rkh?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 + 14*d + 13. Give c(-10).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4929130099.\nAnswer: 4929130099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than 736073685325?\nAnswer: 736073685326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 + 23.1. What is the closest to m in -2, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of 0*g**2 + 3 - g + 1\/3*g**3. Let f(h) = 0. Calculate h.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -184 + 3494\/19. Sort a, 1.4, 1.\nAnswer: a, 1, 1.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 10) in base 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + 9*u**2 + 3*u + 20. Let q(k) = -k**2 - 8*k + 7. Let o be q(-8). Suppose t + 2*z = 6*z + o, 3*t - 2*z + 19 = 0. Let b be a(t). Is b at least -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 400344, 400343, 400342, 400341?\nAnswer: 400340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -3*t**3 + 3*t**2 - 2*t. Suppose 3*p + 6245 = 6251. Calculate q(p).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 - 3)*(3 - 6 + 0)*(5 + 8 - 11)*(-3 + 3 + 3*f) to the form g*f + b and give g.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 11888828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1102 (base 11) to base 7\nAnswer: -4145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1128145 + -4\nAnswer: 1128141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - 2*g. Let q be p(3). Let d be (31\/q)\/(4\/(-662)). Let o = -1722 - d. Calculate the common denominator of o and -11\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.8608 less than -4388?\nAnswer: -4417.8608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n - 8. Let y(q) be the second derivative of -1 + 0*q**2 + 0*q**3 - 13*q - 1\/4*q**4. Calculate y(g(o)).\nAnswer: -3*o**2 + 48*o - 192","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000016127767 rounded to six dps?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33919 by -2375.\nAnswer: 33919\/2375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - 3\/6*-2. Let g(x) = -1 - x**j - 16 + 0 - 8*x. Let w(l) = -4*l - 8. Let s(m) = -2*g(m) + 5*w(m). Determine p so that s(p) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 1349*q - 14819. Calculate i(11).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + 8*n + 5. Let j be d(-6). Let u = j + 11. Let l(r) = r**3 - 3*r**2 - 4*r + 5. What is the remainder when l(u) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.4 - 0.27. Let o = 4536.570015 - 4536.7. Let r = f + o. Round r to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86542 divided by -52?\nAnswer: -43271\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1124330233 - -2?\nAnswer: -1124330231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 766, 780, 776, 748, 690, 596, 460?\nAnswer: 276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*h**5\/11 + 3776*h**4\/11 - 81122*h**3\/11 + 28064*h**2\/11 + 81112*h\/11 - 31840\/11 = 0 for h.\nAnswer: -398, -1, 2\/5, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 458851 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/8 and 61\/205521152.\nAnswer: 205521152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -16*x + 7. Let c(w) = -81*w + 36. Determine 2*c(z) - 11*l(z).\nAnswer: 14*z - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 3 d when four letters picked without replacement from pdppbdppbbpbpd?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-184)\/138 + 15614\/6.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -27, -29, -7, 51, 157, 323, 561?\n\"Answer: 2*g**3 - 16*g - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -4*s - 162. Let c(j) = j**2 + 28*j - 28. Let l be c(s). Let x be (l\/10)\/(56\/140). Solve b = -b + x for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0589896222 - 29033\nAnswer: -29032.9410103778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1394, -2789, -4186, -5585?\nAnswer: -6986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5561, 23.\nAnswer: -5561, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 6. Suppose -r*n = -126 - 48. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16988154 divided by -1\nAnswer: -16988154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 127577363, 127577364, 127577365, 127577366, 127577367, 127577368?\nAnswer: 127577369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 2*k = 21, k - 35 = -5*o + 6*k. Solve -21 + 1 = o*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 - 353 = 61*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-4) - 665\/(-76). Suppose 0 = -4*d + v, 0 = m - d + 7. Does 18 divide 54 - m\/20*0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 7*j**2 - 27*j. Let q(d) be the first derivative of 5*d**3 - 55*d**2\/2 + 12466. What is 6*q(s) - 13*r(s)?\nAnswer: -s**2 + 21*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 707359*v - 707249*v = -9680 for v.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*y - 5*y - 30. Suppose -3*v - x + 3 = 0, -v + 9*x = 4*x + y. Suppose v = 8*l - 4*l + 20. Sort l, 3, -6 in increasing order.\nAnswer: -6, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (65 - 62) + 33 + -60?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 4666.\nAnswer: 27996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1152452*y**2 + 395291028*y + 2744.\nAnswer: -4*(y - 343)*(288113*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -19*s**3 + 2*s**2 - 1. Let b be g(-1). Let j be (b\/(-6))\/(18\/(-81)). Let a(h) = 2*h**2 + j*h - 10*h - 5*h. Let m(v) = -9*v. Calculate m(a(l)).\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + 2 + 404\/530. Let o = d + 2\/53. Sort o, 1\/10, 1 in ascending order.\nAnswer: o, 1\/10, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 101517 and 831?\nAnswer: 28120209","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-2)\/(b*b\/b**2)*(b*b**(-1))**38 assuming b is positive.\nAnswer: b**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 440*c**3*g + c**3*m**2 - c**3*m - 2*c*g*m - 51*c*m**2 - 2*g wrt c.\nAnswer: 2640*c*g + 6*c*m**2 - 6*c*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 5 + 8 + 16*c as q + z*c and give z.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4725 + 8683. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + o = 242254, 0*o + 96892 = -2*i - 2*o. Let w = 19845 + i. Let g = w + 19505. What is g rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 25 = -2*z + 5*n, -5*z = 4*n + 20. Solve -2\/5*y**2 + 4\/5*y + z = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -2*y + 31, k + 6 = y - 5. Solve y*w + 20 = 4*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*s**3 + s**2 + 2529*s - 369056 with respect to s.\nAnswer: -6*s**2 + 2*s + 2529","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(27) + sqrt(27) + (sqrt(108)*1)\/sqrt(4) + sqrt(27) + ((sqrt(960) - (sqrt(960) - (sqrt(960)*2 - sqrt(960))))\/sqrt(5))**2).\nAnswer: -768 - 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 6*p**2 - 13*p - 13. Let t be ((-42)\/(-3) + 2)*1. Let n = t - 10. Let f(o) = -3*o**2 + 6*o + 6. Suppose -1 = -2*s + 25. What is n*m(v) + s*f(v)?\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 155018 times 0.2?\nAnswer: 31003.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -2*r**3 - 1954*r**2 + 15778*r + 17730 = 0?\nAnswer: -985, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38811193?\nAnswer: 29, 1063, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -260 - -262. Let h(k) be the first derivative of -2\/11*k**q + 1 - 2\/33*k**3 - 2\/11*k. Factor h(m).\nAnswer: -2*(m + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -0*s + 16. Let i(f) be the third derivative of f**6\/120 + f**5\/20 + 2*f**3\/3 - f**2. Let o be i(-3). Solve o*v = -0*v + s for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z + 2. Suppose 4*r - 5 = -3*t + 1, r - 6 = -3*t. Let j be l(r). Factor -2\/3*h**j + 0 - 2\/3*h**4 + 0*h + 4\/3*h**3.\nAnswer: -2*h**2*(h - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*(b\/b**(2\/9))\/b*b**(3\/7)*b*b)\/((b**(-2\/9)\/b)\/(b*((((b*b**(-6)*b*b)\/b)\/b)\/b)\/b*b*b)))**(-34) assuming b is positive.\nAnswer: b**(-340\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -6*k - 4*k - 7*k + 10*k. Let t(m) = -5*m. What is r(t(s))?\nAnswer: 35*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1336\/132264 + 5\/(-9).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 366 + 368 + 368 - 1102 - 521*p**3.\nAnswer: -521*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8927467?\nAnswer: 59, 337, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + k = -6 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 224 and 490?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4310110 + -21441?\nAnswer: 4233114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -5 - 13. Calculate the remainder when (-21)\/(-42) + 134\/4 is divided by z*(-2 + 8\/6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z*z**2*z*z*z)))**1\/((z*z**(2\/3))\/z)**(1\/15))**(-2\/61) assuming z is positive.\nAnswer: z**(-536\/2745)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 881 is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pox when three letters picked without replacement from xjjopxxojooxfjox.\nAnswer: 5\/672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(500) - sqrt(60)\/(sqrt(24)\/sqrt(2)).\nAnswer: 29*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 41 - 14. Let p = 17 - s. Suppose -69 = -r + p. What is the highest common divisor of r and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 364 - 6623\/18. Calculate the common denominator of h and -44\/147.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, z: 2, c: 4, g: 1, l: 3}. What is prob of picking 2 c, 1 g, and 1 z?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.06 - -0.63. Let t = -0.03 - d. Suppose 22*g - 1255 = -1343. What is the nearest to g in t, -3\/7, -4\/11?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 24, 16, -1, 2\/5 in descending order.\nAnswer: 24, 16, 2\/5, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 152212, 304423, 456634, 608845, 761056?\nAnswer: 913267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + 25*p**2 - p + 32. What is y(25)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -56*m + 428. Let a be d(5). Solve 38*q = -80 - a for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -6*x**3 - 12*x**2 - 4*x + 1. What is the tens digit of s(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f*f\/(f**(-2\/9)\/f))\/f)**(-1))**(18\/5)\/((f\/(f\/(f*f\/f**(-7\/3))))\/(f\/(f**(-2\/13)\/f))*(f*f*f\/((f**0*f)\/f*f))**(-2\/9)) assuming f is positive.\nAnswer: f**(-7801\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {b: 2, f: 4}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 108933 - 73628. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23915845 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-3444)\/(-90) + -27 + (2 - 13)\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2036 and -392380?\nAnswer: 390344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -5*c - o, -4 = -0*c - 2*c - o. Let l = -6 + 8. Suppose l*y - 4*y = -q - 16, 2*q = y - 11. What is the remainder when y is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.08 (b) -20 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5986 at most 4994?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(5\/4))**(2\/89) assuming k is positive.\nAnswer: k**(5\/178)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1891280682?\nAnswer: 2, 3, 2381, 44129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.1 at most as big as 4075\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 12 = -2*h, -h - 1 = -p - 7. Let a be 9\/6*(-32)\/h. Let k = a - -32. What is the greatest common factor of k and 264?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1236, -2690, -4728, -7350, -10556, -14346?\nAnswer: -18720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 8:27 AM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 74*m**3 + 76*m**3 - 39*m - 148*m**3 + 2 to the form f*m**3 + t + g*m + u*m**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13 - -8783?\nAnswer: 8770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 154 + -2?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 23*m + 11. Let u be p(3). Let b = 82 - u. Factor 1\/3*d**b - 1 - 2\/3*d.\nAnswer: (d - 3)*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 6*g. Let p(f) be the third derivative of 0*f**4 + 0*f**3 + 7*f**2 + 0*f - 9 + 1\/5*f**5. Calculate x(p(k)).\nAnswer: 72*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 8 = j, -9*n = -6*n - 2*j + 13 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 614\/7 + -5498\/63. Let g = 6 - 4. Solve 2\/9*w**g - r*w + 0 = 0 for w.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1*d*d*d*d**(3\/2))**(-19\/6)*(d**(-10)*d**(-4\/9))**(-2\/59) assuming d is positive.\nAnswer: d**(-36241\/2124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = c + 23 - 5, -2*c = -5*f + 21. Let w(x) = x**3 - 7*x**2 + 17*x - 34. Let p be w(f). Let j(g) = 2 + 1 - 3*g - 4. Determine j(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/413, -3, 3, 2\/9, 2\/7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j. Let n(w) = -3*w**2. Calculate n(g(f)).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2560714 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 1\/4, -0.3, 0.3, -22.8619, 0, -1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 + 13. Let v = 11 + m. What is the third derivative of -79*h + 79*h - 5*h**6 + h**v wrt h?\nAnswer: -600*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4753578, -9507159, -14260740?\nAnswer: -19014321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*y + 3*y + 2*y + (4*y - 2*y - 4*y)*(0 - 1 + 2) - 12 + 12 + 2*y + (1 + 3 - 6)*(-3*y + 0*y + 5*y) - y + 4*y - 4*y + 2*y - 17 + 32 - 20.\nAnswer: -2*y - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of 1 + 0*i + 1\/2*i**2. Let k(s) = -17*s - 11. Let b(t) = 6*t + 4. Let o(p) = -11*b(p) - 4*k(p). What is q(o(j))?\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51706 (base 9) to base 7.\nAnswer: -201303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.6 plus -0.038315029383?\nAnswer: 39.561684970617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -280, -379, -492, -625, -784, -975?\n\"Answer: -m**3 - m**2 - 89*m - 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of -35\/24*f**4 - 3*f + 8*f**2 + 0 + 0*f**3. Let a(g) be the first derivative of g**3\/3 - 2. Calculate a(b(r)).\nAnswer: 1225*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-320)\/480)\/(24\/(-9))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -z**3\/4 + 155*z**2\/4 - 1558*z + 4332 = 0.\nAnswer: 3, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do 90 and 267879\/3004 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (323 - 323 + 31*g**4 + (-2*g + 3*g - 2*g)*(2*g**3 - 3*g**2 + 3*g**2))*(-2 - 1 + 1) to s + q*g**2 + r*g**4 + d*g**3 + v*g and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 342835000 rounded to the nearest one million?\nAnswer: 343000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 239bc6 (base 14) to base 12\nAnswer: 4a8996","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xexx when four letters picked without replacement from xttxxtttettxtttxxt.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 160488239 at most as big as 320976479\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16412575*q**2 - 11*q + 292488763.\nAnswer: 32825150*q - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47 and 122\/(-8)*5\/(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a + 40 = 16. Calculate the common denominator of a\/(-10) + (292\/80 - 3) and ((-73)\/(-5))\/((-4)\/2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-55 - -22) + 36)*184\/(-60)*-5.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -4*u + 162. Determine b(12).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 3:56 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (21 - 3 - 22) + (-120)\/(-26). Factor 12\/13*w**4 + 2\/13*w**5 + z*w + 24\/13*w**2 + 2*w**3 + 0.\nAnswer: 2*w*(w + 1)**2*(w + 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10749 is divided by 3101?\nAnswer: 1446","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123 = 10*r - 17. Solve -4*a + 3*a + 10 = 5*p, 2*a + 4*p - r = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9.36 - 9.46. Which is the second biggest value? (a) -1.4 (b) f (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v + 4. Let u be r(6). Suppose -u = -i - 3*i. Suppose i*z = 2*z + 52. Calculate the remainder when z is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 12:12 PM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, 83, 200, 315, 428?\nAnswer: 539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17471, -17754, -18057, -18374, -18699, -19026, -19349, -19662?\nAnswer: -19959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q - 4. Let r(w) = w + 4 + 5*w + 17. Suppose 0 = -3*j - 3*a - a + 45, -j - 3*a = -20. Let s be ((-3)\/6)\/((-2)\/8). What is j*u(k) + s*r(k)?\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -759365, -759369, -759369, -759365?\nAnswer: -759357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1005598.\nAnswer: 2, 11, 43, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 422\/7*(551\/(-38) - -18). Solve -44*n - 79 = -q for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18219 or 18221?\nAnswer: 18221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.18 * 11.\nAnswer: 1.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -9*c**2 + 2*c. Let k(j) = j**2 + j. Give 2*k(w) - z(w).\nAnswer: 11*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**3 - 3*a**2 - 11*a + 40. Determine k(3).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 3:21 PM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 337, -5\/2, -0.1, -3 in ascending order.\nAnswer: -3, -5\/2, -0.1, 337","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1245 - 376 = 66*u + 216 - 2185 for u.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (140\/(-14))\/(((-1)\/5)\/((-25)\/50)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/14*3*((-1456)\/120)\/26?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -174233.098 rounded to the nearest 10000?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1531 * 15856.7\nAnswer: -24276607.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1298 a factor of 28862328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 237414?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**(2\/9)\/s))\/s**3*(s\/s**(-1))\/(s*s*s*s\/(s\/(s\/(s**4*s)))))\/((s**(-2))**48*s**(-8)\/s**5) assuming s is positive.\nAnswer: s**(997\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -4, -12, -14, 11121 in decreasing order.\nAnswer: 11121, -4, -8, -12, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -93 by -7.\nAnswer: 93\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 + 4*x**2 + 11*x + 11. Let v be l(6). Solve 0 = v*h + a - 1, 0 = -6*h + h - 2*a - 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yeea when four letters picked without replacement from {m: 1, y: 1, a: 2, e: 3}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.02, 2\/5, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 9870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 - -1.2. Let a = 930 - 934. What is the nearest to -0.1 in a, l, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2895619 is divided by 52?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -836, -1000, -1178, -1376, -1600?\n\"Answer: -y**3 - y**2 - 154*y - 680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*1*sqrt(7) + -5)*-1.\nAnswer: 5 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3749 + 3752. What is the nearest to -17 in -0.3, t, 0.7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -6*p - 6. Let u(y) = 3 + 6*y + y - 4*y. Let w(g) = 4*o(g) + 9*u(g). What is the first derivative of w(i) wrt i?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - (10 + 5 - 5).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3 + 0)*(2 - 6 + 3)*(25*w**4 + 36*w**4 - 48*w**4) + (6*w**2 - w**2 - 4*w**2)*(2*w**2 + 3*w - 3*w) as d*w**4 + j*w**2 + a + c*w + i*w**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 423*t - 37. Let f(r) = 85*r - 7. What is -11*f(d) + 2*q(d)?\nAnswer: -89*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 1947 = -3*y, -5*j - 2*y + 6*y + 2426 = 0. Suppose 477*m = j*m - 108. Solve -2*h + 4*a = 2*h - m, -h - 5 = a for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 22.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 146*h - 6*h**2 - 146*h + 6 - 6 + h**2 + (2 - 2 + h)*(2*h + h - 2*h) in the form o*h**2 + x + c*h and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 - 3*j**2 + 2*j**2)*(-5*j + j + 2*j) + (4*j + 0*j - 5*j)*(-j - 10*j + 17*j)*(-2 + 11 - 5)*(-4*j + 3*j - 4*j).\nAnswer: 118*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 642102?\nAnswer: 642086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12324 - 106152 = -14*z. What is the hundreds digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*z = 30*z + 8633 - 983. List the prime factors of z.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -505455*g - 12447 = -505916*g for g.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 3*j - 3*q + 3 = 0, -7*j = 8*j + 5*q - 5 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -3 (b) -2 (c) -7790\/69 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q**2 - 9*q. Let l(c) = c**2 - 4*c. Let i(h) = 7*l(h) - 3*w(h). Let u be i(2). Let b be 8 + -2*(-3 + 4). Solve 2 = u*n + b for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.5, -0.4, 30, -0.09?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21431 - 1?\nAnswer: -21432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2 + sqrt(468) + -5.\nAnswer: -12 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -655670 divided by 120\nAnswer: -65567\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -8454*z**2 + 6*z. Let r(d) = 3*d. Give o(r(f)).\nAnswer: -76086*f**2 + 18*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0550748 to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1092, 1.5, 28, 4?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -239570 (base 14) in base 8?\nAnswer: -4510236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 1 - 7. Is 5\/l*(-88)\/10 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -f**5\/5 - 947*f**4\/5 + 36953*f**3\/5 - 93541*f**2 + 421240*f - 334900 = 0.\nAnswer: -985, 1, 10, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*v**3 + 2*v**3 - 119*v - 5*v**2 + 1 - 12*v**2 + 20*v**2 to the form o + i*v + q*v**2 + t*v**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 226406?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13 - 123?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 116730\/17 or 6865?\nAnswer: 116730\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2 + 2 - 4*u**2 - 5*u + 3*u**3 - 2*u**3. Let z be q(5). Find the second derivative of 3*b**4 + 3*b - b**z + 0*b wrt b.\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3281843906 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nmmnnwmndwmmmw. Give prob of sequence ndw.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 43751259*x + 762395423 wrt x.\nAnswer: 43751259","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -124*q + 85 - 211 + 106. Let r be z(-7). Suppose 5*i - 854 = 3*s - s, -s = 5*i - r. List the prime factors of i.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -9 + 9 - (2 - 6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/2 - 3\/2)*-2. Let 15*u**3 - 4 - 50*u + 20*u**b - 15*u + 34 = 0. What is u?\nAnswer: -3, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13771010 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1739807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25993038*b**3 + 2*b**2 + 72178016*b?\nAnswer: -155958228*b + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**2 + z**2 + 1 + 2 - 3*z**2 + 6*z**2 - z**2 + (2 + 2 - 5)*(-4*z**2 - z**2 + 3*z**2) - 3*z**2 + 2*z**2 + 6*z**2.\nAnswer: 11*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 7 (b) 9 (c) 0.06 (d) -2\/23 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6935144 = -267*m + 1226918 - 1831225. What are the prime factors of m?\nAnswer: 131, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x = x - 280. Which is the second biggest value? (a) x (b) -4\/3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2835904333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2650870?\nAnswer: 2, 5, 59, 4493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 1:02 AM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 42419 = 3*g - 0*g, -4*z = g + 14121. Let y = 24937 + g. What is y rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-7)\/(b*b*b\/((b**8\/b*b)\/b)*b))\/(b*((b\/b**(-8)*b)\/b)\/b*b*b\/b**8)*((b\/(b*b\/b**(-1\/4))*b)\/b)**2\/(b**(1\/3))**15 assuming b is positive.\nAnswer: b**(-29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {t: 7, w: 12}.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*h - 52*h - 140 = 0. Let a(c) = -2*c - 16. Let r be a(-9). Let w be (4\/5)\/(7\/h*r). Which is greater: -6 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 3*b**2 + 3*b - 3. Let v be a(-3). Let r = v - -17. Let l(p) = p**2 - 3*p - 5. What is the units digit of l(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5528 - 5522. Suppose 1 = f - 2. Find the second derivative of 5*z - 5*z**3 + 3 - v*z**f + 55*z**2 - 54*z**2 wrt z.\nAnswer: -66*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246800000 rounded to the nearest one million?\nAnswer: 247000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2*w = -83777, -3*l + 30*w - 33*w + 251319 = 0. Suppose -l = -11*i - 10*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -92757.3 to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = n - 4, -74 = -13*d - n - 70 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2 - 0.7. Let g = 64 - 16. Let c = g + -481\/10. Put a, 1\/3, c in decreasing order.\nAnswer: 1\/3, c, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g**3 + 14*g**2 - 11*g - 13. What is x(6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*k = 79*k - 224 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*t - 9*t**2 - 3 + 9*t**3 + 49*t**3 + 9*t**2 wrt t?\nAnswer: 348*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of 203*u**6\/6 - 370*u**2 + 2*u - 333. What is the derivative of r(w) wrt w?\nAnswer: 4060*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 413 - 414. Suppose -3*r - 7*w = -4*w + 3, 4*r + 3 = -3*w. Which is greater: k or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -839*q**3 + 548*q**2 - 3*q + 9. Let m(x) = -1676*x**3 + 1098*x**2 - 7*x + 21. Let r(n) = 3*m(n) - 7*z(n). What is the third derivative of r(b) wrt b?\nAnswer: 5070","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 183841, 183844, 183847, 183850?\nAnswer: 183853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 44048261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(1\/4))**41\/(j*j\/(j\/j**1)*j**0) assuming j is positive.\nAnswer: j**(197\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 34*s**2 - 3*s - 100. Let p be k(-34). Solve -2*l - 10 = p*u + 8, 5*l = -4*u - 41 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 254.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of j**5\/30 + j**4\/3 + j**3 + 2*j**2. Is 10 a factor of y(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*1\/2*-7\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 7*x + 11 + 5*x + 12 - x**2 + 7*x. What are the prime factors of u(16)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - 5*r**2 - 17*r + 10. Let j = -18879 + 18886. Calculate a(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 369 = 111*w - 369*w + 627 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kka when three letters picked without replacement from khzhahzzkzah?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -d**4 + 448401*d**3 + 3587273*d**2 - 448401*d - 3587272 = 0.\nAnswer: -8, -1, 1, 448409","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/684160 and -89\/85520.\nAnswer: 684160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.3 less than -3615.9484?\nAnswer: -3599.6484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -43*v - 9. Let u(x) = x + 1. Let z(k) = t(k) + 5*u(k). Let g be z(2). Is g >= -81?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 2*t = 495. Suppose -103*w = -t*w + 116. What is w rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 7:53 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1))**(-50) assuming p is positive.\nAnswer: p**50","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1)*p**0\/p)**(-6\/29)*(p\/p**1)**(-20\/11)*(p\/p**(1\/2)*p)**39 assuming p is positive.\nAnswer: p**(3417\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/56*(-136)\/34?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 308190600 rounded to the nearest one hundred thousand?\nAnswer: 308200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 58*a - 8. Let h(b) = 45*b - 6. Let j(u) = -4*h(u) + 3*x(u). Let k(t) = t. Give k(j(l)).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 21*y**2 + 23*y + 24. Suppose -24 = 2*r + 20. Let v be q(r). Suppose v*g - 186 = 2*a, 4*a + 417 = -0*g - 5*g. Which is smaller: a or -97?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95333 is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.5845 + 0.2845. Let h = -0.35 - -0.35. What is the closest to h in z, -5, -19\/4, -2\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(36)\/sqrt(2) + sqrt(18))*-2)\/(sqrt(81)\/(1*sqrt(729))).\nAnswer: 108*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 35375909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9767441 is divided by 3255808?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28975 - 1999210\/69. Find the common denominator of 59\/5 and b.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - 0.6317922.\nAnswer: -0.1317922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-2 - (5 + (-5 - 7))) + 4\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 169*h + 113*h - h + 123*h to q + z*h and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.14, 5, 1.8?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.436668 to 3 decimal places.\nAnswer: -0.437","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, s: 7, v: 2}. Give prob of sequence svsl.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7385 - 7381. Solve 0 = -5*p + f*w - 4, -3*p + 6*p + 8 = w for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -51\/5, 3, 0.1, 2 in descending order.\nAnswer: 3, 2, 0.1, -51\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of 1\/48*m**4 + 0 + 0*m**3 - 1\/8*m**2 + 4*m. Suppose l(b) = 0. What is b?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 133 + 38 + 35 + 37 + 61*h.\nAnswer: 61*h - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-38)\/133)\/(8\/(-84)). Calculate the lowest common multiple of (5\/y)\/((-10)\/(-60)) and 267.\nAnswer: 2670","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -17*g**3*r + 1996*g**3 + 438*g*r - 358*g - 9*r wrt r?\nAnswer: -17*g**3 + 438*g - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/5 in -5, 1, -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 4 = -5*y. Suppose w + y - 5 = 0. Let s = w + 8. Is 12 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(14)\/(sqrt(6)\/sqrt(3)*5).\nAnswer: -3*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 31 = 3*k + 2*a, 2*k = -4*a + 16. Suppose 0 = 5*r - 0*r - k. Find the third derivative of q**6 - 2*q**2 + q**r - 2*q**2 wrt q.\nAnswer: 120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 166752?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.6523723mm?\nAnswer: 0.0006523723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of 7*z**5\/120 + z**4\/24 + 7*z**3\/6 + z**2. Let s(f) be the first derivative of l(f). Differentiate s(o) with respect to o.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-54)\/405)\/(4\/18))\/((-30)\/1800)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 6419578*p**2 + 130318*p. Let g(k) = 5666*k**2 + 115*k. Determine -5*c(m) + 5666*g(m).\nAnswer: 5666*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -0.2, 48\/11, 2967?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.518 - -0.018. Let n = -1\/47 + 54\/329. Let w be 22\/30 - (-4)\/(-10). What is the second smallest value in w, u, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2121 divided by -431.\nAnswer: 2121\/431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -41 + 69. Let u = 48 + 35. What is the remainder when u is divided by f?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2341*p - 114737. Determine a(-49).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 418\/7 or 60?\nAnswer: 418\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n + 7. Let u = -2 + 1. Let a be (-8)\/(-8)*(-2)\/u. Suppose 0*y + a*y = 10. Determine j(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/630 and 113\/980?\nAnswer: 8820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 AM and 3:35 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203 + 678 = 5*j. Suppose -o - 16 = 5*v, 2*o + 8*v - 14*v = 32. What is the smallest common multiple of j and o?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -329 divided by -1.\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/9 + 3094*u\/9.\nAnswer: 2*u*(u + 1547)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 316, 606, 894, 1180?\nAnswer: 1464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 5*x = -d + 5, 4 = -2*d + 2*x for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2861*m**4*s**2 + 9*m**3*s**2 + 103*m + 36*s**2 wrt m?\nAnswer: 34332*m**2*s**2 + 54*m*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 34, 72, 124, 190, 270?\nAnswer: 364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p - 2209 - 453 = 0. Let r be ((-3276)\/(-165))\/3 + 44\/p. What is z in 9\/5*z**4 + r*z**3 - 4\/5 + 8\/5*z + 37\/5*z**2 = 0?\nAnswer: -2, -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b - 2*b + 6 + 10 = 5*t, -4*b + 26*t - 40 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 5. Let o be 0 + 7 + -3 - 1. Let d(w) = -w**2 + j*w - o*w. Let q(x) = x**2. Determine q(d(c)).\nAnswer: c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 77 + 55. Let i be (-1)\/(-4) - (-363)\/k. Let h be (i\/(-5))\/((-28)\/(-70)). Solve -h*a - 6 + 2 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + 15*r**2 - 42*r - 9. What is o(14)?\nAnswer: -401","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -584464 - 90234 = -2*c - 4*n, 0 = 3*c + 2*n - 1012015. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 19892*n - 99482. Determine p(5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3108933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21838 - 72638. What is l rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 10 = 3*w + 4*z, 0 = -w - 3*z - 10 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from keelhlwnelen. What is prob of sequence wnhk?\nAnswer: 1\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 27783 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: Sort -1, 1700, -15, 1, 88 in descending order.\nAnswer: 1700, 88, 1, -1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, u: 9, q: 4, y: 3}. What is prob of sequence iqyu?\nAnswer: 6\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134 is divided by 38.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19 in 23, 1, -2, -5?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.838 and -4.\nAnswer: 15.352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 23 = 4*g, 2*g + 0*g + 22 = -4*u. Let l(h) = h**2 + 12*h - 11. Let w be l(-9). What are the prime factors of w\/(-14) + (-2)\/u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -298 and 0.3.\nAnswer: -89.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 divided by -7?\nAnswer: 19\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 247 + 44 = 0. Suppose 31*q = h*q + 282. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 9*w + 6. Let d(q) = q. Let o(z) = -6*d(z) + p(z). Suppose -11 = -3*i - 50. Let j = i - -7. Let b(k) = 4*k + 7. What is j*o(l) + 5*b(l)?\nAnswer: 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 36276856*n**5 + 4*n**3 + 292052809*n**2 wrt n?\nAnswer: 2176611360*n**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 78*m**5*p - 4*m**4*p + m*p + 61*m - 11*p wrt m?\nAnswer: 1560*m**3*p - 48*m**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1373, -1, -0.3, 1\/5, -1.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 14?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.22 - -0.0024.\nAnswer: -0.2176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 - 6*o**2 - 6*o - 4. Let k be m(-5). Let l(j) = -j**2 + 15*j + 3*j + 0 - 3 - 9*j. Let d be l(8). Solve d*q = k - 6 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 427848*c**4 + 572783*c**2.\nAnswer: 10268352*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (3450\/(-14651) - (-10)\/65)\/(4\/(-14))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-0.04791.\nAnswer: -0.04791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssysssygsssssys. What is prob of picking 3 s and 1 g?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 73653 by 1080.\nAnswer: 24551\/360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5610 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 49 = 5*a, 27 = 3*h + 5*a - 1. Suppose 191 = 3*o - 172. What is the greatest common divisor of h and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.131 - -0.13755. Round d to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.08022393+-0.33\nAnswer: -0.24977607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - -4)\/3*(15 - 23). Let a be (u\/(-54))\/((-2)\/(-12)). Find t, given that 14\/9*t**2 - a*t**3 + 2\/3*t**4 + 0 - 4\/9*t = 0.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - 5 = 2*i + 3, 5*d + 5*i = -30. Let w(b) = -b - 1. Let j(q) = q**3 - 2*q**2 - 2*q - 5. Give d*j(x) - 2*w(x).\nAnswer: x**3 - 2*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6859.0531437 and -12?\nAnswer: 6847.0531437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/10 of a gram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, c: 2, p: 4}. Give prob of picking 3 p.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -70 - -36. Let d = -9 - o. Let q = 35 - d. Is q a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 370, 933, 1506, 2095, 2706, 3345?\nAnswer: 4018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14 and -25\/68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {g: 3, m: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41, -69, -93, -113, -129, -141?\nAnswer: -149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g + 3. Give q(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 5 = -4*w + 31, -5*o = 2*w - 19. Calculate the greatest common factor of w and 1106.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 h when three letters picked without replacement from rdxhxxdhxmmidxxddd.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -174 - -179. Suppose -u - 49 = -3*u - 3*b, -2*u - i*b = -55. Solve 0 = 4*m + m - u for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggippigpggpppggip. What is prob of sequence ppg?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 4*c = -88, -4*g + 58 = -5*c + 2*c. Suppose 0 = -8*j - 0 - g. Let o(l) = -3*l**2 - l + 1. Determine o(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 10:52 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 316 - 160. Is 28 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of d**3\/2 - d. Let w(s) = -3*s. Calculate 5*h(c) + 6*w(c).\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 294 - 12*z**2 - 800*z - 135 - 19 + 73 + 55.\nAnswer: -4*(z + 67)*(3*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -532.374 and 0.1.\nAnswer: -53.2374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1\/5 - 5\/(200\/(-12))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - s - 5*c = -15, -9 = 3*s - 3*c. Suppose -6*r + 10*r - 356 = s. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 9:08 AM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -5*p - 25. Let k be x(-5). Solve 3*t - 3 = -k*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28941, 231453, 781115, 1851501, 3616185, 6248741, 9922743?\nAnswer: 14811765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 225522133 and 131?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tqt when three letters picked without replacement from ttqeeq.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**4 - 2*m**4 - 5*m + 4*m - 5*m**4 + 2*m**4 + m**4 + (0*m**3 - m**3 + 2*m**3)*(-3*m + m + 3*m) - 97*m + 115*m - 38*m**4 + 27*m**4.\nAnswer: -14*m**4 + 17*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -3*q + 8*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 11288, 11294, 11300, 11306, 11312, 11318?\n\"Answer: 6*n + 11282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1856902 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7575*k + 5937*k - 3343*k + 7138*k)*(-3*k - 4*k + 3*k).\nAnswer: -69228*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4806 and 306.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (50 - (64 + -25 + -24))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/4*(-19)\/(-114)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = 5*c - 29, c + 5*u - 17876 = -17851 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 + -1 - -58 - 14.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 120 - -18. What are the prime factors of s?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 3*v**2 - v - 1. Let d(f) = 5*f**3 + 17*f**2 + 7*f - 3. Let c(s) = d(s) + 6*y(s). Give c(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that k**5\/7 - 4*k**4\/7 - 2*k**3\/7 + 12*k**2\/7 + 9*k\/7 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 PM and 3:51 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + 2*v**2 + 4*v - 1. Let g be f(3). Let l(c) = -6*c - 3 - c**3 + 12*c - 2*c**2 - 8*c. Let b be l(-3). Solve g*i - b = 5*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -495\/19 + 370812\/14231. Let g = -54665\/2996 - c. Let t = 2309\/2 + -11441\/10. Find the common denominator of t and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 + -24. Let i be 54\/24 + 3 - (-2)\/h. Solve 0 = i*l + 2*o - 18, 0*o = -o - 1 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1406970*j**2*z**2 - 2029356*j**2 + 2*j wrt z?\nAnswer: 2813940*j**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3921, -7844, -11771, -15702, -19637?\n\"Answer: -2*w**2 - 3917*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31152687 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6784\/30 + 6\/135*-3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 0*p + 4. Let o(l) = -2*l - 28. Let z be o(-12). Sort p, 3, z in increasing order.\nAnswer: z, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + -7. Suppose r = x*r - 210. What is the greatest common divisor of 14 and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2012 or 6.46?\nAnswer: 6.46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k**3 - 2*k**2 - k + 2. Let q be b(-2). Let r be (-3)\/(q\/(-272000))*1. Round r to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2034741 is divided by 467?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.3, -92, 4, -38?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4298664.7 and 0.1.\nAnswer: 4298664.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41 - -66. Let n = 37 - g. Calculate the remainder when 19 is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 8*s - 54. Let y be u(7). Which is the third smallest value? (a) 0.2 (b) y (c) -3 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**2 - 3*b**2 - b**2 - 280 + 280.\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 0*l = -5*j + 8, -3 = 3*j + 5*l. Suppose -j*d = -5*c + 1, 4*c - d = 1 + 2. Solve c = 3*g + 4*b - 0, 5*g + 3*b = -2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8023297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-15)\/9*6\/8. Which is bigger: y or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.31? (a) 0.1 (b) -0.3 (c) 5 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -249 + 235.7. Let k = l - -13.3115. Round k to three dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.008591068853 to 7 dps.\nAnswer: 0.0085911","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1016413 and 86?\nAnswer: -87411518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 1. Let l(b) = -3*b**3 - 2*b**2 - 2*b - 3. Let h be l(-2). Suppose -5*o - h = 8. Sort y, 3, o in increasing order.\nAnswer: o, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -194, 4, 3 in decreasing order.\nAnswer: 4, 3, -194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -52 + 3?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -4*f + 241, 3*a - 247 = -4*f - 0*f. Is 2 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2005?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -28, -20, 24, 92, 172, 252, 320?\n\"Answer: -2*h**3 + 30*h**2 - 68*h + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -95\/6 and 81 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 3:43 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -20, -89, -182, -281, -368, -425, -434?\n\"Answer: 3*m**3 - 30*m**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from gzgzg.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + w = 126. Suppose d + w = 5*l, -7*l + 57 = -2*l + d. What are the prime factors of (-3)\/(-9) - (-116)\/l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f - 5*q - 33, -5*f + 298*q - 140 = 299*q for f.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5013761, 10027521, 15041281, 20055041, 25068801?\n\"Answer: 5013760*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -z + 12. Let j(m) = z - 2*m - 6. Let u(x) = x. Calculate j(u(k)).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 224\/(-3)*(-783)\/12. Suppose -5*j = -f + 287. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 10:12 AM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fjwwsrz. What is prob of picking 2 w?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -0.4, 127\/352.\nAnswer: -0.4, 0.1, 127\/352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = z - 6, -z + 64 = 5*s. Let t be 21\/s*46\/57. Let c = -30\/19 + t. Which is smaller: c or 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-15) + 1)*55*88\/1452\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 32305765?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 8:58 AM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 8*d - 3*g - 98, 0 = -2*g + 4. What is the second derivative of -133 + 129 + 75*w**4 - 6*w - d*w**4 wrt w?\nAnswer: 588*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -0.04 (b) -0.2 (c) -0.5 (d) 3\/362 (e) 4 (f) 0.1 (g) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2877*q - 322077. What is u(-112)?\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -7*8114*(-39)\/78 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 537 + 439 = 180*q - 104 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*6\/4 + -1. Let s = 110 - 94.7. Let m = s + -15. Which is the closest to 2\/7? (a) m (b) -2\/5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 3*p + 48 = 0, 166 - 305 + 171 = 59*v - 2*p for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**13\/o*o*o**(1\/4)*o*o*o)\/((o*o\/(o*o*o\/(o**(2\/19)\/o)*o))\/(o*o*(o**11\/o)\/o*o)))**(-42))**29 assuming o is positive.\nAnswer: o**(-1487787\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6923 and 208636?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24507\/2 + -12257. What is the closest to -2\/5 in 1\/3, -15, y, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 + -1 - 3\/(-3). Let g be 34\/(-12) + (-6)\/(-18). Is g less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 62 + -33. Suppose -5*t - 3*w - w + y = 0, -3*t + 5*w + 47 = 0. Calculate the smallest common multiple of (-39)\/(-15) + 4\/10 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -17*u**3 + 5*u**2. Let r(y) = -17*y**3 + 6*y**2. Calculate 5*r(s) - 6*v(s).\nAnswer: 17*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - z = 5 + 12, -3*j - 2*z = -5. Suppose -2*w - 2*f + 8 + 20 = 0, 3*w - j*f - 24 = 0. Calculate the highest common divisor of 33 and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6.13763366952 and -149.\nAnswer: -155.13763366952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-56)*-12)\/((-1)\/(-5))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*r - 80185 = -85049 for r.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bfybf. Give prob of sequence bff.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/18 and 73\/2106.\nAnswer: 2106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a**2 - a**4 + a**3 + 4*a**3 + 2*a**3 - 5*a**3 to c*a**4 + f*a + w*a**3 + s*a**2 + v and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = 6*s - 73. Let f be (s + (2 - 1))*(-38 - -15). Is f smaller than 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -i**2 - 143*i + 61*i**4 + 292*i**4 - 84*i**4 wrt i.\nAnswer: 6456*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*(-24)\/16 - 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -77 (b) -2\/23 (c) 0.6 (d) 2\/9 (e) 378\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6812132*c**4 - 5*c - 23975514?\nAnswer: 81745584*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -x + 3, 13*x - 8*x + 30 = -4*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 412 is divided by 147?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.5, -19\/5, -4, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 3, -4, -17.7, 0.07, 0.5, 1\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 690*r - 2069*r - 235*r**2 + 689*r + 688*r - 190*r**2 + 21.\nAnswer: -425*r**2 - 2*r + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26 - 10 - (11 - -17)) + 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.024 + 23.024. Let h = 22.99 - k. Let z = h + 0.00999977. Round z to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -40\/9 and 25\/436.\nAnswer: 3924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 142, 508, 1092, 1894, 2914, 4152, 5608?\n\"Answer: 109*y**2 + 39*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 418213 and 113.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 13 = -63. Let j be (5\/b)\/(2\/(-10)). Differentiate 3*q - j - 7 + 2 wrt q.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1712.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -877*l - 26852 = 1041*l for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 59629573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert b072 (base 14) to base 3.\nAnswer: 1112112122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1756?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12427856 and 10.\nAnswer: -124278560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 7:12 AM?\nAnswer: 11:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/5 + (-216)\/(-15). Suppose o = -3*t + 6*t. Suppose -t*i = -0*i. Solve 5*a - 4*u + 3*u - 8 = i, 5*u = 2*a + 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12291, -11071, -9851, -8631, -7411, -6191?\nAnswer: -4971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u + 4*u - u. Let t(l) be the third derivative of -1\/20*l**5 + 0*l**4 + 0*l**3 - 15*l**2 + 0*l + 0. Calculate t(i(r)).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1210 - 1?\nAnswer: -1211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -343 (base 5) in base 12?\nAnswer: -82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44 - 22. What are the prime factors of w?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5163 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + 3 + -15 + 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -3*l**2 + 16*l + 8507. Determine i(56).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2750032 and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 8*q**2 + 20*q - 2. Let n be m(10). Which is the closest to 1? (a) -6 (b) 2\/13 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*p - 7 - 4*p + 11*p**4 + 12*p**4 - 21*p**4 + 2*p**2 + 2*p**3 + 3 to the form d*p + j*p**2 + u + f*p**4 + o*p**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17\/((-1105)\/39)*(-325)\/(-13).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 8*t - 1 - t - t. Let c be w(1). Let u be 19\/4 - (-2)\/8. Is u != c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3175?\nAnswer: 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -628, -907, -1186, -1465?\nAnswer: -1744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 6*i - 552 = -2*i, -4*c - 2*i - 438 = 0. Let y = c - -278. Calculate the greatest common factor of y and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 306?\nAnswer: 306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8b + -5?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20579, -20603, -20641, -20699, -20783, -20899, -21053, -21251?\nAnswer: -21499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of 1033*k**5\/60 + 3*k**4\/8 - 11*k**3\/6 + 1325*k**2. Find the second derivative of s(i) wrt i.\nAnswer: 2066","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -3) + -1 + (-1 - -7)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18.4934 - 0.3766. Let h = m - -17.8. Let f = 0.07 + h. Which is the biggest value? (a) -0.2 (b) f (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -1592*v**2. Let j(u) = 13*u**2. What is j(g(z))?\nAnswer: 32948032*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) -1 (c) -0.8 (d) 491\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 5*w**2 - 5*w + 2. Suppose 2*a = 3*a - 4. Let q(r) = 0*r**2 - 1 + 6*r**2 - 5*r**2 - 3*r. Let i be q(a). Give z(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.16 - 5.16. Let o = t + 4.6. Let a = -292\/63 + 34\/7. Sort 1, o, a.\nAnswer: o, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2988?\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2264876302 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000100 + 11110101010111100100?\nAnswer: 11110101011000101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 23120 - 110*w**4 + 9*w**5 + 31640*w**2 + 475*w**4 + 10706*w**3 - w**5 - 3*w**5 + 47600*w - 3186*w**3 = 0.\nAnswer: -34, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2809343 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 323, 2269, 7437, 17435, 33871, 58353, 92489?\n\"Answer: 268*t**3 + 3*t**2 + 61*t - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/11, -3\/16, -1\/4, -11 in ascending order.\nAnswer: -11, -1\/4, -3\/16, 6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 19.5 (b) -25 (c) -1\/15 (d) 53\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of c**9\/168 - c**5\/20 - 2*c**2 + 3*c. Let v(r) be the first derivative of s(r). Find the third derivative of v(j) wrt j.\nAnswer: 360*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191752218 a multiple of 798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0729617 rounded to three decimal places?\nAnswer: -0.073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of -w**6\/120 + w**5\/15 + 11*w**4\/24 + w**3\/2 + 1250*w**2. Calculate y(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -13?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 6. Let o be ((-4)\/(-10))\/((-27)\/(-15)). Let x = 634 + -633.9. What is the nearest to x in u, 2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 4:04 PM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 48488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**3 - k**3 + 3*k**3 + (k**2 - k**2 + 4*k**2)*(k - 4 + 4) + 6*k**3 - k**3 - 3*k**3 + (4*k - 4*k + 2*k**2)*(0*k + 0*k + 2*k).\nAnswer: 11*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -285 by -5.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1607 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -113015, -226030, -339045, -452060?\nAnswer: -565075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2107 - -2109. Solve 7 + 4 = 2*a - 3*h, -4*h = j*a - 4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**(-2\/3)*v))**7\/(v**4\/(v**17\/v)) assuming v is positive.\nAnswer: v**(29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l = -24, 8 = 68*f - 64*f + 2*l for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 100265*h**4 + 8*h**3 - 5057*h**2 - 2008 wrt h.\nAnswer: 2406360*h + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -34*m**2. Let u(q) = 51*q + 16*q - 101*q. Determine u(h(c)).\nAnswer: 1156*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 - 2*i - 9. Let v be t(5). Let k be 6 + v*((-2)\/1)\/4. Suppose -k*q = -4*q + 82. Is q a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 2135*d - 2140*d - 25 = 0, 0 = 49*c - 45*c - 19*d - 20 + 2 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/6389336 and -97\/1344.\nAnswer: 1073408448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-5)\/(-20)*-10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**2 + 2*b - 6. Let d(y) = 3*y**2 + 3*y - 9. Let o(k) = 5*d(k) - 7*z(k). Let t be 30\/(-8) + 1\/(-4). What is the units digit of o(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-36259 + 5527 - 47871 - 53243 - 51808 + 2538)*(5 + v - 5) as i + a*v and give a.\nAnswer: -181116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(2 - (2 - (-1)\/(-1))). Solve 4*o - 1 = -2*k - 9, 5*k - 20 = q for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 3*k - 4. Let h be -1 + (-3 + k)*-3. Put -0.2, -5, h in increasing order.\nAnswer: -5, -0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1187605 and 0.3.\nAnswer: -356281.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.93 - -4.93. What is the smallest value in -4\/9, 5, l?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1225152015.\nAnswer: 3, 5, 19, 4298779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(32\/(-1))*2904\/363)\/(4\/536)\nAnswer: 67\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a second in milliseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, -4\/47, 1\/22?\nAnswer: -4\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/7 (b) 2\/5 (c) -1 (d) 99 (e) -145\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {x: 3, p: 1, h: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q. Let l(r) = -43*r - 2. Give l(a(c)).\nAnswer: 43*c - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -38\/3 (b) -10 (c) 0.4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3 and 1402?\nAnswer: 1405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 - -0.3. Let t = 0.06 + 5.94. Let k = -8 + t. What is the closest to v in -0.4, 4, k?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*f**3*g**2*h + 7*f**3*g*h - 6*f**3 - 6*f**2 - 2*f*g**2 - 2*f*h wrt g.\nAnswer: 10*f**3*g*h + 7*f**3*h - 4*f*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.19 rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s. Let i(b) = 17*b + 9. Let t(j) = 6*j - 1. Let g(d) = -5*d + 1. Let v(q) = 7*g(q) + 6*t(q). Let p(y) = 4*i(y) - 36*v(y). Determine p(k(o)).\nAnswer: -32*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 + 61. Suppose g = -4*o + 66, -o - 2*o = 3*g - 45. Calculate the remainder when s is divided by o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33*m + 30 - 70*m + 36*m to the form g + o*m and give g.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ugw when three letters picked without replacement from {s: 1, g: 1, u: 1, k: 1, w: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a minute in milliseconds?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -47 from 10003502.\nAnswer: 10003549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5757674 minutes in milliseconds?\nAnswer: 34546.044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-3) - (-6)\/(-9). Sort 7, 2, j in increasing order.\nAnswer: j, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*f = 21 + 7 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(-2\/3)*q))**(6\/17) assuming q is positive.\nAnswer: q**(4\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2 - 2 + 3 - 2 + r. Let f(l) = l**3 - 7*l**2 + 4*l - 12. Let z be f(6). Let v = z - -19. Give m(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 7*f + q + 398, 95 = f + 2*q. Suppose f*s - 95*s = 1748. What is the hundreds digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m, 0*q + q = 3*m + 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 370585 divided by 74117\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1027247, -1027245, -1027241, -1027235?\nAnswer: -1027227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 245 - 54. Suppose -x - u = -748. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**3 + 381*y**2 - 12285*y + 11907 = 0. What is y?\nAnswer: 1, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6284 by -4.\nAnswer: -1571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2115?\nAnswer: 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 496.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of -z**6\/10 + 3*z**5\/4 - 3*z**4\/2 - 2*z**3 + 12*z**2 - 27*z. Let b(d) = 0. What is d?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 5*g - 1. Let z be v(-4). Let j be z\/(-20)*(-16)\/(-18). Which is the nearest to 0.1? (a) -5 (b) 3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -219, -7, 8, -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -224043 (base 6) to base 2.\nAnswer: -100101001011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-1*sqrt(117) + -4 + 1*sqrt(117) - (3 + (-4*3*sqrt(91))\/sqrt(7)).\nAnswer: -7 + 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 45495*f**5*x**2 - 3*f**5*x - 2*f**2*x + 6187*f*x**2 - f wrt f?\nAnswer: 2729700*f**2*x**2 - 180*f**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1001 - -2102020?\nAnswer: 2101014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-20))\/(4\/(-20))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = 8*x + 3*h - 22, 0 = -3*x - 2*h + 23. Suppose -4*z + l = -190, 5*l - 63 = -z - x. What is the least common multiple of 1 and z?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5944710 a multiple of 145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in -10\/7, -1\/4, 3\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.7 - -17.3.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7\/3 in -0.4, -28, -0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(1\/5)\/(l\/(l\/((l*l**(-4)*l)\/l)))*l**(-1\/3)\/(l**(-21)\/l) assuming l is positive.\nAnswer: l**(373\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 230 + 476 - 3698 = 210*d + 6668 for d.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1642.3 - -3?\nAnswer: -1639.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-56)\/3*7\/(70\/(-15)). Is (-5264)\/(-6) + (d\/(-21) - -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - 4*x + 1. Let s(c) be the first derivative of c**2\/2 - c - 4. Calculate r(w) + 2*s(w).\nAnswer: -w**2 - 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 0*t - 6*t**3)*(2*t + 5 - 5)*(9*t - 6 + 9*t - 21*t).\nAnswer: 36*t**5 + 72*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - q + 0 - 5 = 0, -3*q = 10*u - 36*u - 14 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7438331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 7 - (-9 + 8 + 0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -502.\nAnswer: 200.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 462792661?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-47)\/846)\/(2\/8)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -6*m**2. Let d(v) = -16*v**2 + 4. Suppose 0 = -4*r + 12, 1 + 4 = -g + r. Let u(x) = -48*x**2 + 14. Let t(s) = g*u(s) + 7*d(s). Calculate t(o(z)).\nAnswer: -576*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -754310 rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17784 divided by -684.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1071 + 1070.237. Let d = 0.383 + o. Which is the biggest value? (a) -2\/15 (b) -2\/9 (c) d\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 pppptptpppppip.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6152.\nAnswer: 2, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 34442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 1001110011111010001100?\nAnswer: 1001110011111010001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (sqrt(7) - (sqrt(252)*3 + sqrt(7))) - (sqrt(14)\/(sqrt(12)\/sqrt(6)) + sqrt(7)))*1 + 0.\nAnswer: 17*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 975?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1080 is divided by 373?\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 2*s - 5, -11 = -7*f + 6*f + 4*s. Suppose 0 = l + a - 203, 4*l - 797 = -4*a + f*a. What is the remainder when l is divided by 50?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 8877, 17745, 26605, 35457, 44301, 53137?\n\"Answer: -4*y**2 + 8880*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1016616733 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*((r\/(r*r**38*r))\/r)\/r)\/r**(-9\/8)*r\/(r\/(r*r**17))*r*r*r**(-29) assuming r is positive.\nAnswer: r**(-383\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w - 4*q = 11*w - 32, 5*w - 3 = 2*q - 4*q + 13 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 94, -269776 in increasing order.\nAnswer: -269776, 0, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*p**3*s + 974*p**3 + p**2*s + 12*p*s + p - s wrt p?\nAnswer: 12*s + 5844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 6*z - z, -3*k - 1044 = 2*z. Let a = 581 + k. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*d + d, 5*d + 46 = 3*k. What is the greatest common factor of k and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 5:40 PM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1111983 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 392*c**2 - c. Let s be d(-1). Suppose s - 69 = 4*b. What is the tens digit of b\/7 - (-18)\/42?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900) + ((-1*sqrt(1900) - sqrt(1900)) + sqrt(1900) - sqrt(1900) - sqrt(1900)))**2 + ((sqrt(475))**2 + sqrt(19))*-3.\nAnswer: -3*sqrt(19) + 6175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9.9891 - -0.0109. Let t = 6.83 - -0.17. Let s = t - d. Which is the smallest value? (a) 2 (b) s (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 l, and 1 e when three letters picked without replacement from eeszsselzm.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 5. Suppose d - 5*p + p - 75 = 0, 0 = -j*p. What is the highest common factor of 30 and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 1:42 PM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 z when three letters picked without replacement from zgnroorooznov?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -28*l + 3. Let y(k) = -19*k + 2. Let v(x) = 2*x**3 + x**2 + 7. Let h be v(0). Let f(q) = h*y(q) - 5*o(q). What is f(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-15)*26\/((-1924)\/(-185))*22\/(-2)?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1300997 + -841001. Suppose -k - 2*k = 5*a + 575003, 4*a + x = 4*k. Round a to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -179642.9 and -1?\nAnswer: 179642.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(216)*-3)\/(-2*sqrt(648) + sqrt(648)))**2 + -4.\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of x**7\/42 + x**6\/30 - 10*x. Suppose d(m) = 0. Calculate m.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence unsr when four letters picked without replacement from uuuspsrhruhhrsuhsnr?\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -424736800 to the nearest one million.\nAnswer: -425000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29\/102 + -2\/17. Let w(o) = o**3 - 7*o**2 - o + 10. Let j be w(7). Let b = 3 - j. Which is smaller: b or u?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32176.\nAnswer: 2, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-72)\/480)\/(144\/60)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*-2*-1*(sqrt(65) + sqrt(65)*2))\/(-3*(sqrt(5) + sqrt(20)\/sqrt(4)) + (sqrt(320) - (-3*sqrt(320) - sqrt(320))) + sqrt(5)))**2.\nAnswer: 468\/1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -m - 53. Suppose 0 = -j + 3, -m*q = 4*j - 2*j - 73614. Suppose -5*u = -5*z - 11662 - 80328, -q = z + u. Round z to the nearest one thousand.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -47, -87, -113, -119, -99, -47, 43, 177?\n\"Answer: u**3 + u**2 - 50*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 12, 8*a - 60 = -5*b + 3*a. Suppose -9*k + 7*k + 6 = 0. What is the common denominator of -49\/4 and (-3)\/k - (-37)\/b?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + g - 5 - 2 = 0, -4*g + 31 = 5*a. Solve a*q = -l - 15, -2*l + 5 = -q + l for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21230411 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 665*c + 4241*c**5 - 660*c + 83 + 95 wrt c?\nAnswer: 84820*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (77\/14 + 6)*12. Let p = 178 - w. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1130 - 1127. What is the lowest common multiple of a and 414?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**3 - 7*j**2 - 12*j - 5. Let w be z(-3). Let k(v) = -4*v + 3. Let d(q) = -19*q + 16. Calculate w*k(f) - 4*d(f).\nAnswer: -12*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 2 - (6 + (-1 - 8)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 216? (a) 4 (b) -3 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 35, 139, 311, 551, 859, 1235?\n\"Answer: 34*g**2 + 2*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 915*v - 43 - 462*v - 458*v to the form c + m*v and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6217.605 centuries in decades?\nAnswer: 62176.05","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -10*j**3 + 1. Let r be x(-1). Let w(d) = -d**2 - 13*d - 21. Let g be w(-10). Which is bigger: r or g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 11652*r. Let q(p) = -5*p. Give q(y(b)).\nAnswer: -58260*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 4:11 PM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3841*g = -1189*g - 182988 for g.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from {b: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x - 16. Let z(v) = 6*v**2 + 3*v + 3*v**2 + 69 - 17*v**2 + v**2 + 5*v**2. Let c be z(7). Determine n(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f + 250 = -35*f. Let v = -7615\/16252 + -4\/239. Let c = v + 4\/17. Sort 1\/2, f, c in decreasing order.\nAnswer: 1\/2, c, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 943.196 meters?\nAnswer: 943196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - 3*d**2 - d + 2. Let u be y(-2). What is the units digit of -2*(42\/(-4) + u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1069*-2260.7.\nAnswer: 241.66883","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -91*i + 140 + 679 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 34626870?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-2)*(0 + 0)*26\/(-234). What is the smallest value in -44, 1, 2\/3, 4, g?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1197, -1207, -1229, -1269, -1333?\n\"Answer: -g**3 - 3*g - 1193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvv when three letters picked without replacement from {v: 3, l: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 3*r + 8. Let h(b) be the first derivative of 6 + b + 1\/2*b**2. Let g(f) = -4*h(f) + y(f). Differentiate g(u) wrt u.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 202122101?\nAnswer: -202122021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - (85902\/(-52))\/103?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 170 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/16046592 and 49\/1860?\nAnswer: 80232960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of -17*n**3\/3 + 770. Let p(f) = -14*f. Give p(q(w)).\nAnswer: 238*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -993744.283 rounded to the nearest ten thousand?\nAnswer: -990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 281.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-18) - (-3)\/(-108). Suppose -4 - 3 = -s. Suppose s*q = 2*q - 5. Is d equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of d**6\/160 + 21*d**5\/80 + 39*d**4\/32 + 19*d**3\/8 - 98*d**2. Solve y(p) = 0.\nAnswer: -19, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*r**2 - 2*r**3 - 17*r**2 + 19*r**2.\nAnswer: -2*r**3 - 35*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -333031301 (base 4) to base 11.\nAnswer: -1675a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -8*h + 10. Let d(z) = -5*z + 7. What is -7*d(v) + 5*u(v)?\nAnswer: -5*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2377, -2372, -2341, -2266, -2129, -1912?\nAnswer: -1597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-19)\/20)\/(219\/((-142788)\/163))?\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 63714?\nAnswer: 63714","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 18952 (base 10) to base 8\nAnswer: 45010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2*r**3\/5 - 178*r**2 + 19256*r\/5 + 65832\/5 = 0.\nAnswer: -3, 26, 422","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 i when two letters picked without replacement from ppppppppipppp.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 + 4*j + 4. Let o be f(5). Let w(m) = -m. Let x be w(o). Suppose -17 = -4*h + 4*r + 3, 2*h = -5*r - 4. Put h, -2, x in descending order.\nAnswer: h, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 - 4*r**2 + 4*r - 14. Let v be q(4). Let t be v\/2 - 6\/(210\/55). Let i = 36\/95 + -30\/19. Which is the nearest to -2? (a) i (b) 2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 7*r**2 + 9*r + 20. Let b be j(-6). Suppose -w = s, -40 = -4*w + w + 5*s. Suppose w*v + 20 = 5*z, -2*z - b = 3*v + 15. Is -2\/29 bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + 9)*(-6)\/7. Let o(b) = -b - 6. Let p be o(s). Suppose p*a + 5*a - 40 = 0. Does 4 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 72 - 64. Suppose a = -w + 9. Sort -2, w, -3, 0 in increasing order.\nAnswer: -3, -2, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - -2) + 2 + 0 + -1. Suppose 8*o - 3*o + 15 = 0, r*o + 24 = 2*f. Suppose 0*p - 18 = -f*p. Solve 0 = 4*x - 20, -u + p*x = 3*x - 10 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 78, 49, 2, -63, -146, -247, -366?\n\"Answer: -9*b**2 - 2*b + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 2*t + 2 = 0, 2 = 2*d + d - 4*t for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -20*z - 85 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-32)\/(-14) + 2\/(-7). Suppose -c*m + 3*m = 0. Solve -4*f + 27 - 11 = m for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 176*g - 1773 + 1713 - 344*g + 167*g.\nAnswer: -g - 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -703 - 887. Let f = k + 357. Solve -7 = -8*z - f for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 18 = -7*f - 3*t, t + 10 = -5*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14926?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 1:37 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/186*(-1 - -3). Let j = z + 2097\/310. What is the common denominator of 3 + (-2)\/(28\/18) and j?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2931, 12099, 27401, 48855, 76479?\n\"Answer: 3*z**3 + 3049*z**2 - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -5, 171, -1\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5573360.\nAnswer: 2, 5, 13, 23, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -700 + 706 + (674\/(-134) - -2 - 3).\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + b - b)*(84*b**2 + 378*b**2 + 219*b**2).\nAnswer: -681*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3*t + 81. Let g be k(0). Suppose -3*z + g = l, 4*l = -5*z - 0*l + 135. Calculate the remainder when (0 - -1) + (-2 - -107) is divided by z.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 + 2*p**2 + 1. Let m(v) = 7*v**3 - 4*v**2 + 4. Determine -m(w) + 4*x(w).\nAnswer: -11*w**3 + 12*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 13*h**3 + h**2 + 5*h - 4. Is o(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uvv when three letters picked without replacement from {u: 2, y: 6, c: 3, v: 2}?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -33101 (base 7) to base 5\nAnswer: -231112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - -2)*1 + -3616. Let d(y) = -14657*y + 30. Let t be d(2). Let b = v + t. What is b rounded to the nearest one thousand?\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 + 2*l**2 - 2*l**2)*(-l + 3*l - l)*((l + 5*l - 4*l)*(3 - 2 - 3) + 0 + l + 0 + (92*l + 4513 - 4513)*(3 + 1 - 3)).\nAnswer: 178*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.979 - -3.689. Let p = 2.7297067 + -0.0168367. Let w = p - z. What is w rounded to four decimal places?\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 5 + 23. Let n = t - -10. Let r be -3*(-4)\/(-24)*-4. Put n, 3, r in descending order.\nAnswer: n, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/19)\/h**0)\/(h**(1\/3))**(-11\/4) assuming h is positive.\nAnswer: h**(185\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/10 - 41\/2. Let s = w + 27. Suppose s*n - 4*n - 198 = 0. Is 22 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 6324\nAnswer: 1\/3162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1709, -6783, -15239, -27077, -42297, -60899, -82883?\nAnswer: -108249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/282 and (((-104)\/8)\/(-78) + 0)\/((-54)\/230).\nAnswer: 7614","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25 - 16 - j**2 + 48 + 7*j - 3 - 2*j**4 + 2*j**3 to q*j**4 + s*j + k + m*j**2 + b*j**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(3\/4) - (13 + -5). Let x be 2\/7 + (-44)\/7. Is 2586\/4*g\/x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 16, b + 436 + 1583 = 5*u. Suppose -5*r - u = -18*r. Is r a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from ohhzzzhzzzzzozz.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -2*o + 23768, 3803*c = 3805*c - o - 11876. Is 36 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -28550, -28551, -28560, -28583, -28626, -28695, -28796?\n\"Answer: -p**3 + 2*p**2 - 28551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 3*z**3 - z**2 - 4. Let o be a(-3). Suppose 3*p = -d + 550, 2*p + d + 85 = 452. Let i = o + p. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -20*f**4 + 103 - 17*f**4 + 71*f**4 - 22*f**4 + 67 - 3*f**3 wrt f?\nAnswer: 48*f**3 - 9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 2*o = 16, 131*o - 127*o - 6 = 3*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 290108162?\nAnswer: 2, 17, 8532593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*n + 11466 = -5*n. Is 47 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 6) in base 2?\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*g - 318 = 13*g. What is the greatest common factor of g and 456?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a - 10. Let d be s(-6). Let c(h) = 5*h**2 - 13*h**d + 4*h**2. Let x(v) = 3*v. Give c(x(j)).\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 96.7 (b) -0.2 (c) 0 (d) 0.2 (e) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -182, -344?\nAnswer: -506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42 and 72198.\nAnswer: 72198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1)\/q)**(-13))**(-1\/21)*((q*q**(2\/7))**33)**(16\/5) assuming q is positive.\nAnswer: q**(2018\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/5*30\/(-3). Suppose -2*q = -t*q. Let n(v) = -v**2 + v + 1. Let p be n(q). What is the greatest common divisor of 7 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3*z + 1. Let i(m) = 2*m - 1. Let x be (4\/(-8))\/((-1)\/102). Suppose -o = 2*o + x. Let u = 24 + o. Determine u*i(j) + 5*p(j).\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 181930 - 1245674712\/6847. Is -0.1 at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41*r**2 - 620 + 308 + 312 to the form s*r + c + l*r**2 and give l.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (-10 + 17)) + 27 + 1.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110001011111 + -11001?\nAnswer: -110001111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1814593.\nAnswer: 11, 164963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30 + 27. Let i be (-8)\/(-15) + 1\/h + 1. Find z, given that -2\/5 - 6\/5*z**2 - 2\/5*z**3 - i*z = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 132 and 572.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2. Let n = 13 + 1. Suppose -4*l - n = -2. Let j(c) = c**2. Let x(z) = l*j(z) - v(z). Differentiate x(a) with respect to a.\nAnswer: -6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2252 = 868*m + 718 - 761 + 2131 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6159*t**3 + 4640*t**3 + 8843*t**3 + 16952*t**3 - 8542*t**3.\nAnswer: 28052*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {a: 1, k: 3, c: 11}.\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4032340 + 20?\nAnswer: 4032410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5554 + -0.44.\nAnswer: -5554.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2688) - -5*sqrt(2688)*2)\/(-5*-4*sqrt(42)\/sqrt(7)).\nAnswer: 22*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.85339 rounded to 1 dp?\nAnswer: 63.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37433 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -57*j**2 + 1033*j + 16 - 2088*j + 1054*j in the form n + h*j**2 + g*j and give h.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2749 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2*z + 16 = 0, -z = 2*z + 6. Suppose -h*x + 75 = 2*k - 85, -x = -3*k + 240. Calculate the lowest common multiple of k and 70.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/(-4))\/((-6)\/(-32)*2). Let d be 16\/28*(5 + i). Let g = 7 - 7.3. Put g, 0.4, d in increasing order.\nAnswer: g, 0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 506720 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-one fifths of a milligram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2054*q**2 - 4795*q + 33. Let m(w) = 1027*w**2 - 2397*w + 18. Let p(c) = 6*b(c) - 11*m(c). What is the second derivative of p(u) wrt u?\nAnswer: 2054","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -934 - -939. Which is the biggest value? (a) -9 (b) z (c) 2\/11 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.8 + 7.8. Let i = n + 24. Let z = i - 29.36. What is z rounded to two decimal places?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v**3 - 4 + 8*v + v**2 + 80*v**4 + 4 - 82*v**4 to w*v**3 + n + j*v**4 + b*v + g*v**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -2*w + 1, 920*f + 2*w = 919*f + 7 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 4*z - 2*o + 393, -5*o - 321 = -4*z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -2*j + 4, 2*j - 4*j = -5*c. Let m be 1\/4 + 2\/(-8). Suppose m = -s + 6*s - 10. Solve 0 = s*w - 0 - c for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 12*j**2 - 12*j + 14. Let t be f(11). Put t, -4, -5 in increasing order.\nAnswer: -5, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 8*t**2 - 4*t + 13. Let b be x(7). Let g = 40 - b. What is the third derivative of g*z**3 + 22 - 22 + 9*z**2 wrt z?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -457506 or -457507?\nAnswer: -457507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -80, -167, -284, -437, -632?\nAnswer: -875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 129 - 126. Is b smaller than 25\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 5*z**3 - 3*z**2 + 3*z. Let i(n) = -3*n**3 + 2*n**2 - 2*n. Let f(t) = -5*b(t) - 7*i(t). What is f(2)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-4 - -3)\/(8\/(-5464))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-4 + (-1 + sqrt(252) - sqrt(7))) - (-5 + sqrt(343)*2*5)**2) + -4.\nAnswer: -34354 + 725*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(432)\/sqrt(8))\/sqrt(3))*1.\nAnswer: -1 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 3 + (3 - 5) + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 381.6618 days in hours?\nAnswer: 9159.8832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 453 a factor of 2397351198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 4*s**2 - 2*s + 1. Let p be u(3). Let m be 8\/(-104) + 2\/26. Suppose -p*x - 3*x = m. Solve x = 2*y + 2 + 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 847694899, 847694900, 847694901, 847694902, 847694903, 847694904?\n\"Answer: l + 847694898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -202557190 != -202557189?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75260 divided by -212.\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 608459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - q + 2697 = 2731, 3*q - 6 = 0. Which is smaller: u or -0.269?\nAnswer: -0.269","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3358, -3649, -4150, -4873, -5830?\nAnswer: -7033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3ce4c2 + 0?\nAnswer: 3ce4c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 12*z + 22. Suppose 2*d = 2*t - 8, -2*d = 3*d - 3*t + 12. What is the least common multiple of n(d) and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 582023 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 988 a factor of 2457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.176 rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 34\/6 - (-5)\/15. Let c be (7 + -2)*h\/(-5). Let r(o) = -o**2 - 7*o - 7. What is r(c)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -2 + 9 + -1 + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*i*k**3*q**2 + 2*i*k**3 - i*k**2*q - 16*i*k*q**2 + 2*i*q - 85*i + 2*k**3*q**2 - 3*q wrt q?\nAnswer: 26*i*k**3 - 32*i*k + 4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37 + -34. Solve d*i - 15 = -2*q - 2*i, 2*q + 2*i - 6 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -5, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, r: 1, u: 1, l: 1, w: 1}. Give prob of picking 3 q and 1 w.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20478 by -327.\nAnswer: 6826\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 880787?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(-3 + 3*s - 2 + 4).\nAnswer: 3*s - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -0.1, -11569, -0.4, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25*8\/(-20)*25\/10*(-1)\/5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.046, 1.3, 5 in decreasing order.\nAnswer: 5, 1.3, -0.046","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/13, -1, 1 in decreasing order.\nAnswer: 1, 1\/13, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 1618826*x - 1618826*x - 95*x**3 - 22 as k + j*x**2 + f*x + l*x**3 and give l.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*r**2 - 174*r**2 - 226*r**2 - 80*r**2.\nAnswer: -407*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 47495 and 22540?\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 - 53*g - 30 + 251*g.\nAnswer: 198*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -10*o**2 + o. Let b(y) = 25*y**2 + 30*y**2 - 76*y**2 + 22*y**2. Determine -6*b(f) - c(f).\nAnswer: 4*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7194655um in centimeters?\nAnswer: 0.00007194655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 24 = 4*o - 2*y, 5*y + 43 = 3*o. Let n(k) = 53 - 53 - o*k. Let r(q) = q. Calculate n(r(f)).\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 12 and 351800.4986.\nAnswer: 351812.4986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of d**2\/2 + 2*d - 15. Let f be l(-1). Solve 5*i - 20 = 4*g, -f = 3*i + g - 13 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28.41 + -28. Let z = i + 4.59. Let w = -10.6 + z. Round w to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 773\/5 + -154. Which is the biggest value? (a) -1.8 (b) s (c) 5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2135 divided by 427\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/2)*x)\/x*((x\/x**15)\/x*x)\/x*x assuming x is positive.\nAnswer: x**(-27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5caa9 (base 14) in base 7?\nAnswer: 1634102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 194 = -s - 377, -3*o = 4*s - 566. List the prime factors of o.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4413 rounded to two decimal places?\nAnswer: -0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -287985785\/468 + 615354. Calculate the common denominator of l and -76\/21.\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 150?\nAnswer: 1\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 18*s**2 - 11*s - 14. Let d(u) = -2*u**2 + u + 1. Calculate -10*d(n) - i(n).\nAnswer: 2*n**2 + n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d - 36. Let t be p(15). Let c = 9 + t. Solve c*j = w, 0*j - 5 = j - 2*w for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 2*w + 30, -7*w = -2*w. Is 9\/c*354\/9 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/(-4))\/(44785\/848 - 53). Let g = 16 - 6. Solve h*u - 26 = -g for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 9:42 AM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirteen quarters of a century?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**2 - b + 11. Is 46 a factor of j(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.14 (b) 0.21 (c) 0 (d) -19.3 (e) 1.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -2) + -4 + -7 + 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + 19*n + 18. Let t be w(-18). Suppose -12*p = -t*p + 72. Let d = 22 + p. Calculate the remainder when 28 is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1540236 divided by 3469\nAnswer: -444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*a**2 - 18339989 + 18339989.\nAnswer: 32*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -755790 divided by -6195\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 563451\/17 or 33144?\nAnswer: 33144","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-96)\/9)\/(-2))\/((12\/20)\/((-1152)\/640)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v - 7. Suppose -z = 3*p - 95, 3*z - p + 28 = 343. Suppose -106*q - 8 = -z*q. What is m(q)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 5*l - 40, -g + 3*l = g + 21. What are the prime factors of (-14)\/((g + 0)\/3)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.02, -19, 1.\nAnswer: -19, -4, 0.02, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 3 = 9. Let j = -5.5 + 6. Let c = -0.2 + -0.3. What is the biggest value in j, r, c?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2454103?\nAnswer: 17, 241, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + -113003?\nAnswer: -113013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 701 + -697. Suppose g = -0*n + 3*n + 16, 0 = 3*g - 4*n - 28. What is the greatest common divisor of g and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 6:11 PM?\nAnswer: 5:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 28284869277 from -0.26.\nAnswer: -28284869277.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000300735222 to five decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*c*d**3 - 2*c*d**2 + 2*c*f + c - 56*d**3*f - 1651*d*f - 2*d wrt d.\nAnswer: 48*c*d - 4*c - 336*d*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*i - a + 116 = -12*i, 0 = -4*i - 2*a + 88. Calculate the smallest common multiple of 5 and i.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/46 and (-2)\/(-22)*13\/(-1).\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -56*s + 173*s - 61*s - 58*s - 227 to h*s + l and give l.\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 693021.2 meters in centimeters?\nAnswer: 69302120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 3 (c) 0.2 (d) -2\/129\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9982 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 230695870 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a century in months?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - (-3 - 0)) + 3. Suppose -12 = g - r*g. Is 3 at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 15*r**2 + 15*r - 26. Let t(f) = f**3 + 14*f**2 + 15*f - 25. Let z(x) = 5*k(x) - 4*t(x). Let m be z(-18). Solve 4*g - m + 4 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*j + 4 + 5 - 13 + 17*j - 2 in the form c*j + o and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 203 + -203. Let y(l) = -3*l**3 + 3*l**2 + 4*l + 5. Let d = 51 - 53. Let r be y(d). Do r and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002924 to 4 dps.\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 25 = -5*y, -2*x - 3*y = -0*x - 15. Suppose -6*w + 40 = -w. Suppose x*l - w = -4*l. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*d - 28 + 85. Let j(s) be the first derivative of 3\/8*s**2 - 3\/2*s + d + 1\/4*s**3. Determine b, given that j(b) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**3*d**3 + 6*b**3*d - 591*b*d**3 + 262*d**2 wrt d.\nAnswer: -6*b**3 - 3546*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 + -11. Let y = -4 + u. Does 3 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*(z*z\/(z*(z*(z\/z**(1\/10)*z)\/z)\/z))\/z*z\/(z\/(z\/((z\/z**(3\/2)*z)\/z))))\/(z**(-7)\/(z*z\/z**9)) assuming z is positive.\nAnswer: z**(13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 3*t - 7. Let l be v(5). Suppose -6*f - l = -7*f. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/s**3*s*s**(-17))\/(s**(3\/7))**(16\/7))**0 assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = h + 2 - 3, 2*h = -2*d - 4. Let z = 400 - 398. Solve -d*x + z = -1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - p = 23302, -4*p + 13886 = -i + 37194. What is i rounded to the nearest one thousand?\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -16 - 2. Let w = m - 3. List the prime factors of w.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10\/(-4)*((-608)\/20)\/2.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 25980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -309, 1 in decreasing order.\nAnswer: 1, -5, -309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 456665038 to the nearest integer?\nAnswer: 770","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -115716?\nAnswer: 1\/28929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - n - 2453 + 670, w + 4*n - 905 = 0. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 100*d**4*g**2 - 1352*d*g**2 + 216729*g**2 with respect to d.\nAnswer: 400*d**3*g**2 - 1352*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-3)*((-4)\/7*-1 - (-24934)\/590744)\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 - (5 + 11\/((-11)\/4)). Let l be 1 - (-2 + 0)\/(-2). Suppose l*x = 4*x + 24. Which is smaller: a or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 44303, 178236, 401797, 714986?\n\"Answer: 44814*v**2 - 509*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -94*t - 560 - 726 + 1004 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, 4, 3, 205.\nAnswer: 3, 4, 42, 205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 166 - 98. Suppose -s = 7*b - 2*b - j, -s = -b + 10. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -9. Let d be (u\/18)\/(1\/(-162)). What is the tens digit of (104\/(-3))\/(54\/d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -4*g**4 - 10193264*g**3 - 6493914435856*g**2 = 0.\nAnswer: -1274158, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 7 + -71 + (7 + -9 - 5 - -9)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13\/124932 or 1?\nAnswer: -13\/124932","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of 0*k**3 + 5*k + 0*k**2 + 3 - 25\/12*k**4. Let r(j) = -4*j**2. What is n(r(u))?\nAnswer: -400*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 13 + 3 + -9 + -1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 73786 = 2*g, 136*f + 6*g = 141*f - 123014. What are the prime factors of f?\nAnswer: 2, 7, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -112, -121, -136, -157?\nAnswer: -184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d + 4 - 4)*(3*d + 3*d - 3*d)*(253 + 53 - 79).\nAnswer: 2724*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7604484 is divided by 707.\nAnswer: 699","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**4 - 2*g**3 + 21*g**2 - 2. Let k(n) = -n**3 - 1. Let r(l) = -a(l) + 2*k(l). Find the third derivative of r(f) wrt f.\nAnswer: -24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 4*f - 9161, 52*g - 5*f + 18322 = 54*g. What are the prime factors of g?\nAnswer: 9161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -116740.59 to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 1 = -2*k, 4*k = -28*u + 26*u + 38. Suppose 4*s + 24 = k*s. Solve -4*p + 5*y = s*y + 13, -y - 3 = -p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -53*i - 7. Determine h(2).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 519.\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z. Let v(n) = -218*n**2. Give v(l(d)).\nAnswer: -872*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 3*j - 95. Let i = j - 43. Sort 4, 12, i in descending order.\nAnswer: 12, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 33120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-3))\/4*120\/(-16)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2124 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -3 + (-60 - -109)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5\/((-50)\/8))\/((-5)\/25). Suppose -l*u = 4*u - 664. What is the remainder when u is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9993 + -10002. Sort 3, o, 0.3, -5, 17 in descending order.\nAnswer: 17, 3, 0.3, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + s**2 + 2*s - 24. Let f be n(8). Let v = f + -565. Let c(p) = -p**2 + 3*p + 3. Determine c(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*u - 4*u. Let q(t) = 2767*t**3 - 2*t + 2. Is q(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62240545 > 62240545?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -207522 (base 8) in base 12?\nAnswer: -34242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 7 - 7*y - y**2 + y - 3. Suppose 21*r = 16*r - 335. Let u = 61 + r. Calculate b(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = g - 19, 4*f - 5 = -2*g + 5*f for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36 + -13. Suppose -3*w - w - 68 = 0. Let t = w + v. What is the lowest common multiple of 12 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 15452 - -72?\nAnswer: 15534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8 and -45.9514.\nAnswer: 367.6112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/(-8))\/((-48)\/(-448)) + -1. Suppose -5*b + s*b - 9 = -2*j, 12 = j + 2*b. What is the highest common factor of 1 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -7\/32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4643699?\nAnswer: 43, 79, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47997, -95973, -143949, -191925, -239901, -287877?\nAnswer: -335853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15860611?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1756 + -1751. Let p = -28 + 27. What is the nearest to p in -2\/13, u, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1914 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/4)\/(1432\/(-480) + 3).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10.15 - 30.7. Round v to 1 decimal place.\nAnswer: -20.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2. Let s(l) = -41*l - 5. Let a(p) = -20*p - 3. Let b(d) = -5*a(d) + 3*s(d). Determine b(h(n)).\nAnswer: -23*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 738320\/43 or 17171?\nAnswer: 738320\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-75819601.\nAnswer: -7581960.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -709674 bigger than -709557?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-33)*(-1)\/(-2).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-888 + 912 - (40 - -1))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11320405002 + -1?\nAnswer: 11320405001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28485, -28484, -28483, -28482, -28481?\nAnswer: -28480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 AM and 7:00 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 9*f**2 + 9*f - 8. Calculate the smallest common multiple of v(1) and 15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 7*g + 26656106 = 0. Suppose 0 = -2*n - 1128053 + g. Round n to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.73 and 54?\nAnswer: 54.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5996?\nAnswer: 2, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 - x - 1. Suppose 3*p + 7 = 4*w, 14 = 26*w - 21*w - 2*p. Let d(r) = -6*r**2 - 4*r - 4. Calculate w*m(s) - d(s).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, -2, 0, -6, 174 in ascending order.\nAnswer: -27, -6, -2, 0, 174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2647553793 and -47.\nAnswer: -2647553840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 7 = 11*d. Is (d - -7)\/(-2 + 7024\/3508) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20834 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: Let f = -1.6 - -2. Put 2, f, 1 in increasing order.\nAnswer: f, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 + 0*u**2 + u**2)*(u**2 - 2 + 3 + 1) - u**4 - 2*u**4 + 6*u**4.\nAnswer: 5*u**4 + 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-3)*15\/40?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 + 69. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g - 2. Let q = -2 - -11. What is the units digit of d(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13068 is divided by 73?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1146217506 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nhnnhhhhkhhhnnnnnnn. What is prob of picking 4 n?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 620933*d**3*o + 35114593*d**3 - 19*o wrt o.\nAnswer: 620933*d**3 - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -s - j - 26, -48 = -4*s + 4*j. Solve s = -6*z - 10 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.42 (b) 274 (c) -1\/5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -5*g - 4*l, -2*l - l + 15 = 3*g. Suppose 4*k = 28 + 32. Suppose 0*j - j = -3. Solve 5*v + 2 = j*d, 5*d + v - k = g for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*y + 10. Let c(s) = s**3 - 4*s**2 + 3*s - 1. Give c(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9439441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/2, 0.08, 16\/3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -46 + 1 - (1368\/(-532) + 24\/(-7))\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -7793, 530 in ascending order.\nAnswer: -7793, 0, 530","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5962012801 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d**3\/5 + 48*d**2 + 2880*d - 172800 = 0. What is d?\nAnswer: -60, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4553999931)\/(-18))\/(-23) + 1\/(-6). Round v to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24 is divided by 19?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 93.71 - 93.91. Which is the third biggest value? (a) m (b) 2\/7 (c) -0.3 (d) -46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13247 and 2080?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 1 - 13 = 2*g, -3*g + j + 3 = 0. Let k = 183 + -51. Suppose g*l + 3*l - k = 0. Calculate the remainder when l is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1608 and 12.\nAnswer: 1608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-120460)\/(-8))\/19*(-29)\/10. Let o(d) = -1139*d + 1. Let k be o(-2). Let v = g + k. Calculate the common denominator of v and -85\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*1*sqrt(65) - sqrt(65))\/(sqrt(5) - sqrt(270)\/sqrt(6)).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 5*t = -10, -6*y = -t - 80 + 110 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44306.\nAnswer: 2, 22153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59144?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = 6*n + 72 - 75 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 210\/7*(-2)\/5. Let m be (4 - y)\/4 - 4. Let d(j) = 4*j**3 + 23*j**2 - 6*j + 2. Let l be d(-6). Solve m = 4*w + 6 - l for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 - 9 = -4*c + 3*h, -3*c - h = -37. Calculate the smallest common multiple of c and 29.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 349, 109, -133, -377?\n\"Answer: -z**2 - 237*z + 587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -22 divided by -33702\nAnswer: 11\/16851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/2))**(-42)\/(b**(-2\/11)*((b*b\/(b**(2\/3)*b*b*b*b))\/b)\/b))**(-4\/9) assuming b is positive.\nAnswer: b**(-3412\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hd when two letters picked without replacement from xhhxhgghgghdhdhddg.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of -r**4\/12 + 3*r**2 + 206. Let u(c) = 74*c**2 + 3*c - c - 2*c. Calculate b(u(h)).\nAnswer: -148*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**2 - 27670*v + 82965.\nAnswer: 5*(v - 5531)*(v - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 31\/5 of a meter?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a**2 - 332*a - 13576. What is d(-92)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*o**4 + 4 - 4 + 35*o**2 + 2*o**5 wrt o?\nAnswer: 120*o**2 + 144*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 856 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -740, -731, -720, -707?\nAnswer: -692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 957.\nAnswer: 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -33215.8 and 142130.\nAnswer: 108914.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17430*q**3*u + 815*q**2*u - 3*q**2 - 2*q*u - 2*q wrt q.\nAnswer: -104580*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*q + q - 224. Solve -2*w + q = 8 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6476*c**3*n - 17691*c**3 - n**3 wrt n?\nAnswer: 6476*c**3 - 3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1268*k*z - 1269*k - 73*z - 1420 wrt k?\nAnswer: 1268*z - 1269","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/m**(-2\/11))\/(m\/(m*m\/(m\/(m*(m**11\/m)\/m)*m))))**49\/((m**(-3\/5))**(-2\/23))**49 assuming m is positive.\nAnswer: m**(689871\/1265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of -b**6\/150 - 127*b**5\/25 + 21*b**2 + 2*b + 11. Factor n(a).\nAnswer: -4*a**2*(a + 381)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -9, 1, -49 in decreasing order.\nAnswer: 1, 0.3, -9, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14286?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of -k**7\/1155 + k**6\/220 + 2*k**5\/165 - 91*k**2 + 2. Find h, given that j(h) = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18800894 + 2.\nAnswer: 18800896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39668?\nAnswer: 2, 47, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (702\/(-42))\/(2019\/4711).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 14 + 43*c**2 + 2.\nAnswer: 43*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -5 - 7*y**2 + 0*y**2 + 2*y**2 + 5*y + 4*y**2. What is n(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 6*m**2 + 6*m + 10. Let f be w(7). Let h(u) = 2*u - 3. Let p(i) = 2*i - 2. Give f*p(r) - 2*h(r).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l + 0*l = 0. Suppose 5*t + l*t + 130 = 0. Which is bigger: t or -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 4050 = 3*d - 732, 5*d = 4*x + 6380. What is x rounded to the nearest 100?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4223472 * -0.2.\nAnswer: -844694.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8436361 or 8436375?\nAnswer: 8436375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1585178813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 12*o**2 + 3*o - 328. Calculate d(-8).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1291, 2629, 3983, 5347, 6715?\n\"Answer: -s**3 + 14*s**2 + 1303*s - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -3*x**2 - 693*x + 15455. Let z(c) = -c**2 - 173*c + 3863. Let g(h) = 6*o(h) - 22*z(h). Factor g(j).\nAnswer: 4*(j - 44)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (1*sqrt(250)*3)\/(sqrt(450)\/sqrt(10))*1*-3.\nAnswer: -15*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express l + 38185*l**2 - 38134*l**2 + 5*l**4 - 3*l**4 in the form p*l**2 + a*l**4 + o + v*l + k*l**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*t**3 - 2*t**3 + 5*t**3)*(0*t + t + 0*t) + (4*t - 4*t - 2*t**2)*(-43*t + 43*t - 175*t**2) to the form v*t**3 + f*t**4 + a*t**2 + d + y*t and give f.\nAnswer: 359","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 4*o + 1635, 2*i - 4*o = -717 - 373. Is i bigger than -545?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*x**2 - x.\nAnswer: -x*(28*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4*x - 4 = 6, z - 4*x = -1. Suppose 3*i - 16 = -2*i - z*m, 3*i = -5*m. Let k(g) = -2*g - 2. Determine k(i).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.35 plus 102941950.987?\nAnswer: 102941949.637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of 11*s + 0*s**3 + 0*s**2 - 1\/35*s**5 - 1\/42*s**4 - 1\/105*s**6 + 0. Factor v(l).\nAnswer: -2*l**2*(l + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 12:59 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 3*r. Let q be k(2). Let a = 73 - 75. Let f be a + (1 - q\/(-2)). Solve -11 = -4*x + 2*o + 1, 2*x + o = -f for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 78778 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -67, -207, -473, -907, -1551?\nAnswer: -2447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10200111200 (base 3) in base 14?\nAnswer: 1c616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2613)\/60970)\/((-18)\/(-8)).\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 6 + 493*a - 496*a - a**3 - 8 - 4*a**2. Let r be (2 + -1)\/(1\/(-4)). Calculate d(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -11*v - 48. What is the remainder when a(-7) is divided by 23?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + 4\/144*291. Let a = v + -34\/3. Is a greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -3*n**5 - 12*n**4 + 66*n**3 + 12*n**2 - 63*n = 0?\nAnswer: -7, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2583 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) - (-1 + sqrt(38)\/sqrt(2)) - (sqrt(228)\/(sqrt(12)*3))**2.\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2539 * 8.\nAnswer: -2.0312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f**2*m**3 + 4*f**2 - f*m - 21*f + 12990*m**3 + 2*m**2 wrt m.\nAnswer: 12*f**2 + 77940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffp when three letters picked without replacement from ffkykfpkfssf.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/10)*t**(-2))\/(t**(-2\/21)*t*(t\/(t*t**(-1)*t*t))\/t) assuming t is positive.\nAnswer: t**(-211\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/140 and 13\/30.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**2)\/((((y**(-1\/5)\/y)\/y)\/y)\/y))\/(y**(-2)\/y*y*y**6)*(y**2*y*y\/(y\/(y**(-2\/9)*y)))**32 assuming y is positive.\nAnswer: y**(5584\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -37*o. Let n(m) = 6*m**2 - 2. Determine z(n(v)).\nAnswer: -222*v**2 + 74","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196*i + 40 = 206*i - 5*f, 0 = -3*i + 3*f + 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-15) + (-1298)\/10. Let z = -65 - b. Suppose a = 6*a - z. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1159 + 1 + 2 + -3. Suppose 5*v - 8469 = -4*i, 0 = 4*v + i + m - 7932. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1081*q - 1108*q + 2127*q.\nAnswer: -62*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of -3*f**5\/10 + f**4\/2 - 6*f - 5. Let w(j) be the first derivative of n(j). What is the third derivative of w(a) wrt a?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 15 = -2*c. Let u(m) = m**3 + 5*m**2 + 2*m + 6. Let o be u(c). What is the tens digit of (-28)\/(-3)*(-6)\/o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3278, 5, 7, -5, 58 in descending order.\nAnswer: 58, 7, 5, 1, -5, -3278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 4, 0.3, -6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -62 + 61.99892. Round q to four dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38)\/133 + (-34)\/28.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 178, 182, 186?\n\"Answer: 4*o + 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/6*3\/2. Suppose y*g - 2*d - 88 = 0, g + 0*d = -3*d + 36. Calculate the least common multiple of g and (1 + 9)\/((-1)\/(-1)).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16615963.\nAnswer: 7, 13, 182593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -4*a + 10, 3*r + 15 = -3*a + 8*a. Suppose a = 4*i + 3*t + 2*t - 544, 4 = -t. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 111 = 327. Let a = -51 - z. Find the second derivative of 0*t**3 - 19*t - t**3 + 2*t**a - 3*t**3 wrt t.\nAnswer: -12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 - 6*g + 75. Let q be s(19). Let p = 411 + q. Solve -c - 8 = -p for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1731 = 2*j + 937. What is the remainder when j is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5780 - 231091\/40. Calculate the common denominator of 63\/5660 and h.\nAnswer: 11320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32860?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 3*u + 2*h + 733 = 0, -u - 4*h - 743 = 0. Let r = u + 1343. Suppose 3*l + l = r. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cs when two letters picked without replacement from ccscccccscsccsccscc.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*z**2 - 136*z**2 - 399*z**5 - 133*z**2 wrt z.\nAnswer: -23940*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**2 + s**2 - 6*s**2 + 7*s**2.\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -0.01354\nAnswer: 2.98646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 2*i + 27, -4*i = -t + 66415. What is t rounded to the nearest one thousand?\nAnswer: 66000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c + 0*c + 2641 - 2*c**2 + 2643 - 5284.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9270281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3249, -3282, -3315?\n\"Answer: -33*d - 3216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -1637*i**3 + 3*i**2 + 2*i - 1. Let c be (0 - -2)\/(16\/(-8)). Is q(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 5:36 AM?\nAnswer: 7:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -7, 46.\nAnswer: -26, -7, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -50262227\nAnswer: 25131113.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 23472 and 18256.\nAnswer: 164304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2066 + 247 = 10*a - 6967. Let p be (-2255)\/(-77) - (-4)\/(-14). What is the greatest common factor of p and a?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -40*l**2 - 649*l - 93. Suppose 2*o = 268 + 240. What is the remainder when o is divided by u(-16)?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 84 + -80. Suppose 0 = 2*w + 4*l, 4*w - 8*w - d*l = -4. Differentiate 20*z**w + 34*z - 34*z + 11 wrt z.\nAnswer: 40*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2 = 2, -3*m - 4*h = 16. Suppose m = -z - j + 55, -3*j + 119 = 4*z - 97. Suppose x + 4*y - 2*y = z, 0 = x + y - 47. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sscrdsg. Give prob of sequence drg.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -3. Let w(i) = -2 - 3 - i + 3*i + c. Let t be w(1). Sort t, 4, 0.01 in increasing order.\nAnswer: 0.01, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*a**2 + 45*a**2 - 22*a**2.\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/20*14\/6. Let q = 13059\/46340 - 72\/331. Let c = v - q. Put -1\/3, 0.1, c in decreasing order.\nAnswer: c, 0.1, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 4*y = 11, -2*h = h + y - 16. Suppose -h*i - 5*v + 8 = -7, -3*v + 3 = 0. Suppose i*f = -5*k - 20, -5*k + 7 = -f + 27. Solve f = l - 1 - 4 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44) + 3 - (sqrt(11)*2)**2*6.\nAnswer: -261 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 101638175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 49061 divided by -51\nAnswer: -49061\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.066 - 0.164. Let f = 0.01 - k. Let g = -0.06 - f. Which is the second biggest value? (a) g (b) 0.3 (c) -5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v. Let r be o(5). What is the second derivative of -r*k - k + 3*k**5 - k + 4*k wrt k?\nAnswer: 60*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -241, -7485, 5, 0 in decreasing order.\nAnswer: 5, 0, -2, -4, -241, -7485","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 540 from 512562940.\nAnswer: 512562400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9242232 a multiple of 456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 4*v**3 + 1032*v**2 + 66564*v = 0.\nAnswer: -129, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4827403 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 228 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15221 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3*q + 4 = 0. Let n(t) = -t**2 + 20*t + 42. Let i be n(-2). Sort q, i, 1, 0 in decreasing order.\nAnswer: q, 1, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -148.\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {q: 4, g: 7}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 6\/11, 78?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4622?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 36428865 and 2?\nAnswer: 36428863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -m + 2*c + 22, -5*m = 2*c - 17 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(18)\/(sqrt(30)\/sqrt(5)) - ((sqrt(21)\/(2*sqrt(7)))**2 + 1).\nAnswer: -7\/4 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(80)\/sqrt(5) + sqrt(16)) + sqrt(16))\/(-2*sqrt(800)).\nAnswer: 11*sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1\/4, -1\/173.\nAnswer: -1\/173, 1\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (600 + 366 + 14)*(-2*z**2 + z - z).\nAnswer: -1960*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u**2 - 11*u. Let y(s) = -90412*s. What is y(j(m))?\nAnswer: 180824*m**2 + 994532*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7450929 or 7450933?\nAnswer: 7450933","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u + 7. Let t be 69\/(-15) + 4\/(-10). Calculate the least common multiple of y(t) and 11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = t - 8, -2*t + 0*j = 3*j - 10 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 - 45 = -3*w + 4*b, -b - 5 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10044 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -209.74 rounded to the nearest integer?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213609043 is divided by 613?\nAnswer: 611","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 145*z**2 - 761*z**2 + 150*z**2.\nAnswer: -466*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b. Let z(i) = -25*i**2 - 2*i - 1. What is -2*v(p) + z(p)?\nAnswer: -25*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 125931458 less than 29617?\nAnswer: -125901841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3639.15 take away -0.229?\nAnswer: -3638.921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 259451839 to the power of 1\/2, to the nearest integer?\nAnswer: 16108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 + 36169828.\nAnswer: 36169827.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/13708 and 58\/345.\nAnswer: 205620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 - 881*b - 62497. What is s(-78)?\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b0 (base 13) to base 8.\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of -a**4\/6 + a**3\/6 + 4*a**2 + 78. Let o(g) = -3*g. Determine -7*o(b) + 6*p(b).\nAnswer: -3*b + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 267.58 + -267. Let r = v - 32.58. Do r and 0.5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-13)\/(-3) + (-2)\/(-3). Let l = 12 - o. Suppose j = 2*z + 30, -5*z - l - 35 = -j. Is j a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14482 and 533.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -89 - -266. Does 11 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*34\/(-2))\/((-11)\/(55\/(-10)))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -3*t**2 - 9*t + 7. Calculate q(3).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -757*s**2*u + 2*s*u + 2*s - 6163*u wrt s.\nAnswer: -1514*s*u + 2*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1, -12\/11, 54.14?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 555 (base 7) in base 14?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155295 is divided by 155291?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1964\/(-2455))\/(1\/(-10)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -476, -125, 8, 84.\nAnswer: -476, -125, 8, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -829?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h. Let r(n) = -9752102*n**2. What is j(r(d))?\nAnswer: -9752102*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 6 = 5*i. Suppose 0 = 2*f - t - 11 + 2, 0 = -2*f - i*t. Let x = 4 + 0. Solve f*m - x = m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -92.5 - -96.5. Which is the fourth smallest value? (a) j (b) 3.2 (c) -4 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 12:49 AM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3062 = 1839*o - 308*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do 11321 and -15272 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7112680?\nAnswer: 2, 5, 41, 4337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -5, -3\/13, 2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of -f**6\/20 - 7*f**4\/24 - 2*f**2. Find the second derivative of w(o) wrt o.\nAnswer: -36*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q - 6*q**2 + 3*q**2 + q**2 - 18 + 0*q to the form l + o*q + t*q**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (5 - 732)*(-2)\/(-2)*-3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + 4*z + 6. Suppose -x = 4*j + 14, 5*j + 18*x - 20*x + 24 = 0. Let m(i) = -i**2 - 4*i - 7. What is j*m(f) - 5*h(f)?\nAnswer: -f**2 - 4*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/18171428 and -29\/9.\nAnswer: 163542852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mdk when three letters picked without replacement from {l: 1, m: 2, a: 3, d: 1, k: 1, s: 3}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 402131 is divided by 201060.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111011110000101011 - 10110?\nAnswer: -1111011110001000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 190787962 to the nearest integer?\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) + (sqrt(108) - (sqrt(108) - sqrt(108)*1) - sqrt(108))**2*-1)*1.\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 9*f**2 - f - 1. Let y be 2\/(9 - 8 - 3). Determine n(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k**2. Let h(j) = -j**3 + 8*j**2 - 7*j. Let y be h(6). Let r(o) = -30 + o**2 + y. Determine r(g(l)).\nAnswer: 4*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 822*r - 355*r - 394*r.\nAnswer: 73*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q + 0*q + q + (-3 - 2*q + 3)*(2 + 1 - 1) - 7*q + 23*q + 19*q.\nAnswer: 30*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*s - 5*s - 530. Suppose z - 92 = s. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (23 - (-158691)\/(-6903))\/(3 - (-8)\/(-3))\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 392.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 q when two letters picked without replacement from {i: 3, w: 1, n: 1, q: 1, r: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b + 428 = -7*b. Is 78 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 4593302?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -12. Solve 2*y = r - 3 + 8, -7 = -j*y - 3*r for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1195, -1190, -1185, -1180, -1175, -1170?\n\"Answer: 5*t - 1200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4*4\/(-16)*13. Let v = f - 5. Solve -n - v = n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -255 + 465. Calculate the greatest common divisor of 42 and h.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = i - 19. Is 0 less than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -353 + 3?\nAnswer: -350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -5, 0 = -2*z - 2*z - 4*m + 12. Suppose z = -t + 7. Suppose j + 2*v = 37, 7*j - 4*j + t*v = 111. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 282.6566453 rounded to 2 dps?\nAnswer: 282.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 9. Let b = 2 + -4. Let t = 5 + b. What is the closest to h in -2, t, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = 3*p - 4*n, 3*n = -p + n + 34. Suppose 0 = -2*h - 4 + p. Does 9 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -109 + 124. Suppose 3*z - 5*a + 14 = -0*z, 4*a = -5*z + 26. Solve -p + n = z*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 - 6*k. Let o be m(6). Suppose o = -3*h - l + 21, -l = -h + 1 + 2. Solve h*r = 11*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + 4. Let w = -11 - 10. Let t be (-132)\/w - (-2)\/(-7). Solve -t*u = 5*q - 7*u, -l = -q + 2*u for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 8857347*x**2. Let b(r) = 2*r**2. Determine z(b(u)).\nAnswer: 35429388*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -264415, -1057614, -2379599, -4230364, -6609903, -9518210, -12955279, -16921104?\n\"Answer: l**3 - 264399*l**2 - 9*l - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-52)\/12 + 4 - 247\/(-390).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11598 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1264, 1190, 1116, 1042?\n\"Answer: -74*a + 1338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-41 - 120186\/(-2937))*8\/(-28).\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -2, -15, 33, -16\/29, -0.4 in ascending order.\nAnswer: -15, -2, -16\/29, -0.4, 0.5, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 + 9 - 5 + 12*p + (-1 + 2 - 3)*(5*p - 2*p - p).\nAnswer: 8*p - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of -5*t**8\/336 + 7*t**4\/24 + t**2. Find the second derivative of h(x) wrt x.\nAnswer: -100*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*w**2)*(8319 - 1205 - 6191 + 12232).\nAnswer: -26310*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 520 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13077086 divided by -22.\nAnswer: 594413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4\/(-4))\/((120\/36)\/10))\/(1\/(-15))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-1 + 2 - (-13 + 10))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -107 and -106 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48691198, -48691200, -48691204, -48691210, -48691218, -48691228, -48691240?\nAnswer: -48691254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -0.4, -3\/2, 6.32, 4, -0.04 in decreasing order.\nAnswer: 6.32, 4, -0.04, -0.4, -3\/2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 3*p - 8. Suppose -n + 4*l + 3 = p, -2*n + 9 = 3*l. Suppose n*y - 1 = -0*i + 4*i, y - 2*i + 3 = 0. Does 7 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15.3 + 15. What is the biggest value in -4.8, b, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*b**3 + b - b)*(-383 - 144 + 82)*(-5 + 5 - 5) as g*b**3 + s*b**2 + u + j*b and give g.\nAnswer: 4450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/3 + 22*y\/3 + 8.\nAnswer: -2*(y - 12)*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32664 + 3135829\/96. What is the common denominator of 12\/8*6\/(-10) and w?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {z: 8, r: 3, o: 6, s: 1, q: 1}?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 bigger than 73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1177 (base 8) to base 5\nAnswer: 10024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 38\/15 - 1 - (-17 + (-1155)\/(-63)). Which is the closest to 1\/5? (a) -59 (b) -3 (c) i (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 90 + -64. Suppose 0*c = -3*o + 2*c - n, -5*o - 50 = -2*c. Is o less than or equal to -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4863 - -4881. Which is the nearest to 0.1? (a) -1\/4 (b) y (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a + 179. Calculate the remainder when t(-57) is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 102050 to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -43 + -44986.\nAnswer: -45029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5602150061 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**2 - 2*b - 2. Let l be j(2). Suppose -7 - 9 = -l*v. Let i = 14 - v. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -4. Let k(g) = g**3 - 2*g**2 - 2*g + 1. Let j be k(3). Suppose -4*n - 5*c = n, -j = 2*c. Sort n, t, -4 in ascending order.\nAnswer: -4, t, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 8:55 PM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 d when three letters picked without replacement from {d: 2, u: 5, s: 4, g: 1, i: 2}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35642 is divided by 506?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9544.\nAnswer: 2, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from yjyjyy?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pppa when four letters picked without replacement from {q: 2, p: 1, a: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -3*s**3 - 854*s**2 - 555*s + 3669. Determine d(-284).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k - 2. Let h be j(1). Let v(t) = t. Let p be v(h). Let s(r) = -2*r**2 - 6*r + 5. Let u = 9 - 5. Let z(w) = -2*w**2 - 5*w + 4. Give p*s(c) + u*z(c).\nAnswer: -2*c**2 - 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3300*s - 3298*s + 2 = 2*g, 0 = s + 7*g - 39 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1048.3? (a) 2 (b) 0.1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = b - 2*t, -b + 2*t + 3*t = -13. Factor o**b + 0*o**3 + 0*o**2 + o**2.\nAnswer: o**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130 is divided by 23?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyaa when four letters picked without replacement from {a: 4, y: 16}?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1695\/(-2034)*(309\/(-60) - 0) and 346\/(-72) - (-2)\/3?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 46368 = 12*i. Suppose k + i = 15*k. What are the prime factors of k?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/4*8\/10*1. Let t(r) = 1262*r - 1262*r - r**m. Let n(g) = -g + 16. Give t(n(v)).\nAnswer: -v**2 + 32*v - 256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -3*j + 4 - j**2 - 3 + 3 - 2. Determine w(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3*r - 2. Let q be t(2). Suppose m = -q*m. Let a = 14 - 21. Which is smaller: a or m?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of -h**3\/6 + 11*h**2\/2 + 7*h. Let o be q(8). Suppose 0 = -3*m - 3*u + 120 + o, -2*m + 88 = 4*u. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 3*l**3 + 3*l - 6. Let w(u) = -2*u**3 - 4*u + 4. Let m(s) = 6*w(s) + 5*z(s). Factor m(q).\nAnswer: 3*(q - 2)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1393250 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1395827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -1, -81\/2, -1\/7, -8.9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g + l + 4 = 7*g - 5, 0 = -5*g - 3*l - 31 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1238682 or -1238687?\nAnswer: -1238687","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of c**2*k**2 - 5*c**2*k + 35*c*k - 82*c + 23979*k**2 + 21*k + 5 wrt c?\nAnswer: 2*c*k**2 - 10*c*k + 35*k - 82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/21 and 83\/48174?\nAnswer: 48174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 163 - 1791\/11. Let k = 12 + -10. Suppose -5*t = 2 + 3. Which is the closest to 1? (a) h (b) k (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (90 - (5 + -2)) + (34 + -8 + -10 - 17).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2. Let m(n) = -41*n**2 + 3*n. Let c(h) = -164*h**2 + 11*h. Let r(s) = -6*c(s) + 22*m(s). Give d(r(j)).\nAnswer: 6724*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 104 (b) -0.5 (c) 0 (d) -3\/7 (e) -27.4 (f) 5 (g) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from khkhhhkhhkkkhkhkkh. Give prob of picking 2 k and 1 h.\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 - 2*o**2 + 1. Suppose -4*h + t + 4 = 3*t, -3*t + 6 = 0. Suppose -4*i = -h*i + 4. Let w be s(i). Do -0.06 and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - u + 12, 0 = 3*y + 3*u + 5 - 11. Solve y*x = 2*m - 5, 6 = 4*x + 2 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13972 + 676.3.\nAnswer: -13295.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*d = 153*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 5:58 PM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -30550, -122142, -274768, -488428, -763122, -1098850, -1495612?\n\"Answer: -30517*t**2 - 41*t + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 15*y**2 - 4. Let n = -5653 + 5654. Let l(a) = -a**2 - 1. Give n*t(b) - 4*l(b).\nAnswer: 19*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -175 and -15.77?\nAnswer: 2759.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkiiikkiikkkk. Give prob of picking 3 k and 1 i.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6 and 7.81269481488.\nAnswer: 13.81269481488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (1 + -2) - (6 + -5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 131438733 to the power of 1\/2, to the nearest integer?\nAnswer: 11465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(17\/3)\/x*x**42 assuming x is positive.\nAnswer: x**(140\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5889303ms in minutes?\nAnswer: 0.000009815505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3*a**2 + 3)*(-a**2 + 4*a**2 - a**2) + (2*a**2 - 2*a + 2*a)*(2*a - a**2 - 2*a) - a**4 - 4*a**4 + 3*a**4.\nAnswer: -10*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 PM and 5:11 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2349577835 to the power of 1\/2, to the nearest integer?\nAnswer: 48472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o. Let j(l) = 7*l**2 - 6. Give j(y(m)).\nAnswer: 7*m**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.97568219 - 3.\nAnswer: -2.02431781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 6*h. Suppose 2*t + t = 6. What is the second derivative of h*u**t + 3*u**2 - u - u**2 wrt u?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -282550.0584 to the nearest 10.\nAnswer: -282550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 5*n, 4 = -n + 2*o - o. Let i(k) = 4*k - 8 + 2 - n. Is i(10) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4096*-4.\nAnswer: -16384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 5*b - 50, 4 = 5*n - 2*b - 11. Suppose -5*k - 5 = 0, 0 - 6 = -r - 3*k. Calculate the remainder when r is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.093 and -5.128282.\nAnswer: 0.476930226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (-69)\/5) + -10.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 391 - 1198*n + 2138*n + 2913*n + 1247 wrt n?\nAnswer: 3853","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a + 14 + 3*a**2 + 1 - 10)*(-3*a**2 - a + a).\nAnswer: -9*a**4 + 15*a**3 - 15*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1133.936nm in kilometers?\nAnswer: 0.000000001133936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1320)\/50)\/33)\/(10\/175).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 457 + -362. Let p = 637 + z. What are the prime factors of p?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - 13*x**2 - 28*x + 9. Let k(g) = -6*g**3 - 65*g**2 - 139*g + 43. Let c(s) = -11*a(s) + 2*k(s). List the prime factors of c(8).\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 7. Let l = 15 - -9. Solve -o*z = -5*u - 30, -u + 5*z - l = u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -4. Suppose -5*j - 4*o - 7 = -39, 0 = -3*j - k*o + 18. Solve -3*x = -5*x - j for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 210.775 + -211. Round g to 2 decimal places.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 976 = 3*z, 3 = 4*d - 1. Let j be 4\/18 - z\/45. Let q = 14 + j. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 1 + 1)*(213*s - 213*s + 17*s**2)*(-2*s**2 - s**2 + 2*s**2 + (0*s + 0*s + s)*(-9*s - 10*s + 5*s)).\nAnswer: -510*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 43338523 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177177?\nAnswer: 3, 7, 11, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from ppppppph?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 3*c - 6 = 0, -1 = -2*r + 2*c - 3*c. Let z(g) = 9*g - 3. Let w be z(r). Let h = 29 - w. Solve -17 + 2 = h*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 3:23 AM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - 8\/(-5)*(-6 + (-102)\/(-12)). Is s > 14\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Divide 1081 by -4.\nAnswer: -1081\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 89059 = 3*m, 89057 = 3*m + 377*p - 373*p. What are the prime factors of m?\nAnswer: 29683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - z**2 + z. Let t(r) = 5*r + 10*r**3 - 4*r**2 + 9*r**3 - 16*r**3. Calculate 4*f(a) - t(a).\nAnswer: a**3 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -49.13 - -50. Let t = l + -0.8699926. Round t to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 8:09 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 - 1 + (32 + 55 - 28)*(-4 + 3 - 1) - 7 + 3 + 3)*(27 + 40 + 11)*(-w**2 + 2*w**2 + w**2) as d*w + a + v*w**2 and give v.\nAnswer: -18408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245 is divided by 133.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 19411687 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + 3*f**2 - 1. Let m be c(-2). Does 60 divide (m + -3 - 1) + 391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1370105317?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8207, 8216, 8237, 8276, 8339, 8432?\nAnswer: 8561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(500) + -1*sqrt(500) + (sqrt(5) - sqrt(80))**2 + -2.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 4*u - 2*c - 4, 3*c - 8 = 5*u. Let i be 1148\/26 - u\/(-26). Suppose -l = l - i. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/(-3) + 15\/3. Let l(f) be the third derivative of -f**6\/15 + f**5\/60 - f**4\/24 + f**3\/6 - 27*f**2. Calculate l(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -7.9 (b) 2\/5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28817 + 21089 = 69*u for u.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p**2 + 54758 + p**2 - p**2 - 2*p**2 + 54764 - 109522.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -5*q**2 - q**3 - 7 + 2*q**2 + q - 2*q**2. Let x be t(-6). Suppose 210 = 5*b + 411 - 321. Is x bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 206 and 1.21.\nAnswer: 249.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v - 16. Let d(w) = 11207*w + 4. Calculate d(p(h)).\nAnswer: -22414*h - 179308","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + j. Let y be 1\/6 - (-1)\/(-6). Let w be d(y). Suppose -4*l + 0*l + 52 = w. List the prime factors of l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i - 25*i + 4246 - 2494 for i.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 889?\nAnswer: 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(50)*-2)**2.\nAnswer: 5000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1508946658?\nAnswer: 2, 1777, 424577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -454 + 681. Suppose -x = 4*f - g, -233 = -x - f - 18. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 14\/19 (b) 18.4 (c) -3\/5 (d) -0.0705 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of -n**6\/6 - n**5\/5 + 3*n**4\/2 + 4*n**3\/3 - 4*n**2 + 45. Factor y(f).\nAnswer: -f*(f - 2)*(f - 1)*(f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -360 by -1.\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of 5*l**7\/504 + l**6\/720 - l**5\/120 + l**4\/12 - 5*l**3\/3 + 2*l**2 - 13*l. Let h(r) be the second derivative of f(r). Give h(1).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - (8 - 34 - -31)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6542850?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = 2, 2*y - 28*f + 2 = 3*y + 36*f - 57*f - 7 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + -1)\/(3\/4). Let a = x - -7. Suppose -7*n = -5*n - 2. Solve 12 = m + 2*m - a*o, -n = 5*m + 2*o for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*((324\/(-24))\/(-27) - (9 + 0)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*k + 3508 - 3520 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 12\/8*340\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k, 1 p, and 1 s when four letters picked without replacement from {k: 5, j: 4, p: 8, s: 3}?\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pzvmlvnp. What is prob of picking 1 v and 1 l?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000966477 to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6961 - (11\/(-11) + 14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + r - 2 = 3*r, -5*m = 3*r + 5. Let y be 2 - 3 - (6 + 3 + -12). Solve m*t = -y*t + 8 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in eighteen fifths of a second?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*n - 21 + 21 as s*n + r and give s.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1997 (base 10) in base 11?\nAnswer: -1556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 410*j**3 - 23*j**2*r - 23*j*r - 2*j - 3*r - 3 wrt j.\nAnswer: 2460*j - 46*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/18? (a) -5 (b) 4 (c) -0.4 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 18*s = 58820. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 8795 = -5*b - 5*z, -5*z = -2*b + 3489. List the prime factors of b.\nAnswer: 7, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 672.4444ng?\nAnswer: 0.0000000006724444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1145 - 19?\nAnswer: -1162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3917 + 3859. Which is the third smallest value? (a) 5 (b) -1\/6 (c) -0.4 (d) t (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (9\/(-6))\/((-9)\/24). Let s be (-3)\/((-6)\/5 - -1). Let j = 267 - 266. Solve i*a = -s - j for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.439 (b) 0 (c) -6\/11 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1020232 (base 4) to base 13\nAnswer: -2170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27.763 + 19.763. Which is the closest to -0.3? (a) g (b) 4 (c) 2 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of 0*d**3 - 2 + 0*d**4 - 1\/10*d**5 + 0*d**2 - 5*d. Let y(v) be the first derivative of x(v). Let y(p) = 0. What is p?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 130498, 130353, 129956, 129181, 127902?\nAnswer: 125993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -3*l + 4. Suppose -33*i + 29*i + 3*i**2 + 0*i**2 - l = 0. What is i?\nAnswer: -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/2285 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 x when three letters picked without replacement from xggxxggxxggg.\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 331104230204?\nAnswer: -331104230212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 365640 and 190344?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -1, 8.39 in decreasing order.\nAnswer: 8.39, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q - v - 9, -58*q - 3*v = -63*q - 37 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (390\/36)\/13*18\/3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*l - 1548 = -121*l. Calculate the lowest common multiple of l and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -3*t + 2. Suppose -4*w - 27 + 3 = 0. What is the smallest common multiple of 2\/4 - (-14)\/4 and m(w)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 3556610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x**3 - 23*x**2 - 59*x - 143. Calculate the remainder when 16826 is divided by q(14).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, t: 5}. Give prob of sequence dd.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38415 and 315?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 PM and 6:33 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -134, 874, 26 in ascending order.\nAnswer: -134, 4, 26, 874","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 3 - 1)*(-18 + 47 + 16)*(-g**3 - g**3 - 4*g**3) to the form p*g + q*g**2 + d*g**3 + u and give d.\nAnswer: -1350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9562*w = -9559*w - 60 for w.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-142*c + 40*c + 26*c)*(2 - 3 + 2) + 2*c + 0 + 0)*(-12 + 12 + 6*c) to p + i*c**2 + a*c and give i.\nAnswer: -444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -122598\/59 + 2078. Does c = 2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*a + 90 = -70*a. Let k = 395 - a. List the prime factors of k.\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3842540?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47 - 66. Let y(w) = -234*w + 1154. Let p be y(5). Which is smaller: u or p?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -72 and -0.16924.\nAnswer: 12.18528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4.02 and 0.3.\nAnswer: -1.206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.173376us in hours?\nAnswer: 0.00000002004816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -4*x**2 + 60*x = 0.\nAnswer: 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -508*j + 504*j + 420 = -4*t, -j = -4*t - 123. Suppose -x - 2*v - 17 = -6*x, 4*x - 4*v = 16. Calculate the greatest common factor of x and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1910\/(-25))\/(4\/(-20)*1) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9 + -1 + 69 + 4. Suppose -3*p + 2*y + 582 + f = 0, 0 = -y. Calculate the greatest common divisor of p and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33*137\/((-30825)\/300)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 183871?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2988 is divided by 27?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 104 - -49. Let d = 174.9 - k. Let q = d + -22. Which is the closest to q? (a) -0.05 (b) 1\/6 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30) + -1*sqrt(750) + sqrt(360)\/(sqrt(12)*2))\/(1*sqrt(54)\/(sqrt(9) - sqrt(441)*1)).\nAnswer: 21*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 53*o**3 + 13*o**2 - 9*o - 4. Let x(k) = -13*k**3 - 3*k**2 + 2*k + 1. Calculate 2*f(q) + 9*x(q).\nAnswer: -11*q**3 - q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 310794.2873667 and -12.\nAnswer: 310782.2873667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -0.5 (c) -0.06 (d) 9 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 48\/10 - (2 - 24\/20). Suppose 5*w = 2*n - n - 3842, -c*w + 4 = 0. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**3 + 3*o**2 + 2*o - 1. Let c be d(-2). Let l = -12 + c. Suppose -l = -2*h + 19. Is h a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -101 > -0.15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 300 - 297. Sort t, -7, -579 in descending order.\nAnswer: t, -7, -579","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 - 46 = 49*o + 8. Let f(c) = 4*c**3 + 8*c**2 + 3*c. Let m(r) = -3*r**3 - 7*r**2 - 2*r. What is o*f(z) - 3*m(z)?\nAnswer: z**3 + 5*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -409*f + 3990. Let b be y(-80). What is b rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1278378 - 10701302214\/8371. Find the common denominator of -97\/66 and b.\nAnswer: 50226","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1 plus 109851?\nAnswer: 109852.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g**3 + 2*g**2 + 2*g - 3. Give o(3).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -2*q + 28, -c + 5*c = -5*q + 70. Suppose -4*h + 2102 = 602. Suppose 0 = -q*n + 19*n + h. What is n rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1726 (base 14) to base 7.\nAnswer: -15046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4, 1, -38, -131, -296, -551?\n\"Answer: -3*t**3 + 18*t - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1906 - -1905.6. Suppose 0 = -5*n + 5*y + 35, 2*y = n + 2 - 13. What is the closest to n in 2, b, -1\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3*k - 8. Let i(m) be the second derivative of m**3\/2 - 5*m**2 - 34*m. Let a(z) = -4*i(z) + 5*v(z). Let g(p) = 7*p. Give a(g(c)).\nAnswer: 21*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84\/(-10)*(-736820)\/(-42104).\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 28 + 750*l + 27.\nAnswer: 750*l + 71","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2278*h**5 - 2*h**4 + 11252*h**3 - 11179284*h**2.\nAnswer: 136680*h**2 - 48*h + 67512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y + 4. Let u be l(2). Let z be 5 + 1 + (-28)\/(-7). Let d = -5 + z. Solve 0 = -u*r + 3 - d for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + o + 65791 - 65773 = 0, -4*v + 14 = -3*o for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of r**4 + 5*r**2 + 1039. Let m(g) = 9*g**3 + 21*g. Let t be 14*(5 + (-11)\/2). What is t*o(x) + 3*m(x)?\nAnswer: -x**3 - 7*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 + 11\/2)*2. Let -11*q + 7 - 3 + 9*q**2 - x*q**2 + 19*q = 0. What is q?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of s**5 + 17*s**4\/3 + 32*s**3\/3 + 8*s**2 - 3*s. Factor u(i).\nAnswer: 4*(i + 1)*(i + 2)*(5*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 99, -1\/10, -2\/15.\nAnswer: -2\/15, -1\/10, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 11919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4342924 is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of 0*a + 0*a**3 + 1\/12*a**4 + 5*a**2 + 1\/60*a**5 + 0. Determine z(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppoppoppppppo. What is prob of picking 2 p?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -17505, -17500, -17495, -17490, -17485?\n\"Answer: 5*g - 17510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*q + 2*q**3 + 107*q**2 - 821 - q**3 + 819 - 23*q**2 - 2*q to v*q + j + m*q**2 + n*q**3 and give m.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1d84e3 (base 15) in base 12?\nAnswer: 5986b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72422418.\nAnswer: 2, 3, 12070403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1053 = i - 3*j, 0*i - 5*i - 3*j = -5283. Suppose q + 10*q - i = 0. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 858869, 858941, 859013, 859085?\n\"Answer: 72*n + 858797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z - 1. Let x(d) = 11*d - 8. Let h(t) = -3*f(t) + x(t). Let w be h(2). Solve -3*r = 3*g - 8*r + w, 3*g + r - 13 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5 + sqrt(152)\/sqrt(8)).\nAnswer: -20 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 19 - 10 + 10*i.\nAnswer: 10*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3*j + 3*c = 108, -2*j + 68 = -2*c. Solve 0 = -j*y - 6*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y**3 + 5*y**2 + 4*y - 4. Let q(u) = u**2 + 18*u + 21. Let j be q(-16). Let n(t) = 9*t**3 + 14*t**2 + 11*t - 11. Give j*v(c) + 4*n(c).\nAnswer: 3*c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 24*t**2 + 3 - 2.\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 5*j**2. Let b(a) = -604*a - 14. Let q(w) = 210*w + 5. Let n(l) = -6*b(l) - 17*q(l). Determine n(m(u)).\nAnswer: 270*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 7 = 4*w, -w - 4*l + 0*l = 10. Let y(m) = m**w - 3*m - 1 - 5 - m + 3*m. Let h(j) = -j**3 - 7*j**2 - 7*j - 6. Let d be h(-6). Calculate y(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 137 - 679\/5. Let w = -0.22 - -5.22. Which is the third smallest value? (a) -3 (b) w (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dyd when three letters picked without replacement from {y: 1, d: 4, e: 8}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3030 is divided by 2952.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 109941 and 3365886?\nAnswer: 43756518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13596874363 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - l = -42, -8*v - 2*l = -7*v - 14. Calculate the least common multiple of 458 and v.\nAnswer: 3206","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6454 + -1.06.\nAnswer: -1.7054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 1213\nAnswer: 4\/1213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a hour in seconds?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 - 32*n**2 - 65*n - 26. Let z be h(-30). Solve z = -i + 119 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 236571633*s + 337673349 wrt s.\nAnswer: 236571633","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12537 is divided by 228.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1060546 - -144?\nAnswer: 1061023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + -2 + (-123 - (-31 + -62)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 684*q + 842*q + 254*q as r + w*q and give w.\nAnswer: 1780","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -3*a - 7 + 10, 5*o - 26*a + 26 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7\/10, 4, -0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(19) + 1*sqrt(76)\/sqrt(4) + sqrt(19)).\nAnswer: -18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)*4*-6 + ((sqrt(72) - (sqrt(72) - sqrt(72)*2 - sqrt(72))) + 5)**2 + -3)*5.\nAnswer: -540*sqrt(2) + 3350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s - 4*t = -9*t - 84, -2*t - 48 = -301*s + 306*s for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) 64 (b) -1\/2 (c) 0.2 (d) 2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -5*u + 3. Suppose -3*m - 4*c = 1, 2 = -m - m - 2*c. Let l(w) be the first derivative of -2*w**2 + 2*w + 4. Give m*l(y) + 2*i(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -233, -450, -665, -878, -1089?\nAnswer: -1298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 - -19. Factor -2*i**3 + 8*i**2 - 13*i**4 - 5*i**2 + 12*i**y.\nAnswer: -i**2*(i - 1)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*a = 328 - 342 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/4)\/(p*p**1*p))**(-21)*(p**1)**50*(p*p**2*p)\/p*p*p**(5\/2) assuming p is positive.\nAnswer: p**(457\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (17\/(136\/(-64)))\/(158\/237)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -f**4\/4 - 12317*f**3\/2 - 40415173*f**2 - 60264931683*f\/2 - 360135308907\/4 = 0?\nAnswer: -11891, -849, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 62, 328, 772, 1394?\n\"Answer: 89*u**2 - u - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -21*-542.4\nAnswer: 11390.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4197451*a - 3637953 wrt a?\nAnswer: -4197451","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.09139201 to 3 decimal places.\nAnswer: -0.091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((2*(sqrt(539) + -5))**2 + (sqrt(539) + (-2 + sqrt(539) - sqrt(539)) - sqrt(539)) + -4) + -3.\nAnswer: -9003 + 1120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - (-1 - (-27 - -23)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a68581 (base 12) to base 7.\nAnswer: -31221664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12713 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of -q**5\/20 + 5*q**4\/6 + 2*q**3 + 4*q**2 + 4*q. Let l be p(11). What is the greatest common divisor of l and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/18*2\/(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 i when two letters picked without replacement from lwjljjjjijwjjjijjwl.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -257 - -40a25?\nAnswer: 407ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 272917889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16 + 8)\/(4\/(-1418)). Suppose 0*w + 4*w = b. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 11155370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 4 = -2*z, -18*o + 4 = -20*o + z for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 21, 43, -2, -46, 2, -20 in increasing order.\nAnswer: -46, -20, -2, 2, 3, 21, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -211.675 + 212. Let x = 0.425 - k. What is the closest to -2 in 5, -3\/2, -2\/15, x?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -49*j - 5. What are the prime factors of g(-2)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 9*i - i**2 - 2*i**2 + 8*i**2. Let a(c) = -c**2 - 6*c + 21. Let t(b) = 2*b**2 + 14*b - 49. Let r(v) = -7*a(v) - 3*t(v). What is l(r(w))?\nAnswer: 5*w**4 + 9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 277*b - 27. Let v(m) = 277*m - 41. What is -3*k(h) + 2*v(h)?\nAnswer: -277*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -173, -93 in ascending order.\nAnswer: -173, -93, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12336454 (base 10) to base 4.\nAnswer: -233003311012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 46 = 18*o - 17*o, -4*o + 3*r = -164. Suppose 6 + 1 = -f - 4*q, 5*q = 2*f - o. Solve -2*t = -5*t + f for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 487, 3585, 8753, 15991, 25299?\n\"Answer: 1035*m**2 - 7*m - 541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20540\/1027*(-6)\/(-340).\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 283917?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*i + 34*i = 62*i - 129 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11285532 - -11285549.976662. Let u = d + 2.02334. Let y = u - 20. What is y rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12753 and 2373345.\nAnswer: 258694605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 130 and 14162187.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-837)\/(-1209))\/(42\/(-91)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39 + 94. Calculate the greatest common factor of d and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 436?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 98a + ad9?\nAnswer: 1685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-76)\/(-95))\/((-4)\/30). Let j(a) = -4*a - 4. What is the units digit of j(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 66*q**2 + 59*q - 395. Give o(-65).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b**2 + b - 3. Let j be g(3). Let x be (-5)\/(-2) - j\/12. Let k be x\/(-10 + 2)*-2. Solve 4*c + k = -3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-14))\/(42\/(-98)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -220395761*s - 264066648?\nAnswer: -220395761","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 89*v**2 - 6*v + 3. Is q(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c - 7*c - 6311 = -4*t, -4*t + 5052 = 4*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 26.43215 and 1.33623.\nAnswer: 27.76838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -54, 1, -1 in ascending order.\nAnswer: -54, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18*3\/(-216)*-24*(-25)\/(-2).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 35 - 7. Let z = 6 + r. Let o be (z\/((-1)\/(-2)))\/2. Is o less than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17900 and 14320?\nAnswer: 71600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 120 and 1290.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 3:15 PM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 105027, 104835, 104643?\nAnswer: 104451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12575 + 4426291\/352. Calculate the common denominator of m and -181\/180.\nAnswer: 15840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5*((sqrt(144) - sqrt(36))\/sqrt(2) + sqrt(18))\/(sqrt(216) + 2*sqrt(216))*2)**2.\nAnswer: -400\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12680769?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11\/19655 + 176917\/39310. Solve 0 + 21\/2*f**2 + 2*f + 39\/2*f**3 + 31\/2*f**4 + u*f**5 = 0.\nAnswer: -1, -4\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of i**5\/20 + 25*i**4\/12 + i**3\/3 + 55*i**2\/2 - 8*i - 4. Let a be l(-25). Solve 12 = -8*v + a*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3573233 is divided by 95.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 10*m**4 - 3*m**2 + 11*m - 11. Let p(h) = -5*h**4 + h**2 - 6*h + 6. Let w(j) = -6*c(j) - 11*p(j). Find the third derivative of w(l) wrt l.\nAnswer: -120*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1824092 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-17)\/(-34))\/(1 - 111\/112).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -a - 8 + 63, 2*a - 109 = n. Calculate the remainder when a is divided by 22.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r**3 - 151*r**2 + 234*r + 242. Let c be 2\/4 + 21\/(-2). Calculate the remainder when (-208)\/(-5) - 4\/c is divided by l(-77).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*j**5 + 434560*j**4 - 131481*j + 103 wrt j.\nAnswer: -240*j**3 + 5214720*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, e: 2, f: 1, q: 1}. What is prob of picking 1 q and 1 f?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 4*f - 14, 3*f + 3 = 4*n + 14. Let i = -131\/5 - -26. What is the second smallest value in n, i, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of 0*t + 21 + 27\/2*t**2 - t**3. What is the second derivative of a(y) wrt y?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j**2 - 70*j + 31. What is k(35)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17\/3, -1\/2, 127.\nAnswer: -1\/2, 17\/3, 127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of c**8\/840 - 2*c**7\/75 + 3*c**6\/25 - 17*c**5\/75 + 11*c**4\/60 - 2*c**2 - 1272. Let i(n) = 0. What is n?\nAnswer: 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4589550, 4589557, 4589564, 4589571, 4589578?\nAnswer: 4589585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 3013 + 3044 = 4*z, 2*v - 83 = -z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007509 to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 225 at least 225?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1260 >= 651?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7, n: 2, p: 2, u: 2, i: 4, l: 2}. Give prob of picking 1 p and 1 l.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/22 and -57\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, 278, 14, -0.3, -2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -835.8 to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3*b**3 - 6*b**2 + b - 28. Let m(a) = 2*a**3 - 4*a**2 + a - 18. Let p(i) = 8*m(i) - 5*q(i). What is p(3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28368 a multiple of 144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 181036?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27223, -27226, -27229, -27232, -27235, -27238?\nAnswer: -27241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 59945.96 centuries in decades?\nAnswer: 599459.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 327*v**2 - 43*v + 28. Let i(y) = 47*y**2 - 6*y + 4. What is 15*i(k) - 2*s(k)?\nAnswer: 51*k**2 - 4*k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -320*z - 216*z**2 + 642*z**2 - 317*z + 637*z - 209*z**2 - 210*z**2.\nAnswer: 7*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c - 6. Let i be h(-6). Let d = 4821 + -178364\/37. What is the common denominator of d and -2 - i - 90\/(-24)?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16247 and 1232.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1758.073ml to litres.\nAnswer: 1.758073","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 320182 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of k**3\/6 - k**2\/2 + k + 27. Let l(y) = y - 3. Let m(u) = u**3 - 7*u**2 - 7*u - 10. Let w be m(8). Give w*l(s) + 5*o(s).\nAnswer: 3*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 + 1 + (-3 + 4 + 2)*(3 - 5 - 2))*(3 - 7 + 0)*(25 + 5 + 1)*(0 - 3 + 1)*(-1 - w + 1) to i + c*w and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -5*s**2 - 19*s - 1. Let d(r) = -2*r**2 - 9*r. Let c(b) = 7*d(b) - 3*u(b). Let j = 20 + -14. Let w be c(j). Solve 2*z - w*z = -1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 34704, 69413, 104124, 138837, 173552, 208269, 242988?\n\"Answer: v**2 + 34706*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = 3*p + 2*k - 20, -3*p + 3*k = -90. Calculate the highest common factor of 350 and p.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87889 (base 10) in base 2?\nAnswer: 10101011101010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 654 + -3272\/5. What is the third biggest value in -1\/2, l, 25?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 10*d - 136. Let u be j(14). What is the units digit of 177\/(-36)*-33*u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*s - 0*s. Let n(d) = d - 11. Let g be n(10). Let k(b) = -b**2 - 2*b - 1. Let v be k(g). Solve -s*c + 3 + 3 = 2*h, v = -4*h + 3*c - 14 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/20 and 125\/84.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 10*t + 334. Let q be j(-33). Let s(i) = -i**2 + 6*i - 7. What is s(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12704035 to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -24*(-3)\/(-4 - 2). Let v = -9 + 3. Let i = v - h. Solve 0*s + 2*s + i = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eav when three letters picked without replacement from {x: 5, v: 1, a: 5, l: 2, e: 5, n: 1}?\nAnswer: 25\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54 + 37631*i**2 - 99 + 45.\nAnswer: 37631*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or 2302118?\nAnswer: 2302118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 104, 195, 278, 353, 420?\nAnswer: 479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -2*j**5 - 184*j**4 - 4406*j**3 - 19000*j**2 - 28856*j - 14080 = 0.\nAnswer: -55, -32, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*p + 16 = 17*p. Suppose 66 = p*i - 62. Let z be 27\/4 + 4\/i. What is the highest common factor of z and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -18*q**3 + 108*q**2 - 14*q + 88. Determine d(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -3*n**5\/4 + 285*n**4\/4 + 1341*n**3\/4 - 14229*n**2\/4 - 44793*n\/2 - 32076 = 0.\nAnswer: -6, -3, 8, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2\/4 - 205*w\/4 - 195\/2.\nAnswer: -5*(w + 2)*(w + 39)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/5 - 3871554\/(-1). Let v = g - 71553. Round v to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 + 6*p**2 + 4*p + 5. Find the common denominator of (99\/(-18) - -5)*(-61)\/(-4) and s(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*c - 2*c - 2*c)*(-1 - 1 - 2*c + 3*c) + 3 - 3 - c**2 in the form v + w*c**2 + m*c and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1148a - -3?\nAnswer: 11492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 27\/45 - (-80)\/(-50). Sort -3, i, -7 in descending order.\nAnswer: i, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.9435 rounded to 1 decimal place?\nAnswer: 16.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32 - 46*p - 32)*(-2*p + p - p).\nAnswer: 92*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19527290?\nAnswer: 2, 5, 1952729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a. Let q be i(-1). Let o = 1 + q. Let c(l) = -9*l**3 + l**2. Is c(o) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a milligram in micrograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m**2 - 9*m**2 + 9*m**2. Let a(o) = 26*o**2. What is h(a(t))?\nAnswer: -2028*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 51963 - 51960. Find c such that 2*c**2 + 22\/7*c + 4\/7 - 22\/7*c**a - 18\/7*c**4 = 0.\nAnswer: -1, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 15\/4 of a year?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13571 and 19557.\nAnswer: 6473367","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -130 times 718193?\nAnswer: -93365090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 q, and 1 o when three letters picked without replacement from {n: 5, q: 4, g: 1, i: 1, o: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*s**3 - 66 - 56 + 122.\nAnswer: -13*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 10 = 0, 1071045 = 5*a + 1022*g - 1020*g. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6 + -6)\/((-3)\/(-12)). Let i = f + 193\/4. What is the common denominator of i and -40\/7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 64744200 to the nearest one million.\nAnswer: 65000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 576177 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9686324*r**3 - 113*r - 7289.\nAnswer: -58117944*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 q when three letters picked without replacement from {y: 5, o: 3, q: 11, b: 1}.\nAnswer: 11\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 2 = f. Let b(u) = -u**3 - 6*u**2 - 2*u + 19. Let k be b(-5). Put -5, f, k in decreasing order.\nAnswer: k, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(5\/2*(-26)\/(-65)). Suppose 4*u = 4*r + 5768, -2878 = 2*r + d*u - 3*u. Round r to the nearest one hundred.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -130.498315 to the nearest integer.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 3*a + 40. Let t = a - 1. Let s = -5 - t. What is the remainder when 23 is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 56 or 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -214 + 153. Let v = g - -71. Is (12\/v)\/(-4*(-3)\/840) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -40 - -30.6. Let r = -8.4 - h. Which is smaller: r or -68?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -34*i. Let f(q) = -8*q - 4030 + 4030. What is s(f(k))?\nAnswer: 272*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 499659984 a multiple of 279?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 2064, 3, 0.2, 2\/19, 1\/4 in ascending order.\nAnswer: 2\/19, 0.2, 1\/4, 0.3, 3, 2064","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -2*j, 6*j - 8*j = 0. Solve -2*d = 5*h + 14 + 1, -4*h - 4 = a for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 475554 and 475567 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 j when two letters picked without replacement from {z: 1, f: 1, j: 2, s: 1, q: 1, k: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -11c14c8 - -24?\nAnswer: -11c14a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of b**9\/12096 - b**8\/2240 + b**7\/1120 - b**6\/1440 - b**3\/3 - 2. Let u(l) be the third derivative of q(l). Factor u(a).\nAnswer: a**2*(a - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6030 is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12.9 - -13. Let w = 20 + -17. Which is the closest to n? (a) -0.5 (b) w (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 19, 42, 83, 148?\nAnswer: 243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 14292 = 3*g, -2*o - 8 = -0. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -9.3 (b) -1\/2 (c) -2454 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21827 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-5*(sqrt(245)*2 + -3) + 5 + 1 + 1*(sqrt(245) + 1) + sqrt(245) + -1)**2.\nAnswer: -64484 + 9408*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2030459, 2030429, 2030377, 2030303, 2030207?\n\"Answer: -11*q**2 + 3*q + 2030467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1588087389 to the nearest integer?\nAnswer: 1167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 3808 divide 740625346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + 5)*(26 + -14).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**3*(j\/(j*j**10))\/j*(j**1)**(-6))**21 assuming j is positive.\nAnswer: j**(-399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -10 - 5*a**3 + 14 + 4*a**3 - 4*a**2 - a. Let o(l) = 2*l**3 + 8*l**2 + l - 9. Let q(i) = 3*o(i) + 7*t(i). Calculate q(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 906010.\nAnswer: 2, 5, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 14162, 14168, 14184, 14216, 14270?\n\"Answer: l**3 - l**2 + 2*l + 14160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/22)\/(5\/2).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 11:09 AM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -30 - -30914b7?\nAnswer: 3091487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (41008\/33319)\/((-2)\/26).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (4 - -6) + -7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((10496\/192)\/(-82))\/((8\/(-14))\/(-1))?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14234*q**5 + 4*q**4 + 72*q**3 - 7914*q**2 + 483?\nAnswer: -854040*q**2 + 96*q + 432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -16 - 29. Let u be (-2)\/(-3) - 35\/p. Let d be 490\/21*(u + 0). What is the greatest common factor of d and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7703?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116532 is divided by 4019.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1123\/(-4) - 2\/8. Let x = -5629\/20 - s. Let n = -301\/20 - -367\/15. Find the common denominator of x and n.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 3)*(-1 + 2*m + 1 + m - 3*m + m - 2 + 2 + 2*m + (4 + 3 - 5)*(2*m + 3*m - 3*m) - m - 13 + 13)*(22*m + 678 - 343 - 347).\nAnswer: 132*m**2 - 72*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p - 87*p**3 - 188*p**3 + 44*p**3 + 52*p**3 + p to o*p**2 + y*p**3 + a*p + j and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v*(((v*v**(-17))\/v)\/v)\/v))\/(((v\/(v*v**(11\/5)))\/v)\/v))\/(v**18\/(v*v*v\/(v\/(v**22\/v*v)))) assuming v is positive.\nAnswer: v**(141\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 + (-62 + 70 - -72)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1397 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 - 4*b + 5. Calculate k(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, -0.186, 6, -11.62 in decreasing order.\nAnswer: 6, -0.186, -11.62, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6115.179 kilometers to meters.\nAnswer: 6115179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2*v + 91703 = 0, -4*d + v - 6*v + 73336 = 0. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/17, -0.4, -1, 2\/345, -1\/7 in descending order.\nAnswer: 1\/17, 2\/345, -1\/7, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12.912 - 0.088. Let d = u - -12.9959. Let q = d - -0.0040753. Round q to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*i**4 - 3*i**4 - 5*i**4)*(-30 + 14 - 53 - 33) as r*i**2 + p*i**4 + h*i**3 + y*i + d and give p.\nAnswer: 306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129 is divided by 112.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + 4*n - 19. Let y(j) = -j**2 - 5*j + 20. Calculate 2*y(r) + 3*z(r).\nAnswer: r**2 + 2*r - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -291 + 295. Suppose 0 = 2*x + h*o - 8, -3 = 2*x - 4*x + o. Which is the nearest to -1\/3? (a) -6 (b) -4 (c) 0.5 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/70 and 52\/25?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 506*d = 502*d - 20, d + 11 = z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 - -1.1. Let s be ((-4)\/7)\/2*406\/696. Which is the nearest to w? (a) s (b) 5 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + 39. Calculate the greatest common divisor of d and 88.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -9, 0, 102.\nAnswer: -9, -2, 0, 2, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + u + 98 = 2*y, 6*y + 1814*u - 377 = 18*y + 1815*u for y.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3 + 12955*p**2 + 53803623*p + 70080119901.\nAnswer: (p + 2629)*(p + 5163)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6, -7, -34, -81, -154?\n\"Answer: -u**3 - u**2 - 3*u + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7\/(-7) - (-1 + -1). Does 11 divide (5 - g)\/(-4) - -34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -5, -1, 19\/7 in decreasing order.\nAnswer: 19\/7, -1\/3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -70 - (-144 - -112) - (31 + 0)\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 867 and 2704725?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 at least as big as 79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/5*(-71)\/(-2). Let s = 3272 - 16291\/5. Let y = h - s. Which is the closest to y? (a) 5 (b) 2\/19 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/3 - 430*g**2 - 20881*g\/3 - 6530.\nAnswer: (g - 1306)*(g + 1)*(g + 15)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-420 + 159 - 731 + 41)*(-2*s**2 - 2*s + 2*s + (3 - 3 - 2*s)*(-s + s - 3*s)).\nAnswer: -3804*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.4, 0.08, -0.5, -29, 2\/9, 0.1?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12*(-9)\/(-24)*152\/18. Solve -5*u + s - 8 = 0 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 2*q**4\/5 - 4434*q**3\/5 - 3554*q**2 + 4434*q\/5 + 17768\/5 = 0.\nAnswer: -4, -1, 1, 2221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zpnz when four letters picked without replacement from {z: 9, n: 4, g: 3, p: 4}.\nAnswer: 16\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 71 - 39. Suppose -5*m = t + 25, -r = t + 4*m - 12. Find v, given that 6\/5*v**4 + 0*v + t*v**2 + 0 - 4\/5*v**3 = 0.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 6, k: 2, f: 6, r: 1, z: 1, y: 2}. Give prob of sequence kyf.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y - 162 = 4*y. Find the third derivative of 2*s**6 + 46*s**3 - y*s**2 - 25*s**3 - 17*s**2 wrt s.\nAnswer: 240*s**3 + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + 2 + -5 + -173. Let l = -172 - d. What is the remainder when 19 is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.09 - 0.09. Let u = 113 - 227. Let h = u - -115. Which is the closest to h? (a) -2 (b) l (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 - 7*a + 22. Let u = 30 + -14. Let o = u + -8. What is the remainder when p(-7) is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2276 = -7*w - 2136. What is the lowest common multiple of 1 and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -13974605, -13974600, -13974591, -13974578, -13974561, -13974540?\n\"Answer: 2*w**2 - w - 13974606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-16)*(-2)\/(-6). Let z = 36 - 38.3. Let t = -2 - z. Which is the second smallest value? (a) t (b) -0.2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v**4\/10 - 6684*v**3\/5 - 43979*v**2\/10 - 19128*v\/5 - 3826\/5 = 0. What is v?\nAnswer: -2, -1, -2\/7, 1913","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 0. Let d be ((-37)\/(-37))\/(-1 - (-24)\/26). Let c be -3 + 1 + -3*1. Sort d, b, c.\nAnswer: d, c, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 218.0485 decades in millennia?\nAnswer: 2.180485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of -g**6\/120 - g**4\/24 - 7*g**3\/6 - 5*g**2. Let x(c) = c**2 - 7*c + 6. Let z be x(6). What is a(z)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**4\/2 - 27*g**3\/2 - 45*g**2\/2 + 75*g\/2 = 0 for g.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a centimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j - 3793. Let m(c) = 4516*c**2. Determine q(m(l)).\nAnswer: 4516*l**2 - 3793","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1202001 (base 4) in base 10?\nAnswer: -6273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 54 = -54. Suppose m = 68*i - 47*i - 4095. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 3*q - 5*q + 64, 0 = 3*n - 5*q - 48. Is 7 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 251 + 407. Let u = o + -663. Which is the third smallest value? (a) -1\/5 (b) u (c) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*s + 1 - 152*s - 1)*(0*s + 2*s + 0*s).\nAnswer: -318*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2145883130?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-4) - 8)*1\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 - 16*j - 9. Let z be f(-15). Suppose x - z = 2*g, -3*x - 15 = 5*g - 4*x. Are 1 and g nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 1\/6 (b) 0.4 (c) 3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 373\/818 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (17\/((-136)\/1344))\/(-2). What is the greatest common factor of g and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + 12. Let k(f) be the second derivative of 2*f**3\/3 + 2*f**2 + 2*f. Calculate the remainder when k(6) is divided by i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37 + -18. Suppose -1 - j = 4*f. Let u = f + 23. 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: Put 3, -1, -5, 876263, -3 in decreasing order.\nAnswer: 876263, 3, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102220 + 1122211?\nAnswer: 2002201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 10 = 7*b - 9*b, b - 2*w - 10 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, b: 4, r: 5, s: 1, w: 4}. What is prob of picking 1 r and 3 w?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 0*r = 0. Let f be (3\/3)\/(r - -1). Is f equal to -1\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-8)\/12)\/(2 + 60\/(-2)). Let i(o) be the second derivative of 0*o**2 + 1\/35*o**5 + c*o**4 + 0*o**3 + 0 + 3*o + 1\/105*o**6. Factor i(y).\nAnswer: 2*y**2*(y + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000871586 to five decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/105)\/(2200\/(-880))?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.05 (b) -218166 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 567*x + 558*x - 1)*(x**3 - 4*x**3 + x**3) as i*x**3 + h*x**4 + d + l*x**2 + j*x and give i.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -37*u + 33*u + 436, -96 = -u + 4*t. Suppose 67 - u = -l. Solve 43 = -2*o + l for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 4*s**3 + s**2 - 5*s + 1. Calculate k(2).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 3) + 1 + (4 - 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - -28. What is the remainder when a is divided by -13 - -21 - (-31 - -11)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 570010?\nAnswer: 2, 5, 7, 17, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 + 18. Let j(m) = 1 + 0*m**3 - 5*m**2 - m**3 - 4*m + m**2 + t*m**3. Give j(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lfh when three letters picked without replacement from lfslsssllsshssfhghl?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + 6*w + 6. Let q be 2\/(-4) + (-33)\/(-6). Let j be (-10)\/q - (-1 - 3). Suppose 2*y = 5*t, j*y - 2*t + 2 = 2*t. What is a(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 57.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -339 (base 16) to base 12\nAnswer: -589","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*a**5\/7 + 164*a**4\/7 + 200*a**3\/7 - 4712*a**2 + 64692*a\/7 - 32076\/7 = 0. Calculate a.\nAnswer: -27, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.021942508 rounded to four dps?\nAnswer: 0.0219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -3*m + 12, 2*m - 2 - 9 = -x. Let h = -1 - -1. Let n = h + 3. Sort m, -5, n in decreasing order.\nAnswer: m, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 988 and 983866?\nAnswer: 37386908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 506 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -2*x + 2*u, x + 4*x = 2*u + 188. What is the smallest common multiple of 30 and x?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2690*j + 2694*j + 2684*j + 3124*j + 2687*j + 2683*j - 16558*j.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g - 30. Let s be o(16). Let x be (12\/s)\/(1\/(4\/6)). Solve -x = -l - 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37c32 (base 13) in base 2?\nAnswer: 11001001011011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 AM and 11:23 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.896 - -5.804. Let x = 0.16 - -0.84. Which is the nearest to 2? (a) x (b) 0.3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 + -22. Let w(s) = -s**3 - 7*s**2 - 7*s. Calculate w(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 33921180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 94, 183, 270, 355, 438, 519?\nAnswer: 598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(0 + sqrt(612) + sqrt(612) + sqrt(612) + 3 + (sqrt(612) + 1)**2*5 - (5*(sqrt(612)*-2)**2 - 2*sqrt(612)*4)).\nAnswer: -9172 + 126*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 6*c**2 - 2. Let b be l(6). Let x = 9 - -11. What is the least common multiple of -4*(-2 + 0\/b) and x?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3122797285?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00096077116 to 6 decimal places.\nAnswer: 0.000961","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 7, w: 7}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 6:12 PM?\nAnswer: 2:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -1 (b) 590 (c) 0.035\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/165 (b) -1\/7 (c) -0.5 (d) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - r - 4 = -3 - 2, -36*r = -m - 182 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*s**3 + 83*s**2 - 12*s - 96 wrt s?\nAnswer: 72*s + 166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 AM and 4:16 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-3*sqrt(26) - 1*sqrt(26)*5)\/(3*(sqrt(200)*2)\/sqrt(4)).\nAnswer: -7*sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b. Let j(m) = 4*m**2 - 40*m. Calculate j(s(w)).\nAnswer: 4*w**2 - 40*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*4 + (-1 - 12\/(-3)). Let m be (-13 + d)*(-10)\/4. Let c(u) = -u**3 + 10*u**2 - 9*u + 1. Let z be c(9). Sort m, z, -13.\nAnswer: -13, z, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 132233 + -2?\nAnswer: 132231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6929 - -6945. Calculate the remainder when 1596 is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 17 - 3*b + (b + 0 + 0)*(4 - 4 - 1))*(-8*b**3 + 3*b + 5*b**3 - b).\nAnswer: 12*b**4 - 8*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 39*d**2 - 15*d - 5. Is i(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 164 and 73636?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/1230 and -7\/708.\nAnswer: 145140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-12)\/1*(-3)\/(-45).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -133 - -194. Let v = s - 60.22. What is v rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1))**(-19)*b**(-5\/4)*b**0 assuming b is positive.\nAnswer: b**(71\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -68774 (base 9) in base 4?\nAnswer: -23030020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 9 + 8)*(-5*h**2 - 3*h**2 + 2*h**2).\nAnswer: 54*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - 9*d + 10. Let q be n(8). Let s = q - 2. Suppose -4*g + 3*i = -21, 3 = -4*g - s*g - 5*i. Does 3 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191635 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 0 + sqrt(567).\nAnswer: -3 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1.6*0.3\nAnswer: -0.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 + 4)*(33 - 957*a**2 - 161 + 1924*a**2 - 23 - 961*a**2) to s + k*a + g*a**2 and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 35 = 5*j. Let f(r) = -5 - j*r**3 + 14*r**3 + 20*r - 8*r**3 - 19*r**2. Is f(18) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 50 - 52.4. Let g = 12 + -9.2. Let w = g + c. What is the smallest value in -5, 2\/11, w?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = -5*w - 40 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-178)\/(-356) - 6\/16\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5737 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -6010, 22, -1\/17 in decreasing order.\nAnswer: 22, -1\/17, -4, -6010","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0031484 to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2162 - 22?\nAnswer: 2140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 27*z - 145 = 0, -4536*z = -5*b - 4539*z + 35 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(275) - (sqrt(275) + 3*sqrt(275) + 0) - sqrt(275).\nAnswer: -20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of -o**7\/1260 - o**6\/144 - o**5\/120 + 5*o**4\/144 + o**3\/9 + 38*o**2. Solve s(w) = 0 for w.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1902 - 414. Calculate the highest common factor of 2 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59331 is divided by 349.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 682*n**3 - 2*n**2 + n. Is f(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of 1\/8*p**4 + 0*p**5 + 1\/105*p**7 + 0 - 4*p**2 + 0*p**3 + 0*p + 0*p**6. Find the second derivative of m(t) wrt t.\nAnswer: 24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**4 + 8740*h**3 + 9591952*h**2 + 94838720*h - 228115200 = 0. Calculate h.\nAnswer: -2180, -12, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o*o\/(o\/(o**0*o*o))*o)\/o)**(-4\/29)\/(o**(-1)*o)**(-1\/64) assuming o is positive.\nAnswer: o**(-16\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 AM and 6:00 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -499*o + 258*o + 256*o. Let r(a) = -8*a. Let s = -12 + 6. Give s*b(t) - 11*r(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1564 is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8579188 to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bdddddddbbdbdddb. What is prob of sequence dd?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.058718cm to millimeters.\nAnswer: 40.58718","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -123 + 122. Sort 152, 1, o.\nAnswer: o, 1, 152","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142470.\nAnswer: 2, 3, 5, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 398 - 193. What is the remainder when f is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*a**3 - 55 - 15*a**2 + 55 as b*a + c*a**2 + z + v*a**3 and give c.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tte when three letters picked without replacement from {t: 6, n: 1, e: 5, i: 5}.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07413 take away -0.607074?\nAnswer: 0.532944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1061 + 32?\nAnswer: -1026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/8*(82\/(-30) + 45\/(-75))\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-109)\/(-86982)*171)\/(6\/4)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(4*sqrt(65)*-2)\/(sqrt(125)*3))**2.\nAnswer: 3328\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvll when four letters picked without replacement from {l: 6, v: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 192808, 770954, 1734444, 3083278, 4817456, 6936978?\nAnswer: 9441844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 307 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 191\/53919360 and -23\/11988.\nAnswer: 485274240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1768 - -15.6\nAnswer: -1752.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*c - 6*d = -258, c - 3*d = -852 + 844 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1196902*t**3 - 2875278*t**2.\nAnswer: -7181412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**5 - 6*b - 7. Let l = -9 - -16. Let o(r) = 2*r**5 + 5*r + 6. Let n(f) = l*o(f) + 6*d(f). Find the second derivative of n(x) wrt x.\nAnswer: 40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**5 - 12*i**4 - 9*i**3 + 54*i**2.\nAnswer: 3*i**2*(i - 3)**2*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o + 6. Suppose 0 = 2*d - 0*a + 5*a, 3*d - 3*a + 21 = 0. Let b(k) = 6. Let f(w) = d*x(w) + 6*b(w). Give f(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/4)\/(-1 - (-12)\/10). What is the greatest common divisor of 10 and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 12:37 PM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**2 + c - 2. Calculate v(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/23, 4\/3, -822\/707, -1\/4?\nAnswer: -822\/707","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 19426 or 77699\/4?\nAnswer: 19426","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.4, 5389, 0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75182*g + 36715*g - 90129*g.\nAnswer: -128596*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/15 (b) -4\/5 (c) 16\/73\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1062961735 and 47620.\nAnswer: 11905","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2\/15, 4, 5\/3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**7)**(4\/37) assuming z is positive.\nAnswer: z**(28\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 17 = -5*n, o - 2 = -4*n - 0. Suppose -o*c + 0*c = -0*c. Suppose -3*s + 18 + 6 = c. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -402 - -402.5. What is the fourth smallest value in -0.2, 4, c, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5312 divided by -8?\nAnswer: -664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 148911759?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 1380 = -4*v, -135*s + 695 = -134*s + 3*v. What is the remainder when s is divided by 218?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of -1\/6*u**6 + u**2 + 0*u**5 + 0*u**4 + 0*u**3 + 0*u + 1. What is the second derivative of z(c) wrt c?\nAnswer: -20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -4, 6*y - y + 4*i - 292 = 0. Calculate the remainder when 136 is divided by y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 PM and 6:46 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 14.5 * 22380\nAnswer: 324510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 - g. Let k(y) be the third derivative of y**5\/20 + 2*y**3\/3 - y**2. Let z(i) = 4*h(i) - k(i). Let u be 2\/2 - 4\/(-2). Calculate z(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -482 - -502. Suppose -4*t - i - 12248 = 0, -15*i = -t - a*i - 3081. Round t to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 133 - -593. List the prime factors of m.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 230453203*j*z**3 + 2*j*z**2 + 2*j*z + 2*z**2 + 3560391 wrt z?\nAnswer: 1382719218*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 173*g**3 - 27*g**3 - 159 + 84*g**3 - 22 wrt g?\nAnswer: 690*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -394 + 400 + (-5 + 6 - 5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 113653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*o + 37*o + 68*o in the form u*o + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) + -1)**2 + -3 + (sqrt(2299) - (sqrt(2299) - (5 + sqrt(2299) + sqrt(2299) + -4 - sqrt(2299) - sqrt(2299)))**2).\nAnswer: 9*sqrt(19) + 434","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 211286 (base 16) to base 7\nAnswer: 24265016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-4 - (-3 + 13))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - ((-8 + 18 - 9) + -10).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3840026784 by 4.\nAnswer: -960006696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mtntonntnyxy. Give prob of picking 1 t, 1 x, and 1 o.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.8 + -1. Which is the third smallest value? (a) g (b) -2\/3 (c) -3\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 497761821?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 59 and 62?\nAnswer: 3658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -235\/126 - -31\/18. Which is the fourth smallest value? (a) -5 (b) -55 (c) 1 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 1701536*b - 16 = 1701524*b, -3*j - 22 = -5*b for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of -p**2\/2 - 5*p + 1. Determine n(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6601686*w**2 + 4165*w wrt w.\nAnswer: -13203372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i**2 - 18*i**3 + i + 52*i**3 - 20*i**3 - 4*i + 2*i**4 - 15*i**3 to q + h*i**2 + t*i**4 + m*i**3 + v*i and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8252*u**2 + 1648*u?\nAnswer: 16504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (24\/(-15))\/(66\/(-4015)). Which is smaller: 96 or a?\nAnswer: 96","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**2. Let x(r) be the first derivative of r**4\/4 - 5*r + 1. Let a(k) be the first derivative of x(k). What is a(p(o))?\nAnswer: 12*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 714867 and 10 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 46.000039 + -46. Round g to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of -i**9\/1008 - i**5\/24 + i**3\/3 - 3. Let x(r) be the third derivative of y(r). What is the second derivative of x(h) wrt h?\nAnswer: -60*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2380. Let g(b) = 529. Let i(h) = -9*g(h) - 2*v(h). Let t(n) = 6*n + 1. Determine -3*i(c) + t(c).\nAnswer: 6*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(96\/18)*220\/33.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19534.113 months in decades?\nAnswer: 162.784275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -753112, -753739, -754366, -754993, -755620, -756247?\n\"Answer: -627*o - 752485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 101704?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 1\/4 (c) -2\/7 (d) 9\/128 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 1 (b) 0 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 43 + -47. Let a(c) = 6*c**3 - 5*c**2 - 7. Let i(u) = 3*u**3 - 3*u**2 - 4. Give q*a(s) + 7*i(s).\nAnswer: -3*s**3 - s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 593*x**4 - 29*x**3 - 225684*x**2.\nAnswer: 14232*x - 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3 = 2*t, 4*q = -2*t + 266. Is 22 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2142)\/(-112) - (-1050)\/560.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 3:24 PM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, o: 5, t: 4, m: 5, x: 1, f: 1}. What is prob of picking 3 o and 1 t?\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -14540000 to the nearest one million.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -93157, -93155, -93153?\n\"Answer: 2*p - 93159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2311a (base 14) to base 16.\nAnswer: -14d24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29555748503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 45678372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9204724 is divided by 187850?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3536 and 485134.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 429551188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2. Let g(l) = 12*l**2 - 11 - 6 + 17. What is -30*f(m) - 2*g(m)?\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -3*g + 3*t - 1, -11*g - 5*t - 50 = -28*g + 22*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.6 + 0.1. Let u = i + 4.3. Let r = u + -5.014. Round r to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 135 - -44. Let b = 178.9062 - p. Let n = -0.1 - b. What is n rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - b**3 + 3)*(-38 + 15 - 15)*(83*b**2 - 385*b + 385*b).\nAnswer: 3154*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7056746?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - 3213112?\nAnswer: -3213121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b + 2. Let s be g(8). Let p be (s\/(-4))\/((-6)\/(-12)). Suppose 3*j - 3*c = -0*c + 213, -5*j + 347 = -p*c. What are the prime factors of j?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 12*i**3 + 17*i**2 - 27*i - 17. What is the hundreds digit of c(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (75\/10)\/(3\/198)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - 8*x**2 - 94*x + 639. Let n be z(6). Suppose i - 3*c = -5, i + 2*c - 3*c = -1. Let h be i - 2\/(-4)*-18. Put h, n, 1 in decreasing order.\nAnswer: n, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4901 greater than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -4 + 12, -n - 3*l = -17. Let q(w) = 7 - 4 + 7*w - 5*w. Let d(j) = -j - 1. Determine n*d(s) + q(s).\nAnswer: -3*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105 divided by -2090159.\nAnswer: -105\/2090159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 49.434 and -3.\nAnswer: 46.434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1.08 times -87057\nAnswer: 94021.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3 - 15969*p**2 + 303050*p.\nAnswer: p*(p - 15950)*(p - 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + 15. Suppose 0 = s*u - 47 + 14. Let b = -7 + u. Solve b*a - 5 + 21 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bon when three letters picked without replacement from {b: 1, f: 3, n: 3, o: 2, d: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 0 = -1. Put o, -14, 3 in ascending order.\nAnswer: -14, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13687, -11122, -8559, -5998, -3439, -882, 1673?\nAnswer: 4226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*k**3*w**2 + 24256*k**3 - 199*k*w wrt w?\nAnswer: -16*k**3*w - 199*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4*r = 195. Let q = 257\/4 - r. What is the smallest value in 0.02, q, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 300 = 2*m + 2*u, -2*u - 594 = -4*m - 3*u. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/((-8)\/(-7)) + (-324899)\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d - 872*d**3 + 2*d**2 - 2*d**2.\nAnswer: -872*d**3 - d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 474 a factor of 243162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**0)\/(y\/((y\/y**4)\/y))*y*y\/(y**(6\/7)\/y)*y*y**(3\/8)*((y*y**5)\/((y\/((y**(-4\/3)*y)\/y))\/y*y*y*y*y))**(-2\/83) assuming y is positive.\nAnswer: y**(-6947\/13944)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -3*k - 3. Let v(l) = -4*l - 4. Let z(y) = 6*d(y) - 5*v(y). Calculate z(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in ninety-one halves of a microgram?\nAnswer: 45500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 4*h - 0*h - 208, 2*h - 105 = -3*a. Calculate the greatest common divisor of 17 and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 1:58 PM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 1 = 2*w + 2, 0 = -3*w - 5*d - 5. Suppose 4*o + 2 - 10 = w. Suppose 0 = o*i - 3*i. Which is smaller: i or 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7595*q - 1 - 14649*q + 7055*q + 1.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2478*c**3 + 4895*c**3 - 2418*c**3.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 153*w - 38394. Determine r(244).\nAnswer: -1062","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -4*i**5\/3 + 4*i**4\/3 + 20*i**3\/3 - 4*i**2\/3 - 32*i\/3 - 16\/3 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 614? (a) -0.3 (b) -0.4 (c) -1\/10 (d) -1.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7092 and 144.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-53)\/(-5) - 5 - 5. Let n be 2\/(-8) - (-2)\/8. Let g be (-5)\/(-2)*(n + -2). Put i, 1, g in increasing order.\nAnswer: g, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7.136816 millilitres?\nAnswer: 0.007136816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of 2*y**6\/3 - 48*y**5\/5 + 1743*y**2\/2 - 1740. What is the second derivative of n(v) wrt v?\nAnswer: 80*v**3 - 576*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 304, 1173, 2632, 4675, 7296, 10489, 14248?\nAnswer: 18567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -4, 2\/9, 0.3, 293?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -136635 + 2.\nAnswer: -136633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 739 is divided by 29?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -116 + 115. Put -5, w, 1\/7, -2 in decreasing order.\nAnswer: 1\/7, w, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/6)\/(1\/78). Let z = b + 63. Is z a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.03 + -2.53. Let x = -3.3 - -0.3. Let y = r - x. Which is the second smallest value? (a) -1 (b) y (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3176, -12456, -27920, -49568, -77400, -111416, -151616?\nAnswer: -198000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -13*a. Let c(h) be the third derivative of h**4\/12 + 4*h**2. What is l(c(k))?\nAnswer: -26*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5850436 - 3b?\nAnswer: 58503b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-176)\/308*(-6)\/72?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -76 + 93. What is the remainder when j is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-20)\/16)\/(4\/(-608)) is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2409 or -2410?\nAnswer: -2410","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 divided by 105?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 6:29 PM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from nnnanaaannnnnnnnnaa.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 372.72 grams in micrograms?\nAnswer: 372720000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-2 + (6 - 8) - 0 - 3).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24618*k**3*l - 3*k**3 - k**2 - 2*k*l**3 - 4960*k wrt l.\nAnswer: -24618*k**3 - 6*k*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -204038883*w**5 + 2105*w**2 - 227*w - 18 wrt w?\nAnswer: -12242332980*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w**2 + 102*w + 42. Let f(b) = 3*b**2 - 117*b - 41. Let j(y) = 5*f(y) + 6*n(y). What is j(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 434, 388, 312, 206, 70, -96, -292?\n\"Answer: -15*v**2 - v + 450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2402?\nAnswer: 2, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -25 (b) -2\/17 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 369*r - 2128*r + 186045 = 596*r for r.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -102 and 9214.\nAnswer: -939828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 5*x**3 + 4*x**2 + 3*x + 8. Let n(g) = -g**3 - g**2 - g - 1. Let v(f) = -4*n(f) - y(f). What is v(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1564440\/37 less than 42281?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3301 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (7 + 19 + (-15 - -10)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*g**2 - 3 - 88*g**2 + 27*g**2 + 31*g**2.\nAnswer: -12*g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 - 11 = -5*z + 2*f, -2*f = -3*z + 25. Suppose -7 - 3 = -5*a. Suppose -g + a = -z. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -538 divided by -3.\nAnswer: 538\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, e: 2, p: 9, o: 1}. What is prob of sequence po?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.202768 millennia in years?\nAnswer: 4202.768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - -67b1111?\nAnswer: 67b1114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -300*j + 4281 + 1297*j - 4281 to the form b*j + v and give b.\nAnswer: 997","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vnv when three letters picked without replacement from {n: 5, v: 8}?\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -377 + 386. Let k(z) = -z**3 + 8*z**2 + 9*z + 10. Calculate k(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -9*g + 58. Calculate the remainder when 35 is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 12 + -3e26?\nAnswer: -3e14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.405 - -0.44228. Let n = p - 0.83068. Let s = 0.8 + n. What is s rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a**3 + 2705*a**2\/2 + 5362*a + 5346 = 0 for a.\nAnswer: -2673\/8, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1486, -1489, -1490, -1489, -1486, -1481?\nAnswer: -1474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(-182)*-13)\/(-35*1*1)\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 123483691 a multiple of 619?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 613 is divided by 40?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 - 23*c**2 + 62*c - 41. Determine b(20).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1218294, 2436587, 3654880?\n\"Answer: 1218293*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2303*-94\nAnswer: -216482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 313 + -292.7. Let p = l - 20.29802. What is p rounded to four decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000444 rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 5*c - 7*c)*(-c + 0*c + 0*c) - 290*c**2 - 43*c**2 + 11*c**2.\nAnswer: -320*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/(sqrt(60)\/sqrt(48)) + ((sqrt(45) + sqrt(45)*-1)*3)\/sqrt(9).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1241804261?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -38 in -200, -1\/10, 484?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n + 1 - 1 + (6 + 1 - 5)*(116*n + 109*n - 200*n) - 2*n + 2*n + 2*n.\nAnswer: 54*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -3*n**2 - 168*n. Let o be w(-56). Solve o = -15*a - 7*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 3*v**2 + 1. Let h be (1 - (5 - 1))*36\/(-54). Determine j(h).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - j - 23 - 32 = 0, -4*j = z - 14. Solve 60 = -7*g + z for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - k = 4*k - 307, -f - 4*k + 74 = 0. What are the prime factors of f?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*u**4 + 54756*u**3 - 493176*u**2 - 657424*u + 1095840 = 0. Calculate u.\nAnswer: -13698, -2, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-264)\/(-3069)*341*6\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31209214?\nAnswer: 2, 15604607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 PM and 2:04 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 269281?\nAnswer: 269281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 49 + 37 = 0. Let m(b) be the second derivative of -1\/3*b**3 + 0 - 2*b**2 + 1\/20*b**5 + 1\/6*b**x - 2*b. Calculate m(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 5:55 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-95)\/(-114) - -18 - 19. What is the closest to 2\/3 in -0.4, -1\/4, r, -0.8?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2552157466.\nAnswer: 2, 1276078733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 100819808?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3354*o**3 - 3354*o**3 + 81*o**4 + (2 - 2 + 2*o)*(5*o**3 - 4*o**3 + 2*o**3).\nAnswer: 87*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times 136?\nAnswer: 816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 120\/16*((-84)\/27 - -3)\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 754 and 364?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in months?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 12724437*i**3 - i**2 - 2*i - 1. Let v be b(-1). Let s = v - -33880139. Let a = s + -36655702. What is a rounded to the nearest one million?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 3:35 PM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 + 12*a - 12. What is k(7)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -11932*f + 12635973. Give n(1059).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 4*q - 20, -4*q - m = -2*q - 10. Suppose -2*a - 131 = 3*d, q*d = 2*d + 4*a - 143. What is the units digit of (-1 + 2\/1)\/((-3)\/d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (72\/3)\/6 - -142524. Suppose 9*g + 13189 = h. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-64)\/(-24))\/((-60)\/126))\/(5\/(400\/(-8))).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -3*a**2 + 11*a + 3. What is k(5)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of -183*h**3\/2 + 118*h**2 - 2*h - 393. Find the first derivative of g(q) wrt q.\nAnswer: -549","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1534 - -35?\nAnswer: -1455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f + f + 6*f - 7*f.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 655851468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/5)\/v)**18)**(-8\/9) assuming v is positive.\nAnswer: v**(48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 1:34 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 99 - 3*d - 10 + 4*d to m + k*d and give m.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-6222)\/(-136))\/((-1)\/(-4)) is divided by 58?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292581 to the power of 1\/2, to the nearest integer?\nAnswer: 541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2940?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8551, 8513, 8399, 8209, 7943?\nAnswer: 7601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5.0784 and -0.1302?\nAnswer: 5.2086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s - l - 1, -2*s - 1 = 3*s + 4*l for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -5719.687 to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1330688 + 39?\nAnswer: 1330716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (5 - (17 - 7) - 3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - 16*s + 22. Let k(i) = 2*i**2 + 33*i - 45. Let p(a) = 6*k(a) + 13*v(a). Let u be p(7). Let f = 41 - u. Is 18 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -85.3 in 3\/173, -1\/2, 1\/17?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of 0 + 1\/180*r**5 - 1\/180*r**6 + 0*r**3 + r**2 - 1\/210*r**7 + 0*r**4 - 36*r. Factor d(o).\nAnswer: -o**2*(o + 1)*(3*o - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**2 - 37*i + 9*i + 9*i + 5*i in the form u*i**2 + t + y*i and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccce when four letters picked without replacement from eeeceeeec.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 20093 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 386757, 386794, 386861, 386958?\n\"Answer: 15*b**2 - 8*b + 386750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.064 * 5.\nAnswer: -0.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 1:40 PM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + l = 26850, 10*l - 8*l + 5381 = m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i + i = -b - 17 - 21, 1816*b - 1821*b - 4 = 4*i for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + -2)*(255\/(-6))\/(-17)*-1. Which is the closest to 1\/5? (a) -2 (b) k (c) 2.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/45 + (-44)\/(-684). Sort -0.2, -0.11, c in descending order.\nAnswer: -0.11, c, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -4*v + 4, 2*v = -0*v - 5*t + 2. Let f be (-16)\/(v - -3)*-1. Solve -f*j = -0*j - 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1058814709 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*x - 4 - 12. Let g be 3\/((-39)\/x) - 10\/(-65). Factor 4\/11*j - 6\/11*j**2 + 2\/11*j**3 + g.\nAnswer: 2*j*(j - 2)*(j - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17407379 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3672)\/(-306)*(-2)\/4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of r**4\/4 - 2*r**3\/3 - 3*r**2\/2 + 2*r + 5. Let q be j(3). Solve q*b - b = 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1108\/8235 + -2\/1647. Let r = -5.5 - -5. Which is the third biggest value? (a) r (b) 4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10.8 - -10.11. Let h = d - -2.69. What is the closest to 0.3 in 1, h, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9.9725 and 5?\nAnswer: -49.8625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 121771, -359, -2, 0.3, -3 in ascending order.\nAnswer: -359, -5, -3, -2, 0.3, 121771","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 546 + -2185\/4. Let x = -0.6 + 3.6. What is the closest to 1\/2 in d, x, 0.2, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 5*f - 7, 3*f + 10 = 2*m + f. Suppose m = 3*t - k, -2 = 3*t - 2*k - 5. 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 38*o - 165*o + 50*o + 36*o + 45*o.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 3*a = -4. Solve 11 + 5 = -a*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1392528?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + 20*t**2 - 27*t - 7. What are the prime factors of x(-21)?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/32236743 and -169\/3792558?\nAnswer: 64473486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by (1 - 0)*(9 + 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*f + 38*f + 3 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, a: 1, q: 2, p: 1, v: 2, n: 1}. Give prob of sequence qvn.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000294446 to 5 dps.\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*t - q = -61*t - 52, -5*q = 4*t + 4*t + 442 for t.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 104136617 and 1679.\nAnswer: 1679","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.961 * 4.\nAnswer: 7.844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-11 + -3 + 4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74762?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/8)\/((-2)\/((-8)\/(-5))). Which is the closest to 0.1? (a) 4\/9 (b) -0.01 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c + 1. Let k = 2 - 3. Let d(z) be the first derivative of -10*z**3\/3 - 2*z**2 + 3*z - 1203. Let j(u) = k*d(u) + 4*y(u). Determine j(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = 6*q - 13 - 117. Solve -10*n = -q - 10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7109, -5, -80 in decreasing order.\nAnswer: -5, -80, -7109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of 43*o**9\/126 + 179*o**5\/30 - o**2 + 168. Find the third derivative of k(t) wrt t.\nAnswer: 20640*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -6152, -6105, -6058, -6011?\n\"Answer: 47*m - 6199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*x = 2252*x + 353136 - 53488 for x.\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-114 + 62 + 29 + 2*r)*(-1 + 4 + 5)*(4 + 0 - 3).\nAnswer: 16*r - 184","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, b: 1, p: 2, o: 2, j: 1, s: 1}. What is prob of picking 2 b, 1 i, and 1 o?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 4*(sqrt(156)\/((sqrt(144) + sqrt(144)*2)\/sqrt(12)))**2.\nAnswer: 25\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-40))\/((9\/25)\/1).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 46\/(-3) + (-3735)\/(-249). Put 24, -2\/5, w in decreasing order.\nAnswer: 24, w, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -6. Suppose 0 = -8*w + k*w. Let n be ((-1)\/(-2) - w)*2. Let z(y) = 4*y**3 - 2*y**2 + 2*y - 1. Give z(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eezd when four letters picked without replacement from {d: 3, m: 1, u: 3, e: 5, z: 1}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (22*-1)\/((-8)\/116) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d\/d**(-1\/36)*d*d*d**25 assuming d is positive.\nAnswer: d**(1045\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 58 + -56. Suppose o*v = -3*q + 6, 4*q + 1 + 2 = v. Suppose -w - 5*j = -v + 31, -w = 2*j + 13. Let p(h) = h**2 + 3*h - 3. What is p(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1827 and 79441092?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x + 126 = 25*x. Solve -4*s + x*s - 9 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 459, 1910, 4329, 7716, 12071, 17394, 23685?\nAnswer: 30944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*n + 7*n + 25 = 16*n + 2*b, 4*b = -3*n - 1 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8880 and 270544.\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/956689 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*d + 34*d - 124361. What is the thousands digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.05805 + 2107.071\nAnswer: 2107.12905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b + 13. Let f be x(-13). Solve f*z = 2*z + 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, -5, -909, -26 in ascending order.\nAnswer: -909, -26, -5, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-144)\/(-4))\/6*2\/(-66).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 307 + -305. Solve 2 = -y - 2*h, -4*y = -d*h + 7*h + 11 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s**3 - 5*s**2 + 5*s. Let r(c) = -c**3 - 2*c**2 + 2*c. Let y = 41 - 36. Suppose -15 = -2*m + i, -i = y*m - 69 + 14. What is m*r(n) - 4*g(n)?\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g**4 - g**2 - 1167*g**5 + 0*g**4 - 138*g + 267 + 58*g + 83*g wrt g.\nAnswer: -23340*g**3 + 12*g**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*k**3 + 2 - 2*k - 1\/2*k**2.\nAnswer: (k - 2)*(k - 1)*(k + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o**5 - 192*o**4 + 6348*o**3 + 13256*o**2 + 6720*o = 0. What is o?\nAnswer: -70, -1, 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 759 = -5*i, -15*c - 5*i + 1503 = -11*c. Calculate the highest common factor of c and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49*u**2 - 24*u**3 - 2*u**4 + 57*u**3 + 51*u**2 + 2 - 25*u**3 + 2*u to w + c*u**4 + m*u**3 + a*u**2 + y*u and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 80.943? (a) -1 (b) 1\/4 (c) 5 (d) -3 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*p**3 + 12*p**2 - 5*p**2 + 0*p**2 in the form i + v*p + s*p**2 + d*p**3 and give s.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/846 and -17\/940.\nAnswer: 8460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -0.02\nAnswer: 0.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -5 (c) 3\/7 (d) -4 (e) 0 (f) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-1881)\/1463 - (494\/(-14))\/1\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 6 = 6*r. Let q(b) = -r + 8*b + 5 + 0*b - 3 - b**2. Give q(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(847) + -1 + sqrt(847) - sqrt(847).\nAnswer: -1 + 22*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9.1 - -4.1. Suppose 97*u + 11 = 9*u + 187. Sort u, -78, g in descending order.\nAnswer: u, g, -78","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**2 - 5*i. Let y be (-8 + 9)*2*2. What is the tens digit of l(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 9*d - 4. Let g(f) be the third derivative of -f**4\/3 + 2*f**3\/3 + f**2 - 2980. Determine 6*g(z) + 5*q(z).\nAnswer: -3*z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 52568798327 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 259534?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15360291 to the nearest integer?\nAnswer: 3919","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 83132857 a multiple of 143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.22739 take away 511.8?\nAnswer: -513.02739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 48462 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 228 and 6099?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -96534.1991 - -97087.1990355. Let l = b - 553. What is l rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -129691, -128715, -127089, -124813, -121887, -118311, -114085?\nAnswer: -109209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and 98981084?\nAnswer: 791848672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 1\/21 (c) -4 (d) 42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, m: 9, g: 1, e: 4}. Give prob of sequence eme.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = u - 3*j, -5*j - 75 = -3*u - 2*u. Suppose 9*l = 2*l + u. Suppose 52 = 4*w - l*f, -2*f = -2*w + 14 + 16. Solve 5*y + 9 + w = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 18 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11904 and 997704?\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 4:23 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 0 - (-55 + 66)) + 62 + 3.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -263 = -4*h - 127. Calculate the smallest common multiple of h and 24.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of 14*j**6\/3 - 13*j**2 - 34. Find the second derivative of i(z) wrt z.\nAnswer: 560*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -505.655 - 0.345. Let p = 507.2 + v. Let g be 4\/34 + 0 + 0. What is the nearest to 0.1 in p, g, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1682 - 498 = -218*p for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n - n - 2*n)*(-3 + 3 + 2*n) - 2 - 5*n - n**2 - 4*n**2 + 3*n + (0*n + 3*n - 2*n)*(-2*n - 8*n - 3*n).\nAnswer: -16*n**2 - 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 432\/(-84)*77*4\/88.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s + 3. Let w be y(0). Let q(g) = -3*g - 11. Let z be q(-5). Suppose 20 = n + 4*n. Solve -z*h = -w*h + n for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 857.\nAnswer: -1\/857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -2*q**4 + 16148*q**3\/3 - 2346758*q**2\/3 - 6351392*q\/3 - 3186472\/3 = 0.\nAnswer: -2, -2\/3, 157, 2537","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.429804 rounded to 2 dps?\nAnswer: -22.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/14 - (-52)\/1820.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6728 divided by 37244?\nAnswer: -1682\/9311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z - 12. Calculate i(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + 86*m - 1597. What is o(26)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 9183 - 9342.48. Round q to the nearest 10.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**3 + 7*q**3 + 0*q**3 + (-87 + 46 + 46)*(18*q**3 + 16*q**3 - 7*q**3) + (2 + 2*q**3 - 2)*(2 - 2 + 1) in the form z + l*q + b*q**2 + m*q**3 and give m.\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 8 - 4 + 0*w**2 + 6*w - 42*w**3 - 4*w**2 + 41*w**3. Let c be -2*(-1)\/2 - 4. Let a be ((-1)\/c - 2)*18\/6. Calculate t(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.6 + -0.9. Let p = j - -5. Which is the nearest to -0.1? (a) 0 (b) -2\/11 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36 - (19 + -35)) + (-5 - -39).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 5 = -s, -20 = -3*j + 2*s + 2*s. Solve r - 2*t + 9 = j, 0 = 5*r - t + 4*t + 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-64*u - 49*u + 48*u)*(-2*u**2 - 3*u + 3*u)*(-1 - 3*u - 2*u + 6*u).\nAnswer: 130*u**4 - 130*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + -334 + 322 + 1 + -9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -27.2, -4\/5, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37882?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 = 12*d + 48. Is 150\/d*(2 + (-406)\/5) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -372325, -372288, -372251, -372214?\n\"Answer: 37*b - 372362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -55 from -32.4.\nAnswer: 22.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 345, 1167, 2529, 4425, 6849?\n\"Answer: -q**3 + 276*q**2 + q + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a century in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -6. Let q(i) = -i**2 + 7*i. Let n be q(w). Let r be 1\/(-4) + 3\/n. Which is smaller: r or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -2*t**5\/13 - 4831828*t**4\/13 + 6*t**3\/13 + 14495480*t**2\/13 - 9663656*t\/13 = 0.\nAnswer: -2415914, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 64812719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - -2) + 11*1. Suppose 4*z + 698 = -0*o + o, -5*z = 5*o + 885. Let v be (50\/z - (-60)\/14)\/1. Solve c = v*p, -k + 3*k + 2*p = 10 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1325?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 27 = -52 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98\/140*1*(-12)\/21.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 118160?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 10 = -1894*x + 1896*x, 5*x - 5*g = -5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 13, g: 3}. Give prob of picking 4 m.\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - (3 - 0))\/((-17)\/(-17)). Let h be (14 + -16)\/(2*y\/820000). What is h rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a meter in centimeters?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-20)*(1309\/(-231) + 1\/3).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7 + -12*(-5)\/15. Let g be 2 - c\/((-165)\/(-54))*-5. Solve -12*j + 17*j = -g for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33 - -42. Find the common denominator of 51\/70 and (-148)\/(-25) - (r + -2).\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p. Let d(r) be the second derivative of -3*r + 0 + 0*r**2 - 1\/3*r**3. Calculate n(d(j)).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/3 (b) 64 (c) 2 (d) -1\/3 (e) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -137006, -137010, -137016, -137024, -137034, -137046?\nAnswer: -137060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 + 0)*(4 - 3 + 0)*(-56*d - 271 - 79*d + 137 + 138) as w*d + j and give w.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: -1086 divided by 3\nAnswer: -362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, h: 10}. What is prob of picking 2 h?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 i when two letters picked without replacement from suisiiui?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 - 3*j + 8. Does 13 divide g(-42)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -30, -21, 12, 81, 198, 375?\n\"Answer: 2*s**3 - 5*s - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 + -0.2. Let p = 5 - 8. Let o = p - -4. Sort q, -5, o in decreasing order.\nAnswer: o, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3673*i**2*q**3 + 1076*i**2*q - i**2 - 15*i + 87076 wrt q?\nAnswer: 11019*i**2*q**2 + 1076*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {n: 6, w: 1, j: 11}.\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o + 3*x + 31, 13 = -2*o - 4*x + 1 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m - 12 = -16*m. Suppose g = b - m, -b = 4*b + 5*g - 40. What is the remainder when b is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7901*i = 550 - 550 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 54647779 to the nearest integer?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 84 - 45. Let a = 32 + -19. What is the highest common factor of a and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 365953172 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 12, 5*h - 643272 = -2*n + 200977. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f - f**2 + f + (-14 - 6*f + 14 + (-3 + 3 - 1)*(-2 + 2 - 3*f))*(-4*f - f - 2*f).\nAnswer: 20*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 2*k + 66 = d, -4*k - 36 = -2*d. Let v(g) = 10 + d*g**2 - g**2 + 8*g + 6*g**2 + 2*g**3 - 2*g**2. Let j be v(-8). Solve -4*f + 6 + j = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(224)*-2 + sqrt(224))*-5)\/(((sqrt(392) - -2*sqrt(392)) + sqrt(392))*6 + sqrt(392) - 1*(sqrt(392)*2 - sqrt(392))).\nAnswer: 25*sqrt(7)\/84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -11140669 and 4019?\nAnswer: 11144688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 - 4*v + 3. Let c be w(-4). Suppose -2*s + 76 - 90 = -5*x, 2*x = 5*s - 7. Suppose 4 = -2*d + 12. Solve 13 = c*f + s*i - 8, 0 = -2*i + d for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -5*k**2 - 8*k + 6. Let b(z) = -z**2 - z + 1. Let f(d) = -6*b(d) + n(d). Calculate f(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and 548.\nAnswer: 547.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, a: 7}. Give prob of sequence aax.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {j: 3, t: 2, a: 3}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 117\/(-5) - (325 + -350). Let u = -173\/6 + 29. What is the fourth biggest value in u, r, 0.4, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5617 + -5622. Let i(x) = -8*x - 11. Determine i(p).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 minus -229962029?\nAnswer: 229962016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 - 9?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/5100 and -55\/204?\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-3)*(-54)\/(-12). What is the units digit of (4\/j)\/((-6)\/(-9))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.1 (b) -94 (c) -0.1 (d) 7 (e) -53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3780, 3795, 3834, 3909, 4032, 4215?\n\"Answer: 2*o**3 + o + 3777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1118609 at least as big as 1118610?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*n + 2491*n - 525*n.\nAnswer: 1889*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 6:50 AM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 160 divide ((-869)\/(-44))\/((-3)\/(-1752))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - 13*u**2 - 19*u + 205. What is y(9)?\nAnswer: -290","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**3 - 5*v**2 - v + 6. Let r be w(5). Let c = 205 - 191. Calculate the highest common factor of c and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.17 - 0.37. Which is the third biggest value? (a) 3\/5 (b) p (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1072981 and 69839.\nAnswer: 11802791","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1234133 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46, -80, -130, -202, -302, -436, -610?\nAnswer: -830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v - 11 + 11)*(0*v**4 + 0*v**4 - v**4) + 0*v**5 - v**5 + 0*v**5 + 7*v**2 - 6*v**5 + 3*v**5 + 2*v**5 + (-2*v**2 - 3 + 3)*(3*v - 3*v - 3*v**3).\nAnswer: -v**5 + 7*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 119*y**5 + 799*y wrt y?\nAnswer: 2380*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 19 = 512*n - 517*n, -2*z - 1 = n for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -h + 26, 116 = 3*h + 2*b - 47. Let w = -199 - -359. Let o = w - h. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 4*a - 6. Let r be 2 + a + -1 + 0. What are the prime factors of 13 - r*(-1 + 0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117110 rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 + 13. Suppose -p = 0, -4*q - 3*p = -v*q - 136. Is 8 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3825 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 33*a + 364. Let q be y(-11). Put -2, -275, q in descending order.\nAnswer: q, -2, -275","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 98*i**2 + 35*i - 35. Let a(t) = -11*t**2 - 4*t + 4. Let j(g) = 35*a(g) + 4*w(g). Let f(s) = s**3 - 4*s**2 - 3*s + 11. Let z be f(4). Calculate j(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 211 + 184. Is r 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 12669?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1179735726?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of -q**5\/60 - q**4\/2 + 89*q**3\/6 - 113*q**2. Let i be a(-17). Let g(x) = -x + 13. Calculate g(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*h**3 + 1680*h**2 + 77268*h - 106032.\nAnswer: 3*(h + 94)**2*(3*h - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -398 - -860. Is g a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(g*g**(-2))*g)*g)**40\/(g**1)**(-1\/71) assuming g is positive.\nAnswer: g**(-2839\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 10 = 2*v. Let p be v\/(-4) - 11\/22. Solve p = -2*z - 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 702 and 243.\nAnswer: 6318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1)\/(-1))\/(6\/(-606)))\/(66\/((-396)\/6))?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 10) in base 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 255 + -255.2. What is the second smallest value in 21, -1\/8, -1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 v when three letters picked without replacement from {v: 1, t: 3, p: 4}.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/129*89*(-636)\/(-150944).\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q**2 - 5*q + 2. Let w be s(3). Let t = 139\/4 + -34. Which is the nearest to 1\/3? (a) 0.3 (b) w (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - 6*d. Suppose -2*v + 16 = 4. Let l be m(v). Suppose -3*i + 41 - 11 = l. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 + 61*h**2 - 183*h. Give u(-64).\nAnswer: -576","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 AM and 2:00 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of -w**5\/20 - w**4\/2 + w**3\/6 + 7*w**2\/2 + 3*w. Let o = -58 - -52. Determine d(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 2 - 6)*(5*r - 5*r - 3*r**2) + (-13*r - 1 + 1 + (-6 + 3 + 1)*(-4 + r + 4))*(-1 - r + 1) to q*r**2 + a + o*r and give q.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 66289114 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-78)\/(-6955)*2*(-5)\/(-3176). Let k = m + 94303359\/594706. Let y = 154 - k. Which is smaller: -6 or y?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-10)*d)\/((d**(-4\/5)\/d)\/d)*d*(d*d\/(d\/d**0)*d)\/d*d*((d\/((((d*d*d**(-1\/6))\/d)\/d*d)\/d))\/d)\/d assuming d is positive.\nAnswer: d**(-121\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 21222492*n - 21222496*n - 3.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 3 + 3)*(-9 + 18 - 45).\nAnswer: -72*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 898707.\nAnswer: 4493535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w = -96 + 200 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, f: 2, q: 12, i: 1}. Give prob of sequence kiik.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - -6. Let u = 7 + -5. Suppose u*a = 275 - 51. Calculate the highest common factor of v and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 12, 2, -32, -102, -220, -398, -648?\n\"Answer: -2*q**3 + 4*q + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -5*n**3 - 58*n**2 - 19*n + 8. Let u(g) = -24*g**3 - 293*g**2 - 92*g + 38. What is 6*u(t) - 29*x(t)?\nAnswer: t**3 - 76*t**2 - t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-206)\/(-4) - (-1)\/2. Suppose -3*d + 356 = b + 81, -5*d + b + 453 = 0. Calculate the highest common divisor of d and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 69328, 70008, 70690, 71374?\n\"Answer: g**2 + 677*g + 68650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*t**4\/5 - 1116127*t**3\/5 + 372042*t**2\/5 = 0. What is t?\nAnswer: 0, 1\/3, 372042","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 144432556 and 1996.\nAnswer: 1996","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 5:47 PM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9951 - 5778. What are the prime factors of r?\nAnswer: 3, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 20 = 4*s, 4*s = -0 - 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 92*r - 94*r + 10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003222 rounded to 6 dps?\nAnswer: -0.000322","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*h - 16451 = -16937 for h.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 277, -5, -475, -1133, -1979, -3013, -4235?\n\"Answer: -94*j**2 + 371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -80*v + 320. Give o(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 256848 divided by -6?\nAnswer: -42808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 5*d - 135. Determine n(24).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 565244 to the nearest integer?\nAnswer: 752","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 24\/27*(6\/10)\/((-36)\/(-45)). What is the closest to a in 0.3, 14, 3, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3250748 (base 9) in base 14?\nAnswer: -336349","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 + 11*m + 9 - 8 - 2*m. Let r be j(9). Suppose 0 = -2*x + 3 + r. Solve 7 = 4*u - x*a - 17, u = -5*a - 16 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 3\/13, -1\/38?\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u*u**(2\/17)\/u*u)**(-14) assuming u is positive.\nAnswer: u**(-742\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 12226*y**2 + 1. Let u(z) = -3*z + 66. Determine u(r(h)).\nAnswer: -36678*h**2 + 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -2*(-9)\/(-10) + 30156\/420 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2858102.2499621 - -2858039.45. Let r = -62.8 - z. Round r to 6 decimal places.\nAnswer: -0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 65?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of 0*k**2 + 60 + 1\/6*k**3 - 2*k. Factor v(l).\nAnswer: (l - 2)*(l + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2\/5 + 904*l + 4516\/5.\nAnswer: 4*(l + 1)*(l + 1129)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.4634 + -1.5. Round j to 3 dps.\nAnswer: -0.037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192*g = 177*g - 570. What is the nearest to g in -0.5, -2, -0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ac when two letters picked without replacement from ccdamodz?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 28 divided by -11703238\nAnswer: -14\/5851619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**3 - 4*o**2 + 5*o - 4. Let p = -1 - -4. Let n be a(p). Let h = n + -8. What are the prime factors of h?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 284560 and 7224.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 3*c + 20. Let b(q) = q**2 + 8*q + 5. Let o be b(-6). What is the remainder when c is divided by (2 - -4)*o\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1 - 311684?\nAnswer: -311682.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 360.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.7 - -1.7. Are l and 4\/215 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from laaaaaapuaaaal. What is prob of sequence al?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k + 34*k**4 - 41*k**4 + 1 + 1 - 3*k**2 + 3*k**2 - 2*k**4 + 3 - 2*k**4 - 3 + (1 + 2 - 5)*(k**4 + k**4 + 0*k**4) - 4*k**2 + 4*k**2 + k**4.\nAnswer: -14*k**4 + 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 138 + (0\/(-2))\/1. Let g = o - 228. Does 17 divide ((-14)\/3)\/(20\/g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.76 - 1. Let n = o - -0.25. Put 0, -0.2, n in descending order.\nAnswer: n, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00008452995 to six dps.\nAnswer: 0.000085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1085 - -1085 - ((0 - (-3 - -1)) + -115).\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24371 = 1441*m - 7331 for m.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -22975000 rounded to the nearest one million?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1310*b - 826*b = -1936 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/33? (a) 2\/105 (b) 0.5 (c) 51 (d) 2\/37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000064 rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -0.5 (b) -56 (c) 0.4 (d) -0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -5*u - 12, 3*u - f - 2 = 1. Let n be (-22 - -23)*((-2)\/(-4)*-9 - -5). Factor u - 1\/2*b**2 - n*b.\nAnswer: -b*(b + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-780)\/(-6))\/(330\/3432*26)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -97491 and -97491 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = s - 10, -3*t + 2*s - 5 - 3 = 0. Put 1, t, 4\/7, 1\/6 in ascending order.\nAnswer: t, 1\/6, 4\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of -c**4\/24 + c**3\/6 + 2*c**2. Let s be r(-1). Suppose -5*j - 26 = -s*a, -4*a + 2*j + 76 = -2*j. Is a a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*b - b + 3*b)*(46*b + 11887 - 11887) + (4*b - 4*b + b**2)*(-2 + 5 - 1) + b**2 - 4*b**2 + 0*b**2 to w*b**2 + h + u*b and give w.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -y + 6. Let p = 27 - y. Let j = p + -14. What are the prime factors of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3389012671?\nAnswer: 11, 23, 13395307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3124 (base 6) in base 7?\nAnswer: -2020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 48.824 + -10.824. Let t(l) = -2*l + 1. Let z be t(-1). Which is the smallest value? (a) p (b) 4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qwzj when four letters picked without replacement from zjjyjqwwwyqyyw.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 303\/101*1\/(-18*1).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -250351.635 rounded to the nearest 100?\nAnswer: -250400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 159720 times -0.4\nAnswer: -63888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + 9*s + 13. Let b be h(10). Suppose 7*r - 10 = 2*r. Find the third derivative of -w**r - 3*w**b + 2*w**2 + 4*w**3 wrt w.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-six fifths of a millennium?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-4 - 0) - (-135)\/36. Suppose -r = d*t - 4*r + 4, 4*r - 24 = -4*t. Let m(q) = -14 + 14 - q**t - 4*q**2. Let b(i) = -i**2. What is b(m(v))?\nAnswer: -25*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 49*w**2 - 40*w**3 + 55*w**2 - 66*w**2 - 313*w**2 - 284*w**2 wrt w?\nAnswer: -240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 500074?\nAnswer: 2, 250037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k - 12756 = -4150. What are the prime factors of k?\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -1 (c) 3 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34 - 7. Calculate the remainder when 79 is divided by l.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3*c - 50. Let f(h) = h - 49. Let i(s) = 6*a(s) - 5*f(s). Is i(7) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -m**4 + 10*m**2 + 3*m**4 + 0*m**4 + 10*m**4 wrt m.\nAnswer: 288*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13328 is divided by 215?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 9\/101, 2\/3, 12329, -4\/7?\nAnswer: 9\/101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65748388.\nAnswer: 2, 16437097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -91557 (base 12) in base 3?\nAnswer: -100121110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24009 and 66939.\nAnswer: 10107789","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 0 - 0) + -1. Suppose -5*j = -g - 10, -2*j + a*j = -3*g - 4. Let d(v) = 2*v**2 + 0*v**2 - 3*v**j. Let x(n) = 2*n. What is d(x(l))?\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003748375341 rounded to 7 dps?\nAnswer: 0.0037484","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 559361?\nAnswer: 11, 211, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220 is divided by 103?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1575\/2310 + (-1)\/2. Let 2\/11*p**4 - g*p**3 + 0 + 0*p**2 + 0*p = 0. Calculate p.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/36 and 8*142\/(-448) - (-2 + 4)*-2.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hddhl. What is prob of picking 2 d?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**3 + 42*k**2 - 10*k - 29. What is the remainder when c(-21) is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 7 = -4*q - 5*x, 5*q + 4*x = 8. Let s be 3 + -2 + 2 + 13. Solve 5*z = s + q for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + 2*w - 5*w)*(-3*w**2 + 8*w**2 - 7*w**2).\nAnswer: 12*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 273984699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*x - 7*x - 39*x)*(3*x**2 - 4*x**2 + 3*x**2) + (-3*x**2 + x**2 + 0*x**2)*(8*x - 2 + 2) + x**3 - x**3 + 4*x**3 as i*x**3 + p*x + s + k*x**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -59, -2 in descending order.\nAnswer: 2, -2, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.24295619546 take away -14?\nAnswer: 15.24295619546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 5*m + 807, -4*g - 3*m - m = -780. Let h = g - 164. Solve -5*v = 20, -3*z - 5*v = -11 + h for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gggg when four letters picked without replacement from gggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19629729 and 77070?\nAnswer: 196297290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = -34*d + 60. Solve d*g - 19 = 3*p, 2*g + 5*p + 17 = 3*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000832679 rounded to 7 dps?\nAnswer: 0.0000083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -372*i + 3300 + 7720 = -1628 for i.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 - 5*j - 15. Let y be o(7). Let g = 1 - y. Suppose g*s = -6, n = 3*s - 2 + 11. Are -3\/16 and n nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7\/(-21))\/(1\/3). Let w = -981\/7 - -53941\/385. Is w equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2)\/v**5*(v**1*v)**(-4\/17))\/((v*v*v*v\/v**(-1\/3))\/v*v*v*v**(-1\/10)\/v*(v**(2\/3))**33) assuming v is positive.\nAnswer: v**(-17189\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 62*n - 2 - 30 + 12. What are the prime factors of l(6)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142195004 is divided by 2106?\nAnswer: 2096","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -5*g. Let c(o) = o**2 - 6*o - 12. What is the remainder when c(10) is divided by i(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 36, 62, 86, 102?\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i + 3*i**2 - 9 - 6 - 1 + 4.\nAnswer: 3*i**2 + 3*i - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 34.71*-0.8\nAnswer: -27.768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 7 - (-14 + 12 + -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 27\/5 of a century?\nAnswer: 6480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -312022232 (base 4) in base 13?\nAnswer: -79cac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*d**2 + 12*d - 16*d - 14*d.\nAnswer: -21*d**2 - 18*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -10001001000101110001110 (base 2) in base 6?\nAnswer: -240141034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -288*6.2\nAnswer: -1785.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3530 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -53, -81, -113?\nAnswer: -149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - 3*l**2 - 3. Let u(q) = 3*q**3 + 6*q**2 - q + 5. Let a(r) = 5*b(r) + 2*u(r). What is the units digit of a(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*r - 5*r + r)*(38 - 19 - 21 - 1 + 3 + 0 + (-2 + 1 - 1)*(-4 + 4 + 2) - 3 + 3 + 2).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 307636975*i**4 - 53280927*i.\nAnswer: 3691643700*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 52486, 52480, 52486, 52516, 52582, 52696, 52870, 53116?\n\"Answer: 2*q**3 - 6*q**2 - 2*q + 52492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3294 by 9.\nAnswer: -366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7250 - -6233. List the prime factors of p.\nAnswer: 97, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 0 + (-51 - -42) + (0 - -15)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 30, 49, 68, 87?\n\"Answer: 19*q + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17033*a - 19509*a + 2156*a - 2324*a to the form j*a + l and give j.\nAnswer: -36710","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 5:30 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 45, 111, 261, 537, 981, 1635, 2541, 3741?\n\"Answer: 7*l**3 + 17*l + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(153) + 0)**2.\nAnswer: -765","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24822 and 247038?\nAnswer: 5187798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-20)\/(-144) - (-2)\/9. Let y = -1\/9 + s. Suppose b - 5*k - 13 = 4*b, -10 = 4*b + 3*k. What is the third smallest value in y, -4, b?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 7*p - 21. Calculate the least common multiple of 10 and z(9).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5d0 (base 14) to base 10.\nAnswer: 1162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 0*n + 0*n)*(-2*n + 2*n - 3*n)*(-n + 1 + 0 - n).\nAnswer: -18*n**3 + 9*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(190) + sqrt(190)*-5))\/(-5*sqrt(120)\/sqrt(12)) + 4.\nAnswer: 4 + 12*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -4881713.\nAnswer: 2\/4881713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4766572 is divided by 250872?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*s - 37762 - 9575 = 1423*s for s.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2582347 divided by 39.\nAnswer: -2582347\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4870 by -487.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 216282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 0 = 3, -5*t + 5*s + 80 = 0. Suppose -5*y - 36 = 2*q, 5*q + 468 = -5*y + 408. Which is the third smallest value? (a) y (b) 1\/3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 5:15 AM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h**2 + 59*h - 144. Determine r(-32).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 1) + -13 + (17 - 10)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rqczrclqcrccq. Give prob of sequence cq.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 83\/2 + -134\/3. What is the common denominator of u and -151\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -10*w + 26 - 38 + 48 + 4. Calculate y(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 - -3. Let g(p) = p + k - 11 - 7. Let j(u) = 9*u**2 - 12*u - 12. Let w(b) = -b - 1. Let c(y) = -j(y) + 12*w(y). What is g(c(x))?\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -5*r**2 + 9*r**2 + 0*r**2 - r**2 + 5*r - 5. Let t be 1*-3 - (2 - 1). Let b(c) = c**2 + 2*c - 2. Give t*s(v) + 10*b(v).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-26)\/7 - 2\/7. Let b be 6 + -1*o\/(-2). Let h(r) = -2034*r + 1017*r + 1020*r - 6. Calculate h(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 7 = 2*s + 4, s = -4*l - 65. Let k = l - -22. Solve -4*b - 31 = -4*z + 1, -k*b - 2*z - 19 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 16467?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/4*(1 + -5) + 705. Suppose h = 6*n - 2122. Let s = n - 673. Round s to the nearest ten.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -55 - 53?\nAnswer: -a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11206\/561 + 1028\/51. Let t = 4.28 + -0.48. Let p = t + 0.2. What is the nearest to -1 in w, p, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 AM and 8:36 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -0.3, 4, 2\/3 in increasing order.\nAnswer: -0.3, -0.1, 2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80610 and 1920?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18849 and 1647.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000005844439 rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/16, -2, 3\/5, -2\/23, 141 in descending order.\nAnswer: 141, 3\/5, 3\/16, -2\/23, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9939, 30, -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-2)*4 + 6 + -3. Suppose -2*u = -5*r + 106771, -31183 - 75584 = -f*r + 4*u. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwnneanwhnnwnhnaacan. Give prob of picking 1 h and 1 w.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**2 - 8370*d + 199152 = 0. What is d?\nAnswer: 24, 2766","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l - 4. Let u be i(3). Solve 3*y = -x - y - 18, u = 3*x - 2*y for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in 34, 312, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/417 (b) 8 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f - 511. Let p(o) = 10*o**2. Give y(p(w)).\nAnswer: 10*w**2 - 511","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 21 = -0*o. Let a = -18 - o. Suppose a*w + 77 = 3*s + w, s - 27 = 2*w. What is s rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2394*z. Let v(n) = -n**2 - 38. Give v(g(a)).\nAnswer: -5731236*a**2 - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-22)\/2)\/(((-434)\/(-14))\/(-93)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 7*a**2 - 73*a + 269. What is the remainder when g(4) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + e4?\nAnswer: e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 952330.9ms to nanoseconds.\nAnswer: 952330900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**4 - 33266*m**3 - 99791*m**2 - 66526*m.\nAnswer: -m*(m + 1)*(m + 2)*(m + 33263)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9*((-6)\/(-15))\/((-8)\/(-20))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -66*p - 319*p - 6545 for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 472*i + 12232 + 11803 = 4683 for i.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*r**6 + r**4 + 1041*r**3 - 919*r**2 + 7*r.\nAnswer: -240*r**3 + 24*r + 6246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 552332194?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 5)*(-4)\/8*60\/(-40)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -12\/11, -1, -666 in decreasing order.\nAnswer: 2\/9, -1, -12\/11, -666","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 times -14841582\nAnswer: -1038910.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 108 + (-4 - 3 - (-35 + 20)) + -14 + -1?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a millimeter in micrometers?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/2073792 and 73\/392.\nAnswer: 14516544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 2\/5, -2, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 4\/7, -17, -0.3, 2\/3?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m - 6. Calculate g(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(96)*2 - sqrt(96))*-5 + sqrt(96))\/(6*sqrt(72)\/(sqrt(9)*4)))**2 + 0.\nAnswer: 256\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 1:25 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence af when two letters picked without replacement from afaaffff.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 + 20. Suppose 5*q + 15 = x*q. Let o(m) = m + 3. Give o(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 167564360*d**4 - 2*d**2 + 105751776.\nAnswer: 4021544640*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7469 - 7470. Let j = -8 + 5. Let u be 3*1*6\/9. What is the closest to d in 3, u, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 510 - 359. Let c = s + -130. Suppose 4*z - 6*z + 2*g = -92, 0 = -2*g - 10. Calculate the remainder when z is divided by c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d*l**5 - 126*d*l**4 + 3*d*l**2 - 13*d*l - l**3 + 2 wrt l?\nAnswer: 60*d*l**2 - 3024*d*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 70530?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 384323 (base 12) to base 8.\nAnswer: 3404313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does -4068078 = 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27755, 27705, 27651, 27593, 27531, 27465?\nAnswer: 27395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of 30*y**2 + 0*y**5 + 1\/2*y**6 + 0*y + 76 + 0*y**3 - 3\/4*y**4. What is the second derivative of p(v) wrt v?\nAnswer: 60*v**3 - 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 g when three letters picked without replacement from gggsjygyqygjgyj?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 z when two letters picked without replacement from {z: 2, c: 3, e: 1, u: 4, n: 4}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hr when two letters picked without replacement from {x: 2, t: 1, h: 5, r: 1}?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -6) + 5 + -8\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 bigger than 118045?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 AM and 12:34 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -190 - -256. Is 6 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/12*(3 + (-30)\/16).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3397\/212 + -2987473\/3180. Let g = -924 - d. Find the common denominator of -8\/45 and g.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*m + 272*m + 76*m + 36504 = -495*m for m.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 w, and 1 q when three letters picked without replacement from syqaw?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -6. Suppose -2*l = -3*f - 1 - t, 4*f + 15 = -l. Suppose -3*y - 3 - 9 = 0. Sort y, 4, f.\nAnswer: y, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/((-17424)\/(-363)*5\/240)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.0748 and 0.3.\nAnswer: 0.3748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -3*q**3 + 5*q**2 + 3*q - 1. Let y be a(3). Let o be 10\/(-5) - (-7)\/(y\/(-8)). Let l(s) = -s**3 - s**2 - s - 2. Determine l(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t. Let u(i) be the second derivative of -i**5\/20 + 7*i**2\/2 + 2*i. Let y(p) be the first derivative of u(p). What is y(m(f))?\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 33178 times -0.73?\nAnswer: -24219.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5395*v + 92308 = 54698 - 194375 for v.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 14020054.\nAnswer: 84120324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 115284 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: Solve y - 9 = -3*o, 3*y + 267835 = 267817 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Is 8521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 230 = 3*o, -4*x - 2*o + 239 = 7. What is the remainder when 136 is divided by x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 307 - 306. Solve -2*h - 3*y = 23, 2*h - 3*y - 6 - w = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84039378 is divided by 90?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/10965053 or 1?\nAnswer: 4\/10965053","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 120 + -116. Suppose -m*x + 736 = 4*x. What is the highest common divisor of x and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1134 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 6*(-1*(sqrt(243) + sqrt(243)*2)*-5)**2)*-6*3.\nAnswer: -5904990","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36358, 79211, 122064, 164917, 207770?\nAnswer: 250623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5324315070?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/32275 + 7487613\/6035425. Let v = p - 18\/17. Put -1\/2, v, 3\/7 in descending order.\nAnswer: 3\/7, v, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6912128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -676*k + 10690. Calculate z(16).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14839 and 3366553.\nAnswer: 2629277893","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1135 (base 15) in base 6?\nAnswer: -24522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -6 + 0 - 2*x + 1 + 0. Let h(z) = -4*z - 3. Let l(p) = p. Let c(n) = -h(n) - 3*l(n). Let v = -2 + 5. Determine v*d(g) + 5*c(g).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 235426*t**6 + 87*t**5 - 1024524*t**2 + 3.\nAnswer: 28251120*t**3 + 5220*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -5*d**5 - 6025*d**4 - 2424050*d**3 - 327236050*d**2 - 647224025*d - 322406005 = 0.\nAnswer: -401, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 - 100020022202?\nAnswer: -100020022222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/28)\/(-5)*140\/42.\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -101010000 (base 3) in base 7?\nAnswer: -30330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -4. Let p = c + 6. Calculate the greatest common factor of 88 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-392)\/224 + (-21)\/(-108) + 1\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bw when two letters picked without replacement from {c: 3, m: 1, b: 5, w: 3, k: 7}.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1524, -1667, -1898, -2211, -2600, -3059, -3582, -4163?\nAnswer: -4796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51094*m**2 + 25550*m**2 + 25544*m**2 - 38*m**3 + 12*m**3.\nAnswer: -26*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 195 - 27 = 3*m. Suppose 2*y = -1 + 3, y - m = -5*r. Calculate the remainder when 21 is divided by r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -2\/15, -3\/5, -2\/7?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 8*k + 82. Give h(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5378900 or 5378901?\nAnswer: 5378901","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -252*s - 11458 + 7834 = 151*s + 41109 for s.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23*0.05.\nAnswer: -1.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -24*s. Let x be 134\/168 + (-955)\/1337. Let c(d) be the third derivative of 0 - 42*d**2 + 0*d + x*d**4 + 0*d**3. Give i(c(g)).\nAnswer: -48*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, -71, -3\/59, 2\/23, 1?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 4 in descending order.\nAnswer: 5, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000536375039 to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and 542.\nAnswer: 542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 136487*u**2*y + u**2 + 2*u*y - 2*y - 15481 wrt u.\nAnswer: 272974*u*y + 2*u + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/8 in -3, -6, -6811?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1494 = -74*k - 92*k for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express a - 510 - 64*a**2 + 67*a**2 - a**3 + 384 in the form v*a + r*a**2 + n + u*a**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 147028393 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 10 = 4298*g - 4294*g, 5*g = -3*i - 26 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmw when three letters picked without replacement from {m: 10, w: 4}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10443 + -5?\nAnswer: -10451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4616.076l?\nAnswer: 4616076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1550 is divided by 97?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 310*y**2 + 2*y + 1. Let r(d) = d - 3. Let p be r(2). Let h be b(p). Let m = h + -186. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiibobb. Give prob of picking 2 b.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8282 and 328?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(68) + 2)*-5*6 - (-4*(-2*sqrt(68) + sqrt(68)) + sqrt(68))*-2))**2.\nAnswer: 76800*sqrt(17) + 492800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -656261 (base 12) to base 2.\nAnswer: -110001000011011101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3.9? (a) -2\/13 (b) 0.21 (c) 0.1 (d) 108.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1329 - 985. Calculate the greatest common factor of 64 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 4 = 5*r, 0 = 4*r - 0*r + a - 6. Let k be 1 - (-2 + -3 + r). Suppose 3*j = -0*j + 9. Solve 5 = -2*q + 3*i, 17 = -j*q - i - k*i for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 2*t. Solve t = -v - 2*v - 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4955, -10266, -15567, -20852, -26115, -31350, -36551?\nAnswer: -41712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 11*m + 15. Let n be g(-8). Let b = n + 36. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -30*3\/(-15)*2. Suppose -z = 5*y - 37. Solve -3*f - 2*f = -y for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 106.1 + -106. What is the nearest to -2\/7 in 0.2, y, 2\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 2469 = 3*g + 2454, 21 = 2*g - 5*s for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 107466973 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 273.3 plus -1277?\nAnswer: -1003.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -4, 1\/5, 372\/11, 970?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 + -15. Differentiate d*b**2 - 3*b**2 + 3*b**2 + 0 - 3 with respect to b.\nAnswer: 8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 - 1214201?\nAnswer: -1214134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -8) + (-4 - -3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2025 and 5541210.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i**2. Let y(m) = -8 + 8 + m. Let g be y(-2). Let q(o) = 2*o. Let c(d) = -2*d. Let z(x) = g*q(x) - 3*c(x). What is z(a(v))?\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 40 in -3\/10709, 2\/9, -3.9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3*a**2 - 3*a + 1. Give n(3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -9150 greater than -9187?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26 - -38. Let x = 12.4 - a. What is the second biggest value in -3, 0.1, x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 + 2)*(19*t**2 + t**5 - 7*t**2 - t**2 + 2).\nAnswer: 6*t**5 + 66*t**2 + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**9*u*(u*u**(-1\/9)*u)\/u*u\/(u*u**8)*u*u**(14\/3))**(-2\/17) assuming u is positive.\nAnswer: u**(-154\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 83 + -75 - ((3 - 3) + -3868)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 18 = 3*c + 2*u, 0 = -c + u - 16. Sort c, -1, -9, -2\/5.\nAnswer: c, -9, -1, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 16 - 2)*(8 + 6 - 11 + 2*d) as c*d + x and give c.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -132*v**2 + 26*v + 193. Let m(h) = 139*h**2 - 28*h - 193. Determine 14*l(w) + 13*m(w).\nAnswer: -41*w**2 + 193","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 4*(6*(sqrt(1008) - (5 + 1*sqrt(1008))))**2.\nAnswer: 3595","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 4*i + 3 - 1, -b + 6 = -2*i. What is the least common multiple of 86\/b + 2\/(-14) and (-1)\/((-10)\/(-6) + -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*b = 12*b + 976. Let q = b + -255. Let g(r) = -r**3 - 10*r**2 + 10*r + 8. Calculate g(q).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooxo when four letters picked without replacement from xxooxxxoooooo.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7567 - 7566.8. What is the second biggest value in n, -2\/57, 3\/8, 0, 0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 5*o = -175, 49640 = -l - 5*o + 49495 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: -320840 divided by -59\nAnswer: 320840\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 13342461, 13342472, 13342483, 13342494, 13342505?\n\"Answer: 11*f + 13342450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2022 is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(-342)\/380*(-8)\/(-2).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -59 - -94. Suppose -2*w - 2*w + 3*v + y = 0, -3*w = -2*v - 26. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t + 216. Let p(n) = n - 50. What is p(j(r))?\nAnswer: -r + 166","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4030*w + 1990*w + 2021*w.\nAnswer: -19*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 91*d**3 - 195*d**2 wrt d?\nAnswer: 546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15\/2 or -51.73918?\nAnswer: -51.73918","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 - 20*i - 63. Let d(p) = -p**2 - 21*p - 63. Let g(j) = -3*d(j) + 2*w(j). Let k be g(-20). Solve k*x = 0, -a = 2*x + x for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*b**3 - 3638288*b + 3638288*b.\nAnswer: -33*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -537 = 29*m - 32*m. Let g = -74 + -9. Let x = m + g. Does 9 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -26, 0, 1, 0.4, 1\/2?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 5*c = 1, -51*c - 6 = -53*c for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.119 + -0.589. Let b = m - -0.470037. What is b rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4928.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 - 36 = 46*h. Solve 4*d = 19*n - 21*n - 10, -5*d + n + 5 = h for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of -23*u**4\/4 + u**3\/3 - 32*u + 54. What is the third derivative of n(c) wrt c?\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (30 - 30 - 4*r)*(2*r**2 - 2*r**2 - 3*r**3) + 4*r**4 - 4*r**4 - 3*r**4 in the form z*r**4 + v*r + u + b*r**3 + x*r**2 and give z.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 7, 3, -30 in ascending order.\nAnswer: -30, 3, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -80 - -82. Solve 246 - v*b**2 - 12*b**3 - 246 = 0 for b.\nAnswer: -1\/6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 PM and 10:01 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 29924 divided by -4?\nAnswer: -7481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -1\/4*t**2 + 11\/2*t - 105\/4 = 0.\nAnswer: 7, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from rruururiuui.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 449165325?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.05 + -0.95. Let p = 2\/1949 + -3904\/5847. Which is the closest to p? (a) h (b) -2\/5 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -881057, -1762147, -2643237?\n\"Answer: -881090*n + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -5*o - 9, -2 = -2*c - 0*c for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 176 or 32225\/182?\nAnswer: 176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5928)\/1092*(-504)\/(-36)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(2\/9)*u**(-5)*u**(-6\/5)*u**7*u assuming u is positive.\nAnswer: u**(91\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.4 (b) 190545 (c) 0.2 (d) 0.1 (e) 0.4 (f) 74\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pdad when four letters picked without replacement from idmdiimadp?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 26499433613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96 and 618848?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -4\/115 (b) 2\/3 (c) -1\/6 (d) -7 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2517, 3317, 4117, 4917, 5717, 6517?\n\"Answer: 800*q + 1717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d**2 + 10*d + 3. Let h be c(5). Let p = 2 + -1.7. What is the third smallest value in p, -4\/7, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in 5\/11, 3, -1\/7, 3\/4, -2\/13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 8 = 2*r, -4*r + 2*r = 4*g + 22. Let v be g\/(-3)*1\/(-1). Let b be (-1)\/v - (-2)\/28. What is the smallest value in b, -1\/2, 4\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 4 + 0)*(0*q**4 + 0*q**4 + 1 - 6*q**4) to z + o*q**2 + k*q + y*q**3 + a*q**4 and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 48 - 21. Let n be l\/(-6) - 1\/((-12)\/(-6)). Solve m - n = -m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -8 and -3488704689?\nAnswer: 3488704681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3179 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -0*k + 20, 5*u - 5*k = -40. Let f(t) = -35*t**2 + 17*t - 21. Let n(h) = 17*h**2 - 8*h + 11. Let m(g) = u*f(g) - 5*n(g). Is m(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of 2*i**3\/3 + 2*i + 2. Let y(b) = 10*b**2 + 11. Let o(h) = -22*g(h) + 4*y(h). Let t(z) = -2*z**2. Calculate o(t(a)).\nAnswer: -16*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6310457?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 times -0.795114?\nAnswer: 19.082736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -0.3171\nAnswer: -0.15855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -22 + 2 - ((-29 - -9) + 11)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -73\/42 - -15\/14. Let u = -1.8 - -3.8. Which is the nearest to u? (a) 1\/3 (b) n (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 56 + 53 = 0. What is the smallest common multiple of 15 and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - o = 1564 + 101, 3*l - 4*o = 1656. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35432, -141720, -318866, -566870?\nAnswer: -885732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2, 863, 2320, 4375, 7034, 10303?\n\"Answer: l**3 + 290*l**2 - 12*l - 281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, s: 4}. What is prob of picking 3 m?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -93.\nAnswer: -5\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -4. Let m(v) = -l + 13*v - 1 - 3 - v**2. Let z be m(9). Solve -2*n - z = 5*b, b + 2*b = -n - 16 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 0.5, -19, -10, 0.4 in decreasing order.\nAnswer: 0.5, 0.4, -2\/7, -10, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1496 and 233750.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16968, 33897, 50816, 67725, 84624, 101513?\nAnswer: 118392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of z**2\/2 - 3*z + 4. Let g be w(5). Let h be (0 - -1)\/(g - 1). Do h and 2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.04 + 0.34. Let s = -0.192 - -0.283. Let t = 0.209 + s. Which is the closest to t? (a) i (b) 2\/9 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144956058 - 144956058 - 13*d**2.\nAnswer: -13*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -7*a - 40. Let u(d) = 4*d + 25. Let m be u(a). Put -2, 1, m, 2 in decreasing order.\nAnswer: 2, 1, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-5)\/(-100))\/(15\/(-60)))\/((-7)\/(-5))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*a**2 - 9*a**4 - 2*a**2 - 2 + 3*a**2 - 5*a**2 + a**3 + 2*a**2 as v + r*a**2 + h*a + m*a**4 + g*a**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bkrh when four letters picked without replacement from llhhrhrkhrrkrllb.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3720 and 34493855?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*q - 64 - 46 + 35 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 363 = -g, 12*l + 3*g = 7*l + 591. What is the greatest common divisor of 3000 and l?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 308 = 11*t + 275. Put t, 68, -4 in ascending order.\nAnswer: -4, t, 68","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 189.95829 months in centuries?\nAnswer: 0.158298575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -32603.89 rounded to the nearest 1000?\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 0. Let m = 6 - r. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -4*v. Let g(j) = 15*j**2 - 11*j. Let y(h) = -5*h**2 + 4*h. Let i(m) = -4*g(m) - 11*y(m). Calculate i(t(o)).\nAnswer: -80*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 0 - (-9 - -9)) + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -2*w - 4. Suppose 0 = -w*k - 12, 3*k - 1 = -5*g - 0. Solve -u - 8 = 4*s, 0 = 3*s + g*s - u + 10 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1904 or -1902?\nAnswer: -1902","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 29326, 117324, 263978, 469288, 733254, 1055876?\n\"Answer: 29328*a**2 + 14*a - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 403 and ((-279)\/(-4))\/(44 - 14309\/328).\nAnswer: 2418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/3, 4, -0.48?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 2 - 9)*(0*z - z + 0*z).\nAnswer: 20*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60, 118, 176, 234, 292, 350?\nAnswer: 408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7150650188 to the nearest integer?\nAnswer: 1927","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - 2 - 7 - (-59 + 69).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 - 11*m**2 + 10*m - 14. Let g be y(12). Suppose -l = 2*x - 528, x + g = 2*x - 3*l. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111909334 is divided by 844?\nAnswer: 842","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1138 times -222.374?\nAnswer: -253061.612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 11*p**2. Let d(u) = -145876*u + 27. What is d(f(s))?\nAnswer: -1604636*s**2 + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90 and 30497340.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 1\/(10\/(-14))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1028464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 59 + -64.1. Let n = o + 5. Which is the nearest to n? (a) -1 (b) 2 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/(15\/(-6))*1. Let p be 6\/(3\/1) + x. Solve 2*v + 2 = p*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -179872 by -6424.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 131 - 75. Suppose k - p = -22. Suppose -10 + k = w. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21179955 to the power of 1\/4, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*x - 154*x = -96*x + 1824 for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -32, 0.1, 0, 0.593, -4, -15?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1051028 to the power of 1\/4, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 6 = -w, 5*w + 33 = 4*z + 8 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -15*s**3 + 7*s - 5. Let b(h) = 4*h + 372*h**3 + 383*h**3 - 763*h**3 - 3. What is -4*a(j) + 7*b(j)?\nAnswer: 4*j**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 66 - (-757 - -780 - (0 - -34))\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -18*c + 85. Let l be m(4). Solve -3*f = 3*p + 21, -4*p + p = -f + l for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3660?\nAnswer: 2, 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -160388 divided by -4\nAnswer: 40097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 12 = 5*o, -n - o + 3 = -5*o. Solve n*l - 4*r + 12 = -2*l, -5*r = -5*l - 15 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 2*k - 12, -12 = -3*i + k - 3. Suppose -36 = -i*t + t. Let p(g) = -g**3 + 6*g**2 - 4*g + 2. What is the smallest common multiple of t and p(4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffp when three letters picked without replacement from {b: 4, c: 7, f: 2, p: 4, e: 1, q: 1}?\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 2*p**2 - 1. Let z(y) = -3*y**3 + 19*y**2 - 43*y + 19. Let t(i) = 10*h(i) - 5*z(i). Let t(g) = 0. What is g?\nAnswer: 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 42, 77, 112?\n\"Answer: 35*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -22*l**4 - 82680*l**3 + 315958*l**2 - 188112*l - 45144 = 0.\nAnswer: -3762, -2\/11, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.19 - 0.158. Let j = d + -0.332. Let s = 0 - 0.1. Sort j, s, -12 in decreasing order.\nAnswer: s, j, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120*j**3 + 448*j**3 + 103*j**3.\nAnswer: 431*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.12662 and -1.555199118.\nAnswer: -1.681819118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 655836 and 372?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 3*q**2 - 3*q + 4. Give f(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.6 + -3. Let q be ((2\/4)\/(-1))\/(-45 - -46). Put -3\/4, n, q in descending order.\nAnswer: n, q, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23467904659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -92 or -456\/5?\nAnswer: -456\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k = 10 - 17. Let y be ((-3)\/(-1) - k)\/1. Determine f, given that 0 - 2\/11*f**y + 2\/11*f = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/2*-2*24\/30.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 - 18*o - 4. Let h(g) = 3*g**2 + 24*g + 2. Let b be h(-8). Suppose -b*u - 35 = p, -2*u - 20 + 5 = -3*p. Is a(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 99\/136 + -40\/17. What is the common denominator of -6\/7 and l?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t**5 + 320*t**4 + 6585*t**3 + 37730*t**2 - 128260*t - 159720 = 0. Calculate t.\nAnswer: -22, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 4*k**2 + 3*k + 4. What is the lowest common multiple of 4 and u(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26.431 - -6.316. Let o = 0.03 - 20.03. Let s = i - o. Round s to 2 decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/11165 at most as big as 0.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of -1\/6*h**3 + 0 + 0*h**2 + 3*h. Let q(k) = k**2 + 0*k + 0*k. Determine b(q(s)).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by (-4)\/6*(-4 + (-42)\/3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f**2 - 9075*f - 9078 = 0.\nAnswer: -1, 3026","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -62, -120, -216, -362, -570?\nAnswer: -852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (102\/(-8))\/(-17)*484\/33. Solve t*f + 8*f = -114 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25536?\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 6*f - 1153 = 12*f, 0 = -u - f + 1174. Suppose p = 2*m + u, -5*m + 6920 = 5*p + 1095. What are the prime factors of p?\nAnswer: 3, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 567*z - 15 = 566*z. Calculate the least common multiple of 1 and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -39. What is the common denominator of (-69)\/u + 4\/(-2) and 87\/10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -130030234 - 543?\nAnswer: -130031221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 128*z**3 - z**2 + z. Let h(n) = -65*n**3 - n. Give -5*h(o) - 3*v(o).\nAnswer: -59*o**3 + 3*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 4*r = 36*r - 1408. What is the remainder when 1274 is divided by r?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -858\/5 - -172. Is 2.75 less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 86, 184, 264, 326, 370?\n\"Answer: -9*m**2 + 125*m - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1\/6, -4, 2, 0.5 in increasing order.\nAnswer: -4, -1\/6, 0.5, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 533*0.45\nAnswer: 239.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -700, -3, -12 in decreasing order.\nAnswer: -3, -12, -700","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20\/11*x**3 + 0 + 2\/11*x**4 + 28\/11*x + 46\/11*x**2 = 0. Calculate x.\nAnswer: -7, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 209*f*s**2 + 17973*f - s**4 - 45*s**2 wrt s.\nAnswer: 418*f*s - 4*s**3 - 90*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 516587.2 years to months.\nAnswer: 6199046.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + i = -0*i - 12, -46 = -3*v - 2*i. Let a(h) = h**2 - 16*h + 39. Let r be a(v). Solve -2*q = 4*u + 22, -2*q - r = -u + 3*q for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 PM and 12:30 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169 = 10*u - 109. Which is the nearest to u? (a) 1\/7 (b) -0.1 (c) -2\/3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**2 + 146690*k + 146695.\nAnswer: -5*(k - 29339)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/5 of a microgram in nanograms?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -95.3 - -6560155\nAnswer: 6560059.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24055 + -16486. Let a = -98474948065\/13018742 + 5\/1183522. Let i = n + a. Find the common denominator of -63\/10 and i.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3346645?\nAnswer: 5, 669329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 874?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 1033 - 179. Suppose 2*h + 10 = -0*h, -h = -2*r + m. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 5*w + 13 = 0, -2*p - 3*w - 13 = -2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 287971\/232 - -16838\/29. Let z = -1826 + x. Find the common denominator of 51\/14 and z.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2042 (b) 9\/74 (c) 3\/4 (d) -2\/15 (e) 0.5 (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*d)*(3*d - 2*d + 0*d) + 0*d**2 + 0*d**2 - d**2 - 5*d**2 + d**2 - d**2 - 35*d + 24 - 37*d + d**2 + 74*d.\nAnswer: -3*d**2 + 2*d + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66371 is divided by 621.\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -73510, -11.\nAnswer: -73510, -11, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**2 + 3855*q - 145260.\nAnswer: 5*(q - 36)*(q + 807)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -43. What is the greatest common divisor of j and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*d = 2*x - 19, 8 = -x - 2*d. Suppose x*s = y, -2*s = 4*y - 39 + 9. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -4. Let b = i + 7. Let t = -3 + 2. Are t and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -76 + 328. Let x = 289 - z. Suppose 13 = 3*r - 26. Calculate the remainder when x is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y**2. Let x be t(1). Find the third derivative of -3*l**6 + 6 + 8*l**x - 1 - 5 wrt l.\nAnswer: -360*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 654*j**2 - 70*j + 258. List the prime factors of t(4).\nAnswer: 2, 23, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2 (b) 56\/157 (c) 3 (d) 3\/5 (e) -1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*j**2 - 39*j + 57 wrt j.\nAnswer: 4*j - 39","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.47 less than -0.04?\nAnswer: -0.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 6*y - 3*y)*(-4*y**2 + 2*y**2 + 0*y**2) - 4*y**3 + 3*y**3 - y - 2 + 3*y.\nAnswer: -5*y**3 + 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2. Let r(b) = -9*b + 8. Let w(t) = 5*m(t) - r(t). Determine w(3).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 7:19 PM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-2)*u)**(-1\/58)*u**(-4)\/(u\/(u*(u**(2\/13)*u)\/u)))**(3\/10))**(1\/8) assuming u is positive.\nAnswer: u**(-8661\/60320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*y = -8 - 286. Solve -7*g - 20 = -3*g, 3*l - g - y = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 107127?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*d - 72 + 72)*(4*d**4 + 0*d**4 - 5*d**4) + 2*d**5 + 2*d**5 - 5*d**5.\nAnswer: 8*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44405, 88806, 133207, 177608, 222009?\nAnswer: 266410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from owwwoqowowooooowo. Give prob of picking 1 q, 1 o, and 1 w.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9699 and 795.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2102851, 2102896, 2102941?\n\"Answer: 45*f + 2102806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l**(-1)*l*l)**(-1\/5)\/(((l\/(l*(l**5*l)\/l))\/l)\/l**(-1\/7)) assuming l is positive.\nAnswer: l**(184\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41709?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/9 at least as big as -39195396?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -5*x**3 - 4*x**2 - 3*x - 3. Let u = -21 - -23. Suppose d + 3 = u*d. Let c(l) = 6*l**3 + 5*l**2 + 4*l + 4. Calculate d*c(v) + 4*h(v).\nAnswer: -2*v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002492844177 rounded to 7 decimal places?\nAnswer: 0.0000249","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from rrrrbrrxrrr.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31 - -34. Let v(u) = -3*u**2 + 2*u - 3. Let z be v(l). Let x = z - -27. Solve 4*q - 36 = 5*s, -x*s + 2*q + 4 = 6*q for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 51 + -20. Suppose -1 = -8*u + b. Solve -a + u*a = -3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1118774750?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 86 + -92. Let b(o) = o**2 - 4*o - 55. Let g be b(p). Solve 0 = -2*v + x, 0 = 4*v + g*x - x for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 at least 243\/244?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3ede (base 16) in base 15?\nAnswer: 4b7e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r - 6*r = -1912. Suppose 2*v = -2*v - 48. What is the common denominator of 20\/30 + r\/v and -65\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7028\/5 + 1416. Let g be 110\/143*548\/10. Let x = 8937\/208 - g. Find the common denominator of x and s.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 1 + (6 - (-3 + 13)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 317*a - 50680 = -51314 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26 by 11.\nAnswer: -26\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 - 4*x + 0)*(-79 + 21 + 40) + x - 4*x + 5*x)*(-56*x**3 + 16*x**3 + 9*x**3) as o + p*x**3 + q*x + s*x**4 + b*x**2 and give s.\nAnswer: -2294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 2 + 1)*(1 + 3*i - 1) + 4*i + 2*i - 4*i + 5*i + i - 3*i)*(-214 + 214 + 50*i**2).\nAnswer: 550*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p - 7. Let k be l(-5). Solve -k = -3*v - 18 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (281 - 281 - 105*o + (o + 4*o - 3*o)*(1 - 4 - 4))*(-2*o**3 + 2*o**3 + o**3).\nAnswer: -119*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 AM and 6:32 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (((-1)\/(-6))\/((-1)\/4))\/((-550)\/178200*-5076)\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 11. List the prime factors of u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/256513 and -1\/42211?\nAnswer: 3334669","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2233, -4451, -6607, -8671, -10613, -12403?\nAnswer: -14011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 5*j**2 + 27*j + 78. Calculate q(-5).\nAnswer: -307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3042 is divided by 145.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -21313*b - 31*b**2 - 8*b**3 + 21275*b - 15*b**2 = 0.\nAnswer: -19\/4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8*1464626\nAnswer: 11717008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 3 - 1309*b**2 + 942*b**2 + 373*b**2.\nAnswer: 6*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide ((-16)\/(-6))\/((-4)\/(-114))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 228 and 1831068.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v + 3 = 43 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86145781?\nAnswer: 167, 515843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5824 + 5828. Solve -d - 4*j = -f, -10 = -20*j + 15*j for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - -4)\/(7\/(-273)). What is the common denominator of 30\/q - (-2026)\/156 and -61\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 4*b - h - 304, 0 = -h. List the prime factors of b.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 32, -4 in descending order.\nAnswer: 32, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 0.4, 6\/71, -0.76, 3?\nAnswer: -0.76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 751348, 751345, 751342, 751339, 751336?\n\"Answer: -3*f + 751351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/15))**(12\/7)\/(p*(p\/(p\/(p\/(p*p**10))))\/p*p*p**(1\/19)))**(-23) assuming p is positive.\nAnswer: p**(-133354\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together -512.980408 and -120.8.\nAnswer: -633.780408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 276, 254, 218, 168, 104?\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*v = 0. Suppose 0 = -v*y + 2*y. Suppose -l + 48 = -y*l. Is 20 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -247215 + 243517.79. Let y = f - -3645. Let j = -53 - y. Round j to 1 dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/7 (b) -0.24 (c) 3 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -12*b + 60. What is d(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3233?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 10300 (base 5) to base 2\nAnswer: 1010111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1717452 divided by 572484?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = j - 8, -b = j + 4*b - 26. Find the first derivative of j - 3*h**2 - 3 - h**2 wrt h.\nAnswer: -8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - u - 3*v = -9, 2*v - 6 = -u. Let x = 7 - 1. Suppose -5*m = t - x*m - 20, 3*t + 3*m = 36. Solve 4*c + u*c + t = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1296 and 6224.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26530051 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a millennium in decades?\nAnswer: 1550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26423007.\nAnswer: 3, 13, 73, 9281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, i: 8}. What is prob of sequence iiii?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/3)\/(-1)*13*(-17)\/1768?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + -227400?\nAnswer: -227404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-20)\/230 + 50\/46. Is c + 42\/(-38) - (-15408)\/171 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2*o - 7 = 4*i, 0 = -3*i - 2*o. Suppose -80 = -6*c - i*c. Solve -c = -4*s - s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2503255 - 1?\nAnswer: 2503254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4099*v - 2863 wrt v?\nAnswer: 4099","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.33 + 0.13. Let t = 108.1 + -108. What is the closest to t in -11, -5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k - 68 = -26*k. Solve 0 - 24 = x - k*d, 4 = 4*x + 4*d for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - -4. Let s = 16 - 42. Let q = s + a. What is q rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 100039459 to the nearest integer?\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 8*s**2 - 3 - 2*s**2)*(3*s**2 - 3*s**2 + s**2).\nAnswer: 6*s**4 + 3*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 0.064\nAnswer: -0.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/10 of a kilometer?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - (-33 + (7 - 17))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50, -4, 1, 5 in descending order.\nAnswer: 5, 1, -4, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 276411482?\nAnswer: 2, 43, 3214087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -4*a**3 + a + 10. Let t(r) = 1. Determine m(i) - 4*t(i).\nAnswer: -4*i**3 + i + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 + 2 + -36)*(-6)\/(-4). What is the tens digit of n\/9*3\/(-5) - -61?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + 5*x**2 - 33*x - 6. Let k = -564 + 568. Let d be p(k). Solve -2*n + 4*j + 9 = 3, -2*n = -2*j - d for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1653*g*h + 8*h - 6 wrt g.\nAnswer: -1653*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2961 - 1642. Suppose 15 = 1324*v - g*v. What is the remainder when 15 is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 204*t**3 - 3454*t**2 + 62*t**3 + 3456*t**2.\nAnswer: 266*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 157060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/3*(-108)\/(-72) + 12. Let h = -0.9 + 1. Which is the second biggest value? (a) -1 (b) h (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, g: 3}. Give prob of sequence ggvv.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*a + 50 = -6 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -164*j**3 - 5*j**2 - 77. Let d(k) = -822*k**3 - 24*k**2 - 384. Let r(i) = -5*d(i) + 24*s(i). What is the derivative of r(y) wrt y?\nAnswer: 522*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -452*a**3 - 6*a**2 - a - 3. Is 6 a factor of x(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -345.8 or -195562?\nAnswer: -195562","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31 - 2. Let l = -27 + i. Is l\/(-4 - 766\/(-191)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8 - (-15)\/5) + 16\/(-4). Sort -2, s, -0.5, 13.\nAnswer: s, -2, -0.5, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0183633 to four decimal places.\nAnswer: -0.0184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 113 + -64. Suppose 54*b - 5 = a*b. Let t be 20\/9 - (b - (-28)\/(-36)). Solve 31 = -5*l + 3*h, -l - 9 = t*l + 3*h for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, -243, -779, -1585, -2655, -3983, -5563, -7389?\nAnswer: -9455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of r**2*v**3 - 9994*r**2*v + 2*r**2 - 17595*r*v**2 - 9*v**3 wrt r.\nAnswer: 2*v**3 - 19988*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 1\/4 (b) -84 (c) -2\/7 (d) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 63*g + 91. Let y = -360 - -364. Let f(u) = 7*u + 10. Suppose -123 = 5*a + 52. Let v(x) = a*f(x) + y*j(x). Differentiate v(i) with respect to i.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 2:32 AM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -25496*(1\/((-2)\/45*3) - -7).\nAnswer: 2, 3187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/18 + (-8)\/(-3). Let d(z) = -101*z**p + 111*z**2 - 2 - 7. Let s(l) = 2*l**2. Calculate s(d(t)).\nAnswer: 200*t**4 - 360*t**2 + 162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 22328 - 4?\nAnswer: 22324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of -b**3\/3 - 2*b**2 + 28*b + 92. What is the first derivative of u(o) wrt o?\nAnswer: -2*o - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/5)\/k)**(-9)*(k*k*k**2)**33 assuming k is positive.\nAnswer: k**(696\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -0*w + w - 123, -3*p - 3*w = -99. Suppose 0 = -f + 46 + p. Suppose f = 3*i - 128. What are the prime factors of i?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2167, -1533, -5233, -8933, -12633?\n\"Answer: -3700*g + 5867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + 3 - (-8)\/(-2). Let h = v - -4. Let p(t) = 2*t - t + 3*t - 2 + t**2 - 2*t**h. What is p(5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 2:32 AM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*q**2 - 7*q**3 + 22*q + 0*q**2 + 6*q**2.\nAnswer: -7*q**3 + 22*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t - 2. Let v be y(-3). Let k = -2.955 + -0.045. Which is the second smallest value? (a) -2\/15 (b) v (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of 7*g**4\/4 + 5*g + 11. Let h(u) = u**2. Determine h(o(j)).\nAnswer: 441*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 132 - 1032101?\nAnswer: -1031303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - 6*q**2 - 7*q + 6. Determine p(-3).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 3*t = -9. Let c be ((-6)\/(-8))\/(t\/24). Let b(p) = -p**3 + 7*p**2 - 5*p + 2. Determine b(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 18, -5, -1, -4 in decreasing order.\nAnswer: 18, -1, -4, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 234 + -32. Suppose 0 = -252*w + 250*w + u. Calculate the remainder when w is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.4 (b) -92 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) + -2 + sqrt(252))*2)**2 + 4*(sqrt(252) + 0)**2 + 5.\nAnswer: -192*sqrt(7) + 5061","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -4*o**3\/3 - o**2\/2 + o + 2. What is z(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1494, -1467, -1394, -1251, -1014?\nAnswer: -659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*u + 4*u - 80*u**2 + 0*u.\nAnswer: -80*u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a - 2*a - 5 + 7*a**2 - 6*a**2. What is the units digit of u(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 13) in base 7?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of -i**4\/24 - i**3\/6 - 11*i**2. Give v(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1915930 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/6 and 1\/(-3) + 1835\/150?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 4*n + 16 = 0, 6*u = 2*u - n + 4 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6139 to the power of 1\/2, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**3 + 38*l**2 + l + 31. Let h be y(-19). Let n be ((-8)\/((-72)\/1725))\/(2\/h). What is n rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.76 + 0.24. Let u = t + -5.9999985. What is u rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 442637 is divided by 110.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1787 + 1369 = 50*f - 1052 - 342 for f.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -453886, -453888, -453890, -453892, -453894, -453896?\nAnswer: -453898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 168 or 677\/4?\nAnswer: 168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.16 * -789\nAnswer: 126.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 - -25. Let z = h + -8. Let o = z - 1.999987. Round o to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 68058043 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -32*u - 23. Let g be b(3). Let x = g - -225. What are the prime factors of x?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.68492 litres in millilitres?\nAnswer: 8684.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 6*u**4\/7 - 12112*u**3\/7 - 1328790*u**2\/7 - 441584*u\/7 = 0?\nAnswer: -104, -1\/3, 0, 2123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61339, -247721, -558359, -993253, -1552403, -2235809, -3043471?\nAnswer: -3975389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18203 a multiple of 219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2*m = 0. Suppose -k - 8 = -2*f, 5*k - 2*f - 3 + 19 = m. Let l(z) = 3*z**2 + z - 2. What is the units digit of l(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*t**3 - 8*t**2 - 50*t**3 + 8*t**2.\nAnswer: -40*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 47 - 50. Let v be (3 - -15)\/(6\/4). Let b(d) = 12*d**2 + 4*d**3 - 1 - 3*d - v*d**2 - d. Let y(x) = x**3 - x. Give n*y(k) + b(k).\nAnswer: k**3 - k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 0.2 (b) -1.6 (c) -1\/3 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2 and -984798247.\nAnswer: -984798247.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6*7626.765.\nAnswer: 4576.059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8\/19421 - -58354906\/128819493. Let m = s - 6\/737. Factor -4\/9 - m*a**3 + 4\/9*a + 4\/9*a**2.\nAnswer: -4*(a - 1)**2*(a + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48253803 a multiple of 3723?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.04 + -0.26. Let g = 15605.9 + -15615.9. Which is the smallest value? (a) z (b) g (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 15*f**2 - 23*f + 5. Calculate n(-13).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0.4, 2\/9, -0.05, 395, -32, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -495*d + 506*d = -275. Put 5, -24, d in descending order.\nAnswer: 5, -24, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + 0)\/(1\/(-2)). Suppose 5*c + 3*p - 279 = c, l*p + 294 = 4*c. Suppose 0 = 4*x + 180 + c. Round x to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49\/18 - 20\/9. Let r = 20 + -4. Let y = -3815\/9 + 424. Put r, h, y in descending order.\nAnswer: r, h, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -14. Let k = d - -5. What is the second derivative of 2*u**5 + k*u - u + u**5 wrt u?\nAnswer: 60*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (212\/583)\/(2*-1)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 - (59 + -30 + -33 - 34)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 983482 to the nearest integer?\nAnswer: 992","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11691282.\nAnswer: 2, 3, 599, 3253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 4*m - 3. Let o(a) = -m - 4 - 3 + a**3 + a + 4. Let j be (0\/(-2))\/(-2 + 0). What is o(j)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 479 + 481 - r - 960.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-6)*q\/((q*q**9)\/q))\/((((q**(-1\/12)*q*q)\/q)\/q)\/(q*(((q\/(q**(-5\/2)*q*q))\/q)\/q)\/q)) assuming q is positive.\nAnswer: q**(-173\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d**(1\/14)*d))\/(d**(1\/5)*d))\/((d\/(d\/(d\/d**3)))\/d**(-9)))\/((((d\/d**(-6))\/d)\/d*d*d**(-7)*d)\/((d\/(d\/d**(-1\/2)))\/d)**(8\/3)) assuming d is positive.\nAnswer: d**(-859\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 4*a - a + 528, u - 2*a = -143. Let b(o) = -11*o + 160. Let h be b(14). Is (-2)\/h*(-4 - (2 - u)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2202 (base 5) in base 4?\nAnswer: -10232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/59, 0, 9\/878?\nAnswer: 4\/59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 6*o + 159. What is w(-25)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 128 + -125. Let h(d) = 7*d - 19. Let l be h(m). Let y(g) = -l*g**2 + 6*g**2 + g**2 - 4*g**2 - g + 2. Calculate y(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32016?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3434*c**2*f**2 + 132*c**2*j - 3*c*f**2*j wrt j?\nAnswer: 132*c**2 - 3*c*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 16) to base 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 7 = -o, -f + 0*o - 4 = -2*o. Let n be 8*1\/f*-1. Calculate the greatest common divisor of 16 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11505615 is divided by 213?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29\/5 - -52\/15. Does n = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3255*u + 474*u = 82038 for u.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3109\/869 - -19\/79. Let d = -1 + 1.2. Which is bigger: v or d?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00036034 rounded to five decimal places?\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 6*x**2 + 203*x + 1038. Give i(-5).\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 <= -51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 372 and 2532?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 11:26 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 67836 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2485\/8, -0.5, -0.4 in increasing order.\nAnswer: -1, -0.5, -0.4, 2485\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 16 = 16. Suppose -4*f = i + 4, -5*f + 4*i = -2*f - 16. Find m, given that -4\/9*m**3 + q*m + 0*m**2 + f - 2\/3*m**4 - 2\/9*m**5 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 114, 116, 120, 126, 134, 144?\n\"Answer: o**2 - o + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 8.9.\nAnswer: -35.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - c = -44. Suppose 137*g + 137*g = 117*g + 3140. What is the lowest common multiple of g and c + (-2)\/((-2)\/(-1))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 4*x - 2. Let y be k(-2). Let o = -175 - -252. Let l be 6\/y + o\/(-5). Is l less than -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**2 + 0*n**2 + 5*n**2)*(-72*n - 21*n - 17*n)*(-3 + 6 + 0)*(-2 + 2 + n).\nAnswer: -2640*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -105*m**2 + 77*m. Let p(n) = -8*n**2 + 6*n. Give 6*i(o) - 77*p(o).\nAnswer: -14*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 AM and 6:46 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*k - 1 + 6*k + 10*k**2 + 26*k**2.\nAnswer: 36*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 6*d**2 + 18*d + 9. Let h = -4 - 47. Let s = 59 + h. Let q be r(s). What is the highest common divisor of 5 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-160)\/96*(567\/(-15))\/7?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -220499 greater than or equal to -25798385\/117?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -650*a**2 + 5224*a**3 - 5218*a**3 + 1 - 1 to u*a**2 + o + x*a**3 + i*a and give u.\nAnswer: -650","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 95ca (base 13) in base 14?\nAnswer: 7808","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of i**4\/4 + 4*i**3\/3 + 5*i - 10. Let w(g) = -g**3 + 10*g**2 - 4. Let t be w(10). Calculate d(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1339794 and 1161?\nAnswer: 1161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1069 + -1068.9165. Let n = m - 1.0835. Let a = 15.86 - 16. Which is bigger: a or n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-174)\/(-78300)*-330*(-4)\/22?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30774\/11 or 2797?\nAnswer: 2797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -37, -67, -105?\nAnswer: -151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3*t = 0, 0 = -2*d + 2*t + 2. Calculate the smallest common multiple of d and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33 and 209.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3535.7 take away -0.7?\nAnswer: -3535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 89, 353, 777, 1349, 2057, 2889, 3833, 4877?\nAnswer: 6009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000285 rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-42)\/(-8))\/((-6)\/(-24)). Let z = 402 + -171. What is the greatest common divisor of f and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a**2 + 8*a - 54. What is o(-14)?\nAnswer: -558","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.059 - -0.71.\nAnswer: 0.769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -31.6? (a) 2 (b) 0.3 (c) -1.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32 + 33. Which is the closest to l? (a) 0.3 (b) -5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -65 + -23 + (-8 - -10 - -17) + -8?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 + 7*z + 1. Let d be a(-6). Let s be 406\/(-116) + d\/(-2). Let o be (-3)\/(-2)*(-4)\/141. Does s = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 92.8 (b) -5 (c) 0.11 (d) -285\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d**5\/7 + 18085*d**4\/7 + 20186270*d**3\/7 - 42757227080*d**2\/7 + 2498161386080*d - 2689315714688\/7 = 0. What is d?\nAnswer: -1501, 2\/13, 964","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1725242*m**3 - m*q**2 - 351851*q**2 + 2*q - 1 wrt m?\nAnswer: 5175726*m**2 - q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20) + (sqrt(20) - (sqrt(100)*-1)\/sqrt(5)))*4*5)\/(sqrt(440)\/(-2*sqrt(704) + sqrt(704))).\nAnswer: -240*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of w**4\/12 - w**3 - 17*w**2\/2 + 64*w. What is l(8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 10*p - 107. Calculate r(7).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k + 2. Let i be q(6). Let c = 29 + -41. Let r be (-1)\/(i\/c - -1). What is the highest common factor of 66 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/22*3\/9. Which is the closest to 1\/3? (a) z (b) 0.1 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 2, 297, 3, -86, -3, -2 in decreasing order.\nAnswer: 297, 13, 3, 2, -2, -3, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -170 divided by -2.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 84 and 21.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 1:27 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 12*c = -42. Let l(i) = 2*i**3 + 6*i**2 + 12*i**2 - 22*i**2 - c - 12. Is l(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(567) + 1 + 2 + -5 + -5 + (2*sqrt(343) - (0 + sqrt(448))**2).\nAnswer: -455 + 23*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, 9, 52, 145, 306, 553?\nAnswer: 904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-39)\/(-6) + (-6)\/4. Suppose 537 = b*h - 218. Let m = -97 + h. Does 18 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 978766 is divided by 1061.\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = 4*o - 14, 5*o + 5 = -22*m + 17*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 76007 and 289.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 2*l + 2264, -11*m - 4*l = -14*m + 6788. Suppose -4*h = 3*a - m, -8*a = -5*a. What is the hundreds digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11715*b**2 + 974*b + 23432*b**2 - 11717*b**2 + 2 + 2915*b**3 wrt b?\nAnswer: 17490*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - -1) + -30 + -15 + -6 + 14.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*j**2 + 10*j**4 - 15 + 15 - 2*j**2 wrt j.\nAnswer: 240*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2362*f**2 - 931*f**2 + 2561*f + 4460*f**2 - 113*f**2 wrt f?\nAnswer: 11556","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -10, -2\/15, -0.5, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3292778, -6585813, -9878848, -13171883?\nAnswer: -16464918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 7:02 AM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**25\/k)\/(k**(-6\/25)\/k*k))\/(k**33*k*k*k**(-2\/47)*k))**(3\/5) assuming k is positive.\nAnswer: k**(-41304\/5875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -716, 15276 in descending order.\nAnswer: 15276, 2, -716","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16751?\nAnswer: 7, 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 - 18*i**2 - 19*i + 3. Let n be j(19). Solve 2*p - n*r = -2*p - 2, -2*p + 4 = -4*r for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 5 = -4*a - 3, -5*w + 5*a = -10. Sort -2\/5, -3\/2, w, 4, -0.2.\nAnswer: -3\/2, -2\/5, -0.2, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*w - 205 = -73. Sort 28, -4, w in descending order.\nAnswer: 28, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3*x - 7. Let v(a) = 4*a + 6. Give -3*f(q) - 4*v(q).\nAnswer: -7*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of l**6\/12 - l**5\/30 + l**4\/12 + l**3\/3 - l**2 + 20*l. List the prime factors of i(3).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4512?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of w**4\/3 - w**3\/6 - 5*w**2 - w + 2. What is the hundreds digit of q(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of -13*m**4\/24 + 20*m**3 - 3*m**2 + 8*m. Let r be x(0). What is the greatest common factor of r and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c. Let s(v) = v. Let o(i) = i**2 - 6*i + 12. Let t be o(4). Determine t*s(j) + w(j).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1cbb3a64 + -4?\nAnswer: 1cbb3a60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3*d - 4. Let b be t(2). Factor 1173*f + b*f**2 - 590*f - 584*f + 3*f**3.\nAnswer: f*(f + 1)*(3*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.6 (b) 2\/15 (c) -3\/10 (d) -0.5 (e) 2 (f) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 10111010001 (base 2) to base 16\nAnswer: 5d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**11*m*m*m*m**(-3)\/m*m*m*m*m)**36 assuming m is positive.\nAnswer: m**504","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 + 2. Let y(x) = 33 + 0 - 18*x + 16*x. Calculate the remainder when y(-3) is divided by o(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 421 - 249. What is the remainder when s is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86626960.\nAnswer: 2, 5, 7, 154691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 + 2 = 4*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 79 - 52. Let g(f) = 14*f - 84. Calculate the remainder when g(10) is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 655513128191 and -0.05?\nAnswer: 655513128191.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7391 + 13128. List the prime factors of v.\nAnswer: 5737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m**3 - 8*m**2 + 5*m + 5. Let q be i(3). Is 13127 + 25 - 2\/q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (14\/16)\/(140\/1120). Let b(k) = -k**3 - 2*k - 2. Let f be b(-2). Is (84\/f)\/(r\/105) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 35*d - 277. Let a be h(8). Solve -a*j + 6*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*q**3\/11 + 3207342*q**2\/11 - 12829440*q\/11 + 12829464\/11 = 0. Calculate q.\nAnswer: -534561, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3 + 64*w**2 + 3*w**3 + 6*w**4 - 8*w + 3*w - 70*w**2 + w**5.\nAnswer: w*(w - 1)*(w + 1)**2*(w + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 14\/20*(-2 - 477). Let x = -1514\/5 - k. Calculate the common denominator of 38\/30*(-36)\/(-8) and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 595.3 - 593.2. Put v, -0.3, 2\/11, -3, 3 in decreasing order.\nAnswer: 3, v, 2\/11, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3317, 3305, 3283, 3245, 3185, 3097?\nAnswer: 2975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 0, 10, 1.\nAnswer: -3, -2, 0, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180006?\nAnswer: 2, 3, 19, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/10 + (-42)\/10. Calculate the common denominator of (-4)\/16 - 10\/72 and ((-7)\/105)\/(r\/130).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 2, 621, 0 in ascending order.\nAnswer: 0, 2, 14, 621","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s**3 + 4*s**2 + 192*s + 67. Let w be x(11). Which is smaller: 7\/1035 or w?\nAnswer: 7\/1035","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 5*q**2 - 3*q - 1. Give w(-3).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 507416 and 374?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 839, 1818, 2797?\nAnswer: 3776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of -z**5\/20 + 5*z**4\/6 - 4*z**3\/3 + 13*z**2\/2 - 846*z. Determine v(9).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*f*u**4 + f*u**2 + 24*f + 23*u**4 - 2*u wrt u.\nAnswer: -120*f*u + 552*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11493 = -29*v + 10913 for v.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/3 of a year?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 839, 1650, 2433, 3188?\n\"Answer: -14*i**2 + 853*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 - (-12 + 10 - 5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 3*i**2 + 20*i. What is z(-6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.200568 rounded to 2 dps?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - 4*a. Determine u(-4).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 147 + -1031\/7. Put 4\/3, 2\/11, o, 0, -1 in ascending order.\nAnswer: -1, o, 0, 2\/11, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*-1*sqrt(102))\/sqrt(6))**2.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 4*w + 4 = 0. Let d = -2 + w. Suppose 4*h + 49 = 5*k, 4*k - 3*h + d*h - 39 = 0. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/(-2*sqrt(8)) + sqrt(22)\/sqrt(2) + 2 + (sqrt(396) + 3)**2*6.\nAnswer: 433*sqrt(11)\/2 + 2432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -21 (b) 0.063 (c) 2.28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 4*d + 12, 0 = -4*k + 2*d + 6. Suppose -4*a + 51685 = 3*v, 2*a + 2*v - 25840 = -k*a. Suppose 21*r - 5702 = a. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*i**2 - 6*i**2 + 6*i**2)*(0 + 3 - 2) in the form g + q*i**2 + j*i and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 23*y**2 + 9*y + 9. What is c(-1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 31a - -2?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117*j + 15 = 122*j. Suppose j*v - 3*c = -2*v + 33, 2*c + 8 = v. Let d be (20\/12)\/(-5) - 8398\/v. Round d to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 96 and 7065312.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2028 + 2064 + 2*t**3 - 4092.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 441*l - 440*l + 5*t + 43 = 0, 6*t = 9*t + 24 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 482 + -481. Sort -2, j, -2\/5, -1\/4 in ascending order.\nAnswer: -2, -2\/5, -1\/4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 81405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (-7)\/6*8)*120\/(-80)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 470*g**2 - 458*g - 2267. List the prime factors of b(-5).\nAnswer: 61, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -73 - -72.6. What is the third biggest value in 0.1, 1\/5, h, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2127*p + 16 = -2130*p + d, -5*p - 8 = 3*d for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14.1 - 14. Which is the closest to m? (a) -4 (b) 5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 503.0315 millilitres?\nAnswer: 0.5030315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - m = 10, s - m + 4 = 5*s. Suppose -s*c + 51 = -c. Let o = c + 112. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((50\/(-15))\/(1*-22))\/(4201\/151236)\nAnswer: 60\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7491 - -7492. Solve -4*c + s = -13*f + 12*f, -5*f + 17 = 2*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 39229.07 to the nearest 1000.\nAnswer: 39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 - 5*d + 2. Let y be i(-6). Let k(c) = 5*c + 1 + 5*c**2 + 5*c - 6*c + c**3. Let f be k(y). Put -4, f, 2 in decreasing order.\nAnswer: 2, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 439*g*w**4 - 90706*g*w**2 - 474*w**4 wrt w.\nAnswer: 10536*g*w - 11376*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 10:19 PM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwhwsswwhshh. What is prob of picking 2 w?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(77)\/(1*sqrt(11)) + sqrt(567)*1 + 2)**2.\nAnswer: 60*sqrt(7) + 709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 123 and 2982504?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 827 (c) -1\/5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -857, 9, 10071 in descending order.\nAnswer: 10071, 9, -857","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 16704 = -2*x - 47682, 4*x - 24760 = -4*m. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 183.2 times -883.6?\nAnswer: -161875.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -5*u - 22. Let a be y(-5). Put -4, a, 5, -5 in ascending order.\nAnswer: -5, -4, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, h: 1, b: 3, f: 1, n: 3}. What is prob of sequence nfcb?\nAnswer: 3\/880","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of z**4\/4 + 20*z**3 + 32*z**2 + 35. What is the second derivative of a(p) wrt p?\nAnswer: 6*p + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of k**2*m**3 + 7*k**2*m**2*z + 452596*k**2*m**2 - 39217*m**3*z + m**3 wrt z.\nAnswer: 7*k**2*m**2 - 39217*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + q**2 + q + 1. Let f be 2\/13 - 374\/(-442). Let o = 5 + -3. Let x(k) = 3*k**3 - 2*k - 5. Let c(r) = f*x(r) + o*t(r). What is c(-3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 10*v**3 + 4. Suppose 4*c - 20 = -2*k, -4*c + 0*k + 28 = 4*k. Let h(p) = 1 + 0 + p**3 + 2*p**c. Let u = -253848 - -253852. Give u*m(x) - 14*h(x).\nAnswer: -2*x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 4914*w**2 - 2451*w**2 - 521*w**2 as i*w + x + n*w**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 129896 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 6*g + 2*b - 14, 4*b = -4. Suppose 4*x + 9*k - 4*k - 7 = 0, -2*x + 5*k + 11 = 0. Let h = x - 4. Sort g, h, -2.\nAnswer: -2, h, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4050 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7230126, -7230104, -7230082, -7230060?\nAnswer: -7230038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 77604 * 0.1\nAnswer: 7760.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1233*f**2 + 182*f**2 + 2 + 981*f**2 to b*f**2 + z*f + q and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -8 (c) -5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143064?\nAnswer: 2, 3, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/10 and 29\/6270?\nAnswer: 6270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - 4*p**2 + 5*p - 3. Let q(m) = -m**2 + 5*m + 19. Suppose 15 = 3*o - w - 7, 10 = 5*w. Let t be q(o). What is i(t)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7680922 less than or equal to -7680924?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-6.08086.\nAnswer: -1.824258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 0*o = -j + 59438, -19810 = o - j. Let q = o - -34797. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0030204872 to 4 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*t = -322 + 1011. Solve -3*f = -t*f - 10 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -4719, 2, 3, -4, 0 in descending order.\nAnswer: 16, 3, 2, 0, -4, -4719","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -4*i**5\/7 + 16*i**4\/7 + 72*i**3\/7 - 160*i**2\/7 - 452*i\/7 - 240\/7 = 0.\nAnswer: -3, -1, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 327665931?\nAnswer: 3, 109221977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 1732 divide 12132660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 5*o + 8, 0 = 6*a - 2*a - 3*o - 30. Solve -4*s - 2 + a = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*b + 2*k - 0*k, 4*k = 5*b - 20. Suppose b = -4*n - n + 20. What is the units digit of 3\/((16\/76)\/n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-4) - (18 - (-2504)\/(-144) - 1). Suppose 2\/9*v**2 + n - 8\/9*v = 0. What is v?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.9 + 5.4. Let t = -1.56 - -0.46. Let f = j - t. Which is the third biggest value? (a) f (b) 1 (c) -5 (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 divided by -153?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 7:27 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -10, -r + 8 - 4 = -i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 42\/8 + (-18)\/72. Let v = 7 + -5. Solve -v*c - 2*s = 3*c - 35, -m*s = -25 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 295.3 - 296.2. Which is the nearest to 1? (a) -1 (b) k (c) -0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v + 2. Let n be f(-6). Let j(q) = -22*q + 15. Let l(a) = -a + 1. Let b(g) = j(g) - 6*l(g). Is b(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.4 (b) -2\/5 (c) 15791 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-3) + (-9718)\/(-29262). Let g = 168973321283\/150191053199 - 21950\/8398851. Let f = g + u. Find the common denominator of f and 139\/30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 14*i. Let s be 4\/10 - 91\/(-35). Let u(f) = -s*f + 4*f - f - 2*f. Determine u(v(n)).\nAnswer: -28*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19763, -79014, -177761, -316010, -493767?\nAnswer: -711038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -159701*d**2 - d + 4*d - 3*d.\nAnswer: -159701*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3285374 is divided by 1142?\nAnswer: 982","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 540634837 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -58279\/47 - -1240. Which is the closest to 0.1? (a) -1 (b) y (c) -2 (d) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 58051 (b) 5 (c) -0.3 (d) 0.2 (e) 0.4 (f) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.03 and -3.34.\nAnswer: 0.1002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 + 4*m + 13. Let w be s(6). Let r be ((-124)\/12)\/(w\/(-3)). Suppose r*o + 20 = 35*o. Is o a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -692*f**2. Let u(o) = 52957*o. What is g(u(l))?\nAnswer: -1940675143508*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - -13. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19260 divided by -10\nAnswer: -1926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-2))\/(3\/4). Let v(t) = -12 - 14*t + 1 + 4*t - t**m. Let i be v(-8). Solve i*h - 6*u + u = 35, -4*u + 17 = 5*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3073 - 189 = -132*q - 812 for q.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 26. Suppose 3*k + 3*l - g = k, -k + 2 = -l. Suppose -74 = -k*f + 1. List the prime factors of f.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6494, -6491, -6486, -6479?\nAnswer: -6470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 2\/9 (b) 2\/3 (c) -1 (d) -0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(3\/5)\/c*c*c**(-7)\/c)**(-10))**(-16\/11) assuming c is positive.\nAnswer: c**(-1184\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -131, 2, 5, 43\/2, 0.2, 0.05?\nAnswer: -131","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -35150*c - 70306. Calculate b(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*w**2\/9 + 5793046*w\/9 + 2317220\/9.\nAnswer: -2*(w - 579305)*(5*w + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/3 and -4\/39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.933 - 0.92. Let k = -9.613 + u. What is k rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20125091, -40250178, -60375265, -80500352, -100625439, -120750526?\nAnswer: -140875613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/366083 and -58\/7.\nAnswer: 2562581","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4007, 8041, 11909, 15527, 18811, 21677, 24041, 25819?\n\"Answer: -14*w**3 + w**2 + 4129*w - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 - k - 1. Let h(m) = 3*m**2 - 2*m + 4. Let r(a) = -h(a) - 2*w(a). Determine r(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5675066688 to the nearest integer?\nAnswer: 1784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -843 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) 0 (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 4*s - 4*s = -3*v - 3, 30*v + 5*s = 15 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3*f**2 + 1)*(-2 - 3 + 1)*(-1 + 1 - 62*f).\nAnswer: -744*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 22421687 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 960?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52241?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3056*i + 1008. Is a(12) a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -x + 32, x + x + 4*o = 104. Is 21 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + 0. Suppose 0*p - 51 = -x*p. Suppose -3*b + 4*b + p = 4*a, 0 = 3*b + 2*a - 19. Solve 0 = 2*l - m + 1, l - m - 1 = -b for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 408149 and 188692?\nAnswer: 2051","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 364249.1s in nanoseconds?\nAnswer: 364249100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 5 = 0, -68*u + 66*u - 5*g + 31 = 0. Which is the fifth biggest value? (a) 2\/5 (b) -2\/9 (c) 2 (d) u (e) -9\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (1116\/930)\/(-2*(-3)\/(-15))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2112233 (base 5) in base 3?\nAnswer: -1210110002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9805779 by -3268593.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4347 + 4342. Which is the closest to -1? (a) -3 (b) -0.2 (c) -14\/3 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/45696 and -69\/7616.\nAnswer: 45696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24563 is divided by 646.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 3*p - 11 = 0, 4*a - 1 = -a + 3*p for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 5*z, -2*g + 9 = 11*z - 6*z. Which is the closest to 1\/2? (a) -3 (b) z (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - ((-1)\/(21\/(-2)) - 937103\/(-108276))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o\/(o\/(o*o**(-6\/7)\/o)))\/o))\/(o\/((o**(-2\/7)*o)\/o)) assuming o is positive.\nAnswer: o**(11\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -95 + 96. Let l = -6 - -3. What is the units digit of (-6)\/(-9) - x\/l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -13*h**2 - 4*h + 21. Let a be (-1 - 0\/(-5))*9. Let k(c) = -3*c**2 - c + 5. Let p(q) = a*k(q) + 2*f(q). Determine p(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 6*r - 9 = 0, -4*r - 3397 + 3404 = 3*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) 0.2 (b) -2\/7 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 5. Suppose 0 = -3*h + 1 - i. Calculate the remainder when 40 is divided by 4*(h - (-22)\/4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298405 to the power of 1\/3, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 378 divided by -54.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162 - 66 = -3*g. Suppose -12*j + 11*j + g = 0. What are the prime factors of j?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1836 divided by -4.\nAnswer: -459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2. Let g(j) = j**2 - 414*j - 22279. Give g(n(r)).\nAnswer: r**4 + 414*r**2 - 22279","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -349 - -341. Does 35 divide -81*(-34)\/3 + r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 4*k**2 - 5*k + 3. Let w be a(3). Let i = w + 6. Let r be (i - 32\/11)*-1. Is r at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -15*u**2 + 16*u**3 - 11*u**3 - 6*u**3 + 8*u + 1. List the prime factors of t(-16).\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and -3144.\nAnswer: -3141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (7 - 19)*(745\/(-10) + -1) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 967b0 (base 15) to base 16\nAnswer: 749af","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*n**3 + 46\/7*n**4 + 50\/7*n**2 + 0 + 0*n - 2\/7*n**5.\nAnswer: -2*n**2*(n - 25)*(n + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 237*g = 229*g + 441464. What are the prime factors of g?\nAnswer: 139, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*w**4 - 3027*w**3 + 2994*w**2 + 87*w - 162 = 0. Calculate w.\nAnswer: -2\/9, 1\/4, 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 16 divided by -529011\nAnswer: -16\/529011","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 10*j = 8*j - 158, 2*v + 3*j - 88 = 0. What is the remainder when 165 is divided by v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07696 rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - s + 1. Let f(u) = -708*u**3 - 590*u + 590. Calculate f(h) - 590*n(h).\nAnswer: -118*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -22*v**3 + 2*v**2 + 5*v - 6. Determine g(2).\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19.7 + -21. Let c = -6.3 - b. Suppose -3*p = -2*x - 16, -2 = -x - 2*x - 2*p. What is the second smallest value in x, c, -3\/4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2. Let d(r) = r + 4. Let v(n) = 1. Let y(f) = -d(f) + 4*v(f). Determine y(b(a)).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 + 29*o - 133. Calculate g(23).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/5 + -4)*(-1)\/8.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 9*t = 7*t - 19, -c - 4*t = 13 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/4))**45*(l**1\/l)**(-16\/5)*(l*l*l**0)**(8\/15)*l**(-1\/8)*l**(-2) assuming l is positive.\nAnswer: l**(-1477\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - v - 1. Let l be d(2). Suppose w - 10 + 10 = -w. Solve w = b - l*b - 8 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8461680?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3\/5)\/t**(-1\/13))**48 assuming t is positive.\nAnswer: t**(-1632\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 11415210 (base 6) to base 12\nAnswer: 154506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 95654976 to the power of 1\/2, to the nearest integer?\nAnswer: 9780","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-104)\/(-32)*3*(-10)\/15?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 168891 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-602)\/2709*27\/(-441).\nAnswer: 2\/147","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39329 by -3.\nAnswer: 39329\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*f - 56781 = -49*f. Suppose -f = -17*b + 3704. What is the remainder when b is divided by 74?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1975320 to the power of 1\/3, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9426890?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of -f**6\/600 - f**5\/300 + f**4\/120 + f**3\/30 + f**2. Solve h(j) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 0, -2*g - 7*r + 14 = -2*r. Suppose g*o = 5*o + 6. Let u = -4 + 8. Is u equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from duuuuukuudddduudu. What is prob of picking 2 d and 1 u?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -7*y + 41. Calculate v(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*b + 8 + 76 = 0. Solve b*n - 25 = -n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1\/7, -8, -225, 0.232, 1?\nAnswer: 0.232","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-893)\/141 - 1\/(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 3*s, 3*m - 2*s = 5 + 8. Suppose 4*b + 2*n - 6 = 0, -m*n = 5*b - 7*n - 27. Suppose -4*z = -b*z - 4. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -4*g. Let z(s) = -s**2 - 185 - 31*s - 50*s + 113*s - 65*s. Let m be z(-26). Give c(m).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiesssisseesssse. What is prob of sequence eis?\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + 9*o**2 - 32*o - 301. Calculate u(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-16 - -8)) + 31 + -15\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wb when two letters picked without replacement from ojcotwbw.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m**3*m)\/m)\/m**(1\/7))\/((m**(5\/2)*m)\/(m\/(m**2*m*m))))\/((m*m*m**(1\/4)*m)**9\/(m*m*(m**(-1\/7)\/m*m*m)\/m*m**3)) assuming m is positive.\nAnswer: m**(-785\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of 2*q**3\/3 - 3*q**2 - 8*q + 12. Factor g(z).\nAnswer: 2*(z - 4)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.73 in -0.14, 0, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 136591726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(117) + (sqrt(117) + sqrt(117) + sqrt(117) + -1 + sqrt(117))*-1 - (2*(sqrt(117) + 1 + sqrt(117)) + sqrt(117))**2)*-3.\nAnswer: -26352 - 621*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4556293 is divided by 657?\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 3*f + 50. What is the tens digit of ((-5)\/f)\/(2\/260)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 3\/7 (b) 6\/155 (c) -69\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-three fifths of a micrometer in nanometers?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 7. Let u = 1.6 - j. Let n = 0.13 + 4.87. What is the nearest to 0.1 in n, -2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3569\/6 - -597. Suppose 0 = 4*y - 302 - 506. Let z = -5054\/25 + y. Calculate the common denominator of z and j.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2. Let h(c) be the first derivative of -145*c**3\/3 - 38. Determine h(k(x)).\nAnswer: -145*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(27)\/(sqrt(36)*3 + sqrt(9)) + ((sqrt(243) + 2)**2 - ((1 + sqrt(6)\/sqrt(2) - sqrt(3)) + sqrt(3))).\nAnswer: 242*sqrt(3)\/7 + 246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*m**5\/5 - 5433*m**4\/5 + 3047751*m**3\/5 - 383603511*m**2\/5 + 1485998508*m\/5 = 0. Calculate m.\nAnswer: -2281, 0, 4, 233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2 - 102321*g + 5323396.\nAnswer: -(g - 52)*(g + 102373)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 48 + -36. Suppose 13*t = c*t + 2. Suppose 0*f - 539 = -w + f, -5*f = -t*w + 1072. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d**2 + 0*d**2 + 0*d**2)*(d**2 - d**2 - d**2) - 2*d**4 + 0*d**4 - d**4.\nAnswer: -7*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of -g**5\/120 - 7*g**3\/3 + 3*g**2. Let q(f) be the first derivative of m(f). Let w(j) = 2*j + 0*j + 4*j - 5*j. What is q(w(y))?\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1642111 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(18\/7)\/(o*o**1)*(o*o\/(o**3*o))\/(o*o*o\/((o\/((o\/(o*o\/o**(-12\/7)))\/o))\/o)) assuming o is positive.\nAnswer: o**(-5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + 12*a**2 - 11*a + 4. Let b be d(11). Suppose b*f = 12504 - 1060. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 268408884.\nAnswer: 2, 3, 22367407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 39 = 3*i, -82*i + 79*i + 21 = -3*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5365 (base 7) to base 16.\nAnswer: 775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-35)\/10)\/((-2)\/4). Let w = 23 - k. Calculate the smallest common multiple of w and 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36850566 is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or -502?\nAnswer: -502","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = v - 3*v. Suppose 0 - 8 = -u. Suppose -u*r + 5*c + 115 = -3*r, -2*r = c - 49. Solve l + r = -4*j, 6*j + v = 4*l + 2*j for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -192*g**4 + g**2 - 760*g - 743617.\nAnswer: -768*g**3 + 2*g - 760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -41, -10\/7, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-2*2\/(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a kilogram in grams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21204427 divided by -5?\nAnswer: -21204427\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 1 + 0 + 13*l + 0. Let f be ((-150)\/(-4))\/15*12\/10. Does 20 divide t(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 1 + -1 - (83 - 74)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(112)\/sqrt(4))**2 - (-2 + (sqrt(1008))**2).\nAnswer: -953 + 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 5. Let j = g - -5. Suppose u - 3 = j. Is 4 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 65 + -1 - (-7 + 27 + -12 + -16 - -7)\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1*5*sqrt(13)*2)*1.\nAnswer: -5 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2\/11, -0.2, 5, -2\/31?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 48*((-8 + -94)\/(-6) - 5385\/315)?\nAnswer: -32\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244726 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -12*g**2 + 23*g**3 - 49*g**3 - 5*g + 27*g**3 - 15. What are the prime factors of p(13)?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 4 - 2)*(-3 - 1 + 2)*(-11*n + 6*n + 4*n + 3*n - 2*n + 0*n + (3*n + 0*n - n)*(1 + 2 - 2) + 2*n - 3 + 3 + n + 0*n + n).\nAnswer: 120*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4159 + -3487. Does 6 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14891860.\nAnswer: 2, 5, 83, 8971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express l + l + 13 + 7 in the form r + a*l and give r.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 155?\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -15*k**2 - 6*k + 27. Let n(w) = -2*w**2 + 2*w + 1. Let p(q) = 6*n(q) - y(q). Suppose p(m) = 0. Calculate m.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r**3 + 3*r**3 - 6*r**3 - 12*r**3.\nAnswer: -19*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/19 - 1547856*t\/19 - 81466.\nAnswer: -2*(t + 1)*(t + 773927)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a milligram in micrograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -393 + 393 - 24*l + 24*l + 32*l**2 as y*l**2 + a*l + n and give y.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of 1\/10*y**5 + 5\/4*y**2 - 11 - 5\/8*y**4 + 3*y - 7\/6*y**3. Factor h(i).\nAnswer: (i - 6)*(i - 1)*(i + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from fffffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 13*b**2 + 8*b - 48. Let y be a(-12). Suppose y*h - w - 1289 = -3*h, 2*w - 862 = -2*h. List the prime factors of h.\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by -10097339\nAnswer: -9\/10097339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0\/6 + 1*-7 + 3 + -2\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of j**3\/3 + 9*j**2\/2 + 9*j + 10453. Suppose 4*d + 9 + 27 = 0. What is p(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0418 * -0.4.\nAnswer: 0.01672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 12) to base 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -260*u = 1320650 - 5613770. Is u a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58633 = 43*q - 46459. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 4*r + 37. What is the remainder when h(13) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12522790?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -179 - -308. Calculate the remainder when y is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 2376977450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -199*r - 2355. What is the remainder when 1670 is divided by f(-16)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28 + 43. Let k = 15 + z. List the prime factors of k.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 416 divide 93163200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3598254?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from iiniiiiiiiiiiii.\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -33 + 18 + 103 + 2*z as t + c*z and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55564.\nAnswer: 2, 29, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-3\/4)*f**6*((f\/(f**0\/f))\/f)**(15\/4) assuming f is positive.\nAnswer: f**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 19*k**2. Let h(a) = -42916247*a. Calculate d(h(x)).\nAnswer: 34994280874735171*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 r, and 1 j when three letters picked without replacement from jjrbee.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h - 1. Let k be t(-6). Calculate the remainder when -2 - (-65 - (-1 - 0)) is divided by (-149)\/k - (-8)\/(-28).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -97131236, -97131238, -97131240, -97131242, -97131244, -97131246?\n\"Answer: -2*p - 97131234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 63 = -57. What is the common denominator of -151\/6 and c\/7 - (-4)\/3?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1470460 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/((20\/(-285))\/((-56)\/126))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 + f - 4. Give p(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, j: 1, k: 2}. What is prob of picking 2 k and 1 j?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 532 + -531. Let x = 3.7 - 0.7. What is the closest to j in -2\/3, -7\/5, x?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 7) in base 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148 = 781*v - 785*v - 4*s, 3*v + 85*s + 53 = 0 for v.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 1 + 78 + -25 + -35 - (-2 + -1)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -7. Suppose -a = -r*a + 480. What is the highest common divisor of a and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62.06 at most as big as 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -29*d + 151. Calculate s(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence azqf when four letters picked without replacement from {o: 2, f: 2, j: 1, z: 5, a: 1, q: 2}?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1356 - 1356 - 50*a)*(-1 + 2*a + 1)*(-3*a**3 + 5*a**3 - a**3) + 8*a**2 + 4*a**5 - 2*a**5 + 9*a**2.\nAnswer: -98*a**5 + 17*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -22*c - 18. What is u(-2)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4402 to the power of 1\/2, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 86738 divided by -615?\nAnswer: -86738\/615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vowviyn.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 6) + -4 + 0\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2)\/h)**(11\/6) assuming h is positive.\nAnswer: h**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of a**7\/70 + a**3\/3 + 3*a**2\/2 + 4. Let j(l) be the second derivative of s(l). Differentiate j(b) with respect to b.\nAnswer: 12*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 10 - (-29 + (-56)\/32*-4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*h = 3605 + 407. Is h bigger than 235?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1222 or -1220?\nAnswer: -1220","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/((-294)\/35))\/((-32)\/(-56)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30*c**3 + 6*c**2 - 72*c + 2?\nAnswer: -180*c + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g - 6 + 6 + (4 - 2 + 2)*(0*g - g - g))*(g + 0*g - 3*g).\nAnswer: 22*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 170102600 and 374225720.\nAnswer: 1871128600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/255 and -41\/75.\nAnswer: 1275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-30)\/2*-6 - 1. Suppose -4*m = 4*q - 264, -2*q + 3*m + 48 = -w. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7, 82, 205, 370, 571, 802, 1057, 1330?\n\"Answer: -w**3 + 30*w**2 - 8*w - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 11 + 58)*(1 - 3*z**3 - 1).\nAnswer: -177*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1786\/25569 - 4\/947. Put 1\/6, y, 2\/3 in increasing order.\nAnswer: y, 1\/6, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -0.43 (c) 2\/35 (d) -0.2 (e) 188 (f) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1084*r - 1864*r**3 + 1876*r**3 - 1335*r - 1592*r**2 + 3240 - 469*r - 916*r.\nAnswer: 4*(r - 135)*(r + 3)*(3*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -0*p - 30. Let s = 47 + -59. Let t = p - s. Solve 4*n - t = 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.5 (b) -2 (c) -3 (d) 52 (e) -63\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 1:52 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -545, -610, -725, -896, -1129?\n\"Answer: -t**3 - 19*t**2 - t - 524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15808620?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*(-2*d**2 - 1 + 1)*(-66*d + 12*d - 23*d).\nAnswer: -308*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121347861?\nAnswer: 3, 29, 997, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -1. Let n(t) = -2*t - 6. Let i(x) = 6*b(x) - n(x). Suppose 4*c = c + 6. Let z(r) = -3*r**2 + 4*r**c - 2*r**2. What is z(i(j))?\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 918949 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-20))\/(9 - 6513\/728)*(-5)\/2.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14.18 + -1.08. Let v = -12.98 + -0.02. Let y = v + z. Which is the second biggest value? (a) y (b) -5\/3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-1)\/((-4)\/(-260)))\/(6\/3) and 27\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1174 divided by -6?\nAnswer: 587\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3116 + -20?\nAnswer: 3086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(102)\/sqrt(54) + -5*sqrt(68).\nAnswer: -29*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -913572*i**2 - 2*i**3 + 913572*i**2.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28 or -24805\/917?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6076 - 6074. Which is the nearest to -4\/7? (a) 2\/7 (b) 2\/9 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 837888494.9 rounded to the nearest one hundred thousand?\nAnswer: 837900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4.6 (b) -4261 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 234 - -99. Is 20 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwgg. What is prob of picking 1 w and 1 g?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6 or -45.4614?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*v - 2 - 53*v + 3.\nAnswer: 25*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(7))*-6 - (sqrt(252)*-1 - sqrt(7)))*4 + -1)**2.\nAnswer: -200*sqrt(7) + 737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that y**5\/3 + 91*y**4\/3 + 2830*y**3\/3 + 11806*y**2 + 60795*y + 99225 = 0.\nAnswer: -35, -9, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -195 + 202. Let q(j) = -4*j + 36. Calculate q(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 8*y**2 - 6*y + 9. Does 11 divide a(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 PM and 9:45 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*i + 7704 = 67*i. Is i equal to -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10*(-2)\/(-16)*-8. Let p(v) = -v**2 - 10*v + 13. Let w be p(q). Let d = -145 - -262. What is the greatest common factor of w and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 20 = 8*c, 630 = 2*r - 4*c. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 3. Suppose -u*p = -5 - 7. Solve p*i = -i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -22*d**2. Let t(n) = -7*n. What is t(j(m))?\nAnswer: 154*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -337, -339, -367, -421, -501, -607, -739?\n\"Answer: -13*x**2 + 37*x - 361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 5*r - 174 - 100 = 0, -4*c - 4*r + 548 = 0. Solve 134*x - 3 = c*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 645 + -515. Calculate the remainder when g is divided by 37.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -97 - -96.92. Let j = 36.8 - 37. Which is the nearest to v? (a) 0.4 (b) 2\/7 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 567077?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/4, 4\/5, -3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f**3 + 5*f**2 + 37*f + 5. Let b(v) be the third derivative of v**6\/40 - 2*v**5\/15 - 7*v**4\/3 - 4*v**3\/3 - 4805*v**2. Determine -5*b(q) - 8*o(q).\nAnswer: q**3 - 16*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 - 25*c + 29. Let b be y(-26). List the prime factors of 1338\/(-4)*(0 - 2\/b).\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*r**3 + 9*r**2 - 35*r + 1?\nAnswer: 12*r + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-48) - 132702\/(-16). Let a = 7795\/214 - -8\/107. Calculate the common denominator of a and j\/(-1540) + (1 - 10\/14).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 127837083?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 40*a**4 - 108*a**3 + 16795*a wrt a.\nAnswer: 480*a**2 - 648*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(5082)*-2 + sqrt(5082)))\/((sqrt(648)\/(sqrt(12)*-2))\/sqrt(9)).\nAnswer: -110*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y. Let h be v(-1). Sort 1, 2, h.\nAnswer: h, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-66)\/(-6))\/((-3)\/(-1)).\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 412303668 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -416036 (base 8) to base 14\nAnswer: -38566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 422407?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-1))**(-4\/5)\/(m**(-1\/2))**(-17))**26)**(-11) assuming m is positive.\nAnswer: m**(11011\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wtt when three letters picked without replacement from {t: 6, k: 1, j: 1, w: 3, c: 1, o: 1}.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x - 1. Let q(o) = 2*o. Let r be q(-3). Let p(i) = 2*i + 10. Let y be p(3). Let m = y + -15. Let a(u) = 8*u - 4. Give m*a(n) + r*l(n).\nAnswer: 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 22\/(-121) + 138\/33. Suppose w*d - 32 = 4*p + 72, -2*p + 58 = 3*d. What is the highest common factor of 110 and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -1469.\nAnswer: 2938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.09115 and -38722322?\nAnswer: 38722321.90885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c**3 - 34*c**2 + 37*c + 21. Let y be s(-18). Solve 5*b = a + b + 9, -12 = -a - y*b for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 10265 and 10267 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(4 + 465\/(-115)). Suppose 5*w - l = 4*f, -w - 4 = -f - 9. Suppose -18 = -4*u + 2*m, u = -0*m - 2*m - w. Sort u, -2, 5 in decreasing order.\nAnswer: 5, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -1\/6*i**4 - 12*i**2 - 47\/3*i - 3*i**3 - 13\/2 = 0.\nAnswer: -13, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -75 - v**3 - 7*v + 21*v - 8*v - 8*v to the form k + p*v**2 + d*v**3 + a*v and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/2690 and -9\/376?\nAnswer: 505720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 4 = -0*w. Let v(y) = 2*y**3 + y + 4. Let r(s) = s**3 - s. Let d(k) = w*r(k) - v(k). What is the first derivative of d(o) wrt o?\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-4 + 1 + sqrt(13) + -1 + -2)**2 - ((-4*(sqrt(143) - ((sqrt(143) - (sqrt(143)*1 + sqrt(143))) + sqrt(143))))\/sqrt(11)*-6)**2).\nAnswer: 24*sqrt(13) + 14878","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6053*k - 6048*k + 12094*k = -14 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -78129\/5 - -15626. What is the fourth smallest value in 0.05, 0.8, s, 0.43?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 4*t + 2*y - 9, 0 = -2*t + y + 14 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1926*a**3*z**3 - 2*a**3*z**2 + 1081*a*z**2 wrt z.\nAnswer: 11556*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-59 - 19510\/(-330))\/((-2)\/3).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -3) + -1 + -4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of -j**9\/12096 - j**8\/3360 - j**7\/3360 + 11*j**3\/3 + 20*j**2. Let m(h) be the first derivative of f(h). Solve m(y) = 0 for y.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 4.468063 kilometers?\nAnswer: 4468063000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005408 to 4 dps.\nAnswer: 0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/38442 - 46809541\/38442. Let f = -1230 - k. What is the common denominator of (8\/(-36))\/(8\/(-6)) and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 22 - 7. Let o(k) = -k + 1. Let j be o(u). What is the greatest common divisor of 30 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1752 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((0\/(-6))\/(-2))\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -305*d**3 + 106175375*d**2 - 9240335405440*d - 151480936820.\nAnswer: -5*(d - 174058)**2*(61*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 5:47 AM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 9*w - 210. List the prime factors of w.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 456762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.4 (b) 3\/10 (c) -4 (d) -4\/37 (e) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 226 - 138. 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: ((-4)\/12)\/(((-1)\/3)\/(-1))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l - l + 11*l)*(-3 - 2*l + 3)*(-2 + 2 + l)*(1 + 1 - 1).\nAnswer: -20*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/6 + ((-1085)\/42)\/(-5). Suppose 2*t - 4*y + 2406 = x*t, 0 = -t + 4*y + 802. Does 76 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13001113 (base 4) to base 13.\nAnswer: -10123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.36126023 rounded to three decimal places?\nAnswer: -0.361","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 304857 is divided by 304842?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 2720\/(-80)*63\/(-51)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35 - 35.54. Let r = y - -0.04. Let m = 1 - 1. What is the closest to m in r, 0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 560 is divided by 81.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a*(a\/a**(-6))\/a)*a*a)\/a)\/a)\/(a\/(a**(1\/4)*a)*a)*a\/(a**1*a)*a**6 assuming a is positive.\nAnswer: a**(-7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**5\/7 + d**4 + 13*d**3\/7 - 3*d**2\/7 - 18*d\/7.\nAnswer: d*(d - 1)*(d + 2)*(d + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i**14\/i))**(-7\/3))**(-1\/8) assuming i is positive.\nAnswer: i**(-91\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 142634119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -4*h**3 + h + 1. Let k be d(-1). Suppose -3*z + 11 + 6 = 2*b, k*z + 2*b = 22. What is the second derivative of z*p + p**5 - 15*p - 5*p**5 wrt p?\nAnswer: -80*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qt when two letters picked without replacement from {d: 4, t: 1, j: 2, p: 3, q: 1}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/3)\/((-1)\/6). Let i be 2\/(-4)*0\/(-4). Suppose i*s = 3*s - 15. Solve -q*g = g - s for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minus 33012?\nAnswer: -32987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pppe when four letters picked without replacement from pmepmpppppem?\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18968*i = 18983*i - 30 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2bd89d (base 14) to base 9.\nAnswer: -2800405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143 + 3*d - 156 - 4*d.\nAnswer: -d - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -87 in increasing order.\nAnswer: -87, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 750185?\nAnswer: 5, 59, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -19*g**3 - 1696*g + 8458. What is c(5)?\nAnswer: -2397","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 486, 504, 548, 630, 762, 956, 1224?\n\"Answer: 2*t**3 + t**2 + t + 482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3660 = -3688. Which is smaller: n or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -3*d**2 - 2. Let y(u) = u**2 + u + 1. Calculate -m(j) - y(j).\nAnswer: 2*j**2 - j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + a = -27. Let n = -16 - a. List the prime factors of n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-1 + sqrt(684))*5)**2.\nAnswer: -420*sqrt(19) + 17149","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 take away -5.79168?\nAnswer: 4.89168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 332, 361, 60, -577, -1556, -2883, -4564?\nAnswer: -6605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(1\/2)*k**(4\/3))**(-7\/4))**(3\/10) assuming k is positive.\nAnswer: k**(-77\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*b**2 - 22*b**2 - 4 + 4.\nAnswer: -33*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-193820 + v + 383992 - 196325)*(-v**2 - 3*v**2 + 3*v**2).\nAnswer: -v**3 + 6153*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-8)\/(-12)*18540\/40 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 3*o + 8, 5*v + 3*o + 2 = 6. Solve 2*h + v = -x + h, 5*x + 4*h + 9 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -383029\/3 + 129081. Let r = -1429 + b. Find the common denominator of -36\/5 and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5 - 2 + 0*l**3 + 2 - 2*l**3 wrt l.\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 794262?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 121012100221 (base 3) in base 4?\nAnswer: 1031311321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 17*d - 13*d + 19*d + 5*d + 4. Let b be x(-4). List the prime factors of (-1*1)\/(4\/b).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2*b - 18 = 0, 2*q - 2*b = -14 - 4. Let y(p) = -24 - 3*p - 20 + 55 - 29. List the prime factors of y(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 65, 1, -7 in ascending order.\nAnswer: -7, 1, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -295 - -300. Solve -4*v - 4*p = -28, h*v - p - 6 = 5 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(196\/400) + 4 + 30\/(-7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*h = 5 + 503 + 196 for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3860\/69 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 5678*l**2 - 3*l + 7. Let y = -10 - -13. Let h be k(y). Round h to the nearest one thousand.\nAnswer: 51000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddeieeu. Give prob of sequence de.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (267*v - 52*v**2 - 267*v)*((3 - 2*v - 3)*(5 - 4 + 1) + 2388 - 2388 + 17*v).\nAnswer: -676*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 82 and 4.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 34*i**2. Let c(p) be the first derivative of p**6\/180 + p**3\/3 + 3*p**2\/2 - 36. Let m(z) be the third derivative of c(z). What is m(x(v))?\nAnswer: 2312*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + 28)*((-4)\/10)\/(388\/(-51410)). What is p rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/21*s + 2\/21*s**2 - 4\/21.\nAnswer: 2*(s - 1)*(s + 2)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12 - 11)\/(2\/8). Solve 0*z - 12 = p*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 9:20 AM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/2)\/(w**(-1\/3)*w))**(19\/4) assuming w is positive.\nAnswer: w**(-133\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 316527 minus 81.7654?\nAnswer: 316445.2346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/2 (b) 234741 (c) -81\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*q - 6. Suppose 4*l + 3*t - 484 = 0, -t = -q*t - 20. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -9, -5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a + 7. Let f be x(-6). Let l be ((-16)\/(-10))\/f*30. Calculate the common denominator of -13\/11 and -3 + 52\/l*-2.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -229 (base 10) to base 12\nAnswer: -171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6001210 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: Let f = 100 - 94. Let v(m) = -2*m - 6. Let o be v(-6). Let s be o\/(-4) + 21\/f. Let j(u) = 4*u. Give j(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 + 5*t - 2. Let u be h(5). Let v be 6\/(-7)*u\/6. Let k = -1210 - -1213. Put -0.5, k, 15, v in decreasing order.\nAnswer: 15, k, v, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 4*q - 271 = 0, -4*h + 3*q + 78 = -138. Let d = 55 - h. Solve 10 = 3*f + d for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1287.4 to the nearest ten.\nAnswer: -1290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*h**2*j**2 - 110*h**2*v**2 + 23*h**2*v - 70*h*j*v**2 - 1677*j**2 - 131 wrt j?\nAnswer: 4*h**2*j - 70*h*v**2 - 3354*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-2)\/3)*5\/(-45).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-342)\/20 - (-6)\/60. Let b(w) = w**2 + 18*w + 13. Let h be b(p). Sort h, -0.4, -0.3.\nAnswer: h, -0.4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -13. Let x = m - -72. Is 10 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -9*w**2. Suppose 4*q - 10 = -2. Let o(x) = -3 + 8 + 3*x**q - 5. Calculate h(o(i)).\nAnswer: -81*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 a when four letters picked without replacement from {d: 2, m: 2, e: 3, k: 3, a: 2, u: 4}?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154991*b + 377 = 154962*b for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1 + (-5 - (-65)\/10))*3338?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j - 7 + 7)*(5 + 3 - 2) - 2 - j + 2 + (-2 + 4 + 1)*(-27*j - 2 - 25*j + 55*j) to h*j + c and give h.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -5*w - 2 + 0*w + 2*w + w**2. Let b(v) = v**3 + 5*v**2 - v - 2. Let z be b(-5). Calculate a(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 118 + -142.9. Let x = -24.4 - j. What is the closest to -0.27 in x, 3\/5, -0.3, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -45161320, 5, 0 in decreasing order.\nAnswer: 5, 0, -3, -45161320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -335 + 16345?\nAnswer: 16010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 62, 56, 52, 50, 50, 52, 56?\n\"Answer: h**2 - 9*h + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 4:50 PM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -93701, -374806, -843315, -1499228, -2342545, -3373266, -4591391?\nAnswer: -5996920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90 = -53*k + 12*k - 33 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - 1d68e9?\nAnswer: -1d68e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27515\/11047 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-13)\/(-1170)*3711)\/(948\/910). Let a = -475\/12 + c. Which is bigger: 1 or a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/150 and -43\/150?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3173351 a multiple of 279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 20123238 a multiple of 141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -2*i + 108 - 111, -c = -1 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-267155)\/(-59717) + 10\/19?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.4 (b) -2\/5 (c) 1 (d) -2\/407 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.44883 - -488.2\nAnswer: 487.75117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - (0 + 2 - 3). What is the third derivative of 15*q**2 + 19*q**2 + 13*q**r - 33*q**2 wrt q?\nAnswer: 312*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 64 + 128. Suppose 3*w - 402 = -4*g, 0 = -2*g - 4*w + 4 + u. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44270181?\nAnswer: 3, 173, 28433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 27\/(-6)*-18*(3 + -2). Suppose l - 79 + o = 0. Let g be 9\/(-2)*18\/(-45) + l. Put 2\/15, -2\/9, g, -6\/5 in decreasing order.\nAnswer: 2\/15, g, -2\/9, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -140, -280, -420, -560, -700?\n\"Answer: -140*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, y: 1, h: 2, a: 1}. What is prob of sequence hth?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.03887 rounded to three decimal places?\nAnswer: -1.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**7*k*k\/k**(-14))\/(k**(-2\/13)\/(k*k**(-4\/13)*k)))**(3\/17) assuming k is positive.\nAnswer: k**(1008\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 119, -2, -14837.\nAnswer: -14837, -2, 1, 119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 777 - 9*u - 3091 + 774 + 769 + 771.\nAnswer: -9*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.8 + -3.7. Let v = s + 1.8999863. Round v to six decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -615 - -615.01. Which is the nearest to 11? (a) -0.2 (b) s (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29*p**4 - 59*p - 27*p**4 + 71*p**4 - 2*p**5 wrt p?\nAnswer: -40*p**3 + 180*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 4*b**2. Let n(w) = 7*w + 6. Let v(z) = 8*z + 7. Suppose -3*x + 2*t = -3*t + 1, 3*t - 23 = 5*x. Let d(r) = x*n(r) + 6*v(r). What is a(d(i))?\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + 7. What is the first derivative of -d + 11*d - p*d**4 - 10*d - 38 wrt d?\nAnswer: -84*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -394*n = 1085 - 4631. Solve 0 = 2*u + y - n, -3*u + y + 9 - 8 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 8, i: 1, x: 2, w: 2, n: 1, g: 3}. What is prob of sequence nxgi?\nAnswer: 1\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (10\/6)\/((-1)\/(-3)). Let b be m\/3*1\/5. Let a be 80\/16 + 31\/(-5). Put a, 2\/9, b in descending order.\nAnswer: b, 2\/9, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 573581 is divided by 7900?\nAnswer: 4781","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 12953*h - 3. Let q be v(3). Let b = q + 117129. Suppose -b = 4*p + 4*k + k, -4*p + 3*k = 156009. What is p rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -81.481 times 0.06\nAnswer: -4.88886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7067*u - 17130*u + 107232 = -7527*u + 2374352 for u.\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) -3 (c) 0.2 (d) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.92*-125597.\nAnswer: 492340.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -354 times -0.115\nAnswer: 40.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 264, 0, -4, -1\/33 in ascending order.\nAnswer: -4, -1\/33, 0, 264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.4 + 5.4. Which is the nearest to -1\/4? (a) -3\/5 (b) -5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.52793 and -0.4.\nAnswer: -1.411172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -470\/21 + 1745\/42. Is b not equal to 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23485561 divided by -23485561.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1656601536 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 + -32 - -98 - (-8 + (-9 - -3))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o + 11. Let s be u(-6). Let l be (3\/(-9))\/(s\/(-465)). Let t = 6 + l. Is t a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 5*p**2 - 55*p - 14. What is i(11)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 683*q**4 + q**3 - 7*q**2 - 441*q.\nAnswer: 16392*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 358 + -322. What is the smallest common multiple of f and 16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4264 + (-2)\/(4\/6). Let z = -1922 - x. Suppose 0 = 2*l + 5*l - z. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -w**5 - 54*w**4 + 344*w**3 + 2670*w**2 - 12871*w + 9912 = 0.\nAnswer: -59, -7, 1, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h - 49. Determine c(39).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 374.605 + 0.395. Let t = -375 + l. What is the third smallest value in -27.3, -0.3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-117862)\/(-1550) - (-3 + -1)) + (-382)\/9550?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 483 by 342.\nAnswer: 161\/114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -2*m**3 + 3*m**2 + 2*m + 0*m**3 + 3*m**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1673 is divided by 510?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -1, -2\/3, 2.4, 33\/16?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a**2 - 8*a - 67. Let x be l(8). Let m be ((-18)\/(-81)*x)\/(-1). Let 2\/3 + 2\/9*i**3 - 2\/9*i - m*i**2 = 0. What is i?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + z + 2)*(-2 - 1 + 4) + (-2 + 2 + 2)*(-2 + 2 - 2*z) - 189 + 19*z + 189 + (z + z - 3*z)*(5 + 0 - 4).\nAnswer: 15*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62.1718ng to tonnes.\nAnswer: 0.0000000000000621718","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20736 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4472835 is divided by 382.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/24*9 - (-23 + (-7376)\/(-320) + -5).\nAnswer: 36\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.191 - 0.109. Sort -5, 0.7, u.\nAnswer: -5, u, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + 1. Suppose -5*y - 22 = -4*n + x, -12 = 4*y. Let j(d) = d + 7. What is the remainder when j(6) is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6274*k - 615 = 6233*k for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-2) + -1*1. Let q(j) = -j**3 + 2*j**2 + 2. Let t be q(2). Which is the smallest value? (a) 0.5 (b) t (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 AM and 10:05 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.014071789 plus 0.2?\nAnswer: 0.185928211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + 1043 + (-22)\/(-11). Let a = -601 + z. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-736)\/(-7)*(-10)\/(-30). Let u = o + -106\/3. What is the closest to 1 in -5\/3, 1\/9, u?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -n - 4*d, 176*n - 178*n + 3*d - 1 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*o**2 + 5*o**2 + o**2 + 0*o**2 + 5*o**2.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/6)\/((-26)\/(-8)*(-26)\/169).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*h - 2 + 2)*(2 - 3 - 1)*(1 + 1 - 4)*(2 + 0 - 1)*(35 + 24*h - 35) in the form z*h + x*h**2 + p and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + 12*f + 27. Let h(r) = -r**2 - 12*r + 36. Let t be h(-15). Let g be i(t). Is g <= -2\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 151, 369, 685, 1147, 1803?\nAnswer: 2701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31986?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 - 9*w**2 + w + 11. Let c(x) = -x**2 - 9*x + 10. Let y(l) = 6*l**2 + 46*l - 50. Let g(h) = 11*c(h) + 2*y(h). Let b be g(7). Is d(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00194696201 rounded to 4 dps?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o + 3*o - o - o + 4*o - 4*o + (-3*o + 5*o - 4*o)*(4 - 1 - 2) + (-48 - 22 - 10)*(-3*o + o + 7*o).\nAnswer: -398*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 658 and 596477?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 89413 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = -16*c - 14 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 7) to base 14\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23.9 - 1.1. Let y = -24.992 - k. Let x = y - -3.092. What is x rounded to 0 decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, l: 2, f: 1, v: 2}. Give prob of sequence fvva.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) - (1*sqrt(110) + sqrt(110)))\/sqrt(10)*3)**2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2 - -4 - -128 - (-1 + 2)?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + 3*x - 17. Let i(r) = -2*r. Calculate u(i(v)).\nAnswer: -4*v**2 - 6*v - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 3*q - 75 = 0, 85 = -89*x + 94*x + 3*q. What is the least common multiple of 220 and x?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7209.93 - -7210. Suppose -g - 2*n + 7 + 4 = 0, -5*g - 3*n + 34 = 0. Sort g, r, -0.5.\nAnswer: -0.5, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h - 1. Determine i(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -9*z + 39. Let p(d) = 10*d - 39. Let v(k) = 7*a(k) + 6*p(k). Let s be v(6). Is 4 a factor of s*1\/(-2)*-4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16646, 67606, 152538, 271442, 424318?\nAnswer: 611166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.1 - -26252?\nAnswer: 26255.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 3*(-3 + ((1*sqrt(612)*5)**2 - (sqrt(612) + -5 + sqrt(612) + (sqrt(612) + 0 + sqrt(612) + sqrt(612))**2 + sqrt(612)))).\nAnswer: -54*sqrt(17) + 29383","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 235 - 159. Does 19 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -72*u**4 + 6*u + 23 + 23*u**4 + 25*u**4 + 27*u**4 wrt u.\nAnswer: 12*u**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, -147, -580, -1413, -2778?\nAnswer: -4807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/3)\/(-4 - (0 - 3)). Suppose -5*t + 0*t = w - 20, -2*w + 10 = 0. Solve -t*b - b = -4*p - 12, i*b - 16 = -3*p for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176 is divided by 46?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 59\/5 in -0.04, -0.4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rbbbrrrrrrbb. What is prob of sequence bbbb?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -212.41939 + 212.4. What is k rounded to three decimal places?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.0122087 (b) 3\/5 (c) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**12)**(-18) assuming a is positive.\nAnswer: a**(-216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + 15. Is 299\/c*(-11)\/((-44)\/16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*z**2 - 4 - 3 + 9 as u + m*z + q*z**2 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120)\/sqrt(4))\/sqrt(2)*-2)\/(5*sqrt(27)*5).\nAnswer: -2*sqrt(5)\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 86\/4 - 12\/24?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 30548 in -0.019, 1\/4, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 72 = 26*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -11*y**2. Let m(u) be the first derivative of -u**6\/180 - 7*u**3\/3 + 20. Let k(x) be the third derivative of m(x). What is k(h(w))?\nAnswer: -242*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101010010100 (base 2) to base 3.\nAnswer: -10201022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 180 and 35856.\nAnswer: 179280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -228 + 116 + 112 - 11*p.\nAnswer: -11*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 3*p**3 - 5*p**2 + 2*p + 1. What are the prime factors of x(3)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 64*c - 87 - 205 - 156 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 13 + 8 = 4*y, 3*p - 5*y + 6 = 0. Suppose 2*g + p*f - 88 = 0, -184 = -0*g - 4*g - 2*f. Calculate the remainder when 124 is divided by g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 5989*f**3 + 2144*f**3 - 4.\nAnswer: -3845*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36207 - -69373. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + -2*(-3)\/2. Suppose -x = k*x. Suppose x = 3*b + b - 24. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/349, 0, -0.1, 3\/8 in increasing order.\nAnswer: -0.1, -2\/349, 0, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 75742171 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (16 + 72\/(-5))*(-15)\/(-12). Solve 65 = c - 5*g + 100, -g = -2*c + o for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -5, 3\/1994, 5?\nAnswer: 3\/1994","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 4*s**2 - 9*s - 2. Let u be x(-5). What is the highest common divisor of 13 and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)\/sqrt(7))\/sqrt(4) + (0 + sqrt(5))*6 - (-3*sqrt(5)*1 - ((sqrt(15)\/sqrt(3))**2 + sqrt(5))*6).\nAnswer: 30 + 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-57)\/(-14)*200\/(-6). Let q be 54\/6 - (-2 + 147). Let j = q - h. What is the closest to -1\/4 in -3, j, 1\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -46\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-26)\/(j\/j**(4\/19)*j))\/(j\/j**(-29))**(2\/21) assuming j is positive.\nAnswer: j**(-4076\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of 0*u + 7\/15*u**5 + 0*u**3 + 30*u**2 + 1\/6*u**4 + 0. Find the second derivative of q(g) wrt g.\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40967.78 kilograms in milligrams?\nAnswer: 40967780000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 841.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 177481469?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 + -1. Let g = v + 0.2. Let w = 106 - 105. Which is the second biggest value? (a) -2 (b) w (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -3 - (-24*7 + 4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**3 + 40*x**2 - 2*x + 41. Let j be g(20). What is the closest to 2 in 13, j, -0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -307*v + 23. Let k(i) = i - 103. Give q(k(h)).\nAnswer: -307*h + 31644","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1633 at least as big as 37576\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 725 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*99*((-20)\/60)\/(-1)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-14)*2)\/(6200\/(-3255)). Let j(a) be the second derivative of 3\/2*a**2 - 1\/4*a**4 + 3*a + 0 + z*a**5 - 1\/2*a**3. Suppose j(p) = 0. Calculate p.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.65 and -3.\nAnswer: -10.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(3\/2)\/b**(3\/10))\/((b*(b\/((b**(1\/17)*b*b)\/b))\/b)\/(b**(3\/17)\/b)) assuming b is positive.\nAnswer: b**(37\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a micrometer in nanometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iwikwk. Give prob of picking 2 w.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3744 and 480?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 107 - 142*m**3 - 107 + (-3 - 4 + 31)*(-6*m**3 + 3*m**3 + 5*m**3) to the form h*m**3 + y*m**2 + t*m + x and give h.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 220966861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -109, -220, -331, -442, -553?\n\"Answer: -111*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 14174 and -40.\nAnswer: 14134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4002.9 + 4003. What is the nearest to 8 in -0.3, 0.3, q, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, y: 2, o: 1, e: 3, p: 1}. Give prob of picking 1 t and 1 p.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/(-3))\/(8\/(-12)). Is r less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 846, 1689, 2528, 3357, 4170, 4961, 5724?\nAnswer: 6453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a\/a**(-5))*a*a**(5\/3))**(-2\/55) assuming a is positive.\nAnswer: a**(8\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*m**2 + 82*m**2 + 49*m**2.\nAnswer: 56*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3217913 to the nearest integer?\nAnswer: 1794","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.6 + 3.6. Let u = -6 + -95. Let p = u + 105. Sort p, -0.2, j in increasing order.\nAnswer: -0.2, j, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/3686440 and 57\/20?\nAnswer: 3686440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*n + 24*n - 204799982 = 3*h, -n = 5*h - 40960030. What is n rounded to the nearest 1000000?\nAnswer: 41000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + t + 55, -2*w = w + 3*t - 51. Calculate the least common multiple of 18 and w.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49)*3*-2)\/(sqrt(7) - sqrt(56)\/sqrt(1152)).\nAnswer: -72*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 186\/11 - 2045\/132. Let v = -143995\/27594 + 8\/1971. Find the common denominator of v and h.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(125) + -6*sqrt(125) + 3 + 0)*6)**2.\nAnswer: -5400*sqrt(5) + 112824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2*z**2 - 998*z - 2004 = 0.\nAnswer: -2, 501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -6*q**3 - 146*q**2 + 262*q + 7439. Give d(-24).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/4 - (-2)\/4. Let h(y) = -y**3 - y**2 + 2*y. Let o(r) = r**2. Suppose -x - 7 + 35 = 0. Suppose x*j - 7 = 21. Calculate j*h(f) + p*o(f).\nAnswer: -f**3 + f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -1\/4 (b) -86\/11 (c) 0.4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20? (a) 2\/395 (b) 10\/11 (c) -5 (d) 5\/4 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-15)\/25)\/(6\/28))\/((-93)\/465).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2445170 (base 8) to base 2\nAnswer: -10100100101001111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27)*1 - sqrt(12)*-5)**2.\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -229*i + 241*i = -36 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 5:52 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -4*f**3 - f**2 - f - 1. What is the remainder when l(-3) is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -3509*t - 1060. Does 127 divide v(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 124752?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(357) + (sqrt(357) - sqrt(357)*-2) + sqrt(357))\/sqrt(7) + sqrt(51))\/((sqrt(12)*-3)\/sqrt(4)).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -231*u = -229*u - 108. Calculate the greatest common divisor of 18 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h**(-1\/2)\/h)*h)\/h*h*h**3*(h**6*h)\/(h**(1\/3)*h) assuming h is positive.\nAnswer: h**(79\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -5 - (4887\/297 + -18).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*3*sqrt(36))\/(sqrt(1152)*5) + -1)**2.\nAnswer: -3*sqrt(2)\/4 + 41\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 130, -283, -682, -1067?\n\"Answer: 7*v**2 - 434*v + 557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2350 + 4697 - 2347 - 1615*a - 3*a - 2*a + 3*a + (-3 - 2*a + 3)*(-2 + 8 - 3) - 5*a + 2 - 2 - 2 + 2 - a.\nAnswer: -1629*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**4 + 36*z**3 - 8*z**2 - 336*z - 288.\nAnswer: -4*(z - 6)**2*(z + 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -316888.87 to the nearest one hundred.\nAnswer: -316900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 678 and 150?\nAnswer: 16950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -207 + 206. Does 94 divide ((-3)\/z)\/(((-384)\/(-7880))\/16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - l**2 - 1. Let a(m) = -3*m + 4. Let h be a(1). Let g be -10*(-4 - h) + 2\/(-1). Let y(q) = 40*q**3 + 48*q**2 + 48. Calculate g*t(i) + y(i).\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94 - 2*c - 188 + 94 - 58*c**3.\nAnswer: -58*c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2295182849?\nAnswer: 71, 107, 397, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2. Let h(i) = 94*i**2 + 2393*i. What is h(f(u))?\nAnswer: 94*u**4 + 2393*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/(-1404)*36)\/(-1*(-1)\/(-45))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 3*d**2\/4 + 174393*d + 348783 = 0?\nAnswer: -232522, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 61.01092kg?\nAnswer: 61010920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-10)*u)\/u)\/u**(-33))\/(((u\/(u*u*u\/u**(5\/4)*u*u*u*u))\/u*u)\/u)**8 assuming u is positive.\nAnswer: u**69","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40 + 19. Let y be (-6)\/x - 26\/(-7). Solve 0 = -y*j + j + 9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 560 is divided by 80?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4*(((-174170)\/(-200) - -5) + (-8)\/(-1)). Is -3536 at least as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 161405 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + -23 - -14 - (26 - 1).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 105987601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -31*n - 964. Let f be a(-31). Let w = 5.3 + -7. Let c = -0.7 - w. What is the nearest to c in 13\/5, f, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (22\/(-8))\/(-1)*44. Let s = 3 - 1. Suppose -s*k + 8 + 14 = 0. Calculate the highest common divisor of k and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1319486*l**6 + 9*l**2 + 5716*l + 4 wrt l?\nAnswer: -158338320*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30079 + -28880. What is the remainder when y is divided by 50?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 + -14. Suppose 0 = -5*m - k*i + 26, -2*i = m + m - 14. Suppose -m*f + 37 = 3*s, 33 = 4*f - f + 4*s. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 42*c**2 - 14*c - 9. Is p(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.09722 rounded to one dp?\nAnswer: -34.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.737 + -8.843. Let w = -10 - a. Let p = 0.02 + w. Do -1 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -22, 581 in increasing order.\nAnswer: -22, 2, 581","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d + 1. Let c be o(-5). Let r = -377 + 388. Let g be (-46)\/r + (2256\/(-176) - -13). Sort 1, -1, g, c in ascending order.\nAnswer: g, -1, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 511323 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 8*k - 56. Let m(h) = 9*h - 49. Let g(x) = -3*m(x) + 4*o(x). Calculate g(16).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -47 - 24 - 5*a - 107 + 8. Let r be x(-34). Solve -m + 0 + 3 = r for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in one sixth of a week?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of -f**6\/360 + f**4\/6 - f**3\/2 + 2*f. Let h(k) be the second derivative of x(k). What is h(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-14))\/((p**(-3\/14)\/p)\/p)*(p\/(p\/(p\/(p**(6\/11)*p)*p*p)))\/(p*(p\/p**12*p*p)\/p*p) assuming p is positive.\nAnswer: p**(-205\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -g*w**2 + 1084159*g*w + 5753354*w**2 wrt g.\nAnswer: -w**2 + 1084159*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 550 + 2086 = 0. Let k = -251 - w. Solve -k + 4 = -3*v + 2*b, 2*v + 31 = -5*b for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 64 + -62. Suppose 7 = 2*d - 3*u, 2*d + 2*u - 14 = -w*u. Solve -2*r + 7*r = d for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12514, 12454, 12394, 12334, 12274, 12214?\nAnswer: 12154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence neh when three letters picked without replacement from {o: 4, m: 4, h: 1, e: 4, n: 1, f: 1}.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 10 = -2*l + 5*l, -5*l - 4*b - 45 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 948729 and 30?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 61, 99, 155, 229, 321, 431, 559?\n\"Answer: 9*g**2 + 11*g + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, w: 3, e: 1, i: 3, h: 1, n: 2}. What is prob of picking 1 i and 1 s?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100010110000 - -1000101100111?\nAnswer: 1101000010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = 5*f + 32, 635 = 19*f + 711 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2949175?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/1113 and 31\/73829.\nAnswer: 221487","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0494929 to four decimal places.\nAnswer: -0.0495","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 980 is divided by 53.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1002 + 1490. List the prime factors of v.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1417 in 2, -0.5, 4\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/42313824 and -47\/2739744.\nAnswer: 380824416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 3*r - 59 = 0, 2*s - 30 = -r - r. Suppose 11*t + 198 = s*t. What are the prime factors of t?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/4*40\/(-12). Suppose 0 = l*w - 6 + 11. Which is smaller: 2\/337 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1128811829?\nAnswer: 19777, 57077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19052469, 76209859, 171472173, 304839411?\nAnswer: 476311573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 167 divide 15426792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -4*(-4)\/(32\/10) + 10574 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of k**8\/6720 + k**7\/1260 - k**5\/30 + k**2. Let j(r) be the third derivative of t(r). Is j(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6022 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1438400 rounded to the nearest one hundred thousand?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15183385489 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**3 + 0*u**3 - u**3)*(67 - 67 + 43*u**2 - 281*u**2).\nAnswer: -238*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000250098771 to six dps.\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4733 plus 1083574833?\nAnswer: 1083574834.4733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 26048\/9 less than 2894?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-140)\/(-6)*966\/35. Let l(q) = -2 + 0*q + q**3 - 647*q**2 + u*q**2 + 2*q. What is l(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/49149 and 52\/67.\nAnswer: 3292983","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*z**3 + 1269732*z**2 - z - 2230262 with respect to z.\nAnswer: -24*z**2 + 2539464*z - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 17*d**2 + 17*d - 210. Let q be r(-14). Calculate the greatest common divisor of q and 665.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*v + 34*v - 44 = 0. Solve o - 5*l = -5 + v, -2*o + 1 = l for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*u**2 - 16*u = 0. Calculate u.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*-2*sqrt(180))\/(-4*sqrt(12)\/sqrt(2)))\/((sqrt(30) + sqrt(30) + sqrt(4320)*1)\/(sqrt(35)\/sqrt(112))).\nAnswer: 3*sqrt(5)\/56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let a be 303\/(-5) - (-3)\/5. Let u be (-255)\/a + (-6)\/(-8) - 0. Suppose x + 0*x + 51 = v, 0 = -x + u. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-18 + 528\/32)*(-94072)\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2 or 391?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2704071733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -3.603\nAnswer: -7.206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of f**7\/70 + f**4\/8 - f**2\/2 + 3. Let j(i) be the second derivative of s(i). Find the second derivative of j(a) wrt a.\nAnswer: 36*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i = -47*i + 70. Let o = 625 - 439. Suppose z + o = -i*z. What is z rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/(-18))\/(21\/18). Sort 0.3, -1, b, 4 in decreasing order.\nAnswer: 4, 0.3, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -346268835\/123781 + 47\/17683. Let b = r + 2802. Let 4\/7*h**3 + 48\/7*h - 24\/7*h**2 - b = 0. What is h?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (294\/8)\/(15\/40). What is the greatest common factor of q and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, g: 5, z: 2}. What is prob of sequence xgzg?\nAnswer: 5\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 418.66673 to the nearest integer.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 158926344 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*r - 7*r - 4*r)*(3 - 3 + 3)*(3 + 0 - 5) to l + s*r and give s.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 350 + 8\/7*w**2 + 40*w.\nAnswer: 2*(2*w + 35)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 243173 and 382129?\nAnswer: 2674903","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a gram in milligrams?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*x - 3*x**2 - 14*x - 10*x - x - 9*x.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -411*r*v**6 - 3143*r*v**3 + 9929*r*v**2 + 13*r + 2*v wrt v?\nAnswer: -49320*r*v**3 - 18858*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, w: 1, t: 2, p: 1}. Give prob of picking 2 t, 1 o, and 1 w.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 181213380 a multiple of 2388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120815795?\nAnswer: 5, 24163159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -11*j + 11. Let h(l) = -4*l + 4. Let f(i) = -8*h(i) + 3*n(i). Let k(b) = b - 1. Let x(z) = -15*z + 15. Let m(g) = 20*k(g) + x(g). Give 3*f(y) + m(y).\nAnswer: 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-714)\/(-135) - 3\/(-27) - 5. Factor -1\/5*w**3 - 1\/5*w**2 + x*w + 0.\nAnswer: -w*(w - 1)*(w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*m + 70*m - m**3 - 31*m - 20*m.\nAnswer: -m**3 - 6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2034405 (base 6) in base 15?\nAnswer: -1e178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**4\/3 - 8*h**3\/3 + 32*h**2 - 224*h\/3 + 160\/3.\nAnswer: -2*(h - 2)**3*(h + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**15)**18*(h\/(h\/(h\/h**(-1\/4))*h))\/(h\/(h*h\/h**(-2\/7)))*h**7 assuming h is positive.\nAnswer: h**(7799\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Product of 0.03 and 3913.\nAnswer: 117.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 51021604967 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 675 is divided by 68.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-57)*8*5\/(-160)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 52 - 38.9. Let o = r - 13. What is the closest to 2\/5 in o, 2, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30170 by 862.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3957703 and 7.\nAnswer: 27703921","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 477 = -472 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9 + 19299 - (2 + -3). Let c = -2317133\/120 + b. What is the common denominator of c and -4 + (-4724)\/(-336) + (-13)\/91?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z + 5. Determine p(-10).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/(-15) + 7\/3. Suppose n*s - 10*s + 168 = 0. List the prime factors of s.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-798)\/(-285)*10\/(-4)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 52 + -51. Let d(j) = 13*j + 6. Let q(w) = -66*w - 30. Let s(m) = -11*d(m) - 2*q(m). Let r(i) = i + 1. What is y*s(g) + 4*r(g)?\nAnswer: -7*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4955 and 335.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*m + 422 + 1438. Let b = 217 + m. List the prime factors of b.\nAnswer: 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -q**5 + 80*q**4 + 4242*q**3 + 47120*q**2 + 42959*q = 0.\nAnswer: -19, -1, 0, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 980.6513kg?\nAnswer: 980651300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a - 4*b - 3424 = -10*a, 2*a - 4*b = 1728. Calculate the highest common factor of 2756 and a.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 8*x - 65. Solve 3*v = -x*f + 15, -4*f - 3*v - 5 = -4*v for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3215 - -3167 - (0 - 110)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 92694*s*x**2 + 165*s*x + 120016554*s - x wrt x.\nAnswer: 185388*s*x + 165*s - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 41265 and 72990.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 56660?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 61 + -57. Suppose 4*z = 2*f - 8, -3*z + 2*f - 6 = -0. Sort z, 5, -3, o in ascending order.\nAnswer: -3, z, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 6:40 AM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2. Let t be (-4)\/6*3\/(-2). Let k(y) = 10*y + 21. Let u(l) = -14*l - 32. Let h(f) = -3*k(f) - 2*u(f). Determine t*h(r) - 2*w(r).\nAnswer: 2*r**2 - 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 2\/861, -1\/4, -1, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 69*u**3 - 141*u**3 - 3 + 43*u + 10 + 75*u**3 as j*u + d*u**3 + t*u**2 + c and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + 283 - (-11 + 7 + 9). Is 1\/3 greater than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1347 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/30772 and 55\/1513.\nAnswer: 46558036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -189 divided by 27?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110110100 (base 2) to base 14.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 + 8*b + 49. Give y(12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - -6 - 14\/1. Suppose 2 = 2*g - 22. Which is the second smallest value? (a) k (b) g (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.24*-2267.7.\nAnswer: 544.248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of a**5\/4 - 7*a**4\/24 - 7*a**3\/6 - a**2. Suppose -65*g + 18*g - 94 = 0. Let o(t) = -5*t**2 + 2*t + 2. What is g*y(s) - 7*o(s)?\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/311619 and -151\/7854.\nAnswer: 10595046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -1637*f**3 - 352 + 547*f**3 + 550*f**3 - 9*f**2 + 542*f**3 as k*f**2 + x*f**3 + z*f + u and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 773.487 + -773. Let y = -21.513 - o. What is the nearest to -0.2 in 0.3, 0.5, y?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*n + 3 - 1 + 0)*(5*n**3 - 16*n**4 - 5*n**3).\nAnswer: 128*n**5 - 32*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 601*p - 6 + 0 + 3 + 1067*p in the form d*p + o and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**2 + 127*h**4 - 113*h**4 + h + 4 - 3 to the form j*h**2 + w + t*h**4 + v*h + a*h**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/32*1\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4581*q - l - 2 = -4578*q, -2*q + 4*l = -50 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in -77, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 885*r - 44789 = -3312*r - 440*r - 420386 for r.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v - 7*v - 35*v as m + w*v and give w.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/3799 and -8\/117943?\nAnswer: 15450533","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1948 by -2.\nAnswer: -974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n + 5. Suppose w - 2*m = -2*w - 30, -3*w - 3*m - 45 = 0. What are the prime factors of p(w)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -1 + (-8)\/2 + 162 is divided by 69?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -51296, -51292, -51286, -51278, -51268, -51256?\n\"Answer: u**2 + u - 51298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of -v**4\/3 + 3*v**2\/2 - 7*v. Let y(i) = 12*i**2 - 8. Give 8*d(q) + 3*y(q).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11507088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 121 or -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (786 - 771) + (5 + 3 - -18)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5880 by -30.\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) -5 (b) 0.1 (c) 58\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1512 and 2132424.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a millimeter in nanometers?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1\/16 of a millisecond?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -499 divided by 74?\nAnswer: -499\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13086*a**3*f**4 + 3*a**3*f**2 + 412094*a**3 + 10*a*f**2 + 1245*f**4 wrt f?\nAnswer: 314064*a**3*f + 29880*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in sixty-nine halves of a milligram?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13 and 133120?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 677568 + 677571 + 677578 - 3*h**2 - 2032717.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2270212374324 minus 148?\nAnswer: 2270212374176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.06178 + 0.66178. Which is the closest to 1\/4? (a) 5 (b) u (c) 0.26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 27454, 54188, 80928, 107674, 134426, 161184, 187948?\n\"Answer: 3*p**2 + 26725*p + 726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 8601444273?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 30241415*w - 2. Let c(p) = p. Give m(c(s)).\nAnswer: 30241415*s - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-215)\/(-4) - 1\/(-4). Suppose -3*s + 164 = 2*g, 57 + a = 2*s + 3*g. Let n = -22 + s. Is 11 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/38010 and 163\/266070?\nAnswer: 266070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/147 and 10\/4 - 5910\/1620.\nAnswer: 1323","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2330 + 3*x + 4*x - 4*x - 2351. Let q(s) = 5*s**2. Calculate m(q(r)).\nAnswer: 15*r**2 - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f - 2*f - f + (2 - 2 - 1)*(-3*f + 4*f - 2*f) + 3001 + 70*f - 3001.\nAnswer: 68*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8978929 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2*v - 8 = 0. Suppose -v*n = -n + 5*x - 11, -5*n - 5*x + 15 = 0. Let s = 0.35 + -0.05. Sort -3, n, s.\nAnswer: -3, s, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -401283*a**4 - 9*a**3 - 34*a**2 + 102990?\nAnswer: -9630792*a - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Solve 141*u - 161*u = 204*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6030, 48602, 164148, 389154, 760106, 1313490, 2085792, 3113498?\nAnswer: 4433094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -138497*d - 7201840. Give r(-52).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 2*d**2 + d. Suppose -t - 7 = -5. Give j(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36 + 3. Does 24 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {v: 5, s: 7}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**15\/(c*c\/(c\/(c**11\/c)))*c\/(c**(-1\/10)*c)*c**(-1\/6) assuming c is positive.\nAnswer: c**(59\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (50 + 820 + 1519 - 111)*(0*c + 2*c - 3*c).\nAnswer: -2278*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - 3\/2)*2. Let j be (45\/10)\/9 - 2\/8. Put j, s, 4 in increasing order.\nAnswer: s, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -673 (b) 57512\/3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 23 (b) -1\/6 (c) -1 (d) -0.2 (e) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 8950, 8958, 8980, 9022, 9090?\n\"Answer: f**3 + f**2 - 2*f + 8950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/4)\/(0 + (-8)\/(-22544)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 1235071*b + 42. Calculate u(0).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154 is divided by 80?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16 or 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1379661 is divided by 459857?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a. Let g(j) = 507*j - 3. Determine z(g(q)).\nAnswer: -1014*q + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 901.3934cm to micrometers.\nAnswer: 9013934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 32\/11 bigger than 59.7954?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.07 and 0.092.\nAnswer: -0.00644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 785010, -1\/3 in increasing order.\nAnswer: -2, -1\/3, 785010","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0475259308 to 6 dps.\nAnswer: -0.047526","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v + 1. Let r be p(-6). Let x(d) = 5*d**2 - 8*d + 13. Let l be x(6). Suppose -5*j - l = -5*f, -3*j + 121 = r*f - 2*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/(-200)*10\/(-18)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + (-2 - 0) + -153. What is the units digit of (-2)\/5 + b\/(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 20 - 20 - 6*i**2. Let y(p) = -33*p**2 + 9*p**2 + 9*p**2 + 7*p**2 + 15*p**2. Determine k(y(v)).\nAnswer: -294*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 384 = -4*s + 20*s. Calculate the remainder when 94 is divided by s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 5 + 34*h + 3 + 8 - 26*h + 2*h**2. Let q = -5 - -20. Calculate the remainder when f(-7) is divided by q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 345\/9 - (11\/(-3) + 5). Solve 4*g = -5*s + a, 4*s - 1 - 34 = -5*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -0*v - 12. Let b be ((-362500)\/v)\/(1\/(-288)). What is b rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 5:45 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/4 (b) -5 (c) -6 (d) 0.18 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 23315, 46646, 69993, 93362, 116759, 140190, 163661?\n\"Answer: x**3 + 2*x**2 + 23318*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of 0*f - 2\/385*f**7 + 1\/44*f**6 + 2\/11*f**3 + 25*f**2 + 0 + 0*f**5 - 5\/44*f**4. Determine m, given that t(m) = 0.\nAnswer: -1, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (19 - (9 - -4)) + 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5174*a**3*i**3 - 15*a**3 + 18225*a**2 + 3695*a*i**3 - 131*a with respect to i.\nAnswer: 15522*a**3*i**2 + 11085*a*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 2*c - 17, -b + c = 8 + 4. Let q = 10 + b. Solve -w - q*w = -16 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2187 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/3*(-180)\/30.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of -2*d**7\/105 + 4*d**6\/15 - d**5 - 4*d**4\/3 + 32*d**3\/3 - d**2 - 3*d. Find z such that f(z) = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -204414 (base 7) to base 3.\nAnswer: -1210021110","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 2)*(-1 + 3 + 0)*(4*p + 6 - 6).\nAnswer: 24*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*h - 83 + 48 + 46)*(0*h - 2*h + 4*h)*(178*h + 113 - 113) to r*h**3 + g*h**2 + a*h + u and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.2, -0.3, 1\/5, 2\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 9) in base 12?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.5 + -2.2. Put 0.1, p, 0 in ascending order.\nAnswer: 0, 0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -528965, -529068, -529173, -529280, -529389?\nAnswer: -529500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = 23*p - 28*p - 12*w, 0 = 5*p - w + 8 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + 1968457?\nAnswer: 1968455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14108677 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 41\/4 + -10. Which is the third biggest value? (a) t (b) 4\/3 (c) -1\/10 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 443, 481, 521, 563, 607, 653?\nAnswer: 701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/4 and 87\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((-144)\/15)*4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 152.\nAnswer: 3\/152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 4325*i - 30255. Let b = 252 - 150. Calculate the lowest common multiple of r(7) and b.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -207822, -207859, -207896, -207933, -207970, -208007?\n\"Answer: -37*o - 207785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-6))\/((-6)\/(-18))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1489351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 4*h + 8 = 0. Let d be (-21 - h)\/(2\/(-6)). Suppose -5*p + 2*p + d = 0. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f + 2. Let z be c(2). Let t(w) = w + 4. Calculate the smallest common multiple of t(z) and 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 20*s**2. Let b(c) = 17*c**2 + 266506*c - 266506*c. Determine l(b(p)).\nAnswer: 5780*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 5*i**2 + 6*i - 3. Let s be a(6). Let g be 2\/s + (-2)\/6. Calculate the remainder when 18 is divided by g\/2 - 84\/(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-2)*((-8)\/(-2) + -4). What is the nearest to 1\/4 in l, -1\/6, 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6 + 3)\/(14\/((-481810)\/15)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1293 is divided by 81?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/12, -109, 440\/9?\nAnswer: -109","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1449 and 47067591.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 - 8*c + 9. Calculate r(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -t**2 - 5251*t - 92222 wrt t?\nAnswer: -2*t - 5251","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12323391?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 104007258 less than or equal to 104007258?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (7 - -3264)*(26\/12 - 2). Let a = -4880\/9 + k. Calculate the common denominator of -71\/54 and a.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.09*-48.7.\nAnswer: 4.383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 41*s + 2. Let c be i(2). Suppose -5*d = -d - c. Suppose 0 = -5*n + d + 4. Solve -9 = n*j - 0*j - 4*w, w - 1 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 5*c - 12*c. Sort 2, c, -5.\nAnswer: -5, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33 + -15. Let n = -6 + p. Is 228\/n + (1 - 0) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -102*u + 208. Let x be m(2). Which is the nearest to 0? (a) -5 (b) x (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -3, 0.1 in ascending order.\nAnswer: -3, 0.1, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 8:35 AM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.87371 to two dps.\nAnswer: 5.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 + 2*z + 67. Let w be j(0). Suppose s + w - 318 = 0. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6671 = 85*z + 5422 - 5381 for z.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**2 + 12855*r + 5761350 = 0. Calculate r.\nAnswer: -12390, -465","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -4*w. Let s(m) = -1763*m**2. Calculate s(d(n)).\nAnswer: -28208*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000067925916 to six decimal places.\nAnswer: -0.000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s**3 - 32*s**2 - 878*s - 7620. Determine g(-9).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-166)\/3)\/(32\/(-48)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*s + 5*c + 13, 27*s + 3*c = 26*s - 8 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -262.0026416506 + 0.0026273506. Let k = -6.05 + -255.95. Let c = j - k. Round c to 6 decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 96 + -55. Let x = o - 40.99. Which is the third smallest value? (a) 1\/2 (b) 0 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77, 135, 193, 251?\nAnswer: 309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147 is divided by 52.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-18900)\/(-81) + 2\/3. Calculate the highest common factor of 26 and a.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -14)\/((-225)\/(-27) - 9).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 8*r - 28. Suppose -8*w + 5 = -7*w. What is the smallest common multiple of r and w?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 4*z = 20, 3*z - 10 = -3*n + 5*z. Suppose n = 44*b - 26*b. Solve 0 = f - b - 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187875341 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-2) + 49\/(-98))*206\/(-14523)\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**5\/q)*q**(2\/17)*q*(q**(3\/4)\/q*q*q)**(2\/17))**(2\/15) assuming q is positive.\nAnswer: q**(-19\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3935*v = -3932*v - 3*w - 81, -26*v + 2*w + 810 = 3*w for v.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -45 + 48. Let h = -704.23 - -695. Let g = -0.23 - h. Which is the biggest value? (a) g (b) n (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 43 = 40. What is the third derivative of 81*j**3 - 81*j**2 + j**5 + 48*j**3 + 2*j - 83*j**z wrt j?\nAnswer: 60*j**2 + 276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -4*v**2 + 117*v + 120. Calculate y(29).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 241310 (base 5) to base 11.\nAnswer: 6801","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2451 = -31*c + 26*c, 3*i + 3*c - 1836 = 0. Let x = i + -567. Calculate the remainder when 81 is divided by x.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 11:16 AM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 12*l + 1. Let b(p) = -35*p - 2. Let s(f) = 3*b(f) + 8*x(f). Let j be s(-2). Let r = j + -13. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 68\/69 and (26\/(20 - -188))\/(((-333)\/548)\/(-1))?\nAnswer: 15318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of 5*m**4\/12 - 7*m**2\/2 - 6*m - 5. Let a(u) = -2*u. Determine j(a(i)).\nAnswer: 20*i**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 38543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = c + 3*o + 16, -186 = -3*c + 3*o. What are the prime factors of c?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2337183 divided by -279.\nAnswer: -8377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**2\/u**(2\/5))\/(u**(-2\/7)\/u**(-6))*u**(-2\/9)\/u**(1\/2)*(u\/u**(-1))**(2\/11) assuming u is positive.\nAnswer: u**(-30997\/6930)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p**3 + 14*p**2 - 68*p. What is g(-7)?\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + 15.2. Let h = 0.6 + -0.1. Which is the closest to 0? (a) h (b) 1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 549, 520, 493, 468, 445, 424, 405?\nAnswer: 388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -13*i**3 - 4*i**2 - i + 4. Let v(d) = 1022*d**2 - d**3 + 1 + 1019*d**2 - 2042*d**2. Determine -m(c) + 4*v(c).\nAnswer: 9*c**3 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*r + 0*r + 0*r)*(4 + 0 - 5) - 4*r + 4*r + r + 22*r + 6435 + 34*r - 6384 as s + x*r and give x.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -4.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 4*g**2 + 3*g + 4. Let j be 6*(1\/(-2) + (-10)\/60). What is l(j)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -125825*s**6 - 3*s**4 - 2*s**2 + 38299*s + 135.\nAnswer: -15099000*s**3 - 72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4)\/85)\/((-42)\/30))\/(55*(-138)\/53130).\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 68 = 2*y, -11*b = -16*b + 2*y + 52. Solve -15*r = -b*r - 10 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(i\/i**(-1))\/i*i)**(-22)\/((((i*((((i**0*i)\/i)\/i)\/i*i*i)\/i)\/i)\/i)\/i)**(5\/6))**(-1\/3) assuming i is positive.\nAnswer: i**(127\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -524\/9 greater than or equal to -57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 272, 1084, 2438, 4334, 6772?\n\"Answer: 271*y**2 - y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1297.\nAnswer: 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -0*y + 2. Let q(j) = -9*j**2 + 5*j**2 + 3 + j**3 + 0*j**y - j. Give q(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/(-10)*(-315)\/42*3\/6. Let q = 219\/5 - 44. Which is the third smallest value? (a) -0.5 (b) q (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 5. Let k be 5\/x*1*6. Let n be k\/(6\/(-2))*1. Solve m - 5*m + 3*b = 11, -5*m - n*b = 5 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1 (b) 2\/1165 (c) -3\/5 (d) 0.9171\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-3))\/1*(-2)\/30\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnn. What is prob of picking 4 n?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/7, 11, 1\/45, -16\/5, 2?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00334511 to four decimal places.\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16.273 - -16.45459. What is k rounded to 3 dps?\nAnswer: 0.182","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12505 + -7216. What is the highest common divisor of c and 129?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 321577 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 3*l + 708 = 0, 0 = 2*u - 0*l + 3*l - 477. Suppose 237 = 4*z - m, 0*z = 4*z - 3*m - u. Suppose 6*p - 3*p - z = 0. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 47*o**2 - 133*o + 84. Calculate i(44).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 minus -95411985?\nAnswer: 95412015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -9.5 (b) 0.0177 (c) -2 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 4 = 3*x - 2*k, -9 = -4*x - k. Factor -4*s**3 + x*s**5 - 14*s + 16*s + 0*s**5.\nAnswer: 2*s*(s - 1)**2*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 78*g**4 - 64*g**3 - 75*g + 29*g**3 + 35*g**3 wrt g?\nAnswer: 936*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -2*k, u - 3*u + k + 5 = 0. Let x = 71 - -41. Suppose u*w - x = w. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 2 + 8. Suppose 4*x + 4*y + 4 = 0, 0*x = j*x + 2*y. What is the second smallest value in -5, 0.4, x?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*(-4)\/(-6) - 2. Suppose g*n + n + 2 = 0. Is n\/3 - 28\/(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5911 - -118251\/20. What is the common denominator of f and -31\/18260?\nAnswer: 18260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -9*l**2 + 60*l + 23. Let g be n(7). Sort -9, g, 1 in decreasing order.\nAnswer: g, 1, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2980485, 2980486, 2980487, 2980488?\n\"Answer: g + 2980484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37 - -65. Let l = -46 + 59. Let p = w - l. Solve 4*s + a - p = 0, 2*a + 3*a - 18 = -s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1271 + 13658. Suppose h = -l - 3090, -2*h - p = 2*h - 5*l. Let k = h + 15516\/5. Which is greater: k or 10?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7562.7 - 7970. Let b = 407 + i. What is the closest to -1\/2 in b, -0.5, -0.1, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 5. Calculate the common denominator of 31\/10 and ((-371)\/6)\/(-7)*t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1190376 + -10713232\/9. Factor 46\/9*c**2 + 2\/9*c**3 + m + 160\/9*c.\nAnswer: 2*(c + 2)**2*(c + 19)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73 + 217 - 80 + 2*j - 64.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s - 3*s - 3*s)*(-3652 + 635 - 2104 - 1913 - 50).\nAnswer: 7084*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 2386.30325 to the nearest one hundred.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2145 by 1440.\nAnswer: 143\/96","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -283 + 411. Suppose -y = -5*f + 7. Is 18 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11819 - 130011\/11. What is the closest to 0.196 in -0.1, q, 0, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1428463 and 4768?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -282368*v**2 - 8918 wrt v?\nAnswer: -564736*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (7 - (2 - 2)) + (-5 - -2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 961 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/(-171)*(-1086)\/(-51947)*-19.\nAnswer: 4\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 221 + 6959*a - 526 + 305. Let u(g) = g**2. Calculate q(u(m)).\nAnswer: 6959*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 102\/15 + 4\/20. Calculate the greatest common factor of g and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-3 + 2*(0 + sqrt(7)))*6)**2.\nAnswer: -408*sqrt(7) + 1297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 11*s + 43 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - 6*f + 4. Determine q(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 658*i - 1312*i - 629*i.\nAnswer: -1283*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 503953708?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 - -20. Let a(k) = 7*k**2 - 7*k**2 + b*k**2. Let r(c) = 168*c**2 - 89*c**2 - 91*c**2. Determine a(r(m)).\nAnswer: 288*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4611 minus 581.988135?\nAnswer: -5192.988135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3846 + -2474. Suppose 2*r - 442 = g. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -0.8 (c) -3 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/62 and -133\/1032?\nAnswer: 31992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19359 = 3*j + 2823. Let m(w) = -5512 + 19*w + j. Let t(k) be the first derivative of -k**2\/2 - 14. Give m(t(l)).\nAnswer: -19*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 220 a factor of 77494676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1564.66 + 1590.6. What is x rounded to zero decimal places?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {k: 11, a: 9}.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((9\/54)\/((-15)\/90))\/(38\/6).\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -330404240 - -30?\nAnswer: -330404210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 566?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 6 = -5*q. Suppose 0*v + q*v - 6 = 0. Suppose 6 = b + 2*c, b - v*c - 3*c + 15 = 0. Solve b = -5*t + n - 4 - 3, -3*n = 2*t + 13 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 4 - 1 + (-4 + 4 - 1)*(2 + 1 - 2) + 2 - 1 - 2)*(0*p**3 + 2*p**3 + 0*p**3)*(-4*p + 2*p - 3*p).\nAnswer: 60*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 1 = -3*m + 9, 2*m = -z + 11. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -3*u + 1 - 4 + u**2 + 8*u + 1. What is the units digit of c(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -117, -116, -115, -114, -113?\n\"Answer: n - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + 5 + -128*4\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v + 101 = 10*v. What is the second derivative of -l**3 - l**3 + 0*l + 37*l**2 + 5 + v*l**2 - 3*l - 5*l wrt l?\nAnswer: -12*l + 276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - 0) + (36 - (-11 + 10)) + -6?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - n = -45, 6*n - 5*n - 21 = -2*x. Let j be (6 - (x + -3)) + 3. Which is the third biggest value? (a) j (b) -56 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 6*t**2 + t. Let x(v) = -v**3 - 5*v**2 + 3*v + 9. Let q(w) = 2*w + 11. Let a be q(-8). Let z be x(a). Calculate o(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 67 + -60. Suppose -f*x + 6*x = 5. Let g be (-2 - x)*(-8)\/(-56). Which is the fourth biggest value? (a) g (b) -4 (c) 4 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 1, 2, -228?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 21*i - 9 = 0, 1191*q - 1188*q - 5*i = -35 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1313152\/87 + 15093. Let n be 118\/(-58) - (-3 + 1). Let y = h - n. What is the nearest to 0 in y, -0.4, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 121 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqbqblewqbeqelqbtt. Give prob of sequence ewl.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/8 + 13\/20. Which is the second smallest value? (a) 0.3 (b) i (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1201, 2296, 3379, 4444, 5485, 6496, 7471?\nAnswer: 8404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2*b = -24, 30*l - 27*l + 36 = 3*b. Let k be (3*3)\/((-2)\/2). What is the third biggest value in k, -2\/5, -3, l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 878 - 1716. Let c = 850 + m. What is the greatest common divisor of c and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(490) - (sqrt(490)*-1 - sqrt(490)))*-4 - -1*(sqrt(490) + sqrt(490) + 1*sqrt(490)))\/(3*4*(sqrt(5) + 1*sqrt(125))))**2.\nAnswer: 49\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 336 and 22122352?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c + 1. Let y be n(-7). Let q = -2 - -2. Suppose -7*h - 71 = -85. What is the nearest to q in h, y, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -458*o + 3410 = 13310 + 17122 for o.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -420*n + 12118 = 2878 for n.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 230 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6093900.\nAnswer: 2, 3, 5, 37, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = v + 38. Suppose 3*g + 26 = -31. Let c = g - v. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2723682 (base 10) to base 11\nAnswer: -15a0385","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 4398*l + 25 + 31089*l.\nAnswer: 35487*l","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (186\/63 - 111\/(-2331))\/(3\/41).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23790 is divided by 362?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i**2 - i - 1. Let a be l(-1). Suppose -a*m = -3*r - 7*m + 33, m = r - 11. What are the prime factors of r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7714798?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7 - 87\/(-12))*0. What is the nearest to n in 24, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - 4*q**2 + 3*q - 6. Let b be n(-5). Suppose 2*c - 12 - 2 = -w, 0 = -3*w - b*c + 50. Is 11 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -2*o**4\/5 + 36*o**3 - 5058*o**2\/5 + 38584*o\/5 + 166296\/5 = 0.\nAnswer: -3, 26, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -73\/28 - -3\/28. Let n = k + 37\/18. Which is the biggest value? (a) -4 (b) -2\/11 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(272) + -2 - sqrt(272))*-6*-3*6)**2.\nAnswer: 46656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 152\/1254*(-3)\/2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8345018?\nAnswer: 2, 11, 379319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 188 = 139*q + 150*q - 299*q, -5*d + 25 = 2*q for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8190 a factor of 1087214310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 165 and 15175435?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 12:44 PM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3115*p**2 + 3103*p**2 - 6228*p**2.\nAnswer: -10*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31 + -22. Let y(h) = -h**3 + 10*h**2 - 10*h + 6. Determine y(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 250\/(-6) - (-3)\/(-9). Let o(b) = 8*b + 8. Let r be o(7). Let y = r + l. Is 11 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 4*c = 0, 0*q - c = -q + 3. Let m = 2 + -1.7. Let z = 20 - 20. What is the third smallest value in m, q, z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 e when three letters picked without replacement from {k: 1, o: 5, e: 4, n: 6}.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((20\/6)\/5)\/(8\/24). What is the greatest common divisor of 34 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 3:49 PM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 65\/3 + -22. Suppose 38*y + 16 = 30*y. Which is the nearest to 0? (a) 2\/11 (b) q (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -3.33, -1\/5, 0.2, 0.4?\nAnswer: -3.33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 2*z - 20 + 162, -z - 7 = 0. Calculate the highest common divisor of 2432 and q.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -15*k + 10*k. Suppose 5*i + 0 = k*p - 15, 2*p + 9 = -3*i. What are the prime factors of ((-11)\/i)\/(1\/3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 10*s - 8. Let x be r(8). Let o be (-2)\/8 + 18\/x. Put -0.5, 0.3, o in decreasing order.\nAnswer: 0.3, -0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -c + 89, 46*u - 41*u + 5*c = 65. Solve -5*o = -2*k + 12, 4*k + 17 = -5*o - u for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of 23*n**3 - 55\/2*n**2 + 0*n - 21. Find the second derivative of a(o) wrt o.\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.09 in -0.9, 5\/36, 0.1, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 4\/(-2) + 5 + 13?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 6, 1, 5, 864, -4 in descending order.\nAnswer: 864, 6, 5, 4, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2 + 130445*p - 4310130.\nAnswer: 5*(p - 33)*(p + 26122)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 15*j - 13. Let r(k) = 7*k - 6. Let p(g) = -9*g**3 + g**2 - 1. Let l be p(1). Let t be (-12)\/9*l\/(-2). Calculate t*v(i) + 13*r(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - (10 + -7 - -4 - -9)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-3\/13)*b)**27\/((((b**28\/b)\/b)\/b)\/b*b\/(b\/(b**3*b))) assuming b is positive.\nAnswer: b**(257\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 7 = -5*w - 26, -4*w - y = 16 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -o + 4. Suppose 0 = -4*h + 3*a + 21, 4*h - o*a = a + 27. Solve 0 - 15 = -h*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of 0 + 3*h - 1\/2*h**2 + 1\/3*h**3 - 1\/12*h**4. Factor r(g).\nAnswer: -(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12.6649 - 0.3351. What is the fourth biggest value in 0, 0.1, w, 2, 1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-17)\/(3315\/39))\/(6\/20)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 3:30 AM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a day in minutes?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4996\/5 - -999. Suppose 0*c = -4*k + 4*c + 32, -32 = -5*k + 3*c. Let w = 11 - 45\/4. What is the closest to 2\/11 in k, n, w?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or -94.49?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 14\/39 (b) -1 (c) -496\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 77\/27?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2720*q*s**2*y**2 - 63*q*y**2 + 28424*s**2*y**2 - s*y**2 with respect to q.\nAnswer: -2720*s**2*y**2 - 63*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0542 - -0.1342. Let z = -1 + 0. Is z less than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of 3*j**6\/80 - j**5\/120 + j**4\/12 + 2*j**2. Let l(q) be the second derivative of u(q). Does 14 divide l(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0033807659 rounded to 5 decimal places?\nAnswer: -0.00338","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of -1\/336*t**8 + 0*t**6 + 1\/24*t**4 + 0*t**7 + 0*t**3 + 3*t**2 + 0*t**5 + 0*t + 0. Find the second derivative of f(i) wrt i.\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 577332 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**33\/((f**(-29)\/f)\/f))**(7\/4) assuming f is positive.\nAnswer: f**112","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(1\/(-1 - 5)). Let v = -68 - -67. Let z = f + v. Sort -1, z, 2.\nAnswer: -1, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k**2 - 3*k**2 + 7*k**2 + 247*k - 127*k.\nAnswer: k**2 + 120*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(7) - (sqrt(35)\/sqrt(5) + 3))**2 - (-2 + sqrt(252)) - ((sqrt(7) + 1)*-5 - (0 + sqrt(112) - sqrt(7)))).\nAnswer: 6*sqrt(7) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9 - (-644)\/(-70) - (-41821)\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*390.5.\nAnswer: 195.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) -1\/9 (c) 18\/11 (d) 0.2 (e) 0.3 (f) 0.2932 (g) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 84 = 456. Suppose g = 16*y - 14*y. Does 18 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 3. Let v be (-1 + g)*(-39)\/(-2). Suppose 26 = 2*r - v. What is the highest common factor of r and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2*1)\/(-4))\/(72\/(-1296))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 - -27. Let y(z) = z**2 + z + 5. Let v be y(0). Suppose 0 = -v*t + t - 4. Which is smaller: s or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/8*(-544)\/80*10?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -18952.29443 to the nearest one thousand.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -118422 divided by 2193?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -64, -52, -1 in decreasing order.\nAnswer: -1, -52, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y\/(y**(-2\/63)\/y)*y\/(y*y**(3\/23)*y*y)*y*y assuming y is positive.\nAnswer: y**(4204\/1449)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -227594 - 1174519.\nAnswer: -1402113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, 0, -0.1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dod when three letters picked without replacement from doodoo.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -510 + 318. Let p be (-144)\/d*(-20)\/(-3). Let i = 13 + -5. Is p equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 3.14. Let w = 0.14000052 + d. Round w to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (11\/3)\/(127\/(-1143)). Let r be -2 + 2 + 1 + 1. Sort r, 5, h in ascending order.\nAnswer: h, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -499, -236, 483, 1886, 4201, 7656?\n\"Answer: 38*z**3 - 3*z - 534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29.86 * -24639.\nAnswer: 735720.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3638677 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*q**3 - 4475*q**2 - 20320*q - 9040.\nAnswer: 5*(q - 452)*(q + 4)*(2*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(-10)*(-10)\/(-4). Let p(d) = -5*d**3 + d**2 + 3*d + 2. Let a be p(o). Solve -t = q + q + 5, -5*q = -3*t + a for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**5\/13 - 244*c**4\/13 + 746*c**3\/13 - 500*c**2\/13 = 0. What is c?\nAnswer: -125, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, -148, -6, 2 in increasing order.\nAnswer: -148, -6, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4002 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 - -0.1. Let q = 0 + -0.2. Let g = 0.1 + q. Which is the biggest value? (a) t (b) 4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34 + 56 + 35)*(-11 + 23 + 2)*(-2 - 1 + 1 + 2*q).\nAnswer: 1596*q - 1596","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 23 + j**3 + 0*j**3 + 43 - 7*j**2 - 11*j**2 wrt j.\nAnswer: 3*j**2 - 36*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 AM and 4:38 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -535 - -539. Let k = -13 - -37\/3. Let t = -3 - -2.8. What is the third smallest value in k, u, t?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q\/(q*q**(-5)))*(q**(-2\/13)*q*q*q)\/q*q)\/((q*q**3)\/q**(1\/2)))**(-4\/5) assuming q is positive.\nAnswer: q**(294\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 7973573 and -4057.\nAnswer: 7969516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 40*o**5\/7 + 146*o**4\/7 - 1038*o**3\/7 - 716*o**2\/7 - 16*o = 0.\nAnswer: -7, -2\/5, -1\/4, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16879.829 + -16887. Let f = -7.2 - s. What is f rounded to three dps?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {x: 3, r: 11}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 381 divide 2166391613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 938\/3*s**2 - 626\/3*s - 623\/6*s**3 + 0 - 1\/6*s**4.\nAnswer: -s*(s - 2)*(s - 1)*(s + 626)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 92, 78, 54, 14, -48, -138, -262, -426?\n\"Answer: -k**3 + k**2 - 10*k + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s - 11. Let k = 212 + -222. What is g(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29.946 - 0.054. Let d = -32.9 - g. What is d rounded to 1 decimal place?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wvvw when four letters picked without replacement from {o: 3, y: 3, w: 4, v: 3}?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 57762?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-16)\/40 - 51\/(-15). Suppose -3*j - 159 = -c*y, 3*y + 2*j = 62 + 102. Let g = 113 - y. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*u**5\/3 + 368*u**4\/3 + 350*u**3\/3 - 152*u**2 - 90*u = 0. Calculate u.\nAnswer: -45, -3\/2, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96063*q + 96049*q - 116 + 116.\nAnswer: -14*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 128685682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4152 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 108*j**2 - 22*j + 21. Let g be c(1). Suppose g = 16*q - 133. Solve -q + 3 = -6*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 7, q: 7}. Give prob of sequence qq.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 74\/10 - (9 + -2). Let c = -83 + 117. What is the smallest value in -3, i, c?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*o - 4, -4*r + 5*o + 229 = 0. Suppose -3*f + f = -r. Suppose f*l + 10 = 33*l. Let q(a) = a + 2. Give q(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -67.1 + 67. What is the nearest to 1 in d, -3, -0.7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i + 2*i + i)*(-2*i**3 - i + 4*i**3 + 4*i).\nAnswer: -2*i**4 - 3*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 11*o + 73. List the prime factors of i(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 660851 is divided by 391.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 29 + 179. Let c(u) = -u**3 - 14*u**2 - 26*u - 7. What is the remainder when x is divided by c(-12)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.07 - -0.13. What is the second biggest value in a, -1\/4, 0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 120*z**5 - 61*z**2 + 27988*z?\nAnswer: 2400*z**3 - 122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31687?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 346 a factor of 206369624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u, 1 c, and 1 b when four letters picked without replacement from uuugcrggcuguugbggu.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2697*d + 903504. Determine g(-335).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*b = -21*b + 345. Let a = 4 + -4. Suppose -4*c + a*c + 72 = 0. Calculate the remainder when b is divided by c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 9:49 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 254365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -2715000 to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.87 + 1.6.\nAnswer: 4.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70168851?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let j be (-15)\/280*-8 - (-39)\/7. Is (-12 - 1250)\/((-4)\/j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6336941?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4812, -1367, 4384, 12441, 22804, 35473, 50448?\n\"Answer: 1153*u**2 - 14*u - 5951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1028, -1139, -1328, -1601, -1964, -2423, -2984, -3653?\n\"Answer: -s**3 - 33*s**2 - 5*s - 989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1036 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -64.9081 to the nearest integer.\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12750 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a - 10*a + 16*a = -12 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 50983 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -474*b**3*j**3 - 1154*b**3*j**2 + 311*b**2*j**4 - 2*b**2 + 146*b*j**2 wrt j?\nAnswer: -2844*b**3 + 7464*b**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-87) - ((-6120)\/348)\/6. Sort -8, t, -3, 0 in descending order.\nAnswer: t, 0, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xi when two letters picked without replacement from {p: 2, f: 1, x: 1, r: 2, i: 3, d: 6}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -1\/521210?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3 = -4*w. Suppose 0*q + w*q = 78. Calculate the remainder when 102 is divided by q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1299.525l to millilitres.\nAnswer: 1299525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1292)\/(-95)*(-110)\/(-374)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3240 and 225?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 353 is divided by 59.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8382.872 millennia in years?\nAnswer: 8382872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/2294 and -81\/202.\nAnswer: 231694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135*u = -137*u + 72. Suppose 0 = 13*h - u - 81. Let a(w) be the second derivative of -w**5\/20 + 2*w**4\/3 + 5*w**3\/3 - 6*w**2 + w. Give a(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1634.426 years?\nAnswer: 1.634426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5894 = -74*k + 121978. What is the greatest common divisor of 600 and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -3*f**3 - 444*f**2 + 897*f - 450 = 0.\nAnswer: -150, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 234399?\nAnswer: 3, 11, 7103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3*l + 21 = 0, -y + l - 1 = -9. Suppose -2*h + h - y = -2*n, n + h - 6 = 0. Suppose -2*b = -n + 1. Solve b + 3 = v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*(-1 + -5) - 418\/(-22). Let d(y) = 10*y**3 - 7*y**2 - 7*y - 2. Let j(t) = -9*t**3 + 6*t**2 + 6*t + 2. What is m*j(a) + 6*d(a)?\nAnswer: -3*a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4824.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38.04 - 38.0407598. Round y to five decimal places.\nAnswer: -0.00076","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 242 + -340. Let t = -1674\/17 - x. Which is the second biggest value? (a) t (b) -4 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/((-3)\/6) + 4. Let s = l + 3. Let j = s + -2. Solve -j*b = 2*b + 20 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zutaztuat. What is prob of picking 1 a and 1 t?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**4\/7 - 232*m**3\/7 - 1578*m**2\/7 + 231100*m\/7 + 560000 = 0 for m.\nAnswer: -98, -25, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2124021132 + -11?\nAnswer: -2124021143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 20143 (base 8) in base 3?\nAnswer: 102101002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 115133078 to the power of 1\/3, to the nearest integer?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 13*h**2 - 12*h - 19. Let z be a(-2). What is the second derivative of 4*q + z*q + 8*q - 107*q**3 wrt q?\nAnswer: -642*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 116862 divided by 6.\nAnswer: 19477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*m**4 - 10*m**3 + 23*m**4 - 6*m**4 + 15*m**2 - 15*m**4 = 0. What is m?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 445, 441, 425, 391, 333, 245?\n\"Answer: -m**3 + 3*m + 443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 447*k - 107*k = 128*k + 101*k + 777 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f - 6. Let p be v(-4). Let j(b) = -66*b + 14. Let w be j(-1). Suppose 2*i - w = -p*i. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4164667.7 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/(-2)*-2)\/1. Suppose g = 3 - h. Is (38\/4 - 0)*g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1325607.2 less than -0.1?\nAnswer: -1325607.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11*h**2*p + 464098*h**2 + 435*h*p + p wrt p?\nAnswer: -11*h**2 + 435*h + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1353332, -1353349, -1353370, -1353395, -1353424, -1353457, -1353494?\nAnswer: -1353535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 65 - 53 = -102, 5*o - 289 = 4*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, i: 5}. Give prob of picking 2 r.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1436919 (base 10) in base 11?\nAnswer: 8a1640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10390871?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2956*n**3 - 2*n + 0*n**2 + n**2 + 2954*n**3 - 1 + 97*n in the form c*n**2 + g*n + h + o*n**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -233700 to the nearest 10000.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1576?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9089\/5 - 1818. Which is the closest to 0.1? (a) 16 (b) -3 (c) 4 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-924 + 2479 - 352 + 2527)*(s + s + 0*s) in the form j*s + z and give j.\nAnswer: 7460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 0 + (2 - -1) + -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of a**7\/5040 + a**6\/360 + a**5\/80 + 13*a**4\/8 - 47*a**2. Let j(s) be the second derivative of t(s). Solve j(o) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 46\/5 - 628\/65. Let t = 4\/65 + v. Which is the closest to -0.33? (a) -5 (b) t (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1237278?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 19 = g + 6, -x + 5*g = 15. What is the derivative of 16*c**4 - 11 + x + 0*c**4 wrt c?\nAnswer: 64*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 0*s + f + 25, -s + 5*f - 7 = 0. Let v be 2\/12 - 0\/s. What is the nearest to -7 in -1, v, 4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-129)\/43*3\/27.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/2619644 and 35\/38.\nAnswer: 2619644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 1\/104117 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*h - 11. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9802800731 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2024 - 2012. Solve 2*o + 3*g = 6*g - n, 4*o + 4 = -4*g for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 20138502, 20138503, 20138504, 20138505?\n\"Answer: q + 20138501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 686 and 7543599.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -4*a**2 + a - 1. Let t be g(1). Let m be 1*-2 - (t - -2 - 0). Suppose m = 4*l - 1538 + 9818. What is l rounded to the nearest one hundred?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -3*h + 7, 17 + 3 = 2*v - 4*h. Let i = 6 + -2. Calculate the highest common divisor of i and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12105 and 900.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i**4 + i**4 + 2*i**4)*(-3*i + 2*i + 4*i) + (1 - 1 - i**3)*(-2*i**2 - 3*i**2 + 2*i**2).\nAnswer: -3*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - 11. Suppose 3*c = -4*h + 3 + 46, 5*c = -2*h + 77. Calculate the remainder when c is divided by v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dk when two letters picked without replacement from {u: 7, d: 3, k: 3}.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 5*h**2 - 2. Let l be j(-1). Suppose -2*t + 168 = 2*f, l*t + 51 = -2*f + 300. Calculate the remainder when t is divided by 41.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*c = -206*c + 258 + 1272 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 371051 is divided by 255.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-66 - 90 - 105 - 52)*(-9*o + 2 - 5*o + 17*o) to a*o + s and give a.\nAnswer: -939","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2\/11, 15\/2, -1207, 2\/3, -1\/4, 0?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - -1) + (2 - 6\/3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eighteen fifths of a hour?\nAnswer: 216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36 - 16. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2246 + -191?\nAnswer: -23d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 259a11 (base 11) to base 6\nAnswer: 12431124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7906 and 520992.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -96 - -147 - (-4 + 29).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k\/((k\/(k\/k**4*k))\/k*k))\/k))\/((k\/((k*k\/(k**(-3\/8)\/k))\/k))\/k)*(k\/(k*k**(2\/5)*k))**25 assuming k is positive.\nAnswer: k**(-229\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -60, 5, -101 in descending order.\nAnswer: 5, -60, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of -11*q**4\/24 - q**3 + 210*q**2 + q. Calculate l(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 32751389*x**2 - 4*x + 374004549 wrt x?\nAnswer: 65502778*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qlqlllqwjlqq. Give prob of sequence lqjq.\nAnswer: 5\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 PM and 6:46 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -88019, -88021, -88023, -88025, -88027?\nAnswer: -88029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 2*z + 2171 = 0, u + 2*z + 3*z = 425. Let k = u + -142. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of n**6\/240 + n**5\/24 - 9*n**4\/4 + 2*n. Let u(a) be the third derivative of f(a). Let q(g) = -g. Calculate q(u(j)).\nAnswer: -3*j - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -18\/7 (b) -20 (c) -2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 81528, 162816, 243868, 324684, 405264, 485608?\n\"Answer: -118*z**2 + 81642*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -21*m**2\/8 - 382623*m\/8 + 5940747\/4 = 0?\nAnswer: -127758\/7, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -16*b - 6. Let i be p(7). Let a = i - -306. Is 47 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(220)\/((sqrt(1440) - sqrt(40) - sqrt(40))\/sqrt(8) - sqrt(5) - sqrt(5)))**2.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 680 is divided by 38?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - -11. Let q = k + -2. Suppose 3*c + 9 - q = 0. Solve -c*g = -g - 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-7)*(177\/118 - 2\/4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3507\/11854, -2, -2\/9 in descending order.\nAnswer: 3507\/11854, -2\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 6*y - 15 = 0. Suppose y*z = -15, 0*z - 4*z - 25 = 5*t. What is the least common multiple of 3 and ((6 - 3) + -11)\/t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 4:18 AM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -171 + 197. Let r = -23 + 62. Calculate the highest common divisor of u and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 511 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-3427)\/161 + 21)\/(10\/(-84))\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 855*g**3*h**3*x + g**2*h**3 - 4*g**2*x + g*h**2*x - 14*h wrt g.\nAnswer: 5130*h**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.91 - 117699727993?\nAnswer: -117699727965.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 1. Let s be (10\/(-8)*24\/(-60))\/((-23)\/(-138)). Solve -p + o - s = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-5))\/(d**(2\/27)\/d*d)*(d*d**(2\/7))**12)\/(d**(2\/11)*d*d**(-1\/9)*((((d*d\/d**(-1))\/d)\/d*d)\/d)**8) assuming d is positive.\nAnswer: d**(25538\/2079)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 5*c + 4351 - 455, 0 = -5*f - 4*c + 4829. What are the prime factors of f?\nAnswer: 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, k: 3, g: 3, t: 1, w: 2, f: 1}. Give prob of picking 2 r and 1 t.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -105*h + 21. Let v(j) = 26*j - 5. What is 5*d(b) + 21*v(b)?\nAnswer: 21*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*u + 2*s = 45*u - 10, -2*s - 10 = 3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 17*f + 447. Let i be l(-26). Find the third derivative of -2*h**2 + 7*h**2 + 217*h**i - 4*h**2 + 72*h**5 + 9 wrt h.\nAnswer: 17340*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 2\/19, 0.2, -99\/5, 2, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 288608 - 0?\nAnswer: 288608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-187)\/132)\/17)\/((-2)\/(-20))?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*h - 5*a = 88*h + 21, 14 = 2*h - 3*a for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q - 2. Let h(d) = -3*d - 1. Let t(m) = -3*h(m) + 2*z(m). Let i be t(1). Solve 0 = 4*b - 2*y + 18, -6 = i*y - 2 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.313172*23.9\nAnswer: -7.4848108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - x - 1. Let d be k(2). Suppose -d - 11 = -3*o. Solve o*z = 1 + 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (5 + -4 + 2) - -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 296 and 132.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z + 6. Let f be v(6). Let q = -1089 + 1016. Is 22 a factor of (-16)\/f*(1 + q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/3)\/(-10*16\/2880).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -4. Let q be 1 - 2\/x - 2. Factor -u**2 + q - 3*u**3 + 2*u**3 + 1 + u.\nAnswer: -(u - 1)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 829*c**5 + 661*c wrt c.\nAnswer: 16580*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100201212100021 - -100?\nAnswer: -100201212022221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7971357 to the power of 1\/2, to the nearest integer?\nAnswer: 2823","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 7*x**2 + 9*x. Suppose 2*o = 3*r + 27, -354*o + 13 = -356*o - 5*r. What is v(o)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5576432.\nAnswer: 2, 348527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-3) - 14\/(-42)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 6 = -9. Suppose k*c - 3*c - 5*d - 80 = 0, -3*d + 138 = 5*c. Calculate the remainder when c is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000021379159016 to seven decimal places.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1019 greater than 1017?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-64 + 154 + 317 + 24)*(1 - 3*y - 1) in the form q*y + a and give q.\nAnswer: -1293","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 644858, 644754, 644652, 644552, 644454, 644358?\n\"Answer: h**2 - 107*h + 644964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 8*d**4 + 2568*d**3 - 15750*d**2 - 17672*d - 4578 = 0.\nAnswer: -327, -1\/2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16045 is divided by 137?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (0 - 4 - -6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4897 = 4*m - 19481, 2*l + 10939 = 3*m. What are the prime factors of m?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -230 + 219 - ((25 - -7) + 4)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, 1\/97, -0.1, -1, 2\/4745.\nAnswer: -1, -0.1, -0.05, 2\/4745, 1\/97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gzoxomzs. Give prob of sequence ogxz.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ejhiiahhihajieaihj. Give prob of sequence ja.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + (15 - 16) - -15?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(-5)\/75*15.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 8*l**2 + 125*l - 128. Determine x(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/27 and 49\/3.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -989 = -3*q + n, 6*q = q - n + 1651. Suppose w - 50 = -20. What is the greatest common divisor of q and w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of r**5\/60 - r**3\/3 - 4*r**2. Let o be y(-2). Let l = -5 - -4.5. Which is the biggest value? (a) 0 (b) l (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11919322 is divided by 70?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 106568.\nAnswer: 959112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -289787\/437 or -662?\nAnswer: -289787\/437","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1593260687 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -45, 379, 2551, -2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/4))**(-2\/3))**(-2\/13)*(((n**(1\/3)\/n)\/n)\/n)**(-4\/11)*n**(-8)\/(n\/(n*n\/n**5*n)) assuming n is positive.\nAnswer: n**(-1438\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 7680 divided by 2560\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - 12. Let x be q(0). Let o be 3\/x - 1\/(-20). What is the closest to 1 in o, -5, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147283.\nAnswer: 147283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1710148, 6840589, 15391310, 27362299, 42753544?\n\"Answer: -2*b**3 + 1710152*b**2 - b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a - 28 - 98 = 0. Let x be a\/(-2)*((-16)\/4 - -8). What is the highest common factor of x and 144?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 36 = -c, -5*c + 5*u = -4*c + 4. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 > -2035\/43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 48*d = 50*d - 6, 0 = -4*d + 12 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1163049.3ms in days?\nAnswer: 0.01346121875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7528304 and 2800.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-16 - (-35)\/5)*3\/(-27). Solve -4*m + 2 = 3*t, -2*m - 2*t + i = m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5808 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 17*p**2 - p + 3. Let c(x) = -9*x**2 - 2. Let h(b) = -7*c(b) - 4*i(b). Let t be 1 + -1 - (0 - -4). Let l(s) = -s**2 + s. What is t*l(f) + h(f)?\nAnswer: -f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2c6 + 40b?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of 0*y**2 - 258*y + 0*y**3 - 17\/6*y**4 + 19\/4*y**5 + 0. Find the third derivative of w(s) wrt s.\nAnswer: 570","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 103 + -82. What is the remainder when 101 is divided by o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29859.3 - 10\nAnswer: 29849.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 59, 92?\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -795 = -5*s - 5*z, -2*s + 2*z + 457 = s. Let d = 165 + -161. Put -4, d, s in decreasing order.\nAnswer: s, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 982*k + 3. Let x be a(23). Suppose -6*h + 9811 = -x. Factor -12 + 405*s**5 - 3396*s**2 + h*s**3 - 2700*s**4 - 308 + 1629*s - 1404*s**2 + 371*s.\nAnswer: 5*(s - 4)*(3*s - 2)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f + 0*f - 3*f. Let l(y) = -y + 2. Suppose -v - 1 = -3. Let c(r) = 3*r - 5. Let n(b) = v*c(b) + 5*l(b). What is o(n(h))?\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-3*(1*(-3 + sqrt(80)) + (-2 + sqrt(80))*2 + sqrt(80))**2*-6.\nAnswer: -71766 + 12096*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4512179?\nAnswer: 7, 644597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(225\/60)*(-5)\/(-10). Let s = -3.93 - 0.07. What is the closest to y in 48, 1\/6, s?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 180 divided by 4.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*d = -64*d + 5*o + 3, -5*o = -2*d + 9 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1506, -3016, -4526, -6036?\nAnswer: -7546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2558131?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, w: 5, j: 3, l: 11}. Give prob of sequence ljll.\nAnswer: 33\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**5 - 5295*x**4 + 26409*x**3 - 15825*x**2 - 26412*x + 21120 = 0.\nAnswer: -1, 1, 4, 1760","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 + -6. Is j smaller than 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 - 45*w + 249. Let o be j(6). Let r(n) = -2*n + n**2 - 6*n**3 + 5*n - 3*n**2. Let k be r(-3). What is the highest common divisor of k and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -7*g**2 - g + 2. Let n(z) = -29*z**3 + 2*z**2 - 4*z - 2. Let b(j) = n(j) + t(j). Let m(x) = -102*x**3 - 17*x**2 - 17*x. Determine 17*b(p) - 5*m(p).\nAnswer: 17*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11223822, 22447647, 33671474, 44895303?\nAnswer: 56119134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0675 and -16671396.\nAnswer: -16671396.0675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 14*a - 9*a - 5*p, -3*p - 1 = a. Let o(z) be the second derivative of -11*z**3\/6 - 5*z**2 + 2*z. Is o(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -v**3\/3 - 3*v**2\/2 - 2*v - 5. Solve z(s) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 131 + -131. Suppose z = -6*q + 22*q - 544. Let d(b) = b**3 + 5*b**2 + b - 3. Calculate the remainder when q is divided by d(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 4*o - 3*t, 1717 = 3*t + 1708 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12960 and 45693.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 0.2. Let d = -4.82 - -1.82. Let s = -4.3 - -0.3. What is the nearest to -1\/3 in d, s, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1569 * 29.522.\nAnswer: 46320.018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*(v*v**(2\/19))\/v*v**(-3\/8)*v*v**(2\/9)*v**5*(v**(2\/3)*v*v*v**(-2\/7))\/(v\/v**0)**(2\/57) assuming v is positive.\nAnswer: v**(89041\/9576)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 459?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 54492 and 481346?\nAnswer: 2888076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*m**3 + 14*m**3 + 14*m**3 + 2*m**4 - 3*m as k + x*m**4 + d*m**2 + j*m**3 + y*m and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -5*q + 26, -3*q - 20 = -6*q + 5*k for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -22*o + 129. Let j be b(5). Find the first derivative of -72*n**3 - 24*n**2 + 43*n**2 - j*n**2 + 52 wrt n.\nAnswer: -216*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -551 - -395?\nAnswer: -167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2869831, -5739677, -8609533, -11479399, -14349275, -17219161, -20089057?\n\"Answer: -5*v**2 - 2869831*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s + 20*s = -10, -4*f + 5*s + 804734 = 0. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/(-18)*(-21732)\/(-9055).\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1035085513?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2215493?\nAnswer: 7, 316499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 340 is divided by 336?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 7405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -1 + (-1836 - -1945)?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211120 - 2000212000212?\nAnswer: -2000211012022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1530 and 591930.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*p = -25*p - 48. Which is the fourth smallest value? (a) -5\/3 (b) -5 (c) -3 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 32 = -10. Which is bigger: o or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -28*r**2. Let w(c) = -12*c. What is j(w(u))?\nAnswer: -4032*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -k**5\/3 + k**4 + 17*k**3\/3 + 3*k**2 - 16*k\/3 - 4 = 0?\nAnswer: -2, -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 553, 0, 2\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 375, 382, 399, 432, 487, 570?\n\"Answer: u**3 - u**2 + 3*u + 372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -108, -128, -148, -168, -188?\nAnswer: -208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18912 + -18987. Which is the closest to -2\/5? (a) 2\/5 (b) -0.1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*s + 5*s + 6*s)*(0 - 1 - 1)*(-s + s - 3*s**2) to the form m*s**3 + z + t*s**2 + w*s and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (11*p - 6*p + 3*p)*(0 + 0 + p) + (0 - 2*p**2 + 0)*(-6 + 4 + 0) as i*p + m + c*p**2 and give c.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -22 - 4164?\nAnswer: -4186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 7*-0.48\nAnswer: -3.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 180*g**2 + 183*g**2 - 536*g**2 + g**3 + 173*g**2.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2029056, 2029057, 2029058, 2029059?\nAnswer: 2029060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4692634?\nAnswer: 2, 541, 4337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 3*c - 11 - 4, -2*w = -3*c - 5. Suppose -w*m - 93 - 19 = -5*h, 3*h = -m + 57. What is the least common multiple of 6 and h?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 28*j**2 - 2*j - 9*j**2 + 0*j + 45 wrt j?\nAnswer: 38*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 15 - 20 + 7 - 3*y. Let d(b) be the second derivative of -b**3\/3 + b**2 + 2*b. Give 5*d(m) - 4*s(m).\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 921 + -879 - (5 + 3 - -5).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6111 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -538934\nAnswer: -5\/538934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 17036?\nAnswer: 1\/4259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i**(-1)*i*i**(2\/9))\/(i**(-1)\/(i*i**(3\/2)\/i)))\/((i**(-2\/15)*i)\/i*i*(i\/(i\/i**(-2\/3))*i)\/i)**(-19) assuming i is positive.\nAnswer: i**(767\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 382?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-160)*-10)\/(6\/(-4)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/825102 and -47\/690.\nAnswer: 4125510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29415 is divided by 3212?\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 850 + -844. Let u(b) = -7*b**3 - 7*b + 7. Let k(p) = 6*p**3 + 6*p - 6. Calculate w*k(g) + 5*u(g).\nAnswer: g**3 + g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 2 + 9 = -3*v, v = 5*w - 11 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -26413491, -52826983, -79240475?\n\"Answer: -26413492*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j, 1 f, and 1 n when four letters picked without replacement from {n: 1, f: 2, c: 1, t: 2, j: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -26*v + 119. Determine o(6).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1629?\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/(-12)*90\/(-375)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3439749550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 3*t = 6*a - 36, -2*a + 28 = -t. Suppose -15878000 = a*q + q. What is q rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(133)\/(sqrt(7)*2) + (2*sqrt(114))\/sqrt(6).\nAnswer: 5*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p**2 + p. Let g(w) = 99*w**2 - 22*w - 3. Let j(k) = 6*f(k) + g(k). What is the second derivative of j(v) wrt v?\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of 0*c - 2*c**2 + 0*c**3 + 0 - 1\/60*c**6 + 0*c**4 - 1\/15*c**5. What is the third derivative of x(t) wrt t?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65165*r - 3*r**2 + 65165*r.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 334292 - 324620 = -104*j for j.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 <= 2.362?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8414, 36471, 83234, 148703, 232878?\nAnswer: 335759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103210 - 123002330?\nAnswer: -123112200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 66814798 to the nearest integer?\nAnswer: 8174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of -2*x**2 + 0*x**3 + 0 + 1\/15*x**5 + 0*x + 1\/6*x**4. What is the second derivative of a(v) wrt v?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8194172 + 172962582479\/21108. Find the common denominator of u and -43\/12.\nAnswer: 21108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, l: 5, j: 2, k: 6, x: 1}. What is prob of sequence fxk?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 63 + -44. Let k = m + -11. 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 240 minutes after 5:47 AM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -520, -509, -484, -439, -368, -265, -124, 61?\n\"Answer: l**3 + l**2 + l - 523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -5*a**3 - a**2 - a - 2. Let h be f(-2). What is the highest common divisor of h and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 155\/(-165) + (-15)\/(-55).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -41 + (40 - 14) + 32.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-10)*15*11\/198.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 115 - 65. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (9 + 2 - 3 - 8)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((-1035)\/(-25))\/3 + 3\/15 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 - x. Let m(r) = -19*r + 23. Let n be m(0). Suppose -2*j = -y, -5*j = -n*y + 20*y - 1. Calculate s(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 - 33 = -4*a. Let d(g) = -3*g**3 + 2*g**2. Let l be d(-1). Suppose -l*k + a = -12. Solve -16 = 2*r - k for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/441 and 47\/186739?\nAnswer: 1680651","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (96\/42 + -2)*(-720)\/144 + 1 + 1\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/8076 and 52\/7.\nAnswer: 56532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 0.5, -0.01866, -0.2, 2\/11 in descending order.\nAnswer: 0.5, 1\/5, 2\/11, -0.01866, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -9*v + 1. Let f(o) = 16*o**3 - o**2 + 3*o - 5. Let l be f(2). Let w = -101 + l. Let x be 8\/(-6) + 2*4\/w. What is t(x)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -261 - -445. Suppose -178*i = -u*i - 12. Let k(p) = p + 1. Let a(y) = -y + 2. What is i*k(w) + a(w)?\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3*l**2 + 12*l + 1. What are the prime factors of j(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -4*v**2\/3 - 4187872*v\/3 - 247070524\/3 = 0.\nAnswer: -1046909, -59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 321764627 rounded to the nearest 1000000?\nAnswer: 322000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -8.7 and -434.\nAnswer: -442.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -969, -3826, -8589, -15258, -23833?\n\"Answer: -953*i**2 + 2*i - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 7. Let w(k) = -k**3 - k - 5. Suppose -4*z - 5 = 5*j - 5*z, j = -2*z + 10. Let t be w(j). Which is the third biggest value? (a) s (b) t (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 + 68*k**2 - 51*k**2 + 4 + 7 + 6 - 16*k**2 - 17*k. Give f(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (7 - 0 - (30 - 6))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 535, 2280, 5177, 9214, 14379, 20660, 28045, 36522?\nAnswer: 46079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 756245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36.442 + -36.22. Round u to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -154*s**2 - 2931*s - 21. Determine p(-19).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 10:03 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.411 + -265.\nAnswer: -264.589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.263 * -259.\nAnswer: -845.117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 16*u = 2*u + 150 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (-99)\/(-15)) + 2.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14552\/3 + 5037. Let m = -8147\/42 + d. What is the common denominator of m and (-3 + 3184\/448)\/((-4)\/8 - -1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-12)*6*(-64)\/24. Suppose 0 = -4*m - 4*p + 16, -s*m + 0*m = -2*p - 16. Solve 0 = k + 3*k - m*i + 12, 3*i - 5 = -k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 48\/7 (b) 2\/7 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -97*a**2. Let j(k) = -14*k - 3. Calculate d(j(p)).\nAnswer: -19012*p**2 - 8148*p - 873","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-7)\/v*v*v)\/(v*v*v*v*v**4))\/(v**(1\/5)\/(v*(v**(2\/7)\/v*v)\/v)) assuming v is positive.\nAnswer: v**(-452\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 300 = 3*c. List the prime factors of c.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.1450596t?\nAnswer: 145059600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wtq when three letters picked without replacement from ttmtwtwwwqqqt?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2532567 to the power of 1\/3, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*i - 20 = -96 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 265 and 2279?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/200022 and 41\/4134?\nAnswer: 2600286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -508697 - -212767. What is c rounded to the nearest one thousand?\nAnswer: -296000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 1635.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 * -22\nAnswer: 0.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1933745 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 5*g = c - 945, 4*c - 2*g = 910. Is 23 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - 9*r + 99. Let v(n) = n - 1. Let h(g) = 6*v(g) + z(g). What are the prime factors of h(0)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 357.2 + -353.2. Which is the smallest value? (a) -4 (b) -0.2 (c) h (d) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4799?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10\/501 - -55768\/501. Let s = l + -111. Solve -2\/3*h**2 + 0 + s*h**3 + 1\/3*h = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*h - 250674 = 40*h - 39450. What are the prime factors of h?\nAnswer: 2, 3, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/1 + 2*1. Suppose -5*i - 3*b = s*b - 15, 4*i + b + 3 = 0. Is i\/(-8) - 556\/(-16) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2\/(-4))\/(14\/(-868)) is divided by 21?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 5:29 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -84991 at most -84993?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 574523339 a multiple of 1391?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 12) to base 2\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 3*p**2 - 112*p - 184. Let c be k(39). Let f(t) be the first derivative of 29*t**2\/2 - 26*t + 1. Is f(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 3 + (-2)\/(-1). Let a be (-43 + 3)*(-2)\/d. Let j be 3\/(-1 - -4 - 2). Solve j*c + a = 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -3*m + 28. Let p = -128 - -135. What is the highest common divisor of p and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113699 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12851424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -k - 5, 0 = -4*u - 5*k + k + 28. Let y be (-2)\/3 + 131*(-8)\/(-6). Let n be (-43)\/(-20) + y\/(-435). Which is greater: n or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -22209*g**2 + g + 19484?\nAnswer: -44418*g + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 66555749 to the power of 1\/2, to the nearest integer?\nAnswer: 8158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 + 12*s - 8. Let x be o(11). Suppose 3*a + 4*l - 165 = 0, -x*l + 0*l - 144 = -3*a. Let f = a + -7. Is 15 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14344701 - b - 14344701.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**2 - 4*g - 8. Calculate the remainder when 10 is divided by n(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of 2\/5*t**5 - 2\/3*t**3 + 0*t**2 + 0*t + 0*t**4 - 4. Find the third derivative of h(s) wrt s.\nAnswer: 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 104 and 182.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of a**4\/12 + 10*a**3\/3 + 91*a**2\/2 + 569*a. Factor h(t).\nAnswer: (t + 7)*(t + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 - 10. Suppose -5*y = 11 + i. Let d be -1 + y\/4 - 1. Let k(w) = 6*w - 2. Let a(g) = 2*g - 1. Calculate d*k(p) + 8*a(p).\nAnswer: -2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*w + 8*w**3 - 2 - w**4 - 8*w**3)*(-3*w - 2*w + 6*w).\nAnswer: -w**5 - 8*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i. Let f(q) = 11*q + 9. Let n(w) = -w - 4. Let y(k) = k + 9. Let t(c) = 5*n(c) + 2*y(c). Let g(o) = 2*f(o) + 9*t(o). Calculate g(v(a)).\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -18, -24, -28, -30, -30, -28?\n\"Answer: l**2 - 9*l - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 30*m**2 + 25*m - 25. Let s(j) = j**2 + 510 + 3*j - 511 - 2*j. Let d(n) = -o(n) + 25*s(n). Let b(f) = 4*f. What is b(d(r))?\nAnswer: -20*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least -172\/1425?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 442895?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j**2 - 11300*j + 681380 = 0. Calculate j.\nAnswer: 62, 2198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 52596 and 4581?\nAnswer: 26771364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13009547 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -68*m**2 + 62*m**2 + 8*m - 9*m**3 - 6 + 10*m**3. Suppose 0 = -b + d + 2, 5*b - 37 = -2*d - 2*d. Is 2 a factor of i(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-330)*8\/((-29)\/(2900\/(-80)))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4188 and 2094?\nAnswer: 4188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 2 = -m. Let a(w) = w**3 - w + 1. Let q(s) be the second derivative of s**5\/10 - 2*s**3\/3 + 2*s**2 + 10*s. Determine m*q(x) + 4*a(x).\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 = 4*k + 6*q + 38, 0 = 3*k + 5*q - 28 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 0. Let v = g - -9. Let n be 26\/16 + -2 + v. Which is the third biggest value? (a) -5 (b) n (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h - 3 + 0 - 4 + 0. Let p be y(-5). Let q(z) = -2*z**2 + 4*z - 1. Give q(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/3*z**4 + 104\/9*z**2 + 28\/3*z + 44\/9*z**3 + 2 = 0. What is z?\nAnswer: -3, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 209?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 1 - 2 + 0 + 0 + (-1 + 2 + 1)*(0 + 0 - 1))*(-32*v + 86*v - 23*v) to the form p*v + f and give p.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 2*g**3 - 13 + 14 - g**2. Let j(n) = -n**3 - 3*n**2 - 3*n + 3. Let d(t) = -3*a(t) + j(t). Find the second derivative of d(o) wrt o.\nAnswer: -24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3632315298.\nAnswer: 2, 3, 605385883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - t + 2)*(-10*t**4 + 1 - 649*t + 649*t).\nAnswer: 10*t**5 - t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of p**6\/30 + p**3\/3 - 25*p**2\/2 - 8*p. Find the first derivative of k(v) wrt v.\nAnswer: 4*v**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1184 + -1062 + -2 + -34.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11514866827 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -80, -251, -330, -317, -212, -15?\nAnswer: 274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 5:29 PM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15634 = 1377*x + 6398 for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1 (b) -29 (c) 2\/3 (d) 1\/12 (e) -1\/3 (f) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -85*a - 93. What is v(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 - 23*t**2 - 2 + 24*t**2 - t**3 as w + m*t**3 + s*t + n*t**2 and give w.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/27166 and -29\/232679.\nAnswer: 371821042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/7)\/((-10)\/(-7)). What is the closest to 0 in d, -4, 4\/5, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -812\/9 + 90. Let o = -1.8 - -2.5. Which is bigger: l or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a litre in millilitres?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*v**2 + 5*v**2 + 2*v**2)*(-427 + 26 - 130) in the form k + d*v + j*v**2 and give j.\nAnswer: -2655","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*f + 149*f + 3*s = 14, 5*f + s - 23 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + -9. Let q be (-2 - b)\/(-3) - -5. Let a(s) = -4 - 4 + s + q + 1. Calculate a(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.692632 - -3.7. What is k rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14 - -2 - 6\/(-6). Suppose d = -3*l + 35. Suppose 4*h + 7*c = 3*c + 7808, -l = -2*c. Is h 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 {f: 2, d: 1, l: 2, k: 1, n: 6}. What is prob of sequence fd?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 272669, 545332, 817995, 1090658?\nAnswer: 1363321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in -3, 0, -3\/7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2418 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200969 is divided by 2029?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3264 is divided by 61.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 54 - 188. Let z = c - -7. Is z a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1149*c + 759*c - 312*c + 1832*c - 229676 = 0 for c.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17941 - -807347\/45. Put x, -1\/2, 18, 2 in increasing order.\nAnswer: -1\/2, x, 2, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1159 + -1196 + 2 + 48?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.009, 4\/3 in ascending order.\nAnswer: -0.009, 4\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5780 and 272?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**2 - 1. Let p be d(-1). Suppose 0 = -5*s - b - 10 + 136, -b = -p. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/15 + (-5)\/75. Is 0.1 bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1436677 (base 9) to base 2.\nAnswer: 11000001011010111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 74*l**3 + l**2 + 3*l. What is the units digit of y(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -4. Let z = 1\/7 - 23\/14. What is the nearest to d in z, 2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 716 a factor of 22798872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**(2\/23)*r))**(-4\/3)\/(((r\/((r**18\/r)\/r))\/r)\/r)**(1\/44))**44 assuming r is positive.\nAnswer: r**(1525\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = t - 4*k - 6241, 0 = 2*t - k - 12527. Suppose 4707 = -2*x + 5*x + 3*h, 4*x - h = t. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4209 and 976?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c + 2. Let b = -12 - -17. Let o be i(b). Suppose -5*z - o = 13. Let r(h) = h**3 + 6*h**2 + 5*h + 1. Give r(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 - 6*s**2 + 2*s**2. Let q(j) be the second derivative of j**4\/6 + 3*j. What is n(q(c))?\nAnswer: -12*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12307\/1694 - 300\/121. Find the common denominator of n and -81\/5192.\nAnswer: 36344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 477\/2*18\/27 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 97 + -1. Let z = 122 - d. Let j = 32 - z. Calculate the remainder when 19 is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -3 (c) 4\/13 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 820 = -m + 6*m, 2*m - s + 328 = 0. Let r = 231 + m. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.07 + 4.17. What is the nearest to u in -2\/3, 8, -4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 772476181?\nAnswer: 772476181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (176*t - 106*t + 171*t)*(5*t - 5*t - t**2).\nAnswer: -241*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3425.348400216 - 3425.382. Let x = -0.0336 - k. What is x rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -419*m - 7319 - 8742 = 6426 + 17737 for m.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 56.842 + -57. Let u = 0.01 - m. Let d = u - -0.067. What is d rounded to 2 dps?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*v**2 - 127*v**3 - 13*v**4 + 130*v**3 - v + 11*v**4 to r*v**4 + m*v**3 + j*v + k + l*v**2 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 585345531?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 59985\/71 or 844?\nAnswer: 844","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35745061\/1379 + -25921. Are j and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.1 - 0.1. Let i = -1.9 + o. Which is greater: 0.05 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3001554 + 3?\nAnswer: 3002001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71434 is divided by 8840?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 78\/24*(-204)\/1326?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15520*n + 7790*n + 7742*n - 4 + 1 + 3.\nAnswer: 12*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**3\/19 + 31200*g**2\/19 + 155561850*g\/19 + 241792654500\/19 = 0. What is g?\nAnswer: -6255, -3090","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -525*a + 265*a + 245*a. Let w(g) = 4*g. Determine w(r(d)).\nAnswer: -60*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/3872736 and 28\/1538721?\nAnswer: 344673504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 291852 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 9*c = -110. Let w = 24 - c. Solve -1 = -w*x + x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, -27, -6, 33, 96, 189, 318, 489?\nAnswer: 708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26383 divided by 26.\nAnswer: 26383\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 + 5390\/(-343) + 43?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 0)*(4 + 1 + 2 - 4 + 4 - 1 + (0 + 0 + 1)*(3 + 1 - 3) - 3 + 3 + 1 - 1 - 3 - 2)*(-2*o + 2*o + 2*o).\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 10 = 5*k, 3*x + 4*k = 4*x - 14. Let d be 63\/(-84) - 2\/8. Which is the third smallest value? (a) -5 (b) d (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -333913 divided by 71\nAnswer: -4703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1.3 (b) -6 (c) 6 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 49 - 48. Which is the closest to 0? (a) 2 (b) w (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 367 + -262. Let s be (-7)\/15 - (-14)\/p. Let f be 8\/(-22)*1\/2. Which is the nearest to s? (a) f (b) -3 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**3 + 3*k**3 + k**3)*(1 + k**2 - 12*k + 12*k).\nAnswer: 2*k**5 + 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/67, 4, 2\/11 in increasing order.\nAnswer: 2\/67, 2\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 - 3 + (3 - 2 + 1 + (1 - 5 + 2)*(2 - 2 + 2) - 8 + 3 + 3 + 4 - 6 + 0 - 1 - 1 - 3)*(0 - 3 + 1))*(-4*h + 0*h - h) as i + y*h and give y.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -t - 0*t. Suppose 0 = 2*g - 0*g + 2*u - 124, 2*g - 5*u = 145. Let r = 60 - g. Which is smaller: r or t?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00096864471 rounded to six decimal places?\nAnswer: 0.000969","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -0.5, 1\/25, -1 in descending order.\nAnswer: 1\/25, -1\/3, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that y**3\/4 - 489805*y**2\/4 + 979598*y - 1959188 = 0.\nAnswer: 4, 489797","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2*x = 192, h + 3*h = -x + 375. Calculate the highest common divisor of h and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 - 28*m**2 + 93*m + 27. What is n(24)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 299603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 187 and 0.0123816.\nAnswer: 187.0123816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -1.3585?\nAnswer: -1.3585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8227366508.\nAnswer: 2, 313, 881, 7459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -361, -363, -365, -367?\n\"Answer: -2*z - 359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49, -174, -395, -724, -1173?\nAnswer: -1754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 142 - 92. Suppose h*v = 52*v - 54. Suppose v = -2*x + 55. What is the highest common factor of x and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.61 + 0.21. What is the biggest value in 2\/17, g, -2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 4*o + 3*x = -4*o + 67, 17*x = 17*x + 9*x - 216 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 300749, 601052, 901357, 1201664, 1501973, 1802284?\nAnswer: 2102597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 41*q + 423 = 23. Let f be 74\/3 - (1 + -3). Let b = 27 - f. Which is smaller: b or q?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, v: 2, c: 2, i: 4, s: 2, u: 4}. Give prob of sequence isku.\nAnswer: 4\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + 16*y - 56. Calculate n(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -106, 0.076, 0.15?\nAnswer: 0.076","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2195 and 7405?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 226618?\nAnswer: 2, 7, 16187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 12 = 2*v. Suppose t + 3*u - 13 = v*u, -2*u - 13 = -5*t. Let p be (-6)\/7 + 16 + -15. Which is the closest to t? (a) 0.3 (b) 1\/8 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 2*z**2 + 9*z - 16. Let b be l(2). Suppose 3*r - 3132 = -b*y, 31*y - 27*y - 6272 = -2*r. What is the thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m. Let u(k) = 230*k**2. What is z(u(f))?\nAnswer: -460*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 64647237517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 11:06 PM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - 5*s. Suppose 4*t + 20 = 4*k, -3*k - 2 = t - k. What is the remainder when 17 is divided by v(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -4*g**3 + 5*g + 4. Let x(t) = -21*t**3 + 24*t + 21. Give -11*w(m) + 2*x(m).\nAnswer: 2*m**3 - 7*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35 - 34. Let x be 1 - h\/((-25)\/(-20)). Factor 0*w**2 + 1\/5*w**3 + 0*w + x*w**4 + 0.\nAnswer: w**3*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + 12*p**2 - 26*p - 7. Let q be f(9). What is the third derivative of -43*a**q + 33*a**6 + 1134 - 1134 wrt a?\nAnswer: 3960*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**23\/(z*z**(-2\/7))*z*z*z\/(z**18*z)*z**(-2\/9))**(-13\/2) assuming z is positive.\nAnswer: z**(-2483\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, -3, -10, -17, -24?\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/2388113 and -67\/3752749.\nAnswer: 26269243","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, p: 2, n: 4, t: 6, u: 1, k: 1}. Give prob of picking 1 u and 1 p.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -122, -116, -92, -44, 34, 148, 304?\nAnswer: 508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95145 = -4*y - 2*c + 95167, 37 = 4*y + 3*c for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/((p*p**(-2\/5))\/p)))\/p**5)\/((p\/(((p\/(p\/p**(-2)*p))\/p*p)\/p)*p)\/p**(7\/3))*((p**(2\/9))**(-1\/41))**(-3) assuming p is positive.\nAnswer: p**(-5566\/615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 601 divide 341473175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3872 by 968.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, o: 2, y: 4}. Give prob of picking 2 o, 1 y, and 1 v.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 240 and 528?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.49 - 0.09. Let t = a - -4.6. Let q = -0.3 - 0.2. What is the second smallest value in 0.1, q, t?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 49 = 3*i + 5*o, 3*o + 32 = -2*i. Let j = i + 39. Is 8 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 11*g**3 + g**2 - g - 1. What is n(-1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3749 + 4174 = 57*v. Calculate the remainder when v is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*u - 13*b - 136, 0 = -662*u + 336*u + 329*u - 2*b + 74 + 47 for u.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39314476*o**2 + 0 + 3 + 11 + 39314487*o**2 - 14.\nAnswer: 11*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 546432.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*k = 31*k + 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + 0 + (-10 - 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 2*y + 4*d + 1, -5*d + 5 = 5*y. Suppose a = -y*j + 3*j + 5, -2*j + 3 = -a. Are a and -2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*d - 6*d - 125*d - 1.\nAnswer: -53*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 1\/25 (b) 2\/3 (c) -4\/5 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -8, 5624, 0, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1182998, -1182189, -1180840, -1178951, -1176522, -1173553?\nAnswer: -1170044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/4*0\/(-2). Let v be (1 - (-24)\/(-9))*-3. Let s(w) = -w + 2*w + v + 2 + w**2. What is s(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -5*o**2 + 1245*o - 50680. Calculate r(51).\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-1 - (-10)\/4). Let s be 3\/(2 - 5) + 8\/5. What is the second smallest value in 1\/4, g, s?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*l**4 - l**4 - 4*l**4 + (-2*l**2 + l - l)*(-26 + 14 + 7 - 2727*l**2 + 5) as w*l + f + i*l**3 + j*l**4 + y*l**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18048?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*i**2 - 3 - i + 3)*(0*i**2 + 0*i**2 - 2*i**2) to y*i**2 + u*i**3 + t + k*i + p*i**4 and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 537\/3 + (-4 - (-1 - 1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 10, 20, 32, 46?\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 4*s + 0*s - 5*s + 8 - 7. Let v = 4 + -3. Let g be x(v). What is g rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.5 - 0.5. Sort u, 1\/3, 0.3 in decreasing order.\nAnswer: 1\/3, 0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*u - 6. Suppose -2*l - 5*a = -10, -u*a = 4*l - a - 38. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + 6*w**2 - 9*w - 13. Let j be m(-7). Is 1\/4 >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -91764 or -91750?\nAnswer: -91750","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 2*k - 316, 4*b - 3*b + k + 85 = 0. Let u = -69 - b. Calculate the lowest common multiple of u and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3049581?\nAnswer: 3, 1016527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3 - (1 + -24) - 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/2*(-30)\/5. Let x = k + -1. Let b(l) = -4 + 0*l + 2*l + 11 + l**x - l. What is b(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3951 to the power of 1\/2, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 175994914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**1\/s*s*s*s)**(-3)*(s**1\/s)**50)\/((s\/((s**(-6)*s)\/s)*s)\/(s\/(s\/(s*s*s**1*s*s)))*(s*s**(1\/3))**2) assuming s is positive.\nAnswer: s**(-53\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + u = -12 + 5, 0 = d + 5*u + 17. Let r be (-2332)\/45 - 6\/15. Let q = r + 52. What is the closest to d in q, -0.9, 2?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(-2*t**3 - 2*t + 2*t)*(145 + 27*t - 145).\nAnswer: 108*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m - 11. Give i(-9).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, k: 1, o: 2, j: 3, n: 3}. What is prob of sequence jj?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2. Let q be w(1). Let j = -4 + 8. Calculate the greatest common factor of j and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/107576 and 97\/120.\nAnswer: 1613640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 19 + -26 + 0 + -1 + -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 + 10*j + 16. Let s be c(-7). Let i(z) = -100*z - 3. Is i(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 5*b + 15, -2*b = -7*a + 2*a + 6. Let s be (a - (-305)\/(-45)) + 4\/(-18). Let l(u) = u**2 + 7*u - 1. Calculate l(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1481 is divided by 491.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a - 5. Let n(f) be the second derivative of f**3\/3 + 2*f**2 - 116*f. Give -6*n(p) - 5*u(p).\nAnswer: -2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = b - 12. Suppose -3*j + 0*j + 21 = 0. Factor -2*y**2 - 6*y**3 - 2*y**5 + y**4 - 3 - j*y**4 + b.\nAnswer: -2*y**2*(y + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2878.\nAnswer: 2, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1776, -3584, -5400, -7230, -9080, -10956?\n\"Answer: -a**3 + 2*a**2 - 1807*a + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 2*o - 45. What is the lowest common multiple of o and 2?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6 - (-23)\/2 - (-1)\/(-2). Solve -3*z + 5*d = -0*d - x, 0 = -z - 3*d - 13 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202749947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 15 (b) 4\/27 (c) 3 (d) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3196 and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2.3 times -4\nAnswer: -9.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1179 a factor of 14115815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - 7*j**2 + j + 1. Suppose 19 - 54 = -5*f. Does 8 divide w(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -8*v - 12. Let z(x) = -7*x - 11. Give 3*m(d) - 4*z(d).\nAnswer: 4*d + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2800000 rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 126389 to the power of 1\/2, to the nearest integer?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -65502.8 + 65503.0200042. Let q = i - 0.22. What is q rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1619 times -151.213\nAnswer: -244813.847","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*y + 29*y = -88. Suppose -u + 0 = 4*v - y, 14 = -3*u + 4*v. Suppose u*l - 264 = 2*x, 2*x = -2*l + l + 117. List the prime factors of l.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/189? (a) 2.6 (b) 0.1 (c) 53\/5 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1404 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.97798 and 24.12.\nAnswer: -23.5888776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 47666837 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + 22*p**2 + 23*p + 15. Determine h(23).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 2:20 AM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 170 = -b - 160, -11 = -2*b + s for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12226270739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1293 (base 11) to base 8\nAnswer: 3213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((1*sqrt(396) - sqrt(396)) + 1 + sqrt(396))**2*2.\nAnswer: 48*sqrt(11) + 1588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**0*t)\/(t**2*t)*(t**(-1))**(-2)*(t**(-8)\/(t\/(t**(3\/2)\/t)))**(2\/15) assuming t is positive.\nAnswer: t**(-2\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22 and 2132603?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -15*j**2 + 5*j + 3. Let b(t) = -23*t**2 + 7*t + 4. Calculate -5*b(o) + 7*m(o).\nAnswer: 10*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-4)*(0 - 2). Suppose 5*y + 5*d + 16 = 2*y, 0 = b*y - 4*d + 25. Let p = y - -6. Is -2\/3 less than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/11, 1\/2, 3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - 3*t + 1. Let s(b) = b**2 - 4*b + 1. Let u(a) = 3*k(a) - 2*s(a). Let v(l) = -20*l**2 - 5*l - 11. Let i(p) = 2*u(p) - v(p). Is i(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) -2\/5 (b) 8 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xnnnnhhpnpnjppjp. What is prob of picking 1 h and 1 p?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -4*i**5 - 2*i**4 + 24*i**3 + 2*i**2 - 20*i = 0?\nAnswer: -5\/2, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*i + 1272006 = 28*i. Let o(s) = -27*s + 65*s + i*s**2 + 5 - 27*s. Let m be o(-5). What is m rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -128*w + 127. Let k(r) = r - 10. Let u be k(-13). Is l(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4848607 to the nearest integer?\nAnswer: 2202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - 3*f**2 + f - 2. Let y be 47\/2 + (-7)\/14. Suppose -y = -5*d - 8. Give x(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b - 1. Let l(n) = -81*n - 4. Determine -6*i(a) + 2*l(a).\nAnswer: -156*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, n: 17}. What is prob of sequence an?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -3300020102100?\nAnswer: 3300020102103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7271*y**4 + 3417*y**3 + 1669*y + 57931 wrt y?\nAnswer: 87252*y**2 + 20502*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -821 + 1627. Is 26 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 15*a**2. Let g(i) be the second derivative of -i**4\/12 - 28*i. Give x(g(s)).\nAnswer: 15*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -5332221?\nAnswer: -5332213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 1:24 PM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 47*h = -20960. Let l = h - -1026. What are the prime factors of l?\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -619\/15 - -125\/3. What is the second biggest value in 5, -12, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1483055689 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 6:00 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-70)\/(-30))\/(1\/(-3)). What are the prime factors of 6\/(a - 5)*-346?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -129 - -0.29?\nAnswer: -128.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 9) to base 10\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23569298.\nAnswer: 2, 937, 12577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 292. What are the prime factors of h?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 362.0712 milligrams to grams.\nAnswer: 0.3620712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, 8, -4403, -5, 4, -2 in descending order.\nAnswer: 8, 4, -2, -5, -35, -4403","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 903*p - 4*z - z - 87 = 906*p, 5*p - 8*z = -96 for p.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*l = 4401 + 23199. List the prime factors of l.\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110001011100111111101 + 100?\nAnswer: 110001011101000000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, e: 2, z: 4, g: 1, h: 7}. What is prob of sequence hhz?\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/6 + 0 + 57\/(-9). What are the prime factors of 42\/((-2)\/o*(-21)\/(-7))?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2 = -o + 3*a, o + 4*a = 12. Suppose v + 153 = o*v + 2*g, 5*v = -3*g + 256. Let s = -26 - -53. What is the remainder when v is divided by s?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(-3)\/(4\/4). Let l = 1 - d. Calculate the lowest common multiple of 18 and l.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 265655969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-1 + -4 + sqrt(425)*1 + -2 + 5*(sqrt(425) + sqrt(425) + 1 + sqrt(425)) + -1)*-6)**2.\nAnswer: -21120*sqrt(17) + 3917284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -4, 12, 2033, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*c**4*n + 274430*c**4 + 156092433*n wrt c.\nAnswer: -24*c**3*n + 1097720*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 121393896 and 18675984?\nAnswer: 242787792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 2 - (-3 - (4 + -3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 20 = -z. Let h be (-3 - -1)*z\/(-8). Suppose -h*x + 8 = -7. Solve x*g - 4 = g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 8:21 AM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 + -20. Let k = 487\/30 - 95\/6. Which is the closest to k? (a) -2\/7 (b) t (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28210.\nAnswer: 2, 5, 7, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, -0.05, 0.8, -11888, 3?\nAnswer: -11888","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.5353 rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(2\/5))**(-1\/13)*y\/((y\/(y*y*y**(2\/15)*y))\/y)*(y**17*y)\/y assuming y is positive.\nAnswer: y**(820\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*w**3 + 23*w**3 - 4*w**3 + 10*w**3.\nAnswer: 108*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91470548 is divided by 199.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2090 and -5?\nAnswer: 2095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -14193 (b) 3\/2 (c) 94\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 63*a + 12. What is the remainder when y(1) is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3*o**2 + 15*o - 3. Give u(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (21\/35)\/((-35)\/((-3325)\/(-209)))\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (101 - 41 - -81) + -219.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6264 and 14848?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 220*f**5 - 615*f**3 - 70706*f**2 - f wrt f.\nAnswer: 13200*f**2 - 3690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -112 + 19 + 114 + -96.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 15) in base 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/7*(-12 + 11). What is the third smallest value in -2, h, -1, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9168 - -9171. Solve 26*u + 3*p = 28*u - 8, l*p + 10 = u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/639 and 47\/4227198?\nAnswer: 12681594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23320 is divided by 319?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1946 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 6 = 4*i - 18, 0 = 3*i - 5*g - 22 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 (base 10) in base 7?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 1. Let d(b) = 11*b + 21. Let c(r) = 5*r + 10. Let p(h) = 9*c(h) - 4*d(h). Calculate 4*g(q) - p(q).\nAnswer: -q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vcg when three letters picked without replacement from agvzzcav?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-432)\/1305)\/(-4)*85\/(-68)?\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.2 + 3.6. What is the closest to 1 in 0.3, 0.1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + w - 16. Let z = 4 - w. Let v(o) = 4 - 4 - o + z. Let p(h) = 2*h. Give p(v(c)).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -298414 divided by -7853?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sntx when four letters picked without replacement from snxnxxtxsxsxxs.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 2076480*r - 2076481*r + 6229442*r - 5 - 2076473*r.\nAnswer: 8*r - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 - -6. Let j = 59 - 74. Let c = j - b. Which is greater: -36 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -681 - -195453\/287. Which is bigger: k or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 26*d + 31. Let u be q(8). Suppose 2*l - 180 = -3*j + 5*l, 3*l + u = 4*j. Is 30 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1)\/u**(7\/4))\/((u*u*((u**(-2)*u)\/u*u)\/u*u)\/(u\/u**(-1\/27)*u*u)))**31 assuming u is positive.\nAnswer: u**(-2387\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -7) + (-26 - (26 - (171 + (14 - 36)))).\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -209587406 + -2.3.\nAnswer: -209587408.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -15a - 139102?\nAnswer: -13925c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 208 - -840. Suppose t = 4*q - 2*s, 4*q - 1381 = 5*s - 321. Does 27 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -515, 5, -6, 11.\nAnswer: -515, -6, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 divided by -60?\nAnswer: -29\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(-1)\/((-1)\/(-4)). Suppose -x + 18 = r*k, 3*k + x - 14 = -0*x. Let y = -41 - -43. Solve 5*b + k*a + 27 = 0, b - 2*b + 3 = -y*a for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*3\/(-24)*((-60)\/(-72) + (-8598)\/36).\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -18*o - 238. Let s be b(-14). Calculate the highest common factor of 28 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 4*a**5 - 37*a**4 + 35*a**3 - 29*a**2 - 9. Let j(l) = 2*l**5 - 18*l**4 + 18*l**3 - 14*l**2 - 4. Let u(y) = -9*j(y) + 4*n(y). Factor u(h).\nAnswer: -2*h**2*(h - 5)*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 4*p**2 + 27. Let k be v(-5). Let c be k\/(-2) - (-1 - (6 + 3)). Let i be 6\/c - (-4)\/3. Solve 6 = -0*m - i*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*y = 5*o - 82*y + 173, 14*o - 10*o - 4*y - 44 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/7, 12.3, 1, 2, 4, -54?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -53307316 + -2?\nAnswer: -53307318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 4 = -26. Is 20 a factor of 24\/(-15)*105\/q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of 23*q**4\/24 + 4*q**2 + 12. Let o(g) be the second derivative of p(g). Let s(b) = b. Give o(s(k)).\nAnswer: 23*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 5 - -6 - 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.11+0.0048591824425\nAnswer: -0.1051408175575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 5668 = -0*a + 2*a, -2*f + 2256 = 2*a. Is f a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -7\/85912689?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 863*d**3*f*n**3 - 338*d**3*n**2 + 2*d**3*n + 2*f**2*n**3 - 126*f**2 wrt n.\nAnswer: 5178*d**3*f + 12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3906, 3891, 3842, 3741, 3570?\n\"Answer: -3*r**3 + r**2 + 3*r + 3905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 416949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 21 = 2*u. Let l(c) = 20*c - 5. Let w(m) = -7*m + 2. Let a(z) = 4*l(z) + 11*w(z). Let x(n) = -4*n - 3. Let v(j) = -5*a(j) - 4*x(j). Give v(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) -2\/3 (c) -2\/5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c + 11 = 41. Let f(g) = g**3 - g**2 - 1. Let k(r) = -6*r**3 + 16*r**2 - 10*r + 19. Let z(t) = c*f(t) + k(t). Determine z(10).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7123 and 17323?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2717 and -300.8?\nAnswer: -817273.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 9, 46, 5, 3, 838, -2 in ascending order.\nAnswer: -2, 2, 3, 5, 9, 46, 838","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 943?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*v**2 + 55*v**2 - 174*v**2 + 60*v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 1 = l, -4*l - 2*x = l - 5. What are the prime factors of -2 - (-1 - -1) - (l + -120)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-5)\/4 - -1) + 0. Let g = 1947 + -1946. Which is the closest to g? (a) 0.4 (b) 0.5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100000100011110 (base 2) in base 16?\nAnswer: -411e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 6, r: 2, f: 3, a: 5, w: 2}. Give prob of picking 2 w and 1 n.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 329782, 329778, 329774?\n\"Answer: -4*d + 329786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 614529?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -46, -67, -86?\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2781 and 4440948?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 15*k + 7*k + 5*k**2 + 10 - 8*k = 0. What is k?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 29739*g - 535297. Give n(18).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (64\/(-120))\/(3*68\/18). Which is greater: d or -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 - 6*a - 25. Let q be s(10). Suppose -q*p = -14*p - 4. Calculate the smallest common multiple of 18 and p.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + c**3 + 0*c**3 - c + 0 + 4 - 2*c**2 + 4 in the form p*c**3 + q*c + l*c**2 + h and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 52 = -4*z + 13, 51*m - 28*z + 25*z + 24 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3818922177.\nAnswer: 3, 7, 17, 10697261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*q + 22*q = 4185 - 1143 for q.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*s + 3*s + 4*b - 23, -4*s = 362*b + 162*b - 2616 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7872 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/3, 2\/5, 3\/10, -2\/29?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2830 + 15886 = 24*u. List the prime factors of u.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -315 = -17*m - 3*g, 3*m + 27978*g - 27974*g - 66 = 0 for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 137986 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 3*z**4\/5 - 102*z**3 + 21471*z**2\/5 - 293124*z\/5 + 139932 = 0.\nAnswer: 3, 26, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 230255 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 54214.57 litres?\nAnswer: 54214570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181*y + 175 - 899 = 0. What is the nearest to 0.2 in -18, y, -8, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 12 - 32*w + (-1 - 3 + 3)*(0*w - w + 2*w) + (3 + 0 - 1)*(-w + w + w))*(13*w**2 + 3*w**3 - 13*w**2).\nAnswer: -93*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 8:05 PM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20\/12 + 1\/3. Let b(o) = 8*o**3 + o**2 + 4*o - 3. Let v be b(y). Let i = v + -7. What is the greatest common divisor of i and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12.5 + 93.7. Let l = c - 106. What is the nearest to 0.2 in l, -1\/2, -2\/17?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6030 and -1534.\nAnswer: 9250020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 - 3*p - 3. Let q(n) = 4*n + 4. Let r(a) = 3*q(a) + 4*u(a). Let w(x) = -x. Determine w(r(h)).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/245000 and 25\/32.\nAnswer: 980000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - 37*l**2 - 53*l + 595. Let t be s(38). What is the highest common divisor of 2675 and t?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - y + 1391 - 1545 = 0, 0 = t + 3*y + 42 for t.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 10. Let g(p) = -8*p**2 - 175*p - 11. Let s(a) = 5*a**2 + 106*a + 5. Let c(h) = -3*g(h) - 5*s(h). Determine c(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13.5 - 64.5. Let m = -50.999711 - d. Round m to five decimal places.\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of k**3\/3 + 37*k. Let t = 9 + -10. Let y = 0 + t. What is g(y)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6095 = -199*s - 5336 + 9191 for s.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 934\/5 - 1121\/6. Let l = -1 + 1. Is k bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 2 s, and 1 r when four letters picked without replacement from srsrististsr?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/2)\/(411\/(-10686))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of -1\/6*k**3 + 0 + 1\/40*k**6 + 3\/2*k**2 - 1\/12*k**4 + 0*k**5 + k. Let u(p) be the first derivative of a(p). Determine u(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - 1 + 5)*(0 - 5 + 4) - 2 + 3 - 2 - 3 + 3 + 1 + 38 - 1 - 15)*(2 - q - 5 + 5) + 56 - 56 - 15*q.\nAnswer: -36*q + 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 3. Suppose 4*q - 5*a = -15, -3*q + 20 = -6*q - 5*a. Let o be (1\/(-2))\/((-2)\/q). Which is greater: o or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31777152?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 72660, 73081, 73776, 74745, 75988, 77505, 79296?\n\"Answer: 137*l**2 + 10*l + 72513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 0.03, 84, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5923936?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -573 greater than or equal to -574?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4226*c = -4220*c - 16344. What are the prime factors of c?\nAnswer: 2, 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -15*l + 78. Give q(8).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -881 - -902. Solve -20 = l*u - 25*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*m - 18 = 58*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/4 of a year in months?\nAnswer: 201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = -30*n + 32*n. Suppose -62 + n = 4*a. Sort -1, a, -2 in decreasing order.\nAnswer: -1, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eqsboeqqeqeqsoesqo. Give prob of picking 2 q.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(108))**2 - (sqrt(147) + 4 + sqrt(3)) - (sqrt(3) - (sqrt(3)*-1 + -5 + sqrt(3))**2 - sqrt(27)\/(sqrt(324) - sqrt(9))).\nAnswer: -44*sqrt(3)\/5 + 129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15291 and 447.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47*g + 2*g - 52*g - g**3 - g**3 - 125*g to the form v*g**2 + m*g**3 + c + z*g and give z.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/13 + 68*t\/13.\nAnswer: -2*t*(t - 34)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/160 and 139\/12?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2\/231641, -0.3 in decreasing order.\nAnswer: 3, -2\/231641, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 940500 and 235125.\nAnswer: 940500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-163072)\/(-147))\/208)\/((-2)\/(-9)*2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**29\/b)\/b)**(-50)*b*b\/b**(8\/3)*((b*b\/b**(-2\/29))\/b)\/b assuming b is positive.\nAnswer: b**(-117502\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*g - 8 = -22*g, 0 = -3*h - 5*g + 1. Let u(y) = -1. Let m(n) = n - 6. Calculate h*u(o) + m(o).\nAnswer: o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 496.6748 seconds to milliseconds.\nAnswer: 496674.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -94 - -89 - (-7 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78551591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21734, -87003, -195796, -348119, -543978?\nAnswer: -783379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, 10, 73, 216, 469, 862, 1425, 2188?\nAnswer: 3181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 178*l - 173*l. Solve l*m = -0*m + 5*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 c, 1 q, and 1 e when four letters picked without replacement from qqaqqeca.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*120\/(-270)*6\/(-16).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -894597\/4 + 223649. Let m = -3.4 - -3.57. Let v = m + 21.83. Put 2, a, v, -5\/4 in descending order.\nAnswer: v, 2, a, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95 = 5*r + g - 120, 4*g = -5*r + 25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -1002212?\nAnswer: 1002200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.10086nm in meters?\nAnswer: 0.00000006810086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*p + 30 = -61*p. Let h(z) = -14*z + 1. Let c be h(-1). Suppose 5*n + 369 = 2*f - 464, -p*n - c = 0. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 18*x + 173. Let c be (2*74\/(-8))\/(211\/(-422)). Is g(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 40 in -1, 2\/11, 3\/110383?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b**5 - 817*b**4 - 296*b**2 + 2*b + 633307 wrt b?\nAnswer: 20*b**3 - 9804*b**2 - 592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 - 10. Is 2 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 198587102?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 16*z - 204 = -14*z, 2*z - 324 = -5*q. What is the least common multiple of q and 33?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 416*o**3*y**2 + 3*o**3*y - 2013*o**3 wrt y.\nAnswer: 832*o**3*y + 3*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -33622 + 222?\nAnswer: -33400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1667809, -3335613, -5003417?\nAnswer: -6671221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2577 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 h when four letters picked without replacement from {h: 3, p: 4, l: 11}.\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 8 + 2. Let i(c) = c**3 - 3*c**2 + 3*c. Let w be i(r). What is the first derivative of -4 - 2 + 9 + 4*j**w wrt j?\nAnswer: 8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + u - 7. Let m(y) = -y**3 + y**2 + 6. Let r(o) = -o**3 + 3*o**2 + 4*o + 4. Let v be r(4). Let f(a) = v*m(a) + 3*q(a). Calculate f(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/19740 and -187\/315840.\nAnswer: 315840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 12) in base 2?\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2126*y + 3585*y + 3267*y - 1426*y - 1001*y.\nAnswer: 6551*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 15 = -2*o, -12*m + o + 10 = -14*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -157, -257, -357, -457, -557?\n\"Answer: -100*t - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ab when two letters picked without replacement from {g: 2, b: 2, a: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -7688.5 rounded to the nearest 10?\nAnswer: -7690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25*(-5)\/1875)\/(3\/(-10)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1264 is divided by 207.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2544 and 4.\nAnswer: 2544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/10*(-1)\/3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of o**5\/60 + 9*o**2. Let m(x) = -4*x**2. Give m(z(d)).\nAnswer: -4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from hfhhhhzhhhfhff.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 660.7 + -686.692. Let c = x + 26. Let g = c - -4.992. What is the third biggest value in -0.5, g, 0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*b + 44 = 27, 4*b + 40 = -2*d. Let f be (d\/12 - -2) + (-494)\/(-84). Determine k so that 0 - 10\/7*k**4 + f*k**2 + 16\/7*k - 4\/7*k**3 = 0.\nAnswer: -2, -2\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 50, 28, -30, -142, -326, -600?\n\"Answer: -3*h**3 - h + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 620213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + y**2 - 2*y - 1. Let v(i) = -3*i**3 - 5*i**2 + 11*i - 11. Determine -5*s(l) - v(l).\nAnswer: -2*l**3 - l + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -24.6 * -7\nAnswer: 172.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -173299, -173648, -174223, -175018, -176027, -177244, -178663, -180278?\nAnswer: -182083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14689, -117303, -395825, -938209, -1832409?\nAnswer: -3166379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1499 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 21\/2 of a microgram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1101 + 12?\nAnswer: -1034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of -f**3\/6 - f**2\/2 + 2*f. Let q be t(-5). What is the units digit of (q\/4)\/((-2)\/(-14))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 16 = -9. Let x = 38 - 35. Suppose -o*l + 10 = -x*l. Solve -l*y + 0*y = 25 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1992*b*v**3 + 2*b*v + 556*b - 2*v wrt v?\nAnswer: 11952*b*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a + 778 = 3498. Does 11 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 956 - 955. Suppose -2*l + 4*r = 2*l - 24, 5*l + 3*r = -2. Solve g + 3 = l*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 PM and 9:40 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4039*s + 1906*s - 2502*s + 356895 for s.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16871494 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 + 25*n**2 + 59*n - 1162. Determine s(9).\nAnswer: 665","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a gram in milligrams?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*(l*l**(2\/3)*l)\/l*l)**(-2\/3))**(-1\/12) assuming l is positive.\nAnswer: l**(11\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -913210000 rounded to the nearest 1000000?\nAnswer: -913000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -136*r + 6796. What is a(50)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2872, 2577, 2202, 1747?\n\"Answer: -40*h**2 - 175*h + 3087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 897 divided by 193\nAnswer: 897\/193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 432336\/49 or 8824?\nAnswer: 432336\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6 * -10399.68\nAnswer: -62398.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xzoz when four letters picked without replacement from xooxoozoxxxojooozoxx?\nAnswer: 7\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32 + -22. Let u = w - 9.9. Is u > 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 158225, 158185, 158147, 158111?\n\"Answer: m**2 - 43*m + 158267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 5*v - 78. Let g(q) = -v*q - 16*q + 31*q. Let u(d) = -4*d. Let b(s) = s. Let a(w) = -b(w) + u(w). Give a(g(j)).\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 47?\nAnswer: -235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2585*s - 185755 + 760187 = -7319*s for s.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1112, -1071, -1008, -923, -816, -687, -536?\n\"Answer: 11*h**2 + 8*h - 1131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21932468 and 710?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.2538913mg?\nAnswer: 0.0002538913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10131387499 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-2\/5))**(-1\/37)*(f\/((f\/((f\/(f**(-3)*f))\/f))\/f)*f*f)\/(f*f\/(f**(-6\/7)*f)) assuming f is positive.\nAnswer: f**(4049\/1295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jji when three letters picked without replacement from jjij?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from toaatynoovtonan. What is prob of picking 1 t and 2 n?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d**(-2))\/d)**12\/((d*d**(-6)*d*d)\/((d\/d**(-2\/9))\/d)) assuming d is positive.\nAnswer: d**(-79\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -319 * -4\nAnswer: 1276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 14, -0.5, 0.2, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0*(3 + 15\/(-6)). Suppose -6*z + 2*z + 5*o = 0, c = 4*z + o. Let l be 35\/28*(-2)\/5. Which is bigger: l or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of -j**3\/6 + j**2\/2 + 4*j. Let f(c) = -4*c**2 - c + 4. Let x(y) = f(y) - 4*v(y). What is the second derivative of x(p) wrt p?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 970?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 2) in base 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -12673, -12671, -12659, -12631, -12581?\n\"Answer: d**3 - d**2 - 2*d - 12671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -757796.3 to the nearest one thousand.\nAnswer: -758000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -544*22\nAnswer: -11968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 156413 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 - 2*f**2 + 102*f + 581. Calculate a(-6).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) -0.09 (c) -2\/15 (d) 0.5 (e) 1\/15 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.03 (b) -1\/6 (c) -1\/4 (d) -7.69 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/5*r**2 - 6*r - 52\/5 = 0. Calculate r.\nAnswer: -13, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**13*(d**(-20)*d*d)\/d)**(-6\/5) assuming d is positive.\nAnswer: d**(36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -409392, -818776, -1228160, -1637544?\n\"Answer: -409384*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 612.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 20*h**3 - 8*h**2 - 23*h - 11. Let f(z) = -7*z**3 + 3*z**2 + 8*z + 4. Let s(x) = 6*x**2 + 18*x + 18. Let l be s(-2). Calculate l*u(j) + 17*f(j).\nAnswer: j**3 + 3*j**2 - 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - 6*w**2 - 8*w + 9. Let o be y(7). Calculate the highest common factor of 10 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/12)\/((-3)\/45). Which is the second biggest value? (a) r (b) 1\/2 (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31455 (base 7) in base 2?\nAnswer: 1111001100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3496 = -134*j - 121*j - 182*j for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/3 (b) -0.5 (c) -5 (d) 0.2 (e) 75.7816\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of -a**3\/3 + 1221. Let b(t) = -4*t**2 - 2 + 14*t**2 + 2 - 1. Give b(w(z)).\nAnswer: 10*z**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -402066 + 5?\nAnswer: -402061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3*b = -10. Suppose 2*k + 3*j = 82, -b*k + 96 = -j - 75. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = d + 4*m + 74, -5*d - 198*m - 65 = -194*m for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 34*r**2 - 239*r + 29. What is w(-40)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + b + 22 = 0. Suppose 0 = 5*i - 20, x - 52 = 5*i - 17. Suppose -68*z + x*z = -1144. What is the greatest common factor of b and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 51.4 - 51. Sort h, 2\/11, -14 in ascending order.\nAnswer: -14, 2\/11, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 81195292*c**2*m*w**2 - 3*c*m*w + 2*c*w**2 - 5*c - 3*m*w**2 - 12*m + 645*w**2 wrt c?\nAnswer: 162390584*m*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12203 - -11?\nAnswer: -12132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 c when two letters picked without replacement from {d: 2, s: 1, c: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 1:14 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**14)**15 assuming t is positive.\nAnswer: t**210","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/7)\/((-53355)\/8839145).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 4*q - 50 = 0, -3*q - 30 = j - 4*j. What is the units digit of 140\/j + 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1846825711 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -2*v + 54, -4*v - 22*q + 24*q + 66 = 0. What is the greatest common factor of v and 43303?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -132 - -132. Let c be j - 0 - -1*(0 - -1). Solve -c = v - 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(((-1976)\/(-285))\/13).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 401 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*m**3\/7 - 4941*m**2\/7 + 370215*m - 60079425 = 0. Calculate m.\nAnswer: 317, 665","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**3 - r + 4. Let m(v) = v**3 - v + 3. Suppose 5*j + 2*u - 21 = 0, 12 = -2*j + 4*j + 2*u. Let w be (-6)\/((6 + 0)\/j). Give w*g(i) + 4*m(i).\nAnswer: -2*i**3 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/6703587 and 71\/5400.\nAnswer: 1340717400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*u + 6456 = 107*u. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*p**5 + 0*p**3 - 6*p**4 + 2 - 4*p**3 + 8*p**5 + 0*p**4 + 6*p + 4*p**2.\nAnswer: -2*(p - 1)*(p + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + a**4 + 8*a**2 - 25*a**2 - 2*a + 8*a**3 - 3*a**4 + 14*a**2 + 4*a to s*a**2 + v*a + p + x*a**3 + t*a**4 and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -468 + 471. Which is the second biggest value? (a) -14 (b) z (c) -0.4 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1622880316 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -791c (base 13) in base 16?\nAnswer: -421d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -9. Suppose 8*y + 48 = c*j + 3*y, 5*j = -4*y + 153. Suppose 3*b - 3*d = -0 - 3, -5*d + j = b. Solve -5*r = 2*o - 18, o - b*r + 4 + 0 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -4*u**2 + 516*u + 1044. Calculate v(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 487.954 (b) 5 (c) -7 (d) -4\/3 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4786.\nAnswer: 2, 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 3462.\nAnswer: 5\/3462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2 - 460860*d - 921712.\nAnswer: -2*(d + 2)*(d + 230428)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.823 - 0.177. Which is the closest to g? (a) -3\/7 (b) 2 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*i - 44 = 24. Sort 51, 3, i, 7.\nAnswer: i, 3, 7, 51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 6183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of -o**7\/280 - o**6\/24 + 3*o**5\/20 + 2*o**3\/3 + 11*o**2. Let x(c) be the first derivative of g(c). Factor x(m).\nAnswer: -3*m*(m - 1)*(m + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -96 + 79 + (-20)\/(-1). Suppose 4*u + t - 27 = 0, 4*t + 52 - 13 = 5*u. Solve 2*h - j + u = 0, -5*h - v*j - 18 - 16 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 289 is divided by 81.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**(19\/2))\/a)\/(a*a*a\/a**(9\/8)*a)*a**(1\/4)*a**(6\/23)\/a*a)**20 assuming a is positive.\nAnswer: a**(-10915\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18.4 - -23. Let c = f - 0.6. Let i = 1 + c. Sort 1, i, -2 in ascending order.\nAnswer: -2, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 6:18 AM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 14*f - 98. Let d be v(8). Calculate the greatest common factor of d and 189.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**4\/17 + 38*z**3\/17 - 122*z**2\/17 + 18*z\/17 + 180\/17 = 0. Calculate z.\nAnswer: -1, 2, 3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 0*x = -128. Let z(l) = -l**3 - 17*l**2 - 62*l - 122. Let s be z(-13). What is the highest common divisor of x and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (64\/(-6))\/(416\/(-31824)*204)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 150934?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.79 + 2.79. Let k be -3 + 7 - (-4)\/(-8)*0. Suppose -5*n + 5*h + 11 = -n, -k*h = n + 13. Which is the closest to t? (a) n (b) 2\/27 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 divided by 312.\nAnswer: 35\/312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 79635.23mg?\nAnswer: 79635230000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 6, t: 4, u: 3, v: 2, c: 2}. Give prob of sequence tccu.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 8, 1219 = 2*b - t - 1927. Suppose -5*o = -0*o - b. Suppose 0 = -2*w, 3*c + o = 8*c - w. Calculate the greatest common divisor of c and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1423261 to the power of 1\/2, to the nearest integer?\nAnswer: 1193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29154 and 15738?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -42*x**2 + 475*x + 361. Let p be d(12). Suppose 0*v + 20 = -4*v. Sort p, 0, -2, v in descending order.\nAnswer: p, 0, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 83, 84, 83, 80, 75, 68?\n\"Answer: -z**2 + 4*z + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 311 and 32?\nAnswer: 9952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -439.012 to the nearest ten.\nAnswer: -440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 383*s - 387*s + 5*w - 40 = 0, 5*s = -4*w - 9 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(405) + -3*sqrt(405) + 3.\nAnswer: -18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -208 + 207.999883. What is n rounded to five dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4525019?\nAnswer: 43, 47, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z - 1. Let d(k) = -11*k - 4. Calculate d(f) - 6*v(f).\nAnswer: -5*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 9425\/6243?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 13*c - 5. Let i(b) = 6*b - 3. Suppose 7*z - 329 = -31*z - 9*z. Calculate z*i(a) - 4*p(a).\nAnswer: -10*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-0.2.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-3))\/((-836)\/8)*473\/(-43)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -4*s - 30. Let n = -30 - -20. Let w be k(n). Suppose 60 = w*y - 7*y. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - (-2 + 0 - ((54 - 33) + -20)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7478, 15029, 22606, 30215, 37862, 45553?\n\"Answer: u**3 + 7*u**2 + 7523*u - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 3*s - 1957 = -1948, -46 = -4*n + 17*s for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from cbkplblcll.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 6:18 PM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/65, 233, -9570, 0.3?\nAnswer: -9570","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a centimeter in micrometers?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2 = -u. Suppose 3*f + 38 = 4*b + f, -4*b = 5*f - 31. Let y(m) = 3*m + 13*m**2 - 13*m + b*m. Calculate y(u).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 120*p**4 - 64*p**4 + 70*p**4 + (58*p**2 - 13*p**2 + 52*p**2)*(-2 + 1 + 3)*(0*p**2 + p**2 + 0*p**2).\nAnswer: 320*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3*g - 556238 = 1262318, 7*g = 3*r - 2727829. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, j: 2, m: 1, t: 3, q: 1, x: 7}. Give prob of sequence tjmj.\nAnswer: 1\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 12 = -j. Let b be 8 + j\/1 + -4. Suppose 0 = k - 3*x - 13, b = -2*x + 1 + 3. List the prime factors of k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - 1)*12\/12 + 3. Suppose -o*a + 3 = -81. Calculate the highest common factor of 63 and a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - 2*v**2 + 37*v + 16. Let g be t(-7). Solve -g*a = -10, -5*a + 42 = -4*f + 1 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 193*y**3 - 11922 + 11922 + 0*y + 0*y - 56*y**3.\nAnswer: 137*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 207 - 139. Let k(c) = -2*c**2 + 27*c - 21. Let g be k(12). Let x = m - g. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -334*a - 4347. Calculate s(-13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -128.6 + 128.99. Which is greater: 1\/4 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -275203, -275204, -275197, -275176, -275135, -275068, -274969, -274832?\nAnswer: -274651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/6*(5 - ((-275)\/(-22) + -6)). Let s(l) = l - 1. Let t(k) = -18*k**2 - 6*k + 6. Determine p*t(q) - 6*s(q).\nAnswer: 18*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + 12*u**2 + 10*u - 11. Let q be p(-11). Suppose q = -4*d - d + 45. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26937, -53877, -80819, -107763, -134709, -161657?\nAnswer: -188607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x. Let a(f) be the second derivative of -f**4\/6 - 19*f. What is m(a(j))?\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 minus 22646406.68?\nAnswer: -22646406.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (54\/36*(-24)\/(-70))\/(30\/140)\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 393163?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1845 at least -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -9. Let l(n) = 6*n**2 + 4. Let m be l(6). Suppose h*v = 4*a + 2*v - 220, 5*v = -4*a + m. What are the prime factors of a?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of 2*l**5\/15 - 3*l**2\/2 - 9*l + 152. Let m(q) be the second derivative of t(q). Let j(d) = 29*d**2. Determine j(m(r)).\nAnswer: 1856*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2710 + -165?\nAnswer: 2545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 625392.\nAnswer: 2, 3, 43, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 559266241?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - 5*u**2 + 5*u - 2. Let k be a(4). Suppose -k*m + 20 = 3*m. What is the third derivative of -5*q**4 - 16*q**2 - 8*q + 16*q**m + 8*q wrt q?\nAnswer: 264*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 24 = -3*m. Calculate the remainder when 110 + m*(-2)\/4 is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 16) in base 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.102 - 175\nAnswer: -174.898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1005 is divided by 211.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 27*u**3 - 6*u**2 + 7*u - 1. Let t(k) = -14*k**3 + 3*k**2 - 3*k. Let h(q) = 2*p(q) + 5*t(q). Is h(-2) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 2 s, and 1 z when four letters picked without replacement from sjannnjdjdjddjzsdnn.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 2*s = 22, -o + 4*o = 5*s - 7. Which is greater: o or -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**4 + 0*n**4 - 5*n**4 + (2 - 1 - 2)*(4*n**4 + 0*n**4 - 5*n**4) - 106*n**3 + 0*n**4 + 104*n**3 - 7*n**4.\nAnswer: -8*n**4 - 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1399490283.\nAnswer: 3, 47, 2347, 4229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**5 - 20*p**4 + 32*p**3 + 28*p**2 - 26*p - 8. Let r(f) = 2*f**3 + f**2 - f - 1. Let h(t) = j(t) - 8*r(t). Factor h(y).\nAnswer: 2*y*(y - 9)*(y - 1)**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.357904 less than -0.61186?\nAnswer: -0.253956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41*f - 21*f - 257820. List the prime factors of f.\nAnswer: 3, 4297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -6075\/137534?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7887.542mm in nanometers?\nAnswer: 7887542000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 577463242 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, -0.3, 3, 0.16?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b - 2*b + 14. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22255774 + -3708469\nAnswer: 18547305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-7) + (-75)\/(-35). Suppose 29 = 2*i + 5*u - 46, c*i - u = 105. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/6*(-204)\/68.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ypyaybyya. Give prob of sequence pp.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v - 39*v = -171. Solve -21 = v*f - 5*f + 3*g, -2*f + 6 = -4*g for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 529.08 times -0.3\nAnswer: -158.724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 188 - 187. Let f be ((-56)\/(-28))\/(i\/11800). What is f rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 116 and 1218?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -40644 and 309384.\nAnswer: 268740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*n + 57 + 243. What is the remainder when n is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 86 + -132 + (27 - 5)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-4)*3\/(-6))\/(21\/(-48))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/(-20) + 694\/8. Suppose -i = f + 2*f. Let m = f - -43. What is the greatest common factor of 28 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-102 - -3)*(-1)\/3. Let i = -6 - -8. Suppose z = v + i*v. Calculate the lowest common multiple of 10 and v.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5440\/440719 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 3*x**5 + 24*x**4 - 27*x**3 = 0.\nAnswer: -9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8.03 and -0.5?\nAnswer: 4.015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -34*-56336\nAnswer: 1915424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 3:30 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 4*-3*((2*(sqrt(2057) + 2) - (sqrt(2057)*1 + 1)) + -2))**2.\nAnswer: 3432*sqrt(17) + 296377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.2 - -5.8. Let f = 8 - j. Which is the second biggest value? (a) -0.2 (b) -3\/8 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 171.1371 - 2\nAnswer: 169.1371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -157 - -160. Let u = 323 + -5489\/17. Which is the closest to -0.1? (a) 5 (b) l (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of -n**6\/120 + 11*n**5\/60 + n**4\/24 + 13*n**3\/6 + 33*n**2. What is d(11)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 117 = -355. Let l = -56 + k. Sort l, -5, 16 in decreasing order.\nAnswer: 16, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100123 (base 4) to base 7.\nAnswer: -3031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of 2*d**5\/55 - 13*d**4\/66 - 37*d**3\/33 + 10*d**2\/11 + d - 1. Factor h(u).\nAnswer: 2*(u - 5)*(u + 2)*(4*u - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -45 in 0.8, 6\/67, -1, 0.4, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1238659870 to the power of 1\/3, to the nearest integer?\nAnswer: 1074","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 o when three letters picked without replacement from {z: 5, x: 2, o: 2}.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 464 - 64 = 8*i. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 98 or -145?\nAnswer: 98","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12280*p + 4*w = -12277*p - 26, 36 = 8*p - 4*w for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 8432, 17120, 25830, 34574, 43364?\n\"Answer: 2*p**3 - p**2 + 8677*p - 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 5, 1, 4, -45, 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10926)\/(-15) - (54\/10 - 6). Let t = b + -733. Let d = 0 - 0. Sort t, -1, 5, d.\nAnswer: t, -1, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 14, -1.6, 2, -7.03 in descending order.\nAnswer: 14, 2, -1.6, -4, -7.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -158 - -131. Let j = -25 - x. Solve -z - w + j = -6, 0 = 4*z + 5*w - 37 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16406 >= 6811?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-9)\/(-7))\/((-21)\/(-49)). Calculate the least common multiple of 11 + (1 + b)\/(-4) and 130.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r + 3. Suppose -13 = -m - 1. Calculate the remainder when m is divided by i(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x - x + 3*x)*(-2*x + 6*x**2 - 10*x**2 + 8*x**2 - 1).\nAnswer: 8*x**3 - 4*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1*2)\/(2\/(-1)). Let y = h + 0. Let s be 0\/(0 + 0 + 1). Which is smaller: y or s?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 1)*(14 + 5*q - 14)*(0 - 3 + 0) as b + z*q and give z.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**0)**(3\/5)\/(f\/f**1*f\/(f*f**(-4\/9))))**15 assuming f is positive.\nAnswer: f**(7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a**(-5)\/a))\/a)\/a)\/(a*a\/(a*a\/a**(-6))*a*a)*(a*a\/((a**(-1\/3)*a)\/a))**(-10\/3)*(a**8*a*(a*a\/(a**(-2)\/a)*a*a)\/a)**(2\/99) assuming a is positive.\nAnswer: a**(151\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t - 7. Let s(h) = 5*h**2. Calculate o(s(p)).\nAnswer: -5*p**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -254*h**2 - 256*h**2 + 509*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23*o**5 + 718640*o**4 - 4*o - 1555109 wrt o.\nAnswer: -460*o**3 + 8623680*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/7*a**3 - 8\/7*a**2 - 20\/7*a - 16\/7 = 0.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21\/28 + 22\/(-24)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 6:02 AM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 194048, 193929, 193810?\nAnswer: 193691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 6*w = -2*b - 16, 10 = -2*b + 2*w for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 88512509 divided by -4?\nAnswer: -88512509\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 10:45 PM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.197428nm to millimeters.\nAnswer: 0.000007197428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 4*y + 85. Calculate z(-24).\nAnswer: -587","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((18\/(-84))\/(-1))\/((-2)\/24)*315\/60.\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 - -26)*4\/6*(-75097500)\/(-93). What is g rounded to the nearest one million?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -503, -1210, -1917?\nAnswer: -2624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2873 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 0*b = -36. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.281 - -0.281. Let u(y) = 7*y**3 + 2*y**2 - 2*y - 2. Let k be u(-2). Let h be k\/(-14) - (-5 + 8). What is the nearest to -1 in -0.4, h, a?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*m + 55 = 60*m + 20*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 - -7. Let w = -5.03 - -0.08. Let o = 1.05 - w. What is the second smallest value in o, 0.3, c?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*q + 4. Suppose -q*w = 3*l + 2 - 3, 4*w = -l - 5. List the prime factors of -2 - w - (-9 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a - 2. Let s(f) = -f + 7. Let p be s(5). Calculate i(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118*l**2 - 122*l**2 - 334 - 346 + 680.\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 532497 rounded to the nearest 10000?\nAnswer: 530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 1515*r + 13. Let q(t) = -t + 42. Calculate i(q(s)).\nAnswer: -1515*s + 63643","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a century in months?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5, -38, -131, -314, -617, -1070?\n\"Answer: -5*g**3 + 2*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 48*y - 220. Let q be y - ((-110)\/(-33) + -9). Factor q*h - 4 + 8\/3*h**2 + 2\/3*h**3.\nAnswer: 2*(h - 1)*(h + 2)*(h + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(3 + (sqrt(108) - (4*sqrt(108)*3 - sqrt(108)))*6)*-6*1)**2.\nAnswer: -77760*sqrt(3) + 13997124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -482097 divided by 1?\nAnswer: -482097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/10 or -568?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 4. Suppose 2*q + s*q = 8. Suppose 0 = -4*d - q*l + 32, d - 3*l - 15 = -0*d. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -3*d - 36. What is the least common multiple of 12 and v(-22)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6137287 not equal to -6137292?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r**2 - 3 + 0*r**2 - 44 - 1 - 3*r**2 to h*r + j + z*r**2 and give j.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 37396?\nAnswer: 186980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 53299 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 26294*r**2 + 71*r + 325. Is b(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 75\/2 of a tonne?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26 by -70.\nAnswer: -13\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4cb54 (base 16) to base 2\nAnswer: 1001100101101010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 52 - 1?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -14.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**3 - 123*m**2 + 81*m - 189. What is the remainder when s(61) is divided by 213?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.1329481 to three decimal places.\nAnswer: 1.133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54116.\nAnswer: 2, 83, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (4 - 2))\/((-13)\/(-26)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1611 and -19255901?\nAnswer: 19254290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/6)\/(((-32)\/(-4))\/4).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.60368008 rounded to three decimal places?\nAnswer: 0.604","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**34\/y)\/y*y*((y\/(y\/(y\/y**(-19))))\/y)\/y*y*y**14*y*y\/((((y*y**15)\/y)\/y)\/y) assuming y is positive.\nAnswer: y**56","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 6:04 AM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06 - 167312.\nAnswer: -167312.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 + 53321?\nAnswer: 53331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 3*g - 6. Let f(j) = -7*j + 13. Let n(r) = -6*f(r) - 13*z(r). Let l(s) be the second derivative of 4*s**3 - 11*s. Determine -4*l(v) + 33*n(v).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**3 + 0*c**3 - 3*c**3)*(-1949 + 895 - 234 - 2213).\nAnswer: 7002*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 158 + -156. Suppose -x - 7 = 3*h, x - 6 = z*h + 3*x. What is the nearest to 0.1 in h, -2\/15, 1\/19?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105199 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 588*t + 35 - 9 - 14 - 12 as f*t + h and give f.\nAnswer: 588","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 + 3 - 24 - (-3 + -6 + 3).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**10*i)\/(i*i*i*i\/(i*i**(-12)))*(((i\/i**(2\/11))\/i)\/i)**(5\/8) assuming i is positive.\nAnswer: i**(-417\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide ((-7)\/(420\/(-288)))\/((-2)\/(-85))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*i - 1361 = 1309. What is the remainder when i is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54 - (-59 + 29)) + 3 - -2?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3103 = -100*g + 116*g + 91*g for g.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of -t**4\/2 - 2*t**3 - 4*t**2 - 3*t + 45. Let b be ((-2)\/1 - -1)*(6 + -4). Let d be r(b). Put -1, d, 7 in ascending order.\nAnswer: -1, d, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24 or -265\/11?\nAnswer: -265\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -376 + 382. What is the third derivative of -s**w - 1317*s**2 + 1316*s**2 - s**6 - 16*s - 27*s**4 wrt s?\nAnswer: -240*s**3 - 648*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lh when two letters picked without replacement from {l: 3, g: 3, f: 1, y: 1, k: 10, h: 1}.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 0.58.\nAnswer: 2.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**2 + 5*k**2 - 2*k**2 - 548*k.\nAnswer: 2*k**2 - 548*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -16*m**2 - 647*m + 79. Let y be v(-42). Do y and -4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (g + 5*g + 0*g)*(266*g - 46*g + 42*g) to the form l*g + r + c*g**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, v: 9}. What is prob of picking 1 n and 3 v?\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218 is divided by 38?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, 2\/13, -12, -0.3, 35.6, -4.\nAnswer: -12, -4, -0.3, 2\/13, 4\/5, 35.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -555*j**5 + 151*j**5 - 163*j**5 + (2*j**2 - 1 + 1)*(2*j**3 + 5*j - 5*j).\nAnswer: -563*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 23896 a multiple of 559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*c - 183*u + 182*u, 0 = 2*c + 3*u + 2. Is -35\/233 at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -346.1492 + 0.8492. Let q = y + 345. What is the nearest to q in -0.004, -1\/3, 3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeguuugu. Give prob of sequence eug.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 0*x + 411 = 0. Calculate the remainder when x is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/2*(-4)\/2. Let f be 0\/l + (-2)\/(-2 + 4). Find the common denominator of (f\/(1 + -9))\/((-1)\/(-69)) and 23\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from zzzzzaxuzzuzattzzg?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.5, -2\/5, -3\/7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2 = -0*c. Let q = 61 + -71.8. Let z = q - -11. Which is smaller: c or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 108.76298302 + -4\nAnswer: 104.76298302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2))**(-10)\/((v*v**0)\/((v\/v**(-1\/4))\/v)))**(1\/16) assuming v is positive.\nAnswer: v**(77\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 680820990?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11346299183 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 164707?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, o: 17}. Give prob of sequence ok.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - 2*a + 2*a)*(20*a + 0 - 3 - 4*a)*(-3 - 11 - 12)*(-4 + 0 + 19)*(-3*a + 2*a + 0*a).\nAnswer: -12480*a**3 + 2340*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -3*k. Let f(d) = 74572543*d**2 + d. Give f(m(s)).\nAnswer: 671152887*s**2 - 3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 - -36. Suppose -25*b + 20*b + 45 = 0. Let o = u - b. Solve 2*l - 4*q + 4 = -0*l, 0 = -2*l - 5*q - o for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -503, -1012, -1519, -2024?\nAnswer: -2527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - 10*y + 27. Let p be r(6). Sort p, 6, -1 in increasing order.\nAnswer: -1, p, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1007*s**4 - 29868*s**3 - s**2 + 2*s - 113355042 wrt s?\nAnswer: -12084*s**2 - 179208*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + g - 2 = -6*z, 5*z + 13 = 2*g. Let n be (-2 + z)\/((-18)\/384). Suppose 2*l + i - 3*i = -n, 5*l - 2*i = -154. Which is smaller: -29 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/1513220 and 2\/11.\nAnswer: 16645420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 264580, 529158, 793736, 1058314, 1322892?\nAnswer: 1587470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, -2\/371, 2, 56, -0.071?\nAnswer: -2\/371","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -64*u - 16*u**4 + 64*u - 1 + 1 - u**4 + (-1 + 2*u**3 + 1)*(2*u - 4*u + 3*u).\nAnswer: -15*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 23330.016ns?\nAnswer: 0.00000000648056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7218346271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -951254 by -6.\nAnswer: 475627\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of i**7\/504 + 2*i**5\/15 + 4*i**2. Let m(n) be the third derivative of t(n). Let g(p) = p**2. Give g(m(q)).\nAnswer: 100*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8997 is divided by 8927?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891)*2 - sqrt(33)\/(4*sqrt(3))) + (((sqrt(396) - (sqrt(396) + 1*sqrt(396))) + -3)**2 - (sqrt(396) + 0 + -4)).\nAnswer: 191*sqrt(11)\/4 + 409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/110 and 73\/32128.\nAnswer: 1767040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - -2) + (-12 - -12). Factor 3*o**2 - 24*o + 0*o**2 + 4*o**t + 36 - 3*o**2.\nAnswer: 4*(o - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 - 27*x - 86. Let d be a(-30). Round d to the nearest 100.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.071 - 5.684.\nAnswer: -4.613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -924006*u - 657042*u - 578272*u - 51474*u.\nAnswer: -2210794*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 3:05 PM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4 - -8)\/60*(-20)\/(-32))\/(72\/192)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -3*a**2 - a. Let z be f(-1). Let y be 1\/2*(-8)\/z. Suppose -b - 4*b = -d + 190010, y*d + b = 379998. Round d to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**3 - 11*o**2 + 40*o + 59. Let a be s(3). Let i(w) = 2*w**2 + 2*w. Let l be i(-4). Is l at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x + 0*x + 2*x**3 + (0*x**3 + 3*x**3 - 2*x**3)*(3 - 2 + 1) - 4*x**2 + 4*x**2 + 2*x**3 + (-32*x**3 + 1786*x**2 - 1786*x**2)*(-1 + 3 - 4).\nAnswer: 70*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from {u: 5, s: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7304429842 rounded to 5 dps?\nAnswer: 0.73044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20060733?\nAnswer: 3, 7, 11, 86843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**1*w)\/((w\/(w*w**2))\/w) assuming w is positive.\nAnswer: w**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*-3*(sqrt(156) - sqrt(156)*3))\/(sqrt(1200) + (sqrt(1200) - (sqrt(1200) + sqrt(1200)*1*-1 + sqrt(1200)))) + 3)**2.\nAnswer: -54*sqrt(13)\/5 + 1278\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence djj when three letters picked without replacement from djydjydjjddjjj?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22177115741\/441 - 50288220. Let f = 1136\/49 - q. Find the common denominator of f and 31\/28.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13086014 divided by 5?\nAnswer: 13086014\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/212306 and 117\/20.\nAnswer: 2123060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -156*k + 11. Let z(y) = -311*y + 23. Let a(b) = -5*i(b) + 2*z(b). Is a(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.49144+644.974\nAnswer: 644.48256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -4*l - 4, -4 = -l + 5*c - 22. Suppose r = 3 - l. Suppose -4*q - 2*z + 13 = 1, -5*q = z - 15. Calculate the highest common factor of r and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -235, -86, 307, 1064, 2305, 4150, 6719, 10132?\n\"Answer: 20*n**3 + 2*n**2 + 3*n - 260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3286 + 9985 + 438 + 417)*(3*i - i - 3*i).\nAnswer: -14126*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(13)*1 + -3)*-5 + 0 + -5)**2.\nAnswer: -350*sqrt(13) + 1550","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1473, -841, 871, 4203, 9695?\nAnswer: 17887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 14, 11 in ascending order.\nAnswer: 1, 11, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x**(1\/8)\/x)\/x))\/(x\/((x**(-5\/14)\/x)\/x)))\/(x\/x**0*x\/x**(-24\/11)) assuming x is positive.\nAnswer: x**(-2873\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 AM and 6:25 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 17*g**2 + 41*g - 23. Let q = 13171 + -13185. Determine i(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 4*i = 70, -4*q + 34 = -2*i - 76. Is q a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g + 144 = 2*g. Suppose 435 = g*y - 7*y. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3680 - 3688. What is the biggest value in x, 235, 0.4?\nAnswer: 235","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 4 = -0. Let d be ((-18)\/15 - -2)*(-10)\/6. Is d less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*l - 1 + 1)*(l - 4*l - l) + l**2 - 3*l**2 + 0*l**2 + (6*l + 3*l + 5*l)*(l - 4*l + 0*l))*(l**2 + 0*l**2 + l**2).\nAnswer: -104*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of 4*q**3\/3 + 5. Let t(j) = -3*j. Give y(t(r)).\nAnswer: 36*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yji when three letters picked without replacement from {j: 1, i: 3, y: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -12*h**2 - 1112*h - 21730. What is x(-28)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from foqfjfof. Give prob of sequence joo.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (-37 + 17 + -35 + 17).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3404801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -r**4\/4 + r**3 - 3*r**2\/2 - r - 119. Calculate the remainder when 182 is divided by p(-3).\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of 0 - 1\/4*o**4 - o**3 - 2*o**2 - 1\/60*o**5 + 0*o. Let l be t(-4). Solve -l - 3 = -5*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 331214 + 11?\nAnswer: 331225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 427440 and 548?\nAnswer: 427440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 2578*o + 9 - 2904*o to n + f*o and give f.\nAnswer: -326","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -14*x - 8*x + 1848 - 1850. Let n(d) = -9*d - 2. Let b(c) = 77*c + 17. Let k(r) = -6*b(r) - 51*n(r). What is k(s(u))?\nAnswer: 66*u + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 9 - 56 + r + 24 - 2*r + 22. Suppose 2*m + 13 = 3. Let q = m - -6. Let j(p) = 4*p + 3. Determine q*j(h) + 3*s(h).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -h**2*x**2 + h*x**2 + 89*h*x + 19*h - 5669*x**2 wrt h?\nAnswer: -2*h*x**2 + x**2 + 89*x + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 59 and 0.3?\nAnswer: 17.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1824)\/(-80) + (-6)\/(-5). Calculate the greatest common divisor of 408 and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 6*t**2 - 5*t - 3. Let i be 6\/2*(-4)\/(-3). What is the units digit of u(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f. Let q(d) = -d**2 - 13*d - 24. Let o(x) = -2*n(x) + q(x). Let v be o(-7). Which is the closest to -2? (a) v (b) -0.4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 + 3*v + 140. Let x(i) = -i**3 + 17*i**2 - 2*i + 27. Calculate the remainder when j(0) is divided by x(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50041 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -208847, -417677, -626507, -835337, -1044167?\n\"Answer: -208830*c - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 128048 to the power of 1\/2, to the nearest integer?\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5213 - 4*g**2 + 14*g**2 + 5213 + 9*g**2.\nAnswer: 19*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from szxikkzc. Give prob of picking 2 k and 1 i.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -w + 5*w, -4*w = 0. Suppose j = -2*y + 7*y - 85. What is the remainder when y is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 592014193 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 74608 - 277817 = 4*l, 4*l = -4*c - 352420. Round l to the nearest 1000.\nAnswer: -88000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39336 != 39337?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16144, 32274, 48402, 64528, 80652?\nAnswer: 96774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20026282 to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that n**5\/4 - n**3\/2 + n\/4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 AM and 8:33 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 36143227 rounded to the nearest one hundred thousand?\nAnswer: 36100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-36)\/45)\/((-4)\/10). Let q be (-18199996)\/(-14) + 4\/14. Suppose -n + g*n = q. What is n rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1091, -1, -2, -3 in descending order.\nAnswer: 1091, 0, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -855 and -6.\nAnswer: 5130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23\/2760*-40)\/((-2)\/252*2).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 12 (b) 3 (c) 0.5 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 v when three letters picked without replacement from vcvvvvvvcv?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -105938.2515 to the nearest one thousand.\nAnswer: -106000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z. Let h(i) = -14*i**2 + 47*i - 4. Let f(a) = 11*a**2 - 48*a + 3. Let m(n) = -4*f(n) - 3*h(n). Determine m(s(t)).\nAnswer: -2*t**2 + 51*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 13\/4*h**2 + 20 - 1\/4*h**3 - 14*h = 0?\nAnswer: 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 884, -18, 12, 3, 1 in descending order.\nAnswer: 884, 12, 3, 1, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/21256 and (-1)\/(17710\/851 + -21).\nAnswer: 148792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 16*y**2. Let f(m) = -m**3 + 7*m**2 - 6*m. Let g be f(6). Let s(w) = -w + 3*w + g*w. Calculate s(z(t)).\nAnswer: 32*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 1\/11, 18\/17, -3\/5, -2, 0.04?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 22771, 4, 5, -28, -5 in ascending order.\nAnswer: -28, -5, 4, 5, 22771","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 53*t + 50*t + 48 = -4*h, -4*h = -15*t + 295 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 43151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -3*g + 12, 6 = -g - 5*f + 30. Let v(s) = s + 6. Let u be v(-5). Which is the nearest to g? (a) -0.4 (b) u (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 674467 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57114256.\nAnswer: 2, 109, 32749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 193933?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -3*l + 12. Let d(q) = q - 3. Let w(i) = -i**3 + 28*i**2 - 25*i - 58. Let o be w(27). Give o*a(r) - 15*d(r).\nAnswer: -3*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 684 and 1332?\nAnswer: 25308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 - 14*j - 10. Suppose -4 = -k - 17. Let x be s(k). Suppose 0 = 3*u - x*r + r - 5, -2*r - 12 = 4*u. Sort -3, -4, u in decreasing order.\nAnswer: u, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a kilometer in meters?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 369 is divided by 75.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - 4 - 2*y**2 + 2*y + 38 + 74 to r*y + v*y**2 + m and give m.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 19\/15 + 468\/(-780). Which is the closest to 577? (a) 0.1 (b) u (c) -2 (d) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -0.03098\nAnswer: 4.96902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*t + 6 = 131*t - 3*c, -30 = 5*t + 5*c for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 203*o = 192*o + 44. Let n = 44 + -16. Suppose -w - w = -n. What is the remainder when w is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -9*k + 7*k. What is the remainder when 237 is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 114, 103, 34, -93?\n\"Answer: -29*v**2 + 76*v + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -1833*d**3 + 2*d**2 + 2*d + 1. Let m be l(-1). Suppose 12*p - 17*p - 20 = 0, -2*c + 5*p + m = 0. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate k*l*o*t**2 + 3578*k*l*o*t + 5*k*o*t**2 - k*o - 24*k + 3*l*o + 50*o with respect to l.\nAnswer: k*o*t**2 + 3578*k*o*t + 3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 + (-1 - 6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-49)\/588*-27*4\/(-102). What is the nearest to 0.37 in -2, 2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 8*l**2 + 2*l - 17. Let p be w(8). Let u(v) = 14*v**2 + 5*v + 5. Let x be u(p). Solve -3*t - x = -2 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6387 + -4253. What is the highest common factor of 970 and u?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**2\/3 + 488567*o\/3 - 162856 = 0. What is o?\nAnswer: -488568, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2722539, -5445060, -8167581, -10890102?\nAnswer: -13612623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/9*v + 4\/9*v**2 + 0 + 2\/9*v**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 230*s - 5*r = 229*s - 45, 2*r = -4*s + 18 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.13 + -1.03. Let k = 7101\/10 - 711. Let h = k + 2\/5. Sort v, h, 3 in descending order.\nAnswer: 3, v, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 127334374?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1168*r**3 + 1632*r**2?\nAnswer: 7008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2583 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 233468 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3*a + 1872 = -2*v, 4*v = 8. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(475))**2 + sqrt(304)*5 + 0 + (sqrt(228) + -2*sqrt(228))\/sqrt(12).\nAnswer: 19*sqrt(19) + 1900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/2583820 and 49\/7820.\nAnswer: 43924940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**2 - 2916358*h + 46661216 = 0. What is h?\nAnswer: 16, 1458163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = 5*x - 7*x + a, 0 = -3*x - 3*a + 60. Suppose 4*i - 3*b + 0 = -3, -4*b = -i - x. Solve 1 = -3*t + o, -i*o = 5*t - 8 - 9 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124209 to the power of 1\/2, to the nearest integer?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -168*x**2 + 83*x**2 + 73*x**2.\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + f - 168 = 0. What is the smallest common multiple of f and 4?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8121*u**3 + 144*u**2 - 2*u - 2?\nAnswer: -48726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-40)\/10 + (-7)\/(-1). Suppose 5 - 104 = -b*g. Is g a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.858 - -2.24. What is i rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -121203333 (base 4) to base 15\nAnswer: -21053","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from feggfxg. Give prob of picking 2 g.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40\/9 - 82\/9*s + 2\/3*s**3 - 116\/9*s**2 = 0 for s.\nAnswer: -1, 1\/3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*c + 41*c = 105. Solve 2*x - 12 = c*o, -20 = -6*o + 8*o + 3*x for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27874 and 2402232.\nAnswer: 26424552","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - ((sqrt(28)\/sqrt(4))**2 + 1)) + -5 + -2*sqrt(7).\nAnswer: -13 - sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + 14.5. Let p = 236 - 238. Which is the nearest to -0.1? (a) p (b) g (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + -1)\/((-6)\/30). Let u(l) = -l**3 - 5*l**2 + l. Give u(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1931.808062415 + -1907.808063. Let l = b + -24. What is l rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, g: 3, x: 4, s: 6, y: 2}. What is prob of picking 3 x?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*m**2 + 3 - 18*m**2 + 3*m**4 + 3*m**2.\nAnswer: 3*(m - 1)**2*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3513 - 5?\nAnswer: -3522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-1\/14)*a)\/a)**40*a\/a**(-1\/40)*a\/a**(-43) assuming a is positive.\nAnswer: a**(24607\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*y**4 - y**4 - 2*y**4 - 7*y**4 - 12*y**2 + 12*y**2 - 2*y**4 + 0*y**4 + 3*y**4 + (1 + y - 1)*(5*y**3 + 0*y**3 - 4*y**3) + 2*y**4 + 1 - 1.\nAnswer: -y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/2))**(1\/24)\/((i\/i**(-2\/7))\/(i\/i**4*i)))\/(((i**(-7)\/i)\/i)\/i*(i\/i**(-1\/2))\/i*i*i**0\/(i\/(i\/(i**(-3)*i)))) assuming i is positive.\nAnswer: i**(1087\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(3\/11)*i)\/i**(7\/6))**(-1))**(5\/3) assuming i is positive.\nAnswer: i**(-35\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 2) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63911.86 nanometers to meters.\nAnswer: 0.00006391186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + 16*m**2 + 16*m + 21. Let z be x(-15). Solve 2*r - f - 8 = -3*r, 0 = -3*f + z for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.4, 2, 0.2, 79, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 438 and 1606.\nAnswer: 4818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 2*k = 167 - 173, 5*k = -l - 15 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*m + 25*m + 72. Sort -26, m, -2, -12 in increasing order.\nAnswer: -26, -12, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 3 = -7. Solve 2*a + z*g = -6, -4*a + 3*g = -2*g + 12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 3*c - 6. Let a(o) = 3*o - 5. Let r = 35 - 67. Let l be (-6)\/(-8) + 184\/r. Let m(v) = l*k(v) + 6*a(v). Let y(s) = -5*s. Give y(m(h)).\nAnswer: -15*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51)\/(sqrt(12)\/sqrt(4)) + 0)**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 3*d + 11 - 3, -3 = -m + d. Let n = -2 + m. Let j(a) = -13 - 4*a + 8 - 3*a + 4. Determine j(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 2 (c) 208\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -1 + -2 + 3 + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 + 6*y**2 + y + 4. Let i be p(-6). Let h be i - (2 - 3 - 1). Let b = 8 + -4. Solve b*n + 5*q = 14, h*q + 9 = 3*n + 3*q for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5.816, -1\/7, -2\/11, 3\/2, 3, -0.3, 0.4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28536, -23564, -18592, -13620, -8648, -3676?\nAnswer: 1296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000009717696 to six dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/18)\/(19\/228).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 423.99592 to 1 dp.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -214*c**2 - 4*c - 5. Let n(m) = 214*m**2 + 3*m + 4. Let r(o) = 5*n(o) + 4*s(o). Is 30 a factor of r(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*g - 7*g + 8*g)*((2 - 2 + g)*(-1 - 4 + 0) - 2*g + 4*g + 0*g + (-1 - 2 + 5)*(-1 - 2*g + 1) + (-1 + 3 - 3)*(3*g + 3*g - 5*g)).\nAnswer: 80*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 63, -1\/4, 5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b + 54 = 4*b. Let k = -22 - b. Let i(y) = 3*y + 5. Calculate i(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 times 103.48877?\nAnswer: 1241.86524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*l + 115 = 9*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*u + 31708 = 114522. List the prime factors of u.\nAnswer: 2, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 8\/9 - 10\/9*y**2 - 16\/9*y = 0.\nAnswer: -2, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25*b**6 + 1248*b**5 - 37*b**3 + 35128403*b**2.\nAnswer: -3000*b**3 + 74880*b**2 - 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 4:05 AM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5985*-7.3\nAnswer: -43690.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m - 11 = m + 3*a, 0 = 44*a - 0*a + 132 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 294272 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2477443 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 934*z + 3*q - 14 = 938*z, 21 = -3*z - 3*q. What is the second biggest value in -4\/11, -0.3, z?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 78890, 78894, 78898?\nAnswer: 78902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1372, 1541, 1518, 1303, 896, 297, -494?\n\"Answer: -96*x**2 + 457*x + 1011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 6*s + 50. Let v be w(-8). Solve -6*a - v = -4*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 1. Let n be (5 + o)*(3 - 2). Is 4 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36 - -68. Suppose -i = -2*b - 0*b. Calculate the greatest common divisor of b and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*y**3 + 391*y - 391*y + 978 - 3*y**3 + y**3 to n*y + a*y**2 + t + g*y**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v + 5*v = -10. Solve r - 7 = -v for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3230133232 + 0?\nAnswer: -3230133232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 9) in base 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**3 - 35848*y**2 + 83480240*y - 14030088800 = 0. Calculate y.\nAnswer: 182, 4390","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 12436958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1292817735?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/616 and -55\/48?\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 3*v + 55, 32 = 2*j + 3*v - 5. Let i = j - 13. Let g be 0*(-2)\/(-4) - -4. Solve -2*f + i = -g*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 29918*w + 119650. What is a(-4)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -129007, -128998, -128983, -128962, -128935?\nAnswer: -128902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -7*h**3 + 114*h**2 - 262*h + 111. Give z(14).\nAnswer: -421","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 53 and -1757340345.\nAnswer: -1757340292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 1156*l**5\/3 - 11628*l**4 + 70100*l**3\/3 + 11060*l**2\/3 - 12152*l - 10976\/3 = 0?\nAnswer: -7\/17, 1, 2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-11)\/(-3) + (-10)\/15. What is k in -k + 1 + r - 2*k**2 - k = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**2 - a + 1. Let l be t(1). Let m be ((-3)\/l)\/(15\/280). Let z be 18\/(-4)*m\/(-21). Solve 3*v - 9 = -3*o + z, 2*o - 5 = 3*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205772 is divided by 677?\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 5369*a - 4327*a - 4 + (-10 - 1 + 3)*(3*a - 3*a + a) to j + d*a and give d.\nAnswer: 1034","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -2*s - 11, 17 = 4*s - 3*j - 0*j. Suppose s*b + 0 = 124. Let n = b - 6. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(((t\/((t*t**(-1\/3))\/t)*t)\/t*t)\/t))**(-31)*t**(4\/5)\/t**1)**(-1\/4) assuming t is positive.\nAnswer: t**(-38\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 83007*g**3 - 36*g**2 - 18*g - 18. Let c(p) = 59291*p**3 - 26*p**2 - 13*p - 13. Calculate 18*c(h) - 13*d(h).\nAnswer: -11853*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 151, 174, 233, 346, 531, 806?\n\"Answer: 3*i**3 + 2*i + 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - -20. Suppose 0 = 2*m + 2*l - b, 0 = 4*m - 2*l - l - 41. Solve -4*k + m = -0, 3 = t + 4*k for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -3 - (-7 + -14 + 13)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*x - 48 + 6 = 0. Let k(z) be the third derivative of 0*z**5 + 9*z**2 + 0*z**4 + 0*z**x - 1\/210*z**7 - 1\/60*z**6 + 0 + 0*z. Solve k(v) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a microgram in nanograms?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 39683.04 centimeters in kilometers?\nAnswer: 0.3968304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(540)\/(sqrt(1200)*-1) - (sqrt(315)*-2)\/sqrt(7)*-2)**2 + -2)*-3*5.\nAnswer: -45267\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13072 - -13082. What is the highest common factor of 24470 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -77 + (-12 + -2 - (75 + -71)) + 5?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -14. Suppose z + g*i - 3 = -0, 4*z = -i - 7. Let h = 6 + z. Sort 0, 2, h in ascending order.\nAnswer: 0, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 + 77*f**2 + 152*f + 77. Determine t(-75).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/78981669 and 97\/35102964.\nAnswer: 315926676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 66741?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 + 1. Let f(t) = -t**3 - 5*t**2 + 10*t + 4. Let o be f(-7). Let h be o\/(-40)*5\/(-2). Let z(p) = -4*p**2 - 5. Calculate h*z(w) + 9*k(w).\nAnswer: w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 90, -144, -552, -1140, -1914, -2880, -4044?\n\"Answer: -g**3 - 81*g**2 + 16*g + 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 850739805?\nAnswer: 3, 5, 18905329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 10) to base 3.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 - d - 1. Let o = -39 + 33. Let q be (-3 - -9)\/((-4)\/(16\/o)). Let f(j) = -5*j**2 - 6*j - 5. Give q*c(k) - f(k).\nAnswer: k**2 + 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43104?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (80\/(-15))\/8 + 64\/6. Solve -2*l + 0*l = 2*b + q, 4*b = -2*l - 16 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2*z - 14 = -44, 5*z - 1 = -2*t. Let a = 7 - t. Is a > -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 319581631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (19\/(3990\/(-405)))\/(24\/(-14))\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-15)\/(-3) - (5 - 7)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-1) + -13 + 21 + (-588)\/576.\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -159 + 93. Let p = 67 + v. Is 36 a factor of 110 + -4 - (-2 + 1 - p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -6*m**2 - 36*m - 3. Let d be i(-5). Solve 0 = -42*g - 111 + d for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 103111?\nAnswer: -103121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 8685904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**7)\/(p*p*p**(-2\/13))*p**(4\/3)\/p**(5\/8) assuming p is positive.\nAnswer: p**(-2227\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 t when three letters picked without replacement from tgmzmt.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/77)\/((9\/(-105))\/(33\/330)).\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -222779 (base 11) to base 14.\nAnswer: -93519","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 62787057?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 s when three letters picked without replacement from siss.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 40 = -5*o, 0 = 4*o - 8 - 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.16, 2\/19, -3\/13, -0.3, 2\/9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3875.418cm to kilometers.\nAnswer: 0.03875418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9954 is divided by 25.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - 3794.\nAnswer: -3793.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -365\/2268?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -4419.027 to the nearest integer.\nAnswer: -4419","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/18 - 148\/(-6). Suppose 5*f - 2*f - r = 0. What is the least common multiple of 55 and f?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1203*r + 2*r**3 - 1203*r.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - 2\/(-3))*-2*6. Find the second derivative of r*u + 19*u + 30*u - 6*u**2 - 2*u**2 + 2*u**3 wrt u.\nAnswer: 12*u - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101100110010001100100000 (base 2) to base 9.\nAnswer: 24073143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of m**4\/3 - m**3 + m**2. Let s be a(6). Suppose -5*i + 44 = -0*i - b, -3*b - s = -5*i. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39393 + -25870. What is the thousands digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/24 and -41\/792.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 427713 to the nearest integer?\nAnswer: 654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -7042, -7032, -7008, -6964, -6894?\n\"Answer: l**3 + l**2 - 7044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*21\/12*2*(-468)\/(-702)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4 + ((((0 + sqrt(208))*1 + -6*(-1 + sqrt(208)))*3 + -1)*-5)**2).\nAnswer: -4708916 + 204000*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -38\/9 - -14\/3. Let u = 0.1 - 0.2. Let i = u - -1.1. What is the nearest to i in -2\/13, 4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 9*h**2 - 12*h + 12. Give r(8).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 52 = 3*w. Suppose -2*k - 5 + w = 0. Which is bigger: k or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-58)\/8 + (-1)\/(-4) - -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -3*l**3 - 56*l**2 + 2*l + 690. Calculate q(-18).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6409 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/5 + 499706*z**2\/5 - 6242102448*z - 343376101728\/5.\nAnswer: -2*(z - 124932)**2*(z + 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5022\/1215*5\/(-4) and -25\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102002 (base 5) to base 11\nAnswer: -25a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 544968*b**2 + 14616*b + 98 = 0.\nAnswer: -7\/522","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61830001 is divided by 71.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + -7 + (-10 + -11 - -35). Solve -7*l - d = -2*u - 12*l, -l + 1 = u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - 2*g - g + (-2 + 3 + 0)*(1 - 1 + 2*g) - 38*g + 12*g - 39*g)*(-g - g + 3*g).\nAnswer: -66*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 + 106*j + 535. Determine z(-5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a centimeter in millimeters?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 476\/(-49) + 4\/(-14). Let w be x\/(-3)*(-30)\/(-25). Sort -1, -21, w.\nAnswer: -21, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**3\/4 + 13*m**2 - 235*m\/4 = 0. Calculate m.\nAnswer: 0, 5, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - 1421?\nAnswer: -1423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 17 = 2*c, -i = 2*i - 2*c - 27. What is the second derivative of 0*z**2 - 4*z**2 - 6*z**2 + 4*z**2 - i*z wrt z?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 2*p + 204, -5*s - p + 201 = 2*p. Let n = s - 23. Suppose o + 4*b + 2 - 18 = 0, o - 41 = b. What is the remainder when o is divided by n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102890704451 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 less than -1.14?\nAnswer: -9.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*((r**(-11)*r)\/r)\/r)\/r**(-2\/19))\/((r*(r\/(r**16*r))\/r)\/(r*r**(1\/19)*r)) assuming r is positive.\nAnswer: r**(136\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x*((x*(x\/((x*x**7*x)\/x*x*x*x))\/x)\/x)\/x*x)\/x*x**(24\/11))**(-23) assuming x is positive.\nAnswer: x**(1978\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1471077 is divided by 98067.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-4*sqrt(2420)*-3)\/(-5*sqrt(90)*-1*1).\nAnswer: 176*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from pwpwwwpdpww.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*m + 5*f - 19, -m + 3*f - 65 = m - 5*m - 53 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 8*u - 245 = 5*u, 0 = -3*q - 3*u + 747. List the prime factors of q.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39 and 860949?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -24620844*c**4 - 2*c**2 + c + 151893019 wrt c?\nAnswer: -98483376*c**3 - 4*c + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + j = 0. Suppose -25 = 5*h - 40. Suppose -17 = -5*q - o, h*q - 4 - 3 = o. Solve r + l - 1 = 0, q*r + j*r - 5 = -4*l for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(4\/7)\/(i**(-4\/5)\/i))\/(i**(6\/11)*i*i\/i**11*i*i) assuming i is positive.\nAnswer: i**(3398\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8617278 to the nearest integer?\nAnswer: 2936","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-8)*2\/3*(-281)\/((-7025)\/(-950))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 5*z - 5*g - 670, 2*z + 5*g - 235 = 0. What is the remainder when z is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 609 - 1192. Let k = -1145\/2 - y. Find the common denominator of 7\/20 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -136*q + 235*q - 4*q**2 - 99*q + 2115*q**3 to k*q**3 + w + l*q**2 + x*q and give k.\nAnswer: 2115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3279*m + 13797 = 3288*m. What are the prime factors of m?\nAnswer: 3, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1286?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 5, 4*m + 0*d - 3*d + 7 = 0. Factor 4 + 3*g**m - 6*g - 1 + 0.\nAnswer: 3*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -2\/5, -2\/69?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23715 divided by 45.\nAnswer: -527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7208100 rounded to the nearest one hundred thousand?\nAnswer: -7200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h - 127. Let k(p) = p + 3. Calculate k(l(y)).\nAnswer: -2*y - 124","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52, -63, -110, -223, -432, -767?\nAnswer: -1258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1799927 and 10.\nAnswer: 17999270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -348197*v**3 - 198*v + 198*v - 3*v**2 + 3*v**2 + 348219*v**3.\nAnswer: 22*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 18, 12.45, 54?\nAnswer: 12.45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5.7, -9, -5 in ascending order.\nAnswer: -9, -5, 5.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 3*n = -378, -5*a + a = 4*n - 1432. Is 363 less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.34? (a) 4 (b) 87 (c) -6 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 67741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 10171, 40666, 91471, 162568, 253939, 365566, 497431?\n\"Answer: -3*z**3 + 10173*z**2 - 3*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16945 + 21569. What is the greatest common factor of m and 952?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 21 (b) -4\/5 (c) 0 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 159 - 78. Let c = -64 + z. Let n = 17.00000023 - c. Round n to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2696 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z + 6*z - 5*z)*(2 + 3 - 4)*(1 + 3 - 2).\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 3 + -11 + 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3066.01 + 3066. Which is bigger: 55 or x?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.923 times -5?\nAnswer: 119.615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.25 - 0.05. Let i = c + 1.3. Let p = 2 - 1. Do p and i have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -206433584*d + 61134774.\nAnswer: -206433584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n - 1955806 = s - 8*n, 0 = 3*s + 4*n + 5867424. Round s to the nearest ten thousand.\nAnswer: -1960000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4134956 and 61124.\nAnswer: 152993372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 - (-15)\/10)*8\/(-12). Let r be 2*g\/(-6) - 230\/(-69). Solve 0*b = -2*b - r*y - 17, -28 = 3*b + 5*y for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r - 2*h + 18, 3*r - 69 = 6*r - h for r.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 18*u**2 + 18*u + 11. Let k be o(-17). Let q = k + 8. What is the derivative of d**2 + 7*d**3 + 182 - d**q - 181 wrt d?\nAnswer: 21*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -o**6\/200 - o**5\/100 - 2*o**3\/3 + 2. Let w(r) be the third derivative of t(r). Factor w(p).\nAnswer: -3*p*(3*p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 5*k + 20 = 0, 29*k + 134 = 2*z + 250 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -3*b - 5. Let m(q) be the first derivative of -q**2 - 4*q - 34. Let u(t) = 4*a(t) - 5*m(t). Let i(o) = 7*o. Determine i(u(x)).\nAnswer: -14*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2556427 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -470 divided by 1345792\nAnswer: -235\/672896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 45*d - 5. Let k(c) = -14*c**2 - 41*c + 3. What is k(i(u))?\nAnswer: -28350*u**2 + 4455*u - 142","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 13*j - 54. Let h be g(5). Let i(d) = -d**3 - 9*d - 10 - 9*d**2 + 10 - h - 5*d + 3*d. Let q be (-116)\/14 + (-2)\/(-7). What is i(q)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/7, 2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -209476, -209447, -209420, -209395, -209372?\nAnswer: -209351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -560 + 547. Which is the second smallest value? (a) 11\/4 (b) g (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3564 and 18810?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28723340?\nAnswer: 2, 5, 29, 49523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2))**(4\/17)\/(n*n\/n**(-5\/4)*n\/n**(1\/6)*n))**(-25\/2) assuming n is positive.\nAnswer: n**(28325\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 44208 divided by 30?\nAnswer: 7368\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 - -80. Calculate the greatest common factor of 85 and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - 5*r**2 + 7*r. Let f(g) = -g**2 + g. Let m(b) = c(b) - 2*f(b). Let n be (-6)\/(15\/(-5))*-16. Let j = n - -28. Determine m(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 1 + 26. Suppose -4*g + 23996 = -g - r, -u*g + 39992 = -2*r. What is g rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1024, 2112, 3200?\n\"Answer: 1088*a - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 14*a**2 + 30*a + 524. What is the units digit of v(-22)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*u**3 + 2*u + 0*u**4 - 2*u**4 + 22*u**3 + 0*u as i*u**3 + y*u + n*u**4 + o*u**2 + r and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m - 2*m + 3*m)*(6*m**3 - 3*m**3 - 2*m**3) + m**4 - m**4 - 2*m**4 + 43*m**2 - 43*m**2 + 7*m**4.\nAnswer: 6*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*(-12)\/3)\/(-22*(-9)\/(-594))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 + 15. Let c = 0.14 - 0.64. What is the closest to -1 in k, 2\/5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13126.08 months in decades?\nAnswer: 109.384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-1\/2))**(-31)*u**(-1)\/(u\/(u*u*((u*u**8)\/u)\/u)))**(6\/7))**38 assuming u is positive.\nAnswer: u**(5130\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 284.267 to the nearest ten.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3752 - 3708 = 11*a. Let q be 6 - 2 - 1\/1. Which is bigger: q or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2201876.\nAnswer: 2, 550469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2345, 3292, 4871, 7082, 9925?\nAnswer: 13400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 12 = -0*z. Suppose -2*f - 22 = -5*a - 0, 0 = -2*a + z. Let d(q) = -q**2 - 5*q + 7. Let l be d(f). Put 5, 2, l in descending order.\nAnswer: 5, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 + 4\/(-1) - -658 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 - f + 4*f**2 - 1 + 0*f + f**3. Let c be y(-5). Suppose c*s = -5*x, 9*x - 4*x = -3*s. Solve 5*b - 10 = q, s = -3*q + 3*b + 2*b for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of -19*g**4\/24 - g**3\/6 - 2*g**2. Let t be p(-4). Suppose 0 = -3*y + 30 + t. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3\/7)*w**(-1\/3)*w)**(3\/20)\/(w*w*w**(2\/17)*w**4)**21 assuming w is positive.\nAnswer: w**(-61135\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/12 - 32\/42. What is the biggest value in l, -4\/7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 574313678.\nAnswer: 2, 287156839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-8))**(-2\/11)*(y**5)**(-2\/47))**(3\/8) assuming y is positive.\nAnswer: y**(411\/1034)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122 = -5*s - 162 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.02 - -0.13. Let g = 3.89 + z. Let i = 5 - 3. Which is the third biggest value? (a) i (b) 0.3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*o)*(-136 + 70 + 67 - 145*o).\nAnswer: -290*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*v**2 + v**2 - 3*v**2)*(-2*v + 440239*v**2 + 1 - 16*v - 1 - 440187*v**2) to i*v + s*v**2 + r*v**3 + y + d*v**4 and give r.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5242*i**2*m**2*t**3 + i**2*m**2*t - 5*i*m**2*t**3 + 33*i - m**2*t**2 - 4*m*t wrt i?\nAnswer: 10484*m**2*t**3 + 2*m**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, w: 4, e: 4, u: 3}. What is prob of picking 2 i?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**3 - 3*h**3 + 5*h**3)*((-2 + 2 + h)*(1 - 1 + 2*h) - 1 + 1 + 2*h**2 - 6*h**2 + h**2 + 3*h**2).\nAnswer: 6*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -48*l**2 + 39*l - 39*l**2 + 84*l**2.\nAnswer: -3*l*(l - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5009 - 2846. What are the prime factors of f?\nAnswer: 3, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5\/8 of a microgram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**2. Suppose 0*s + 6 = 2*s. Let t(y) = 0*y + s*y + 0*y. What is p(t(x))?\nAnswer: 18*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2230*n*v**6 - n*v**3 - 88*n*v**2 - 4*n*v + 26*v**4 - 39*v**2 wrt v.\nAnswer: 267600*n*v**3 - 6*n + 624*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 4 + 24. Find the second derivative of -2*j**5 - j - y*j**5 - j**5 wrt j.\nAnswer: -160*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -86.4 + 86. Let f be 6 - 2 - (-2 - (-190)\/35). What is the closest to 0 in d, 3, f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 468*n - 142*n + 65143 - 16659 = -728*n for n.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 240*n**2 + 8. Let s(r) = 2*r. Give p(s(k)).\nAnswer: 960*k**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4752 + -4752.1. Let q = 0.3 - 1.3. Put q, 16, 0.4, z in decreasing order.\nAnswer: 16, 0.4, z, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 708199975?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/16)\/(11\/132)*(-1 - 1). Solve 10*a - 4 = h*a - l, -2*l - 27 = -5*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1, 6, 25, 62, 123, 214, 341?\n\"Answer: q**3 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -36*o + 132. Suppose 4*p = -2*l + 62, -5*p + 88 = -2*l + 5*l. Let t be m(l). Round t to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -2, -33, 3\/5, -1\/3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a**2 + 2*a + 52. Let w(s) = 2*s**2 + 2*s + 51. Calculate 3*r(f) - 2*w(f).\nAnswer: 2*f**2 + 2*f + 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1882 or -1883?\nAnswer: -1883","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*6*(sqrt(95) - -1*3*sqrt(95)))\/(-4*(sqrt(180) - ((sqrt(180) - (sqrt(180) - sqrt(180)*1)*-3) + sqrt(180)))).\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 6:47 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/2 or -291?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*j**5 + 30*j**5 + 3*j**5)*(-3 + 0 + 2) + (-6*j**4 + 0*j**4 + 4*j**4)*(-2*j - 3*j + 2*j).\nAnswer: -51*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 70549 = -135946. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.4 and 35032.4?\nAnswer: 35032.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8\/6263 + 38394\/39863995. Let t = 553723\/101840 - k. Find the common denominator of t and -105\/22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4566 - c41?\nAnswer: -54a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = -0*w - 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -19401788 rounded to the nearest ten thousand?\nAnswer: -19400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 164 - 160. Suppose 5*a = -5*p + 155, -2*a - 12 = -5*p + 157. Let n = p + -28. Solve -2 = n*j + y*k + 14, 4 = 4*k for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3*r - 26 = 0, -4*w + 17 = -4*r - 39. Suppose 0*j + 2*j = -5*s, 0 = -5*j - 4*s + w. Solve 7*v - 2*v = -j for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*d + 2*d**2 - 15*d**2 + 10*d**2 - 4*d**2 to q + y*d**2 + n*d and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -2. Suppose -2*m - 4 = -3*m. Suppose 3*a - v - 66 = -y*a, -m*v = -12. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48 + -49 + (6 - -1) + 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4347, 17198, 38609, 68574, 107087?\n\"Answer: -s**3 + 4286*s**2 + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 + 68 - (3 - (-6 - 0))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*w - 10 - 41*w**2 - 23*w**2 - 55*w**3 - 56*w**2 = 0.\nAnswer: -1, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 313874?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33 - -34. Let u = -31\/35 + 2\/7. Which is the closest to -2\/5? (a) u (b) -0.1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -69.8298, 1.4, 3 in increasing order.\nAnswer: -69.8298, 1.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*l - l - 2*l + 2*l in the form c + x*l and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/568 and 31\/9017.\nAnswer: 72136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/42 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 19289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of -7*n**5\/60 - 39*n**2. Let p(y) be the third derivative of y**4\/24 + 2*y**2. Determine p(v(k)).\nAnswer: -7*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 499097 to the nearest integer?\nAnswer: 706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2465.486 + 2463. Let w = m - -45.746. Let g = -42 + w. What is g rounded to 1 decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 - (23 - (-28 + 76)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2012232201 (base 5) to base 16\nAnswer: -3d66f3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3163*x**6 + 3420*x**2 wrt x.\nAnswer: -379560*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*-1*sqrt(275))\/(sqrt(1584)*-1))\/((-1*sqrt(450))\/(sqrt(10) + sqrt(490) + (sqrt(490)*-1 - sqrt(490)))).\nAnswer: 5*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3, 19, 43, 75, 115, 163, 219?\n\"Answer: 4*q**2 + 4*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23190?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -58 + 205. List the prime factors of b.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 316 + 2*f + 295 - 524.\nAnswer: 2*f + 87","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-2 + (-22)\/(-10)). Suppose 2*o - i = -p + 16, -2*p + 39 = 3*o. Let v = p + -8. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 2089034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(3\/(-1))*(-44)\/10*3668\/(-2882).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 131 - 723 = -19*w. Calculate the smallest common multiple of 24 and w.\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2793\/2 - -1393. Let l = 136 - 134. Which is the smallest value? (a) l (b) 2\/5 (c) i (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/7 (b) 0.3 (c) -1\/7 (d) 0.4 (e) -13\/5 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-1)*w)\/w)**(-43)\/(w\/(w**(8\/5)\/w))**(5\/3) assuming w is positive.\nAnswer: w**(-260\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence chwa when four letters picked without replacement from {c: 2, a: 3, h: 3, w: 5}.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4.3 (b) -8 (c) -9 (d) 2 (e) 15 (f) -0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 288*x**6 + 22*x**4 - 16*x**2 + 9*x - 4 wrt x.\nAnswer: 34560*x**3 + 528*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -212 + 633 + 1007 = 51*d for d.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5*(5 - 154\/10). Let w be i\/24 - 2\/6 - -1. Which is the third smallest value? (a) 5 (b) 2\/7 (c) -1 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 71 = -5*d + 16, 3*d - 4*p = -34. Let k = 15 + d. Suppose -k*w + 177 = -233. What are the prime factors of w?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-140))\/((1\/3)\/(30\/72))\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (3076 - 3080)\/(-67 + 2 + -1)?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 279.8116 millilitres?\nAnswer: 0.2798116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13621872*j**5 - 60*j - 101012.\nAnswer: -272437440*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, j: 2, l: 1, u: 8}. Give prob of sequence yyl.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 0*y**3 - 4*y**3 - y**2 + y**2. Let v be m(-1). Factor 2*g**3 - 3 - 10*g**4 - 2*g + v + 9*g**4.\nAnswer: -(g - 1)**3*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1786*t**6 + 2*t**4*u - 1146*t**2*u - 2 wrt t.\nAnswer: 214320*t**3 + 48*t*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -118640466, -118640465, -118640464, -118640463, -118640462?\nAnswer: -118640461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/4)\/((-5)\/220). Let t = -16 - c. What is the units digit of t\/(-4)*880\/(-30)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9884 times -0.343\nAnswer: -3390.212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-4))\/(27*(-145)\/2088)?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 195, 392, 597, 810, 1031, 1260, 1497?\n\"Answer: 4*w**2 + 185*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -3*o - 2*o - 29*o**2 - 65*o**2 - 64*o**2 + 147*o**2. Let k(w) be the second derivative of -w**4\/12 - 2*w. Give k(u(m)).\nAnswer: -121*m**4 - 110*m**3 - 25*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 788 (base 14) in base 16?\nAnswer: 5d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -0.32 (c) -5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 0, -62, -164, -306, -488, -710?\n\"Answer: -20*t**2 - 2*t + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -m. Let w(x) = x**2 - 8*x - 9. Let b be w(8). Let c = b + 12. Solve -n = m, -c*i + 20 = -2*n + 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - -1*(2 + -4). Let c(x) = x**2 + x - 1. Let i(a) be the first derivative of 5*a**3\/3 + 3*a**2 - 6*a - 23. What is w*i(j) - 6*c(j)?\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 6 = g, -1 = 2*g + 2*c - 13. Suppose 0 = -5*o - 2*x - 0 - g, 20 = 4*o - 4*x. Let u = -0.2 + 0.1. Sort u, o, -0.2 in decreasing order.\nAnswer: o, u, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*l - 31 = -9862 for l.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of -1\/9*c**3 - 8\/3*c + c**2 - 69. Let u(k) = 0. What is k?\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**2 + 2562310486874*y - 2562310486874*y.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 12 + 23)*(-3*u**3 + 2*u**3 + 3*u**3)*(4 + 3 - 5).\nAnswer: 12*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -535*m - 7757 = -23807 for m.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -445*s - 61. Is l(-32) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 362, -20, -5, 3, -25, 2 in ascending order.\nAnswer: -25, -20, -5, 2, 3, 362","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.010745278718 to 5 dps.\nAnswer: 0.01075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3477 to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/9 + 5009168*p\/9 + 3136470506528\/9.\nAnswer: 2*(p + 1252292)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 144 and 3087?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3365066659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of d**4\/4 - 199*d**3\/3 - 410*d - 394. What is the first derivative of p(v) wrt v?\nAnswer: 3*v**2 - 398*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*v + 9*v - 4. Suppose -v*s = -2*s - i - 39, s - 21 = i. Calculate the greatest common divisor of 63 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4238 - -4314. Calculate the remainder when 346 is divided by z.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/8 and 15\/25*(-11)\/(13596\/210).\nAnswer: 824","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -370 = -4*q - 2*i, -4*i + 6*i = 2*q - 176. Suppose q*r = 80*r - 11. Which is bigger: r or 4\/45?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 3*k - 3*w, -2*w + 0 = 3*k - 1 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-12)*1)\/(((-7623)\/132)\/33)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -5*c**2. Let k(b) = -244*b + 25. Give k(g(s)).\nAnswer: 1220*s**2 + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 315?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.297*-30\nAnswer: -8.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 6, 14, 38, 84, 158?\n\"Answer: g**3 + 2*g**2 - 5*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 17, 33, 49, 65, 81?\n\"Answer: 16*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31526?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 539.4 - 539. Which is the second biggest value? (a) -0.19 (b) v (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqwwqoqqwowwwwqwwqaq. Give prob of picking 1 a and 1 q.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -358 divided by -1.\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3670055 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*v = 4*v - 256 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3995*d + 3667*d + 5576 for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 8:33 PM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 421001952?\nAnswer: 2, 3, 7, 127, 4933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -0.8 (c) -44 (d) 8 (e) -10 (f) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -23*w**3 - 6*w**2 + 3*w + 2. Let r be y(1). What is the hundreds digit of (-8528)\/(-20) + r\/60?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (-7 - (-7 + 5)) + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30303854 a multiple of 2309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8351 divided by -220?\nAnswer: -8351\/220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 404.03*-4\nAnswer: -1616.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from waddaahaddddaad. What is prob of sequence hd?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 q when four letters picked without replacement from {c: 6, x: 2, q: 4}?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30 - -3. Suppose -4*p + 4*s - 72 = 0, 3*p - 5*p = 5*s + 29. Let u = p - c. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 705 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/(-5))\/((24\/460)\/((-21015)\/32223))\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12\/13 - -62\/39. What is the third smallest value in 1\/6, -1\/3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2575172 (base 8) to base 5.\nAnswer: 141010412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*b + 18. Suppose 4*k = 5*q - 9, b*q = 2*k - 0*k + 6. Solve -q - 3 = -4*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.46*0.4.\nAnswer: -0.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 2*k - 2904, 18 - 6 = -3*z. Let v = k + -955. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 1 + 0*d**2 - 10*d - d**2 - d**3 + 8*d + 4*d**2. Let s be c(3). Sort 5, s, 0.\nAnswer: s, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1494 - -2128. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -269?\nAnswer: -264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4}. Give prob of picking 4 e.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, 9044, 1, -6 in ascending order.\nAnswer: -6, 0, 1, 3, 9044","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21150.\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 times 0.0153?\nAnswer: 10.3581","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -87303 - -87299.7. Let f be ((-526)\/6*4)\/2. Let p = 177 + f. Which is the second biggest value? (a) g (b) 3\/4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-2 + (-3 + sqrt(68))*-3) + 4)**2 + -1.\nAnswer: -432*sqrt(17) + 2771","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (5*(sqrt(192) + -1) - -2*sqrt(192)*-4 - (4 + 5 + (sqrt(192) - 2*sqrt(192)) + sqrt(192)))**2.\nAnswer: 672*sqrt(3) + 1925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 460 - 458 - (-1*2 - -8). What is the fourth biggest value in -0.053, 1, -1, -4\/7, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 626 or 156121\/249?\nAnswer: 626","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2\/4 - 4101*w\/4 - 20805.\nAnswer: 3*(w - 1387)*(w + 20)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -28126 (base 10) to base 4\nAnswer: -12313132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m**2. Let h(j) be the second derivative of 2*j**4\/3 - 2*j**3\/3 - 2*j**2 - 2*j. Let l(s) = s**2 - s - 1. Let a(i) = -h(i) + 4*l(i). Give c(a(q)).\nAnswer: -32*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -3*l - 4*y, -24*l + 20*l + y = -31 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -10419, -1 in ascending order.\nAnswer: -10419, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 255981 is divided by 682?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2237200 and 132540.\nAnswer: 315445200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 83181*r**5*t - 102276*r*t wrt r.\nAnswer: 1663620*r**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 5\/4 of a meter?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*m = -288*m + 178*m + 159*m - 7626 for m.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**(-2\/21))\/k*k*k**5*k)\/((k\/(k\/(k\/(k\/(k**(2\/5)*k))*k)))\/k**(2\/3)))**(-28) assuming k is positive.\nAnswer: k**(-2252\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -4 + 1. Suppose -2*d = u*a - 6 + 4, 5*a = -5*d + 5. Is a > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2310 and 4136.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 o when two letters picked without replacement from nwwzbbwcowbb.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8206, -16332, -24472, -32632, -40818, -49036?\nAnswer: -57292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 - 3*p + 5. Let r be g(-3). Solve -4*b + 12 = r*q - 8, -3*b + 16 = 4*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -2 - 3. Suppose -599 = -374*l + 1645. Which is the closest to 1? (a) l (b) 1\/6 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o**(5\/2)*o)\/(o\/(o\/(o*o**4\/o*o))))\/(o**(-6\/11)\/((o*o**3\/o)\/o)))**27)**(-5\/6) assuming o is positive.\nAnswer: o**(-1035\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11183913?\nAnswer: 3, 13, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/(-6) - 0)\/(173\/1038). What is the nearest to 7 in 4, 0.3, n?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56065 is divided by 5585?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -47, 11, -0.5, -1\/5, 382.92?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -86329\/5 + 17368. Let r = q - 102. Factor 3\/5*l + 3\/5*l**2 + 1\/5 + r*l**3.\nAnswer: (l + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -57 + 66. Suppose q = 9*i - 36. Solve -i*w - 5 = z - 3*z, -w - 1 = 2*z for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven quarters of a millennium?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118030 is divided by 4875.\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -35567472 divided by 8\nAnswer: -4445934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (((-18)\/(-135))\/((-13)\/39))\/((-2)\/25)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26500 and 199150.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2997 or 2998?\nAnswer: 2997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 62423 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of -3*b**7\/14 - 7*b**6\/10 - b**5\/2 + b**4\/2 + b**3\/2 - b**2\/2 - 3*b. Factor q(l).\nAnswer: -(l + 1)**3*(3*l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 112.4 * 1.2\nAnswer: 134.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 455001359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/127 in -2\/3, -8\/3, 60?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/5 - ((-396)\/140 - -3)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9 + 5)*(-1)\/(-2). Suppose 10*i - 9*i - 73 = -3*b, -4*i - y = -b. Calculate the remainder when 35 is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 36\/(-14) - (-3 + 1). Let k = -70 + 50.8. Let x = k - -20.2. Which is the closest to -1? (a) x (b) n (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -5. Let g be 4\/10 + ((-6292)\/(-55))\/(-11). Put r, -5, g in descending order.\nAnswer: r, -5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of 0 - 5\/2*k**2 - 16*k - 1\/6*k**3. Let x(n) = -n - 4. Let c(d) = -6*v(d) + 7*x(d). Calculate c(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 8 = 5*a, 1 = -a - 2*m - 3. Let f(o) = o**3 - o**2 - 1. Give f(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-18))\/((-36)\/54)*72\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -316 - 763 = 160*h - 77*h - 70*h for h.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*m**2 - 2 + m - 2 + 4 as t*m + v + a*m**2 and give a.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/48 and 101\/336.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -30246 equal to -15924?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 27, -38, -171, -390, -713, -1158?\n\"Answer: -3*o**3 - 16*o**2 + 4*o + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 479 (base 10) in base 7?\nAnswer: 1253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - 17*o**2 - 3*o - 39. Give f(-17).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -22*q**2 + 38. Let g(z) = -9*z**2 + 15. Let r = 3239 - 3227. Give r*g(u) - 5*a(u).\nAnswer: 2*u**2 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 11*q**2 + 5*q - 34. Suppose -k = -2 - 0. Suppose -2*t - 26 = 2*d, -2*t + k*d - 44 = 3*t. What is the remainder when 73 is divided by z(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1545.2839 - 1545. What is z rounded to 3 decimal places?\nAnswer: 0.284","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 197 - 757. Does 12 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5115 and 144183.\nAnswer: 245832015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*(-34)\/56 + (-8)\/(-28). Let s = 2.3 + -0.3. Which is the nearest to 2\/3? (a) s (b) -1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -66.6463789 and -50392.9.\nAnswer: -50459.5463789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*q**4 + 7*q**4 - 11*q**4)*(-2 + 0 - 1)*(16 - 40 + 19).\nAnswer: 135*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3329398100 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1967 + -4?\nAnswer: 1963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34 + -59. Let w = 25.143 + -0.103. Let o = i + w. Put -0.5, o, -0.2, 0.2 in descending order.\nAnswer: 0.2, o, -0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 5. Let u = 3 - d. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 919*k + 144276. Calculate w(-157).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -1, -2, -8 in descending order.\nAnswer: -1, -2, -8, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 16249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 762, 1468, 2068, 2508, 2734, 2692, 2328?\n\"Answer: -9*k**3 + k**2 + 766*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2043, 2061, 2097, 2157, 2247, 2373, 2541?\n\"Answer: i**3 + 3*i**2 + 2*i + 2037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + a - 1. Let z(n) = 4*n**3 - 6*n**2 + n + 9. Let u(h) = -3*c(h) - z(h). Let x be u(5). Is -3 != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 PM and 11:50 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - 7*j - 57. Let w be s(12). Let b(m) = 3*m**2 + m + 1. Let y = 5 - 6. Let c be b(y). Is c <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 770 (c) -6\/71 (d) 8 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d + 1. Let g be 42\/63*3\/(-2). Let n be x(g). Solve -n*i + 2 = -4 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 546 and 18889?\nAnswer: 793338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 52402840 and 408?\nAnswer: 157208520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 7 + 1)*(5 - 12 + 1)*(1 - 1 - 3)*(-2*q**4 - 4*q**4 - 3*q**4).\nAnswer: 810*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14 - (-1 - -3) - 2. Suppose -4*u - 69 = -309. Calculate the highest common factor of x and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 555345 and 6765.\nAnswer: 6108795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4634524 is divided by 1158610.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 1 = 0, -281 = -a - 4*a + b. Suppose a = -5*f + 9*f. Suppose -15*v + f*v + 45 = 0. What is v rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 m when three letters picked without replacement from {k: 1, i: 2, y: 3, a: 3, m: 5, d: 1}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 (base 9) in base 16?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 151 - -835?\nAnswer: 1086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/2 - 44*i**2 - 2*i + 176.\nAnswer: (i - 88)*(i - 2)*(i + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18204.513 months to centuries.\nAnswer: 15.1704275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/9374720 and -103\/4687360?\nAnswer: 9374720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 17669 - -639?\nAnswer: 181a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(228)*-2)\/((sqrt(12) + (sqrt(12) - sqrt(24)\/sqrt(2)))*-2) - ((sqrt(19) + sqrt(475))*-3 + (sqrt(19) + 1)**2*1).\nAnswer: -20 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2 + 896940*z - 100562670450.\nAnswer: -2*(z - 224235)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37834293 is divided by 55?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/10 - (-912)\/60. Suppose 0 = -g + y + 14. List the prime factors of g.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-192)\/6*21\/(-6). Let v = -76 + r. Let u = v + -33. Solve 2*i + 2 = u*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 2*c - 7*c**2)*(-4 - c + 4 + 0 + 0 - 2*c + (-2 + 2 + 1)*(0*c - 4*c + 2*c) + (-c - c + c)*(-3 + 2 + 2) - 543 + 72*c + 543).\nAnswer: -462*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.5, -0.3, -14?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(400)\/sqrt(160) + sqrt(40) - sqrt(1960)*2)\/(((sqrt(200) + (sqrt(200) - (sqrt(200) + -2*sqrt(200))))\/sqrt(8))\/sqrt(5)).\nAnswer: -17*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2155*b = -447*b - 80276 for b.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 0.0065, 2\/9, -0.2 in ascending order.\nAnswer: -2\/5, -0.2, 0.0065, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-17 - -9 - -12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2\/7 + 549*t\/7 - 552\/7.\nAnswer: 3*(t - 1)*(t + 184)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 953632, 1907255, 2860870, 3814477?\n\"Answer: -4*g**2 + 953635*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v*v*v**(2\/5)))\/v)\/(v*v**(-25)*v))\/((v\/v**22)\/((v*v\/(v*v\/v**(-12\/7))*v)\/v)) assuming v is positive.\nAnswer: v**(1396\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/4, 1983, -0.03?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*w**4 + 5360*w**3 - 681555*w**2 - 449312360*w + 449988560 = 0. What is w?\nAnswer: -217, 1, 644","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s**2 - 5*s - 9 + 5*s.\nAnswer: -3*s**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(272) - (sqrt(272)*-2 + 2)**2) + sqrt(272) + -2*(sqrt(272) + 2 - sqrt(272))).\nAnswer: -5480 + 200*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8\/133 in 2\/11, 1, -1, 0.5, -905\/4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -952 + 1402. Does 30 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 265 a factor of 1779727810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence luql when four letters picked without replacement from {l: 1, m: 10, f: 1, u: 1, q: 2, n: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -57 - -101. Let a = 68 - o. Let q = a - 10. What is the least common multiple of q and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2491757 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 5:59 AM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 873504\/7077 + (-5 - 137).\nAnswer: -130\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -6*y**2 + 0*y**2 + y**2 + 4*y**2. Let p = -11 + 17. Let u(w) = -p*w**2 + 12*w**2 + 6*w**2. Calculate v(u(s)).\nAnswer: -144*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5 + 16*n - 35*n + 19*n + 3*n**3 wrt n.\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/15? (a) 3 (b) -2\/13 (c) 26.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11223 and 34443.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -9. Let y = -1.04 + q. What is y rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, 1454, 0 in descending order.\nAnswer: 1454, 5, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 612 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/17 + 8\/221. Let p = -1.2 - -0.2. Let b be -1 + (-1)\/(-2) + 0. What is the second biggest value in b, g, p?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 3*f**2 + 8*f. Let d(y) be the second derivative of 13*y**3\/3 - 3*y + 21. What is p(d(x))?\nAnswer: 2028*x**2 + 208*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 + c - 2. Let q be y(-2). What is the units digit of (0 + -1)*(-5 - q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 6*c**2 - 4*c - 5. Let m(r) = r - 1. Let g be m(-4). What are the prime factors of s(g)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - 3*u - 4. Let i be (-6)\/8*(2 + 2). Let v be (2\/i)\/((-6)\/(-9)). Let r be -1 - 5*(-2 - v). Give s(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o - 5. Let s be (-57)\/(-7) - 3\/21. Let f be b(s). What is the third derivative of -a**2 + 32*a**3 + 4*a**2 - 29*a**f wrt a?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 3*y = -p - 45, -p - 4*y = 40. Let q be (2\/8)\/(65\/p). Let n be (-2)\/3 - 10\/(-6). Is n smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 655055304?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + 20*a**2 + 22*a - 9. Let l be i(21). Let o be (-2 + -2)\/(1\/(0 + -1)). Solve -o*m - l = 8 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 2:12 PM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 2*g + 316, -2*n + 512 = 3*n - 4*g. Let a(x) = x**3 - 8*x**2 + 13*x - 30. Calculate the smallest common multiple of n and a(7).\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 - 4*c + 3. Let a be v(-6). Let o(g) = g**2 + 10*g + 16. Let w be o(a). Solve 2*l = w*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.2 + 77432.03019.\nAnswer: 77428.83019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -128 and 2578.289685.\nAnswer: 2450.289685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3 (b) -0.03 (c) 4 (d) -0.1 (e) -15 (f) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*f + 45*f + 52*f.\nAnswer: -26*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42364 and 280.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 29e2 (base 16) in base 11?\nAnswer: 8068","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 10*i**2 + 674*i - 4558. Give a(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10669.\nAnswer: 47, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 0.9. Suppose 3*y + 2*y + 100 = 0. Let j = y - -39\/2. Which is the nearest to j? (a) r (b) -0.4 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 m when three letters picked without replacement from {i: 3, e: 1, m: 2, v: 1, n: 4, l: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0009601061 rounded to 4 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 1333*k + 38*k**2 + 37*k**2 - 102*k**2 + 29*k**2 in the form g*k + b + d*k**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 66 and 38.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 40 + -5. Let l = c + -35.000041. What is l rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + 17*g**2 - 14*g - 15. Let b be u(-15). Suppose -5*d + 2*j = -3243, 0 = -0*d + d - 4*j - b. Does 6 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/5)\/(j*(j*j\/j**(-1\/9))\/j)*j**4*j**1)\/((j**3*j**(2\/5))\/(j**(-2\/5))**30) assuming j is positive.\nAnswer: j**(-109\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23444?\nAnswer: 2, 5861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.177103 litres to millilitres.\nAnswer: 177.103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6384 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 4*j - 50 = 0, 0*m + 98 = 5*m + 3*j. Let u be (-3)\/9 + m\/12. What is the nearest to u in 0.5, -3\/2, 0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 times -0.09\nAnswer: 0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -103.8999197 - -103.9. Round b to six decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -614 + 614 - 1774161*b**2.\nAnswer: -1774161*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 657, 1314, 1949, 2550, 3105?\n\"Answer: -2*k**3 + k**2 + 668*k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14280030571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 6:17 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + -9. Let a be (-1 - 2\/(-2))\/(-2). Solve 5*k = -5*n - 40, a = -4*k - b*n - n - 20 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/30 - (-126)\/(-27)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmbmbbbjbbdbqj. Give prob of sequence jd.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -6 - 6 - i + 6. What is h(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2\/2 + 11605*b - 26935205\/2.\nAnswer: -5*(b - 2321)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p**3 - p**2 + p. Let t = -10 + 11. Let x be z(t). Let b = 0.2 - 0.1. Put 2\/13, b, x in decreasing order.\nAnswer: x, 2\/13, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*t = -220 + 191 - 753 for t.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 39959711 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17087 - -17298. Calculate the remainder when 2941 is divided by l.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - 3908\/6)*-3. Suppose d = 4*s + s. Suppose -10 + s = 2*r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((81\/6)\/(-9))\/((-56)\/(-16)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00009213 rounded to six dps?\nAnswer: -0.000092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 2*j**2 + 3*j. Let k be y(3). Suppose p = -3*v - 0*p + 776, k = 3*p - 15. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7583 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 474367 >= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.6842 + -4.3158. Let f = 7 - 2. What is the closest to 1\/2 in j, 1\/3, f?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -2*a. Suppose a = -2*y - 3*v + 3, -4*y + 8 = -3*v + 7*v. Is 3 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {z: 3, q: 12}?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d + 0*d - 4*d + (-66 + 16 + 31)*(-4*d + 3*d + 2*d) + (-4*d - d + 3*d)*(-1 + 3 - 1).\nAnswer: -23*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 + 0.167.\nAnswer: 0.567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 2:01 PM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**21\/a)*a**(-22)*a**15\/(a*a**10))**(2\/91) assuming a is positive.\nAnswer: a**(-74\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2. Suppose -17 = 3*b - m, 2*b = 4*b + 5*m - 17. Let c be (2\/b)\/((-2)\/20). Let g(x) = c*x - 2*x + 0*x. Determine s(g(i)).\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*d = -168*d + 28 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 27 = 11*z. Let t(d) = 2*d - 6. Let y be t(z). Solve 2\/3*b**3 - 2\/3*b**2 + 2\/3*b**4 + y - 2\/3*b = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 3 = -2*g. Suppose -g*v + 1 = -2. Suppose 5*z = 2*z. Which is bigger: v or z?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86823673 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of -o**4\/12 - o**3\/2 + o**2. Let s be 16\/12 + 1\/(-3). Let d(q) = -q**3 - 1. What is s*d(f) - y(f)?\nAnswer: -f**3 + 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - 5*k**2 + 6*k + 1. Let a be (-3 - -3)\/((-1)\/(-1)). Suppose 3*o - 5*o - 12 = a. Let l be t(o). Which is smaller: 4\/3 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/5 + 330\/(-25). Let s be (o\/(-7))\/(6\/75). Let g = 134 - 129. What is the greatest common divisor of s and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*x + 12*x = -42. Let d(i) = -8*i + x*i - 4*i + 3*i. Let g(k) be the first derivative of -k**2 - 2. Give g(d(m)).\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 - 2*w + 1. Let n be a(1). Let m be (n + -9)*(-6)\/9. Is 3\/(m\/32) + -2 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 3, 2*o - 6*r - 11 = -5*r. Solve 0 = -2*p - s - 10, p - 2*p + 2*s - o = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36388 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3013513282 and 158.\nAnswer: -3013513124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 464344443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -33*z**3 - 2 - 3695*z + 3695*z + (2 - 4 + 1)*(-2*z**3 + 0*z**3 + 3*z**3).\nAnswer: -34*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.37 - -1.554. Let b = 98.984 - c. Let d = 111 - b. Round d to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 761804101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -130*l - 1297. Let i be q(-10). Solve 3*n + i*o - 24 = 0, 4*n - 5 + 9 = 5*o for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 884, 102, 4 in descending order.\nAnswer: 884, 102, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 PM and 5:54 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -47205 - -84344. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1428 and 38471748.\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) 5 (b) -19 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of t**8\/1176 + 2*t**7\/147 + 19*t**6\/210 + 34*t**5\/105 + 19*t**4\/28 + 6*t**3\/7 + 2*t**2 + 7*t. Suppose c(b) = 0. Calculate b.\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-3) - (-2)\/9. Let r = 8401729\/9 - 933525. Solve -d*y - 8\/9 + 8\/9*y**3 - r*y**2 = 0.\nAnswer: -1, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 273778199 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28210 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 73 = -3*t, 4*t - 155*a + 159*a - 35 = -103 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2085 divide 1008226834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -204611\/12 - -97925\/6. Let w = -729 - m. Let x = -18427 - -405481\/22. What is the common denominator of x and w?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1491.4 times 117?\nAnswer: -174493.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 62923415 to the power of 1\/3, to the nearest integer?\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3 = -1. Suppose -2*q - 10 + d = 0. Let m(x) = -x**3 - 3*x**2 - 7*x - 5. What is the remainder when m(q) is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.11 + -0.22. Put -1, -4\/7, k in descending order.\nAnswer: k, -4\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1618*a - 66*a**3 + 1618*a)*(-2 + 8 + 3) to the form b*a**2 + v + i*a + u*a**3 and give u.\nAnswer: -594","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-284)\/(-416) - (0 - (-12 - 0) - 837\/72)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - -1) + 19 + 0. Suppose 5*h - 6 - 34 = 0. What is the tens digit of (b\/h)\/((-1)\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25 + 6*f - 6*f + 68*f**2 - 70*f**2 to the form d + o*f**2 + n*f and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 180959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 q when four letters picked without replacement from {u: 1, b: 5, q: 14}?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.94 - -0.06. Let w = t + -6. Let a = -3 + 1. Which is smaller: w or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*v + 13*v - 119 - 2*v**2 + 14 - 58 in the form p + r*v**2 + a*v and give p.\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 428.79 - 428.8. Sort 6, h, 4, -1\/3 in descending order.\nAnswer: 6, 4, h, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-25.9\nAnswer: 2.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w + 0*w - 288 = 0. Find l such that 4 + w*l**2 - 6*l - 2*l - 32*l**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -50472 by 1.\nAnswer: -50472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**3 - 1919*h**2 - 384*h.\nAnswer: h*(h - 384)*(5*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 2)*(-11*v - 14*v + 4*v + (0 - 2*v + 0)*(-2 - 9 + 3))*(0*v + v - 2*v + (v + v + 0*v)*(0 + 8 - 4)).\nAnswer: 105*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t**(-2\/7)*t))**(-42))**36*(t**1\/t)**(-35)\/((t**6\/t*t)\/(t\/(t\/(t\/t**2)))) assuming t is positive.\nAnswer: t**1073","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 844 + -823. Calculate the least common multiple of 249 and t.\nAnswer: 1743","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17 - 14*i**4 - 13*i**4 - 38*i**4 + 33 wrt i.\nAnswer: -260*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*h = 68*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (4*(4 + sqrt(28)\/sqrt(4) - (sqrt(567) + -1)**2) + -1)*-6.\nAnswer: -456*sqrt(7) + 13542","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.57, 0, -0.5 in descending order.\nAnswer: 0, -0.5, -3.57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1141\/2 or 572?\nAnswer: 1141\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 - 6 = -4*n. Let d(b) = b + 3*b - 2*b + n - 15*b**2. Let i(p) = 8*p**2 - p - 6. Let t = 0 + 6. What is t*d(j) + 11*i(j)?\nAnswer: -2*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 + 5*h - 2. Let u be t(-4). Let c(l) = l**2 + 6*l + 2. Let j be c(u). Solve -13 = 3*a + j for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12202010100 + 20?\nAnswer: 12202010120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12366?\nAnswer: 2, 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6 + (-1467)\/(-36) - (-2)\/8. Suppose 108*y - a = 103*y. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 4 = 4*q. Let x be (-4)\/8 - (q + 1). Let n = -0.3 - -1.3. Which is the nearest to 1\/2? (a) 1\/5 (b) n (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 PM and 7:46 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*s**3 - 2*s**3 + 0*s**3 + 3*s + 10*s**3 to the form n*s**3 + g + m*s + u*s**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 818527 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 87*s**2 + 477*s + 477. Determine b(-1).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42863 = -4*p + 3845. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3417990 and 2664?\nAnswer: 1517587560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*h - 147 = -2355 + 228 for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0021 - 0.001506. Round u to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18762 is divided by 1181.\nAnswer: 1047","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 749741952.\nAnswer: 2, 3, 37, 52769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - 9*w**2 + 9*w + 37. Give j(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -59100.17 and -452475?\nAnswer: 393374.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 44?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11678 to the power of 1\/2, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cpqc. Give prob of sequence pcq.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -5*n - 3. Let h = 55 - 23. Let a(v) = -h + 27 + 11*v + 12. Let k = 4 + 0. What is k*a(j) + 9*f(j)?\nAnswer: -j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -693 divided by -6.\nAnswer: 231\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/4181 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 24 = -3*l, -37*l + 42*l = 2*x + 3*x + 65 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 89, 1.6, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*t + 1130912 = 7*t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xz when two letters picked without replacement from mqxzeza.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 157 = -39. Calculate the remainder when y is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-5 - 2 - 15).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -102.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - 1) + 2 + 0 + 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 400976, -22, -11 in decreasing order.\nAnswer: 400976, -11, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + -10.5. What is the third biggest value in -1, -4\/5, f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-56)\/(-6))\/(-7)*-3. Suppose f*o + 2*u - 282 = 0, -3*o - 3*u + 143 = -o. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b + 32. Let n be j(-11). Let g be (n - (4 + -8))\/1. What is the smallest common multiple of (12\/(-10))\/(g\/(-245)) and 9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 7:34 AM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 7*m + 6. Suppose 3267 - 12667 = -4*u. Let c(a) = -2*a + u - 4*a - 2355. Determine -5*c(j) - 4*k(j).\nAnswer: 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17816115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**3\/5 + 38*b**2\/5 - 128*b\/5 + 88\/5 = 0. Calculate b.\nAnswer: -22, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2073, -5529, -8995, -12477, -15981, -19513, -23079?\nAnswer: -26685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 + -4 + 9 + -2 + -2 and 1558?\nAnswer: 4674","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -70 + 71. Let h = 1 - 0.9. Let r = h - 0.1. Which is the third biggest value? (a) r (b) w (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 2413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + -62?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*i**3*k**3 + 8965*i**3*k**2*q - 2*i**2*k**2 + 3*i**2 - 2*i*k**3 + 2*i*k**2*q - 18*k**3 - 6 wrt i.\nAnswer: 60*k**3 + 53790*k**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than -56032.407748?\nAnswer: -56033.407748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -35\/6*u**3 + 5\/6*u**2 + 20\/3*u - 5\/6*u**5 - 25\/6*u**4 + 10\/3 = 0. What is u?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n = 8*n + 24. Suppose 12*v = -n + 30. Which is the nearest to v? (a) 0.5 (b) -5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -172 - -298. Is 46 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -3*j - 32, -673*j = -676*j - 4*y - 25. Solve j = -283*m + 284*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllmmlmlml. What is prob of picking 3 l?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1284839.7 microseconds in minutes?\nAnswer: 0.021413995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(637)*1 - (sqrt(637) + sqrt(637) + -2*(sqrt(637) - (-1 + sqrt(637))) + sqrt(637)))*-2)**2.\nAnswer: -112*sqrt(13) + 2564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 4*p**2 + 4*p - 1. Let t be n(-2). Let h be (1 - 1)\/(8 - 9). Suppose -3 = -v, -3*o + 5*v - 5 - 1 = h. Sort t, 4, o in increasing order.\nAnswer: t, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 + 8*w + 2. Let a be o(-8). Put -2, 12, -4, a in increasing order.\nAnswer: -4, -2, a, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -826, -1653, -2478, -3301, -4122?\n\"Answer: n**2 - 830*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -13*m**2 + 14*m + 21. Let f(i) = 7*i**2 - 7*i - 10. Let k(r) = -11*f(r) - 6*u(r). Is k(15) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 - 12*i - 4. Let f(j) = -j**2 - 11*j - 3. Let t(w) = -4*f(w) + 3*k(w). Let d be t(-8). Let p(u) = u + 14. Is p(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42773?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 8\/5 (b) -3 (c) -31 (d) 3 (e) -3\/7 (f) -7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of -25\/16*t**4 + 0*t - 3*t**3 + t**2 - 23\/80*t**5 + 10 - 3\/160*t**6. Let d(j) = 0. Calculate j.\nAnswer: -4, -3, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - a**2 - a + 2. Let d = -321 - -317. Let l(i) = -4*i**3 - 6*i**2 - 4*i - 23. Let v(b) = d*c(b) + l(b). Differentiate v(m) with respect to m.\nAnswer: -24*m**2 - 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112.4267159 rounded to one dp?\nAnswer: 112.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 313288269 to the power of 1\/3, to the nearest integer?\nAnswer: 679","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -177 - -135. What is the hundreds digit of (204\/(-8))\/(m\/1316)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000274143 rounded to five dps?\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 116392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3734671\/355 + (-2)\/10*(-1)\/(-1)?\nAnswer: 2, 5, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 3*k + 28. Let i(p) = -27*p - 113. Let l be i(-4). Sort 3, k, 0, l in ascending order.\nAnswer: l, k, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93816 divided by -2?\nAnswer: -46908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 PM and 6:03 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -31*n**2 + 4. Let h(g) = -340*g**2 + 45. Determine 4*h(a) - 45*v(a).\nAnswer: 35*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.34386 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 738\/(-14) + 9\/((-252)\/8). Let g = 211\/4 + h. Which is smaller: g or -13\/4?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*a**3 + a**3 - a**3)*(-a - 110392 + 110485 - 3*a) to the form s*a + p*a**2 + h + l*a**4 + j*a**3 and give l.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + 8*o**2 - 5*o - 10. Let z be q(7). Suppose -3*t - 4 = l, -3 = z*t + 17. Calculate the smallest common multiple of l and 9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 424 + 1?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -546260 = -12*s + 10*s - 20*s. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of 7*u**3\/6 + 3*u**2\/2 + 3*u. Let w be l(4). Suppose 0 = 4*o + w - 87. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 14) to base 13\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.209 - 34.111. What is w rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 - 21. Calculate the least common multiple of ((-15)\/6 - 3)*-2 and -1 + 1\/(z\/(2\/1)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 12412212?\nAnswer: -12412220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21579 = -5*i + 21031. Let g = i - 306823\/36. Let l = g - -10\/9. Put 2, l, 4\/15 in descending order.\nAnswer: 2, 4\/15, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5022 * 91.\nAnswer: 457002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2295, 576, -1137, -2844, -4545, -6240, -7929?\n\"Answer: 3*o**2 - 1728*o + 4020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -86 - -88. Suppose 2 = r + 2*q - 3*q, 2 = 4*r - q. Solve r = -3*p + y*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 32400000 = -5*g. Round g to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42479, -84958, -127441, -169940, -212467?\nAnswer: -255034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 PM and 1:09 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 83*k**2 + 2*k. Let u(z) = -z. Determine -a(h) - 2*u(h).\nAnswer: -83*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 34*17\/10 - 1\/(-5). Let b = 72 + y. List the prime factors of b.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 - 27*h - 61. Let g be l(29). Calculate the least common multiple of 4 and (9 - 15)\/(g\/5).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12628270 and 2460?\nAnswer: 3106554420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 - -22. What is the remainder when 17 is divided by k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) 0.3 (b) 1\/3 (c) -4 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -126, -131, -136, -141, -146, -151?\n\"Answer: -5*n - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 - 13. Differentiate 3*a**3 - p*a**2 + 2*a**2 + a**2 - 3 wrt a.\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198202918 a multiple of 272?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -39*x. Let l be p(-1). Let d = l + -12. What is the remainder when d is divided by (3 - (-2 - -6)) + (-36)\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*f**4 - 60*f**3 + 145*f**2 + 60*f - 140 = 0. What is f?\nAnswer: -14, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -214*m**2 + m - 5*m + 4*m + 0*m.\nAnswer: -214*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/8 + 1)\/(10*2\/20)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 10 - 8*b)*(0 + 5 - 3) + 34*b - 16*b - 37*b.\nAnswer: -35*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 - 0.1. Let o = 0.5085 - 0.2985. Which is the nearest to w? (a) o (b) -4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/14 + -2 + 1 + -1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18\/(-18)*0\/(-2). Suppose i = -2*w - 4*j + 20 + 12, -5*w + 25 = -j. Solve -v = -w*v + 25 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 4) to base 5\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/21284 and 20\/5321.\nAnswer: 21284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 1, 2\/13, -2\/9, 0?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 1011000100000111110010000?\nAnswer: -1011000100000111110001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 17*r. Suppose 5*c - 29 = 26. Let l = c - r. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.04 - 0.06. Which is greater: a or -5\/6?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 4*x - s + 20, 23 = -5*x - 3*s. Let v be (-7)\/(-2) - x\/8. Suppose -8 = -5*m - 3, 65 = v*j + m. What is the highest common factor of 176 and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34844.\nAnswer: 2, 31, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + ((-2648)\/296 - 10).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 78, 156, 234, 312?\nAnswer: 390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -204, -205, -206, -207?\n\"Answer: -s - 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 102\/(-28)*1\/(-2). Let q = v - 11\/7. Which is smaller: -1 or q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -23640\/7 greater than -3377?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8267 + -8289. Sort w, 4, 50 in descending order.\nAnswer: 50, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 e, and 2 q when four letters picked without replacement from {v: 3, e: 1, q: 5, u: 3}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = v - 12, -v - v = -5*p - 28. Let h be (-36)\/(-1)*2\/p. Let u = 36 + h. Is u a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 33 + 23 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.5935 - 0.3935. Which is the nearest to 0.1? (a) z (b) 3 (c) 4 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3031?\nAnswer: 7, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 2*x - 75, -g - 2*x - 5 + 22 = 0. Solve 7*b = -22*b + g for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -27, -21, -13, -3?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of -z**4\/12 + 47*z + 34. Let b(l) be the first derivative of s(l). Let c(v) = -11*v. Calculate b(c(o)).\nAnswer: -121*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4312.1 + 4312. What is the second smallest value in -0.3, 2, q, 89?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 358\/5 (b) -0.3 (c) 0.3 (d) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1597 = -133*d - 373 + 108 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39 - 35 - (1 + 4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -49056.83 + 48844. Let u = k - -211. What is u rounded to 1 dp?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 15) to base 9\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 6:31 PM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - ((-4 - -34) + -22 + -17)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jvkkk. Give prob of sequence kvjk.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 242 - 242. Solve -4*a - 5*z - 18 = w, 4*a - 3*z - z = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + -342427019150.\nAnswer: -342427019149.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/9 + (-330)\/(-540). Let v(d) be the first derivative of -2 - i*d**6 + 0*d + 3\/4*d**4 - d**2 - 1\/5*d**5 + 1\/3*d**3. Factor v(l).\nAnswer: -l*(l - 1)**2*(l + 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3*g = 25. Let n(f) = -3*f + 137. Let c be n(43). Calculate the common denominator of (g*(-138)\/c)\/(-9) and -3\/34.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 - 19*d + 90. Let j be u(8). Let x(q) = q**3 - q + 2*q - 6*q**j - 27 + 5*q**2 - 2*q**3. What is x(0)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 27666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + 12*h - 6. Let m(g) = g**3 - 4*g**2 - 2*g - 4. Let t be m(4). Let w be n(t). What is the remainder when 20 is divided by 75\/7 - w\/21?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/7))**34)**(1\/27) assuming s is positive.\nAnswer: s**(-68\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + j + 3)*(313 - 17*j - 313).\nAnswer: -17*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 488.6 + -489. What is the second smallest value in a, -0.2, 5, -8?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -12*x + 19. Let h(d) = -12*d + 16. What is -5*a(i) + 6*h(i)?\nAnswer: -12*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of 0*c**7 + 0*c**5 + 0*c**3 + 1\/12*c**4 - 1\/84*c**8 + 0 - 2*c**2 + 0*c + 0*c**6. Find the second derivative of z(q) wrt q.\nAnswer: -80*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h + 1113 + 2*h - 4*h - 7*h + 5*h.\nAnswer: -6*h + 1113","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 10:54 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00063124 rounded to six decimal places?\nAnswer: -0.000631","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 221579 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**2 + 2*j - j**2 + 5*j**2 as h*j**2 + m + y*j and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 3*t**4\/2 + 33*t**3\/2 + 48*t**2 + 42*t = 0.\nAnswer: -7, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10.3 + -10.3. Put -2, -0.2, a, -0.02 in decreasing order.\nAnswer: a, -0.02, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 200*d**4 + 9*d**2 + 21890 wrt d?\nAnswer: 800*d**3 + 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 10 = -4*r, 3*r - 6 = 5*q + 8. Let k(o) = 4 - 2*o**2 + 4*o**2 - 2*o - o. Let b be k(r). What is the greatest common divisor of b and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1003004 + 22?\nAnswer: -1002432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 4*k**2 + k. Let i be n(-1). Let x be (-4*4*(-3)\/6)\/2. Is (i - 12\/x) + 127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, j: 1, z: 4, k: 1, g: 4, c: 1}. Give prob of sequence jkzz.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 f when four letters picked without replacement from fffqqcq?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 PM and 12:22 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 208575437591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1211359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134 is divided by 28?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) -28 (b) 0 (c) 5\/3 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 3*z - 2*x - 6, 0 = -2*x - 4. What is the least common multiple of z and (-1)\/1*(0 - 20)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 + 3*g + 336. Let y be x(0). Suppose -o + 438 = -y. Let f = o + 296. Round f to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 0*j - j - 4 = 0, -42430*u + 42427*u = 14*j + 56 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8793, -17578, -26363, -35148, -43933, -52718?\nAnswer: -61503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 PM and 6:28 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of -411*n**7\/7 - n**6\/3 - 2*n**3\/3 - 633*n**2\/2 + 218. Find the third derivative of k(y) wrt y.\nAnswer: -49320*y**3 - 120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 6*t**2 + 523*t - 472. Give q(-88).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*x + 115 = 155 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 138 and 759?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -168 and -0.984.\nAnswer: 165.312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 16) to base 10.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -4*k - 159 + 843, -4*k + d = -696. Calculate the greatest common divisor of k and 1425.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/(-12) + (1 - 2). Let r = 6.3 - 6. What is the nearest to 0.1 in r, 0.4, g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*q - 27*q - 52 = -4*g - 37*q, -26*q = 182 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 416.7818s?\nAnswer: 416781800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -559, -583, -623, -679, -751, -839?\nAnswer: -943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3789100 = -59*l + 58*l. Round l to the nearest one hundred thousand.\nAnswer: 3800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 275768 and 28?\nAnswer: 1930376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 8388, 33482, 75300, 133836, 209084, 301038, 409692?\n\"Answer: -c**3 + 8368*c**2 - 3*c + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -205 times 0.06\nAnswer: -12.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18867220?\nAnswer: 2, 5, 31, 30431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 7:17 PM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3249.591 + -3246. What is t rounded to one dp?\nAnswer: 3.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 184 = 58. Calculate the common denominator of 71\/28 and (-3)\/(-2)*(-180)\/o.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 927 and 187902?\nAnswer: 19353906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 225295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -7, -1\/3, 1, 0.004?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 - 18. Suppose -12 = v + 3*x, 4 = 3*v + 2*v - x. Suppose h = -4*w - v*w + 500. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 - 4)*(-7 + 11 - 18)*(339*w**3 + 134 - 134) to the form n + s*w**3 + u*w**2 + g*w and give s.\nAnswer: 9492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1870 divided by -187?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*l - 7*l - 7*l.\nAnswer: -9*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 879800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -113 - -137. Solve 17*n - 5*n = v for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - 40?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 24*t**3 - 42326*t**2 + 1 + 42326*t**2.\nAnswer: 24*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s + 58*s**3 - 87*s**3 - 112*s**3.\nAnswer: -141*s**3 - s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 221740 rounded to the nearest 10000?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 270, 268, 264, 258, 250?\n\"Answer: -o**2 + o + 270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 c when two letters picked without replacement from jvvuhsccu?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2\/7 - 69*g\/7 - 18.\nAnswer: -3*(g + 2)*(g + 21)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6950 and 4250.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10*k*x**3 - k*x*y + 13*k - 2*x**3*y + 3*x**3 + x**2*y + x**2 + 14*x*y wrt y?\nAnswer: -k*x - 2*x**3 + x**2 + 14*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(153) - sqrt(153)*3))\/(sqrt(9) + sqrt(9) + (sqrt(108)\/sqrt(4))\/sqrt(3)).\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 20 = 2*z + 5*y, -2*z - 14 = 5*y. Let h be (-9)\/(-180)*(-15)\/z. What is the second smallest value in 1, -4, -2\/7, h?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19825?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2075037 + 64?\nAnswer: -2074a83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of q**4\/4 + 7*q**3\/3 - q**2 - 7*q + 4. Give p(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -6*u + 68. Let r be w(11). Let o = -7.3 + 7. Let g = -8.2 - -8.3. Sort o, -1, g, r in descending order.\nAnswer: r, g, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, e: 3, p: 9}. Give prob of picking 3 y.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -300 (base 5) in base 4?\nAnswer: -1023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, s: 1, v: 1, r: 1, k: 5}. Give prob of picking 2 j.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least -53\/11614?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) 2\/9 (b) -0.5 (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2916431 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2381 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + 7*s**2 - 8*s + 4. Let y be f(5). Suppose x = -2*o + y, -3*x + 3 = 3*o - 36. Does 7 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7)\/15*-18*18\/54. Which is the smallest value? (a) 4 (b) -4 (c) g (d) -2\/17 (e) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-428)\/(-4173))\/(((-352)\/286)\/8)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 259215?\nAnswer: 3, 5, 11, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 + 34*v + 38. Let n be ((-8)\/6)\/((-19)\/456) + 3. Let x be u(n). Solve -4*q = -x*p - 3 + 10, q - 8 = 4*p for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1 (b) 5310 (c) 0.04 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3572*k - 58949 - 27419 = -2663*k + 837*k for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 204.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 401 is divided by 368?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 36103 + 68?\nAnswer: 36171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3735065 is divided by 360?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddwwgdwdwvdvvdw. Give prob of sequence vwvg.\nAnswer: 1\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f\/(f*f**(-5\/4)\/f)))\/f*f*f)\/f)**(-28)*(f**(-5))**(-3) assuming f is positive.\nAnswer: f**50","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 10. Let f = 0.5 + -2.5. Which is the second biggest value? (a) q (b) f (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 69*t + 774. What is the units digit of r(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 872040 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(637) - (3 + sqrt(637))*6 - ((sqrt(637) - (sqrt(637) + 3)) + 1))**2.\nAnswer: 1120*sqrt(13) + 16184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 148, 585, 1312, 2329, 3636, 5233, 7120?\n\"Answer: 145*r**2 + 2*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.7 - 1.4. Let v = f - -0.1. Which is the biggest value? (a) -4 (b) 0 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -1228\/19 (c) -4 (d) 4 (e) 19 (f) -2 (g) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + c = -2*c + 42, -3*t + 4*c + 80 = 0. Let a(n) = 69*n**2 - 1241*n - 6. Let g be a(18). Calculate the highest common factor of g and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of s**8\/1176 + 8*s**7\/735 - s**6\/20 - 94*s**5\/105 - 40*s**4\/21 - 11560*s**2. Let n(f) = 0. Calculate f.\nAnswer: -8, -4, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47 - 57. Let s be r\/15*(46 + 2)*-1. Factor 640*j - 4*j**5 - 88*j**4 - 240*j**3 + 99*j**2 - 140*j + s*j**4 - 299*j**2.\nAnswer: -4*j*(j - 1)*(j + 5)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -54*c + 20. Let l(p) = 53*p - 16. Calculate 5*f(h) + 6*l(h).\nAnswer: 48*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16 - 13 - (-1 - -3). Put -4, -5, t, 3 in descending order.\nAnswer: 3, t, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 10*r**2 + 18*r - 44. Suppose 67*t = 4*x + 65*t - 30, -5*x + t + 42 = 0. Give d(x).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 36, 71, 118?\nAnswer: 177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 + 51*k + 148. Give m(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 - 14. Let p(a) = -4*a**3 + a**2 - a - 1. What is the lowest common multiple of p(-1) and m?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5500347.\nAnswer: 3, 541, 3389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*v - 45 = -4*v. What is the tens digit of (-1 - v - 0)\/(10\/2230)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 760.8639 meters in micrometers?\nAnswer: 760863900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 8, 26, 62, 122, 212, 338, 506, 722?\n\"Answer: j**3 + 3*j**2 + 2*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13990630 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, e: 3, m: 3, f: 1, q: 3, h: 2}. Give prob of sequence hef.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -2 (b) -108 (c) 0.04 (d) 1 (e) -3\/71\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.2 - 6.4. Let v = z + 2.2. Are v and 2\/15 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(-16) + -1*1\/2. Let p(k) be the first derivative of 5\/3*k**3 + j*k + 0*k**2 + 5 + k**4. What is the third derivative of p(h) wrt h?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32958 <= 32974?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - (-3 + -1))*(3 - 5). Let u(r) = -38*r + 36*r - 5 - 2 - 2 + 0. Determine u(z).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 + -973*(-4)\/((-16)\/(-12)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1663 - 1852 + 3108)*(-i + 2*i + i + (-1 - 2 + 5)*(4*i - 5*i + 2*i)).\nAnswer: -1628*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, x: 13, k: 3}. Give prob of picking 3 x and 1 k.\nAnswer: 429\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -126 - -124. Suppose t = 4*j + 10, t + 4 = -t + 2*j. Let p be (4 + h)\/((-3)\/t). Solve 5*b + 10 = -5*x, -12 = p*x - 2*x - 2*b for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*p - 22*p = -70*p + 7*p - 144 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -40.24 and -130346.889.\nAnswer: -130387.129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6636689 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48566)\/62442)\/((1\/9)\/(-1)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -11*t**2 + 5*t. Suppose 2*p + 13 = -m + p, -3*p - 23 = m. Let a(c) = -7*c**2 + 3*c. Determine m*a(z) + 5*x(z).\nAnswer: z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -4 + ((sqrt(32) + sqrt(32)*-4)*6 + sqrt(32))\/sqrt(4)*4*-6.\nAnswer: -3 + 816*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9\/77 (b) 11 (c) -4\/5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.312023 + -0.3.\nAnswer: -3.612023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -687*p - 11916 = -693*p. Let w = p - 840. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12232103 to the power of 1\/3, to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -4*t**3 - 87*t**2 - 201*t - 1173. Give a(-20).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 514440016 divided by -5\nAnswer: -514440016\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-156)\/(-13)*((-4)\/(-6))\/((-1472)\/(-48))\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 494373 to the power of 1\/4, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -5*a + 21, 0 = 3*a - 0*a - 5*q + 5. Suppose -a*f + 24 = -36. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 13662.71739s?\nAnswer: 0.022590471875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -107, -215, -323, -431, -539, -647?\nAnswer: -755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1694)\/(-6))\/((-8)\/(-408)). What is the common denominator of (-2)\/9 + y\/(-612) and -73\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 438 + -413. Suppose -11*r - u*r = -7*r. Which is the nearest to r? (a) 5 (b) -2\/15 (c) 1\/21 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n**3 + 9*n**2 + 6*n + 10. Let f be m(-4). What is the highest common factor of 2 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2016 and 16128.\nAnswer: 16128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 + -11. Suppose -2*j = -t*j + 52. Let w = j - 6. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 + 19. Let c(p) = p**2 - 8*p + 5. What is c(k)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1241687\/712734 + -3\/10799. Calculate the common denominator of g and -65\/154.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (1 + sqrt(153) - (1 + sqrt(17) + -1*sqrt(17)))**2 + (sqrt(187)\/(sqrt(176) - sqrt(11)) - (sqrt(17) + -1 + 4))**2*-5.\nAnswer: -20*sqrt(17) + 659\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 + 3.9. Let v = -3.89 + 0.11. Let s = -0.22 + v. What is the smallest value in 0, i, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7165*m + 12895 + 173395 for m.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - 2)*-1 - 3. Suppose -5 = -4*i + 3. Let r = -7 + i. Sort r, 0, s.\nAnswer: r, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zszzzzzzzzzzzszzzz. Give prob of sequence zzsz.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -12658094, 1 in decreasing order.\nAnswer: 1, 0, -12658094","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20043 and 438719.\nAnswer: 3948471","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -280 + 394. Calculate the remainder when j is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5732?\nAnswer: 2, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -942596 and -10.3.\nAnswer: 9708738.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by -10824035\nAnswer: 8\/10824035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 4*i + 11 - 5*i + 2*i. Suppose 0 = 4*d, 2*h + 6*d + 10 = d. What is the units digit of w(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 + m. Let g = -8 + 10. Suppose 3*k - g = 2*k. What is x(k)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 45*i**2 + 1. Let y be b(-1). Let x(h) = y*h - 7 - 46*h + 3*h**2. Let o(n) = n**2 - 3. Calculate 7*o(u) - 3*x(u).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (3 + (2 + sqrt(72))*-1 + 1 + sqrt(72) + 3 + sqrt(72))**2 + 0.\nAnswer: 60*sqrt(2) + 93","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 - 2*c - 7. Calculate the remainder when l(-11) is divided by 29.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1638643 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11094759*n**3*o - n**3 - 1787*n**2 - 31*n - 1 wrt o.\nAnswer: -11094759*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 177 a factor of 12524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1532 + -1528. Solve -2*v + w*v - 12 = 4*n, 4*v - 9 = 3*n for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34*-16\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3*t**3 + 97*t**2 - 375*t + 137. Determine u(28).\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 37 (b) 4.3 (c) 4 (d) -4 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22919811*b*q - 6435*b - 673 wrt q.\nAnswer: 22919811*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 240 = 240. Suppose v = -4*s + 1390 + 2326. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1907.52295 rounded to the nearest 100?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of 0*i - 2\/3*i**2 + 28 - 1\/9*i**3. Factor m(k).\nAnswer: -k*(k + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40257.17 decades to years.\nAnswer: 402571.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2130 - -20022?\nAnswer: 11232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 76043.04 litres?\nAnswer: 76043040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 17099750 divided by 683990\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 11, q: 1}. Give prob of sequence oo.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5071, 10295, 15521, 20749, 25979?\n\"Answer: h**2 + 5221*h - 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8938 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8296)\/(-16) + (-1)\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1181041?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 44 + 48 - 134 + 42 + 9868*l as m*l + k and give m.\nAnswer: 9868","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-2\/7))\/n**3*(n*((n\/n**(2\/3))\/n)\/n)**(-1\/43))\/((n**1)**(-38)\/(n\/(n*n\/n**(-2\/5)))**33) assuming n is positive.\nAnswer: n**(-44693\/4515)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 275 - 181. Let h = -89 + s. What is the nearest to -1 in -5, h, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*b + 44*b + 41*b - 29*b - 100*b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k**2\/8 + 18808967*k + 707554479214178 = 0. Calculate k.\nAnswer: -75235868","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 10:53 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1052 divided by 1146.\nAnswer: 526\/573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lxxx when four letters picked without replacement from xljllxxxxjxojd.\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 5*o - 5. Let v be h(3). Suppose u + v = -u, 4*k + 7 = -3*u. List the prime factors of ((4 - 1)\/9)\/(k\/30).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1820*d**3 + 59*d**2 - 4*d**2 - 57*d**2 + 542*d wrt d?\nAnswer: -10920*d - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3 = 5. Suppose -z*s + 28 = -s. Solve -2\/5 - 2*u**s + 4\/5*u**3 + 12\/5*u**2 + 2\/5*u - 6\/5*u**5 = 0 for u.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(2\/3))**(-1\/28)*(j*j**(1\/3))**(-33)*j*j\/j**(-5)*j*j\/(j**(-1\/3)\/j)*((j*j**0*j)\/j)**(-6\/11) assuming j is positive.\nAnswer: j**(-31667\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that w**3 - 14*w**2 + 60*w - 72 = 0.\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 7*a**2 - 8*a + 11. Let o be (17\/17)\/((4\/14)\/2). Let n(x) = -8*x**2 + 9*x - 12. Let d(g) = o*r(g) + 6*n(g). Let s(z) = 1. Give d(y) - 5*s(y).\nAnswer: y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 9, 151 = f + 4*a - 801. What is the hundreds digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2520312 to the power of 1\/3, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*y - 5*b - 17710 = 18*y, 4*b + 17712 = 5*y. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**2 + 116*a + 617. Calculate the remainder when 1059 is divided by w(59).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -415.469 - -49730.2\nAnswer: 49314.731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 5*r = -40, 4*r + r = 2*x - 30. Let a be (1\/3)\/((-7)\/(-63)). Find z such that -3*z**3 - 1 + 4*z**2 - a + x*z**3 - 2*z = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 329863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)\/(sqrt(36)*-5) - 1*(sqrt(891) + 0))*-6 + 2.\nAnswer: 2 + 273*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, b: 6}. Give prob of picking 3 b.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.1, 35, 0.3, -20.\nAnswer: -20, 0.3, 1.1, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-3 + (-14)\/(-4)). Let m(z) = -2*z**2 - 11*z + 11*z**g - 4 + z**2. Let s(l) = -2*l**2 + 2*l + 1. Calculate 2*m(i) + 11*s(i).\nAnswer: -2*i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -116*x**4 + 18*x**3 - 8*x**2 - 51*x + 212?\nAnswer: -1392*x**2 + 108*x - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/((d*d**(-1)\/d*d)\/d)*d))\/d)**(-11)\/((d*((d\/d**(2\/9)*d)\/d)\/d)\/(d*d*d*d**(1\/2)*d)) assuming d is positive.\nAnswer: d**(661\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -58173 or -58171?\nAnswer: -58173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (228\/30)\/((-1)\/(-140)). Let s(r) = 1070*r - i*r + 23 - 2*r**2 + r**2. Let h be s(8). Calculate the highest common divisor of h and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - -6. Suppose 37 = 5*x + 4*n, -n = 4*n - 15. Solve 0 = 4*k - 2*g - v, k - 5*g + 8 = x*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1320)\/1650)\/(8\/350)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/5 - 4672*d\/5 - 27672.\nAnswer: -2*(d + 30)*(d + 2306)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 7:24 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -71 - (-80 + 49 + -5)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 104*x**3 - 4*x**2 + 15*x - 23. Determine r(2).\nAnswer: 823","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(847) - (sqrt(847) + 1)))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*r**4 + 2*r**4 + 6*r**4 - 6*r**4 - 7 wrt r?\nAnswer: 24*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/6)\/(5\/(-15)). What is the tens digit of (2 - i) + (26 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5592*b**4 + 2*b**3 - 6*b - 472819?\nAnswer: -22368*b**3 + 6*b**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j + 0 + 0 + j + j - j + j + 2 - 2 - j + 0*j + 0*j + (2*j + 0*j + 0*j)*(-1 + 2 + 0))*(8*j + 2*j - 4*j).\nAnswer: 42*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 - 15*j + 33. Let y be u(12). Let g be -2 + (-1 - -5) - -1. Suppose 3*w + w = -8. Sort g, w, y in ascending order.\nAnswer: y, w, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 68*o**4*z**2 - 313*o*z**2 + 11715*z**2 + 2*z wrt o.\nAnswer: 272*o**3*z**2 - 313*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 380706?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -9765480 from 23.8.\nAnswer: 9765503.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hqfffqhhfeftffftftep. What is prob of sequence htpf?\nAnswer: 9\/12920","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t + 11. Let s be x(7). Suppose -s*n - 3*r + 11 = 0, 0 = -3*n - 0*n - 3*r + 6. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9194*b**2*l - 1386*b*l + 2*b wrt b.\nAnswer: 18388*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 2162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 53214 - 4?\nAnswer: 53210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 290144\nAnswer: 1\/290144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 708*d = 51*d - 50342 + 4352 for d.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 30*k**2 - 162*k + 3566. Calculate i(-37).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 13*c**2. Let n(v) = -15*v**2 - 7. Give k(n(o)).\nAnswer: 2925*o**4 + 2730*o**2 + 637","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 38 + -2 + 4 + (-22 - -21). Let h be (12\/16)\/(6\/(-310)). Let c = h + r. What is the second smallest value in 1, c, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in -4, 231, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + i + 60 = 0. Let u = -61 + 28. Let y = i - u. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqiiqqqq. What is prob of sequence qqiq?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + -11. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9630193?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 856392715 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x. Let k(a) = a**2 - a + 715. What is k(p(f))?\nAnswer: 4*f**2 - 2*f + 715","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a**(-5\/2)*a)\/(a\/a**(1\/6)*a))\/((a*a*((a\/a**(-10)*a*a)\/a)\/a*a)\/(a\/(a*a*a\/a**12))) assuming a is positive.\nAnswer: a**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 320 = 4*l - 3*h, -3*l + 230 = -4*h. Is l a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**3 - 4*a**3 + 3*a**3)*(-2*a - 2 + 2) + (0 - 2*a + 0)*(250*a + 160*a**3 + 1 - 250*a).\nAnswer: -318*a**4 - 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199659?\nAnswer: 3, 66553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/21 in -3, -0.01, 5?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1444, 0, -4, -13, -3 in ascending order.\nAnswer: -13, -4, -3, 0, 1444","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0031734 plus -424459?\nAnswer: -424459.0031734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 245 = 5*s, -4*u + s = 48 - 287. What is the highest common divisor of u and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - 24 - 270\/(-20))*-4?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 11 = 9. Suppose 4*h = -4, -y*i + 29 = -2*h - 57. Calculate the greatest common factor of 105 and i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 4*c + 30 = 0, 5*s + c + 31 = 1. Let f(v) = -4*v**2 + 184*v + 7. Let t be f(46). Put -2, s, t, -1 in decreasing order.\nAnswer: t, -1, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9644 is divided by 2410.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 + 37*l - 326. Let u be s(21). Solve 0 = -h + m - 3, -h + u - 11 = m for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*c - 327*c + 27974 = 89*c - 51*c for c.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15051*l + 87889 = 171496 + 1120473 for l.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**3 - 124*s**2 + 128*s.\nAnswer: -4*s*(s - 1)*(s + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -4*k + k - 9, -2*q = 3*k + 11. Suppose q*d + 232 - 232 + 2*d**2 = 0. Calculate d.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1159383 divided by 386461\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 59 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30 + -22. Let n(m) = m**3 - 6*m**2 + 7*m - 2. Calculate the least common multiple of n(5) and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 50 or -7\/16?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5 - 15*l**2 + 246*l**2 + 78*l**2 - 1814*l**3 - 2*l - 660*l**2 wrt l.\nAnswer: -10884","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 98*y**2 + 10*y - 5. Let h be u(10). Suppose a - h - 34105 = 0. What is a rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1397? (a) 1\/30 (b) -4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -64*o + 61*o, 3*u = -4*o + 28. Solve 0 = -15*s + 19*s - 4*h + 4, 0 = 2*s - o*h + 4 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 673 - -1907. Is a a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, -96, 4\/3, -0.15?\nAnswer: -96","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4340 and 924?\nAnswer: 143220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -14*i**5\/5 + 10*i + 1. What is the first derivative of g(b) wrt b?\nAnswer: -56*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ipuu when four letters picked without replacement from {p: 5, i: 2, f: 5, u: 3}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -573144 - -0.4.\nAnswer: -573143.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 216425 and -0.5.\nAnswer: -108212.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + 6. Let n = 27 + -27.1. What is the closest to n in -4, g, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -54*c - 47. Let n = 41 + -48. Is d(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5509, 10510, 15511, 20512, 25513, 30514?\n\"Answer: 5001*i + 508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25060987\/30 - 835201. Let g = 484\/3 - l. Calculate the common denominator of g and -24.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**3 - 4 + 4 + (g + 0*g + 2*g)*(-g**2 - g**2 - g**2).\nAnswer: -11*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {q: 1, s: 1, j: 6, n: 1, v: 2, x: 4}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 134 - -34?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -4*m. Let a(i) = 11427196*i + 1. Give a(s(z)).\nAnswer: -45708784*z + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 270\/(-12) - -3*(-70)\/75*-5?\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(9\/4))**(-7\/6) assuming x is positive.\nAnswer: x**(-21\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three thirds of a day in minutes?\nAnswer: 20640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 + -24. Let k(b) = n*b - 2*b + 25 - 27 + 3*b. What is the units digit of k(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 46 + 2 = 2*n, 3*a = -3*n + 24. Suppose 33 = 3*m - a. List the prime factors of m.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -86169 (b) -3\/4 (c) 62\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + 4. Let q be n(2). Let l(h) = 0*h - q - h + 2*h. Calculate l(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2026.4997 months to years.\nAnswer: 168.874975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -684*y = -679*y - u - 52371, 0 = 2*y + u - 20954. What is the thousands digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.06 + -0.74. Let r = 0.392 + -146.192. Let a = -146 - r. Sort -2, u, a.\nAnswer: -2, u, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -47669556*p**2 - 424109*p - 12.\nAnswer: -95339112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 6*m**3 - 3*m**2 - 19*m + 5. Let n(c) = -3*c**3 + 2*c**2 + 9*c - 3. Determine 3*j(v) + 5*n(v).\nAnswer: 3*v**3 + v**2 - 12*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 282180.7 centuries to years.\nAnswer: 28218070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 q, and 1 p when three letters picked without replacement from lepql.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/4*-2*(3752\/(-7))\/((-40)\/20).\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 4*l - 6 = 0. Let b = -0.82 - -1.02. What is the second smallest value in l, 0, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52611934?\nAnswer: 2, 53, 496339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + -5*70\/(-25). Let v = -154 - -224. What is the highest common factor of v and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -645*p**3 + 105*p**3 - 6*p**2 + 6*p**2.\nAnswer: -540*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 PM and 10:46 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 10 + (-2 - 1) + 6 - 18\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from lrlllllllllllprll.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - c = 0, -4*n - 5*c + 985 = 966 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**15)\/q)\/q)\/q*q**(-2\/61) assuming q is positive.\nAnswer: q**(791\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8730 or 26192\/3?\nAnswer: 8730","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 2*i**5\/9 + 428*i**4\/3 - 515124*i**3 - 23203576*i**2\/9 - 10831226*i\/3 - 1547500 = 0.\nAnswer: -1875, -3, -1, 1238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 56136033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15796 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 4*o + 100. Let n = 3 - 5. Let t be o*-2*4\/n. What is the greatest common divisor of 10 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + u + 12*u + 3.\nAnswer: 13*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -127.43 to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*f + 494*f + 37312 = 178*f for f.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/4 + (-13)\/(-4)*10. Let n(a) = -33*a. Let m be n(-1). Calculate the greatest common divisor of m and x.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -30*i + 54. Find the second derivative of -28*w**2 + 0 + 7*w**2 - 15*w**i + 10*w - 34*w**2 + 15 wrt w.\nAnswer: -140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 250249266*a**3 - 47765521*a**2?\nAnswer: 1501495596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-4) + (-93)\/(-12). Let w(a) be the third derivative of 0 + 0*a - a**3 + 3\/20*a**5 + 85*a**2 - 1\/120*a**6 - 1\/3*a**4. Determine w(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 - j + 7. Suppose -7*g = -3*g. Suppose g = 4*c - c. Calculate a(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 124972?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -418 + 27*a + 418.\nAnswer: 27*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, n: 3, l: 4, r: 1, z: 1}. What is prob of sequence al?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 35, 3, 4, 342, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32049 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 858217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-684)\/(-270) - 30\/25.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 2:05 PM?\nAnswer: 2:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1232 is divided by 88.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3044 - -1172?\nAnswer: -1872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*y = -132352 - 47520. What is the remainder when y is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = 5*n + 20, j + 11 - 3 = -2*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -83.722, 5, -2 in descending order.\nAnswer: 5, -2, -83.722","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*w + 0*w + 7*w + 7*w + 1 - 2*w.\nAnswer: 33*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -4*l**2 + l + 25. Let y(m) = 2*m**2 - m - 25. Calculate -2*a(p) - 3*y(p).\nAnswer: 2*p**2 + p + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**2 + 12*n - 17. Give d(8).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2724 and 364744?\nAnswer: 248390664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 99282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**2. Let v(q) = 599*q. Calculate v(a(l)).\nAnswer: 1198*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 - 9*j**2 - 10*j. Let t be f(-8). Suppose 2*r - 2*i = 0, 3*r - 12 = -2*i + i. What is the remainder when t\/(-10)*(-6 + 1) is divided by r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -174070?\nAnswer: 174068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -272*s + 8. Let g be y(3). Let x = -568 - g. Suppose 0 = -3*k - k + x. List the prime factors of k.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(171) - (sqrt(171)*3)**2) + -1 - (sqrt(171) - (sqrt(171)*1 + sqrt(171) + 1))).\nAnswer: -18*sqrt(19) + 4617","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 9 - 7, -3*g = -4*q - 12. Suppose 4*i + 23 = 7, 4*y + 3*i = 40. Let p = y - q. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 14*l**2 + 12*l + 19. List the prime factors of u(13).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/4*(186\/(-30) + 7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 10. Suppose -5*p = -77 + g. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7)\/(-2) - (-6)\/12. Suppose 3*c + s - 16 = 0, f*c + 5*s - 3*s = 24. Solve 4*d + 0*h = 2*h + 16, -c*h = 2*d + 2 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -61. Let f(m) = -2*m + 3. Calculate the remainder when h is divided by f(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 481058559?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24*4\/3 - -1.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*q - 2*q. Let b(x) = -1 + 16*x - 15*x - x**2 + 0*x**2 + q*x**3. Let a be -2 - 1\/(2\/(-6)). Determine b(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.3 - 497233\nAnswer: -497230.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-173950)\/30)\/7 + -11. Is t > -840?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16.5 + -16.7. Let x = -0.14 + -2.86. Put -2, 3, x, f in decreasing order.\nAnswer: 3, f, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 84267.34 to the nearest 1000.\nAnswer: 84000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 7. Suppose -3 = -b - 1. Let h be (-2)\/(-28)*(-4 - b). What is the second biggest value in 1\/8, x, h?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -226983586 by 619.\nAnswer: -366694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1191598902?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3934?\nAnswer: 2, 7, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4907 is divided by 2452.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/1517 or -1?\nAnswer: -2\/1517","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 - 21702?\nAnswer: -21708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(720) + (sqrt(720) + -4*sqrt(720) + sqrt(720))**2 + (sqrt(80) + 4 - sqrt(80)).\nAnswer: 12*sqrt(5) + 2884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 48148 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -4*d + 144, -d - 4*d + 2*v = -197. Let x = d + -4. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106097*c**2 - 212198*c**2 + 106098*c**2.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 11:54 AM?\nAnswer: 6:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*m*x - 442509*m + 40766*x - 1 wrt m.\nAnswer: 2*x - 442509","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/((r\/((r**(2\/29)\/r)\/r))\/r)*r)*r*r**(-2\/25))\/(r**(-9)\/(r*r*r**(2\/9))) assuming r is positive.\nAnswer: r**(85303\/6525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102001021 + 102000?\nAnswer: -101122021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -t**2 + 1066*t**5 + 2*t**2 - t**3 - 2770 + t**3 + 3514 wrt t?\nAnswer: 63960*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1672?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 12034134.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 16712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 4*c**2 + 2. Let f(i) = -13*i**2 - 7. Let b(a) = -7*d(a) - 2*f(a). Let l(z) be the first derivative of -3*z**2\/2 + 12*z - 250. What is l(b(j))?\nAnswer: 6*j**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 117 - 29a94?\nAnswer: -29979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -210 - 343 - 6761*x + 8515*x with respect to x.\nAnswer: 1754","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + 11)*(-22)\/(-99). Solve -x - c - v = 0, -4*c - 3 = 3*x + 3 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + 5*r**2 + 5*r + 10. Let t be z(6). Suppose 2*x = n + 9, -2*n = t*x - 5*n - 17. Is 8 a factor of ((-264)\/20)\/((-1)\/x) + -2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 704 and 1672.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 169\/84 and -119\/132?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 294*u**2 + 249*u + 60. What is the hundreds digit of a(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2 + 2 - 4*o + 1 - 4. Let l = 1 + 1. Suppose l*d + 5 = 7*d. Determine y(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, f: 1, l: 1, u: 2}. Give prob of sequence xux.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4189 = 2*s + 2*l - 2343, 0 = 5*s - l - 16348. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18199?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -20*f*r + 9*f + 4599*r wrt f.\nAnswer: -20*r + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -7. Suppose 2 = 2*z - z. Let t(d) = -8 + 0 - 4*d + z*d. Calculate t(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of 7\/24*m**4 + 1\/60*m**5 + 2 - 5\/6*m**3 + 33*m**2 + 0*m. Give z(-5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ege when three letters picked without replacement from pqennegee?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -q - 3*q, -p = -4. Solve -6*k = -q*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -49 - 2*d**2 + 1 + 38*d - 14 + 26 - 32.\nAnswer: -2*(d - 17)*(d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -p + 9, 0 = 5*p - 5*h + h - 3. Let w(s) be the second derivative of 0*s**2 + 0 + 1\/80*s**6 + 0*s**p + 19*s + 0*s**4 + 3\/160*s**5. Factor w(d).\nAnswer: 3*d**3*(d + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-350534)\/(-13) - (-52)\/(-338)) + 2. Suppose w*a - 26966*a - 3*a**3 + 3*a**4 = 0. Calculate a.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 + 8*q - 12. Let n be a(4). Solve -2*u + 28 = -n*b, -2*b + 3*b + 1 = -u for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*o + 2. What is the units digit of (11\/(-3))\/(o\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42501146657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 18620?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46, -93, -140, -187, -234, -281?\nAnswer: -328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 35 = 3*h, 5*h + z = -2*z + 40 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xcccxccxccc. Give prob of sequence xxx.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -315*(-3)\/133 - 7*1\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(2\/5))**(2\/65)\/(g\/(g*g\/(g**(10\/7)\/g*g*g))*(g*(g*g*g**(-12))\/g)\/g) assuming g is positive.\nAnswer: g**(21817\/2275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 8:24 PM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -560 < 141.47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 16 = -0*s. Suppose -s*q + 8 = -0*q - 2*z, 2*q + 5*z = 4. Suppose -n = q*n - 24. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1669 + -1111. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 86*i - 124*i - 182*i - 160*i + 56*i to a*i + v and give a.\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 3:14 PM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -4 + -1 + (7 - 10) - -11.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 + -1.7. Let y = 2 + p. Let u = -0.487 - -0.387. What is the biggest value in -2, u, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/7956 and -155\/7956.\nAnswer: 7956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -17 + -11 - 3 - (7 + -3 - (6 + -1))\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9*((-1)\/6 - 2\/(-4)). Which is the smallest value? (a) x (b) -4.1 (c) 0 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 821, 691, 561, 431, 301?\n\"Answer: -130*k + 951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 2*j - 6*k - 14, -3*j - 2*k + 6 = 0. Suppose 3*x - j*x + 318 = 0. What are the prime factors of x?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**3\/13 - 864*k**2\/13 + 124416*k\/13 - 5971968\/13 = 0.\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.706116mm in kilometers?\nAnswer: 0.000001706116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1520263 is divided by 20544.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-18)\/27)\/(4\/(-66)). Let r = 11 - u. Suppose 5*f + 0*f = r. Solve -4*g + g - 9 = f for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 9. Let j be 14\/91 - (-76)\/(-325). Let o = 0.3 - -0.7. What is the nearest to o in j, 3, h?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60, 30, -6, -42, -72, -90, -90?\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13915?\nAnswer: 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/t**(-3))\/t)**(23\/4) assuming t is positive.\nAnswer: t**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1.42 * -0.4\nAnswer: -0.568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.36576525 rounded to four dps?\nAnswer: 0.3658","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 65218?\nAnswer: 4\/32609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of -1\/15*h**5 + 0 - 1\/120*h**6 - 2\/3*h**3 + 4*h**2 + 0*h + 7\/24*h**4. Calculate the remainder when 101 is divided by t(-6).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10581 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 294.7936779 - 9?\nAnswer: 285.7936779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -329 - -671. Let h = 702 - w. Is h a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32320 or 174?\nAnswer: 174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 185946+-303532\nAnswer: -117586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u - 10. Let z be c(12). Suppose l - 3 = -f, -f + l = z - 7. What are the prime factors of f*(4 - (-3)\/(-4))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 4. Let d = 11.29 + -0.29. Let x = d - i. Sort x, -0.1, 3 in descending order.\nAnswer: x, 3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*(48\/112)\/(9\/6)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -500602780773 and -0.67.\nAnswer: -500602780773.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1417, -5955, -13527, -24139, -37797, -54507?\nAnswer: -74275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iyyyyyi. What is prob of picking 2 y?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.41 or 3?\nAnswer: -1.41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 3. Let s be ((-4)\/(-45))\/(2\/j). What is the closest to 1 in s, 0.3, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2829 - 5.\nAnswer: 2824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 - 9486*l**3 + 38 - 1 - 7.\nAnswer: -9486*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1162 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6596443 and 749?\nAnswer: 749","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4408 + 4408. Solve 16*j + 9 - 9 = t for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 448 and 2926240.\nAnswer: 40967360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -59*z - 22*z + 4 - 19*z - 3 to m*z + v and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 5483*q. Let h(x) = 14*x. Determine h(c(k)).\nAnswer: 76762*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*q**3 + 69*q**2 - 93*q + 30.\nAnswer: -3*(q - 10)*(q - 1)*(2*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2101 (base 4) to base 14.\nAnswer: a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ga when two letters picked without replacement from eeaegzaez?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 5 + (3 + 3 - 4)*(-4 + 3 + 3) + (1 - 4 + 5)*(-7 + 1 + 1))*(16432 + 93*b - 16432)*(-2 - 2 + 7).\nAnswer: -1116*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 176 - 156 - 7*s + 7*s + s**2.\nAnswer: s**2 + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1837 + -67090?\nAnswer: -65253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14 + 138 - 285*o**3 + 508*o**3 wrt o.\nAnswer: 669*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 112\/700*(-75)\/(-60).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11283116?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 11) in base 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/21 - 8*k**2\/21 + 10*k\/21 - 4\/21.\nAnswer: 2*(k - 2)*(k - 1)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/4*(-3)\/6. What is the second smallest value in 0.3, 2\/11, p?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 157 - 77. Calculate the remainder when 202 is divided by c.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 AM and 2:37 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 - -11. Let t be (3\/c)\/((-4)\/104). Calculate the highest common factor of t and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n**3 + 0*n**3 + n**3 + (3 + 7*n + 5 - 9)*(-84*n + 12*n**2 + 84*n) as m*n**2 + g*n**3 + t*n + k and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(5\/2)*w)\/(w**(-12)\/w))\/(w**(-1\/17)*w\/w**(-1\/22)*w) assuming w is positive.\nAnswer: w**(2714\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3087413*a**3 - a**2 + 2924*a + 449?\nAnswer: 18524478*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13*l**2*q**2 - 39*l**2 + 2*l*q**3 wrt q?\nAnswer: -26*l**2*q + 6*l*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 45 + -143. Let a = g - -95. Let p = 163\/35 + -19\/5. Sort 2, p, a, 1 in descending order.\nAnswer: 2, 1, p, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36224038 take away 1?\nAnswer: 36224037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccqcccccccccqccqqcq. Give prob of sequence qq.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-37125)\/(-10))\/(3\/(-480)). What is p rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -396*n + 182*n + 73*n**2 + 107*n - 73*n**2 + 4*n**3 + 107*n.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.54 and 42.73?\nAnswer: 42.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 53847677194 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1143 is divided by 119.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -20303422 (base 5) in base 10?\nAnswer: -166112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.7713 - -0.7731127. Round m to 4 dps.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (3 - ((-2 - -1) + 5)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 93040 and 880.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -3*v**2. Let w(f) = 2*f - 1585. Give w(q(i)).\nAnswer: -6*i**2 - 1585","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 100011?\nAnswer: 100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130) + (sqrt(130) - -6*(sqrt(130) + 6*sqrt(130))))\/((sqrt(1500) - sqrt(60))\/sqrt(6))*-3 + -1.\nAnswer: -33*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - (8 - (3 + 2))) + 6.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 120 = 237. Let v = 208 + j. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 117\/640 and 51\/5655680.\nAnswer: 5655680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -1.4. Let z = -110 + 107. Sort 0, u, z in decreasing order.\nAnswer: 0, u, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*n - 3. What is the third derivative of 0*o**2 + o**6 - 2*o**n + o**2 wrt o?\nAnswer: 120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a + 3. Calculate o(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/(-150))\/((-6)\/(-30)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5615 + -3504. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -60 - -56.25. Let j = h + 0.35. Let w = j + 3.5. Put w, 0, 2\/7 in descending order.\nAnswer: 2\/7, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -103.35675 - -103.4. Round d to three dps.\nAnswer: 0.043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 535154?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -8, 15273, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - 8*q**2 + 8*q + 1. Suppose -10*v - 1395 = -1615. Calculate the smallest common multiple of v and n(7).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f + 2. Let q be n(0). Let c(a) = -13 + 13 - q*a. Let y be c(-5). Solve -5*j + y = 0, -8 - 2 = 4*b - j for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -21005618, -21005612, -21005606, -21005600, -21005594?\n\"Answer: 6*r - 21005624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -115.8 - 343017810\nAnswer: -343017925.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22 and 260656660?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154*h + 61442 = s + 159*h, 5*s - 307266 = 3*h. What are the prime factors of s?\nAnswer: 2, 3, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s + 99. Let v be g(32). Let z(i) = -i - 8. Let a be z(-8). Let x be 2 + a - 2\/(-1). Solve 6 = v*q + 5*f, -q + x*f - 3*f + 2 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/3 (b) 0 (c) 1 (d) 61 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, 0, -0.116, 5, 0.2, 40 in ascending order.\nAnswer: -2, -0.116, 0, 0.2, 3, 5, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7473, -11935, -16397, -20859?\nAnswer: -25321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/15 + 2\/(-3). Suppose l*i + 4*f - 40 = -i, 3*f + 160 = 4*i. Suppose 98*u - 332 = 158. Calculate the greatest common factor of i and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -174 - -110 - -85 - (37\/(-3) - 8\/(-24)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -3*l**3 - 11*l**2 - 82*l - 529. Calculate the remainder when i(-7) is divided by 26.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, h: 3, n: 7}. What is prob of sequence hhn?\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 13. Let y be 2\/((-3)\/42*g). Solve 4*k - 1 = -2*t + 1, 0 = 3*k - 4*t - y for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(72) + 1 + -3 - (sqrt(72) + -3*(sqrt(72) + -1) + sqrt(72))))**2 + -1*(3 + sqrt(72)*1*2).\nAnswer: -492*sqrt(2) + 1249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -343 - 1897. Calculate the highest common divisor of 28 and n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (29 + -14 - -4) + -46\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 322588?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n + 9. Suppose -p + 2 = 6. Let w be r(p). Suppose -i = 4*b - 42, w*b = 4*i + 13 + 29. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1221 is divided by 399?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -2223121?\nAnswer: -2223124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 55, 2\/15, 6.59, 0.6, 0.1, -4?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10\/33 + -103\/231. What is the nearest to q in 5, -0.4, -3\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69630563 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of -2*y**3\/3 + y**2 + y + 14. What is u(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 172 - 187. Let u = d - -17. Solve -u*c - 12 = 2*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -2 + 5 + 17 + -21?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 792455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 908310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*l**2*q**2 + 69*l**2 + 34*q - 4 wrt q.\nAnswer: -12*l**2*q + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 56 and 231743.\nAnswer: 12977608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*w - 2*w - 34 = 0. Suppose w*h - 328 + 66 = 0. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 8*t + 5*a + 2, 3*t = 2*a - 16. What is the closest to -0.2 in t, -0.6, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110100011 + 11000?\nAnswer: -110001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2 - 2*k + 3*k - 2*k**2 + 48 - 19. Let f be u(4). Let y(j) = -j**2 + 4*j - 2. Give y(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15667 + 34283 - 11359 = -1279*y - 16406 for y.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-22)\/(-8) - (-5)\/20. Suppose 2*l = -w*l + 90. Is 9 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -3\/4 (b) -5\/4 (c) 145 (d) -3 (e) 31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 868*y - 1937450 = 857*y + 1340781. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -24 less than or equal to -0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 558, 590, 622, 654?\nAnswer: 686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - 39*v + 134. Let g be r(35). Let a(c) = 11*c + 19. Let x(y) = 5*y + 9. Give g*a(k) + 13*x(k).\nAnswer: -k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.51531273 rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1840645649 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 80151749 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -1360*o - 1182. Does 11 divide w(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11101 + 111011111001?\nAnswer: 111100010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2617 - 2616.7. Sort -44, 1, 3, 0, s.\nAnswer: -44, 0, s, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -5*s**3 - 26645*s**2 - 19225280*s - 38344020 = 0.\nAnswer: -4469, -858, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 92611632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 2*h**2 + 54*h - 116 = 0.\nAnswer: -29, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5502161 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*m - 5*u = 32*m - 59, -5*m + 3*u - 77 = 0 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of k + 1 + 1\/6*k**4 + 0*k**2 + 1\/2*k**3. Let d(c) be the first derivative of t(c). Find the second derivative of d(m) wrt m.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 2 = 4*w, 22 = -w - 7*b + 2*b. Suppose 0 = -w*v + 4*q - 11, 2*v - v - 4*q + 9 = 0. Is (-33)\/v + -4 + 2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 - r**2 + r - 1. Let o(f) = f**3 + 4*f**2 - 6*f + 3. Let l(z) = o(z) + 4*u(z). Give l(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16785 + 57340 + 33065 = 3*b. What are the prime factors of b?\nAnswer: 2, 3, 5, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 22921.92 minutes?\nAnswer: 1375315200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 4510 = -3*j, -2*j - 2*j - 9060 = -2*c. What are the prime factors of c?\nAnswer: 2, 7, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 4*r - 3, -t = 4*t + 5*r + 15. Let c(s) = -s**3 + 9*s**2 - 7*s - 11. Let z be c(8). Sort z, -2\/5, t in decreasing order.\nAnswer: -2\/5, z, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of 10*h**3 + 21*h**2 + 4. Find the second derivative of j(x) wrt x.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28237942 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 - -5 - (-26 - -35) - -60) + -7.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -396*k**3 - 6*k - 14. Let h(i) = 132*i**3 + 2*i + 5. Determine 5*b(a) + 14*h(a).\nAnswer: -132*a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000377721571 rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of (-1)\/((-2)\/306*3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -252 - -269. Suppose -z = v - 25. Solve 0*r = 2*r + v for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, t: 1, e: 1}. What is prob of sequence etk?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + c - 5*c)*(-3 + 1 - 2) + 0 + 0 - 2*c - 3*c + 0*c + c + (0*c - 3*c + 2*c)*(-3 + 1 + 4) + 5*c + 1 - 1.\nAnswer: 7*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 + 5 - 5)*(7 - 18*u**2 - 7).\nAnswer: -18*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6273 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -27, -10, 41, 144, 317, 578?\n\"Answer: 3*z**3 - z**2 - z - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2769407 + 7*f - 2769407 - 14*f.\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*-1*(-6)\/((-150)\/(-5)).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 224*l**2 - l - 1. Let v be q(-1). Suppose 4*n + 2*k - 17 + 3 = 0, 5*k = -4*n + 17. Suppose n*b - v = 4. Is 19 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111101001 (base 2) to base 12.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/19 + 354*x\/19 + 7084\/19.\nAnswer: 2*(x + 23)*(x + 154)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-2583)\/(-60) + 17 - -3 - (-3)\/(-60)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (35\/(-1260)*56)\/(60\/(-27))*16\/(-70)?\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -72 divided by -4\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -104, -221, -354, -503, -668?\nAnswer: -849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*n + 5*j - 15, 5*j = 3*n - 60 + 75 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138172.\nAnswer: 2, 34543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 147?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*r - 11*r + 3*r + 1147 = 0. Solve -r*q = -26*q + 10 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3075304 = -47*u + 9*u - 352490. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + 1971\/513)\/(-3)?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j = 15*j - 5. Let r be 1\/((-6)\/27*-3). Suppose 2*g = 4*g. Which is the closest to g? (a) j (b) r (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -101 - 12013133?\nAnswer: -12013300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 7:00 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -209 + 99. Let t = i - -106. Let a be (0 + (-3 - t))*5. Solve l - s = 0, a*l + 2*s = -s + 32 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of 5*v**4\/2 + 43*v**2. Let c be d(-1). Is (-6)\/c + (-35618)\/(-20) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2112327*n**3*w - 6876*n**3 + 33 wrt w.\nAnswer: -2112327*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1402 a factor of 12233406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72 is divided by 18.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2316421 (base 8) in base 3?\nAnswer: -1012000020120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1065 is divided by 1060?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 241\/1377 or 0?\nAnswer: 241\/1377","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59, 40, 23, 8, -5, -16?\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/(-52) - (2\/(-14) - (-16748435220)\/(-5005)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + -25 + -10 + (50 - 58).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) - (sqrt(200) + -2)*1 - -4*2*sqrt(200))**2 + -1)*-3.\nAnswer: -38409 - 960*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 4*o**3 - 4*o**2 + 4*o + 4. Let f(v) = -4*v**3 + 5*v**2 - 5*v - 5. What is 6*f(d) + 7*t(d)?\nAnswer: 4*d**3 + 2*d**2 - 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2339440548 - -474.\nAnswer: -2339440074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (56\/4872)\/((-2)\/(-90)*-3). Which is greater: j or -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 10 + 1 + 1. Suppose -6*s + 2*s = z - g, 0 = 4*z + 2*s - 16. Let i(w) = -2 - z*w + 3 - 1. Let t(l) = 2*l**2. Determine i(t(r)).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1365 + 1357. Which is the third smallest value? (a) -5 (b) -2\/15 (c) n (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1669 + -1667. Sort -3, -4\/7, a, 16.\nAnswer: -3, -4\/7, a, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of -x**4\/12 + x**3\/6 - 13*x**2\/2 - 7*x. Let s(t) be the first derivative of u(t). Let i be s(-1). Solve i*a + 20 = -a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4128 + 4121. What is the nearest to -1\/3 in 1\/6, 4, n, -0.17?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 5 + 3 + -4 + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -462 + 461. Which is smaller: u or 2\/1649?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (-14 - 0) + 6 + -35?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (4\/6)\/((-10)\/(-75))*28\/10\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)*3*-4 + sqrt(102) - 2*sqrt(102)*3)\/(3*sqrt(600) - (sqrt(6) - -2*-4*sqrt(6))).\nAnswer: -17*sqrt(17)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(637))**2 + (4 + sqrt(26)\/sqrt(2))**2.\nAnswer: 8*sqrt(13) + 22961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -84, -73, -52, -21, 20?\n\"Answer: 5*z**2 - 4*z - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (18\/(-3))\/2 + -1 + 3. Do i and 1\/20 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) -0.05 (c) 11 (d) -0.4 (e) -5 (f) -1\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, y: 3, v: 4, d: 1, n: 7}. Give prob of picking 1 y, 1 d, and 2 v.\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 19 + 1. Suppose -195 - 195 = -v*d. What is the remainder when 153 is divided by d?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1384 and 12975?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34 - 21. What is the remainder when 36 is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + j**2. Let s(c) be the third derivative of c**6\/60 + c**5\/12 + c**3\/6 - 2*c**2. Let m(b) = s(b) - 5*v(b). Differentiate m(o) with respect to o.\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5609\/18 + -304. Let l = -243 - -1035\/4. What is the common denominator of z and l?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + -5)*6\/(-10). Let j(c) = -c**3 + 3*c**2 - 1. Let g be j(f). What is the smallest common multiple of 4 and 1 + -5*(-2 - g)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - a + 2 = h, -4 = 3*h - 2*a. Let d(z) be the first derivative of 0*z**2 + 0*z**3 + 0*z + h*z**4 + 1\/24*z**6 + 3 + 1\/20*z**5. Factor d(k).\nAnswer: k**4*(k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of 8\/5*s**2 + 4\/5*s + 27 - 3\/5*s**3. Factor v(i).\nAnswer: -(i - 2)*(9*i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + 4*c**2 + 4*c + 7. Let w be b(5). Suppose 10 = 4*x - w*x. Let m = 3888.14 + -3888. What is the fourth smallest value in 1\/8, -1, m, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61565 - 182402 = -35*l + 14263. What is the remainder when l is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 5 = 0, 690*c + 2*b + 20 = 685*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, v: 3, h: 2, t: 1, o: 1, k: 1}. What is prob of sequence thhk?\nAnswer: 1\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.26529 + 11?\nAnswer: 4.73471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 10:39 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 99.6204418461 + -4.\nAnswer: 95.6204418461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*w + 5 - 2*w**2 - 14*w + 18*w + (3 + 1 - 3)*(-3*w**2 + 3*w**2 - w**2).\nAnswer: -3*w**2 - 4*w + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-2))\/((-8)\/(-72)*-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24197, -24204, -24211, -24218, -24225?\nAnswer: -24232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9866.\nAnswer: 2, 4933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 5*m**3 - 105*m**2 + 1. Let o be c(21). Let w = -5 + 21\/4. Solve w*g**2 + g + o = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 + t - 25. Let z be l(0). Let m be (-8)\/10*z\/10. Solve -7 = m*k + 3 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 25764*x + 2840*x + 950*x as m*x + f and give m.\nAnswer: 29554","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 12*n**2 + n - 7. Let i be -8*((-12)\/8)\/((-12)\/(-14)). Suppose -c + 0*u - 2*u = -i, 2 = 2*u. Let y be t(c). Solve -2 = -y*f + 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/2 - 3*s - 315\/2.\nAnswer: (s - 21)*(s + 15)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1434, 2878, 4322?\n\"Answer: 1444*r - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of -g**4\/18 - 98*g**3\/27 + 34*g**2\/3 - 425. Factor c(o).\nAnswer: -2*o*(o - 2)*(o + 51)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 + 3239544961?\nAnswer: 3239544961.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -270 = -9*d + 387. Which is bigger: 72 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3282 times -1\nAnswer: -3282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 + 46 + 13*a**2 + 2*a**2 - 7*a**2.\nAnswer: 8*a**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 575112.8 kilograms in nanograms?\nAnswer: 575112800000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -792 (b) -24 (c) -1\/5 (d) -0.5 (e) -1 (f) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -76, 0.3, -2, -4, -8\/11.\nAnswer: -76, -4, -2, -8\/11, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -16*u**2 + 30*u**2 - 9*u**2. Suppose 0 = -3*y - 6, -3*y + 19 = 2*z - 37. Let j(s) = 31 - z + s**2. Determine j(m(o)).\nAnswer: 25*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12358 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 5. Let r = -5 + j. Let d = r - 1. Solve 2*t - 10 = d, 3*z + 7*t - 30 = 4*t for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -205668 times 41\nAnswer: -8432388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -58*q + 151*q**2 - 310*q**2 + 55*q in the form n*q + w + c*q**2 and give c.\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1440114 (base 5) in base 16?\nAnswer: -77c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 = -c + 6*c + 5*h, 5*c = -h - 51 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = c - 0*m + 18, -5*c = -m + 134. Let v = -21 - c. Solve v = -4*f - 3 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3025 is divided by 963.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 66697143?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-80)\/(-4))\/(13650\/21840).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11\/48 - -1\/48. Sort 20, h, 0 in descending order.\nAnswer: 20, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 152 and 20.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000125 rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -0.033802165.\nAnswer: -0.0169010825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-106)\/(-4) - (-5)\/10. Suppose -k - 3*w + 9 = 0, -2*k = k - 2*w - r. What is the greatest common divisor of k and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2 - -5) + -14 - 15) + 5 - 7?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10010 (base 2) in base 10?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t + 12. Let c be k(-4). Let y be (1 - 4\/(-32)*-154) + 4. Let m = y - -15. Put m, 3, c in decreasing order.\nAnswer: c, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*(j*j**(-2))\/j*j*j**(-5) assuming j is positive.\nAnswer: j**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(96)\/sqrt(3))**2 - (3 + sqrt(128) + 1).\nAnswer: -16*sqrt(2) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2178 divided by -9?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**5 - 105*n**4 - 2302*n**3 + 7986*n**2 + 2303*n - 7881 = 0. What is n?\nAnswer: -71, -37, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.044935158 to 3 dps.\nAnswer: 0.045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cocoocjccuccxcqccuoc. Give prob of picking 1 x and 1 u.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9774, -38840, -87254, -155016, -242126, -348584, -474390?\nAnswer: -619544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 349410?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2 + 2211*v\/2 - 1107\/2.\nAnswer: 3*(v + 369)*(2*v - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*a - a - 3*a)*(-4 + 4 + 2*a**2) + (6 - 2 - 2)*(-25 - 5*a**3 + 25) - 4*a**3 - 2*a**3 + 14*a**3 in the form n + z*a + h*a**3 + w*a**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/7, 1, -2\/5, 1\/3, -10.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 51785828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/17 (b) -6 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, b: 1, r: 1, c: 10}. Give prob of sequence rccb.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37107415*c + 37107415*c + 867*c**3.\nAnswer: 867*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22.7 + 20. Let x = 1.2 + t. Which is bigger: 1\/5 or x?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14609.18l in millilitres?\nAnswer: 14609180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 - -0.2. Let q = p + 0. Let t = 31 + -31.2. Which is the smallest value? (a) q (b) 2\/11 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47536 - 47536. Let m = -14 + 10. What is the closest to 20\/3 in m, x, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1292117 rounded to the nearest ten thousand?\nAnswer: -1290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 66 + -33. Let j(x) = x**2 + 12*x + 13. Let d be j(-9). Let g = d + i. List the prime factors of g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*r**3 - 15457*r**2 - r + 2*r - 2*r**3 + 2 + 15424*r**2 in the form g + h*r + z*r**3 + t*r**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -65\/3 or -485009?\nAnswer: -485009","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m - 2*m + 2*m - 2 + 6*m. Is d(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3464 divide 1366001143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18351 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: Find l such that 53*l**2\/3 + 152*l\/3 - 7 = 0.\nAnswer: -3, 7\/53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32139, 64276, 96413, 128550, 160687?\nAnswer: 192824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1043\/87 or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*w = 38*w - 12. Let i(g) = -39*g**3 + 4*g**2 - 3*g + 7. Is i(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3687*q - 7386. Determine i(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 5*x - 1025 = -1111, 4*q = 3*x + 45 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -6*z**2 - 168*z - 131. Let y be f(-27). Solve -5*c - 4*j + y = 0, 5*c - 3 = -3*j + 24 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h - 5*t + 814 = 703, 4*h - 67 = -3*t for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 6:17 AM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 9:56 AM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39307, 39302, 39297, 39292, 39287, 39282?\nAnswer: 39277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 1 - 12*b - 11*b + 24*b. Let v be x(-1). Let s(i) = 0 - 6 + 0 - i. Calculate s(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -717\/4, -4, 0.2, 5\/9 in descending order.\nAnswer: 5\/9, 0.2, -4, -717\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1626 is divided by 542.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 + 48*y + 178. Calculate z(-11).\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -4*z**2. Let r(p) = -7*p**2. Let i = -586 + 583. Let u(w) = i*x(w) + 2*r(w). Let l(g) = 77*g. What is l(u(q))?\nAnswer: -154*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -29264*l**3 + 29306*l**3 - 5 - 34*l - 6*l**4 + 26*l**4 + 6*l**2 - 13 = 0?\nAnswer: -1, 9\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.021*2463802\nAnswer: -51739.842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 5*i = -165, -m + 0*i = 3*i + 31. Let q = -32 - m. Solve c + q = -c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/132 and -17\/3356298.\nAnswer: 6712596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -462*l - 515*l - 469*l to the form x + m*l and give m.\nAnswer: -1446","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a millimeter in micrometers?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -2*m + 573, 3*m = -0*m - 3*b + 855. Suppose 5*x - 4*x = 3*i - 226, -m = -4*i - 2*x. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 804 = 5*t, -2*i - i + 3*t - 1248 = 0. Let q = 943 + i. Let w = -272 + q. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/5 + 28\/140)\/4 + -7?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 3 + 2. Let z = 0.4 + 0. Let p = 221 - 220.9. What is the nearest to p in -3\/5, z, l?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*v**2 - 2 + v**2 + 5*v**2 to n + o*v**2 + f*v and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 6536.616.\nAnswer: -6531.616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67 divided by 8.\nAnswer: 67\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2174 - 1814. What is the smallest common multiple of 60 and o?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19840069 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70438*l**2 + 115528*l**2 - 86939*l**2.\nAnswer: -41849*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8083634 is divided by 461.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 - 2 = -5*t. What is the remainder when t is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -179*m + 365*m - 177*m.\nAnswer: 9*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/105540 and -97\/116094.\nAnswer: 1160940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3174 divided by 69?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 13453.132 to zero dps.\nAnswer: 13453","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - (249\/(-117) - 1). Let p = 6\/13 - g. Let i = 6 + -8. Which is greater: p or i?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3196.728 to the nearest one hundred.\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-5 + ((sqrt(1539) + (sqrt(1539) - (sqrt(1539) + 4)))**2 - (sqrt(228)*3)\/sqrt(12))).\nAnswer: -7750 + 375*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*1)\/(9\/(-858)*13)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v - 5. Let i be p(-5). Let x(f) = f**2 - 5*f - 10. Let j be x(i). Is j > -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -205*((-18)\/15)\/3 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8846.073 hours in milliseconds?\nAnswer: 31845862800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 10*l**2 - 13*l - 11. Suppose v + 15 = 3*h, -v = v + 2*h + 14. What is the tens digit of y(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + -13. Let t = 52 + k. Let g = t + 18. What are the prime factors of g?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3120 (base 11) in base 15?\nAnswer: 135b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2525212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 617051399 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 100 and 4248?\nAnswer: 106200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -314232782 times -3\nAnswer: 942698346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -4*x**2 + 4*x - 3. What is q(2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t\/(t\/(t*t**39)))\/t*t)**(1\/41)\/(t**(-21)\/(t*t*t\/(t\/t**(2\/29)))) assuming t is positive.\nAnswer: t**(698\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of -4*o + 0 - 1\/30*o**4 + 1\/900*o**6 + 0*o**2 + 1\/300*o**5 - 1\/3*o**3. Let w(m) be the second derivative of u(m). Factor w(l).\nAnswer: 2*(l - 1)*(l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 19) + 6 + -5 - 16?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80200720 and 292.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164 - 589 = -523*b + 1862 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -27 + (102 + 1 - (-489 + 515))\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2246*a - 2254*a = 104 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*q + 1, 3*q + 1082 = 5*s. Suppose 3*w - s + 172 = 0. Suppose -2*u = u - 105. What is the greatest common divisor of w and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1420, 2844, 4268, 5692?\n\"Answer: 1424*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(66)\/(3*sqrt(6))*-2.\nAnswer: 4*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/4)\/((-1829)\/3658) - 30\/(-1)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9326203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 - 4*w - 130. Let y be u(32). Is 765 > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 + -49. Let d = h + 85. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3679d7 (base 16) to base 11.\nAnswer: -2019328","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26 - 16. Suppose -6 = -k - 3. Let i = 2 + k. Solve 3*r + 12 = i*d - f, 0 = r + 3*d - 2 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4655 is divided by 660?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 2*p = -12, 4*p = -0*i + 5*i + 27. Let y(j) = -17*j + 2. Let h(f) = 17*f - 2. Let o(c) = i*y(c) - 4*h(c). Differentiate o(r) with respect to r.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2076 minus 85?\nAnswer: 1991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/12)\/((8\/(-3))\/2)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -109 - -65. Sort 5, y, -3.\nAnswer: y, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p + 3*p + 1860 - 1859 + p**3. Let i(b) = 3*b**3 + 3. Suppose v = -3*f + 1 + 4, f = v - 1. What is f*i(z) - t(z)?\nAnswer: 2*z**3 - z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-78)\/24)\/13*36?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 53.3 - -4.7. Is -1\/4 at least q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2679 is divided by 67?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.844432 months in decades?\nAnswer: 0.2237036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 4)*(-4 - 3 - 5)*(-h**2 - 15*h + 15*h).\nAnswer: 24*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 9*w - 2*w + 18 = 3*w + 2*w - 3*w, -4*g = 4*w for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -1152*w + 2143. What is h(3)?\nAnswer: -1313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zgbbhgbbmbhgb. What is prob of sequence zhmg?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -14*(2 - 3)\/(-2). What are the prime factors of -1 + (2 - o) - 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5594505443 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 454 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -549083*p. Let s(w) = 8*w. What is g(s(f))?\nAnswer: -4392664*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 243*v**4 + v**3 + v**2 + 629*v wrt v.\nAnswer: 5832*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1367982.97 rounded to the nearest 10000?\nAnswer: 1370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1777, -0.1, 4\/7 in increasing order.\nAnswer: -1777, -0.1, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 5 - (1 + 3 + (-14 - -16))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0566*-0.17.\nAnswer: 0.009622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 795 + -782. Suppose -4520 = -n*h + 9026. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 345 divided by -15.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 808 - 475. What is the highest common factor of f and 74?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 d when two letters picked without replacement from duudcgz?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -123, 550, 2375, 5928, 11785, 20522?\nAnswer: 32715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) 6 (b) 0.2 (c) -2 (d) -0.11 (e) 3\/4 (f) 8243\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 n when four letters picked without replacement from {g: 11, n: 2}.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + 18359\/814 - (1 + (-2)\/4)?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-1*sqrt(77)*6)\/(sqrt(175)*-1*4).\nAnswer: 9*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 276 + -276. Sort 3, -2, v, 2 in ascending order.\nAnswer: -2, v, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22660 take away -0.54?\nAnswer: 22660.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 958 from -3.94105973487.\nAnswer: -961.94105973487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccccqcccccccqcccccc. What is prob of picking 2 c and 1 q?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -5.24. Let t = 0.48 - f. Let u = -0.876 + t. What is u rounded to two dps?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/4)\/(35\/14). Suppose -3*f - 3 + 15 = 0, 4*p = -5*f + 8. Let c = 155 + -155. Sort c, g, p.\nAnswer: p, c, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 + j + 1. Let r(v) = 52*v**2 + 78*v + 78. Let s(l) = 78*h(l) - r(l). Let a(i) = -i**2. What is s(a(p))?\nAnswer: 26*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) -5 (c) 8\/13 (d) -54 (e) -1.6 (f) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of -19*o**7\/21 + o**4\/4 + 25*o**3\/3 + o**2 + 1142*o. Find the second derivative of q(c) wrt c.\nAnswer: -760*c**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3549 is divided by 67.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiii when four letters picked without replacement from iiiiii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.22018 - 0.219. What is h rounded to four dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3968 is divided by 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -u + 2, 0 = 2*u + 3*u - 25. Suppose h - 2*h = -z. Suppose -h*w = 58 - 346. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118 = -2*z + 504. Suppose -k - 3*d = -0*d - 77, -2*d - 308 = -4*k. Let w = z - k. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.057 - 3.057. Which is the smallest value? (a) 1\/7 (b) z (c) 1 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2 - 283*o + 9953. Give r(75).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 + 8*d + 17. Let q be r(-5). Suppose -2*n + 4 + 16 = 0. Suppose q*a - 2 = -n. Let l(p) = -p - 3. Calculate l(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -196.288705\nAnswer: 39.257741","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrbutjuubrjjju. What is prob of sequence uut?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u**3 + 133*u**2 - 670*u - 77. Calculate a(61).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(162) + sqrt(162) + 0 + -3 - sqrt(162))*2.\nAnswer: -1 + 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8.4 + 43.9. Let h = q + -36. What is the closest to -4 in -0.2, h, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17.27 + -1.27. Which is smaller: -193 or t?\nAnswer: -193","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + 493?\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b5 - -3?\nAnswer: -b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y + 6. Let u be f(-3). Suppose q = w - 4*q - 15, 3*w + 2*q + 6 = u. Solve -2*h + 0 = -5*d - 13, w = 5*h + 2*d + 11 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126 + 134 - 392 + 3*s + 132 + 7*s.\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 138 + 6. Let p be (-468)\/585*5\/(-2) + -13 - 38. Do j and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 61 - 30. Let u = w - -1. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 268719 and 935?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -435?\nAnswer: -1\/435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -8. Let h be y\/6 - (-1)\/(-3). Let p = -4 - 0. Do p and h have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = 2*u + 844. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23641 is divided by 11797.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1d (base 15) in base 8?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 621414296?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 12062363 (base 9) to base 15\nAnswer: 7b4450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 33*i - 3342. What is n(101)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r**(1\/22)*r)*r*r**(-9)*r**(-1)\/r*r\/(((r*r\/r**(2\/17))\/r*r)\/r))**(-2\/5) assuming r is positive.\nAnswer: r**(4087\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 85747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g - 3. Let u be f(4). Let j be (-4)\/u - (-1)\/(42\/(-38)). Sort j, -3\/7, 5.\nAnswer: -3\/7, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16242165 - -0.1.\nAnswer: 16242165.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, -5, 0.4, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4187\/(-474) - ((-10)\/12)\/(-5))*(-25830)\/2214.\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/77760 and 107\/3888?\nAnswer: 77760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4343\/27 + -162. What is the common denominator of 52\/459 and l?\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1.107981 millilitres?\nAnswer: 0.001107981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m**2 + 2*m + 1. Let u be q(-1). Suppose 0*x = u*x - 7200000. What is x rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14573*r = 169204 + 165975 for r.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is a63 (base 12) in base 14?\nAnswer: 7a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38 - 14. Suppose -x = -3*m - m. Differentiate 2*w**4 - 6*w**4 + 6*w**2 - 6 - m*w**2 with respect to w.\nAnswer: -16*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000447 to five dps.\nAnswer: -0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, p: 4, v: 1, f: 3, r: 1}. What is prob of sequence cpr?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*w**4 + 894*w**3 + 8936*w**2 + 3432*w = 0. What is w?\nAnswer: -78, -11, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -10110100?\nAnswer: -10110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/6)\/((-414)\/(-1699677)*238).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of -g**4\/24 + g**3 + 6*g**2 + g. Calculate h(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1456 - 1412. Solve -2*c = 3*a - 9, -43 + i = -a - 2*c for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19 in -4, 2\/9, -1\/84, -37?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -87057212477.000000469 - -87057212270. Let j = n - -207. What is j rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 93646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -133 divided by -7\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -33. Let c = -1393 - -1308. Let v = i - c. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7766 - -9625. Which is greater: r or 1853?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 + -7 + -5 - -137 and 16?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/4*(-520)\/4. Let b = r + -62. Sort 17, 5, b, -5 in descending order.\nAnswer: 17, 5, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 53901 + -33278. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of 5*v**2 - 1\/15*v**6 + 0*v**3 + 0*v**4 + v + 0 + 1\/84*v**8 + 2\/105*v**7 + 0*v**5. Determine d so that n(d) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -25*k + 8 + 11*k + 15*k + 4. Let x be 1*-10 + 0 - -1. Let d be p(x). Solve d*b + 13 = 2*a - 0*b, 9 = 3*a - b for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 12922\/220863 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -702.7605 rounded to one decimal place?\nAnswer: -702.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-2))\/(((-81)\/24)\/27).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22578 and 636?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.06 + -1.94. Let g = -269 - -435. Let k = g - 165.7. What is the nearest to x in 0.4, -3, k?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -4*p**2 - 19*p + 20. Let m(s) = s**2 + 5*s - 5. Let k(q) = -9*m(q) - 2*w(q). Calculate the remainder when 46 is divided by k(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gkgx when four letters picked without replacement from {x: 1, w: 2, z: 1, k: 1, g: 2}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/164 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 24 = -4. Suppose -b*h = -2*h - 60. Is h a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 3 e when four letters picked without replacement from zezbeezkeekblelelz?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -4*t + 7, 5*t = 2 + 3. Let u = 232 + -187. Let o(i) = -13*i - 30*i + u*i. Calculate o(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 + 10*d - 15. Let c be k(6). Suppose 3*x - 9 - c = g, 3 = g. Suppose -x*n = -9*n + 54. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, 0, 0.07 in descending order.\nAnswer: 0.07, 0, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -4*o, 3*q + 5*o + 15 = 8*q. Suppose 16 + 8 = -q*v. Is (357\/v)\/((-1)\/2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -570 or -8\/311?\nAnswer: -570","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -14c9 (base 15) to base 7\nAnswer: -16005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 12*u**2. Let p(j) = j**2 - 2. What is h(a) + 2*p(a)?\nAnswer: 14*a**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -776 + 831. Let x be (-4)\/14 - 112\/(-49). Suppose 12 = b - x. Calculate the remainder when i is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -31*f + 42. Let v be d(-18). Round v to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -3\/4 (b) -1\/5 (c) 2 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12133?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29915, -30352, -30789, -31226, -31663, -32100?\nAnswer: -32537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = -5*k - 19, -12 + 2 = 2*z + 2*k for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1892*d**5 + 344*d**2 + d**4 - 294*d + 306*d**2 - 646*d**2 wrt d?\nAnswer: -113520*d**2 + 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19718*u**2*w + u**2 - 34*u + 645 with respect to w.\nAnswer: -19718*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*x + 4*x - 8*x + x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(5) - (sqrt(5) + (sqrt(5) - (sqrt(10)\/(1*sqrt(2)) - sqrt(5))))) + 6*sqrt(80))**2 + 2.\nAnswer: 2652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -64 - -144. Is d a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -829, -830, -831, -832?\n\"Answer: -j - 828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3241.686 days?\nAnswer: 280081670400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2350+-45.3\nAnswer: -2395.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*y - 3 - 1 - 3 wrt y?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2 + 668943*j + 111629814.\nAnswer: 3*(j + 167)*(j + 222814)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0010054 to 4 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 PM and 2:12 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 b, and 1 j when three letters picked without replacement from {b: 2, h: 1, g: 1, j: 3}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180744 is divided by 171.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13302?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 385e5 (base 15) to base 13\nAnswer: 64049","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 - 0.6. Let i be (-275)\/(-748) + (-2)\/8. Which is the closest to -0.1? (a) 2\/15 (b) w (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*d + 0*d - 5*d + d to s + x*d and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w = -10*w + 173. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/6 of a millennium?\nAnswer: 14000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 544 and 30396.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.3379025 rounded to one dp?\nAnswer: -5.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 220 and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - 9*d - 5. Let g be n(7). What is the remainder when 45 is divided by (2 - g) + 16\/(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 5*d - 29. Let o(j) = 9*j - 57. What is -6*o(u) + 11*t(u)?\nAnswer: u + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 15 (b) -122 (c) -7 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 115.1.\nAnswer: 460.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 102726322 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 64045558 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - y - 37 = 0, -3*m - 2*y + 94 + 7 = 0. What is the lowest common multiple of m and 7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 696*k + 8764 + 735 - 207 = 898*k for k.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2338 - -1666. Let r = -364 - j. Is 16 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 117269823923223\nAnswer: -117269823923222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2791784063.\nAnswer: 53, 97, 439, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - 2\/26*1. Sort -2\/5, k, -0.5, -5 in decreasing order.\nAnswer: k, -2\/5, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 315001?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 PM and 5:58 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnzn when four letters picked without replacement from {p: 5, n: 7, z: 2}?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(-4\/15)*i*i))**(-1\/32) assuming i is positive.\nAnswer: i**(11\/480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -299, -603, -907, -1217, -1539, -1879, -2243?\nAnswer: -2637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -2.8. Let b = -98 + 93. Let s = -3\/22 - 5\/44. What is the closest to s in -0.2, b, z?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of m**6\/120 + 11*m**5\/60 + 2*m**4\/3 - m**3 + 1230*m**2. Give h(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of 14 - 1\/42*o**7 + 1\/15*o**6 + 0*o**5 + 0*o**4 - 8*o + 0*o**3 + 0*o**2. Let c(l) be the first derivative of r(l). Factor c(h).\nAnswer: -h**4*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 22, 97, 230, 421?\n\"Answer: 29*q**2 - 12*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 4*f. Let l(i) = -281*i - 20. Let t(p) = 6461*p + 455. Let s(h) = 91*l(h) + 4*t(h). Calculate v(s(a)).\nAnswer: 1092*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -3*s**2 + 16*s - 18. Let r be x(4). Let a(w) = w**3 + w**2 - 5*w - 2. Calculate the lowest common multiple of a(r) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 0.05 (b) -0.017 (c) -1 (d) -52\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41581778 divided by -2.\nAnswer: -20790889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1304278692.\nAnswer: 2, 3, 17, 653, 9791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 22. Let q(j) = -2*j + 5. Let g(y) = 10*y - 24. Give c*q(p) + 3*g(p).\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 237\/2 + 1\/(-2). Let j be 4\/(3 - 11)*(2 - t). Calculate the greatest common divisor of j and 87.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8787 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((x*x**(-3))\/x)\/x*x)\/x)**(2\/3))**(-38) assuming x is positive.\nAnswer: x**(304\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 758 + -375. Is d a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 10*l**3 + 11*l**2 + 14*l + 25. Let j(p) = -3*p**3 - 4*p**2 - 5*p - 8. Let u be (3 - (-4 + 5))*1. Let i(y) = u*d(y) + 7*j(y). What is i(-4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -94 - -92. Let j be -1*2*(-7)\/f. Is j >= -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 6352 = 17924. Suppose -4*s + j = 4*n, 7*n - 2*s = 6*n + 855. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in five quarters of a meter?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 806, 1616, 2426?\nAnswer: 3236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37713869*r**2 - 3973*r + 351 wrt r?\nAnswer: 75427738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9658908?\nAnswer: 2, 3, 7, 38329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1551955 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -283*c + 49*c - 2 - 38*c as v*c + n and give v.\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 - 13. Suppose u*l = -0*l - 2*b + 17, 2*l + 10 = -5*b. Let v = -59 + 74. What is the greatest common factor of v and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 - 8*k - 6. Let b = -171 - -163. What is f(b)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19079 - 5765 = -4438*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - 7*i**2 - 6*i - 2. Let w be h(-7). Suppose 39*p = w*p - 11. Calculate the highest common divisor of p and 143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*m - 5*m - 2*m - 13*m**2 + 21 - 22*m to s*m**2 + k + f*m and give k.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 852 divided by -71?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -261315, -522643, -783957, -1045257?\n\"Answer: 7*x**2 - 261349*x + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - (0 + (-11 - -4)). Suppose p*t = 83 + 109. Suppose -n + t - 3 = -4*x, -2*n + 4*x = -46. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40326 is divided by 13408.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1643 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.3, -2, -80, -0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2837417 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6891583 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/6287, -1\/78, 129?\nAnswer: -1\/78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than 944434593?\nAnswer: 944434598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1041561.9 minutes?\nAnswer: 723.306875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -8. Calculate the remainder when 30 is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-10304)\/69)\/32*265800. What is y rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1723723 is divided by 143?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -43.8 + 13.9. Let v = -34 - n. Round v to zero dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1617 + -2271. Let z = t + 4580\/7. What is the third smallest value in 5, -1, z, -2\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.679 + 0.479. Which is greater: 3\/74 or n?\nAnswer: 3\/74","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -4*m**4 - 464*m**3 - 456*m**2 + 464*m + 460 = 0.\nAnswer: -115, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.858366m to centimeters.\nAnswer: 885.8366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 17915 - 3929. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2 - 11295*p + 6362320.\nAnswer: 5*(p - 1187)*(p - 1072)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.77 and -0.3?\nAnswer: -0.231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -4*o + 20, -3*o - 4*k = -8 - 7. Suppose u = f - 6, f + u = o*u + 9. Suppose 3*x = -3*c + 81 + 39, f*x - 191 = -2*c. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-27) + 47\/9. Let w = i + -11. Let u be (8*(-3)\/w)\/(-2). Sort 0.5, u, 0.1 in decreasing order.\nAnswer: 0.5, 0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 121\/7 - (-4)\/(-14). Suppose -7*u + 2*u + 20 = -5*m, m - 2 = -2*u. Is 2 + a - (m - 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -119, 1264, 4929, 11986, 23545, 40716, 64609?\nAnswer: 96334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) -3\/4754 (b) 0.1 (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 504376457?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4681 and 589.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 1\/4, 1\/11, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2750*d*w**2 - 3704*d*w + d + 4955628*w**2 wrt d?\nAnswer: 2750*w**2 - 3704*w + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89097?\nAnswer: 3, 17, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 31*m + 532. List the prime factors of g(33).\nAnswer: 5, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/630 and 17\/1568.\nAnswer: 70560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that h**3 + 454*h**2 - 25636*h + 342056 = 0.\nAnswer: -506, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 - -18. Suppose 0 = -4*x - r - 2. Let k = -9 + 5. Put 0.1, k, x in decreasing order.\nAnswer: 0.1, x, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 602, 4735, 15922, 37691, 73570?\n\"Answer: 588*o**3 - o**2 + 20*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1547)\/561*((-504)\/(-91))\/(-6)?\nAnswer: 28\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -9*x**2 + 6*x - 10. Let i be 36\/14 + -3 + (-20)\/35. Let p(l) = -l**2 + l - 1. Calculate i*j(t) + 6*p(t).\nAnswer: 3*t**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-28)\/15)\/(46 + (-38060)\/825). Solve 92*g = h*g + 156 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*y**3 - 78*y**4 - 3*y**3 - 9*y**4 - 35*y + 34*y in the form i*y**3 + s*y**4 + f*y + c*y**2 + z and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 43 - 79 + 29*t + 36 - 98*t. Let s(n) = 2*n. Calculate s(o(y)).\nAnswer: -138*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2694 - -0.0364. What is i rounded to 2 dps?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + (-6 - 11) - -8) + -2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 3 + (-54)\/12 + 1\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 46 + -369\/8. Calculate the common denominator of c and 16\/5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17820813 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = g + 54. Let f = 31 - g. Is 1 + (-1*2 - f) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13585425 and 17175.\nAnswer: 13585425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -84 (base 10) to base 13\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -57 + 183. Let t be (-122)\/14 - 36\/g. Let b = t - -32. What is the greatest common divisor of 138 and b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(68) + sqrt(17) + -2 - -5*(0 + sqrt(17))) + 2 + (sqrt(2448) + 1 - sqrt(2448)) + sqrt(2448) + sqrt(2448) + sqrt(2448)) + -1)**2.\nAnswer: 3696*sqrt(17) + 1184881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n - 73 - 71 = 0. Let f = n + 27. Solve 2*m = -l + f, -3*m - 2*l + 21 = 2*l for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33 - -23. Is 56 less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.735 + -0.065. Let t = y - -0.80032. Round t to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 7*q = -2*q, 0 = 2*w + q. Suppose -3*l + 1903 = 4*s, s - 6*s - 25 = w. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 9*v**2 + 9*v + 1. Let l be j(10). What is the units digit of 2\/l - 94\/(-18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2281.5531 nanoseconds in hours?\nAnswer: 0.00000000063376475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(176) + 4 - sqrt(66)\/(sqrt(54)\/(sqrt(63)\/sqrt(7))).\nAnswer: -1 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of 5\/2*n**2 + 10\/3*n**3 - 1\/4*n**4 - 13*n - 10. List the prime factors of j(10).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n - 437 = -11*n. Let i be 0\/n + (-1)\/(-1)*2. Solve -5*j = 3*x - 7, i*x - 2 - 2 = -3*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 - 2*c**2 - c + 3*c)*(4 - 5*c - 4).\nAnswer: 15*c**3 - 10*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -70, -108, -146?\nAnswer: -184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -12 - -8 - (-5 - -1). Solve -m - 2*m + 6 = h for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183996103 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -6*q**2 + 2*q - 9. Suppose -c + 3 = -1. Let r(i) = -5*i**2 + i - 8. Let m(j) = c*b(j) - 5*r(j). Does 2 divide m(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.4 (b) 5 (c) -282 (d) 0.0623 (e) 8\/5 (f) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - f - 639, -69 = 4*n - 3*f - 916. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -1 - 4 - 4 + g**2 + 3*g + 4. Give y(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31629?\nAnswer: 3, 13, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.56 and 0.3.\nAnswer: 0.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7803 and 146523?\nAnswer: 867","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1488*v - 739*v + 33*v**2 + 300*v - 27*v**2 + (-3*v - v + 2*v)*(3*v + 4*v - 5*v) in the form n*v**2 + b*v + d and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**2 - 12*f + 6. Suppose -28 = -4*r + 4*p, -3*r = r - 2*p - 28. Let d be j(r). Which is greater: -2\/7 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = -q + 5*v, -6*q + 8*q - 4*v - 262 = 0. Calculate the remainder when 258 is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 + -1 + -2 - 9) + 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 14 = 5*s, 3*s + 1 = 3*y + 13. Let m = 20 + -11. Which is greater: s or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 2*d + 33. Let q = d - 40. Let b = q + 106. Does 11 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2250ea - -3?\nAnswer: -2250e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*i**2*j**2 + 111*i**2*j - 4*i**2 + 2*i*j**2 - 54*i + 2*j**2 - 5 wrt i.\nAnswer: 6*j**2 + 222*j - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -317, 5, -2, 103, 4 in decreasing order.\nAnswer: 103, 11, 5, 4, -2, -317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2 - x**2 + 4*x**2 + 3*x**2 - 3*x**2. Let m(i) = -i**2. Let d be (-48)\/22 + 4\/22. Let b(u) = u + 1. Let p be b(d). Give p*s(w) - 4*m(w).\nAnswer: w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 3*b**2 + 3577*b - 21577. Calculate t(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 5*n + 3*d - d, 4*d - 2 = 5*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of 10*m + 47\/2*m**2 - 32\/3*m**3 - 6. Differentiate n(f) wrt f.\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19740000 rounded to the nearest 100000?\nAnswer: 19700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a day in seconds?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13\/8 + -15\/8. Let u = -2.8 - -3.1. Let g = 6529 + -6532. Sort g, 4, z, u in increasing order.\nAnswer: g, z, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4880\/(-8540) + (-25)\/(-7) + -2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = t, 3*k + 461*t - 81 + 1841 = -96 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*f**2 - 20712497*f - 3452083.\nAnswer: (f - 3452083)*(6*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.18 + -0.1. Let q = 0.18 + p. Which is smaller: 1\/2 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32 - -36. Suppose 8*g = 12*g - 4. Put 5, z, g in increasing order.\nAnswer: g, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 225641 to the nearest integer?\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*f**3*r + 25251*f**2*r + 2*f**2 + 101792*f*r + 36*f wrt f?\nAnswer: -84*f*r + 50502*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 1464317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2929 (base 15) in base 6?\nAnswer: 104450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16611 and 8967?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 220649270, 220649271, 220649272, 220649273, 220649274, 220649275?\n\"Answer: m + 220649269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z**3 - z**3 + 3*z**3 + (6 + z - 6)*(-49 + 49 + 41*z**2) + 7 - 7 - 2*z**3.\nAnswer: 38*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -5, 3842\/9, 5, 34?\nAnswer: 3842\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/7 of a week in days?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {o: 1, d: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1\/4, -2.8, -1\/629, -1\/8 in increasing order.\nAnswer: -5, -2.8, -1\/8, -1\/629, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -9*q**3 + 373*q**2 + q + 10. Let l(g) = -5*g**3 + 186*g**2 + g + 6. What is 5*l(f) - 3*t(f)?\nAnswer: 2*f**3 - 189*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10\/(-12))\/((-1)\/6). Solve 0 = u*z - 8*z + 9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/((sqrt(3) + (sqrt(3) - sqrt(6)\/sqrt(2)))*2).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 3\/7, -6\/73, -1 in ascending order.\nAnswer: -1, -0.4, -6\/73, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17566 = 336*j + 539 - 21999 - 8350 for j.\nAnswer: 141","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 5596*t + 23591. What is z(-4)?\nAnswer: 1207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -m - 285, 4*h + 9 = 3*m + 226. Solve -32 = 15*p + h for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169 + 71 = -57*j - 725 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -201100 (base 3) to base 5\nAnswer: -4042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**3 - 4 + 4 + (6*u**2 - 6*u**2 + 15*u**2)*(-16*u - 38*u - 78*u).\nAnswer: -1979*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.36566 minus 82512?\nAnswer: -82513.36566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d - 1200 = -6*d. Let b be 2*d*20\/8. Round b to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7290 + -7191. Calculate the remainder when 505 is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 541198 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.11 (b) 1\/2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 3 (c) -1\/3 (d) -8\/13 (e) 5 (f) 0.4384 (g) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -60*219\/146 - -7.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 26 + (-13)\/((-39)\/(-60))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 575 and 265961880?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -2*i - 7, -3 = -2*p + 4*p + i. Is 2 a factor of 8\/(-12)*-15 + p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1 + 6*(-4 + sqrt(216)\/sqrt(8)))**2.\nAnswer: -1501 + 828*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, 674\/15, 1 in increasing order.\nAnswer: -40, 1, 674\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -238.9544 + -0.0456. Let x = -238.99999456 - o. What is x rounded to 7 dps?\nAnswer: 0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.037 (b) 3\/2 (c) -97\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 4 = -0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of 0 + 0*v**3 + 0*v - 1\/30*v**5 + 0*v**7 + 1\/168*v**8 + 3*v**2 + 0*v**4 + 0*v**6. What is the third derivative of z(h) wrt h?\nAnswer: 120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -1) + 21 + -15.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 13592.\nAnswer: 3\/13592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*k**3 - 3*k**3 + 39*k**3 + (-2*k - 2*k + 2*k)*(3*k**2 + k**2 - 2*k**2).\nAnswer: 28*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 94*s**2 - 1 - 3 + 0 + 3 to m + f*s**2 + v*s and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*j - 201 = 39 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.8 + 2.926. Let m = 1.344 + y. What is m rounded to one decimal place?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 + 12*b + 1. Let z be c(12). Let v = 93 + -94. What is the nearest to -1\/2 in v, z, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -4. Let c = 0.25 + 3.75. Sort d, -0.1, c in decreasing order.\nAnswer: c, d, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28c (base 13) to base 4.\nAnswer: -13012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2509487*j - 532323 wrt j?\nAnswer: 2509487","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -432 (base 5) in base 15?\nAnswer: -7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of -73*l**7\/7 + 111*l**3 + 212. What is the third derivative of y(q) wrt q?\nAnswer: -8760*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2158102 millilitres in litres?\nAnswer: 0.0002158102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -37\/4, 10.42 in decreasing order.\nAnswer: 10.42, -5, -37\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -1579346.987 to the nearest one thousand.\nAnswer: -1579000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2402 - 911 + 793 = -140*y for y.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, z: 3}. Give prob of picking 1 z and 3 x.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 48, 68, 88, 108, 128?\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a factor of 590709?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 - -2) + 7 + 1. Suppose 0 = -5*r + f*r. Suppose 4*w + g + r - 7 = 0, -3*w + 2*g + 8 = 0. Solve -5*b + 10 = -5*l, -w*b - 4 = -l + b for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5845811 or -5845810?\nAnswer: -5845811","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m*m**8)\/m*m**(2\/3)*(m**(-1\/2))**33)**(2\/23))**(-19\/2) assuming m is positive.\nAnswer: m**(779\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h - 8*a = -0*h - 3*h - 12*a + 3*a - 12, -5*a = -74*h + 158 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3097993 - 15801.9187993. Let g = 15789 + s. Let o = g + -0.091. Round o to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004233 to 6 decimal places.\nAnswer: 0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2. Let k(j) = -10*j + 14 + 15 - 29. Determine w(k(y)).\nAnswer: 100*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 926 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 6*n - 30 = 0. Let j(l) be the first derivative of -l**2\/2 - 6*l - 202. Determine j(n).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**2 - 137225515*g - 137225510.\nAnswer: -5*(g + 1)*(g + 27445102)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**3 - 315*v**2 - 1320*v - 1340.\nAnswer: 5*(v - 67)*(v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 4:19 PM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2770 divided by -92.\nAnswer: 1385\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 + 18 - 298*z - 44.\nAnswer: -298*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3704 = 8870. Let o = b - 4132. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -12, 2\/9, 3\/109, 5, 0.4 in descending order.\nAnswer: 5, 0.4, 2\/9, 3\/109, -6, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 20*v**2 + 43*v + 47. Let j be g(22). What is the highest common divisor of 275 and j?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -30*x**2. Let o(m) = -3*m + 13 - 13. Calculate o(g(z)).\nAnswer: 90*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141 is divided by (16\/(-6))\/(-5*(-28)\/(-630))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3447048, 6894186, 10341324, 13788462, 17235600, 20682738?\nAnswer: 24129876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that x**2\/2 + 14805*x + 219188025\/2 = 0.\nAnswer: -14805","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 2*g - 9 = y, y + 4*g = -9. Suppose -5*t - 21 = -2*i, -3*t - 3 = -2*i - 4*t. Which is the nearest to i? (a) 1 (b) -3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1438 or 1\/1387?\nAnswer: 1\/1387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7463870.\nAnswer: 2, 5, 31, 24077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*(-28)\/27 + 2\/(-18). Suppose t*p - p = 26. What is the greatest common divisor of p and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*a - 188 = -21*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9978 + 59723\/6. Find the common denominator of n and 61\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3142950, 6285896, 9428842, 12571788?\nAnswer: 15714734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16*12010.\nAnswer: 192160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4*x = -12, 0 = -2*a - x - 16. Let w(r) = 21*r + 14. Let u be w(a). What is the common denominator of (-924)\/u*-1*1\/2 and 5\/56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 7*h**2 - 9*h - 19. What is g(8)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -219.239 + 219. Let t = y + -2.161. Which is bigger: 4 or t?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -85, -4, -0.1, 42?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1868800 rounded to the nearest 10000?\nAnswer: -1870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-26))\/((-12250)\/38220).\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2*(-3 + -2*sqrt(450))**2.\nAnswer: 360*sqrt(2) + 3614","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 49907136 to the power of 1\/2, to the nearest integer?\nAnswer: 7064","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2. Let k(p) = -13022429*p**2 - 13783*p. Let l(u) = -3779*u**2 - 4*u. Let w(b) = 4*k(b) - 13783*l(b). Give w(z(n)).\nAnswer: -3759*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than -84.1418?\nAnswer: -84.2418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12130655 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7197 = -414*g + 664*g + 947 for g.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 141654305 a multiple of 599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -5*s**2. Let k(l) = -172 + 130*l**2 + 604*l**2 - 175*l + 191*l**2 - 3. Let j(y) = 21*y**2 - 4*y - 4. Let v(g) = 175*j(g) - 4*k(g). Determine v(o(a)).\nAnswer: -625*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 + 11*h - 7. Let p be y(-12). Solve 5*v + 3*s = -20 - 20, 0 = 5*v - 4*s + p for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12553 greater than 1437?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-5)\/165)\/((-12)\/72). Which is the closest to 0.2? (a) -8 (b) 1\/2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*p = -21*p + 8010. List the prime factors of (p\/27)\/(2\/(-3)).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 439700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mp when two letters picked without replacement from {m: 4, p: 1, a: 9}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*l - 4*w, 3*w = l + 3*l - 15. Suppose -4*u - 2*x - 6 = -0*x, 4*u + l*x + 9 = 0. Let s(o) = 3 + 1 + o - 1 + u. What is s(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rnx when three letters picked without replacement from {c: 1, n: 5, x: 1, r: 1, l: 1, q: 3}.\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3+398500\nAnswer: 398497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 554 + -555 + 0\/(-2). Is w > 4\/3969?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -378 - 564*w - 127 - 18 + 144 - 96 wrt w.\nAnswer: -564","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1534731 and -5581161?\nAnswer: 4046430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 5*g = m + 137, 4*m - 267 = -3*g. Is 22 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l**2 + 3*l. Let z(y) = -y**3 - 3*y**2 + y - 5. Let o be z(-4). Let g = o + -10. Let b(u) = -u**2 + 43*u - 39*u - 2*u**2. Give g*b(n) + 4*d(n).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 125522 (base 7) in base 13?\nAnswer: a973","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80290246 is divided by 1906?\nAnswer: 1902","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4684 - -4677. Let i = -8 - -6. What is the closest to h in 2\/11, i, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 2*p + 8. Suppose -2*u = -p, 64 = a + a + 4*u. What is the remainder when a is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*i - 124 = -224 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 30570301 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 5*o**2 + 3*o + 6 - 2*o**2 - 2*o**2. What are the prime factors of q(-7)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5032 + 8785. Let y = o + -1844. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43.46 - 44. Let s = j - -58.54. Let k = 54.7 - s. Round k to 0 decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166*q = 336*q - 210*q + 16720. Calculate the greatest common factor of 22 and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -8*w**3 + w**2 + 4*w + 1. Let o be a(2). Let t = o + 12. Let v = t + 48. Is v at least as big as 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -3*o**3 + 3*o**2 + 5*o + 6. Let m be g(-3). Suppose -m = -k + 3*d, -22 = -4*d - 2. Suppose 4*l = -102 + k. Put -5, l, -9 in ascending order.\nAnswer: -9, -5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.5144 plus 0.19?\nAnswer: 13.7044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 179020291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i + 4*i - 2*i**2)*(0 + 0 + i) + 12*i**3 - 52 + 52.\nAnswer: 10*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/10 of a meter in millimeters?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 35 (c) 2 (d) -0.3 (e) -0.4 (f) 1\/442\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -16. Suppose r + y = 3*r. Suppose 4*c + r*b - 1 = 8*c, 4*b - 12 = 0. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-4) - (-22)\/(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 263 - 241. What is the nearest to -2 in -4\/7, -5, b?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g + 25765273 - 25765273.\nAnswer: 7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 80 - 275 = 0. Let p be (0 - 1)\/(13\/j). Let h(d) = 11*d**2 + 17*d + 6. What is the units digit of h(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-2)*(-12)\/18?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 26553.63 times 6?\nAnswer: 159321.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -16\/49 (c) 2\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 32904777 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*y - 359*y**3 - 79*y.\nAnswer: -359*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2395*s + 1747*s + 606*s**3 - 2887*s**3 - 995*s wrt s.\nAnswer: -13686*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 9 = -11. Suppose t*x = 6*x. Suppose x = 5*p + 5*n - 375, 3*p - 5*n + 4*n = 241. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*m - 0*m - 3*v, -4*v = 2*m. Let u be 3\/((9\/4)\/(-3)). Let i be 0\/m + u\/(-14). Is 0 less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2307 at least as big as 2306?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3, 37, 67, 87, 97, 97, 87?\n\"Answer: -5*q**2 + 55*q - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 2\/11 (b) 0.4 (c) 4 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 8153, 31641, 70729, 125423, 195729, 281653, 383201?\n\"Answer: n**3 + 7794*n**2 + 99*n + 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2818 + -2806. Calculate the smallest common multiple of v and 44.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.02 + 0.02. Let j = -8 - q. Put -1\/2, j, 0.5 in ascending order.\nAnswer: j, -1\/2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -357944*w**5 + 341*w**4 - 2*w**3 + 486517479*w**2 wrt w?\nAnswer: -21476640*w**2 + 8184*w - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 2*q + 2*q)*(5 - 1 - 2)*(-5 + 4 + 2 + (1 - 2 - 1)*(2 - 5 + 4)).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6259 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 879 and 43657?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4\/75 of a hour?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*a = -11*a. Solve 3*y = 2*y - 2*n + 2, y - 4*n + 10 = a for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of a**6\/40 + a**5\/30 + 5*a**4\/24 + a**3\/2 + a**2. Let b(x) = -x - 1. Suppose 106*z = 58*z - 240. Give z*b(c) - m(c).\nAnswer: -3*c**3 - 2*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 14.24411 and 5.\nAnswer: 19.24411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 281, 5, 3, -32, 0, 2 in decreasing order.\nAnswer: 281, 5, 3, 2, 0, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = q + 4. Let y = 15 + q. Let j be 1\/(y + (-17)\/(-6)). Let p(s) = s**2 + 5*s - 1. Give p(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2404 divided by 9?\nAnswer: -2404\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2265828*a**4 + 187*a**3 + 1618989*a**2 - 7*a + 5.\nAnswer: -54379872*a + 1122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 2404.\nAnswer: 1\/1202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1516 is divided by 39?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000057966 to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(19)*4 - (sqrt(209) - sqrt(209)*1 - sqrt(209))\/sqrt(11) - (2 + sqrt(1216) + -3 + 2)**2.\nAnswer: -1213 - 11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 375.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 4, 11, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 9*p = 0. Let b(w) = -w**3 + w**2 - w + 2. Let u be b(p). Suppose d**4 + d**3 - d**3 + 376*d - 3*d**u - 378*d = 0. What is d?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114 + 746 = 79*c for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -9*u**2. Suppose 4*i = r + 16, -4*r = r - 4*i. Let f be 10\/r*12\/15. Suppose -3*w + 8 = 5*z - 3, -3*w + 4 = -f*z. What is c(z)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 19, 49, 105, 193, 319, 489?\n\"Answer: g**3 + 7*g**2 + 2*g + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**2 + 0*h**2 - 337806 - 146818.\nAnswer: -2*h**2 - 484624","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 - 157 = -227*p. Sort p, 6, 5, 8 in decreasing order.\nAnswer: 8, 6, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 58476 and 16.\nAnswer: 233904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l. Let w(q) = -19*q**2 + 8*q - 2606. What is w(x(a))?\nAnswer: -76*a**2 - 16*a - 2606","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2*f - 2 = 0, -f = -5*n - 4*f + 21. Suppose 0 = 2*w - v + 6*v - 30, n*w - 23 = -2*v. Solve w = 2*k - d, -k - 5 = -5*d + 2*d for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -493 + 878. Suppose 7*u - 315 - c = 0. Suppose -6*s = -s - u. What is the remainder when s is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 5. Suppose 0 = 3*n + j*d + 100, -2*n - 64 = -d + 5*d. Let q = 66 + n. What are the prime factors of q?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(-12 - (-5)\/(10\/2)). Suppose k*w - w = 40. Solve w*t + 3 + 5 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - 6*y**2 + 15*y - 4. Let t be s(-8). Suppose 1 + t = -5*l, -j = 4*l - 793. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 - 8*t - 3. Let z be u(-3). Suppose 2*l + 94 = -z. Let y = -34 - l. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 72 - -16. Let z = s - 87. Which is the third smallest value? (a) z (b) 0.36 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 - 0.1. Suppose 20 - 15 = 5*h. Which is the second smallest value? (a) h (b) 0 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2. Let u(r) be the first derivative of 37*r**4\/24 + 9*r**2 - 15. Let v(k) be the second derivative of u(k). Determine v(i(h)).\nAnswer: -37*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j**2 - 3*j + 60 = 0 for j.\nAnswer: -5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 8*n**3 + 2 + 11*n**3 - n + n**2 in the form a + l*n + r*n**3 + m*n**2 and give r.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/24)\/(6\/36).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from njanbbnjbq. What is prob of picking 1 a, 1 j, and 1 q?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -9.001\nAnswer: 36.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of n**6\/15 - 19*n**5\/20 + 2*n**3 - 3*n**2\/2 + 2*n - 19. Find the second derivative of o(h) wrt h.\nAnswer: 24*h**2 - 114*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -656, -5.\nAnswer: -656, -5, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 6*i + 4 = 3*v, -2*v = 2*i + 2. Suppose v = -4*q + 2*q - 10. Let o be (-50)\/q*(-10)\/(-4). What is the greatest common divisor of 275 and o?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f + 8. Let t be h(3). Let g = t + 22. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 30*b**2 + 8*b - 16. Let d be p(2). Let o(q) = -231*q + 113*q + d*q. Let t(s) = 3*s. What is o(t(l))?\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4805522156.\nAnswer: 2, 1201380539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of -u**5\/20 - 7*u**4\/6 + 8*u**3\/3 + 6*u**2 - 3*u. Let v be t(-15). What is the second smallest value in v, 2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 313116?\nAnswer: 2, 3, 97, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*b - 72 = 25*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -214*r**3 - r - 6*r - r + 3*r - 5. Let k be j(-1). Let h = k + -123. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1555, -1553, -1549, -1543, -1535, -1525, -1513?\nAnswer: -1499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + l + 15 = 24, 0 = 4*v + 4*l - 12 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t*(t\/(t*(t\/(t\/t**(-8))*t)\/t*t)*t*t*t)\/t*t)\/(((t**(2\/9)\/t)\/t)\/t))**(-2\/43))**(1\/5) assuming t is positive.\nAnswer: t**(-266\/1935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -11*h - 41. Let k be p(-4). Solve -3*s - 1 = -x - k*x, -3*s + x = -11 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 792 + -794. Sort -6, s, 2\/7 in ascending order.\nAnswer: -6, s, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(99)*-2 - 3*sqrt(44)) + 1)*-4.\nAnswer: -192*sqrt(11) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from fffeefefffejeffefff.\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 3*n**3 - n**2 + 2*n - 1. Let s be l(1). Suppose -29 = -s*q + 16. Suppose 7*c - 4*c = q. Solve -c*a = p + 29, -3*p + 2 = -3*a - 1 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + a - 54. Suppose a*j = -j + 392. What is the greatest common divisor of 238 and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 567960 to the nearest integer?\nAnswer: 754","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + (18 - (-10 + 22) - 29) + 41 + 1.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50431653.\nAnswer: 3, 622613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 8) + (1 - 3) + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xsxs when four letters picked without replacement from {s: 9, x: 9}.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 854.\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -27 - (4 + 8 - (-54 - -11))?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p - 6. Let w = -11 - -6. What is the remainder when 13 is divided by d(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/7)*a)**(-9\/11)\/((a*a**(-1\/8))\/(a*(((a\/a**(-5\/4))\/a*a)\/a)\/a*a*a*a*a)) assuming a is positive.\nAnswer: a**(2335\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-8 - -2) + 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 300143113 - 4?\nAnswer: 300143105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-2 - 19) + (-2 - -3) - -13) + 2 + -81\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(588)*-2*1)\/(((sqrt(6) - sqrt(18)\/(-2*sqrt(3))) + sqrt(6))*-4).\nAnswer: 7*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22926, -45796, -68666, -91536, -114406, -137276?\nAnswer: -160146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to -10\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -132843, -132783, -132723, -132663, -132603?\nAnswer: -132543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 - 1. Let m be o(1). What is the remainder when ((-66)\/4)\/(m\/4) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 46?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*s - 55*s - 18 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of (11*1\/4)\/((-22)\/(-2904))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 3*k - 467 = 0, -3*b + 107 = -2*b - 4*k. Let a = b + -59. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qkk when three letters picked without replacement from {e: 2, q: 3, x: 1, l: 1, k: 6}?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1706006.\nAnswer: 2, 47, 18149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 5*y + 36. Let x(v) be the second derivative of -v**3\/6 - 3*v**2 + 105*v. Let j(u) = 6*x(u) + z(u). Let n(g) = -g + 2. Give n(j(o)).\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/3*-2*(-21)\/(-14).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -23 + 37 - 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + f**2 - f)*(-f - f - 1 - 32*f)*(0*f + 2*f + 0*f) + 0*f**4 + 0*f**4 + f**4.\nAnswer: -67*f**4 - 2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 3)*(8*s - 33*s + 15*s - 4 + 4 + 2*s + (-2 + 2 - s)*(-1 + 0 - 1)).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5d50e (base 16) in base 6?\nAnswer: -12105314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*r + 15 = -37 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/11 (b) -0.08098 (c) -153\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2775 and 185.\nAnswer: 2775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 963 = 6499. Is -1384 at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291856816 to the power of 1\/2, to the nearest integer?\nAnswer: 17084","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j = j - 14 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -4) + 1 + 0 + -3 - -10?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -6*b**4 + 6813*b**3 - 2114136*b**2 + 99259545*b + 261468900 = 0?\nAnswer: -5\/2, 60, 539","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.011, 259, 1\/2 in ascending order.\nAnswer: -0.011, 1\/2, 259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s**2 - 46*s + 54. Let a be b(-24). Suppose -a*n + 6276 = 1146. What are the prime factors of n?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101111 (base 3) in base 9?\nAnswer: -344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**16*v*v*v**(11\/4)*v)**(-44) assuming v is positive.\nAnswer: v**(-957)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4\/5*(-15)\/(-6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 - -1.9. Let x = u - 2. Let f = 11 + -7. What is the second smallest value in -3\/4, f, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -188285\/6 or -193?\nAnswer: -193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k + 21. Let n be h(9). Suppose -4*m + 0*q = -n*q - 100, 4*q - 72 = -2*m. What is the remainder when m is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 4748*c + 52. Let k(r) = 279*r + 3. Give -104*k(z) + 6*v(z).\nAnswer: -528*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -235\/2 - -118. Let h be 0 - -2*6\/8. Which is the second biggest value? (a) h (b) 8 (c) u (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-41)\/123 - (-52)\/12. Solve -77*n + 78*n - a = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 21578?\nAnswer: 151046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -4*q + 12. Suppose -u + 4*u - 12 = 0. Let y be o(u). Calculate the remainder when 14 is divided by 10 - (-3 - y)*2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, k: 1, t: 2, d: 2}. What is prob of sequence dk?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - -d238d4?\nAnswer: d238d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 81 - 76. Let r be 7\/14*(h - -1). Let p be 12\/(-22) - 0\/(-1). Which is the nearest to -0.2? (a) r (b) p (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37422151 * -0.6\nAnswer: 22453290.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 570675675*q**4 - 868188277?\nAnswer: 2282702700*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4)\/22 - 263520\/(-3168) is divided by 19?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102433 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 101*t. Let c be (-10)\/(-105)*3 + (-61)\/(-7). Let i(z) = -z - c*z + 9*z. What is o(i(q))?\nAnswer: -101*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 77, 685, 2329, 5525, 10789, 18637, 29585?\n\"Answer: 86*n**3 + 2*n**2 - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iuii when four letters picked without replacement from {t: 4, m: 1, i: 4, q: 3, u: 1}?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 57.47241 + -58.2488217. Let h = 0.722415 + a. Let o = -0.054 - h. What is o rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k**2 - 2*k + 4. Determine a(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of -m**6\/360 - 7*m**5\/120 + 3*m**4\/8 + 7*m**2. Let d(o) be the second derivative of q(o). What is the units digit of d(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -m. Suppose m = -b + 3. Sort b, 1, 6 in increasing order.\nAnswer: 1, b, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w**2 + 20*w + 4. What is s(-9)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/25 of a kilometer?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1900431101 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/i**(-5\/3))\/i)\/i**(-10))**(-6) assuming i is positive.\nAnswer: i**(-70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1112595 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -13*t**2 - 32*t - 10. Let l be g(-2). Put -2, -6, -7, l in ascending order.\nAnswer: -7, -6, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208)\/(-2*sqrt(8)))\/(sqrt(18)\/sqrt(144)).\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -423 - -463. Calculate the smallest common multiple of j and 1024.\nAnswer: 5120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50511445 (base 6) to base 5\nAnswer: -332041440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -4*w**3 - 4*w**2 - 4*w + 4. Let k(h) = -4*h**3 - 3*h**2 - 3*h + 3. What is 4*k(b) - 3*l(b)?\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 58*z**2 + 44*z**2.\nAnswer: 102*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 3*i - 6. Suppose i*r = -0*r - 3. Let d(w) = 31*w + 30*w - 50*w + 1. Calculate d(r).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -4*t + 12 - 0, -t - 3*v = -8. Suppose -u + 75 = t*m, -2*m - 2*u + 69 = -3. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8.8988 + -9.698898. Let f = 0.8 + v. What is f rounded to five decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.39 + -0.012\nAnswer: 0.378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-8))\/((-26)\/(-8))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -4*l - 5 - 24, 7*m - 50 = -2*m + 4*l for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.925453 and -0.16.\nAnswer: 0.94807248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/1920898654 or 1?\nAnswer: 3\/1920898654","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bskckbbkkbrrkr. Give prob of sequence ksk.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -292 = 7*h - 4*p, 2740*h - 2736*h + 0*p = -p - 157 for h.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 6329, 12661, 18993, 25325?\n\"Answer: 6332*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y*(y**14\/y)\/y)*y*y\/((y*y**(7\/6)\/y)\/y) assuming y is positive.\nAnswer: y**(-61\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3474 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -347*z + 2280 = 109*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - r + 163 = 6*q, -3*r + 27 = q. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 9*j. Suppose 2*x - 66 = 5*n, 4*x - 4*n - 20 = 88. Let p(o) = -40*o + 16*o + x*o. Determine d(p(k)).\nAnswer: -9*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11338*g - 46 - 174509*g + 5*g**2 - 3*g**2.\nAnswer: 2*g**2 - 163171*g - 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**(-12))**(-4)\/((s*s*s**17*s*s)\/((((s*s**(5\/6))\/s)\/s)\/s)) assuming s is positive.\nAnswer: s**(107\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.9? (a) 3\/7 (b) 0.4 (c) 30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2129 divide 170535029?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4562 rounded to 2 decimal places?\nAnswer: -0.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*c - 362 = -826. Let t = -3 + 6. Solve -t*x = -10 + c for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1025\/8200*((-24)\/45)\/(-4).\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -7*y + 8*y + 10 + 3*y. Let i be u(-6). Let a(o) = o**3 + 15*o**2 + 12*o - 18. Is 10 a factor of a(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 65315 and 65315 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-1 + 2 + (1 - 6)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from epxpppeepehjpjpppj. What is prob of picking 3 p?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -2*a**2\/3 + 534553136*a\/3 - 35718381900929312\/3 = 0.\nAnswer: 133638284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2663883967 to the power of 1\/2, to the nearest integer?\nAnswer: 51613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 6, s: 7}. Give prob of picking 1 s and 1 q.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 2:50 AM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2923357 or 67237221\/23?\nAnswer: 2923357","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 - (-6 + -4) - (-33 + 18).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 3*z = 0. Let n be (z + -20)*8\/(-5). What is the highest common divisor of n and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23293?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -580 + 1141. Does 33 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -290 + 300. Solve -5*k + 3*k = r for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 2*t**2 + 4*t + 2. Let n be p(3). Suppose -2*s = -3*s - 225. Let o be ((-24)\/10)\/(18\/s). Solve 5*m - n = -o for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) -4 (b) 1.34 (c) -3\/64\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from axrrooooaofooraroo. What is prob of sequence ar?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5 = -h, c - 10 = -177*h + 175*h. Let x = 27 - 14. Calculate the remainder when x is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) - -2*sqrt(209)*2 - -3*(sqrt(209) + sqrt(209) + sqrt(209)*3))\/(4*(sqrt(33) - (sqrt(33) - -2*sqrt(3993)))\/sqrt(3)).\nAnswer: -5*sqrt(19)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 284 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -6*w**2 + 3827*w - 19159. Calculate x(5).\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*o + 82 - 252 = 0. Solve 0*p + 5*p = -q - 22, 0 = o*p + 5*q + 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(3 + -1 + sqrt(275)) + 3 + -3*(4 + sqrt(275)*2)*3)**2.\nAnswer: 4050*sqrt(11) + 62604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.8 - -4.8000051. What is x rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 + 28*w + 55. What is t(-25)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 3\/25, 3719, -2 in decreasing order.\nAnswer: 3719, 3\/25, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 3. Suppose -q = -o - 5. Let g = o - -16. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 0, 7, 4, -44, -5 in descending order.\nAnswer: 7, 4, 0, -1, -3, -5, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145 is divided by 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.6 less than 0.32?\nAnswer: 20.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40868408.\nAnswer: 2, 7, 17, 42929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -1904.0514 to the nearest one hundred.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -11*f**2. Let q(i) = -10 - 3*i + 10 + 2*i. Determine q(b(z)).\nAnswer: 11*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 15, 2\/7, -10268?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18538 + 370883\/20. Find the common denominator of w and (-117)\/35 + 2\/1.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 194 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 + 8*f - 16. Let k be s(6). Put 0, -5, k, -1 in ascending order.\nAnswer: -5, k, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 0*q - 4*q)*(-155 - 59 + 279 + 160 + 360).\nAnswer: -1755*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 11:51 PM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((24\/20)\/(-2))\/((-1)\/5). Suppose o*a - 16 = -37. Calculate the common denominator of -37\/11 and (-475)\/(-84) - (10\/a + 2).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 23\/4 - (-1)\/4. Suppose p = 16 - q. What is the lowest common multiple of 6 and p?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130 = -0*a + 5*a. Let r(c) = -17*c + 113. Let k be r(7). Calculate the remainder when a is divided by -6 - (k + -5 - 0) - -4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of -15*a**7\/7 - a**4\/2 - 14*a**3 + 13. What is the third derivative of d(m) wrt m?\nAnswer: -1800*m**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -5*i. Let x(y) = -49*y**2 + 19*y. What is r(x(f))?\nAnswer: 245*f**2 - 95*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -2.6, -0.08, -2?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 579 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -32 + (2 - 2 - (-215 + 244))\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*c - 12*c + 7*c - 13*c.\nAnswer: -31*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) 4.34 (b) -2 (c) -0.1 (d) 1 (e) -6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 94 + 100. Let f = -170 - -170. Solve -l*y + 2*y - 4 = f for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/7 + 18454*m**2\/7 + 294880*m\/7 + 1179008\/7.\nAnswer: 2*(m + 8)**2*(m + 9211)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = -r - 12, 9*r - 5*r + 2*p = -18 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/(-10) - 4\/20.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21520*o**4 - 15463*o**3 + 118956872*o?\nAnswer: 258240*o**2 - 92778*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of 6575*g**3\/3 - 3762. Let w(t) = 2*t. Determine u(w(d)).\nAnswer: 26300*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -570, -596, -658, -774, -962, -1240?\n\"Answer: -3*o**3 - 5*o - 562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 151 - 7?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 30*i + 25*i - 19 = 0, 4*i + 4 = 0. Is w not equal to -31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of -2 + -3 + 126 + -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (226344\/7)\/2 - (-390)\/(-273) a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (60\/(-32))\/(8\/(-12608))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 + 13*g + 10. Let n(a) = -3*a**2 + 29*a + 20. Calculate -2*n(f) + 5*y(f).\nAnswer: f**2 + 7*f + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c - 3*c**4 - 1521*c**3 + c**2 + 2*c - 1 + 1519*c**3 as j*c**2 + k*c**4 + m*c**3 + x + h*c and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 a when three letters picked without replacement from {a: 7, i: 5}.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 3 - -1) + -3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2480 divided by -124\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 145334553 (base 6) to base 13\nAnswer: 832305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -544*q + 1949 + 26339 = 0 for q.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10477 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 5*o - 8*o + 13, 50 = 5*o + 4*r. What is the least common multiple of o and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by -25405438.\nAnswer: -5\/12702719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/2)*f)\/(f*f**(-7))*(f\/(f**4\/f))**40 assuming f is positive.\nAnswer: f**(-147\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 104 and 16.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1 - (-2 - 37)) + -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/95, -3\/16, -0.5 in decreasing order.\nAnswer: -1\/95, -3\/16, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbqbh. Give prob of picking 1 h and 3 b.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n + 6*j - 132, 3*n - 5*j + 112 = -j + 50 - 76 for n.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3273817 is divided by 3235.\nAnswer: 3232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 208360\/5209 + 2\/(16\/15 - (-4)\/(-10))\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 4) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r**4 + r**4 + 5*r**4 - r**2 - r**4 + r**2 + (-2*r**2 - 2*r**2 + r**2)*(3 + r**2 - 3).\nAnswer: -2*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*m + 2*m - 45 - 255 = 0. Solve 0 = -j - 2*l + 3, -18*l = m*j - 13*l + 5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/12 - 0\/(-1). Let w be (6\/(-4))\/(6*-1). Let j = 9 + -8.5. Sort v, j, w in increasing order.\nAnswer: v, w, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 72*v + 75*v = -437, n = -v + 226. What is the remainder when 296 is divided by n?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mtttrmeemtetr. What is prob of sequence me?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 43.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9785088.00082 + -9785184. Let a = y - -96. Round a to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x*x\/(x*x**(3\/10)\/x*x))*x)**50 assuming x is positive.\nAnswer: x**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g - 11. Let f be v(5). Let x(p) = -p**2 - 4*p + 8. Let l = 17 + 0. Let i(h) = 3*h**2 + 12*h - 24. Let b(w) = l*x(w) + 6*i(w). Give b(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 5 + 6 = 2*c, -5*b - 19 = -4*c. Let a = -251 + 253. Suppose -7*x - 15 = -2*x, 0 = 2*w - 3*x - 19. Put w, c, a in increasing order.\nAnswer: c, a, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 9:11 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (68\/1309*-7)\/(36\/22).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -3*z - 48, -2*z = g + 4*g + 39. Let q = 15 + z. Find i such that 3*i**5 - 3*i**4 + 48*i - 19 - 5*i**q - 29 - 19*i**3 + 24*i**2 = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zj when two letters picked without replacement from zjhpzjzzzhjz?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 5*d**2 + 6*d - 3. Let o = 5 - 3. Is 29 a factor of a(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 42b92 - 5?\nAnswer: 42b8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65603 is divided by 518?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 s when four letters picked without replacement from {s: 4, w: 9, v: 6}.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.24*-0.156.\nAnswer: -0.03744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-66)\/(-110) + 88\/(-40)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -4. Suppose -14 = 5*g + w + 65, g = j*w + 5. Let t = -6 - g. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (-5 - (14 + -26 - (63 + 7))) + 9.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -11*h**2 - 707*h + 19. Is v(-63) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-24)*-10*3\/((-135)\/(-126))?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 110849 by -49.\nAnswer: -110849\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1257464597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + -2. Let j be (-8)\/(-2)*(-3 + 4)*-2. Let r = t - j. Solve r = 3*v - 6*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 885.\nAnswer: 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 19171 = d, n + 7*d - 4794 = 6*d. List the prime factors of n.\nAnswer: 4793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f*f\/f**0)\/f*f**(3\/10)*f)**(-1\/37) assuming f is positive.\nAnswer: f**(-33\/370)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 224773?\nAnswer: 53, 4241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -3*p**2 - 3*p + 3. Let u be (-1*(4 + -5))\/(2\/(-6)). What is f(u)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*y + 3*y - 6*y - 4*y.\nAnswer: -18*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 57 - 47. Let d = -9 + 14. Which is the second biggest value? (a) l (b) 0.2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11 + 13*s**2 - 12*s**2 - 7 + 11*s - s**2 - 6*s**2 + 2*s**2 + (s - s - s)*(-6*s + 12*s + s).\nAnswer: -11*s**2 + 11*s + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 102155, 203990, 305825, 407660, 509495, 611330?\nAnswer: 713165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1053635093?\nAnswer: 7, 109, 197273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3050)\/35 + 1 - 1\/(-7). Let i be -2*127\/3 - 2\/2. Is i less than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98274a (base 11) in base 12?\nAnswer: 63879a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/6 + (-156)\/120?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(88) + (sqrt(88) - -2*sqrt(88)) + sqrt(88))*-5 - -5*(sqrt(88) - sqrt(88)*-2))\/(sqrt(288) - sqrt(8) - -5*sqrt(32)\/sqrt(4)))**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r**2. Suppose -13 = -4*q - 5. Let o(h) = 2*h - h - h - 2*h**q. Give o(a(g)).\nAnswer: -8*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-18)\/(-4) - (-60639)\/986. Which is the fourth biggest value? (a) q (b) 5 (c) -0.5 (d) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1559*g + 68240 = 660*g - 513*g for g.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2.05 times 0.07038\nAnswer: -0.144279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 10:44 PM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 4*u**3 + 116*u**2 - 512*u + 528 = 0.\nAnswer: -33, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75)*-5 + 1 + sqrt(75))**2.\nAnswer: -40*sqrt(3) + 1201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - 9*t**2 + 9*t - 1. Let v be h(8). Let o be -3 + v + (-73)\/18. Is -1 greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 1:34 PM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1210 - -211?\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1803430 rounded to the nearest ten thousand?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of j**4\/4 + 12*j**3 - 52*j**2 + 75*j - 124. Is m(-34) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(7 + -3)\/(-4). Which is the nearest to 0.1? (a) y (b) 2 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 2*l**3\/3 - 24*l**2 - 600*l - 2592 = 0.\nAnswer: -12, -6, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10510 rounded to the nearest one hundred?\nAnswer: 10500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -24*o + 37. What is the hundreds digit of b(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b**2\/9 + 318160*b\/3 = 0. What is b?\nAnswer: 0, 238620","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 80.5 rounded to 0 dps?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 12927, 0.2, -3, 1\/3.\nAnswer: -3, 2\/13, 0.2, 1\/3, 12927","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -738 (b) 1 (c) -1060 (d) -9.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5*(-5)\/50*((-6)\/10 - 0). Which is smaller: h or -45\/2?\nAnswer: -45\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/35 (b) -1\/4 (c) 3 (d) 20 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 10 = 14. Let z(v) = -v**3 + v**2 + v - 1. Let x(o) = -6*o**4 + 13*o**3 - 5*o**2 - 13*o + 11. Let h(m) = i*x(m) - 22*z(m). Solve h(s) = 0.\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c1c + -23c?\nAnswer: 9e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4010507 (base 8) to base 9\nAnswer: -1874388","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000241584 to six dps.\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 31519 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, -389, -0.1, -2\/9, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -17*a - 132. Let i be l(-10). Suppose i*o - 1042 = 36*o. What are the prime factors of o?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 + 1a?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7 + -13 + 13 + -4. Suppose -3*x + 4128 = -3*g, 3*x + k*g = -0*g + 4110. Is 50 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 66 + -21. Let a = -13506 + 13513. Calculate the remainder when o is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*c**3 + 12*c**3 - 4*c - 7*c wrt c?\nAnswer: 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 389894111 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 4*f**2 + 27*f - 101. Let v be c(5). Let d = -14 + v. Does 15 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -10 and -0.5577.\nAnswer: -10.5577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 11 = 5. Let v(c) = -2*c**3 + 2*c**2 + c. Let t be v(-2). Suppose b - m*b = -t. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -538*m - m**3 + 425*m + 113*m.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(95) - sqrt(95)*4)*-3)\/(sqrt(50)\/(sqrt(10)*4)).\nAnswer: 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z + 0*z - 2*z + (0 - 1 - 1)*(0*z + 0*z + 4*z).\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(1*sqrt(320) + sqrt(320)) + sqrt(320))**2 + -4 + (3 + (sqrt(125)*1 - sqrt(5)))**2 + 4.\nAnswer: 24*sqrt(5) + 2969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -91506*v + 365960. Give x(4).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 35*s - 812. What is d(23)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*c - 3*c**3 + 7*c - 28*c - 309*c**2 + 4*c**3 as f*c**3 + n + m*c + r*c**2 and give r.\nAnswer: -309","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3591 - -2558. Let m = 8169\/8 + j. What is the common denominator of (18\/24)\/(6\/(-188)) and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ba when two letters picked without replacement from kaacbpbbdbad.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1004, -424 in decreasing order.\nAnswer: 0, -424, -1004","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bkb when three letters picked without replacement from {k: 3, b: 5, p: 2, m: 5, h: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-nine fifths of a litre?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 6756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 47832 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + 12*l + 18. Let h be q(13). Suppose 0*u + h*g = u, 0 = 3*u - 4*g - 11. Differentiate 3*v**4 + u - v**4 - 3*v**4 - 1 wrt v.\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + -1322320?\nAnswer: -1322310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(84)\/(sqrt(12) - (sqrt(12) - -1*sqrt(12)))*6 + (-1*sqrt(70)\/(sqrt(10)*-2))**2)*1)*-1.\nAnswer: 1\/4 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5\/2 (b) -44 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 1:48 AM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 2394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -4*w + 5. Let f be r(6). Let p = -13 - f. Suppose 0 = 3*t - s - 12, p*s - 3*s = -5*t + 34. What is the lowest common multiple of t and 7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 18910, -3250 in ascending order.\nAnswer: -3250, 3, 18910","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/11986 and -57\/68?\nAnswer: 407524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5\/(-3))\/((-17)\/51*1). Solve 0 = x*n + 2*v, -n + 6 = 2*v - 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/(-250))\/(9\/(-10))*3.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 2*l - 10 = 0, l = 2*s - 5*s + 9. Let k(n) = 7*n + 8. Determine k(s).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/(160\/1512) + 1\/2. Let j be 1\/(r\/(-25) + 4). Solve 9 = -3*p - 3*v, 3*v + 0*v + 5 = -j*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15519 is divided by 5168?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7586.\nAnswer: 2, 3793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 150852*f*i**2 - 3*f - 264*i**2 + 2215 wrt f?\nAnswer: 150852*i**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 11*g + 1. Give f(-4).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/53133262 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -491.11 - -4990.41. Round z to the nearest ten.\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 440 is divided by 154?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 10) to base 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 274656\/2771 at most as big as 99?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d**(-1\/2)))**(-8))**45 assuming d is positive.\nAnswer: d**(-180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26 + 92.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*w = -41*w - 222. Let m = 1141 + w. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of -7965*u**7\/7 - 1339*u**3\/3 + u**2 + u + 2822. What is the third derivative of q(y) wrt y?\nAnswer: -955800*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 42\/(-35)*(-1)\/3. Let v = -251\/1488 - -1\/496. What is the nearest to j in 3\/5, v, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 208 + -179. Suppose 5*u - j - 181 = -5*h, 2*u = -4*h + 86. Is 41 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + -4*5\/(-4). Suppose -3*u + 44 = 2*f, -u - 2*u + 48 = j*f. Does 4 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -67894*p**2 - 221*p + 374 wrt p?\nAnswer: -135788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -730*x**3 + 1464*x**3 - 732*x**3.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 832?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 188*u + 41*u + 848*u in the form a*u + n and give a.\nAnswer: 1077","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-30)\/(-9))\/((-8)\/(-12)). Solve -5*n + 0*n = q*i - 25, 10 = -3*n + 2*i for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40137228 is divided by 257?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 4*o**3 - 5*o**2 - 2*o - 1. Let k(q) = -431167*q**3 + 1 + 862331*q**3 - 431165*q**3 + q. What is 2*k(m) + y(m)?\nAnswer: 2*m**3 - 5*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does -15222427 = -15222431?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/24, 17392, 6\/7, 0.5?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9448023*1.2.\nAnswer: -11337627.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 0.6. Let z = 9 - 4. What is the biggest value in -2, x, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2180097 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 4*m + 99. Give c(-25).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 77.7 + -78. Which is the biggest value? (a) -1.7 (b) 3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/19 - 6184848*h\/19 + 4781543097888\/19.\nAnswer: 2*(h - 1546212)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 67*f. Calculate x(1).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -5*p + 105, 5*r + 54 = 9*r - p. Solve -5*y + 3*z = -24, 0 = -4*z + 9*z + r for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149346 is divided by 632.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 821017 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -4*z**3 - 332*z**2 + 318*z - 90. Give m(-84).\nAnswer: 1422","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -148173*j**2 - 7*j - 9292581?\nAnswer: -296346*j - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -68 or -4\/31?\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 133961 divided by -29.\nAnswer: -133961\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*s = 130 + 142 + 208 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1577 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, w: 4}. What is prob of sequence wvww?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 242038 to the power of 1\/3, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 6*j**2 - 6*j + 11. Let h be k(-7). Solve 15 = u - h*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 76*g + 1755. Let w be b(-26). Is -1978\/9 != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 19*w**2 - 77*w - 41. Give v(-7).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -16567 take away -1.9?\nAnswer: -16565.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 34 = 4*f - 22, -4*f - 3*v = -35. Calculate the remainder when 57 is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millennium in months?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - d. Suppose d = g - 3*z - 8, 2 = -g - 4*z + 2*z. Factor 2*l**2 - l**2 - 3*l**3 + g*l**3 + 0*l**3.\nAnswer: -l**2*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2fd1 (base 16) to base 10.\nAnswer: 12241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 + -17. Let w(j) = -j - j + t - 5 + 3*j. What is the units digit of w(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 45*b + 21. Let h be y(8). Let p = h - 378. Solve 4*u + p = -v - 2*v, -3*v = u + 3 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32209993.\nAnswer: 47, 685319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 21, -2, 17, -1, -365, -5.\nAnswer: -365, -7, -5, -2, -1, 17, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6 + (-3 - -2) + (8 - 6) + 185. What is the highest common factor of 592 and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 313*j = 305*j - 48 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 6*b = b - 16, 0 = 2*l - 4*b - 26. Solve l*u = 6*u - 9*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w**3 - 2*w**2 + 2. Let q be d(-2). Let r(j) = 2*j**2 - 23*j + 16*j - 8*j + 10. Is 15 a factor of r(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 74317?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k. Let d(h) = 261*h - 3. Calculate u(d(j)).\nAnswer: 261*j - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 254510 and 310.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/2 and 44\/105.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1023*k + 1014*k = -10584. What is the thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 28 + 19 + 8 + 12 + -28.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.2957943 + -650.\nAnswer: -648.7042057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7086, -28287, -63600, -113025, -176562, -254211, -345972?\nAnswer: -451845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 10:41 AM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y - 4. Let s(u) = -u + 5. Let k be s(0). Let q(a) = 8 + 12 - 2*a - 4 - 3 - 10. Determine k*o(h) + 6*q(h).\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 177\/(-12) - 5 - 1148\/(-656)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -17\/7, 17\/3, 1, 9 in increasing order.\nAnswer: -4, -17\/7, 1, 17\/3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 42830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 + 45. Suppose -p*v = -26*v - 104. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/73467 and 73\/559386.\nAnswer: 507363102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - 7*l**2 + 10*l - 15. What is d(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m**2 + 9. Determine v(4).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 155*d - 153*d = 51, d - 30 = 3*z for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-11)\/(-44)*20\/(-15). What is the closest to 1\/6 in d, -0.038, 3?\nAnswer: -0.038","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(68) + -2 - sqrt(68)) + -2)*1 - (sqrt(1088) + -2*sqrt(1088) + 3 + sqrt(1088) + (sqrt(1088) - (1 + sqrt(1088) + sqrt(1088) + 1))))**2.\nAnswer: -80*sqrt(17) + 1113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 12:22 PM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(42)*3)\/(sqrt(72)\/(4*sqrt(12))).\nAnswer: 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sxfsxss. What is prob of picking 2 s?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(3\/2)*u**(3\/4))\/(u*((u*u**0*u)\/u)\/u)**(3\/17) assuming u is positive.\nAnswer: u**(141\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1745370 and 24682.\nAnswer: 12217590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c3 - dc?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.007396004872 + 11040.\nAnswer: 11040.007396004872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 (base 7) in base 14?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 - -33. Suppose 2*q - 293 + 115 = 0. Let a = 98 - q. Calculate the remainder when v is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 53 - 31. Let g be (-4)\/t - 270\/(-33). Let q = 12 - g. Solve 5*a = q*a + 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 14*q**2 - 8*q**2.\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 10.4622?\nAnswer: -4.18488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 0*p + 3*p + 0*p. Let t(d) be the second derivative of -d**5\/60 - d**2 + d. Let q(v) be the first derivative of t(v). Determine w(q(f)).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -41604\/7 (b) -5 (c) -1 (d) 4 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ptpppptppqtppppppppq. Give prob of picking 1 p, 1 q, and 1 t.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 15916*r - 549. Is m(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 696?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 1 = 3*b, 4*d = -0*d - 4. Let i be 3\/(-18) - (-5)\/(-60)*-2. Suppose b = -f - i*f + 15. Solve 5*w - 2*w + f = 0, -4*w = -4*n + 28 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8461 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9275170 is divided by 1108.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*r**3 - 111*r**3 - 33 + 21.\nAnswer: 2*r**3 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 355 = -380 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1628 (b) -3\/2 (c) 505 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -4*k - 10. Let t be z(-4). Let c(l) = l**3 + 4*l**2 + 3. Let w be c(t). What are the prime factors of w\/21 - 2\/7?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*y, 0*f - 5*y = f - 169. Let k = f - 48. Does 21 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yydu when four letters picked without replacement from yyydyyyudy.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2639185\/42 + -62834. Find the common denominator of 53\/2937 and i.\nAnswer: 41118","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4809697478?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.288 - -0.088. Let v = -0.8 + 3.8. Which is the fourth smallest value? (a) v (b) 4 (c) p (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6 - 1) + (-15)\/(90\/(-6186)). What is the highest common divisor of f and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15 * -1287.4.\nAnswer: -19311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -81 - 81?\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 25. Let l = k + -69\/5. Let s be 2\/5 + (12\/45)\/(-4). Which is the smallest value? (a) l (b) -0.06 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 - -64. Calculate the remainder when 86 is divided by c.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -31*y**2 + 498*y + 2. Determine b(16).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -22, -26, -28, -28, -26?\n\"Answer: w**2 - 7*w - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g + 47 = 8. Suppose -37 = -2*u - g. Let w(f) = -f**3 + 17*f**2 - f + 26. List the prime factors of w(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7355\/361 less than -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, v: 2, q: 1, c: 1, k: 1}. Give prob of sequence qc.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5800 = 170*v + 660 for v.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-3)\/(-9) - (-3 + 200\/(-24))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.7, 12, 88, 0, -4\/7 in increasing order.\nAnswer: -0.7, -4\/7, 0, 12, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 7*f + 20. Let o be (-4)\/f*(-2)\/18. What is the biggest value in 1, o, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of -1\/44*i**4 - 4\/33*i**3 - 5 - 2\/11*i**2 + 0*i. Factor d(j).\nAnswer: -j*(j + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d - 8. Let f(v) = -v + 3. Let c(a) = -17*f(a) - 6*k(a). Let j be c(-3). Suppose j = z - 5*i + 2, 4*z + 7 = i - 1. Which is bigger: z or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-1))\/(-2)*8. Let d be 2\/s + (-543)\/(-12). Suppose 5*c = d + 25. Calculate the greatest common divisor of 154 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -4*i**2 + 948*i - 49. Let c(r) = -3*r**2 + 632*r - 35. What is -7*c(l) + 5*p(l)?\nAnswer: l**2 + 316*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 422 - 423. Let y = -0.037 - 31.963. Let d = -31.7 - y. Which is the closest to 2? (a) 0.03 (b) d (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 119 divided by -5\nAnswer: -119\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 9331 (base 10) to base 2\nAnswer: 10010001110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}