diff --git "a/data/dm_maths/full_data/10499_11255.jsonl" "b/data/dm_maths/full_data/10499_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10499_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Simplify (u**(1\/7)\/(u\/(u*u**(-1\/9)*u)*u))**(-2\/37) assuming u is positive.\nAnswer: u**(-4\/2331)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6357 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -252 + 486. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/28*20\/(-15)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a and 1 g when four letters picked without replacement from {z: 2, a: 5, g: 8}?\nAnswer: 16\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -7512000 rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 - 10*b + 13. Let j = -6 - 5. Let w be m(j). Solve -2*l - w*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147 - 68*t - 76*t - 1335.\nAnswer: -144*t - 1188","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 14 - 13 + 48*f**3 - 44*f**3 - 6*f**2 + 4*f**2. Let d = -3 + 6. Let t be (-1 + d)*2\/(-4). Give z(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47412144 to the power of 1\/4, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**3 + 15*j**3 - 5*j**3)*(-4*j**2 + j**2 + 0*j**2).\nAnswer: -27*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1727758642.\nAnswer: 2, 863879321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 94 = -46. Let p = 4823 + -4823.5. What is the third smallest value in n, p, -6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -74*h - 370. Calculate u(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10327 + 9435. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 124 = 60. Is d a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -765516\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.78749084 rounded to three dps?\nAnswer: -1.787","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 171976041 or 171976040?\nAnswer: 171976040","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(4\/9))**(-10\/9) assuming n is positive.\nAnswer: n**(-130\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43964381?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-11496)\/(-36) - 5\/(15 - 0) is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64076 to the power of 1\/2, to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 + (13 - (-36 - -47))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c*c*c**1*c*c))\/c)**(18\/5)\/(c\/c**(-2\/11)*c\/(c*(c**7*c)\/c*c)) assuming c is positive.\nAnswer: c**(-417\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 68, 143, 218, 293?\n\"Answer: 75*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1848 is divided by 62.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 + 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -2\/19 (b) 940441 (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/23 (b) 0.4 (c) 0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 10\/21 of a week?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((162\/(-24))\/(-1)*-2).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 294933?\nAnswer: 3, 17, 5783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 58 = 5*f - 48, -8 = 4*f - 3*o for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -366*v + 373*v - 14 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**4\/7 - 2672*c**3 - 87441198*c**2\/7 + 24991216*c - 87478609\/7 = 0. What is c?\nAnswer: -9353, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -c5 (base 14) to base 10\nAnswer: -173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 76 - 2. Let f be (-2 - -13) + (-6 - -69). Is u >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -m**3*z**4 + 2*m**3*z**2 + 2*m**3 - 260*m*z**5 - 2*z wrt z?\nAnswer: -24*m**3*z - 15600*m*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6275 + 16316. What is the hundreds digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 2*o + 21. Let s(g) = g**3 + 8*g**2 + 7*g + 6. Let z be s(o). Let y be 20\/z - 2\/6. Does y = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y**2 + 187*y + 5. Let u(w) = -3*w**2 + 280*w + 7. What is 7*i(v) - 5*u(v)?\nAnswer: v**2 - 91*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 570 = -618*j - 48 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(2299))**2 + sqrt(2299) + sqrt(19) + 0.\nAnswer: 12*sqrt(19) + 2299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 4*p - 2 = 2, -3*l + 31 = -4*p. Suppose 0*c = -3*c. Let r(k) = 2*k**2 + 24*k - 46. Let f be r(-14). Solve -4 = -l*t + 5*h + 1, c = 2*h + f for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5443, 21792, 49041, 87190, 136239, 196188, 267037?\nAnswer: 348786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + a**2 + a + 1. Let i(p) = -7*p - 247 + 140 + 101 + 5*p**3 - 6*p**2. Determine -i(y) - 6*j(y).\nAnswer: y**3 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 PM and 1:09 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 9:45 AM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17590491.\nAnswer: 3, 677, 2887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2370298 rounded to the nearest 100000?\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 520, 1050, 1580?\nAnswer: 2110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-10)\/(-15))\/(2\/27). Let r(q) = 0*q - 2*q + q + w + 0*q. Let a be r(7). Solve 3 = -x - a*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19672 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 15*j**2 + 19*j - 62. Let d be h(3). Calculate the greatest common divisor of d and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k**4 - 5 + 5 + (83*k**2 - 81*k + 81*k)*(4*k**2 - k**2 - 2*k**2)*(-2 - 1 - 1).\nAnswer: -328*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 85874519?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 - 6. Let b = a - -47. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 2*b - 4*h + 44, 57 = 3*b - 3*h. Suppose 18*m = b - 6. Let s(n) = -n**2 + 5*n - 3. Let u be s(2). Solve 0 = 3*t, -4*a - u*t + 11 = -m for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of 0*b + 0 - 3\/8*b**4 - 1\/2*b**3 - 1\/120*b**6 - 3\/20*b**5 + 8*b**2. Calculate the lowest common multiple of 10 and r(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 76.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 - c**2 + 5 + ((-3*c + 2*c + 3*c)*(-2 + 2 - 2) + 0 + 0 + c - 24*c + 47*c - 27*c)*(c + 2*c - 2*c).\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-five eighths of a litre?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - 19*i**2 - 26*i - 32. Let b be r(20). List the prime factors of (b\/(-21))\/(-8)*-7.\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/2 + 1\/2*n**2 - 2*n.\nAnswer: (n - 5)*(n + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -5*l + 32. Let b be c(20). Which is greater: b or -69?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -1\/1082865?\nAnswer: -1\/1082865","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 27788*f**4 - 2*f**3 + 1788621.\nAnswer: 111152*f**3 - 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005360248 to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 351.6 - 353.3. Which is the fourth biggest value? (a) 4 (b) -0.6 (c) 0 (d) -2 (e) j\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*b + 51 = -22 - 533 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -0*z + 1. Let p be 2*(4 - (-1)\/z). Solve 5*v - 4 = 3*g, -3*g - p = 5*v - 26 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 + 6)*(-1)\/1. Let x be (-1)\/n - 40\/75. Let l = -1.9 + 2.1. Sort x, 2, l in decreasing order.\nAnswer: 2, l, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10011000100110000 (base 2) to base 12.\nAnswer: 39268","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 95 and 134471607.\nAnswer: 672358035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b**2 - 38*b + 134. Let q be h(3). Solve -3*d + 15 = -0*d, 22 = q*c + 4*d for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 18*z**2 - 31*z + 146. Calculate o(-20).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35380094*l*m*v**2 - 3*l*m*v + 909*l*m - 2*l*v - 2*l - 12*m*v + v wrt v.\nAnswer: 70760188*l*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, -0.15, -0.4 in decreasing order.\nAnswer: 39, -0.15, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 - -20. Let n be 47\/y - 4\/(-14). Let u = n + -47\/5. Which is the closest to -1\/4? (a) u (b) 1\/4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 4*j + 8 = 7*z, -4*z + 17 = 5*j. Suppose l + z*l = 20*l. Solve l = -0*q - 4*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of v**7\/525 + v**6\/150 - v**5\/50 - 12*v**2. Factor k(w).\nAnswer: 2*w**2*(w - 1)*(w + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 75. Let w be 3 - 3 - (0 + 0). Let h be d(w). Suppose -5*y + h = -0*y. Is y a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m, 1 s, and 1 n when four letters picked without replacement from {n: 8, s: 5, m: 3}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 25429267 to the power of 1\/3, to the nearest integer?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/(-95))\/(-3) + 17251\/86255.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 3*s - 2 - 3 = 0, -4*l - 2 = -2*s. Let i = -0.125 + 1.415. Let w = i + -5.29. Is l greater than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rs when two letters picked without replacement from rvrrrvrrrrvsvr?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9471 and 99?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (11 + -3) - (495 - 505)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxaagxaaxxxxxp. Give prob of sequence xx.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of (6\/1)\/(4\/50)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -104 + (-140 - 5) + 379.\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -2*p + 20. Suppose -1 = -c, u + 4*c = -c + p. Suppose 0 = -q + i - u*i + 225, -915 = -4*q - i. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/7 in 1\/7, 0.0388, -4\/7?\nAnswer: 0.0388","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/12 and -59\/102?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kbbbkkbbkkbb. What is prob of picking 2 k and 1 b?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1043003*n**6 - 5*n**4 + 9701441*n**2 wrt n.\nAnswer: -125160360*n**3 - 120*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -465 + -1811.1\nAnswer: -2276.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6016994 or 6017011?\nAnswer: 6017011","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-4\/15)\/v*v*v**(-3\/4))\/(v\/v**(1\/6)*v*v)**(-1\/10) assuming v is positive.\nAnswer: v**(-11\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3392 by 4.\nAnswer: -848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at least as big as 0.3373171?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -9\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*d - 82012 = -154*d. What is the remainder when d is divided by 65?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 4*h - 1148 - 136, 325 = j + 3*h. What is the least common multiple of j and 230?\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95968933 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2 = 2*k - 2*j, 22 = 5*k + 2*j. Let i(o) = k - o**3 + 4*o**2 - o - 6*o**2 - 2 - 3. Let p be i(-1). Is p greater than -0.27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-50)\/60)\/(1\/7 - 104\/336).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 40698?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 18 = f + 4*u, -39 = 4*f - 5*u. Let o(n) = n**3 + 8*n - 6. Let r(c) = c**3 + 9*c - 7. Determine f*r(i) + 7*o(i).\nAnswer: i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ninety-eight fifths of a millimeter in micrometers?\nAnswer: 19600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 73\/80 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-12) - 266\/(-280).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202 is divided by 45?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - 7*q**2 + 7*q - 3. What is the lowest common multiple of 1 and n(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -149.8 + 149.84961. Round l to 3 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -64 + 102. Let g = 58 - q. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 69213.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 50 = 5*o. Suppose -4*x - 5*y + 7 = -o, 4*y = -5*x + 10. Is x\/(6\/303)*-13 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 18.33 and 7?\nAnswer: 128.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -3.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-45)*5)\/((-39)\/(-5499))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/3)\/(1\/9). Let n be ((-11)\/((-748)\/(-24)))\/y. What is the smallest value in -0.01, n, 4\/7?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6528 and 17847936.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -372*t + 229 - 229 + (t - 2*t + 3*t)*(0 - 5 + 3).\nAnswer: -376*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 1 + 1 = 0. Suppose 2*y + 53 = o*u + u, 5*u - 85 = 4*y. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2309 divide 811250987?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 26*y**2 + 27*y + 65. Let o be c(-25). Suppose -98 = -o*f - 8. Let x(i) = i**2 + 6*i. Let q(t) = t**2 + 7*t. What is f*x(n) - 5*q(n)?\nAnswer: n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of d**10\/5040 - d**6\/360 + d**3\/3 + 1. Let c(x) be the third derivative of y(x). Find the third derivative of c(o) wrt o.\nAnswer: 120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of -k**7\/210 + 79*k**5\/60 - 31*k**3\/6 + 98*k**2. Differentiate p(d) wrt d.\nAnswer: -4*d**3 + 158*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*d = 89*d - 252. Let w(t) = -16*t - 1. Let k be w(-1). Let x be d\/k*(-10)\/(-4). Calculate the greatest common divisor of 6 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - 62?\nAnswer: -5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 3:52 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 273*p + 58. Let r(h) = -133*h - 33. Calculate -5*r(i) - 3*x(i).\nAnswer: -154*i - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*b*o**3 + 1590*b*o**2 + 4*b*o - b + 18*o**6 + 37*o**5 - 2*o**2 wrt o.\nAnswer: 48*b + 2160*o**3 + 2220*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 + 2*v - 1. Let y be h(1). Suppose -2*b + y*o + 13 = -o, -5*b - 4*o + 26 = 0. Let p be (5\/4 + (-9)\/4)\/(-1) + 5. Solve -p = 3*g - b*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w**3 - 660*w**2 + 324*w + 328 = 0.\nAnswer: -1\/2, 1, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -8, 0.5, 3, 246, 4\/3, -21, -0.7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 11*f + 2. Let p be b(3). Suppose 6*y = 14*y. Suppose y = m - p - 0. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence grq when three letters picked without replacement from {r: 2, q: 2, g: 1, j: 1, n: 1, z: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2287 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 9 - 4*j + 10 + 2*j - 10 + (2 - 3 - 2)*(2*j + j - 4*j))*(3*j + 2*j - 4*j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 + 2*s**2 - 2*s**2)*(s + 5*s - 5*s)*(332 + 17*s - 332) + 54*s**4 + 6*s**4 + 46*s**4.\nAnswer: 89*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - 5*n + 3*n)*(-3*n + 3*n + n**2) + 2*n**3 + n**3 - 2*n**3 - 2*n**3 + 4*n**3 + 0*n**3.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 490, 1944, 4368, 7762?\n\"Answer: 485*k**2 - k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 66*k**2*n**6 + 2*k**2*n**2 + 5*k*n + 2*k - 104*n**4 - 97*n**2 wrt n.\nAnswer: 7920*k**2*n**3 - 2496*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k\/(k*k**(-8)))\/k)\/(k**(2\/13)\/k))\/(k*k**(1\/3)*k*k\/((k**(-5)\/k)\/k))*(k\/k**2*k)**(-6\/7)\/(k**1\/(k\/(k**(2\/3)\/k)*k*k)) assuming k is positive.\nAnswer: k**(11\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 91 - 83. Suppose 5*n - 4*a - 293 = m, -n - 3*a = -64. Suppose 19 = f - n. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 331 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 43663 = -4*z, -2*z - 21799 = -4*z - 5*k. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -17*m + 10*m + 36*m - 18*m. Let q(w) = -4*w - 3. Let o(h) = 3*h + 2. Let u(b) = 3*o(b) + 2*q(b). Give z(u(t)).\nAnswer: 11*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-532)\/56*4\/(-19). Suppose 0*x + 1\/3*x**y + x**4 - 1\/3*x**5 + 0 - x**3 = 0. What is x?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 10. Let x(s) = -s**2 - 23*s + 152. Let r be x(-28). Put l, -3, r in decreasing order.\nAnswer: r, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 5:35 PM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31778783346877\/2541498630 + 1\/115522665. Let f = -12500 - r. What is the common denominator of f and 49\/20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n - 20*t + 7*t + 38, -2*n + 50*t - 46*t = 2 + 12 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -740 (base 13) in base 15?\nAnswer: -575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2 (b) -0.27 (c) 4\/31 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150911?\nAnswer: 229, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 56\/6*6\/4 and 6\/9 - 290\/(-15)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2 - 8*o + 6. Give r(6).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2799, 2803, 2809, 2817, 2827?\n\"Answer: a**2 + a + 2797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 131*y - 404*y + 136*y + 868 + 136*y in the form t + m*y and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 11:09 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 + 10*c**2 - 21*c**2 + 27 + 8*c**2.\nAnswer: -3*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11499 in 1\/5, -3\/5, 2\/11?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wnwbmmwwwwmmwmwww. What is prob of picking 1 n and 1 w?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14591?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 1)*(-14441*z + 7857*z + 7766*z).\nAnswer: 3546*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-4)\/(-5))*-32*378\/12600.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32 - 26. Suppose -r*j + 48 = -42. What is the smallest common multiple of 33 and j?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b. Let y(m) = 2*m**3 + m - 1. What is 2*s(d) - y(d)?\nAnswer: -2*d**3 + d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -126 - -241. Suppose b = 3*f + 16. List the prime factors of f.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 3*l = 0, -4*v + l - 12 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -5*o - 4*b, o + 2*b - 8 - 4 = 0. Let n(z) = 3*z - 10. Let t be n(o). Suppose 0 = 2*m + 2, t*k + 0*m + 4*m - 8 = 0. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 23 = 6*p. Let u = 54 - p. Suppose 23 = -4*d + u. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 64*j**5 + 111776*j**4 + 167524*j**3 + 6956*j**2 - 41876*j + 6980 = 0. What is j?\nAnswer: -1745, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2891*d**2*u**4 - d**2*u**2*v**2 - 14*d**2*u*v**2 + d**2*u - d**2 - 5*u*v wrt u.\nAnswer: 34692*d**2*u**2 - 2*d**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, 2\/11, 5, 3.\nAnswer: -38, 2\/11, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -16, -1.2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2513, 2523, 2533, 2543, 2553?\nAnswer: 2563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -100*g + 1. Let t(b) = -101*b + 1. Let u(h) = 4*t(h) - 5*y(h). Is u(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4668 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(432) - 1*sqrt(432)) + sqrt(432))*-1 - (-1*(-1*sqrt(432) - sqrt(432)) - sqrt(432)))*-1*3)**2.\nAnswer: 15552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -1. Suppose 5*f + 1 - 21 = i. Is 2 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65781 is divided by 295.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of 0*w**4 + 0 + 16*w**2 + 0*w**3 + 1\/20*w**5 + 0*w - 1\/40*w**6. Find n, given that a(n) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.4, 0.13, -5\/6, 3329, 0?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 264740 is divided by 959.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -0.4 (c) -2 (d) 11\/5 (e) 2 (f) 29 (g) 0.029\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8 - (3528\/(-9) - -10). Calculate the greatest common factor of 3770 and j.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12456, -13697, -17062, -23613, -34412, -50521, -73002?\nAnswer: -102917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w + 12. What is q(11)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/30, 0.1, 1\/4?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1, 19, 55, 113, 199, 319, 479, 685?\n\"Answer: j**3 + 2*j**2 + 7*j - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -412 + 433 = 7*j. Solve -j*d = -d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123979.\nAnswer: 123979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (14 - 1) + (-2277 - -2273)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -10*k**2 + 5*k + 11. Let z(u) = -5*u**2 + 3*u + 6. Suppose 13*c - 16*c = -14*c + 66. Determine c*g(x) - 11*z(x).\nAnswer: -5*x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 11 + -6?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*z + 2*p - 6*p, 0 = 4*z - 5*p - 30. Let d(h) = -9*h**2 + 10*h - 15*h**3 - 1 + z*h**3 + 11*h**3. Is d(10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134172 + 27576 = -252*z. Calculate the lowest common multiple of z and 1457.\nAnswer: 13113","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-9) + 14\/(-42). Suppose 4*z - 998 + 330 = y. List the prime factors of z.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 42\/(-15)*5*(-4)\/(-62). Is -2 not equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - 1) + (-20 - -24) - -15.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - 4*f + 2. Let l be p(3). Let n be 1 - (1 + (2 - l)) - -122. Calculate the greatest common factor of n and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 257 a factor of 215414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 274838144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.25 plus -715438590315?\nAnswer: -715438590314.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*n**4 + 560*n**3 + 6595*n**2 + 14050*n - 59136 = 0 for n.\nAnswer: -384\/11, -11, -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-20)*(68 - 58) - (-3 + 6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -30809, -123214, -277221, -492830, -770041?\n\"Answer: -30801*k**2 - 2*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 7 + 7)*(2 - 2 - 2)*(4*k - 3*k - 3*k).\nAnswer: 80*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10271 = -1355*v - 41219 for v.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**2)**(4\/5))**49)**34 assuming o is positive.\nAnswer: o**(13328\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11322098 is divided by 1886997.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of 769*v**4\/8 - 47*v**3\/3 + 8*v**2 + 11. Is g(15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 63688*r**3 - 12727*r**2 - 5?\nAnswer: 382128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ymoooomyoooqokkkq. Give prob of sequence qykm.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 20\/(-6)*9\/(-6). Let d = -27 - 88. Let y = -111 - d. Solve 0 = 2*w - y*p, x*w - 4*p = -7*p for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -2*k - 2. Let s be k\/10*-2 + 0. Which is the nearest to 1? (a) s (b) -4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -1\/9*y**3 + 2\/3*y + 3 + 1\/6*y**2. Factor i(h).\nAnswer: -(h - 2)*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1718 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c = -11*c - 122. What is the third derivative of c*z**2 + 58*z**2 + z**4 - 125*z**2 wrt z?\nAnswer: 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 102*w + 1840. Determine g(-18).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -p**5\/300 + p**3\/30 + 13*p**2\/2 + 5. Let l(z) be the second derivative of y(z). Determine j, given that l(j) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -270 + 381. Let s = 219 - b. What is the remainder when 34 is divided by (4\/6)\/(8\/s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6326.874 seconds in milliseconds?\nAnswer: 6326874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5887.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 389*v**2 + 14023*v\/2 + 171.\nAnswer: (v + 18)*(778*v + 19)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3\/68 (b) 0.1 (c) 3.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-10 + 39) - -16) + -21.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 2*g + 2*g**2 + (36*g + 39*g - 79*g)*(-1 - 2*g + 1))*(2*g**2 - g**2 + 4*g**2).\nAnswer: 50*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (9 - 4) + -10\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15001?\nAnswer: 7, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 236905*t**2 + 236912*t**2 - 473810*t**2.\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 159253391.\nAnswer: 11, 257, 56333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 - -28. Suppose -o*d - 4*f - 2 = 0, 2*d + 0*f = -5*f - 3. Which is the second smallest value? (a) -1\/4 (b) d (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -466.26020927 + 466.26. Round m to six dps.\nAnswer: -0.000209","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 21*o**2 + 20*o + 4. What is p(-20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 108, 166, 220, 264, 292, 298, 276?\n\"Answer: -y**3 + 4*y**2 + 53*y + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1813074911.\nAnswer: 6151, 294761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-74)\/5 + 12\/15. Let w = -15 - o. Which is greater: w or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.2 + 3. Let o be (12\/15)\/((-3)\/(-15)). Suppose 4*m + 0 = 4*j + o, -4*j + 5 = -m. What is the third biggest value in m, c, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 7) to base 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -2331626.\nAnswer: -2331626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.11, 3\/11, -0.3, 1, 4, 2\/21 in decreasing order.\nAnswer: 4, 1, 3\/11, 0.11, 2\/21, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 4*z - 0*f - 14, -3*f - 6 = -3*z. Suppose -173 + 53 = -z*p. Suppose 22 = 5*w - q, w - 5*q = -4*w + p. What is the highest common factor of 32 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3 - 802*p + 803*p - 3. Calculate j(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 1:35 PM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -3*n + 21, -3*f + 43 = -2*n + 13. Let b = 6 - f. Let p(l) = l**3 + 5*l**2 - 4*l + 5. What is p(b)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q**3 + 6*q**2 + 7*q + 6. Suppose 5*y = v + 3*y + 8, -y = 4*v + 14. Let l be i(v). Is (0 + -2 - l) + 3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -1\/4 (c) 1\/4 (d) -0.1 (e) 55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (11 - 14) + 3*-1. Let a be (-161)\/(-49) - f\/(-21). Suppose -2*b = -9 + a. Solve 3 = b*d - 0*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (3 - 0)) + 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f - 2820 = -16*f. What is the lowest common multiple of f and 141?\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of 5*c**3\/3 - 2*c**2 - 25*c - 39. Let r be o(-4). Calculate the highest common divisor of 71 and r.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 46675664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.953115t to milligrams.\nAnswer: 4953115000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5.6 (b) -43850 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 134 and 12.\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 92714 divided by -3050.\nAnswer: -46357\/1525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -592.8 - -593.2. Let m = 0.03 - 0.43. What is the closest to m in 9, -2\/7, a?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61785 + 20594 + 20596 + n + 20595 - 2*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -6, 4\/7 in increasing order.\nAnswer: -7, -6, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -68021.0910067 - -68021. Let d = l - -0.091. What is d rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 712177 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14731 + 14741. Calculate the remainder when 8158 is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-3)*51\/(-34)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 80, 434, 1400, 3284, 6392, 11030, 17504?\n\"Answer: 51*l**3 - 3*l + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4\/91 + 115\/546. Which is the third smallest value? (a) h (b) 0 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -79097 - 4?\nAnswer: -79101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -7*j + 35129. Let y(x) = 4*x - 107. Determine b(y(s)).\nAnswer: -28*s + 35878","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 4*p - 36 = 0, 4*m + 4 = 7*p - 3*p. Calculate the remainder when 23 is divided by 2 + (m - -1) - -14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 432 and 335448.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 10. Let p be i + 1 - (4 - 1). Solve -5*d + 4*u + 45 = p, -35 = -d - d + 5*u for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 9 + 25 = 0, 0 = -3*v + 5*m - 35. Let p be v\/26*(-12)\/15. Which is bigger: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 z when two letters picked without replacement from czmmcwm?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*y**2 - 19*y**2 + 8*y**2)*(-3 + 2*y**2 + 3) + y**3 - 5*y**4 + 4*y**4 + y**3 - 5*y**4 + 2*y**4 - y**4.\nAnswer: -15*y**4 + 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 + 24. Let h be b - -2 - (0 + -3). Find the third derivative of 129*n**5 - 124*n**h + 0*n**2 - 6*n**2 wrt n.\nAnswer: 300*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-41*516\/(-17630))\/(((-6)\/(-45))\/2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100278749.\nAnswer: 100278749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2)*(23*c**2 + 0*c**2 + 30*c**2) + (-3*c + 5*c - 3*c)*(3 - 3 + 2*c) + 0 + 0 - c**2.\nAnswer: -109*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 - 5*o**2 - 6*o - 9. Let t be f(4). Let h be 9\/1 + -3 + 1. Is (-2)\/h - 6237\/t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/6479 and -26\/589.\nAnswer: 6479","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -222112200 - -11?\nAnswer: -222112112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -6*o**2 - 15*o + 15. Let t(i) = -i**2 - 2*i + 2. Let y(p) = 2*q(p) - 15*t(p). Let r(b) = -13*b**2. Determine r(y(l)).\nAnswer: -117*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven thirds of a millennium?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 9:43 PM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + -14 + -60 - -59?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -18297*r + 73197. Give t(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4*o - 40 = -4*m, 5*m - 106 = -6*o. Solve -o*a + 30*a = 14 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2382.72 - -2350. What is h rounded to one decimal place?\nAnswer: -32.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7485?\nAnswer: 3, 5, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 4 = -8. Suppose -3*d + j = -2*j - 336, t*d - 452 = 2*j. Calculate the smallest common multiple of d and 6.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*t + 291. Suppose t = y - 239. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3173611 and 816.\nAnswer: 152333328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -19174, -38359, -57544, -76729, -95914?\n\"Answer: -19185*w + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of 3*s**8\/56 - s**4\/3 + 3*s + 3. Let g(b) be the first derivative of l(b). What is the third derivative of g(n) wrt n?\nAnswer: 360*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1536\/98560*(-14)\/6.\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7466480 and 560.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102359 is divided by 167.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3*z - 23. Let f(h) = h + 2. Determine -f(x) + m(x).\nAnswer: -4*x - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*w = -13*w - 243 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1210 - -5275. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1673 + -1537. Solve 129*r + 7 = l*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(3\/5)*n*(n*n*n\/n**4*n)\/n*(n**(-2\/9))**(-25))\/((n*n**(-1\/8))\/n*n\/(n**(-6\/13)*n))**14 assuming n is positive.\nAnswer: n**(5719\/2340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilometer in centimeters?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v + 21. Let o be c(-7). Suppose 4*h - o - 23 = -2*p, h = -p + 5. Suppose h*m + 154 = 1544. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.066 and -11807935275.\nAnswer: -11807935274.934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 383010 - 163363. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -127.933 + 128. Let o = -1870.133 + 1870. Let s = o - q. Which is greater: 40 or s?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {a: 2, q: 2, v: 4, w: 5}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 354 divide 6242374758?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 798509*d**2*o**2 + 8*d**2*o - 88*d**2 - 12*d + o - 1 wrt o.\nAnswer: 1597018*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 2, 141, 0.\nAnswer: -3, -2, 0, 2, 141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55012 is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20940?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3186 is divided by 88.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11122 + -12110202000222?\nAnswer: -12110202012121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 13 = 3*u, 492*f - 474*f - 5*u = 38 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nzbzfzzzfifz. What is prob of picking 2 z and 1 i?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -2*f - 2. Suppose -4*s + u + 17 = 0, -2*s + 3*u + f*u = -31. Let h = 20 - 18. Solve h = 5*j - s*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 2)*(w - 2*w + 2*w)*(0 - 1 + 0 + (0 + 2 - 4)*(1 - 2 - 1) - 5 - 1 + 2).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4*l = -3. Let c = l + 7. Let f(o) = -3*o + 5. Let p(z) = z - 1. Determine c*p(v) + f(v).\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.42 rounded to 0 dps?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5\/20)\/((-26)\/(-56)). Let b = f + -15\/52. Let p(k) = -23*k + 645. Let t be p(28). What is the nearest to t in b, 3, -0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 s when four letters picked without replacement from {s: 1, i: 3, c: 4, r: 4, h: 6, j: 1}?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1710 and 6463458?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/160522 and -29\/4.\nAnswer: 321044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*v = 15*v - 147 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h. Let g be d(2). Let a = g - 3. Let t be -2 + (5 - (-1 - a)). Which is greater: t or -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 256, 707, 1392, 2341, 3584, 5151, 7072?\nAnswer: 9377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of s**4\/12 - s**3\/6 + 17*s**2. What is l(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 13 - 7 - 5 - 4*n + 0*n + 9*n**2. What is the remainder when 76 is divided by d(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - -1. Suppose 4*f = -g*j + 2*j + 138, 0 = 5*f - 5*j - 165. List the prime factors of f.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 6, z: 4, d: 1, h: 2}. Give prob of picking 2 v and 1 h.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1222013 (base 4) to base 11.\nAnswer: -5114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 60 and 12025.\nAnswer: 721500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 4 + 1. Suppose -34004 = -w - 4*y, -w + g*y + 67995 = w. What is w rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2530135 (base 8) in base 5?\nAnswer: -134404014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.74 + 1.43. Let y = 0.31 + n. Suppose -8*w = 16 + 24. What is the nearest to 1 in -1\/9, y, w?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 15*z**3 + 2*z**2 + 2*z + 1. Determine q(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 219 - 213. Let y = -4 + 3. Let r be t*(-2)\/4*y. Solve -2*g + 6*g - 5*w = -40, -3 = 3*g + r*w for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 572.30024 to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -12?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1311 + 4?\nAnswer: 1315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a tonne in kilograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21 + -302?\nAnswer: -323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1432 (base 6) in base 13?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 - 13*a**2 + 27.\nAnswer: -13*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 63, 150, 283, 468, 711?\nAnswer: 1018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1268*o - 6*o**3 - 1268*o.\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.18 - 1.75. Let t = 2.07 + h. Suppose -l - 19 = -0*l. What is the nearest to l in 2\/21, t, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 u when two letters picked without replacement from {d: 1, u: 8, j: 8}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 11 + (2 - (3 + -5)). Let q be (-82)\/(-6) - 10\/r. Suppose -q*w + 50 = -3*w. Solve 3*x = -w*b - 13, -2*b = -7*b + x - 9 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10920, -10870, -10760, -10554, -10216, -9710?\nAnswer: -9000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -4*y - 728, -3*p = -y - 89 - 76. Let o = -127 - y. What is the remainder when 947 is divided by o?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9\/10, 17.45, 2\/7 in increasing order.\nAnswer: 2\/7, 9\/10, 17.45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 - 6*g + 3. Suppose 0 = -4*t - 4*o - 7 + 19, 2*t - 2*o = 14. What is i(t)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.43 at least as big as 0.154?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 43*n - 178. What are the prime factors of b(7)?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*v**2 + 33*v - 6*v**2 + 11*v**2 - 33*v.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 divided by 29?\nAnswer: 17\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 3*z + 3008 = -4*n, 2*n - 3008 = 4*z. What is the tens digit of n - (104\/(-32) - (-4)\/16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.6 + -0.55. Let t = -0.55 - m. Suppose -4*d = -2*q - 14, -3*q - 21 + 7 = d. Put t, 2\/3, -2\/5, q in increasing order.\nAnswer: q, t, -2\/5, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*l, 2*d - 10 = 3*d - 5*l. Let z be 1*(-9)\/9*-4. What is the third derivative of 0*r**z - d*r**2 - 13*r**4 + 6*r**2 - 6*r**2 wrt r?\nAnswer: -312*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -92539147 divided by 109?\nAnswer: -848983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1944.659885641 - -1944.66. Round q to 6 decimal places.\nAnswer: 0.000114","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 43\/3 of a year?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -12*h**3 - 88*h**2 - 92*h - 7. Determine d(-6).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n**2 + 3*n + 69. Give r(13).\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6 - ((-1461)\/348 + -2). Let r = g - -3\/58. Put -0.05, -0.4, r in decreasing order.\nAnswer: r, -0.05, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13424 + -13622.18. Let n = q + 198. What is the closest to -1 in 2\/3, n, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kj when two letters picked without replacement from {j: 3, k: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 + 17*l + 2. What is the lowest common multiple of t(-19) and 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -54*w. Let r(y) = 23*y**2 + 7229*y - 14454*y + 7225*y. Give r(g(b)).\nAnswer: 67068*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {s: 3, i: 4, c: 2, d: 1, u: 3, a: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6265*g**3 - 54 + 3*g**4 - 33*g**2 - 3122*g**3 - 99*g - 3128*g**3.\nAnswer: 3*(g - 3)*(g + 1)**2*(g + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1\/5 - 1092\/(-15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = 2*o + i, 2*i - 6 = -i. Let b(s) = 4*s**2 - 135*s + 833. Let v be b(31). What is the greatest common divisor of o and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2 - 21\/4*y**4 - 49\/4*y**5 + 0 + 0*y + 6*y**3.\nAnswer: -y**2*(y + 1)*(7*y - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -625410 to the nearest 1000.\nAnswer: -625000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -135 - -618. Calculate the remainder when s is divided by 123.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g**2 - 2*g**2 + 20*g - 9*g - 2*g**2 - 567*g**3 - 10*g in the form a + t*g + b*g**2 + n*g**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 94 + -81. Suppose 2*x - z = -x - 5*w, 0 = -5*w - 20. Let p(v) = -6*v. Let c(q) = 12*q. Give x*p(k) + 6*c(k).\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/28)\/((-6)\/28)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence taa when three letters picked without replacement from habebhaehxathhahx.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-6))\/(14\/84).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3753 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r - 45*r + 3*r + 0*r + 10*r.\nAnswer: -35*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 40.65925 litres?\nAnswer: 40659.25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -23\/3 (b) 2 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*u**3 - 4 + 0 + 39*u**3 - 13*u + 4.\nAnswer: -u**3 - 13*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-3) + (-480)\/(-9). Let f be (-1000)\/((-3)\/a*1). 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: Suppose -2*v + 564 = 4*m, 2*m = m + 2. Suppose -142 = -3*n - 5*z, -5*n - z + v = -3*z. Let r = n - 54. Solve b + 2*b = r for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.73 + -7.13. Which is the nearest to -1? (a) y (b) -5\/3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -6. Let b = i - -2. Let t = 5.6 + -6. What is the smallest value in b, t, 2\/11?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 132583, 2, 4 in increasing order.\nAnswer: 2, 4, 132583","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.220085 - -0.22. What is f rounded to five dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2062 (base 7) in base 9?\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 495 - 3?\nAnswer: 492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 n when three letters picked without replacement from nnonzunnunon?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 5957993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25721.\nAnswer: 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 432, 46.\nAnswer: -4, 2, 46, 432","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -1769.628 to the nearest ten.\nAnswer: -1770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m**3 + 570*m**2 + 13518*m - 3055. Give r(307).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 422496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (4 + -2 - -2)) + 1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12 + (-9 - -22))*2\/(-3). Which is the second smallest value? (a) z (b) -0.5 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -5*d**3\/4 - 105*d**2\/2 + 5705*d\/4 - 2745\/2 = 0.\nAnswer: -61, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 690619 to the power of 1\/3, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 10*l**2 + 296*l + 5440. Let n(u) = -19*u**2 - 592*u - 10886. Let t(m) = -11*h(m) - 6*n(m). Suppose t(o) = 0. What is o?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**9)\/((y**12*y)\/y)*y*y*y**1*y**(-2\/5)*y*y)**(-10) assuming y is positive.\nAnswer: y**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 429 = 11*p, -2*n + 2*p = 558951 - 559029 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81924 is divided by 16383.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 491569?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -3*y - 9. Let p be d(7). Suppose g + 0 = 4*h - 12, 4*g - 37 = -h. Let z be p\/g + (-3)\/12. Let f(u) = u**3 + 5*u**2 + 3*u - 4. Calculate f(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1423 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1309 * 64\nAnswer: -83776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - f + 185 = 0, 0 = -4*x - 4*f + f + 159. Suppose 4*k + m - x = -k, -k + 4 = m. Suppose -4*w = k - 24. Solve 0*u = w*u - 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.84 - -0.14. Let n = g - -5.854. What is n rounded to 2 dps?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -0.4 (b) 0.9 (c) 70.4 (d) -0.3 (e) 1505\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6234 is divided by 112?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1406*d - 876 = 1479*d for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 - 16. Suppose -4*f + 6*f + k*n - 365 = 0, -3*f + n + 575 = 0. What is f rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44685?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1624.2 + 1628.2. Which is the closest to -6? (a) -2 (b) -3\/5 (c) -30 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 135, 257, 393, 543, 707, 885, 1077?\nAnswer: 1283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, 86315, 18, 0.3?\nAnswer: 86315","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1090 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - -25247240?\nAnswer: 25247240.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9768 rounded to two dps?\nAnswer: -1.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 133103201030 + -3?\nAnswer: 133103201021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d + 16. Let m be k(-6). Suppose x + 3*p = m*x - 6735, 4*x + p = 8975. Calculate the common denominator of 78\/x + 2\/(-11) and -65\/12.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 21*i - 43. Give a(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11036416121 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12249837*w**3 - 6995884*w**2.\nAnswer: -73499022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -215*v + 55. Let x be (-21)\/12*(-15 - (5 - 0)). Let h(d) = 24*d - 6. Let r(j) = x*h(j) + 4*l(j). Differentiate r(i) wrt i.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppd when three letters picked without replacement from eewpdsedspedpeewww.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 59*d + 295. Let c be l(-8). Let v = -174 - c. Solve 19 + 2 = -v*m - 3*r, 4*m + 5*r = -30 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 3) to base 15\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 2299476?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 111 - -81. Suppose -3*l - b = -249 - k, -2*b = -6. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 521483.7 decades in centuries?\nAnswer: 52148.37","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -136, -570, -1292, -2302?\n\"Answer: -144*j**2 - 2*j + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 448 = -m. Does 14 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -30.40035.\nAnswer: -91.20105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 2526\/19 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 12:01 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 0 - 18 = 0. Let m be (-6)\/(-3) - i\/4. Factor 0*r - 1\/2*r**5 - m*r**4 + 0*r**3 + 0 + 0*r**2.\nAnswer: -r**4*(r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -56 - -56. Solve 4*i - 6*i - 8 = a for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9216 - 9221. Put -9, p, -6 in descending order.\nAnswer: p, -6, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 3\/40358954?\nAnswer: 3\/40358954","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (7 + -2)*21\/5. Let i(x) = 1 - x + 0*x + 2*x. Let s be i(6). Calculate the greatest common divisor of f and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 997a8a (base 11) to base 7.\nAnswer: 16346654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*d - 28*d + 20*d + (3 + 0 - 1)*(d - d - d) to the form t*d + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2020.00176ns in days?\nAnswer: 0.00000000002337965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j*j**(2\/15))\/j)*j)\/(j*(j**(-5\/2)*j)\/j*j))\/((j\/(j*j**(2\/31)\/j))\/j**(-1\/16)) assuming j is positive.\nAnswer: j**(10183\/7440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 11*o**2 - 9*o + 8. Suppose -7*a + 5*a + 20 = 0. Let n be c(a). Let v be (n\/45)\/((-78)\/10). Which is smaller: -2\/7 or v?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.9 - -2. Let r = -12 + 15. Suppose 5*d - d = 0. What is the nearest to c in 1\/3, r, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -5*k - 15079 - 3197, 0 = -3*k + 6. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 752142 - 788244729\/1048. What is the common denominator of l and -1\/2?\nAnswer: 1048","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 46, 72, 102, 136, 174, 216?\nAnswer: 262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 6. Let i be w(0). Let d be ((-4)\/i)\/(8\/60). Suppose -d = 4*n - 53. Which is greater: 10 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 260, -3959, 4, 5 in decreasing order.\nAnswer: 260, 5, 4, -3959","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -3\/4, -4, -879.\nAnswer: -879, -4, -3\/4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 5*w = 10, -2*f + 6*f - 3*w = 6. Suppose -3*d + d - 8 = f. Let j(p) = -p**2 - 5*p. Let q be j(d). Solve s + 1 = -q for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12032800.\nAnswer: 2, 5, 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 13*d - 96. Give o(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5 = 9. Calculate the lowest common multiple of u and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 89613 to the nearest one thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22630507 to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of -n**6\/120 - 3*n**5\/20 - n**4\/8 + 11*n**3\/2 + 593*n**2 - 5*n. Determine d(-7).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/258 and -36\/215?\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**6)**(6\/11))**(1\/12) assuming b is positive.\nAnswer: b**(3\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -43*o**3 + 4*o**2 + 4. Let j(r) = r**3 + r**2 + 1. What is 4*j(i) - t(i)?\nAnswer: 47*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -80.1*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 0 - (7 - 4)) + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 PM and 4:03 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -38 and 262621.\nAnswer: -9979598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 931 and 539.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**2 + 9*s + 24. Determine o(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 157 divided by -285605\nAnswer: -157\/285605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*r + 4*r - 3*r**2)*(4 + 5 + 4 - 2 + 0 + 0 + (-4 + 0 + 5)*(0 + 0 + 2) + 1 - 5 + 1 + (4 - 5 + 0)*(-6 + 2 + 2)) in the form t*r**2 + y*r + k and give t.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 0)*(3 + 5*a - 3 - a + a - 2*a + 3*a + a - 3*a + (4*a + a - 4*a)*(2 + 1 - 2) + a + a + 0*a) to the form d*a + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/12 and -35\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.075 - -0.07665. Round o to four decimal places.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1173656 at most -1173436?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9189*x**2 + 9648*x**2 + 13115*x**2 - 31951*x**2.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 174 = -4*v, -8*s = -10*s - 3*v + 64. Suppose -s + 38 = -4*m. Solve 0 = 5*o - 2*k + 6*k - 8, m = o - 4*k - 16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3*p**3 - 3*p**2 + p + 1. Suppose -3*o + k + 3 - 1 = 0, 2 = o + k. What is c(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 53823 and 12?\nAnswer: 215292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4*5\/(-8)*2. Is -1 - (-210)\/t - -4 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 257*v + 55 = 262*v. Let i(s) = 3*s + 4. Let l(p) = 6*p + 7. Give v*i(x) - 6*l(x).\nAnswer: -3*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 148\/28 + (-1 - 1) + -3\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r**2 + r**4 + 3 - 2*r**3 - 7 + 6*r**3 - 4*r - 2*r**3 to i*r**4 + d + f*r + o*r**2 + z*r**3 and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k - 8. Let b(g) = g**2 - 8*g. Let o be b(9). Let q be t(o). Differentiate 0 + 2 + s - q wrt s.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g**3*z**2 - 389*g**3 - 19*g**2*z**2 + 3*g**2 - 2*z**2 wrt g?\nAnswer: 6*z**2 - 2334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of -v**5\/60 - 11*v**4\/24 - v**3\/6 - 5*v**2. What is the tens digit of y(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7211 divided by 4\nAnswer: 7211\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 341 and 130975?\nAnswer: 1440725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6354 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 173987 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000041707 rounded to 7 decimal places?\nAnswer: -0.0000417","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-10)\/8)\/(4\/(-48)). Solve i = 4*b + 5*x, 4*b + x = b + 14 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42261193 rounded to the nearest ten thousand?\nAnswer: 42260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a**2 + 47*a - 10. Let y be u(-16). What is the first derivative of 25*h + 107 + 78*h - y*h - 19 wrt h?\nAnswer: 97","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-1*(-5 + (1 + sqrt(52)\/sqrt(4) + -2 - (sqrt(13) - -4*(sqrt(13) + -1) - (sqrt(637) + sqrt(637) + -1 + sqrt(637)))**2)).\nAnswer: -16715 - 475*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 5*h + 50, 3*q + 2*h = -h - 174. Suppose -9 = n - a + 13, -47 = 2*n - a. Let u = n - q. List the prime factors of u.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -71, -385, -955, -1781?\n\"Answer: -128*q**2 + 70*q - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 6:49 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 551 or 549?\nAnswer: 549","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of -83*b**8\/336 + 31*b**4\/8 - 5*b**2 + 1. Find the second derivative of r(q) wrt q.\nAnswer: -1660*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 v, and 2 o when four letters picked without replacement from {c: 1, o: 4, w: 7, v: 1}?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11.0468 + 3.0468. Sort -0.5, 2.5, 2\/15, m.\nAnswer: m, -0.5, 2\/15, 2.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 11:13 PM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 37030501 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3144*q + 11. Let f(k) = 6287*k + 27. Give 2*f(w) - 5*j(w).\nAnswer: -3146*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5450 + 65347\/12. Let j = w + 14\/3. Sort -1\/4, 1, j in decreasing order.\nAnswer: 1, j, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*b**5\/4 - 1085*b**4\/4 - 61904*b**3 + 136330*b**2 + 765100*b + 635500 = 0. What is b?\nAnswer: -62, -10\/7, 5, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5030315 (base 6) in base 14?\nAnswer: -62691","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f**2 + 2*f**2 - 21*f**2 + 6*f**2 - f**2 + 19*f**2 + 2*f**2.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6 + 5 + (1 - 2*2). Let m be (-55)\/(-25) + -2 - w\/15. What is the third smallest value in -4, 0.4, m, -29?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -399 + 405 - (1 + 3)\/((-10)\/(-14)). Let w = 71 + -31. Sort k, w, 4, -4 in increasing order.\nAnswer: -4, k, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 139*w + 1. Let o(u) = -6*u + 14. Let g be o(2). List the prime factors of x(g).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n**4 + 3*n**4 + 2*n**4)*(0 + 0 + 1) - 2*n**4 + n**4 + 3*n**4 + 194*n**4 + 174*n**4 - 403*n**4 + (13*n**3 - 14*n**4 - 13*n**3)*(2 - 3 - 1).\nAnswer: -4*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2249 - 31*w + 2*w**4 + 2251 - 3*w**3 + 11*w + (6*w**4 - 24*w**4 - 15*w**4)*(-5 + 4 + 0) as h*w**4 + q*w**3 + a*w + k*w**2 + g and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -527.\nAnswer: 5\/527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1316960990?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.1 (b) 3 (c) -0.3 (d) 47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 8:41 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1015.78584 rounded to zero dps?\nAnswer: -1016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -892\/237 smaller than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + t + 3*k - 9 = 0, 2*k = t - 9 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 44128 = 4*v, t + 6 = 3*t. What is the ten thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -31*q**3 + q**2 - 3859 wrt q.\nAnswer: -93*q**2 + 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f, 0 = n - 5*f + 8*f + 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d. Let r be g(-19). Let u be (r - -18)\/((-1)\/3). Differentiate 8 + 15*i + 11*i + u*i + 13*i wrt i.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 228899935.\nAnswer: 5, 11, 19, 19913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -105837 rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30913 is divided by 30885?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24) - sqrt(24)*-4)*4)\/(4*sqrt(300) + sqrt(300)).\nAnswer: 4*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -3*i**2 - 9. Let u(r) = 7*r**2 - 2*r + 8. Let k(a) = 25*a**2 - 7*a + 29. Let q(f) = -2*k(f) + 7*u(f). Suppose -12 = -y - 2*y. Give y*m(t) - 18*q(t).\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -867.2 rounded to the nearest ten?\nAnswer: -870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15936 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.5 + 1.4. Which is the nearest to -0.1? (a) 1\/4 (b) 5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of -2 + 0*x**3 + 3\/8*x**2 - 1\/16*x**4 + 1\/2*x. Let i(p) = 0. Calculate p.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000010363924 to 6 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 29 = -a - 2*a + 206, 2*a + 73 = -2*i - 33 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -5*s**4 - 2090*s**3 + 4265*s**2 + 27350*s + 21000 = 0.\nAnswer: -420, -2, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t**3 - t**3 - 4*t**3 + (-2*t - 1 + 1)*(-2*t**2 - t**2 + 2*t**2) + 10*t**3 + 4*t**3 - 7*t**3 to the form v*t + l*t**3 + j + f*t**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 27\/7, -1020, -0.4 in ascending order.\nAnswer: -1020, -0.4, 1\/2, 27\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27441528 by 3.\nAnswer: -9147176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 4*w = b - 2*w - 12, -b + 11*w = 10*w - 3 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78 - 464 = -36*b - 218 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -79.6 - -80. What is the biggest value in 6, -2\/7, o?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t = -6 - 1 + 37. Suppose x = -5*q + 2, -4*q - 6 = -0*q - 3*x. Put t, q, 47 in descending order.\nAnswer: 47, t, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1233068611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*s**4 + 451*s**2 - 43*s**3 - 150 + s**3 - 225*s**2 - 224*s**2 - 83*s**3 wrt s?\nAnswer: 48*s - 750","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a meter in millimeters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2662 is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54114, 53854, 53594?\nAnswer: 53334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 8, h: 5, d: 3, v: 3, j: 1}. What is prob of sequence hhvv?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, -2, 756, -5, -41 in descending order.\nAnswer: 756, 3, -2, -3, -5, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 2 in ascending order.\nAnswer: -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.16*-19664.\nAnswer: -3146.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - 11*u + 12. Let b be y(13). Suppose 0*n - 4*w + 43 = 3*n, 0 = 2*n + 5*w - b. What is the highest common divisor of n and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**3\/8 - 7455*f**2 - 263171319*f\/8 + 169600064799\/4.\nAnswer: -3*(f - 1034)*(f + 10457)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*y + 10*y + 5*y)*(5 + y - 5) + 30*y**2 - 19*y**2 + 18*y**2)*(2 + 2*y - 2).\nAnswer: 82*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1319 (base 11) in base 2?\nAnswer: 11010110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - (-84)\/(-15)) + (-104)\/260. Let p(b) = b**3 + 24*b**2 + 22*b - 26. Let a be p(-23). Sort a, 2, z, 3 in decreasing order.\nAnswer: 3, 2, a, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 8*c**5 + 26*c**4 + 68*c**3 + 74*c**2 + 68*c + 14. Let v(y) = y**5 + y**4 - 5*y**2 - y - 1. Let b(l) = u(l) - 6*v(l). Solve b(h) = 0.\nAnswer: -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 333 = -349. Let b be -1 + m - (19 + -13). Solve -u + 50 = b*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98) + -4 + (sqrt(98) + sqrt(98)*-1 - sqrt(98)) + 3)*2)**2 - (-5 + 1*sqrt(98) + sqrt(98) + (sqrt(98)*-2)**2 + 5 + -2).\nAnswer: -386 - 14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.2 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1849 and 774?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -138454, -276899, -415332, -553747, -692138, -830499?\nAnswer: -968824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-2 + 2600955\/1300473) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 11*c**3 - 7*c**3 + c**4 - 4 + 0*c**4 + 3*c**2 - 4*c = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, z: 1, d: 1, e: 2, b: 1, u: 2}. Give prob of picking 2 u.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44 and 148.\nAnswer: 1628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23 and 133093364?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -35 divided by 624554\nAnswer: -5\/89222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - -14. Let 4*b**4 - 8*b**4 - 14*b**y + 6*b**2 - 22*b**2 - 6*b = 0. Calculate b.\nAnswer: -3\/2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of 0*c - 2\/3*c**3 - 8*c**2 - 3 + 1\/24*c**4. Calculate m(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 9:20 PM?\nAnswer: 9:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/12 + 4218\/(-760). Is 13 greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77143 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 56.035 + -56. Let d = 39.965 + k. Let a = -27 + d. Is a greater than -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - 18*l**2 - 54*l - 214. Calculate f(-16).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211 is divided by 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of 15\/4*x**4 + 5\/2*x**5 + 2*x - 11\/6*x**3 - 2 - 3*x**2. Factor i(q).\nAnswer: (q + 1)**2*(5*q - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 + 18*a - 30. Calculate i(12).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 + 3*c - 6. Calculate i(9).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4532, 0.3, 2, 0.5?\nAnswer: 4532","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38004038?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -78*x - 4. Let b(s) = 72 + 39*s - 18 - 52. Determine 9*b(n) + 4*h(n).\nAnswer: 39*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 90 and 945.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 46.195 to 0 dps.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (-3 + 1 - 7 - 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -280*r - 12620 + 73839 = 1059*r - 9748 for r.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-14*8\/(-2240))\/((-4)\/30)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5679.81 - 5680. Let w = 1.1 - 0.1. Which is greater: z or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zx when two letters picked without replacement from {z: 1, i: 3, n: 3, x: 4}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4430918653 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 271298?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 27537 (b) -40 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25995 - 15345. What is the ten thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -7. Suppose k*m - 4 = m. Suppose 174 = 3*x - 4*p, 5*x + m*p + 10 = 300. Is 19 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52 and 299.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f + 60 = 84 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 16*s**2 - 50*s - 6. Determine j(-12).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 2*w - 4, h + 4*w - 3*w - 1 = 0. Solve 3*j**5 + 6*j**h - 6*j**4 - 169 + 169 - 3*j = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 227448313?\nAnswer: 373, 609781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 - -736520243?\nAnswer: 736520278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(9\/(72\/(-4)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3545092 * 0.3.\nAnswer: 1063527.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-336)\/(-40) + -3 - (-4)\/(-10). Suppose d*w - 1606 = 1179. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -104593790 rounded to the nearest one hundred thousand?\nAnswer: -104600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/(-132)*-10 + (75 - 28840\/385). Which is the smallest value? (a) -3 (b) l (c) 4 (d) 4860\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-5) - 230\/50. Let s(w) = -w - 2. Let l be s(x). Solve -3*g = p + 13, 2*g + 4*p + l = -0*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1003244.\nAnswer: 2, 11, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -5*g - 21, -27*h + g = -22*h + 63. Let r(k) = 3*k**3 + 37*k**2 + 4*k - 3. Let v be r(h). Is v greater than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/928 and -7\/464.\nAnswer: 928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 116.6809 - 116.7. What is k rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 - ((-30)\/70 - 104\/(-14)). What is the hundreds digit of z\/(440\/24)*-1345?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -3*b**4 - 33\/2*b + 0*b**2 - 45\/2*b**5 + 3 + 39*b**3 = 0.\nAnswer: -1, 1\/5, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.32595044 rounded to one dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*n - n. Let b(g) = -g**3 + 9*g**2 - 9*g + 3. Let q be b(8). Sort -4, n, q in descending order.\nAnswer: n, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n + 32326 = -9144. Calculate the greatest common divisor of 130 and n.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -7214\/7 - -1030. Let x(c) = -c**3 - 5*c**2 - 6*c - 3. Let q be x(-4). What is the second biggest value in 2, q, o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o + 2*o - 9*o + (-3 + 1 + 1)*(o - 1 + 1) + (-4 - 5 + 1)*(1 - o - 1).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-16)*(48\/(-18))\/((-260)\/150)?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 equal to 304?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**4 - q**4 - 3*q**4 + (-q**2 + q - q)*(-2*q**2 + 3*q**2 - 3*q**2) + (5*q + 6*q - q)*(8 - 8 + 4*q**3).\nAnswer: 41*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - 5. Let p(l) = 6*l - 8. Let j be p(u). Suppose 4*y + 2*h - 152 = -j, -3*y + 88 = 5*h. Is 12 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/2 of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 2754*b + 40 = 2758*b, -4*b = -u - 25 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -89 + 95. Calculate the least common multiple of r and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**3 + 1900*v - 1900*v + 49*v**5 - 2 + 2 + 6*v**5 + (1 - 1 + v)*(5*v**4 - 3*v**4 - 4*v**4).\nAnswer: 53*v**5 + 3*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -1214647 to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (374 + 355 - 690)*(l - 2 + 2) + (-2 + 0 - 4)*(4*l - l - 2*l) + 7*l - 5*l + 2*l.\nAnswer: 37*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -546 - -549. Is -9\/4 != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 PM and 10:50 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**2 + 2120*j + 360*j - 1 - 87*j**3 + 1 + 88*j**3 to the form v*j + c + i*j**2 + b*j**3 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -22 (b) -4 (c) -1\/18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 73098\/5 + -14618. Solve z*h - 3\/5*h**2 + 3\/5 = 0 for h.\nAnswer: -1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 340 is divided by 88?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1044 or -1000?\nAnswer: -1044","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -5*(126\/(-10) + -7) is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -4*z + 2*k, -19*z + 3*k + 6 = -22*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46703 + 18301 = -77*n - 22319 for n.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - b + 4913 - 1488 = 0, -4*b = y - 1702. What is the thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9152 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1591 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 4*t = -42, 2*g = -3*t - 602 + 616 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 667 = 153. Let n = 206 - q. Solve i - 2*i - n = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34 or 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 c when two letters picked without replacement from {w: 1, f: 4, l: 2, h: 1, c: 3, p: 4}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a year in months?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 889 divided by -3\nAnswer: -889\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + 2 - 20\/(-26). Is -1 at least as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225053 is divided by 74883?\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-13)\/h**(7\/5))**(-34)*(h*h*(h\/h**(-1))\/h)\/h**(-1\/4)*(h\/(h\/((h*h*h**(1\/3)*h)\/h))*h)\/h*h**(2\/3) assuming h is positive.\nAnswer: h**(9917\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 12:50 PM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2.1 (b) 34\/3 (c) -1\/82\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 5*g + 2*g + 6, 1 = -4*t - 3*g. Let n be ((-13)\/(-3))\/t*-3. What is the greatest common divisor of 52 and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -124 + 28. Let k(x) = -4*x**2 + 3*x + 6. Let l be k(6). What are the prime factors of (-13095)\/l + (-2)\/w?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-2)*-13 + (-1)\/2. Let v = x - -19. Let l(h) = 13*h + 1. Determine l(v).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + 25c1?\nAnswer: 25ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 441*m**2*t**2*w + 11728*m**2*t**2 - 4*m**2*t*w + 2*m**2*t - 14*m**2*w + 227*m*t + 4*w - 1 wrt t?\nAnswer: 882*m**2*w + 23456*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -299*h**3 + 3*h**2 + 30*h - 32. Determine x(1).\nAnswer: -298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -287*q + 271*q - 12256. Let j = q - -774. Calculate the highest common factor of 712 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -6. Let z(v) be the second derivative of v**5\/20 - v**4\/6 - v**3\/2 + 2*v**2 + v. Calculate z(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -102312?\nAnswer: 102301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millisecond in microseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101321313 - 201123?\nAnswer: 101120130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 15) in base 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7413529380 from 0.5.\nAnswer: -7413529379.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*f - 221*f + 62*f - 49*f**2 - 108*f.\nAnswer: -49*f**2 - 181*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 21359 to the power of 1\/2, to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 + 3*w**2 - 5*w - 2. Let o be z(-4). Let p(x) = -2*x**2 - 1. Let m be p(-1). Let j be -1*(24*2)\/m. What is the highest common divisor of o and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5036 is divided by (-7)\/(-4) + (-3591)\/(-252).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g**2 - g**2 - 6*g**2 - 17*g**3 + 16*g**3.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 5*g - 4 = 1, -4*d + 2*g = -2. Suppose 5*r + d = -2*w - 7, 3 = 3*w + 3*r. Calculate the remainder when 29 is divided by w\/(12\/15) + 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 31750 and 22.\nAnswer: 349250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of 1\/9*w**3 + 5\/6*w**2 + 4\/3*w + 16. Find d, given that s(d) = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (780\/117*18\/(-10))\/((-28)\/(-7))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 - -22. What is the nearest to -1\/3 in -0.4, b, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -3*c**2 + 2574693*c + 5149398 = 0.\nAnswer: -2, 858233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r + 9 = 7*r, -2*j + 24 = -4*r. Suppose -j*i = -2*i - 2132. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 52 + -34. Suppose -3*r - h = f - 4*f, r - 3 = -2*f. Suppose -2*x - f*z = -20 - 3, 0 = -3*x + 5*z + 25. What is the remainder when x is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (40\/3)\/(1\/((-5)\/(-35))) and (-15)\/20 + 230\/56.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b98 (base 12) to base 5.\nAnswer: 102203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1739 + 1732. Which is the closest to q? (a) 0.3 (b) -0.3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3*d = -10 - 10, 3*x + 4*d = 30. What is the highest common divisor of x and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8457096 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -212*m**3*q**3 + 17*m**2*q**3 + 2*q wrt m.\nAnswer: -1272*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {j: 2, y: 1, w: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*s**2 + 4*s**2 - s**2 + (2*s - s - 3*s)*(-2*s + 0*s + 4*s))*(-2*s + 0 + 0) - 2*s**3 - 2*s**3 + 3*s**3.\nAnswer: -15*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 760\/1521 - 89158\/165789. What is the common denominator of -101\/436 and i?\nAnswer: 5668","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - z**2 - 6. Give x(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1111101110111101010 (base 2) to base 11\nAnswer: 322393","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 430283 + -4840283. What is a rounded to the nearest 100000?\nAnswer: -4400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 358?\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 620006 to the nearest integer?\nAnswer: 787","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -13 - 3. Suppose g*b = 19*b - 15. Suppose 191 = 2*u + b*w, 4*w + 20 = -0*w. What is the remainder when u is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -661 divided by -3?\nAnswer: 661\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6386757721?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001748537 to six decimal places.\nAnswer: 0.001749","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mo when two letters picked without replacement from {d: 3, y: 1, o: 3, m: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2139 and 5106?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*d - 175 = -17*d. Suppose 564 = -32*o + 34*o + 2*z, -d*z - 1410 = -5*o. Calculate the greatest common divisor of o and 94.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 261 and 29667?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**30)\/(w\/(w*w\/((w\/w**23)\/w))))**(1\/7) assuming w is positive.\nAnswer: w**(55\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3101 (base 6) in base 4?\nAnswer: -22231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2\/3 - 10157196*v - 30471600.\nAnswer: 4*(v - 7617900)*(v + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13178, 27338, 41556, 55862, 70286, 84858, 99608?\nAnswer: 114566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -58*t**2 - 1681*t + 37. Determine i(-29).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + q**2 + 4)*(21*q**3 + 114*q**2 - 114*q**2).\nAnswer: 21*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -147 + 42. Let h be (42\/f)\/(11\/(-5)). What is the third smallest value in -3, 2\/9, h, 2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8084418 to the power of 1\/4, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -139 - -139. Suppose -7*q + 15 = -2*q - 2*k, -q - 3*k + 3 = x. Solve -q*f - 2*f = 20 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75.93453 nanoseconds to minutes.\nAnswer: 0.0000000012655755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(10\/(-4))*(-27)\/(-567)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 4:05 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0*(35\/10 + -4). Solve u = -5*y + 2*y - 3*b - 12, 4*y = b - 21 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115693393?\nAnswer: 61, 73, 25981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -341, -545, -747, -947, -1145, -1341, -1535?\n\"Answer: w**2 - 207*w - 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 3:32 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 + -12. Let f = -3 + v. Suppose 2*u + 0 + 4 = f*l, 4 = 5*l - 4*u. Solve -3*z = -l*z - 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a - 5. Let z(o) be the first derivative of -o**4\/8 + 7*o**3\/3 - o**2\/2 - 2. Let c(x) be the second derivative of z(x). Determine 6*c(u) + 17*y(u).\nAnswer: -u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 236\/20 - (-2)\/10. What is the greatest common factor of v and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - b + 9 = 0, 15 = -10*b + 5*b. Solve -o - x*f = -4*o - 6, -4*o + 37 = 5*f for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31 - 28. Suppose -2*h + 1 = -1. Solve 2*p = w + h for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -25, 1, -1 in increasing order.\nAnswer: -25, -4, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-40))\/(456\/760)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 21\/53671 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4098?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (870 - 841) + 1 + -43\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one halves of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132871143?\nAnswer: 3, 44290381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -0.1, 2, 9\/5 in ascending order.\nAnswer: -0.1, 0.3, 9\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -15*i. Let q(c) = 3*c**2 + 2*c. Let w(a) = -13*a**2 - 9*a. Let f(l) = 18*q(l) + 4*w(l). Give f(v(p)).\nAnswer: 450*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36 + -35.82. Are k and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 139*467.2.\nAnswer: 64940.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 1\/6, 10, -0.02, -464, -3\/5?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 - -43. Let n = -19 + v. Let i = -53.9 + n. Are 0.31 and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 52?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (2 + 7 + (56 - 54) - 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 823\/8 - 103. Let o = 2 - 5. What is the closest to -0.1 in 4, y, o?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(1053) + 4*sqrt(1053)))**2 + (sqrt(1053) - (2 + sqrt(1053)*2)**2) + 1.\nAnswer: -63*sqrt(13) + 232710","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3069614 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - 2*o + o)*(3*o - 3*o - 2*o) + o**2 + 2*o**2 - 5*o**2 + o**2 + 2*o**2 + 0*o**2.\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15*21\/1260*-64*1?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -31 - (-7 - (-5 + -17 + 12 - -9))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i - 17*i = -7468. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 92 - 96. Let k(v) = -51*v - 36. What is the hundreds digit of k(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -3202?\nAnswer: 3131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -62*w**5 - w**5 - 25*w**5 + (-w**3 + w**3 + w**4)*(-2*w + 4*w - 4*w).\nAnswer: -90*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.88 (b) 4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 3*n - 4. Let f be s(-4). Let v be -3300005 + 4 - (f + -1). What is v rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 + 4*c + 2. Let v be y(0). Suppose v*t = -t - l - 191, t = -5*l - 59. Let n = t - -58. Is n greater than -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 20*v**2 - 339*v - 39. Give g(17).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b**4\/4 + 41*b**3\/2 + 527*b**2 + 4046*b = 0. What is b?\nAnswer: -34, -14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -115, 3, -1, 5 in increasing order.\nAnswer: -115, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33 - -24. Let u = -5 - k. Suppose 151 = u*b + 59. Solve 7 - b = -4*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = -8*b + 284. Let h be 16\/6 + b\/69. What is the smallest common multiple of (16\/(-10))\/(7\/(-105)*h) and 28?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 6*n**3 + n - 1. Suppose 0 = -6*u + 3*u + 15. Suppose -3 = 2*q - u. Let l be r(q). Let o(f) = f - 3. What is o(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/24 and -79\/98496?\nAnswer: 98496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l - 5*l + 2*l)*(30 - 23 - 27)*(-8 + 12 + 6).\nAnswer: -200*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/24760 and -107\/6190.\nAnswer: 24760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(4*(sqrt(48))**2 + sqrt(3)) - ((sqrt(432)*-2)**2 + 0)) + -1.\nAnswer: -2113 - 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 643.432 - 643. Round v to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3762 divided by 33.\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 752?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -4*s + 120, -5 + 9 = -4*s. Find the second derivative of -5 + 8*a + 93*a**3 + g*a - 54*a wrt a.\nAnswer: 558*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.162 and -1337.\nAnswer: -1337.162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s. Let n(c) = -115*c**2 - 542*c - 2. What is p(n(y))?\nAnswer: -115*y**2 - 542*y - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 1 - 1)*(0 - 2 + 4) + 2 + 0 - 1)*(-28*g**4 + 12*g**4 + 9*g**4) + 0*g**4 + 68*g**3 - 2*g**4 - 43*g**3.\nAnswer: 19*g**4 + 25*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 35194*l - 34999*l - 4290 for l.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -3*v**2 + 1727376*v - 84634221 = 0.\nAnswer: 49, 575743","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10027785.\nAnswer: 3, 5, 101, 6619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 447*t + 1281*t + 803*t + 11550 = 606*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1001222 + -110?\nAnswer: 1001112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13897414 a multiple of 1368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*v = 61*v + 2280. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0193797 rounded to three decimal places?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 + 0. Let z = -4.1 - h. Let x = 4 + z. What is the closest to -0.1 in x, 3\/8, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, e: 2}. What is prob of picking 1 r and 2 e?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 187 - -210. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -3*o + 9 - 8, 119 = -26*y + 5*o for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1242 (base 8) to base 7.\nAnswer: 1652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + q + 216 = 0, 2*r - q = -103 - 105. Let o = 95 - r. Does 41 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d\/(d\/(d\/d**(-4)))))**(-14)*d**(4\/3)\/d**(2\/21) assuming d is positive.\nAnswer: d**(908\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -328*a = -4*d - 0*d - 330*a + 24, -5*a = -4*d - 74 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(18) - sqrt(1458)*-1))\/(4*(sqrt(9) + 1*sqrt(36))).\nAnswer: -25*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -4*m - 8. What is t(2)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0050314 rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 - 18*o. Let c be q(-18). Let f(a) = a**2 + 3*a + 11. Let x be f(c). Suppose -3*w - 128 = -x*w. What is the remainder when 60 is divided by w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 6*y**3 - 2*y**2 - 7. Let l(h) = 13*h**3 - 3*h**2 + h - 14. Let d(o) = -7*b(o) + 4*l(o). What is the units digit of d(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 9653*c**3 + c**2 + c + 1. Let l be i(-1). Suppose 0 = -5*b + 2299 + 14441. Let v = l - b. What is v rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13565 divided by 181.\nAnswer: -13565\/181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 10300320?\nAnswer: 10300303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-4)*(-1)\/21.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 486*y + 116 - 116 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 = -14*t, 5*t + 0*t = -3*u + 30 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 4*k + 305 = 0, 0 = 2*y + 2*y - 3*k - 1125. Suppose 3*f = -10 + 241. Suppose y = 4*w - u, 3*u - 4 - f = -w. Is 8 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2*h + 5 = -1, 0 = 2*o - 2*h + 6. Suppose -2*g - 2 - 6 = o. Let b = 19 + g. What are the prime factors of b?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/(-5))\/((-2)\/(-10)). Let s be 1 + (-4)\/((-24)\/(-9)). What is the second biggest value in m, s, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -29121*n - 8421 + 3076*n + 7404*n**2 + 5626*n**2 + 21441 - 5*n**3 = 0?\nAnswer: 1, 2604","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 1280?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-1\/4)*k)\/k*k)**(-11)\/((k\/(k*(k\/((k\/k**(6\/7))\/k*k*k))\/k))\/((k\/(k**(2\/19)*k))\/k)) assuming k is positive.\nAnswer: k**(-11437\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(sqrt(88)\/(sqrt(72)\/sqrt(9))).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1680 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1118302657 and 0.53.\nAnswer: -1118302656.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/8*12\/9. Suppose 4*s - 4 - 12 = 0. Which is the third smallest value? (a) h (b) s (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2040 (base 5) to base 10\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/(-9))\/((-1)\/(-3)). Let x(g) be the third derivative of -3*g**6\/40 + 243*g**2. Give x(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*w - 417 = -v - 2*w - 356, -151 = -3*v + 3*w - 5*w for v.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 968 = 3356. Is 91 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + -2)*(1 - 0). Let b(p) = -7*p**2 - 5*p - 2. Let s be b(k). Let a = 72 + s. Solve -4*y = 2*l + a, -5 = y + 5*l + 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 30239865?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.115 - 0.005. Let x = a + 1.1. Let t = 0.98 - x. Is t less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -269463788 + -5?\nAnswer: -269463793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 222073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*f**2 - 6*f*z + 2*z - 129 wrt f.\nAnswer: 10*f - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 9117600 to the nearest one hundred thousand.\nAnswer: 9100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -410 + 1808*l**3 + 410 + 2127*l**3.\nAnswer: 3935*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2519 is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*p**2 + 2*p**2 + 33*p**2 + (-p + p - 8*p)*(-p + 3 - 3) in the form x*p + w*p**2 + t and give w.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*y - 358 = -137*y - 61*y. Let b be ((-2)\/6)\/((-3)\/207). Find the third derivative of 11 - b*q**3 + 7 - 27*q**y - 18 wrt q.\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 9, z: 9}. What is prob of picking 2 j and 1 z?\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - r = 6, -5*r = -0*c - 2*c + 9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 6*j**2 - 8*j + 16. Suppose 3*t + 10 = t. Let l be p(t). Let x = -1 + 4. Solve -l = -5*i + 4*k, -2*i - x*k - 2 = -k for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3568 - 24925\/7. What is the common denominator of x and (-1942)\/84 - (-2)\/7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u*u**(5\/8))*u\/u**6*(u**(-8\/11)*u)**(1\/59) assuming u is positive.\nAnswer: u**(-29181\/5192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.7 - -0.3. Let t be (28\/(-21))\/((-1)\/3). Which is the closest to d? (a) t (b) -1\/3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 53172?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -8*r + 4*r - 168, 5*r - 180 = -5*w. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 4:31 AM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20.234 - 56.108. What is v rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/31 + -89\/124. Let c = -154 + 233. Let p = c + -76. What is the biggest value in p, 4, i?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -48.648 - -6178.048. Round i to the nearest 100.\nAnswer: 6100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 343 divided by -64?\nAnswer: -343\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2572*i - 2029 wrt i.\nAnswer: -2572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/1*-3*33\/(-27). Let o = 536\/21 - n. Which is smaller: o or 0.7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 11*n**4\/2 - 179687*n**3\/2 - 24365176*n**2 + 28904350*n - 4449336 = 0?\nAnswer: -268, 2\/11, 1, 16602","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5 + 1 + 2 - (-24)\/3. Calculate the greatest common divisor of 14 and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**2 + 1 - 1 + (4*k**2 - 5*k**2 - k**2)*(3 - 4 - 1)*(0 + 1 + 1)*(-1 - 1 + 1) in the form d + c*k**2 + i*k and give c.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -303 = 217*f - 220*f. Suppose -113 + f = -3*q. Calculate the highest common divisor of 12 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + j**2 - j - 1. Let y(o) = -2*o**2 + 5 + o**3 + 3*o - 3*o**2 - 8*o. Calculate the remainder when s(3) is divided by y(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2697 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3348 and 297.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 AM and 7:57 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 779 + -709. Solve -9*n + z = 5*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*x + 15*x - 40879*x**3 + 40933*x**3 + (-4 + 4 - x)*(3 - 3 + x**2).\nAnswer: 53*x**3 + 20*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/28 + 150\/42. Suppose 4*d - 76 = -3*u, -89 = -o*u + 2*d + 49. Does 16 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1053*x + 609 = 850*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 0.2 (c) -0.25 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 10 - 5 = q, q = -2*g - 10. Suppose 3*f - 8*f + 5*l = -1360, q = -4*l - 8. What are the prime factors of f?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 687223 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 19 = -q, -5*n + 3*n - 14 = -2*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1769167 or -1769190?\nAnswer: -1769167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18339091*c**3 + 13623429*c**2?\nAnswer: 110034546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1177, -1184, -1193, -1204, -1217, -1232?\nAnswer: -1249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 517006553 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 9:54 PM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4181649 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 1166524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 643608 a multiple of 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 2, -4, -1, -390, 23 in descending order.\nAnswer: 23, 16, 2, -1, -4, -390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ukfz when four letters picked without replacement from {z: 2, f: 4, k: 4, u: 2}.\nAnswer: 8\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -288 - 147?\nAnswer: -446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 + 60250143?\nAnswer: 60250152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1746\/(-342) - -5 - (-440)\/(-11704).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -6*y - 4 - 7*y**2 + 7*y**2 - 3*y**2 + 19*y**2. Let a be x(-4). What is the highest common divisor of a and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/9)\/(-3 + 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22022001111002 (base 3) to base 6.\nAnswer: -234305002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 1. Suppose -a*d - 18345576 = 4*l, 4*l - 4421358 - 13924258 = 2*d. Let h = d + -11327202. What is h rounded to the nearest 1000000?\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -938971 (base 13) to base 10\nAnswer: -3446509","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 315665727*v**4 - 154216812*v wrt v?\nAnswer: 3787988724*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 9. Suppose -9 = -t*u + 4*u. Solve -u*d + 2*l - 17 = 0, -1 = -d - 4*l - 2 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 108\/288 + (-6)\/(-16). Let x(t) be the first derivative of -t**2 + 1\/3*t**3 - 4 + i*t**4 + t. Determine x(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5\/7 (b) -4\/3 (c) -1\/6 (d) 0 (e) 0.1 (f) 0.2 (g) 717\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 4*z - 188, 4*l = -3*z + 248 - 76. Suppose 2*v = -5*p + 41, 3*p - 23 = -0*p - 2*v. Calculate the lowest common multiple of z and p.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(154)\/sqrt(7))\/sqrt(2).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 553*h + 3637. Determine m(-6).\nAnswer: 319","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9557740?\nAnswer: 2, 5, 17, 28111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 156*r**2 - 247 + 94 - 99 - 2*r**3 - 26 with respect to r.\nAnswer: -6*r**2 + 312*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 255 and 10251?\nAnswer: 51255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6602 + 6600.6785. Round n to one decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w**2 - 5607662*w - 5607663 = 0. What is w?\nAnswer: -1, 5607663","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(2\/13)*n*n))\/(n*n\/(n\/(n**4\/n)))*n**2*n\/((n*(n*n**(4\/7)\/n)\/n*n*n)\/n)*(((n*(n*n**(-2\/5)*n*n)\/n*n*n)\/n)\/n**(-4))**29 assuming n is positive.\nAnswer: n**(98587\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -1. Let j be (-3)\/2 + 1\/(-2). Let t(u) be the second derivative of -u**3\/6 + 5*u**2\/2 + 29*u. Calculate j*t(k) - 11*w(k).\nAnswer: 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 3:45 AM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -338*l - 351*l + 4439*l - 2 + 6*l**3.\nAnswer: 6*l**3 + 3750*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40*a**3*g**3 + 25*a**3*g**2*u**3 + 2*a**3*g**2*u**2 + a**3 - 762*a**2*g**3*u**3 + 2*a**2 - 8*a*g wrt u?\nAnswer: 150*a**3*g**2 - 4572*a**2*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 887208 and 3864.\nAnswer: 20405784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000000000100111 (base 2) in base 4?\nAnswer: -20000213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 + -21.5. Let p = w + 5. Sort 4, p, -5 in descending order.\nAnswer: 4, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ik when two letters picked without replacement from {i: 4, o: 2, m: 7, k: 1, a: 1}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/157, 6, 472, -3\/5, 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 114691.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 49\/255 + -1\/17. Let v = -12.7 + 12. Let u = v - 0.3. Put b, 1, u in decreasing order.\nAnswer: 1, b, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -654454*z + 34686067. Calculate n(53).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/9 - 6544*m**2\/9 + 19618*m\/9 - 13076\/9.\nAnswer: 2*(m - 3269)*(m - 2)*(m - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003554 to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -1351700 to the nearest one hundred thousand.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -12911733?\nAnswer: -38735199","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -171393534 divided by -3\nAnswer: 57131178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (4\/100)\/((108\/30)\/9)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 111776299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2123892?\nAnswer: 2, 3, 58997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/9 + 368*h\/9 + 374\/3.\nAnswer: -2*(h - 187)*(h + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 - 2)*(-6 + 4 + 3)*(36*y - 33*y - 31*y) to the form r + z*y and give z.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*c + 30 = 86*c. Solve 12 = -3*f + 3*d, c*f + 8 = -3*d - 20 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rreueeieeeru. Give prob of picking 2 r.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -12428.2565 rounded to 0 dps?\nAnswer: -12428","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/3819 + 157858\/11457. Is h >= 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**3 + 46*p**2 + 112*p - 1960 = 0. What is p?\nAnswer: -14, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -81 - (-47 - -7 - -1)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23977665 divided by 15.\nAnswer: 1598511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 22583 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2002*m + 418*m + 413*m + 1155*m.\nAnswer: -16*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 3. Let f be (-14)\/z + 8\/16. Let r(u) = -u**3 + 3*u**2 - 4*u + 1. Let k(h) = 2*h**3 - 5*h**2 + 7*h - 1. Let l(n) = 3*k(n) + 7*r(n). Give l(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -1) + -35 + -1 + -68 + -7.\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 - 23 - (1 + 5) - 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3628*x*y**3 - 47*y**3 + 2*y wrt x?\nAnswer: 3628*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(1053) + sqrt(1053) + sqrt(1053))**2 + -3 + (-5*(sqrt(13) + 0) - (sqrt(1872) + -1 + sqrt(1872))**2).\nAnswer: -65*sqrt(13) + 1989","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2482 - -2481. Which is the fourth biggest value? (a) -6 (b) 5 (c) 0.5 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-14) + (-8)\/28. Suppose h = -5*b + 60 - 15. Suppose -3*g = -0*g - b. Calculate the least common multiple of 4 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 12) in base 10?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 112?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -99 + 57. Let b = 43 + n. What is the smallest value in 4, b, 2\/35, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 3*h - 128 = -5*h, 0*q + 3*h = -3*q + 84 for q.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + -27.28022511.\nAnswer: -27.18022511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**22*m*m*m*m**(12\/13))\/((((m\/(m*m**(-11)))\/m)\/m)\/(m\/m**4)) assuming m is positive.\nAnswer: m**(181\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 154, 5\/2?\nAnswer: 154","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2\/9 - 578288*m\/9 - 16220288.\nAnswer: 4*(m - 144824)*(m + 252)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -18*x**3 - 3*x**2 - 2*x. Calculate a(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.43, -2\/3, 2\/9 in increasing order.\nAnswer: -2\/3, 2\/9, 0.43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2644, 2692, 2740?\n\"Answer: 48*s + 2596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, -27, 1 in ascending order.\nAnswer: -27, -4, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 866*c**2 - 11 - 8*c**2 - 7 + 18 as z + l*c**2 + j*c and give l.\nAnswer: 858","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-24)*-5*(-136)\/(-1530)?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 169635, 169622, 169609, 169596, 169583?\nAnswer: 169570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17376 divided by 12.\nAnswer: 1448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.2925 - 702.\nAnswer: -699.7075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -291, -255, -193, -93, 57, 269?\nAnswer: 555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67768 is divided by 45.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -98.0986 - -0.1886. Round r to the nearest integer.\nAnswer: -98","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y - 1\/4*y**2 + 3 = 0. What is y?\nAnswer: -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**2 - 16*l - 5. Give m(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 236\/((-63720)\/(-4725))*((-192)\/(-10))\/3.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39276 by -9819.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 524 a factor of 9980849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158 = 69*i - 264 + 1072 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 7a0a1?\nAnswer: -7a097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -76*x**3 - 1 - 5*x**2 + 2 + 74*x**3 as n + o*x + g*x**2 + r*x**3 and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 4*l - 2 + 1 - 5*l. Let b be r(-3). Suppose -t = -2*c + 152, -2*c + 381 = 3*c - b*t. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/40*(-88)\/(-30). Let f = -9\/73 - -79\/1825. Let s = f - v. Which is the smallest value? (a) s (b) 0 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 83*k**2 - 21*k - 134. Does 20 divide y(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**2 - g + 11. Let q(i) = i**2 + 4. What is 8*q(x) - 3*r(x)?\nAnswer: 2*x**2 + 3*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-3\/22)*d**(-31))\/(d*d**(-4\/13)*d)**26 assuming d is positive.\nAnswer: d**(-1625\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20\/(-3)*(-42)\/35. Suppose 2*g - 2 + u = 0. Let h(y) = y**3 + 4*y**2 + 2*y + 4. Let n be h(g). Solve 3*c - n*c + 19 = 3*p, -5*c = 4*p - 25 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 112\/(-35) + (-4)\/5. Sort 4, b, -2 in ascending order.\nAnswer: b, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -8, -8\/11, -4, 84?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 PM and 10:10 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -43087 (base 11) in base 14?\nAnswer: -18b92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -n - 8, s + 2*n + 1 = -0*n. Suppose -i - 1 = -u + 4, -u + s*i = -5. Solve u*f + 0 = -2*r - 3, 0 = 2*f + 5*r + 18 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -12 and 267407767.\nAnswer: 267407755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(175) + 5 + sqrt(175) - (sqrt(28)\/(sqrt(40)\/sqrt(10)))**2.\nAnswer: -2 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 110468617969 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 811?\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 54149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (947 + -166012)*4\/(-10)?\nAnswer: 2, 33013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2464*v**2 - 4922*v**2 + 2457*v**2.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1164)\/(-1470) + 12\/(-15). Let d = f + -237\/980. Let w = -0.22 + -0.08. Sort 4, w, d.\nAnswer: w, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3162 (base 7) to base 3\nAnswer: 1112120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 10) + (-1 - (3 - 6)) + -4?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -326a827 (base 12) to base 3.\nAnswer: -200001122122211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/5 + 2\/5*w**2 + 2\/5*w**4 - 6\/5*w**3 + 6\/5*w.\nAnswer: 2*(w - 2)*(w - 1)**2*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 6) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4142341 and 9051?\nAnswer: 12427023","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 95327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3182 is divided by 787?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 4:10 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*r - 88*r - 4 = -5*j, j - 435 + 415 = 4*r for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3*f**4 - 5*f**3 + 2157*f + 1693. Let i(z) = z**4 + 2*z**3 - 1079*z - 842. Let g(c) = 2*b(c) + 5*i(c). What is the first derivative of g(q) wrt q?\nAnswer: -4*q**3 - 1081","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15273 + -15329. Is t smaller than 53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 50 and -5329466.\nAnswer: -266473300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 534 - 1640. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (6 - -13)) + -5 + (-20 - 4)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 586 and 19.\nAnswer: 11134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(3 - 7) + 0. Calculate the remainder when (-1 - x) + 5 + 21 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 1870 = -2*v, -3716 = 4*v - 5*u + 3*u. Let a = -132 - v. Calculate the common denominator of 7\/20 and (-5)\/75*a\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 (base 11) in base 3?\nAnswer: 112022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 7. Let o(l) = l - 2*l + 2*l + 2*l**2 + r*l + 15. Is 41 a factor of o(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 164198, 164190, 164194, 164216, 164262, 164338?\nAnswer: 164450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2 - 52*s - 48.\nAnswer: -4*(s + 1)*(s + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8.802848 years?\nAnswer: 105.634176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 30063*k - 511076. Calculate m(17).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 138\/5, -0.3, 32, -2, 30?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -59\/145 - -1\/145. Sort q, -9, 2.\nAnswer: -9, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13603 + 15?\nAnswer: -13555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 15158757 (base 9) to base 6\nAnswer: 425324211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 60407\/3 - 20137. What is the nearest to -1\/4 in z, -4, 1, 4\/101?\nAnswer: 4\/101","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -4*b + 5*b - 5, 4*y - 2*b = -6. Let p(t) = 20*t**2 + 6*t + 5. Let j(d) = d**2 + d + 1. Let o(k) = -4*j(k) + p(k). Is 6 a factor of o(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m + 40. Let q be b(-6). What is the third derivative of 0*r**2 - q*r**3 - 2*r**2 - 23 + 33 wrt r?\nAnswer: -204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9696 - -9698. What is the nearest to 2 in 0.1, w, 5\/248?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 66399?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**2 + 7235 - 7440 - 17*q**2 + 12*q**2 + 4*q**2.\nAnswer: -2*q**2 - 205","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -3*v + 14, 0 = -4*v - 0*s + s + 17. Let m be 3 + 10\/15*v. Solve 0 = -5*c + m for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -695 + 765. Calculate the highest common factor of 35 and v.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*h - 2728 = -1387*h - 900*h - 356 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -25*p**2 - 12*p. Let n(w) = 86*w + 4. Let i(a) = 20*a + 1. Let s(y) = -4*i(y) + n(y). What is m(s(d))?\nAnswer: -900*d**2 - 72*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -123 times -0.1?\nAnswer: 12.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-44)\/33)\/((-28)\/6). Let q = 24511\/63 - 389. Let g = q - -173\/252. What is the nearest to g in -2, 5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (2 - 4) + (1 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 2*o + 696, 1030 = -3*h + 23*o - 19*o. Are -345 and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/24 - 2788\/2040)\/((-4)\/(-120)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -219*6\/9*1. Calculate the common denominator of o\/(-15) + (-16)\/3 + 5 and (-1)\/(-4) + (-111)\/44.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*x - 4. Let r be 3 - (2 + (2 - x)). Let w = 19 + -4. Solve -r*h - w = 2*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6365646 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 544*f - 1103 - 11953 = 0 for f.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddtd when four letters picked without replacement from dddddtddddtddtdddddt?\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.042143 and -0.95?\nAnswer: -0.04003585","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*n + 7*n - 2330683 = -3*n. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**4 + 149*b**3 + 5*b + 285. Let o(c) = -c**3 + c - 2. Let w(s) = -a(s) + 5*o(s). Differentiate w(z) with respect to z.\nAnswer: -4*z**3 - 462*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 0 + (32 + -6 - 8) + -5?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 39185399 to the power of 1\/2, to the nearest integer?\nAnswer: 6260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1\/3, -1\/5, 5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 600 and 6000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -299.8346 * 2\nAnswer: -599.6692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5*x - 76 = 0, -5*u + 2*x + 344 + 82 = 0. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from rdrddrdrdd.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*v**3 + 38*v**3 - 19*v**3.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 19 - w - 4*w + 2*w**2 + w - 16. Let a be m(1). Solve k - 2 - a = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 23 - 1085\/42?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70\/(-60) + 46\/6 + -6.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 286550*c**2 - 323917*c wrt c.\nAnswer: 573100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 207035921 to the nearest integer?\nAnswer: 14389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (1170674\/6)\/(-7 - (-208)\/24)*5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17a73c (base 14) in base 10?\nAnswer: 835602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**3 + 110*q**2 + 135*q - 5850.\nAnswer: 5*(q - 6)*(q + 13)*(q + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 360*c - 359*c - 1 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 6:04 AM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*(1 - (10 + -3)). Suppose -16 = 3*m - 2*s + k, 3*s = -2*m - 27. Let v = m - -21. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(((-3)\/(-10))\/((-3)\/(-4))). Suppose n*z = 5*z + 195. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(70)*1)\/sqrt(10) + sqrt(7) - ((sqrt(42) + sqrt(42)*-1)\/sqrt(6))**2).\nAnswer: 3 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -4*1\/(-2) - (-1 - 353).\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*(530\/4)\/(-5). Suppose 6*z = -3*n + z + y, -n - 2*z + 16 = 0. Calculate the highest common divisor of 65 and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -18, -0.1, -12, 3\/5.\nAnswer: -18, -12, -0.1, 3\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*l, 3*l - 2*l = -r + 1473. Suppose 12*o - r = 5*o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2029338 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6519599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 64691400897984.800277 - 64691427263853. Let o = 26365853 + r. Let f = o - -15.2. What is f rounded to five decimal places?\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5 - 2) + 1 + 46. Let c be 45\/b*5\/3. Put c, 2, 2\/7 in descending order.\nAnswer: 2, c, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2219 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 -101\/2015888 and -13\/503972.\nAnswer: 2015888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 + 9*n**2 - 3*n**2)*((0*n + 3*n - 2*n)*(-1 + 0 + 3) - 1 + n + 1 - 2*n - 4 + 4) - 82*n**2 + 165*n**2 - 18*n**3 - 91*n**2.\nAnswer: -13*n**3 - 8*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7.7 - -0.3. Let q = b + -7.9. Is q equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -0.1. Let m = 0 - 0.3. Let a = 0 - m. What is the closest to u in a, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*o**6 - 26*o**4 - 6*o**2 + 71*o?\nAnswer: 2400*o**3 - 624*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 71066 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/((-7)\/((-7)\/2)). Let l(y) = 2*y**2 + 2*y + 1. Let t be l(-2). Solve m = 4*i + k*m + 4, -t*m = -3*i + 21 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4098.086 decades to years.\nAnswer: 40980.86","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 12370 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/1*4*219\/(-1460)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((36\/8)\/3)\/(9\/90)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.07 + 0.07. Let w = 2.01 - -220.99. Let s = w - 222.8. What is the second smallest value in 2, z, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1275, -2607, -4015, -5505, -7083?\n\"Answer: -p**3 - 32*p**2 - 1229*p - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 102, 406, 916, 1632, 2554, 3682, 5016?\n\"Answer: 103*l**2 - 5*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o + o + 5*o)*(125 + 322 - 320 + (0 + 2 + 5)*(3 - 2 - 3) - 1 - 1 + 6).\nAnswer: 234*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9268 + -9119. Calculate the remainder when l is divided by 45.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**5\/7 + 2482*u**4\/7 + 146556*u**3 + 140887512*u**2\/7 - 141915888*u\/7.\nAnswer: 2*u*(u - 1)*(u + 414)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -31145 (base 9) in base 13?\nAnswer: -9467","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/6? (a) 17 (b) 25 (c) 8 (d) 24 (e) -0.1 (f) -23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/((-182)\/(-4)))\/((-4)\/(-70)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/d**(39\/2)*d)\/d**(3\/10) assuming d is positive.\nAnswer: d**(-84\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = -3*q + 2 - 24, -t + 5 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/6)\/((-360)\/(-17820))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**4 + 3*f**4 - 2*f**4)*(-f + 5*f + 0*f) - 2*f**3 + f**5 + 2*f**3 + (f**2 - f**2 + f**5)*(1 + 2 - 5).\nAnswer: 7*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + 462*q**2 - 665*q - 307233. Determine y(-462).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.309811 minutes in seconds?\nAnswer: 318.58866","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = i + 4*i - 5, 0 = -5*g - 5*i + 25. What is the third derivative of 4*m - 4*m + 3*m**g + m**4 + 0*m wrt m?\nAnswer: 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 3*i - 375. Let n be 180\/i + (-6)\/(-10). Suppose n*k - 5*k - 4*y = -190, -3*k + 278 = -y. Calculate the remainder when k is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10544 is divided by 52.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4478*i - 25*i**2 + 4478*i + 48*i**2.\nAnswer: 23*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3117 + -3115. Let v be -3*(-4 - 1*-2). Solve r*j = v*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1952.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16222 - -16520.23. Let f = -0.10669 - 300.89331. Let l = y + f. Round l to zero decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -184 - -210. Let x = 178 + b. Is 204 at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203546285 a multiple of 557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k + 12. Let p = 26 - 18. Let s be t(p). Let -3*q**s - 2*q**4 + 6*q**4 = 0. What is q?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/(-4) + (-2)\/(-8). Let o be -1*(-2 - y)*4. Let a(v) = v**3 - 4*v**2 + 2*v - 3. What is the units digit of a(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/12 + (-26)\/6. Suppose 11 = 3*t - 4*i - 0*i, 0 = -3*i - 6. Let w(z) = -4*z**2 + 3*z. Let r(p) = -p**2 + p. Give q*r(a) + t*w(a).\nAnswer: a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 28169 divided by 1657?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -4. Suppose h = -4*x + 808 - 288. Suppose -5*a + x = -20. Is a a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (7 - (-5 - -25)) + 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 172*u - 89*u - 60 = 87*u, 0 = -5*b - 3*u + 7 - 74 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d**2 - 20*d - 3. Let p be k(7). Sort 203, p, -4.\nAnswer: -4, p, 203","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102334000 rounded to the nearest one million?\nAnswer: -102000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.15, -0.38, 1197 in descending order.\nAnswer: 1197, -0.15, -0.38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -466586075953+-2\nAnswer: -466586075955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**3 + 1215 - 1217 + 10*f**2 + 4*f**3 to the form x*f**2 + o*f**3 + z + d*f and give x.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 715 and 25.\nAnswer: 3575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 52975.21 millennia?\nAnswer: 635702520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 72 + -60. Suppose 8 - r = -2*j. Let n(i) = -i + 5 - 2*i**2 + 0*i + i**j + 4*i. What is n(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135498 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 2:48 AM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 6:17 PM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 201631 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -307*d - 13824 + 11368 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 612057, 612053, 612051, 612051, 612053?\nAnswer: 612057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -18 + 20bc?\nAnswer: 20a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 108 + -4.88.\nAnswer: 103.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (339020\/(-264))\/(-115)*6.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -7.25, 3, -2, 2\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.468478 rounded to zero dps?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven halves of a millimeter?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (85\/(-8))\/((-13365)\/42768)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*k - 16 - 21 + 18*k + 56 - 14 - 13.\nAnswer: 49*k - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -404908\/19 - -21311. Which is the closest to -1? (a) -93 (b) j (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16146\/(-9936))\/((-2)\/(-8))?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14\/15 + 4\/3. Let n = 1.88 + 0.12. Is v > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 1275*l**3 + 438295*l**2 - 104910*l + 3440 = 0. What is l?\nAnswer: -344, 2\/51, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*(-2332)\/(-15180)*23)\/(3*(-2)\/(-30))?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 6, b: 1, d: 3, x: 3}. What is prob of picking 2 x and 2 d?\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 8:38 PM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 31 = 4*i, 4*i - 2*i = -2*l + 14. Suppose 21*n - 19*n = i. Solve -5*w - 5*s = -15, n*w + 5*s = -0*s + 18 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + l - 4 = 0, -5*k + 4*l = 3*l + 20 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 41b86b (base 12) in base 9?\nAnswer: 1848482","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -2. Which is the fourth biggest value? (a) 4 (b) 1 (c) r (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -23\/456, 0.28, -0.4?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8098?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3000, 2887, 2774?\nAnswer: 2661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + (-4 - -2) + 30. Suppose 0*m + 28 = 2*r - 2*m, 2*r + 3*m - w = 0. What are the prime factors of r + (-1)\/((-2)\/(-8))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 619391725?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -10688730 divided by -5\nAnswer: 2137746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2400009 + 0.24. Round j to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4 and -20\/29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -12 - -5) + 54 + -13\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20708*m**3 + 3*m**2 - 5*m - 986.\nAnswer: -124248*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 2*m - 34, 4*u + 16 = 4*m - 36. Suppose 7*c + m*c = 1072. Suppose c*s - 71*s + 1364 = 0. Is 54 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 820433 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7689589?\nAnswer: 1009, 7621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8.5 + -8.5. Which is smaller: h or 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**4 - 2*s**3 + 2*s**3 + (s**3 + 0*s + 0*s)*(0*s - s + 3*s) - s**4 + s**4 + 2*s**4 + (-s**2 + 0*s + 0*s)*(-39 - 6 - 5)*(4*s**2 + 2*s - 2*s).\nAnswer: 205*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 732\/11 at least 67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/43? (a) -2\/13 (b) 2\/11 (c) -390 (d) 11 (e) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 225 and 51600?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20 * -3.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 10148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**7)**(-2\/19)\/((n*n**2)\/n*n)**(-1\/11) assuming n is positive.\nAnswer: n**(189\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of -a**5\/12 + 35*a**4\/24 - 25*a**3\/3 + 603*a**2. Factor n(k).\nAnswer: -5*(k - 5)*(k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39327 + 118894. What are the prime factors of q?\nAnswer: 251, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -6*i. Let o(h) be the first derivative of 7*h**3\/2 + h + 8. Let c(u) be the first derivative of o(u). Determine 18*b(x) + 5*c(x).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/21)*g*g**11)\/(g**(1\/3)*g**(-2\/13)) assuming g is positive.\nAnswer: g**(1067\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 AM and 12:38 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-35)\/25 - -1)\/((-56)\/(-4760))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1358 + -0.2642. Let d = -889 + 7127\/8. What is the smallest value in c, 7, d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 782*o + 1456*o - 71 + 19 - 48*o - 137*o wrt o?\nAnswer: 2053","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -88\/397 > 2.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vffjpcj. Give prob of sequence pv.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5462?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0767042 rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 33597 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7)\/7*9\/(-1). Let a(m) = -4*m**2 - v*m + 3*m + 6*m. Let j(r) = -3*r**2. Calculate j(a(l)).\nAnswer: -48*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16.8 + 14. Let n = -2 - z. Let m = -0.7988 + n. Round m to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 8:25 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 222383 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t + 95768*t**2 - 3*t - 96096*t**2 + 2*t.\nAnswer: -328*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wiwwwwwwwwwwwwiwww. Give prob of picking 2 i.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4270*s = -4287*s + 425. Which is greater: s or 906\/35?\nAnswer: 906\/35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40.3*0.2\nAnswer: 8.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 73292973?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 9. Let p = 4.8 - o. Let l = -3.5 + 0.5. Sort p, l, 2\/3 in increasing order.\nAnswer: l, p, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 20*k + 35010 = 0. Let v = 13483\/7 - k. Is -20 at least as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -21. Let p = y + 6. Let l = -0.2 - -0.7. What is the third smallest value in l, 2\/11, p?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14*m + 18 + m - 4 + 0*m wrt m.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i + 2 - 4*i**2 + 3*i**2 + 2*i**2. Let o be u(0). Suppose 6*s + 3*s**2 + 0*s + 4*s**o - 4*s**2 = 0. What is s?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93195203 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 899188 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: 502*-0.73\nAnswer: -366.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 918*y + 4. Let b be f(-1). Let c = b - -4214. What is c rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 426*n**4\/11 - 876980*n**3\/11 + 130550*n**2 - 543040*n\/11 - 1496 = 0?\nAnswer: -2\/71, 2\/3, 1, 2057","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 1:21 AM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 6 = 0, 14*d = 9*d - 5*z for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66243 and 701409.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17.08 + -15.89. Let g = -0.03 + q. Let r = g + 33.034. Round r to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 166 divide 679106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 375 = 5*q, -157 - 218 = 5*q - 5*n. What is the units digit of ((-1305)\/q)\/(1\/5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 304344 >= 2130417\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 67397 + 15386. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.108? (a) -1\/2 (b) 0.11 (c) -168679\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-24)\/3*(-1)\/2. What is the derivative of 0 + 0*q**4 + 2 - m + q**4 wrt q?\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 3*y + 2)*(-5 + 3 + 1).\nAnswer: -3*y - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of -3*q**2 - 10*q - 1559. Let j(c) = -c + 1. Calculate 4*j(l) - p(l).\nAnswer: 2*l + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -9. Let b(z) = -5*z - 8 + 9*z**i - 4 - z**3 + 1. Is b(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of 2*h**3\/3 - 2210. Let j(b) = -b**3 + 4*b**2 - 2*b - 2. Let r be j(3). Let g(k) = -k**2 + k. Determine r*y(t) - 2*g(t).\nAnswer: 4*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 - 9*k - 12. Let m be w(-9). Let q(y) = -2*y - 14. What is the least common multiple of 10 and q(m)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.23 and 12.\nAnswer: 11.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 6*h + 12. Determine c(-5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -18*a - 2. Let w be k(-3). Let r = 319 + -280. Calculate the highest common factor of w and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0979 + 2.0979. Let w = 2.77 - -0.23. Which is the closest to 1\/2? (a) 0.4 (b) l (c) 0.1 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1351*i - 3313 + 668*i - 2*i**2 + 683*i to the form s*i**2 + u*i + b and give b.\nAnswer: -3313","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 2494744?\nAnswer: 2494740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5155166 to the power of 1\/2, to the nearest integer?\nAnswer: 2270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 12:17 AM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-249)\/(-996))\/((-22)\/24)*1?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 45192 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**2 + 29 - 3*s**2 - 3 - 8.\nAnswer: -s**2 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -3*u + 66. Calculate the remainder when 34 is divided by h(19).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + x - 4*z = -13, 0 = -2*x - 2*z + 14. Let k be 5\/(75\/(-43)) - -3. What is the closest to x in k, -0.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -308272 + 433821. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -77*z + 1. Let h(p) = -1610833*p**2. What is w(h(i))?\nAnswer: 124034141*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.286 take away 0.2?\nAnswer: 0.086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -4*u**2 - 309*u + 329. Give f(-78).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12538, 12804, 13080, 13366?\nAnswer: 13662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 467 - 464. Let l = 7 - 12. Let m be 81\/15 - (-2)\/l. What is the second smallest value in o, 4, m?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 29*g + 719. What is v(-25)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -1818.\nAnswer: -1818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 i when three letters picked without replacement from wiiwiwwiii?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 24020231 or 1\/2?\nAnswer: 24020231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -3*c - 5, -2*c + 1 - 3 = i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/(-15))\/(275\/(-30))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 125 and 375?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - -23. Suppose -4*s + s - v = 0. Let c(q) = 5*q - 74. Let f be c(14). Is s < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 82.1 - 85.1. What is the nearest to 1 in -2\/9, 2, g, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3*w = 2*j + 23, 0 = -5*j - 4*w + 137. Let r = j + -24. Suppose -l = 4*i + 29 - 205, 0 = -r*i - 3*l + 227. List the prime factors of i.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 83569039.92723 - 83564835.6. Let v = 4230.32722965 - f. Let p = v - 26. What is p rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -3*f + 5 - 4, 3*v + 9 = -5*f. Let b be 5 + -3 + -2 + 9 + v. Let g = 43 - b. Is 6 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 - 5*c + 24. Let k(z) = z**2 + 16*z + 40. Let t be k(-13). Let s be 5\/(-10)*0\/t. What is the lowest common multiple of 3 and j(s)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3944563829 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -r**6\/10 + 9*r**5\/5 - 3*r**4\/4 - 104*r**3 - 288*r**2 - 2*r - 153. Suppose w(c) = 0. What is c?\nAnswer: -3, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/19530091 and 29\/2.\nAnswer: 39060182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-6)*16\/(-56)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 20 + (1 - -1)*-1. Let t = a - -48. Let g = -10 + 16. What is the highest common factor of g and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 417 = -18*q + 129 for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*v**2 - 38*v**5 - 29*v**2 + 25*v**5 - 8*v**5 wrt v.\nAnswer: -1260*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9394c6 (base 13) to base 4.\nAnswer: 31021301323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*f, -4*s - 2*f - 8 = -2. Put 13, s, 3 in descending order.\nAnswer: 13, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.196 times 0.3?\nAnswer: 2.7588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1517, 3048, 4579, 6110?\nAnswer: 7641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0516 to 3 dps.\nAnswer: 0.052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -453, -855, -1203, -1491, -1713, -1863?\n\"Answer: o**3 + 21*o**2 - 472*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 962454.1 millennia in centuries?\nAnswer: 9624541","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 - 12. Let q = -287 + 448. Let i = q - 162. What is the closest to -0.1 in i, h, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -394*i**4 - 5 - 4 - 9 + 20 + 102*i wrt i?\nAnswer: -4728*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 18597 and 0.05?\nAnswer: 929.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 26 = 4*n, 157567*k - 157563*k - 38 = -5*n for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.5 (b) -75 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4871 + -4869)\/(28\/2).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -203 - -203.1426. Let o = -16.8574 - m. Let n = 0.3 - 0.1. What is the smallest value in o, -2, n?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -308971407, -308971405, -308971403?\n\"Answer: 2*b - 308971409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1306064 (base 8) in base 3?\nAnswer: 200110201122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 447 + -446. Solve -x = a + t, -a + 5 = -x - 0*a for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + 5*b**2 + 7*b - 5. Let c be y(6). Let x(p) = -1 + 0 - c + p. Suppose 46 = -5*t + 16. Let r(k) = k - 2. Determine t*r(o) + 7*x(o).\nAnswer: o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1253720?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 5*b = -16, 0 = -3*w - 5*b - 0 + 7. Let r(g) = 2*g**2 - 11*g - 6. Let h be r(w). Let z = h - 29. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-124)\/(-9) + 232\/1044. Solve 0 = -2*i + 4*i + 3*p + v, 4 = -p for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 98 - 14. Suppose -d = -3*r - 12. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -290, -600, -904, -1196, -1470, -1720, -1940?\nAnswer: -2124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 2*b - 4. Suppose -6 = -2*v + b. Solve -2*h + v*h = 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -1 + 1 + 7*a - 3*a + 5. Let b(g) = 3*g + 4. Let o(l) = -3*b(l) + 2*u(l). What is o(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(70)\/(sqrt(28)\/sqrt(4)))\/(((sqrt(5) - (-3*sqrt(25))\/sqrt(5)) + sqrt(5) - sqrt(5)) + sqrt(5)) + 2.\nAnswer: -2 + sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 4*s**2 - 311*s + 260. What is h(77)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*(-2)\/12 + (-435)\/45. Let v be -2 + b\/(-4) - 10\/(-20). Solve 6 = -2*k, 2*j - 6*j - k = -v for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*h*z**2 - 12*h*z - 2*h - 7629*z**2 - z - 4 wrt h?\nAnswer: 5*z**2 - 12*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -13*g**3 + 6*g**2 + 343*g + 6. Let h(a) = -15*a**3 + 7*a**2 + 343*a + 7. Calculate 7*f(b) - 6*h(b).\nAnswer: -b**3 + 343*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6c17 + 4?\nAnswer: -6c13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, j: 2, m: 2}. What is prob of picking 2 j?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 15327200 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0204 minus -1?\nAnswer: 0.9796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 25 (b) -122 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 7 = -2. Let x(w) = i*w**2 + 2*w - 2*w + 0*w. Let d(m) = -2*m - m + 4*m. Determine x(d(p)).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 515*m**2 - m**3 - 5 + 273*m**2 + 450*m**2 - 3.\nAnswer: -m**3 + 1238*m**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 q when three letters picked without replacement from eeeqqejejjeqejjjhe?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 1:25 PM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -116 (base 11) in base 13?\nAnswer: -a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.627717mg in kilograms?\nAnswer: 0.000007627717","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-10)\/((z*z*z\/(z\/z**10*z))\/z))\/((z*z**(-1\/2)\/z)\/z)**(-4\/9) assuming z is positive.\nAnswer: z**(-62\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 850099 to the power of 1\/2, to the nearest integer?\nAnswer: 922","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.525 - 222.175. Round g to the nearest ten.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2 + -3402?\nAnswer: -3400.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/((-12)\/16))\/(3\/(-9)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 16821, 16830, 16839, 16848?\n\"Answer: 9*a + 16812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2088 - -1483. Let z = q + 596. Is -11 greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (11 - 4) + 14?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - s + 6 = 0, -r - 2*s - 6 = -7 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3024926406?\nAnswer: 2, 3, 683, 246049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 51*q - 3210. Let o be f(63). Solve 0 = -2*x - o*w + 14, -4*x = -5*x - 2*w + 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16212 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 1. Solve 0 = 4*p + 5*r + c, p - 9*r - 17 = -4*r for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.3, 5\/4, 0.4, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 642*u - 89*u - 20*u + 339*u + 65*u.\nAnswer: 937*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - 5*r**2 + 11*r - 25. Calculate w(-6).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12 - -4252?\nAnswer: 4304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -413*x**2 + 8259*x + 20 = 0. What is x?\nAnswer: -1\/413, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16*g + 4 - 4)*((g + g + 4*g)*(-1 + 2 - 2) + 0*g + 3*g - g)*(0 + 2 + 0)*(-4*g + 2 - 2) to z*g + i + o*g**2 + m*g**3 and give m.\nAnswer: 512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1315 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2798141\/8 + 349094. Let c be (0 - (-664)\/6)*6. Let s = v + c. Find the common denominator of 55\/2 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -68602, -548821, -1852264, -4390543, -8575270, -14818057, -23530516?\n\"Answer: -68602*f**3 - 5*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in six fifths of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 1 (b) -22 (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + r**2 - 1)*(2*r - 5 + 5)*(-11 + 10 + 0).\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 996 and -0.4.\nAnswer: -398.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ososessssseoeess. Give prob of sequence ee.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s + 3. Let g be r(-2). Let k be g*((-26)\/12 + 2). Let t = 52 - 56. Sort k, t, -2.\nAnswer: t, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19038 and 44589.\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 11:11 AM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 516049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -993*v**4 + 440*v**4 - 7*v - v**3 + 1 + 550*v**4 to the form s*v + m*v**4 + f*v**2 + z*v**3 + r and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -p**3\/3 + p**2\/2 - p. Suppose 2 = 2*t - 0. Suppose 36*r = 23 - 48 - 11. Let d(b) = -1. Calculate r*d(y) + t*c(y).\nAnswer: -2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**22*z)*z)**(-10) assuming z is positive.\nAnswer: z**210","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 41*g - 533. Let j be i(13). Let w be (-1 + 1)*-1 + 3. Suppose j = -4*a - 0*b - 2*b + 46, w*a - 3*b = 57. What are the prime factors of a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190*w - 3407 = 3156 - 25183 for w.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1254034 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12018901 to the power of 1\/4, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (18\/(-6))\/(6\/(-10)). Solve -z - z + 10 = -u*x, -4*x - 3*z = 31 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l + 9. Let a be i(7). Let y be (-2)\/(0 + -10) + 432\/(-360). Is (-5710)\/a + y*4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -28*a**2 + 28*a + 2. Determine s(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, m: 3, s: 4, g: 4}. Give prob of picking 4 k.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwiiwbiiiwbbi. Give prob of picking 2 b and 1 i.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10 - 1088*s**2 + 208*s - 207*s - 5 wrt s?\nAnswer: -2176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*w + 14*w - 10*w)*(7*w**2 + 32*w - 32*w).\nAnswer: -35*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(38)\/sqrt(2) - sqrt(19))*3 + 1 + (sqrt(1216) + 1 - (sqrt(57)\/sqrt(3) + 5))*-1)**2.\nAnswer: -70*sqrt(19) + 956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -26.6, -1.4, 3, 1?\nAnswer: -26.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1499418\/29 + -51712. Let y = 131\/203 + o. Find the common denominator of ((-333)\/(-27))\/(-4 - -1) + 1 and y.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8462450 + 17532304 = 3*w. Let d = -9135082 - w. Round d to the nearest 1000000.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 2*b**3 + 28*b**2 - 136*b + 144 = 0.\nAnswer: -18, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1688*q - 361 = 26*a - 1689*q, -a - 5*q - 29 = 0 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 36\/14 + -3 + 9837\/21. Suppose -7*w - r = -9*w. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + 8*m**2 + 10*m - 5. Let h be v(9). Solve h*n + 2*w = w, 4*n + 5*w - 16 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4229 - -1054. What is d rounded to the nearest one hundred?\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3174 a factor of 133648870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - -1 - (-4 - -3). Suppose -9 - l = r. Let b(a) = a**2 + 8*a + 1. Is b(r) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40 + -112 + 77 - 89\/(-1)?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c + 1. Let h = -3 - 2. Let q = 5 + h. What is the units digit of j(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 181218473 and -0.3.\nAnswer: -54365541.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*z - 368 + 72. Let x = -34 - z. Solve 0 = 3*q + x*h + 12, 33 - 13 = -5*q - 3*h for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -5*v - 3. Let k(g) = -11*g - 7. Give 5*j(s) - 2*k(s).\nAnswer: -3*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 27*k + 1. Calculate j(-1).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 - -0.1. Let y(x) = x**3 + x + 1. Let c(m) = -6*m**3 + 5*m**2 + 4*m - 22. Let t(l) = -c(l) - 5*y(l). Let s be t(6). Is s at least as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3657 and 361884.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 AM and 3:38 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -54, -181, -308, -435, -562, -689?\n\"Answer: -127*h + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p + 20. Let h be x(7). What is the second derivative of 9*c**4 + 5*c + h*c - 20*c**4 + 7*c**4 wrt c?\nAnswer: -48*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.24056707 to three decimal places.\nAnswer: 0.241","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 9*x**2 + x - 6. Let m be v(9). Let i(n) = -9*n**3 - 48*n**m - 2*n - n**2 - 17 + 15. What is the lowest common multiple of i(-1) and 10?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11188203\/102260530 - 22\/93817. Calculate the common denominator of m and -33\/2.\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-22)*(j*j**(1\/29)*j)\/j*j*j*j)**26)**(-48) assuming j is positive.\nAnswer: j**(614016\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -2, -2\/2567, 6, 2\/13, -2\/7, 0.304?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 PM and 2:03 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5177536*g**3*o**2 - 1137*g**3*o + 6*g*o**2 - 504*g*o wrt o?\nAnswer: -10355072*g**3 + 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) + sqrt(110) + (sqrt(110) - -6*sqrt(110)*1))\/sqrt(10).\nAnswer: 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7426769\/10 + -746735. Let x = 4062 + f. What is the common denominator of 95\/6 and x?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence krqv when four letters picked without replacement from {k: 7, v: 1, r: 8, q: 2}.\nAnswer: 7\/4590","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(2\/3)*s)\/(s\/s**9)*((s*s\/(((s*s\/(s**(-1)\/s))\/s*s)\/s*s))\/s)**25 assuming s is positive.\nAnswer: s**(-197\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 65990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -325*p = -671*p + 331*p + 809970000. Round p to the nearest one million.\nAnswer: 54000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.01, 12, -1\/2, -0.0342, 8 in decreasing order.\nAnswer: 12, 8, 0.01, -0.0342, -1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -971600186*w**4 - 237993*w**2 - 3*w - 28.\nAnswer: -23318404464*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.3 and 600.55.\nAnswer: 600.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 12*y**2 + 7*y + 43. Is 98 a factor of o(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10827 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 h when two letters picked without replacement from shysuun?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205 is divided by 69.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5980?\nAnswer: 2, 5, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1809, 3151, 4083, 4599, 4693, 4359, 3591?\nAnswer: 2383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 11*o**2 + 20*o + 12. Let c(s) = 17*s**2 + 30*s + 18. Let w(x) = 5*c(x) - 7*m(x). What is the least common multiple of 138 and w(-2)?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -16*h**2 + 468*h - 554. Give l(28).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100000011110000110111110100011 + 11?\nAnswer: 100000011110000110111110100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 6*d**2 + 4*d - 1. Let t(m) = 13*m**2 + 7*m - 1. Suppose -j - 60*u + 58*u = 9, 0 = -2*j + u + 12. What is j*t(v) - 5*h(v)?\nAnswer: 9*v**2 + v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 4*j = 293, 143 - 27 = m + 5*j. Is m a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2150 - 4074?\nAnswer: -1724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -55\/29 - 503\/1218. Calculate the common denominator of -2\/77 and m.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -310 = -35*t - 10*t - 1570 for t.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(8\/3)*o)\/o**(-25)*((o\/o**(2\/19)*o)\/o)\/o**(-28))**(1\/8) assuming o is positive.\nAnswer: o**(3281\/456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8, 2\/5, -5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p - 52 - 11 + 2 + 2*p to t + h*p and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -5) + (-83 - (19 - 92)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(1\/22)*b**(-8)*(b\/(b**(-4\/9)\/b*b)*b)**(15\/4) assuming b is positive.\nAnswer: b**(40\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k\/k**0))\/k*k)**(-44)\/(k**(-1\/2))**(-2\/3))\/((k**(-2\/5)\/(k\/(k*k**(-1\/5)*k)))\/(k**(-2\/11)*k**(-6))) assuming k is positive.\nAnswer: k**(-1141\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 83513, 83503, 83493, 83483?\n\"Answer: -10*i + 83523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 13*b**3 + 7*b**2 - 7*b + 7. Let z(l) = l**2 - 12*l + 6*l**2 + 9*l + 6*l**3 - 4*l**2 + 3. Calculate 3*c(a) - 7*z(a).\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 6*m**2 - 11*m - 98. Give u(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b**3*i**2*j**3 + b**3*i**2*j + 15*b**3*j + 491*b*i*j**5 - 2*b wrt j?\nAnswer: -6*b**3*i**2*j + 9820*b*i*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15090 - 15153.016. Let y = k - -0.016. Let r = 88.5 + y. Round r to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -244871771 divided by -59\nAnswer: 4150369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44 + -44. Put w, -7, 2 in decreasing order.\nAnswer: 2, w, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 322\/(-196) - 6\/(-4).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tttt when four letters picked without replacement from tsstttsg?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of q**5\/60 - 13*q**4\/24 - 7*q**3\/6 + 29*q**2. Suppose c + 0*c - 14 = 0. Let o be a(c). Is o greater than or equal to 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 9:06 AM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3 (b) -8 (c) 0 (d) -27\/8 (e) -1\/87\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/1639 and -92\/1485?\nAnswer: 221265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 232067, 232071, 232077, 232085?\nAnswer: 232095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2*g = 271 - 280. Solve 3\/10*a + 1\/10*a**g - 3\/10*a**2 - 1\/10 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7385193?\nAnswer: 3, 820577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 16*b**2 + 21*b + 92. Let j be w(-15). Suppose 2*c + j + 1\/2*c**2 = 0. Calculate c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 131904 and 786?\nAnswer: 17279424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 985889172 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 30 (b) -0.9 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*z - 11 + 279*z**3 - 6 - 335*z**3 + 58*z**3 - z**2 in the form a + o*z + l*z**3 + g*z**2 and give a.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + 7*k**2 - 2*k. Calculate the remainder when x(4) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 801446377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30050, 60100, 90152, 120206, 150262, 180320?\nAnswer: 210380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -302*b + 19*b**2 + 155*b + 146*b.\nAnswer: 19*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2865656 to the power of 1\/3, to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 64 = 4*g - 416, -g + 107 = 5*o. List the prime factors of g.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and -58867.07444.\nAnswer: -58866.97444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/7, -2, 2, 0.1, -583?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14820 and 6110.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 262973071?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s + s + 2*s + 1. Suppose -21 = -0*t - 7*t. Suppose -7*l + 4 = -t. Give b(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1316 is divided by 34.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 326 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-34)*(-6)\/(-27). Let k(c) = -2*c**3 - 69*c**2 - 219*c - 59. Let l be k(-31). Sort l, 0, t in increasing order.\nAnswer: 0, t, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b. Let r(y) = -7*y. Let l(j) = 4*d(j) - r(j). Let p(i) = -11*i. Give p(l(k)).\nAnswer: -33*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10332 greater than 10330?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of -u**7\/105 - 4*u**6\/15 - 139*u**5\/50 - 202*u**4\/15 - 508*u**3\/15 - 224*u**2\/5 - 1000*u. Let p(y) = 0. Calculate y.\nAnswer: -8, -7, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 + 4*q**4 + (-7*q + 10*q + 13*q)*(-2 + 2 + 2*q**3) + 0*q**4 - 111 + 79 - 2*q**4.\nAnswer: 34*q**4 - 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from momomomm. What is prob of picking 2 o and 1 m?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 4*c, -3*b = -0*c - c - 4. Let o(x) = -2*x**2 + 5*x - 3. Let i be o(b). Sort 5, 29, i.\nAnswer: i, 5, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/17)*y*(y\/(y**(-16)*y))\/y)\/(y**(-16\/7)\/(y*y**(-1\/12))))**35 assuming y is positive.\nAnswer: y**(136265\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ko when two letters picked without replacement from kggog?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vi when two letters picked without replacement from iuibv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -11*i**2 - 34*i + 207. Calculate x(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) 0.03 (b) 0.09 (c) 2 (d) -78\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -950*c = -6710 + 1010 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t = -t + 4*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 5*b - 24 = 0, 3*l - 75*b + 28 = -70*b for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 34178440?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w. Let t(x) = x - 66. Give a(t(p)).\nAnswer: 2*p - 132","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2106 and 9750?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {q: 1, e: 1, f: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l**2\/5 - 2438490*l - 2477597283375 = 0. What is l?\nAnswer: -2032075","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28576927\/1965005 + 4\/56143. Let p = -106\/7 - k. Which is smaller: p or 2\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b + 147 - 115 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28 + 13. Let o = -0.57 - -40.37. Let k = b - o. Round k to 1 decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10958142 is divided by 5479057.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 476958.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -15, -3, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 25\/100*5\/(5\/4). Let m be -19 + 2584\/132 - j\/(-11). Solve 5\/6*b - m - 1\/6*b**2 = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.18? (a) -1 (b) 1127 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157197942.\nAnswer: 2, 3, 11, 264643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -21*p - 3. Let b(j) = -1174*j. Calculate m(b(w)).\nAnswer: 24654*w - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 8 = -2*m. What is the first derivative of -4 - 9 + 3*x**3 - m - 9*x**3 wrt x?\nAnswer: -18*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of -3\/2*o**2 + 0 + 1\/6*o**3 - 74*o. Calculate w(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 3*p + 2, -3*k + 2*p = 1 - 3. What is the greatest common divisor of 16 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 44853*k**3 + 3536*k**3 + 42276*k**3 + 3 - 2)*(1 - 1 + k) in the form z*k + a*k**3 + y*k**4 + v + r*k**2 and give y.\nAnswer: 90665","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 4495*p + 1346*p + 1 - 3734*p in the form j + k*p and give k.\nAnswer: -6883","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4eb9 (base 15) to base 11.\nAnswer: -11705","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 0*d**2 - 6 - d**2 + 0*d**2 - 6*d. Suppose -8 + 20 = -3*h. Let p be f(h). Solve -k + 0*k = p for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 7*f**2 - 23*f - 7. Let v(p) = -4*p**2 + 12*p + 4. Let h(i) = 3*j(i) + 5*v(i). What is h(9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1256071764.3 - 5.87?\nAnswer: -1256071770.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -229b (base 12) to base 8.\nAnswer: -7427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-10) + 0)\/((8084\/3995)\/(-43)). Let o be (-6)\/(-2)*(-24)\/(-9). Are o and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xrkq when four letters picked without replacement from {q: 1, t: 3, r: 3, x: 1, k: 3}.\nAnswer: 1\/880","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*o + 3*p, -o - 4*p + 4 = 22. Let m be -2*o\/4 - -2. Suppose -2*s = -u, -3*u - 4*s + m + 19 = 0. Calculate the remainder when 6 is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2 + 1875*z + 67218.\nAnswer: -3*(z - 659)*(z + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -z + 10. Solve -f - z = -3 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 587183735?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2256 and 376.\nAnswer: 2256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 610479254 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46419077?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + -25 + 12 + 15?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -775 - -903. Let t(n) = 3*n**2 + 3*n - 1. Let g be t(-5). Let y = g + u. What are the prime factors of y?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 - 4*p - 2. Let b(d) = -d**2 + 6*d - 5. Suppose 0 = 3*m - 24 + 6. Let c be b(m). Determine v(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 15) to base 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 1 = -111. Let f = -6751\/33 - -1249\/6. Calculate the common denominator of (-3027)\/(-132) + (-4)\/w and f.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103000.\nAnswer: 2, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 - 131*c**2 + 385*c - 300. What is w(128)?\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/24 and 10*3\/((-288)\/116).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/6)\/(483\/92)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*-4*((-32)\/48)\/(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h**3 + 18*h**2 - 11*h**2 + 5*h**3 - 9*h**2 - 498*h to the form k*h + x*h**2 + z + y*h**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of y**5\/30 - y**4\/24 - 7*y**3\/3 - y**2\/2 - 144. Let x(i) be the third derivative of p(i). What is x(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6460?\nAnswer: 2, 5, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 346688 is divided by 57781?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from efbabbjfbbjfbfjbj. Give prob of sequence fje.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15796 and 21296.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1573253 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 964 - 963.8. Which is the nearest to 3? (a) -16 (b) v (c) 6\/11 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 9345?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 21*g**2 + 3*g + 2. Suppose 0*m - 4*b = -m - 5, 0 = -m - 4*b + 3. What is the remainder when c(m) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 81713\/517 or 157?\nAnswer: 157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(2 - -1)*-2. Suppose -2*j = -5*c + 16, 1 = -2*c + u*j + 11. Let f(x) = -4*x**c - 2*x - 3*x + 5*x. Let a(n) = -2*n**2. Give f(a(v)).\nAnswer: -16*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -46, -90, -158, -256?\nAnswer: -390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -38821*c**3*g**2 + 1820*c**3 + 6*c*g**2 - 49 wrt g.\nAnswer: -77642*c**3*g + 12*c*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f + 3*f + 7*f + 157 + 12*f - 50*f. What is p(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.0244? (a) -5 (b) -2\/59 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-6)*351\/(-78)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*s**2 + 4\/7*s - 4\/7*s**3 + 0.\nAnswer: -4*s*(s - 1)*(s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 33687, 33687, 33693, 33705?\n\"Answer: 3*c**2 - 9*c + 33693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f - 2. Let m(n) be the third derivative of n**4\/12 - 345*n**2. Calculate s(m(o)).\nAnswer: -4*o - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -3*h**2 - 127*h + 1493. Let p be b(-52). Let z be 6 - 3\/9*3. Put z, 2, p, -3 in ascending order.\nAnswer: p, -3, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36207080 a multiple of 686?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/4*(-3)\/780*-4*2\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 78781 not equal to 78269?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -0.053961?\nAnswer: -0.0107922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26725663?\nAnswer: 2267, 11789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millimeter in micrometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/c**(-2\/29)*c*c**(-7)*(c\/(c**11\/c)*c)**(-12) assuming c is positive.\nAnswer: c**(2641\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -50171 (base 8) in base 14?\nAnswer: -7717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2115967?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.3 in 2, 28, -0.4, -2\/9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 36911551?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29*i**2*z**4 + 2*i**2*z**2 - 90*i*z**2 + 3*z**4 wrt z?\nAnswer: -696*i**2*z + 72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of 19*v**7\/21 + 5*v**3\/6 - 2*v - 34. Find the second derivative of f(q) wrt q.\nAnswer: 760*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6, 12, 20, 30, 42, 56, 72?\n\"Answer: j**2 + 3*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 547990 rounded to the nearest ten thousand?\nAnswer: 550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -106 - -111 - (9 - -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of -r**5\/60 - r**4\/6 + 2*r**3 + 1187*r**2. Give o(-8).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.45 - 2.444. Let z = -0.79 - h. Let j = 0.056 + z. What is j rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 5*u - 14 = -69, -2*g + 34 = -2*u. Let b = -51 - -41. Let p = b + g. Solve p = v + 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -4*y**4\/7 - 16*y**3 - 888*y**2\/7 - 208*y - 676\/7 = 0.\nAnswer: -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 64*j - 1856. Let n be p(29). Solve -35*v = -34*v + 4*z + 21, -4*z - 20 = n for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -1\/4 (c) 0.055\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2627, -3, -65, -5 in decreasing order.\nAnswer: 2627, -3, -4, -5, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/5, -8, -0.015, 7, -0.1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -20, -1, 4\/25, -72\/25?\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00596391 to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + 5*b - 4*b)*(-6 + 8 + 6) + 7*b - 3*b - b.\nAnswer: -13*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1379, 700, 5, -706?\n\"Answer: -8*l**2 - 655*l + 2042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75 and 65085?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(76)*2 - 1*sqrt(76)*5)\/(sqrt(44)\/(sqrt(11) + sqrt(1331) + sqrt(1331)*4)))**2.\nAnswer: 4826304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*t**2 + 9*t**2 + 8*t**2.\nAnswer: 11*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-366)\/(-64))\/(405\/60) and 119\/156.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yvyv when four letters picked without replacement from ypkppvyttttyktytv?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 5:30 AM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 9:53 PM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (94 + 146 + 642)*(-h + 2*h + 2*h) to the form b + f*h and give f.\nAnswer: 2646","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 17*r**2. Let w(y) = y**2 - 260. Give x(w(t)).\nAnswer: 17*t**4 - 8840*t**2 + 1149200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence as when two letters picked without replacement from {s: 2, a: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + -5. Suppose -6*i + i = -f. Suppose -4*h = -i*h - 58. Calculate the remainder when h is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22602 divided by 6.\nAnswer: -3767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d + 66437. Let j(x) = 661*x. Determine j(a(i)).\nAnswer: -1322*i + 43914857","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 PM and 5:03 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1009628999 to the power of 1\/3, to the nearest integer?\nAnswer: 1003","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2536705997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 278436 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/3)\/((-3)\/(-4) - (-850)\/(-408)). Which is the fourth biggest value? (a) -1.2 (b) 1 (c) -3.5 (d) -4 (e) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a - 13*a = 8. Let n = -179 - -223. Calculate the highest common factor of n and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - sqrt(200)\/sqrt(10)) + (sqrt(5) - (sqrt(5) - sqrt(20)\/sqrt(4))*5))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of b**4\/6 + 109*b**3\/6 + 3*b**2\/2 + b - 55. What is the derivative of r(p) wrt p?\nAnswer: 4*p + 109","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-308)\/2385 + 62\/465)*9?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 4 + 667*z + 2.\nAnswer: 667*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 4*h**2 + 21*h + 1. Calculate g(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 51170 divided by -35\nAnswer: -1462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*c + 678 - 1278 for c.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -4*c - 61. Let j be b(-15). Let s be j\/((5\/(-180))\/((-18)\/(-12))). Calculate the highest common divisor of 12 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 242 and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/3*l - 2\/3*l**2.\nAnswer: -2*l*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*a, a + 2*a = 5*r + 30. Let z be 2\/r*(6 + -3)*-3. Solve 3*u + 5 = -z*x, 2*x - 3*u = -2*u - 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -78?\nAnswer: -31.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28.2 + 28. Let j = -2\/11 - 1\/55. Is w not equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 7*c**3 + 5*c**2 - 15*c - 5. Let z be -2 + (-26)\/(-91) + (-188)\/(-28). Let g(u) = -3*u**3 - 2*u**2 + 8*u + 2. What is z*g(m) + 2*p(m)?\nAnswer: -m**3 + 10*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -73 (b) -1\/39 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**3 - 66430280*h**2 + 220649105043920*h.\nAnswer: 5*h*(h - 6643028)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -768*q**5 + 380*q**4 - 3*q**3 - 5716279*q wrt q.\nAnswer: -15360*q**3 + 4560*q**2 - 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 9) to base 2.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4278.\nAnswer: 2, 3, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, r: 1, v: 2, o: 3}. Give prob of sequence oior.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -797*r**2 + 5584*r - 4. Calculate w(7).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 1236?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 + 3*a - 28. Let q = 602 - 610. Let b be h(q). Solve 0 = -8*m + 11*m - b for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24128 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 120835*o. Let j(m) = 695*m + 2. Determine v(j(h)).\nAnswer: 83980325*h + 241670","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**(-6\/19)\/x)*(x*x**10*x)\/x)\/(x\/x**(2\/19))**(30\/11) assuming x is positive.\nAnswer: x**(2273\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, d: 3}. What is prob of picking 1 d and 1 z?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -2*k**4\/9 + 12640*k**3\/3 + 6261124*k**2 + 112586464*k\/9 + 18758090\/3 = 0.\nAnswer: -1383, -1, 20345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 + i - i)*(-28*i**2 - 31*i**2 - 31*i**2).\nAnswer: -90*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**5 + 867*t**4 + 828*t**3 - 10452*t**2 - 24240*t - 13824 = 0. What is t?\nAnswer: -288, -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*z - 32*z = 31*z. Solve z = 9*r - 29*r - 80 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2666\/66 - 39\/(-143). Let a = -75\/2 + b. Is 4 not equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(21) - sqrt(210)\/(sqrt(10)*-3))\/sqrt(3).\nAnswer: -8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -0.198, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 5:44 AM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1831*c**2 + 26 - 49 + 76 - 53 to w + s*c**2 + q*c and give s.\nAnswer: 1831","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 403 is divided by 79.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 p when two letters picked without replacement from prpppnpnnrjprrpr.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12\/18)\/((-1)\/(-15)). Suppose 12*m = w*m. Solve -5*i + i = m for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.70361 to 2 decimal places.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.061861 rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 624419149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_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: Calculate the greatest common factor of 795760 and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of 130*p**3\/3 + 201*p**2 + 2*p - 278. What is the first derivative of a(i) wrt i?\nAnswer: 260","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 12 = 5*x - 3*a, -4*a = -x + 2. Let q be (-3)\/x + 809*(-5)\/10. Let o = q - -595. Calculate the highest common divisor of 21 and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 n when two letters picked without replacement from {f: 2, n: 1, y: 1, w: 1, d: 1, h: 8}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -3\/7 - 30\/7*k**3 - 30\/7*k**2 - 15\/7*k**4 - 15\/7*k - 3\/7*k**5 = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23744 + 166535\/7. Let u = 148 + -101. Which is smaller: v or u?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18995.36nm in micrometers?\nAnswer: 18.99536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -11*f**2 - 32*f. Let n(y) = -60921*y. What is s(n(a))?\nAnswer: -40825050651*a**2 + 1949472*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27524 + -27523.89. Which is the third biggest value? (a) x (b) 17 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-20)\/w)\/(w*w**17*w) assuming w is positive.\nAnswer: w**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -6*c + 1. Suppose -c*q + 6*q = -7. Suppose 1103 = q*x - 31. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 3, 4, 2, -1015, 116.\nAnswer: -1015, -4, 0, 2, 3, 4, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/21 and 18\/(-186)*16\/(-18).\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/3, 468, -1.6?\nAnswer: 468","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 AM and 2:31 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -12, -21, -30, -39?\n\"Answer: -9*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (5508\/(-99))\/9 - (-6)\/1\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 4 - 7. Find the second derivative of -5*q + 2*q + 13*q**5 + 0*q - x*q**5 wrt q.\nAnswer: 200*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 167650 (base 8) to base 14\nAnswer: 18504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4368 and 20085000?\nAnswer: 281190000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 10 = -8*x. Let j = -25453 - -25457. Which is the fourth smallest value? (a) x (b) j (c) -0.3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - 135?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11 + 1?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -882*u**2 - 4*u + 179*u**4 + 5*u - u**3 - 16*u**4 + 884*u**2 in the form t*u**2 + y*u**3 + c*u**4 + v*u + g and give c.\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.067189985095 + 1\nAnswer: 0.932810014905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111100010111 + -10011010?\nAnswer: 111001111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1803657 divided by 47.\nAnswer: -1803657\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 109266 * 0.08\nAnswer: 8741.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-32 - (-8 - 7))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -0.3 (c) 17 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(2916)*-4 - sqrt(2916) - (sqrt(36) - sqrt(144)\/sqrt(4))*-3)\/(sqrt(48)\/(sqrt(484)*2 - sqrt(484))*-5).\nAnswer: 2 + 99*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 7, 6, -3 in ascending order.\nAnswer: -3, 0, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/33 and -19\/87.\nAnswer: 957","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of -7*w**3\/6 + 115*w**2\/2 - 13001*w. Determine j(0).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u + 19*u - 9 = -3*y, -2*y + 6 = 4*u. Is 19\/7 at most u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 158, -4, 64, 7, 3, 351, -3 in ascending order.\nAnswer: -4, -3, 3, 7, 64, 158, 351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -973.788 + 973. Let x = 0.588 + z. Suppose 7 = -5*w + r, 2*w - 4*r = 3*w - 7. What is the closest to 0.7 in w, x, -2\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 62126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s + 6. Let l be v(-4). Calculate the greatest common divisor of 98 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/19385 in 0.2, -2, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.93 plus -0.00114?\nAnswer: 1.92886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d - 2*d - 4*d. Let t(i) be the first derivative of i**2\/2 + 8*i - 3592. Give t(j(c)).\nAnswer: -5*c + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4546188962 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 366 is divided by 94?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u. Let d(a) = 2*a**2 + 1. Let w be d(1). Suppose 0 = -w*j, -5*g + 2*j = -g. What is v(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -7*s**2 + 21*s + 28. Let a be l(24). What is a rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.067 + -1.587. Let b = c - -1.5. Sort 0.4, -2, b in ascending order.\nAnswer: -2, b, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -0*p - p. Let h be ((-133)\/(-1463))\/((-8)\/(-22)). Is h greater than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4103310 (base 5) to base 13.\nAnswer: -24101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -4*o**3 + o**2 + 1. Calculate the remainder when 1826\/10 + (-3)\/5 is divided by g(-2).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b + 0*b + 2*b)*(-2*b - b + b) + b**2 + 1 - 1 + (25 - 25 - b**2)*(-3 + 5 - 3).\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 r when two letters picked without replacement from vvmaimiioivmririim?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 30103311122 (base 4) in base 14?\nAnswer: 60001c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -92.\nAnswer: 7\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46203.\nAnswer: 3, 15401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 90 = -5*k, -k + 19 - 7 = 2*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 + 28 = -w. Suppose 2*r - 6 = 0, 3*i - 5*i = -5*r + 3. What is the smallest common multiple of w and i?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 621734732 to the power of 1\/2, to the nearest integer?\nAnswer: 24935","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 0*a - 3*a - 380 + 382. What is the tens digit of i(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -7.99. Let p = -0.01 - x. Let n = -0.01 + p. What is n rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 285 divide 969014?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005675736 rounded to 7 dps?\nAnswer: 0.0000568","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*f - 210 = -13*f. Let u = 302\/17 - 2789\/68. Find the common denominator of u and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -4223*a + 2. Let o(q) = -5*q**2. Determine f(o(w)).\nAnswer: 21115*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-405)\/(-135) + 0 + 1\/1. Solve 4*c + 4 = 0, -o - 5*c - l - 2 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 143256 (base 15) to base 7\nAnswer: 11160240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -1)\/(-1)*8\/18.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18449 + -18446. Let n(v) = 132*v - 394. What is n(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + -13 - -18 - 7.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 64, 62, 60, 58?\n\"Answer: -2*u + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(6*((sqrt(110) - sqrt(110)*3 - sqrt(110))\/sqrt(10) + 2) - ((sqrt(396) + -1 - sqrt(396) - sqrt(396))*-6 + 0)) + 3)**2.\nAnswer: -9072*sqrt(11) + 513657","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2792 times -3?\nAnswer: -8376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -95*j**2 + 36*j**2 - 2*j**3 - 2 + 31*j**2 + 31*j**2 + j**3 + j. Calculate d(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6229, -6173, -6125, -6079, -6029, -5969, -5893?\nAnswer: -5795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(-112)*-62)\/((-4)\/(608\/(-19)))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 804 = 4*n - 2*n. Let p be 1\/5 + n\/15. What is the units digit of 2 + 1 + 0 + p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (252\/(-15) - -2)\/((-14)\/70). Solve -3 = -f*u + 75*u, 4*a = 4*u + 8 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 5:34 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, m: 3}. What is prob of sequence lm?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 8:11 AM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -6 + 4 - 11*l - 5*l**2 + l**3 + 13*l - 1. Let w = 13 + -8. Does 2 divide y(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 29308 and 322388?\nAnswer: 322388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -62915420365285 - -1?\nAnswer: -62915420365284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 1 + -1 + 2 - 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*l + 2*l. Let x = 5 - 5. Suppose 0 = l*w, -4*z - 3*w + 164 - 24 = x. List the prime factors of z.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/2, 81, 2, -0.05, -3\/5?\nAnswer: 81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 - 1*(-52)\/16. Suppose 0 = h + t, 0*h - 2*h = -5*t. Solve 0 + 1\/2*j**2 - 3\/4*j**3 + k*j**4 + h*j = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1220, 9782, 33058, 78398, 153152, 264670, 420302, 627398?\n\"Answer: 1225*m**3 + 7*m**2 - 34*m + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12\/(-8)*((-812)\/12 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/21*(-2)\/((-24)\/(-42))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**3 - 33*v**2 - 10*v + 669. Calculate z(15).\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (993 - 1022) + 0 + 10.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -5\/2, -4\/9, 3\/316, -5?\nAnswer: 3\/316","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -617, -602, -579, -548, -509, -462?\nAnswer: -407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 8883.986ug?\nAnswer: 0.000008883986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 - -21. What are the prime factors of x?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 5*d, -27*d - 5*b = -24*d - 32. Let y = -718 + 720. Solve 0 - 4\/13*u + 4\/13*u**d + 6\/13*u**3 - 6\/13*u**y = 0.\nAnswer: -2, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 1 = 3*l, 12 = -0*o + 4*o + 4*l. Suppose -3*b + 3 = c, -o*b + 24 = -c + 4*c. Let r(y) = -y + 12. Let p be r(c). Solve -2*m = -p*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -125, -326, -607, -968, -1409?\nAnswer: -1930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.62472556 to 4 dps.\nAnswer: 0.6247","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - 15*a**2 - 40*a + 104. Let l be u(17). Sort l, 3, 633, -1 in decreasing order.\nAnswer: 633, 3, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ntpn when four letters picked without replacement from tntttttwnttnptttnntt.\nAnswer: 13\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 349687\/30145 + -1\/6029. Determine r, given that -i*r + 88\/5*r**3 - 16\/5*r**4 - 81\/5*r**2 - 8\/5 = 0.\nAnswer: -1\/4, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 25 = -c. Suppose -58*t + 16 = -1144. What is the highest common factor of t and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**3 - 6*i**2 - 35*i + 8. What is the hundreds digit of b(10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -32*o**3 + 32. Let n(u) = -1. What is h(v) + 32*n(v)?\nAnswer: -32*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14930 - 14910. What is the remainder when 375 is divided by w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 3 = -9. Let d be 83\/4 - 1\/(-4). Suppose 5 = -c*a + d. Solve m - a*t = 8, 5*m - 3 = 3*t + 3 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 10:12 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 549, 553, 559, 567, 577?\n\"Answer: t**2 + t + 547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31396, 125505, 282352, 501937?\nAnswer: 784260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 divided by -23.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + 5*p - 3*p)*(3*p - 2*p - 3*p) - p**2 - 1 + 1 + (-4*p + 2*p + 4*p)*(2*p - 2*p + 2*p) - 53*p**2 - 190*p + 190*p.\nAnswer: -48*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 45 = 2*a + 38, 5*a = 2*f + 30. Let v = 71 + f. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26873304.128 - -0.5.\nAnswer: -26873303.628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 606 is divided by 190?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 319 is divided by 69.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -2\/5 (c) -5 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.9 * 789.\nAnswer: 710.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 4*g + 4. Let n(v) = -3*v - 8 + 13 - 4*v. Let q(k) = 8*k - 6. Let w(t) = 7*n(t) + 6*q(t). Calculate -2*a(l) - 9*w(l).\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(6\/7 + -1). Factor -s*g + 0*g + g**2 + 9 + g.\nAnswer: (g - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4626420 to the nearest ten thousand.\nAnswer: 4630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 + 1884*m + 65221. Calculate w(-34).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 157182.8954 rounded to the nearest one hundred?\nAnswer: 157200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + -1*(1 - 0). Let k(u) = 15*u**3 - 12*u**3 - 3*u**2 - 4*u**3 + u + 5*u**2. List the prime factors of k(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 4, 112535, -131, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*41027\nAnswer: 4102.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -33.8 * -15324.\nAnswer: 517951.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/4 (b) -2 (c) 0 (d) 25.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - r + 7585 = 0, 0 = -p + 5*r - 322 + 2877. Is p a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 40*f**2 - 3*f + 5. Let i(w) = -38*w**2 + 3*w - 6. Give -5*i(a) - 6*k(a).\nAnswer: -50*a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 - 23. Suppose 110 = b*q - 430. List the prime factors of q.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = p - 1, 0 = 4*t - 2*p - 38. Is (1 + 253)\/(t + -9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 800?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 871 and 134?\nAnswer: 1742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -605*w - 1194072249 + 1194072249.\nAnswer: -605*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1565587\/20104 + -3\/5026. Suppose 3*r - 7*z + 3*z = 234, r + 2*z - 78 = 0. Let v = b + r. What is the second smallest value in -3, 0, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44700 and 424200.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 - 17. Let b(p) = 13*p + 1. Suppose -4*c - 4*y = 0, 5*y + 12 + 8 = -c. Let s be -6*(10\/(-6))\/c. Let n(z) = -3*z. Give r*n(g) + s*b(g).\nAnswer: -g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l + 2. Let a be m(-2). Suppose -5*v + v - 8 = a, 3*y - v - 23 = 0. Let g be 284\/18 - 2\/(-9). Solve y*c - 3*c - g = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -50*u + 14. Let v(z) = z - 1. Give h(p) + 12*v(p).\nAnswer: -38*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 + -7. Suppose 6 = -4*f + n*f. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/31 - 25\/186. Find the common denominator of (-1227)\/(-432) + -2 + 4\/18 and n.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29 + -24. Suppose f*b - 75 = -0*b. Is 5 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2394245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1677a (base 13) in base 16?\nAnswer: a813","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 564, 1031, 1578, 2205, 2912, 3699, 4566?\n\"Answer: 40*n**2 + 347*n + 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -0.5, -101\/19?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14)\/(-8) + (-2)\/(-8). Let v = -1496 + 1495. What is the biggest value in -2\/13, v, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.5 minus -350.1076?\nAnswer: 356.6076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6909330*v**3 - 276*v**2 + 2*v + 28.\nAnswer: -41455980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -6, 5, 12, -3 in descending order.\nAnswer: 12, 5, -1, -2, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seven quarters of a micrometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -10 + 6 + (3 - -6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 220*n**2 - 476*n - 8741. Determine j(-218).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ahgbgh. Give prob of sequence gh.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*f**2 - 14*f - 7*f**2 + 5*f**3 - 6*f**2 + f**3.\nAnswer: 6*f**3 - 24*f**2 - 14*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/b**(-1\/4))\/b)**(-10) assuming b is positive.\nAnswer: b**(-25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-12)\/8*(-12)\/(-72)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 3 - 3 = -3*m, m = 5*k + 20. Let l(v) = 23*v + 6. Let i(s) = 16*s + 4. Let g(j) = m*l(j) - 7*i(j). Calculate g(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 151*v**2 + 16*v + 6. Let z(s) = -50*s**2 - 5*s - 2. Let d(c) = -2*j(c) - 7*z(c). What are the prime factors of d(-1)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3*j + 23 = -20, 5*m - 4*j - 90 = 0. Let v = 43 + m. Let i = v + -45. Is i a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of 500*w**2 - 9*w + 0 - 1\/20*w**5 - 1\/3*w**3 + 1\/12*w**4. Let u be t(0). Round u to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of -u**3 + 0*u**5 - 5*u**2 + 0 + 1\/30*u**6 + 0*u + 0*u**4. Find the first derivative of g(a) wrt a.\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 5*v = -94 + 61, 18 = y + 4*v. Solve -r = 5*h - 10 + 3, 2*r - 4*h + y = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(13\/5)*c*c**(-7)*c assuming c is positive.\nAnswer: c**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-216)\/(-81))\/((-2)\/3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 653, 0.1, -13, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23\/((-2)\/4*-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 - l**2 + 9*l + 9. Suppose -7 = -5*u - z - 21, z + 11 = -4*u. Let r be d(u). Which is smaller: r or -4\/57?\nAnswer: -4\/57","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -86*k + 822. Give g(10).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + 4*t**2 + 4. Let h be x(-4). Suppose 2*o = -h*s + 22, -4*s - 2*o = 2*o - 32. Solve k - 18 = -4*u - 4, -3*k - s*u = -6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*f - 281 + 826 + 557 + 602.\nAnswer: 22*f + 1704","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, v: 2, x: 3, l: 5, r: 3, u: 1}. What is prob of picking 1 t and 1 x?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of -t**6\/360 + t**5\/30 - t**3 - 4. Let n(y) be the third derivative of l(y). Find the second derivative of n(o) wrt o.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 7071.\nAnswer: -5\/7071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -10927, 0.77, 3.7?\nAnswer: 0.77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -863309 and -3.\nAnswer: -863312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2792?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4\/7 (b) -3\/7 (c) -2\/9 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 2140\/81909?\nAnswer: 2140\/81909","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6276105 is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -30, 0.1, -45, -2\/3705?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 (base 16) in base 2?\nAnswer: -11001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 428*x. Let s(f) = 14*f + 11*f + 22*f - 48*f. Calculate s(j(u)).\nAnswer: -428*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -506, -1824, -4036, -7142, -11142, -16036?\nAnswer: -21824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - g + 3. Let x = 2 - -1. Suppose 0 = 4*y - x*y + 1. Let u be (0\/y)\/((-3)\/3). Give w(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5892273, 5892312, 5892351?\n\"Answer: 39*n + 5892234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2580 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 the cube root of 1838887 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.041 * 1852\nAnswer: -75.932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 1) + (14 + 7 - 15) - -6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -3*x**3 - 3367*x**2 - 1092*x + 33561. Determine y(-1122).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4716 and 1364.\nAnswer: 1608156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 x, 1 f, and 1 d when four letters picked without replacement from ppppdfxfpxpfpf.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = -4*s - 12. Suppose -d = -z - s, d - 3*z = 2*z. Suppose 0*r = 5*c + 5*r - 155, 4*r - 159 = -d*c. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.2 (b) -0.075 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 546, 546, 552, 564, 582?\n\"Answer: 3*v**2 - 9*v + 552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4726476 and 1980?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1716 and 9528662.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0886 to two dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 - -31. Let y = p + -11. Suppose 0*d - d + y = 0. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y + 27 + 33 = 0. Let p = 3 - y. Solve h + p = -3*k, -5*h + 4 = 2*k - 13 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwww. Give prob of picking 2 w.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(10\/(-6)) - -2. Suppose h*x - 2*c + 249 = 6*x, 0 = 3*x + 4*c - 739. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - -1975.\nAnswer: 1973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6997758 is divided by 1163.\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + 9*v + 13. Let i be y(-7). Let x be (i + 31)*(6\/(-15))\/(-1). Let s = 243 + -123. What is the greatest common factor of s and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 6*v - 18 = 4*c, 4*c + 4*v = -8. Put 1, c, 2\/9, -2 in decreasing order.\nAnswer: 1, 2\/9, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4879 or -4881?\nAnswer: -4881","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) + sqrt(190)*-2*-5 + sqrt(190))\/(sqrt(120)\/sqrt(3)) + 4 - (1 + 4 + -4*-2*sqrt(475)).\nAnswer: -34*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191 is divided by 108?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -52.6 minus 0.121?\nAnswer: -52.721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 30*v**2 + 2088761*v - 145074722 wrt v.\nAnswer: 60*v + 2088761","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of -1\/20*p**6 - 1\/15*p**5 - p**2 + 0*p + 0*p**3 + 0*p**4 + 0. What is the third derivative of b(v) wrt v?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101211 - -1?\nAnswer: 101212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 3*u - 4 + 20, 4*u - 3*g = -23. Is u\/(16\/(-1012))*2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5 - 3 = 0. Let h(k) = -k**2 + 9*k - 12. Let r be h(z). Let d = r + 11. Solve -d - 5 = 3*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -124 and -125 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*((t\/t**(-3\/2)*t)\/t)\/t)**38*(t\/(t**(-4)*t))**(-3\/26))**(33\/7) assuming t is positive.\nAnswer: t**(40557\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w\/((w*(w*w**(-11))\/w)\/w)*w)*w*w**(-16\/5)\/w*w)**(10\/9) assuming w is positive.\nAnswer: w**(-44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 95232 or 95062?\nAnswer: 95062","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 3*n**2 - 27*n - 34. Let q(t) = 3*t**2 - 27*t - 36. Let i(x) = -3*l(x) + 2*q(x). Determine k, given that i(k) = 0.\nAnswer: -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + 21*r + 186. Give a(-19).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d. Let q(l) = -6*l. Let v(o) = -a(o) - q(o). Let u(c) = -c**2. Determine u(v(g)).\nAnswer: -49*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of v**6\/480 + v**5\/30 - v**4\/24 - 4*v**3\/3 - v**2 + 193*v + 45. Let s(l) be the second derivative of f(l). Factor s(g).\nAnswer: (g - 2)*(g + 2)*(g + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.26 take away -1571?\nAnswer: 1554.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6984 - -6983. Which is the biggest value? (a) y (b) -3\/4 (c) -152\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + -32 + (2 - ((0 - -2) + 3)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*v*w**2 - 367562*v + 71191*w**2 + 53*w with respect to v.\nAnswer: 6*w**2 - 367562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(1*(sqrt(1053) - sqrt(1053)*-3) + sqrt(1053)))**2.\nAnswer: 236925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 82\/3 + -27. Let n be 0*(-1)\/2*-1. Let r = p + n. Sort -5, -2, r in decreasing order.\nAnswer: r, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -15*t - 665. What is w(-52)?\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f + 0*f + 3*f)*(3*f**2 - 1 + 1)*(0 + 0 + f + (-3 + 1 + 0)*(0*f - 2*f + 0*f) - 5 + 5 + f + (-207 + 41*f + 207)*(1 - 2 + 5)).\nAnswer: -1020*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 AM and 4:20 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, u: 1, r: 2, i: 1, j: 2, c: 1}. What is prob of sequence cr?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -1 (b) -21 (c) 0.2 (d) -0.5 (e) -106.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 3*m + 3 = 0, 0 = -2*d + 3*m - 3 + 6. Suppose -7 - 2 = -3*y. Suppose d = -6*p + y*p + 33. Calculate the greatest common divisor of p and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 6*i**2 + 5. Suppose -3*y = -0*y - 3*c, 4*c - 8 = 0. Suppose y*q - 5*k - 8 = 0, 6 = 3*q + 3*k + 36. What is w(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - 46*i + 50. Let t be c(45). Suppose -15*r = t*l - 13*r - 3966, -2388 = -3*l + 3*r. What is the hundreds digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 105 = 5*s. Let a = -42539 - -42569. Calculate the remainder when a is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7663 to the power of 1\/2, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -130 (base 9) to base 2\nAnswer: -1101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92525.\nAnswer: 5, 3701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 0.2 (b) -33 (c) -2\/397\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -6\/24775?\nAnswer: -6\/24775","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of 31*k**7\/14 + k**4\/6 - 2*k**3 + 2*k - 41. Find the third derivative of p(l) wrt l.\nAnswer: 5580*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, o: 5, x: 5}. Give prob of sequence xxol.\nAnswer: 5\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4848 and 96.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 73, 120, 141, 130, 81, -12, -155?\nAnswer: -354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -226.00001176 - -226. Round s to six dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 1092982068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0017218789 rounded to 4 decimal places?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001476 rounded to four dps?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1288)\/294 - -2) + ((-4)\/3 - -2)?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31664430.\nAnswer: 2, 3, 5, 7, 50261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -690, 5, -2 in decreasing order.\nAnswer: 5, -2, -690","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-400)\/160)\/((-5)\/(-44)). Which is the smallest value? (a) -4 (b) q (c) 42 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 2*m - 118, -d + 5*m = 5 + 38. Is 5270\/9 - 28\/d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of -r**7\/70 - r**6\/24 - r**4\/2 - 5201*r**3\/6 + 1653*r**2. Find the first derivative of y(q) wrt q.\nAnswer: -12*q**3 - 15*q**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (0 + -1) - 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 4*q**2 - 19*q**3 + 2 + 2*q - q**4 + 17*q**3 - 5 to the form p*q**2 + k*q**4 + f + z*q**3 + s*q and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(2 + sqrt(19)) + 6*sqrt(19)*-3 + -4)**2.\nAnswer: -60*sqrt(19) + 4279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 - 2) + (-2 - -5). What is the second derivative of -90*c**2 + 0 + v*c**2 - 1 - 4 - 10*c wrt c?\nAnswer: -170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = s - 2. Let i = -7 + s. Suppose -i*w - 4*j = 8, -4*w - 2*j + 0 - 4 = 0. Solve w = q + 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u. Let a(t) be the third derivative of 0*t**3 - 11\/12*t**4 - 16*t**2 + 0*t + 0. Give a(b(l)).\nAnswer: -22*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1694, 2, 0.\nAnswer: -1694, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20 - -17) + (6 - -5) + 16?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1192, 1396, 1560, 1666, 1696?\n\"Answer: -3*x**3 - 2*x**2 + 231*x + 966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.178 times 6\nAnswer: -1.068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 209278190 a multiple of 427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31819103.\nAnswer: 2111, 15073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4577942, -9155859, -13733776, -18311693, -22889610, -27467527?\nAnswer: -32045444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 7*p**2 + 6*p - 12. Let z(r) = -6*r**2 - 5*r + 10. What is -4*i(n) - 5*z(n)?\nAnswer: 2*n**2 + n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 - 225*v - 9138. Calculate g(-172).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41623735?\nAnswer: 5, 17, 489691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 12:35 AM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*x**4 - 4*x**3 + 19016*x - 19014*x + 2 + x**2 + 7*x**3 + 42*x**4 as u*x**3 + s*x**2 + n*x + i*x**4 + k and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, -3, -92501, -6 in ascending order.\nAnswer: -92501, -6, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttbttttttbtttbbtt. Give prob of picking 1 b and 1 t.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*s**2 - 2*s - 4*s**3 + 30*s**4 - 26*s**4 + 8 + 6*s.\nAnswer: 4*(s - 2)*(s - 1)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 108 = 24. Let c(f) = -12*f + w - 66 + 34*f. Let x(j) be the third derivative of -j**4\/12 - 93*j**2. Give c(x(g)).\nAnswer: -44*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.362 + -2.362. What is the biggest value in -0.3, -17, -0.4, p, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -29 + 15 - 82 - (-1 - 2) - -10?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3877, 15456, 34751, 61762?\nAnswer: 96489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/2580 and -149\/2580.\nAnswer: 2580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 12 = 28. What is the remainder when 173 is divided by g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tl when two letters picked without replacement from lotxoioorxrx?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 3*w**3. Let x(j) = 3*j**3 - 4*j**2 + 4*j - 4. Let h be x(2). Suppose -4*d - d = 25. Let a(u) = u**3. Determine d*s(m) + h*a(m).\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 4*t**2. Let j be c(-4). Suppose 25 = -5*a, 23*v + 49 = 26*v - 5*a. Solve 5*f + 3*m - v = j, 4*m - 7 = -3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 b when two letters picked without replacement from zmggbmbzlmbggm?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of 7*y**4\/3 - 56*y + 42. Let r(j) be the first derivative of b(j). Let w(p) = 2*p. Give w(r(f)).\nAnswer: 56*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 0, 0.3, -147\/118, -2, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 50*((-36)\/(-30))\/1 + 0. Calculate the highest common factor of 30 and t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 148676686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1343436 divided by -4\nAnswer: 335859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 777188537 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*c**3 + 939 - 3*c - 2*c**2 + 0*c**2 - 8*c**3 + 7*c**2 - 705 to z*c + w + h*c**2 + m*c**3 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 27308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1031 and 0.1?\nAnswer: -103.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -3*j**2 - 54*j - 99. What is z(-16)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3301.4 millilitres?\nAnswer: 3.3014","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 o when two letters picked without replacement from tvody.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1462.076 + 1465. Let w = 0.024 - p. Let k = 1.1 - w. What is the second smallest value in 2, k, -2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54889?\nAnswer: 131, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2120580 and 124740?\nAnswer: 2120580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-4 + (sqrt(192) - (sqrt(192) + 3*sqrt(192) - sqrt(192)))))**2.\nAnswer: 2048*sqrt(3) + 12544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*n**4 + 82046*n**3 + 39069 wrt n?\nAnswer: 8*n**3 + 246138*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qg when two letters picked without replacement from {g: 3, q: 4}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1077.17 - 1042. Round u to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7691753567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1556*g**2 + 185*g - 185*g + 14068*g**2.\nAnswer: 15624*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-272)\/20)\/(-4) - 108\/270.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5162 by 5.\nAnswer: 5162\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-136))\/((-3)\/4)\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 122. Let c = 116 - d. Let g = -7 - -12. Sort g, c, -2 in descending order.\nAnswer: g, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 x when two letters picked without replacement from {y: 2, o: 2, e: 6, c: 1, x: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/3)\/(7\/(84\/(-8)))*(-2)\/(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 + 19. Suppose -5*k + 16 = -4*c, -o*k + 5*c = -5 - 2. Solve -4*z - 10 = l + k, -5*l - 7 = -z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x - 6. Let t be h(-7). Suppose -2*n + t = -0*n. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 593709?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + -1c7?\nAnswer: -1c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 + 4*w - 2. Suppose 12*c - 41 = -17. Suppose -2*z + h + 3*h = -20, 0 = -z - 5*h - 18. Suppose -6 + c = -z*r. Determine y(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -90 or -241?\nAnswer: -241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h**4 + h**4 + 5*h**4 + (2*h + h - 4*h)*(-h**3 - 2*h**3 + 6*h**3) as r*h**4 + g*h**2 + t*h + c + u*h**3 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 26094252.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/267 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 287.03781 months to millennia.\nAnswer: 0.0239198175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -206*o**2 + 2*o + 5383. Let m(j) = -j. Determine m(c(a)).\nAnswer: 206*a**2 - 2*a - 5383","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44) - (sqrt(44) + sqrt(44)*1*2))\/(sqrt(8)\/(sqrt(6)\/sqrt(3))).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - 0. Let p = y + 3. Factor -2*d + 4*d + 2*d**3 - 2*d**2 + 6*d**p.\nAnswer: 2*d*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 229\/170481780 and -19\/150?\nAnswer: 852408900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 3*y - 4, -3*y + 2*y = -2*a. Suppose -56 + y = 4*c. List the prime factors of 21\/2*(-8)\/c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33 - -28. Let w be s*(4 - 92\/20). Find the third derivative of 27*b**2 - 26*b**2 + 2*b**w - b**3 wrt b.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 1035.85?\nAnswer: 3107.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s - 2. Let y be j(-8). Let i be 0\/(36\/(-24)*8\/y). Solve i*p + 4*p + 4 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 79095 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/(-9)*(-6)\/4. Solve y*d - 4*x = 14, d + 0*x - 5*x = 22 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m**2 - 5*m + 11. What is p(5)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3\/4, -0.06, 2, -2\/5, -14.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/192 and 55\/5136.\nAnswer: 20544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of 3*k**2\/2 - 6*k + 1. Let w(l) = -1 + 773*l - 374*l - 401*l + 1. Determine h(w(n)).\nAnswer: -6*n - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16\/(-56) + (-667)\/(-7). Let d = o - 90. Solve -d*m - 7 - 13 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 3 + 0 + q)*(10 + 10 + 3 + 17*q) to u*q + z + c*q**2 and give c.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110869500 is divided by 49.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 + 5*c + 7. Let s(j) = -j**2 + 4*j + 8. Let a be s(7). Let h = -7 - a. Determine l(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 99 + -95. Suppose x*n - 268 - 108 = 0. What is the remainder when n is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 2*h**2 - 3*h - 9. Calculate s(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 57*r**3*z**3 - 2*r**3*z**2 + 30*r**3 + r*z + 2*z**3 wrt z?\nAnswer: 342*r**3*z - 4*r**3 + 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3827 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of 19\/8*f**4 + 0 - 20*f**2 + 0*f + 0*f**3. Let r(c) be the third derivative of c**5\/30 + 3*c**2. What is t(r(x))?\nAnswer: 114*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9 is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-115)\/(-25) - (-3)\/(-5). Suppose -o*w + 78554 = -2*h, 0*w = -w + 3*h + 19636. Suppose q = -w - 1361. Round q to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-20)\/(-36) - 12\/(-27). Which is the closest to -1? (a) n (b) -0.2 (c) 0.2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 45250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 722147376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z = -10*z - 33. Suppose -y = 2*f + z, 5*f + 3*y = -0*f - 27. Let v(m) = -9*m + 25. Let c(x) = 2*x - 6. Let l(b) = f*v(b) - 26*c(b). Determine l(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3508.\nAnswer: 2, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14480.\nAnswer: 2, 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/5, 0.06, 70, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 380.9124ug in milligrams?\nAnswer: 0.3809124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6851 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 323, -0.032189, -4, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27\/8*a + 0 + 3*a**2 - 3\/8*a**3.\nAnswer: -3*a*(a - 9)*(a + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*u - 45 - 9 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 8 = 16. Suppose -h - 2*h - r = -3*f, -4 = -f - 2*h. Let p = f + 47. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 5*o + 1295 + 1032, 2*o = -4. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66 and 1551.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(280\/(-21)))\/((-1542)\/(-130556))?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 12:26 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10\/13 + -33\/26. Let f(z) = z**3 - 5*z**2 - 6*z - 4. Let o be f(6). Let a(u) = 2*u + 6. Let p be a(o). Does x = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 671 (base 9) in base 10?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 275928109 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0\/((n**(-1\/3)*n)\/n))\/(n**(2\/7)*n*n**4) assuming n is positive.\nAnswer: n**(-104\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 583320 * -148\nAnswer: -86331360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -5*t**2. Let a(z) = 6835*z + 6965. What is a(p(k))?\nAnswer: -34175*k**2 + 6965","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57639?\nAnswer: 3, 19213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14*0.8.\nAnswer: 11.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10268 and 5.\nAnswer: 51340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 374 is divided by 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 28808 and 2.\nAnswer: 57616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -31*w**2. Let x(l) = 4863*l**2. What is x(q(m))?\nAnswer: 4673343*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 - -30. Let c(y) = -3*y**3 - 4*y**2 + 2*y + 2. Let o(r) = 9*r**3 + 13*r**2 - 7*r - 7. What is h*o(m) + 7*c(m)?\nAnswer: -3*m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 272 and 28024?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 9*h**3 - h**2 - 16*h - 1. Let n(u) = -5*u**3 + 8*u + 1. Let b(l) = -4*j(l) - 7*n(l). Give b(6).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2*1)\/(-36))\/((1365\/(-70))\/(-39)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 44\/5 of a microgram?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9569 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + x + 17 = 0, -4*t = -t + 5*x + 59. What is the common denominator of t\/(-4 - (-12)\/15) and 115\/14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4216, 5333, 6446, 7555, 8660, 9761?\nAnswer: 10858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/7 (b) -2\/449 (c) 4\/13 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - s**2 - s + 26. Suppose 0*t = -3*t. Suppose t = -7*o + 2*o. Is h(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 0*s + s)*(-s**2 + s**2 - s**2) + (0*s - s + 0*s)*(-20*s**2 + 49 - 49)*(-2 + 4 - 4).\nAnswer: -39*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*l - 2*l. Let r(b) = 2*b - 25. Let w be r(13). Sort 3, w, l in increasing order.\nAnswer: l, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w**2 + 22*w + 2. Suppose 17*d - 22*d + 35 = 0. Let b be c(d). Suppose -5*a - 38 = -b. Is 12 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*r**2 + 96*r**3 - 2 + 38*r - 36*r - 2 + 4 wrt r?\nAnswer: 576","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (65*b - 14*b - 2*b)*(0 + 6 - 4)*(-6 - 1 + 1) in the form d + h*b and give h.\nAnswer: -588","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7711?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*p**2 + 3*p**2 - 45*p**2 + 17*p**2 - 16*p to s + q*p + h*p**2 and give q.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16413 + 16409. Put 10, d, -3, 12, 2 in descending order.\nAnswer: 12, 10, 2, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a hour in seconds?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (29 - -25) + -73 + (-4 - -4 - 43).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 240 - 244.21. Let f = 0.79 - n. Let d(h) = -2*h**3 - 2*h**2 + h - 2. Let b be d(-2). Put b, -0.2, f in increasing order.\nAnswer: -0.2, b, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - 9\/(27\/12). Let d(q) = 3 - 18*q + 3*q - 11*q - 5*q. Does 13 divide d(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -s**4\/4 + 7*s**3\/3 - 4*s**2 + 5*s + 28. Let c be m(5). Suppose 3*o - o - 30 = 0. Is c at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -17*q**3 - 13*q - 14. Is d(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from slosolllhllhlllooo. What is prob of picking 2 s and 2 h?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 165000 and 1059960?\nAnswer: 132495000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5899, -6453, -7369, -8647, -10287, -12289, -14653?\nAnswer: -17379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -38, -75, -118, -173, -246, -343, -470, -633?\n\"Answer: -x**3 + 3*x**2 - 39*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**5\/5 - 74*q**4\/5 - 242*q**3\/5 + 74*q**2\/5 + 48*q = 0. Calculate q.\nAnswer: -3, -1, 0, 1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -7*q + 7. What is the units digit of b(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1.45 (b) 4\/7 (c) -4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 976c (base 16) to base 14\nAnswer: 101ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 829\/183067 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -4*q**2 + 10*q - 22. Let z(f) be the third derivative of -f**5\/60 + f**4\/8 - 7*f**3\/6 + 3*f**2 + 43. Give -2*x(m) + 7*z(m).\nAnswer: m**2 + m - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of 17\/2*w**3 + 0 + 2*w - 1\/2*w**2. What is the remainder when g(1) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36.9942 rounded to zero dps?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91*1086.6.\nAnswer: 98880.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*i + 432 = 524 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 151791733 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -3*s**2 - 151*s + 1519. Determine f(-58).\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10021002 - -1?\nAnswer: 10021010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, z: 1, v: 7}. What is prob of sequence vz?\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 1028998839?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 o when three letters picked without replacement from {o: 5, u: 5}.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + 0. Let k = -7.4 - -15.3. Let h = 8.9 - k. What is the closest to 0 in h, p, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 132 and 13584072?\nAnswer: 149424792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 9, 49, 117, 213, 337, 489, 669?\n\"Answer: 14*s**2 - 2*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 39*t**2 + 4157*t - 807*t**4 - 4154*t - 22*t**2 wrt t?\nAnswer: -19368*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 5)*(-20*w**4 + 18*w - 18*w).\nAnswer: 20*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1671075?\nAnswer: 3, 5, 7, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 51 + -51. Suppose n = 10*p - 6*p + 53484. Let b = -3704 - p. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 4974*s**2 + 2. Let j(q) = 4*q. Calculate j(z(n)).\nAnswer: 19896*n**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 times -863360?\nAnswer: 6906880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40414 - 16218 = -8*h. Let j = h + -4926. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20246 and 62195712.\nAnswer: 62195712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 6*n**2 - 3*n**2 - 2*n**2)*(-12*n**2 - 6*n**3 + 12*n**2).\nAnswer: -6*n**5 - 6*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 45158 to the power of 1\/2, to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**0)**(-2\/41))**(-32)*(m**(-1\/2))**(1\/5)*(m\/((m*m*m*m**(-2\/7))\/m)*m)\/(m\/(m*m**(-3\/4))) assuming m is positive.\nAnswer: m**(-79\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -14*q**3 + 2*q**2 + 2. Let s be g(-2). Let j be (924\/18)\/(8\/(-12)). Let p = s + j. List the prime factors of p.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*a**4 + 156*a**3 + 244830*a**2 wrt a.\nAnswer: -408*a + 936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121 is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 2*h**3\/3 - 47966*h**2\/3 + 671230*h\/3 - 2348962\/3 = 0.\nAnswer: 7, 23969","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-4)*t*t**(2\/33)*(t**2*t)**(-43) assuming t is positive.\nAnswer: t**(-4354\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3910 is divided by 135.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q + 94 + 14, -8*q = s + 11*q + 513 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 342*s + 347*s + 1.\nAnswer: 5*s + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(3*sqrt(102)*-2)\/(6*-1*sqrt(6))*1.\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 12*w - 89. Determine a(13).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 144033836?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = 5*t - 18, 5*o - 2*t - 30 = 0. Suppose -o*g = -g + 6. Is g less than -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-2\/13))**(13\/7))**(-18))**(3\/7) assuming w is positive.\nAnswer: w**(108\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -32. Solve -5*h = z + 3 - p, -4*h + 19 = -3*z for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 11*t**3. Let f(h) = -h. Calculate -b(p) + 2*f(p).\nAnswer: -11*p**3 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/((-5)\/6))\/((-91)\/((-99372)\/(-126)))\nAnswer: -52\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n**(-5)*n)*n)\/n)\/n**(-5))**(-6\/23)\/((n**(-6)\/((n*n\/n**(-2)*n)\/n))\/(n**(3\/4)*n*n*n**(2\/3))) assuming n is positive.\nAnswer: n**(2983\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lnqncqncqlq. What is prob of picking 1 q, 2 l, and 1 c?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19\/2 - -31\/3. Which is the second biggest value? (a) d (b) -5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 121008164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 - 7*d**2 + 20*d + 30. What is the smallest common multiple of t(-9) and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2 - 5 + 2*b + 3 - 1. Let p be 3\/(-15) - (-31)\/5. Suppose 4*h - t = -p, h + 0*h = -3*t - 8. Determine l(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 0.4, -3, 0, 4 in ascending order.\nAnswer: -3, 0, 0.4, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a day in seconds?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011011 (base 2) to base 9.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2 (b) 1\/2 (c) 2\/3 (d) 2.81\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 82940 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -597, 34, -3264 in decreasing order.\nAnswer: 34, 3, -597, -3264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42 - 42. Put -2, -1, n, 2 in increasing order.\nAnswer: -2, -1, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -2\/7, -2, 1\/7, -82?\nAnswer: -82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -77 + 83. Let p(u) = 106*u + 23. Is p(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 155\/1370511 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -87 in -0.99363, 2, 30?\nAnswer: -0.99363","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12706 - -12723. Let q(s) = -s**3 + 19*s**2 - 33*s - 23. Give q(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 9*d + 7. Let x(k) = 19*k + 14. Let p(q) = -13*n(q) + 6*x(q). Let j = 60 - 38. Let v = j + -27. Calculate p(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*y + 46*y - 1271 = -2922 - 1235 for y.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1563132 (base 9) to base 10\nAnswer: 868349","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of -a**4\/4 + 15*a - 70. Let z(l) = l**2 + 33. Determine o(z(c)).\nAnswer: -3*c**4 - 198*c**2 - 3267","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -183b17 (base 12) in base 7?\nAnswer: -3403612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjc when three letters picked without replacement from {j: 7, c: 6}.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5674 and 11.\nAnswer: 62414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n**3 + 0*n**3 - 2*n**3 + (1 + 4*n - 1)*((2*n**2 - 3*n**2 + 2*n**2)*(-2 - 1 + 1) + 15*n - 15*n - 8*n**2) to z + w*n + p*n**3 + d*n**2 and give p.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -736 (b) 2\/5 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 2417 = -15. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*z**2 + 3*z**3 + 2*z**2 - 5*z**3 + (2 - 2 + z)*(-3 + 3 - 2*z**2))*(-247*z + 342*z + 543*z + 0*z) to s*z**2 + p*z + v + b*z**3 + r*z**4 and give b.\nAnswer: -2552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 8) + 6 - 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 4 (b) 0.4 (c) -4 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -3*p**3 - 24*p**2 + 10*p - 6. Let v(n) = 6*n**3 + 47*n**2 - 18*n + 11. Give 11*l(k) + 6*v(k).\nAnswer: 3*k**3 + 18*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 3 + 3*f - 6 + 2*f. Let u be i(1). What is the units digit of u*(-4)\/16*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**3 - f**4 - 3*f**3)*(10*f + 100*f - 18*f + (0 - 2*f + 0)*(0 - 2 + 3)).\nAnswer: -90*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -57, 0, -23400, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -24441 + 34.9?\nAnswer: -24406.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g + 10. Let l be d(6). Calculate the remainder when l*(30\/(-10))\/(8\/(-6)) is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**3 - 6*n**2 - 6*n + 1. Let m be k(5). Let z(y) = 3*y**2 + 5*y + 25. Let c be z(-5). Let r = c - m. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7912358 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -595042.4962 rounded to the nearest ten?\nAnswer: -595040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0215 - -0.2215. Let x = 231 - 229.1. Which is the closest to n? (a) 3 (b) -2 (c) -4 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 638696 and 686.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 25, 4 in descending order.\nAnswer: 25, 18, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l + 11. Let d be m(6). Suppose 2*j = d*p - 77, 4*p = -4*j + 24 + 32. What is the derivative of p*f**2 + 11 - 26 - 4 wrt f?\nAnswer: 30*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -931088\nAnswer: -1\/232772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3883811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11244.\nAnswer: 2, 3, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 81025861?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + d - 84 - 430 = 0, 2*d - 514 = -2*u. What is the remainder when u is divided by 89?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 31401344 + 222?\nAnswer: 31402121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 - 14*h - 21. Calculate f(16).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 791954035 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 - 41*w**2 + 68*w + 761. Give i(-42).\nAnswer: -331","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 62 - 65. Let t(m) be the third derivative of -m**5\/120 + m**4\/12 - m**3\/3 + 2*m**2. Let o(r) be the first derivative of t(r). Calculate o(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-2)*(22 + -14). Let l be u\/8 - 126\/(-4). What is the tens digit of (-256)\/(-10) - (-12)\/l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 321*p**2 - 2*p + 9. Suppose 3*x + 18 = 2*f, -3*x + 2*x - 16 = -4*f. Is n(x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-126)\/4)\/((-2)\/(-4)*-1). Let n = v + -59. Suppose l - 10 = -4*f, n*l - 2*f + 2 = -12. Let q(h) = 2*h**3 + h**2 - h - 1. Calculate q(l).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.373 and -0.169?\nAnswer: 0.542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - 2*-605) + -4 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 17. What is the first derivative of -c**3 + 5*c - 3*c**3 - v*c + 4 wrt c?\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(129\/63 - 2). Let q = i + 34. What are the prime factors of q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5619192410 to the nearest integer?\nAnswer: 74961","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -202 (base 4) to base 15\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-8)\/56*7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 14 = -4*g, 145*g - 142*g = x - 8 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0011839 rounded to five decimal places?\nAnswer: -0.00118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90277.\nAnswer: 11, 29, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 10. Let a be 81\/4 + (-11)\/44. Suppose -4*p = -4*f - 2*p, -a = -5*p. Solve -u - 2*z = 7, -3 = -3*u + f*z + c for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-87)\/(-252) + (-6)\/24)*3\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 11476818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -146105 (base 7) to base 8\nAnswer: -67553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2173126 and 1112?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -113 + 76. Are o and -255\/7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72807987 to the power of 1\/2, to the nearest integer?\nAnswer: 8533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -36\/35 and 57\/2195312?\nAnswer: 10976560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -4\/9, -3.077, -10, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -31164 divided by -106\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 783350.\nAnswer: 2350050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 171 + 183. Calculate the common denominator of 85\/22 and ((-2)\/k)\/(-5*4\/1340).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 27425 = -5*y, -2*g - 21919 = -4*y - 7*g. What is the thousands digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/15456 and -77\/62280.\nAnswer: 40108320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 334\/5, 3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/10 - 1\/((-20)\/56). Suppose -4*x + 0*t + 86399995 = 5*t, 0 = a*t + 3. Round x to the nearest one million.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 961866738?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -12*g + 2. Let w(q) = q. Let j(i) = -2*b(i) - 22*w(i). Calculate the remainder when ((-10)\/4)\/(2\/(-4)) is divided by j(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q - 1. Let o = 7509 + -7513. Let v(s) = -5*s**2 + 6*s + 7. Give o*f(r) - v(r).\nAnswer: 5*r**2 - 2*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4)*q*q)**(-2\/37)*q**(2\/25)*q**(-5)*q assuming q is positive.\nAnswer: q**(-3526\/925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1213939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 16 - 5 + 9*m**2.\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/7 (b) 5 (c) 26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*o = 68727 + 56856. What are the prime factors of o?\nAnswer: 3, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 50490439?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-748)\/102)\/(2\/(-3)) - -4. Solve 48 + 27 = o*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 + 3*k**2 - 5*k - 2. Let s(w) = -w + 1 - 2 + 2*w**2 - w**2. Calculate the remainder when v(-3) is divided by s(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-32 + 32 - 51*g)*(g + 3*g - 5*g + 2*g + 2 - 2 - g + 0 + 0 + 1 - 1 + 2*g + (g - 2*g - g)*(-2 - 1 + 5)) in the form f*g**2 + b*g + y and give f.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r**3 - 950*r**2 + 1520960*r + 441093920 = 0.\nAnswer: -388, 586","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 3495.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence chcs when four letters picked without replacement from xjcsmxhmcxjjjcc.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(152)*-3 - sqrt(152) - (sqrt(152) - 2*sqrt(152)*2))\/((sqrt(24) - (-1*sqrt(168) + sqrt(168))\/sqrt(7))\/sqrt(3)).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 + 29. Suppose -24 = -y - m. Calculate the greatest common factor of 13 and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 4)*(11*t**3 + 135*t**2 - 135*t**2) + (-t**2 - 2*t**3 + t**2)*(1 + 5 - 3) - t**3 - 2*t**3 + t**3.\nAnswer: -30*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s and 1 m when four letters picked without replacement from {g: 2, m: 7, s: 5}.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 149291 and 17?\nAnswer: 2537947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*t**2 + 3*t**2 - 3*t**2)*(60*t + 56*t + 80*t + 19*t) as n*t**3 + h + y*t + j*t**2 and give n.\nAnswer: -430","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1117997 and 194765?\nAnswer: 1312762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**3 - 3*w + 3*w)*(w - 7*w + 4*w) + 20*w**4 + 2*w**4 + 46*w**4 + (w**4 + 0 + 0)*(-1 - 1 + 3).\nAnswer: 65*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6634\/26 + 528\/(-52) + 10 and 75?\nAnswer: 1275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 18085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8618151100.33 and 3.\nAnswer: -8618151097.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - 19) + 19 - 237\/3.\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68079 (base 14) in base 6?\nAnswer: -5225123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 - 388*q - 1949. Let t be z(-5). Sort 45, 2, t in descending order.\nAnswer: 45, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pwjpyuwq. Give prob of picking 1 u, 1 w, and 1 y.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - 11*k**2 + 10*k + 2. Let d be (-12)\/(-12) - -1*9. Let m be h(d). Solve 2*a - a = -4*r + 20, m*a + 5*r - 25 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**3\/7 + 288*k**2\/7 - 5036*k\/7 + 4752\/7.\nAnswer: -4*(k - 44)*(k - 27)*(k - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 123310?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(-1) + 88\/(-22). Let a(o) = -6*o**3 - 5*o**2 - 8*o - 10. What are the prime factors of a(j)?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5951087 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15789807 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 299548\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-21)\/(-2)*8\/3. Let h = -20 + b. What is the second derivative of h*t**2 + 25 - 4*t - 25 wrt t?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -50*d**3 - 2*d**2 - 4*d - 2. Let p be f(-2). Let w = 161 + p. Let i = w - 380. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 + 17. Suppose -k = p*w - 43, 4*w + 5*k - 92 = k. Calculate the greatest common divisor of w and 140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 371133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 14*q**2 + 16*q - 11. Let y be x(15). What is the remainder when 120 is divided by (y - 0) + 37 + 0?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 5*q + 25, 57 = v + 3*v - 3*q. Solve -v = -2*z + 7*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 5*l - 33 = -3, 0 = -5*w - 2*l + 19. Suppose -4*u = w*k - 104, -5*u + 0*k + 159 = -k. List the prime factors of u.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + w - 106 = 49, 0 = -3*w + 15. Let b = 56 + -6. What is the highest common factor of a and b?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.6473 + -3.3473. Which is the third biggest value? (a) d (b) -7 (c) 137\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - f + g = -1, 5*g - 6 = -f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 720 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gdk when three letters picked without replacement from dgggkdg.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*b**5\/7 - 222*b**4 - 3534*b**3\/7 + 6*b**2 + 3600*b\/7 + 216 = 0 for b.\nAnswer: -21, -2, -1, -6\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 7745.8, -5?\nAnswer: 7745.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 921, 864, 811, 762, 717, 676, 639?\nAnswer: 606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 4*l + 42, z + 4*z - 23 = l. Let c = l + 13. Does 3 divide 7 + 12\/(c + -4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*l - 1089 = 176 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 55, 157, 351, 667, 1135?\nAnswer: 1785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 8:36 AM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of w**3\/5 - 3*w**2\/5 + 3*w\/5 + 3. Let u(g) = 0. What is g?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -4043?\nAnswer: 4033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 b, and 1 q when three letters picked without replacement from {x: 1, w: 2, p: 1, b: 1, q: 1, i: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/144 and -97\/8604.\nAnswer: 34416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*a - 2*a + 136. Calculate the greatest common factor of 4 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1236*r**2 + 2393*r**2 + 1618*r**2.\nAnswer: 2775*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5441871.\nAnswer: 3, 61, 131, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -989269290 - -494632?\nAnswer: -988774658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 c when three letters picked without replacement from ggxcecgeeeg.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8071, 8066, 8061, 8056, 8051?\nAnswer: 8046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 233562*n**3*v**3 - 3*n**3*v**2 - 2*n**3*v - 2*n**3 - 4*n**2*v**3 - 232*n*v - 20*v**2 wrt v?\nAnswer: 1401372*n**3 - 24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -24 bigger than -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 381, 1665, 3805, 6801, 10653?\nAnswer: 15361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 2*m = 12. Suppose -a = 4*a - 60. Let q be 42009\/m + a\/4. What is q rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057) - sqrt(2057)*-2)**2 + sqrt(2057) + 3 - (sqrt(1088) - (-2 + sqrt(1088))*5)**2.\nAnswer: 1008 + 651*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - -10 - (1 + -4 + -3).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 230075.5 - -0.4.\nAnswer: 230075.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5*(-9)\/(-18)*(-4)\/(0 - -2). What is the fourth biggest value in 2\/13, 0, -2, -2\/5, b?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00833 rounded to 4 dps?\nAnswer: -0.0083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -7*m**2 - 15*m - 1. Let y(b) = 10*b**2 + 22*b + 2. Let x(o) = 7*p(o) + 5*y(o). Let s be x(-5). Let t(r) = r + 3073 + 0*r - 3079. Calculate t(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 655.5.\nAnswer: -1311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(84\/(-40))*24\/(-40).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2644703*t**2 - 3641295*t?\nAnswer: 5289406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 90 = -6*x. What is the tens digit of ((-699)\/x + (-4)\/(-10))*2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2958169112 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 6, t: 6, g: 2, l: 3, f: 2}. What is prob of picking 1 f, 1 g, and 1 l?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) - (2*sqrt(100))\/sqrt(5))\/(-2*sqrt(160))*-1.\nAnswer: -sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -163*m**2 + 14*m + 77. Let u(g) = -61*g**2 + 5*g + 25. Let t(o) = -3*j(o) + 8*u(o). Give t(10).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 336 and 1608.\nAnswer: 22512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 12:02 AM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 100100?\nAnswer: 11111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**4 - 6412*u**3 - 38534*u**2 - 32120*u.\nAnswer: 2*u*(u - 3212)*(u + 1)*(u + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -74 - -83. Suppose 152 + 1261 = v*o. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (77 - 93) + 12 - (2 - -118)?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of 184*p**5\/5 - p**4\/4 - 483*p**2 - 1173. What is the second derivative of w(d) wrt d?\nAnswer: 2208*d**2 - 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1800)*-1*-2)\/((sqrt(90) - ((sqrt(90) + 2*sqrt(90))*-3 + sqrt(90)))\/sqrt(10)*5).\nAnswer: -8*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -16 + 2 + (-1 - -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 - -19.85. Let w = c + -0.85. Let r = 219\/5 - 1951\/45. What is the second biggest value in w, -2\/69, r?\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12 + 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 3*p**2 + 9*p**2 + 299 - 5*p - 293 - 6*p**2 + 2*p**2. Let v(i) = -3*i**2 + 2*i - 2. Give -11*v(u) - 4*x(u).\nAnswer: u**2 - 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9414 + -9413.0422. Let f = j + -0.94. What is f rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (101709979\/(-14))\/1 + (1 - (-5)\/(-2)). What is r rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -109015473 - -228495473. What is s rounded to the nearest 1000000?\nAnswer: 119000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 - 2)*(-1 + 5 - 2)*(2*b - 6*b + 3*b).\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.05 + 0.15. Let z = -219\/4 - -55. Let g = 3.208 + -3.168. What is the nearest to z in g, x, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20120 - 1?\nAnswer: 20112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 66555.57 meters?\nAnswer: 6655557","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 41 + -39. Suppose -3*d + 2*d - 25 = 0. Let c be (20\/d)\/(4\/(-10)). Solve -c*y + a = -4*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 205039*o**3 + 3*o**2 + o - 3. Let l be a(1). Round l to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 8. Let z be 9\/8 + 1 - 2. Let t = 4.17 + -3.97. Which is the nearest to -1? (a) t (b) z (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 9, b: 1, z: 1}. What is prob of sequence zn?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 9.317082 months?\nAnswer: 0.07764235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 381938475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 32822, 60356, 87892, 115430, 142970?\n\"Answer: i**2 + 27531*i + 5290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 5 + (-3 - (10 - 0 - 20)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 + p**2 + 1. Let j = -11824 - -11818. Let g(x) = -8*x**3 - 6*x**2 - 14. What is j*l(c) - g(c)?\nAnswer: 2*c**3 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 - 4. Suppose 4*l - 2*r = 18, n = -r - r. Suppose 76*d + 360 = 96*d. Calculate the least common multiple of l and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqsmqqsmsq. What is prob of sequence sms?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (-17 - (-5 - 7)) - 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -5*g - 1. Let b(l) = -l**3 - l. Let v be b(-1). Suppose 15 = v*z - 5*z. Let u(s) = -4*s - 1. Determine z*i(q) + 6*u(q).\nAnswer: q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 430319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - 4)*1 + 2\/26. Which is smaller: 0 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7322 to the power of 1\/2, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*r**3 + r**4 + 4*r**3)*(-1 + 0 + 0 - 1 - 2 + 2 + (0 - 3 + 2)*(-4 + 1 + 1) + 6 - 2 - 2) in the form z*r**3 + q*r**2 + d*r + f + u*r**4 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express a**3 + 2*a**3 - 1 - 6*a**3 - 1 - a in the form u*a + l*a**2 + o*a**3 + k and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -1934*v - 11594. Let o be g(-6). Solve -17*p = -o*p + 28 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 - 11*d - 23. Let v be f(-8). Suppose -13*k = -12*k - v. Calculate the remainder when (-96)\/10*k*-10 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -178\/5572267?\nAnswer: -178\/5572267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 5*f = 3*m + 10, -5*m - 14 = -4*f. Let j(q) = -3*q + 7*q + q - 5*q + 2*q. Let h(u) = u. What is m*j(z) + 13*h(z)?\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/3*1)\/(-6)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 50 + -5439?\nAnswer: -5389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 125*q**4 + 17*q**3 + 353*q**2 - 10740441?\nAnswer: 500*q**3 + 51*q**2 + 706*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + 1\/(-2))\/((-8)\/(-64)). Solve 5*i + 4*k = 24 + 6, -g*k + 20 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(85\/3) + (-13)\/((-884)\/124)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.15 + -0.85. Which is the third smallest value? (a) q (b) -0.3 (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 1:12 PM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*f + 10*f + 45*f - 4 - 3 + 7.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 55447.649689 + 0.1\nAnswer: 55447.749689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 597840 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7\/8 of a gram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**3\/7 + 636*s**2\/7 - 4*s\/7 - 636\/7.\nAnswer: 4*(s - 1)*(s + 1)*(s + 159)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 538 divide 3214012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.6708153 - -0.6718. Round b to four decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1264129 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138 = 7*z - 1255. Suppose -5*p + 4*a + 415 = 0, 3*p = 6*p - 4*a - 241. Let f = z + p. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-4)*v*v*v**10)\/((v\/(v*v**3))\/v)**(2\/5))**34 assuming v is positive.\nAnswer: v**(1632\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223 is divided by 21.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -714\/23?\nAnswer: -714\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 968 (base 16) to base 6\nAnswer: 15052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 8:01 AM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 4:57 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 96974497 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 36 = -4*i, i - 5199 = -15*d - 5129 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.377721537 - -5.\nAnswer: 10.377721537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*u = -242 - 323 - 535 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4199 and 28067?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 4*t**3 - 26*t + 6 + 26 - 18*t**2 + 5*t**2 - 3*t**3. Let f be o(16). What is the greatest common divisor of f and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3247115 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y + 11. Let x = 1 - -8. Suppose 0*i = i - x. Suppose i*p - 3*p = 0. Give r(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 PM and 10:15 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -82, 5, -3, 1, -32, 37.\nAnswer: -82, -32, -5, -3, 1, 5, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 2:43 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22290136 is divided by 96?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1334, 2653, 3968, 5279, 6586?\nAnswer: 7889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 9:41 AM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qjkk when four letters picked without replacement from sqksqjshskssqhhqhhhs.\nAnswer: 1\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y**3 + 12*y**2 + 2. Let q be n(6). Suppose q*r = 2*w + 4, -4 = 2*r - 5*w - 5. Factor 2*k**2 + 2\/3*k**r - 16\/3 - 4*k.\nAnswer: 2*(k - 2)*(k + 1)*(k + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i - 1 + 1)*(3 + i - 3) + (5*i - 6*i + 3*i)*(-20 - 10*i + 20).\nAnswer: -22*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in sixteen fifteenths of a decade?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/4*((2 - -3) + -4). Is 1\/2 >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 43*f - 1. Give k(1).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 5:37 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1314 a factor of 1823832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (8 + -4 - -1)) + -66 + 10 + 15?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of -3*y**6\/5 + y**4\/12 + 53*y**3\/6 - y + 3. What is the second derivative of p(s) wrt s?\nAnswer: -216*s**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*v - 160 + 260 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3*i**3 - i. Let y(o) = 4*o**3 + 2*o**2 - 2*o + 1. Let s be y(1). Suppose 9*n - 4*n + s = 0. Determine q(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 10*y**2 + 13*y - 6. Let o be w(-12). Let j(i) = -17*i + 1. Let v be j(-1). What is the greatest common factor of o and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (92 - 92 - 17*i**2)*(-6*i**3 + 5*i**3 + 6*i**3 + (-i**2 + 4 - 4)*(2*i - 1 + 1)).\nAnswer: -51*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 9299, 9304, 9311, 9320?\n\"Answer: h**2 + 2*h + 9296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 3*s**2 - 2*s + 1. Let g be r(-3). Let z = g - 22. Calculate the greatest common factor of z and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15.4 - 7.2. Let o = v - -27. Let x = 4.9 - o. Which is the third smallest value? (a) 0 (b) -2\/11 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from smbbeebb?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 252309 is divided by 362?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**3 - 1358*a**2 + 37211*a + 38570 = 0 for a.\nAnswer: -1, 29, 1330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y + 5. What is the tens digit of w(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39083431 is divided by 111?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0779 - -0.0775556. What is x rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i**4\/4 + 177*i**3\/4 + 1293*i**2 + 3128*i - 36096 = 0. What is i?\nAnswer: -141, -32, -8, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4983, 39747, 134085, 317781, 620619, 1072383, 1702857, 2541825?\nAnswer: 3619071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9155 = 398*h - 55*h - 4222 for h.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6191 = -42*t + 80195. List the prime factors of t.\nAnswer: 2, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 122 - 57. Let g = b - 26. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1167744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 4810 and 4809 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64780?\nAnswer: 2, 5, 41, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -5*o + 4*o - 454 + 455 - o + o. Suppose 4 = 8*a - 10*a. Calculate z(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 191 = 4*h, 3*y + h + 104 = -5. Let f = y - -53. Does 9 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -25 in 3\/8, -2, 14, 0.05, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 2\/67641 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pv when two letters picked without replacement from {g: 1, p: 1, k: 2, v: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44273*a**2 + 44273*a**2 - 161*a**3.\nAnswer: -161*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 4*k - 6698, 62*k - 3350 = 60*k - 2*g. List the prime factors of k.\nAnswer: 7, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*n = -61*n + 2*l + 378, 5*n = 3*l + 372. Do n and 84 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 3*z - 4, -2*z + 16 = -12*w + 14*w. What is the third smallest value in 0, -0.3, -1\/24, -0.5, w?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of 1\/3*b**3 + 54 - 4*b - 3*b**2. Determine r(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5835, 5836, 5837?\nAnswer: 5838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -92867, 70\/13, 2\/3, 0.\nAnswer: -92867, 0, 2\/3, 70\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 156905?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 624\/(-8) + 3\/((-6)\/(-2)). Let j be 14\/s + (-268)\/(-22) + -1. Calculate the highest common divisor of 11 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 9:37 AM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/8 of a millimeter?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/21051, -5, 5, 1\/3, 1\/5.\nAnswer: -5, 1\/21051, 1\/5, 1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -3, -11, 117 in decreasing order.\nAnswer: 117, 3, -3, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 3*a = -3*v - 12, 5*a + v + 20 = 0. Let r be (77\/14 + -8)*(-24)\/20. Let q(p) = -p**r - 1109*p - p**2 + 553*p + 1 + 559*p. Give q(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 19, 21, 23, 25?\n\"Answer: 2*v + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1719582133 - -1719582106.99999982. Let v = 26 + l. Round v to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express l**2 + l**3 + 3573*l + 3557*l - 7127*l - 91 as h*l + k*l**2 + s*l**3 + o and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 1)*((-1 + 2 - 4)*(42*y - 20*y - 32*y) + (2 + 2 - 6)*(-7 - y + 7) + 0*y + 0*y - y).\nAnswer: -31*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 5*s = m - 65, 15 = 5*m + 5*s. Suppose -m*z - 3689 = -15*z. List the prime factors of z.\nAnswer: 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j**3 + 10 - 11 - j**2 - 4*j**3. Let d be y(0). Which is smaller: -2\/11 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3666 - 6607 = 671*t + 14505 for t.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1711556 is divided by 1529.\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((11\/33)\/((-44)\/(-6)))\/(3\/(-24))?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2317959 is divided by 7223?\nAnswer: 6599","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162*p = 331942 + 1039550. Is 17 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -164510 + 164510 - 97*c**3 + (3*c**2 + 0 + 0)*(c - 2*c + 2*c) - 2*c**3 - 3 + 3.\nAnswer: -96*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.8, 0.1518, 0.2, -2\/9, -3\/287, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 11 - 7 + 4*k**2 + 0.\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4300 and 20.\nAnswer: 4300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, -10841, 1, -5 in decreasing order.\nAnswer: 3, 1, -1, -5, -10841","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**2 + 3*j - 2. Let t be s(-5). Suppose 0*l - 3*l + t = 0. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yh when two letters picked without replacement from yvyvvvvvhyvyyvyvyvv?\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 16 = 6*q. Suppose -5*h + 26 = -7*v + q*v, 0 = -3*v - 2*h + 2. Suppose -2 = -3*a - 5. Is a > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 143, 0, -2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - 4 - (-2 + -7 + 5 - 7).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.012602 to 4 dps.\nAnswer: 0.0126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -145*k*r*s - 2*k*r - 417*k + 2*r*s - s with respect to r.\nAnswer: -145*k*s - 2*k + 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 2 s, and 1 o when four letters picked without replacement from {d: 1, s: 4, h: 1, o: 1, z: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 71*l**2 + 65*l + 44. What is the units digit of z(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000057201 to seven dps.\nAnswer: 0.0000572","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 10*i**2 - 12*i - 9. Let m(h) = -2*h. Let p(q) = 5*q. Let g(b) = 10*m(b) + 6*p(b). Let t be g(-1). Is y(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j**2 - 5*j + 2. Let m(s) = 3*s**3 - s**2 + 18*s + 6. Calculate -3*d(h) - m(h).\nAnswer: -3*h**3 + 7*h**2 - 3*h - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-6))\/((-28)\/210). Suppose g + 49 = 3*s. Suppose -6*r + s = 42. Let y(m) = m**2 + 6*m - 1. What is y(r)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out -4.38668 - -21258.\nAnswer: 21253.61332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 2*c**2 + c - 5. Let d be z(5). Let x = -28 - d. What are the prime factors of x?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 510 and 510 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away 18285?\nAnswer: -18286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a. Let i(w) be the second derivative of 17*w**5\/120 - 3*w**3 + w**2 - 4*w - 9. Let m(l) be the second derivative of i(l). Determine m(x(s)).\nAnswer: 34*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43\/(8729\/174)*(-7)\/5*(-70)\/6.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1151967 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in -347, -5, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r + 4*x + 213 - 188, 2*r + x + 9 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1620) - (2*sqrt(1620) - sqrt(1620)))*1)\/(-1*sqrt(1296) - sqrt(1296) - sqrt(1296) - sqrt(9)*2*3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16351 and 394.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -l + 145*l**3 - 74*l**3 - 75*l**3 - 1 + (-27 + 27 - 8*l)*(4*l - 4*l + l**2) as g + c*l**2 + k*l + y*l**3 and give y.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, 11, 3, -5 in descending order.\nAnswer: 11, 3, -2\/15, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 110671470 a multiple of 195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -12.3. Let w = 1.5248 + -1.5648. Sort -4, j, w.\nAnswer: -4, w, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (94\/3)\/((-2)\/(-9)). Let w = 1832\/13 - p. Suppose 4*r - l + 3 = 4, 0 = 3*r - 5*l - 22. Are w and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1907\/5 - -13119\/35. Which is greater: -6 or x?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 477 - 4*n**2 - 673 - 1316*n - 106 - 1010 = 0. Calculate n.\nAnswer: -328, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -595 + 651 + -1 + -31.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 3:19 AM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26\/9 or -25\/3?\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 79*w - 137. Let o be j(20). Which is smaller: 1447 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 2420.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -135 + 138. Suppose 20 = 3*p - 22. Solve 5*w - 2*w - 6 = -v*i, 5*w - p = -i for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -2399310.71.\nAnswer: -1199655.355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, h: 1, d: 1, j: 6, b: 1}. What is prob of sequence uj?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1611 less than -1611?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -25*j**2 - 67. Calculate v(0).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -319, -427, -603, -847?\n\"Answer: -34*b**2 - 6*b - 279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*n - 5 = -83*n + 5*v, -v = -4*n + 1 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 times 765?\nAnswer: 21420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 2\/7 (c) -392 (d) -1\/104\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 44971.8 rounded to the nearest one hundred?\nAnswer: 45000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 32?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 36*g**2. Let r(n) be the first derivative of -7 + 0*n**2 + 0*n + 2\/3*n**3. Determine a(r(o)).\nAnswer: 144*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 - 27 + 56)*(2 - 3 + 3)*(-5*l + l + 2*l).\nAnswer: -12*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 452.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4 = 2*p + 2*j, 3*j + 4 = p. Let x = -1753 - -1739. Is p\/x - (-2124)\/84 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*2*18\/9. Suppose -20 = -2*u - 4*k, 5*u = k - 1 + 7. Solve 5*r + 2*w + 3 = 0, u*r + w = c - 5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1197 = 8*n + 13*n. What is the highest common factor of 304 and n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -13.9 and 38.\nAnswer: 24.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - -51?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/24 and 19\/197648?\nAnswer: 592944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -126 - -125. Which is smaller: -2\/31 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -344.4877 to 1 dp.\nAnswer: -344.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 244 and 1164.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -16, -1, -289 in descending order.\nAnswer: -1, -4, -16, -289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 46293, 46309, 46327, 46347?\n\"Answer: m**2 + 13*m + 46279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -193*n + 596. What is a(3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 16 - 6 - 4 - (-82 - (-51 + 58))\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -107373332 by -9761212.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n - 109 = -159. Solve x + 4*x + 5*r + n = 0, -2 = 2*x - 4*r for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (11\/7)\/(102\/(-21) - -5). Suppose -5*f + 1216 = g*f. What is the greatest common divisor of 114 and f?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*x + 14*x + 30 = 4*x for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of g**4\/6 + 17*g**3\/6 - 4*g**2. Let f be q(-3). Solve 4*w**f - 10*w**2 + 3*w**3 + 2*w**2 + 10*w**2 - 5*w**5 = 0 for w.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.2, -3\/5, -4, -2\/7 in ascending order.\nAnswer: -4, -3\/5, -2\/7, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dbbdbrbadfbbirdrd. What is prob of sequence rd?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3400)\/(-40) + 3636\/(-36).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.025 and 43.90964471.\nAnswer: 43.93464471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5500686 is divided by 1071?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -402 - -419. What is the third smallest value in -5, -3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.299 - -5.298409. Round l to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of -f**4\/12 + f**3\/2 - 2*f**2. Let t be i(3). Let j be -4 - (-3 + (2 - -2)). Put j, -2, t in descending order.\nAnswer: -2, t, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136*i**2 - 181*i**2 + 290*i**2.\nAnswer: -27*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-7) - 46\/(-14). Suppose 2*s - 2 = c*s - v, 3*s + 2*v = -11. Sort -5, s, -2 in ascending order.\nAnswer: -5, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**2 - 4*w**2 - 5*w**2 + w + 18*w**2. Give p(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 12*i - 7. Determine o(-3).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 212*a - 104*a + 4*a**2 - 109*a - 13. Let q be r(-3). Solve q = -4*c + 22 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1484798561 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*m + 21*m**3 + 11*m + 21*m + 2*m**3.\nAnswer: 23*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) - (sqrt(209) - (sqrt(209)*-1 - sqrt(209)))*5) + (sqrt(209)*1 + sqrt(209) - sqrt(209))*-2)\/((2*(sqrt(66)*-2 - sqrt(66)))\/(3*sqrt(6)*1)).\nAnswer: 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187*t = 186*t - 4, -2*p - 22 = 2*t for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -464, -490, -86, 748, 2012?\nAnswer: 3706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i - 5. Let r be a(-4). Solve j - 5 = f, -r*j = 2*f + j - 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6128614955 take away 0.03?\nAnswer: -6128614955.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(245) + 2 + 3 + (sqrt(245)*2)**2.\nAnswer: -14*sqrt(5) + 985","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 3*y = 27, -4*n + 2*n + 28 = -3*y. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 - -0.3. Suppose 11*s + 219 = 43. What is the nearest to 1 in 1, p, s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -4*t**2 + 19332*t = 0.\nAnswer: 0, 4833","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 6 = 3*f, -5*m = 2*f + 189 - 185 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 210293 and 3277.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**3 + 3*q**5 - q**3)*(3 + 2 - 3) + q**5 + 0*q**5 + 2*q**5 + (-2 + 1 + 4)*(4*q**5 - q**5 - q**5).\nAnswer: 15*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 726036 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/2 - 256555*x**2\/2 - 1026233*x\/2 - 769677\/2.\nAnswer: (x - 256559)*(x + 1)*(x + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1442057, -5768241, -12978549, -23072981, -36051537, -51914217?\nAnswer: -70661021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3077105 divided by 3\nAnswer: -3077105\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -2 - 4 - -7) + -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*l**2 + 94*l**2 - 4 - 42*l**2 + 13*l**3.\nAnswer: 13*l**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 + 25*k - 26. Let i be h(-26). Suppose i = 5*s + 3*g - 293 - 294, -349 = -3*s - g. Is 9 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 301 + -121414?\nAnswer: -121113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7629743200 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20561 - 20558. Solve -p*b - 1 = 65*r - 67*r, 5*r = -4*b - 32 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -5*c + 5. Let k be (49\/(-21))\/(c\/(-3)). Suppose 0 = 3*i - 23 - k. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-204)\/(-357) + 5\/(70\/(-64)). Sort -19, -3, 0, b in increasing order.\nAnswer: -19, b, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 - 15*g + 4. Let h be b(-7). Suppose h = 2*n - r, r + 37 = n + 4*r. Let m(i) = 4*i. What is the remainder when n is divided by m(4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-13)*-1*5\/5.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38566, -38567, -38558, -38533, -38486?\nAnswer: -38411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -172*s**3 - s**2 + s - 3. Suppose -2*x - 2*i = -4, -2*i = -x - 0*x + 2. Let b be n(x). What is b rounded to the nearest one hundred?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*u - 263 + 109 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3307, 3337, 3393, 3481, 3607, 3777, 3997?\n\"Answer: k**3 + 7*k**2 + 2*k + 3297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -865 + 816. Let b be (-1)\/7 - 203\/v. Solve 0*l = 5*f + 4*l - 18, -l + b = f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2. Let x(s) be the second derivative of 17*s + 0*s**2 + 0 + 0*s**3 - 1\/12*s**4. Determine x(t(q)).\nAnswer: -q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1684792\/31 or 54349?\nAnswer: 54349","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -3. Let a be -3*1 - -2 - (-2 - 1). Solve z*y = a*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + t - 698237, 4*t + 245 - 232976 = -m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21405 and 14880.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (20 + -16)\/(2\/40). Let l be 1888\/v + (-6)\/(-15). Let f be -2 - (1 - (0 - -19)). Calculate the highest common factor of l and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, j: 13, m: 3}. What is prob of sequence jm?\nAnswer: 13\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104798.\nAnswer: 2, 61, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.77 + 0.77. Which is the nearest to v? (a) -5 (b) 2\/9 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z**2 + 2*z - 1. Let u(c) = -4*c - c - 401923*c**2 + 2 + 401928*c**2. What is -9*p(i) - 4*u(i)?\nAnswer: -2*i**2 + 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 8, a: 2}. What is prob of sequence ccc?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 868736?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -84.6 + 85. Which is the nearest to -0.1? (a) 2\/7 (b) n (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -151 - -449\/3. Which is the closest to 2? (a) -2\/9 (b) r (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2620 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-1 + 3)*-4. Suppose 0*d + 12 = p*d. What is the common denominator of (-5)\/2 + d + -20 and 29\/22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 384183802?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*a**5 - 10*a - 2*a**5 + 8*a wrt a?\nAnswer: -100*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 2*x)*(-398 - 105 + 19)*(1 + 2 + 0) in the form i*x + g and give i.\nAnswer: -2904","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 285 - 267. What is the lowest common multiple of k and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of r**5\/4 + r**4\/6 + 11*r - 1. Let m(k) be the first derivative of o(k). What is the third derivative of m(n) wrt n?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 732439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7568?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7956 = 7*x - 1550. Let l = x - 939. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaarrr. Give prob of sequence rrra.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 10:53 AM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -20*72\/(-240) - (1 - -2). Solve 23 = -5*w - y*d, -w + 2 = -2*w + 2*d for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -3. Suppose 0 = i - n*i + 12. Let f = 5 - i. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -196\/317 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6760)\/(-1430) - 12\/(-44).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -u**4 - 159*u - 1888 wrt u?\nAnswer: -4*u**3 - 159","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 341448 to the power of 1\/3, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/136 or -1.65?\nAnswer: -3\/136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1\/3 (b) -39 (c) 10267 (d) -5 (e) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 773927789?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -227*i + 169*i + 1073 = 410*i + 48341 for i.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 39606491513 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 76.2 - 95. Let x = 0.2 - m. Let k = -18.999952 + x. What is k rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168)*2)\/sqrt(12))\/(sqrt(16)\/sqrt(2)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -44 - 131014341?\nAnswer: -131014425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r**2 - 160*r + 251. Calculate the remainder when j(-79) is divided by 30.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5\/3)\/(303\/36 - (54 + -46)). Solve 0 = 3*s - 17 - y for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + j - 4*j)*(-4*j + 0*j + 2*j)*(-j - 2*j + 4*j)*(-4*j**2 + j**2 + 5*j**2).\nAnswer: 24*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.5 + -2. Let n = z - -0.2. What is the third biggest value in -0.1, -9, n?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27153 = -32*v + 29*v - 3*d, -5*v = 6*d - 45248. Calculate the remainder when v is divided by 3018.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -809*s - 6492. What is o(-8)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1208582634*f**2 + 43*f - 19334 wrt f.\nAnswer: 2417165268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1583850461 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 5*m**3 - 94*m**2 - 405*m - 755. Let j(f) = -f**3 + 19*f**2 + 73*f + 151. Let w(p) = -11*j(p) - 2*o(p). Give w(21).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11596*g - 3*g**2 - 11596*g.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5031 and 17329.\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088) + -1)*-2 + -4.\nAnswer: -16*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 9*h**2 + 40*h. Let a(k) = 23 - 50 + 40*k + 27 + 8*k**2. Let g(o) = -6*a(o) + 5*b(o). Find the second derivative of g(n) wrt n.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 978743.\nAnswer: 978743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 652*x. Let y(m) = 434*m. Let a(c) = 2*q(c) - 3*y(c). Let i(p) = p**2 - p. Let r(s) = -4*s**2 + s - 2. Let b(j) = -i(j) - r(j). Determine b(a(v)).\nAnswer: 12*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4062 + -4062.0015354. Round i to 4 decimal places.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8\/5 (b) -0.04152 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -64440 + -455?\nAnswer: -64895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4*x**2 + 5*x + 6. Let w be f(-4). Suppose 6 = 2*m - w. What is the remainder when m is divided by 2 - (4 - 2)*-4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28358 - -30635. List the prime factors of c.\nAnswer: 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212 = 73*n - 4*a, -87 = -n - 3*a - 25 + 2 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - 2*(-1)\/2. Let h be (3 + -2 + -7)\/(-2). Suppose -1 = s - d - 2, -h*s = -d - 9. Sort 5, m, s in decreasing order.\nAnswer: 5, s, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10 + -11?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 128839883 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 g, and 2 a when four letters picked without replacement from aaagjaaaagj.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 108749503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/68 and 22\/89641.\nAnswer: 358564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(114)\/sqrt(6) - sqrt(19)) - sqrt(19) - (sqrt(57)\/sqrt(3)*-4 - sqrt(19))) + (sqrt(2736) + (sqrt(2736)*1*-2)**2 - -5*(0 + sqrt(2736))).\nAnswer: 76*sqrt(19) + 10944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13.5 - 13.9. What is the nearest to 0.1 in -4, i, 5\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-3 - (-17 + 10 - 3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of -w**4\/12 + 3*w**2\/2 + 5*w. Let d(z) = -z**2 + 1. Suppose -4*h = 4*u + 24, 8 + 20 = -3*h - 5*u. Determine h*y(g) + 3*d(g).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.045068 - -0.05524. What is b rounded to three decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/11964 and -57\/775666.\nAnswer: 4653996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -22. List the prime factors of (6\/(-4))\/((-1)\/z).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27653.\nAnswer: 27653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 364 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 510?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1302 divided by 31\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/27 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14714*s + 13681.\nAnswer: -14714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2)\/(-5) + 37\/4 + -8 and -119\/60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22767.19222 - -22768. Let z = g + -0.816. What is z rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -4 (b) -2\/3 (c) 57 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -72*r - 179. Is k(-23) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -310, 218, 746?\n\"Answer: 528*y - 838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 11110011110000011111?\nAnswer: -11110011110000011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of 392*c**4 + 532*c**3 + 1083*c**2\/4 + 23*c + 38. Suppose s(k) = 0. Calculate k.\nAnswer: -19\/56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 164421?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 229198 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: Let c = -9 + 19. Suppose -u - c = -33. List the prime factors of u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50294096 a multiple of 135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Convert 2530242 (base 6) to base 11.\nAnswer: 93349","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.6 + -0.1. Let a = 1.51 + 0.09. Let v = -2 + a. What is the closest to 1 in v, y, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 322222003 (base 4) to base 10.\nAnswer: 240259","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4664\/1235 + -70\/19. Calculate the common denominator of -57\/10 and d.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 5:56 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-8)*(-1320)\/(-231)*7?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -r - 0*h + 5*h, 4*h = 12. Calculate the remainder when r is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, o: 9}. What is prob of sequence aoaa?\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -9*r + 220. Let k be p(20). What is the greatest common divisor of k and 500?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**3*q)**43)**(17\/2) assuming q is positive.\nAnswer: q**1462","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/21, 14\/577, -2\/11 in decreasing order.\nAnswer: 2\/21, 14\/577, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 5, -2, 0, 1460, 11.\nAnswer: -5, -2, 0, 2, 5, 11, 1460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 4 (b) -3\/7 (c) -1\/8 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-330)\/(-200) - 8\/20. Which is the smallest value? (a) 2\/3 (b) -3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (228\/190)\/(6\/640). Suppose -b - 72 = -2*b. Calculate the highest common divisor of b and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -154 from 1067.\nAnswer: 1221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (9\/3 - -1) + -2452. Let z = q - -14737\/6. Calculate the common denominator of -21\/17 and z.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 14*j**3 + 2*j**2 - 18*j - 49. What is c(-3)?\nAnswer: -355","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 85 (b) -0.1 (c) -3\/2 (d) 0.087 (e) -5 (f) 0.05 (g) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 386\/1173 - -5\/1173. What is the third smallest value in 4\/3, k, 523?\nAnswer: 523","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of 3337*x**8\/168 + 316*x**5\/3 + 8713*x**2. What is the third derivative of r(h) wrt h?\nAnswer: 400440*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 82, -212, -840, -1802, -3098, -4728, -6692?\nAnswer: -8990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -162 + -256. Let k = v + 1010. Let f = k + -645.2. What is f rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66265 (base 8) in base 16?\nAnswer: -6cb5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -j - 45225, 4*g - 36196 = -128*j + 132*j. What are the prime factors of g?\nAnswer: 2, 7, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21097*k**2 - 10551*k**2 - 683*k - 2 - 10541*k**2 to o*k + d + j*k**2 and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*h = -49*h + 16*h + 3999 for h.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -39? (a) 0.6 (b) -1 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 12 - 538aaa?\nAnswer: -538a98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.2 (b) -1.1 (c) 2\/7 (d) 4 (e) -337 (f) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*c**4 - 3*c**2 + 53 + 5*c - 26 - 5*c - 24 as x*c**4 + i*c + o*c**3 + n*c**2 + k and give x.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 0.1209 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 2*g**2\/9 + 10312*g\/3 + 12493990\/9 = 0.\nAnswer: -15053, -415","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2793, 22809, 77143, 182955, 357405, 617653, 980859, 1464183?\n\"Answer: 2860*g**3 - g**2 - g - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/398 <= -8849?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -0.0312?\nAnswer: -0.00936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - 2. Let u = -1 - y. Solve p + u = -p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -0.1. Let f = y - 0. Let p = -0.41 - -0.01. Sort p, -2\/15, f in decreasing order.\nAnswer: f, -2\/15, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2900 + -2872. Calculate the highest common divisor of 133 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -535737 (base 8) in base 5?\nAnswer: -21213132","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 39 + -35. Solve -n = -0*n, n = -4*g + b for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -442 - -469. What is the greatest common divisor of w and 351?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 2460576764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - -1. Let w(j) = -2*j**3 + j**3 + 2*j**3 + 3*j**2 + 3*j - 2*j**b. What is w(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/21 and 38\/63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -52686, -59025, -65364?\n\"Answer: -6339*x - 46347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of o**4\/6 + o**3\/2 + 3*o**2\/2 - 9*o. Let j be d(-3). Is (-14163)\/(-18) - (-2)\/j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5744180 divided by -1.\nAnswer: 5744180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9.46 + -9.4. What is the second smallest value in 0.4, -3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1456 and 1232.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-63)\/630 + (-2 - (-1821)\/10). What is the second derivative of 3*v**3 - a*v**4 - 16*v - 10 + 90*v**4 - 3*v**3 wrt v?\nAnswer: -1080*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 190*u. Let i = -23 + 24. Let t be k(i). Suppose 3*s - 68 - t = 0. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11861 a multiple of 409?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*s - w = 8, 4*s + 52*w - 57*w + 6 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -318*z - 2800 = -22*z - 7832. Solve b = 4*h + 17, -h + 3*b + z = 7*b for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p\/(p\/(((p*p**(-4))\/p)\/p)))\/p)\/p**(-3\/2))\/(p\/((p\/p**(1\/3)*p)\/p*p*p*p)*p**(-2)) assuming p is positive.\nAnswer: p**(7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -14) + -23 + -4 + 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 18\/20 + (-2)\/5. Let n(d) = -5*d + 109. Let r be n(22). Suppose 10*s + 3*p = 6*s + 23, s - 2*p = 3. Which is the closest to r? (a) u (b) s (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r + 3. Let i(q) = -9*q + 9. Suppose 0*b + 2*b - 3 = 3*x, -b - 2 = -5*x. Let y be i(x). Give p(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + 23*w - 81. Let l be p(18). Suppose 498 - 93 = 15*y. Calculate the highest common divisor of y and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5998*f**2 - 353*f**3 + 5998*f**2 + (2*f - 3 + 3)*(-2 + 2 - f**2).\nAnswer: -355*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5 and -3415.24?\nAnswer: 3410.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 641 + -638. Calculate the remainder when 10 is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-109*(-309)\/112270)\/((-54)\/10).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n**3 + 6 - 11 + 5.\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 156368363 to the nearest integer?\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -6411.65 + 5\nAnswer: -6406.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**2 + 10*x - 2. Let d(z) = -2*z**2 - 13*z + 3. Let f(p) = -3*d(p) - 4*i(p). Determine f(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26587 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2144 is divided by 74.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - 4*v + 41. Is h(18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -35, 4, 0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 12:42 AM?\nAnswer: 6:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10187878 or 10187877?\nAnswer: 10187878","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -325 + 241 = 14*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 + 3*m + 48. Suppose 2*d - o + 4 + 3 = 0, 0 = -3*d + 2*o - 8. Let x be h(d). Let v be (-4 + 0)\/(6\/x). Solve -3*j = -v*j - 5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34397779441 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - 8*p**2 - 2*p + 7. Let d(l) = -l**2 + 1. Let r(m) = -35*d(m) + 5*k(m). Solve r(q) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - 125790877.\nAnswer: -125790884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*t**4 + 3215*t**3 - 172805*t**2 + 57245*t.\nAnswer: -5*t*(t - 107)**2*(3*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/3)\/((-78)\/117).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-7))\/z**(-8)*z\/(((z*z**(3\/8)\/z)\/z)\/z)*z\/z**(-8)*z assuming z is positive.\nAnswer: z**(229\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.3 - 0.3. Which is the smallest value? (a) -0.2 (b) 4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 377\/(-522)*3\/((-156)\/16)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2328 and 32?\nAnswer: 9312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12673086.\nAnswer: 2, 3, 1063, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.02 - -0.05. Let d = 9.33 + -8.8. Let a = d - 0.53. Which is greater: k or a?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/16)\/((-184)\/32))\/((-1)\/4).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 PM and 10:23 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.3 + -2. Suppose -s = 0, x = 4*s - 3 + 2. Let d = -3 + 2.8. What is the nearest to x in 2\/17, d, v?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, j: 1, t: 3, i: 3, k: 3, u: 3}. What is prob of picking 1 x and 1 j?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of 0*v + 2*v**2 + 1\/12*v**4 + 0 + 0*v**3. Let y(u) = 2*u**2 - 6*u**2 + u**2. Determine y(z(x)).\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4487*g + 3266*g - 67155 = 0 for g.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -8*p + 14. Let t(g) = g - 1. Let m(w) = -14*t(w) - 2*u(w). Let b be m(8). Suppose b*k = -9 + 35. What is the remainder when 36 is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 0 + (2\/(1300\/(-565)))\/(-2) and 31\/14.\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 32\/5 of a meter?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 33e2 (base 16) to base 10\nAnswer: 13282","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-250)\/(-15)*(-237)\/395.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 7248 * 6703\nAnswer: 48583344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1704808.446 rounded to the nearest 10000?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(153\/((-4590)\/24)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = -5*v - s, -3*s = 10*v - 6*v - 60. Calculate the greatest common factor of v and 204.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -414073 + 414073 + 15*a.\nAnswer: 15*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11049?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ozpooozwwoofw. What is prob of picking 1 o and 2 w?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -454*c + 403*c = 969 for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*i + 1624 = 52*i for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3850693, 3850698, 3850703?\nAnswer: 3850708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-469)\/67*28*(2\/16)\/((-3)\/(-6))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 39*g**3*o*v**5 + g**3*o*v - 3*g**3*o + 2*g**3*v**2 + 5*g*v + 2*v wrt v?\nAnswer: 780*g**3*o*v**3 + 4*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -182, 5 in increasing order.\nAnswer: -182, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 43*h + 1152. Calculate the smallest common multiple of h and 150.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 317.18 + 162.01. Let g = -477 + y. Let b = g - 0.04. What is b rounded to 1 dp?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 18, -1\/4, 13?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2192160 times 5?\nAnswer: 10960800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 425, 1878, 4283, 7634, 11925?\nAnswer: 17150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -86.3087283 and 4?\nAnswer: 90.3087283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + -1. Let m(g) = 4*g - 46. Let t be m(22). Let u be (16\/t)\/4*(-6 + 9). Sort b, -3, u.\nAnswer: b, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 19*n**2 - 20*n + 4. Let q be v(20). Which is smaller: 27\/10 or q?\nAnswer: 27\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 45 = 5*t, -3*t = 12*q + 9*q - 20*q + 23 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k + 1. Let v(u) = -5*u - 6. Let a(x) = -6*h(x) - v(x). Let g(l) be the second derivative of 0*l**2 + 0 - 4\/3*l**3 - 35*l. What is a(g(y))?\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4865 and 105?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + s + 1. Let q be g(1). Let x be -2*q*(-1 + -1). Suppose -16 = -2*w - y - y, 0 = -w + 2*y + 2. Calculate the highest common factor of w and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -3. Let y = -244115 + 244110. Sort 3, z, 2, y in increasing order.\nAnswer: y, 2, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 2.4. Round d to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of y**8\/10080 + y**7\/5040 - y**6\/120 - y**5\/5 - 33*y**2. Let u(w) be the third derivative of n(w). Determine u(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*k + 4*k**2 - 3*k**2 - 9*k - 9*k**3 + 55*k - 11*k to the form h + d*k + p*k**2 + w*k**3 and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -11010110110001010?\nAnswer: 11010110110001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iuuiyg. What is prob of picking 1 g and 1 u?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 109 + 49 = 4*q, 4*q - 134 = 3*u. Calculate the remainder when 399 is divided by q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -2420300112?\nAnswer: -2420300120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 12:15 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-7)\/(-3))\/(3\/54*6). Let f(d) = 2*d**3 - 14*d**2 + d + 12. Let t be f(y). Calculate the highest common factor of t and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g**4*m + 1489709*g**3*m**2 - 4520*g*m**2 + 246*g wrt g?\nAnswer: -24*g**2*m + 8938254*g*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*b*i**2*u**2 + 10*b*i**2*u + 95*i**2 + 2*u**2 with respect to b.\nAnswer: -6*i**2*u**2 + 10*i**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2641*i + 4373. Determine g(2).\nAnswer: -909","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 12*f - 138940. Let s(k) = 3*k**2. Give y(s(z)).\nAnswer: 36*z**2 - 138940","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 0.4. Let u = m + 5.6. Let s = -0.539 + 0.339. Is s != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r - 26 = -34 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 + 26*p - 6. Let y be v(27). Let r = 38 + y. Suppose -4*n + 513 = 3*f - 277, 3*f - 788 = -r*n. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + 9*w - 4. Calculate c(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -50 - 78 + 635 - 102*p + 650*p wrt p?\nAnswer: 548","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 143*x. Let o(p) = -16*p. What is -26*o(j) - 3*r(j)?\nAnswer: -13*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 1837 = 5*q, 20*o + 369 = q + 19*o. What is the greatest common factor of q and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(320) + 2)*-1 + ((-1*sqrt(165))\/sqrt(11))\/((1*sqrt(18))\/sqrt(6)))**2.\nAnswer: 780*sqrt(5) + 7705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -149*r + 2. Let u be s(-2). What is the common denominator of 8*5\/u*9 and -119\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*a - 4 = -22*a. Sort -3, -12, a in decreasing order.\nAnswer: a, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**2. Let n(q) be the third derivative of -q**4\/8 - 10*q**2. What is h(n(o))?\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/2*(-525)\/(-420).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-13)\/156*4*(-25 + -2). Solve w = 12*d - l*d - 12, 4*w - 3*d = -12 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100a (base 16) to base 14\nAnswer: 16d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eoxo when four letters picked without replacement from {x: 1, d: 4, e: 1, o: 5}?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 74 - 40?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 9*l - 11 = 2*z, 118 = 2*z + 2*l. Calculate the remainder when 722 is divided by z.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 - -20. Suppose -4*u + 169 = -9*r + s*r, 4 = -4*r. Is u a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5475 in 0.1, 7\/60, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 94193 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 820.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/32 and 83\/136016?\nAnswer: 272032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -296*p**3 - 58077*p**2 + 2*p + 43220419.\nAnswer: -1776*p - 116154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a + 145. Let w be c(0). Suppose 5*g = 3*p + w, 2*p - p + 27 = g. What is the greatest common divisor of 8 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/5)\/(2\/10). Let r be 14*(6\/n)\/6. Let h = 5 + -5. Sort r, -3, h.\nAnswer: r, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31664550?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 3. Suppose 12 = -d - 3*n, d = t*d - 3*n - 24. Calculate the greatest common divisor of 6 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p**3 - 24*p**3 + p**3.\nAnswer: -23*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3.225*-26506\nAnswer: 85481.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (378\/21)\/(-6*(-6)\/(-9))*(-992)\/1736?\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 PM and 11:11 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*z + 7260 + 2910. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.6769 - 2.7149. Sort -2\/3, 0, s in decreasing order.\nAnswer: 0, s, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2083 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - 136424?\nAnswer: -136421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -417b4 (base 13) in base 12?\nAnswer: -581a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 9580969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7253997 to the nearest integer?\nAnswer: 2693","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 16, q: 3, g: 1}. What is prob of picking 1 q and 1 g?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 96 - 99. Let j be 4*(d + 27 - 3). What is the highest common factor of j and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*d + 3*t, 0 = -d + 2*t - 0 + 5. Does -24\/55 = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 23878666 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 635, 2575, 5805, 10319, 16111, 23175, 31505, 41095?\nAnswer: 51939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -52 - -89. Suppose 130 = -13*w + 8*w. Let l = w + a. Calculate the highest common factor of 44 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 8, l: 2, c: 5}. What is prob of picking 2 l and 1 c?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 + 5*y**2 + 7*y - 6. Let a be m(6). Suppose 11 - 3 = 4*q. Let z(r) = a*r + 0*r - r**q. Let w(u) = 2*u. Give w(z(f)).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - 7*i**2 - 10*i - 5. Let o be m(8). Let y be (34\/(-6))\/(7\/o). What is y rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 296467711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24 or -0.17?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(550) + (-2*sqrt(550) - sqrt(550) - sqrt(550)))\/sqrt(11))\/(sqrt(10) - sqrt(10)*1*-5).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -90 (b) 0.3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*v + 78 - 0. Is -2*(v + -8)*502\/8 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64, -114, -152, -178, -192?\nAnswer: -194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1978, 7866, 17678, 31414, 49074?\n\"Answer: 1962*i**2 + 2*i + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 10759603 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, v: 2, j: 3, y: 2, u: 1, c: 4}. What is prob of picking 1 j and 1 u?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 429 and 273?\nAnswer: 3003","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 522 - 522 - 12*x**2 + 3*x in the form f*x**2 + h + n*x and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-910)\/(-56))\/1*6\/39*1280\/(-25).\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nrnrnrrr. What is prob of picking 3 r?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvssvsvvvv. Give prob of sequence ssvs.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 4*u - 14, -5*u - 5 - 26 = -2*y. Suppose -29 = -y*d + 8*d + r, 3*r + 12 = 0. Sort d, 20, 3, -1.\nAnswer: d, -1, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) -23\/4 (c) 15 (d) 1 (e) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (y - 14*y + 2*y)*(-7 - 7 + 3)*(-2 + 2 - 2) in the form m + z*y and give z.\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 111392935 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*q**4 + q**4 + 0*q**4 + (0*q**2 + 0*q**2 + q**2)*(-2*q**2 + 0*q + 0*q) as w*q + x*q**2 + t + u*q**4 + f*q**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**3 - 5*p**2 - 19*p - 3. Calculate v(-3).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -44.58 + -0.42. Let m = d - -218. Let v = m - 173.00209. Round v to four dps.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/57814 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 469, 947, 1435, 1939, 2465?\n\"Answer: o**3 - o**2 + 474*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of -k**4\/4 + 5*k**3\/3 - 3*k**2\/2 - 452. Give w(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 119796867, 239593733, 359390599, 479187465, 598984331?\nAnswer: 718781197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 2\/9 (b) -0.1 (c) -4 (d) 4 (e) -6 (f) -491 (g) 1.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/6*2\/1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 AM and 5:01 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (5*(sqrt(891) - (sqrt(891) + sqrt(891) + 4 + -2 + sqrt(891) + sqrt(891))) - (sqrt(891) + 2 + -3)*-1))**2*5.\nAnswer: 7560*sqrt(11) + 873360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*j**2 + 23*j**2 - 2348 + 2348.\nAnswer: 45*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157384 is divided by 249.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22062, -44151, -66240?\nAnswer: -88329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -3*n - 253. Let j be f(-2). Which is bigger: j or -985\/4?\nAnswer: -985\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -86.118 - -86. Round y to two dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/7 (b) 29 (c) -1\/21 (d) 3 (e) 0.76 (f) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 14 - 12 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + ((sqrt(12) + sqrt(84)\/(3*sqrt(7)) + sqrt(12))*6)\/(((-3*sqrt(432))\/sqrt(9) - sqrt(48))\/sqrt(12)))*5)**2.\nAnswer: 3675\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -924638*b. Let g(v) = 14*v**2. Give g(h(q)).\nAnswer: 11969376034616*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (36\/315)\/((-1076)\/10). Suppose -b - 9 = -5*q, 0*b = -5*q - 4*b - 11. Which is bigger: q or m?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2212 (base 3) to base 5\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*r*u**3 - 4*r*x - 5*u**3*x - 2*u**2*x + 10*u wrt u.\nAnswer: -48*r - 30*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 106488 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.06, -3\/22, 1102?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.5, -4\/13, -3, 1?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 6*f**2 + 2*f + 8. Let g be s(6). Suppose -2*k + 6*k = g. Suppose 62 - 7 = k*i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1734a7 (base 13) in base 5?\nAnswer: 122003444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b*w**3 + 23591*b*w**2 - 2*b*w - b - 2471*w wrt w?\nAnswer: 12*b*w + 47182*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**5 + 16*p**4 + 6*p**3 - 44*p**2 - 32*p = 0 for p.\nAnswer: -1, 0, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 55915753.54 to the nearest 1000000.\nAnswer: 56000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/3*((-31)\/(558\/36))\/52.\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 432 and 32184.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8819880423?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-9))\/(12\/36).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + k**2 + 108*k + 23. Calculate p(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z**4 - 2*z**3 + 8*z**2 - 3*z**4 - 4*z**4 + 3*z**4 as a*z**2 + p + i*z**4 + c*z + d*z**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p + 3. Let n be u(0). Suppose -2 = -k, n*k - 2 = -5*y + 2*k. Suppose y*s + 4*s = -16, 5*j - 42 = -2*s. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -10*w - 5. Let f be k(13). Let s = f - -240. Calculate the greatest common factor of s and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 86 (b) 2\/11 (c) 0.08 (d) -0.3 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1041, -4150, -9311, -16524, -25789, -37106?\n\"Answer: -1026*f**2 - 31*f + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19649*c**2 + 5186*c - 3 wrt c.\nAnswer: -39298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*k - 30*k + 3*k + 9*k + 8*k + 2*k.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 15 = 2*m. Let d = m + -5. Solve -3*z = -y + 2 - d, 0 = 3*z - 2*y + 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j**2 + 2*j + 11. Let z be a(22). Let y = z - -2383. Suppose -y + 4835 = 5*p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 5:50 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41799808?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2664769530 a multiple of 352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 divided by 35346.\nAnswer: 25\/35346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 PM and 11:55 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -29*s + 32. Let b(o) = 25*o - 32. Let z(p) = 7*b(p) + 6*v(p). Let f(r) = -3*r + 32. Let g(y) = -2*f(y) - 3*z(y). Calculate g(-13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 48\/(-21) - 4\/(-14). Let i be (4\/z)\/(2\/(-9)). Suppose -5*v = -6 - i. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -4*g - 1. Let c be r(1). Let u(t) = -t**2 - 206*t - 4833. Let y be u(-179). Put c, 4, -4, y in descending order.\nAnswer: 4, y, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1 - (-8 + 4)) + -7 - 3) + 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -4*x + 3. Let y(v) = -7*v + 21. Let l(s) = 7*s - 18. Let h(q) = 5*l(q) + 4*y(q). Give 6*h(u) + 11*r(u).\nAnswer: -2*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 50\/30 - 1\/(-3). Suppose -41*h + 56*h**x - 23*h + 20*h + 8 = 0. What is h?\nAnswer: 2\/7, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 432267?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 307?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-3) + -1)*-3. Suppose 21 = -q + 3*c, -c + 52 = -2*q - 0*c. Let d be (q\/12 + 3)*(-77)\/(-33). What is the third smallest value in d, j, -0.3, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**(-1\/2)*z)**32*(z\/(z\/z**(-4\/5)))\/((z**(-3\/8)*z*z)\/z)*(z*z*z*z*z**3)\/z*z**(1\/6)*z**(-6)*(z\/(z*z**(-2\/7)))\/z assuming z is positive.\nAnswer: z**(65543\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16\/(-80) + (-138)\/10. Let r be 4\/(-6) + l\/(-3). Solve -a - 2*a - 3 = c, -2*a + 12 = -r*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-46))\/((-1)\/(-1)).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - 0. Let p = y - -16. Solve 3*x = -5*r, -x + p*x - 12 = -r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/128 + 49\/1920. What is the common denominator of 8184\/3720*(-3)\/(0 + -1) and s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 10:04 AM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-15)\/(-25) + (-96)\/10. Calculate the remainder when 3 is divided by (m\/(-6))\/(15\/20).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1778 is divided by 192?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 209\/33853 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of 89*g**5\/5 - 4*g. Let d be q(-1). Let h be 18\/(-42) - d\/14. What is the greatest common factor of 175 and h?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -4*i. Let v(k) be the first derivative of 59*k**4\/24 - 84*k**2 + 118. Let g(q) be the second derivative of v(q). What is g(x(w))?\nAnswer: -236*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -3*z**2 + 18*z - 25. What is t(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 3*c + 20 = 33, -c = -3*f + 9 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 5*q = -207, -4567 + 4669 = 2*o + 2*q. Calculate the lowest common multiple of 1416 and o.\nAnswer: 2832","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**2 - 22*g - 116. Determine r(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yj when two letters picked without replacement from {y: 7, j: 3, i: 1, q: 5}.\nAnswer: 7\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -645.7616169 to one dp.\nAnswer: -645.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (7 + -10)\/((-6)\/10). Suppose -n*d - 5*l + 130 = 0, 3*d + 2*l = -0*l + 80. Suppose -2*c + 16 + d = 0. Is 10 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.070354 rounded to three decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 222 and 60?\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6789821, -6789823, -6789825, -6789827, -6789829?\nAnswer: -6789831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 15 = z. Solve 5 = -5*x - i, 3*x - z*i + 2*i = -11 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 8:46 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 83733 - 1925863\/23. Suppose -2*k + 1 = 9. Let f be 1\/4 - (-5)\/k. Which is smaller: f or a?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79008 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of i**8\/6720 - i**7\/420 + i**6\/60 + i**5\/15 - 7*i**2. Let s(q) be the third derivative of l(q). Factor s(f).\nAnswer: 3*(f - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10 + 14)\/(2 - 0). Suppose s - 4*n + 3 = -f*s, 2*n = 2*s. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -31*w**2 - 80*w + 165. Calculate c(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.67443 rounded to two decimal places?\nAnswer: -3.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21634510.\nAnswer: 2, 5, 349, 6199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of -m**4\/6 - m**3\/3 + 61*m**2\/2 - 8*m - 8. Let u(j) be the first derivative of o(j). Determine u(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 18251*k = 18248*k - 6, -k + 3 = q + 2*k for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16.5 + 16. Let s(d) = -d**2 + 2*d + 2. Let t be s(3). Which is the closest to t? (a) z (b) 4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from negpeynplpnngnpnngge. What is prob of picking 1 p, 1 l, and 1 n?\nAnswer: 7\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or 80\/83?\nAnswer: 80\/83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -72326.49 rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 plus 36879?\nAnswer: 36879.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*a**3 + a + 5*a**3 + 4*a**2 - 6*a**3 - a**2 in the form h + f*a + u*a**3 + y*a**2 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.067 + -1690747919398\nAnswer: -1690747919397.933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -1. Suppose 3*i - 38 - 16 = d. What is the smallest common multiple of (-1 - 1)*2 - -6 and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b + 64 = 16*b + 6*b. Solve b*g - 22 = 3*q - 9, 18 = 2*g - 4*q for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**2 + 7*w + 6. Let n(u) = -u**3 + 8*u**2 - 8*u. Let d be n(7). Let q = 13 + d. Calculate m(q).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -5*x - 150, 5*w + 9*x - 4*x = 150. Let l be 7*(75\/w)\/((-1)\/(-22)). Suppose 11*s = -0*s + l. Calculate the greatest common divisor of s and 385.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4459 - 4466. Let d(m) = -11*m**3 - 11*m**2 - 7*m + 3. Let t(y) = -6*y**3 - 7 - 5*y - 7*y**2 + y**2 + 9 + y. Calculate k*t(n) + 4*d(n).\nAnswer: -2*n**3 - 2*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3474955 + -1354955. Round r to the nearest 100000.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2735.\nAnswer: 5, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 9) to base 3\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**0)**(-3)*(u*u**5*u)**(1\/4) assuming u is positive.\nAnswer: u**(7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o**2 + 2 + 2*o**4 - 3*o**2 - 2*o + 1 + 2*o**2 to the form z*o**3 + m*o**2 + c*o**4 + s + v*o and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -197 - -197. Solve d*g - 2*g = 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -4*k, -k - 196 = -0*k - 191 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1835, 1828, 1821, 1814, 1807?\nAnswer: 1800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 2 = -2*b. Suppose 0 = -4*y + n + 12, -2*y - 1 + 17 = -b*n. Calculate the remainder when y is divided by ((-36)\/(-3))\/3 - 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 4*q**2 + 8. Let h(s) = -28552*s. Calculate k(h(u)).\nAnswer: 3260866816*u**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -124, -146, -154, -142, -104, -34, 74?\n\"Answer: n**3 + n**2 - 32*n - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 55*r**3 + 6*r**2 - 4*r + 2. Let a(m) = 27*m**3 + 2*m**2 - m + 2. Give 5*a(o) - 2*p(o).\nAnswer: 25*o**3 - 2*o**2 + 3*o + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 117 and 1719?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 14276.6541 to the nearest one thousand.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1888 and 9896288.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000666 to 7 decimal places.\nAnswer: -0.0000067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76783135?\nAnswer: 5, 11, 13, 17, 6317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**3 - 5*b**3 + 8*b**3)*(-b**2 - 3*b**2 + 2*b**2) - 3 + 3 - 2*b**5 + (-4*b**3 + 4*b**3 - b**5)*(0 + 3 - 4) + 1 - 1 + 3*b**5 + 3*b**3 - 3*b**3 - 2*b**5.\nAnswer: -4*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vzzvvzzvzzzzzf. Give prob of picking 1 f, 1 v, and 2 z.\nAnswer: 144\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -472*v**5 - 6*v**3 + 272*v.\nAnswer: -9440*v**3 - 36*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + 2*s**2 - 80*s - 229. Determine y(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of -97*q**6\/60 + 5*q**5\/6 - q**3\/3 + q**2 - 100*q. Find the third derivative of t(o) wrt o.\nAnswer: -1164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q - 7. Let l(w) = -w + 3. Let r(b) = -5*l(b) - 3*n(b). Calculate r(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zh when two letters picked without replacement from {i: 1, h: 3, z: 11}.\nAnswer: 11\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12200 and 1900?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1945900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a century in years?\nAnswer: 1075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 7*s**3 + s - 3*s - 6*s**3 + 6*s**2 - 6 - s**2. Calculate m(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3204 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -8 - 2 - ((-7488)\/(-80))\/(-9). Let r = -29.6 + -4.4. Which is the biggest value? (a) v (b) r (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 44*o**2 - 85*o + 44. Let k be z(42). Put 3, 4, 12, -3, k in increasing order.\nAnswer: -3, k, 3, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20.167556 - -17.16751. Let h = o - -3. What is h rounded to 6 dps?\nAnswer: -0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -1\/14 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 - 5*l - 1. Calculate j(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5766.228106128 less than 4?\nAnswer: 5770.228106128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cxcwxwrcccdc. Give prob of sequence rxw.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-26)\/65*(-10)\/1. Suppose 0*h - 131 = -5*h + i, -124 = -y*h - 4*i. Let j = -2 + 5. Calculate the highest common divisor of h and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1973 + 1973 + 1954*m**3)*(10 + 2*m - 8 + 3) to h*m + u*m**4 + o*m**3 + a*m**2 + k and give o.\nAnswer: 9770","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-16)\/40)\/((-1)\/5). Do 0 and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, k: 4}. Give prob of sequence gkgk.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7072*k**4 + 3656*k**3 + 77*k**2 - 318*k - 58 wrt k?\nAnswer: 169728*k + 21936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f - 1 + 6*f - 14*f - 4. Let o be l(-5). Suppose 31*t - o*t = 168. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 14 = q - 13, 5*q + 2*g = 171. Calculate the highest common divisor of 66 and q.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 - 4*t + 9. Let j(g) = 3*g - 5. Let z be j(4). What is the tens digit of q(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -250.135 - 0.865. Put 3\/4, g, 5 in increasing order.\nAnswer: g, 3\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -155 + 224. What are the prime factors of z?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6357 and 293527?\nAnswer: 143534703","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 323654 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4415, -4383, -4351, -4319, -4287, -4255?\n\"Answer: 32*v - 4447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a second in milliseconds?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 8:09 PM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1145144 is divided by 563.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.52 + -0.08. Let u = n - -0.9. Let w be (1\/3)\/((-12)\/(-9)). What is the third smallest value in u, -0.5, w?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q**4 - 105*q**3 - 972*q**2 - 3504*q - 4416 = 0. What is q?\nAnswer: -23, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 + u + 30. Let i be j(0). Let c = i - 21. What is the greatest common divisor of 3 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 267582 - -664?\nAnswer: 268356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 138093695 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 176345\/68046 + -2\/3093. Find the common denominator of t and 65\/28.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 279 - 0. Suppose 36*j - 34*j - 590 = -4*i, -2*i + 3*j = -307. Let l = t - i. Does 26 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-4*(sqrt(567) + 0 - sqrt(567)))**2 + -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-15)\/5 + (-3 - -1). Let m = -5 - p. Suppose -3*o + 3*a = -51, -3*o - 2*a = -m*a - 46. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*(-6)\/4 + -3. Let v be 4 - c\/(3\/3). Solve v*m - 4*g + 0*g = -32, g - 23 = 4*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 89 - 168. Let l = h - -69. Put -3, l, 2 in ascending order.\nAnswer: l, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05462 times 0.7?\nAnswer: 0.038234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 309421506 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 13*s**2 - 364*s + 684. Calculate v(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -11*b + 67. Let g be 0 + (-4 - (-26)\/8) - (-252)\/336. Determine a(g).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 - k. Let g(j) = -4*j**2 - 2*j + 3. Let f(z) = g(z) + 6*m(z). Let i be f(-6). Suppose 18*n + i = 21*n. List the prime factors of n.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - 9 = -9*k. What is the common denominator of -4 + (k - ((-265)\/(-90) + -2)) and 250\/(-36) + -1 + 0?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 126.48546 + -0.17546. Let y = -4.21 + w. Let n = y - 122. Which is the second biggest value? (a) n (b) -32 (c) -0.1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*p = -315 + 7 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8361*h - 8051*h + 7*h**3 + 16409*h.\nAnswer: 7*h**3 - 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(2\/25))**0 assuming p is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - l**4 - 1)*(0 + 2*l - 1 + 3 + (-2 + l + 2)*(2 - 3 + 3)).\nAnswer: -4*l**5 - 2*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 + 0 + (-1 - 0). Suppose t = d*z - 3 - 1, 5*t - 10 = 0. Let c(y) = y**2 + 2*y + 2 - 4 - z*y. Let b(k) = -k**2 + 5. What is 2*b(i) + 5*c(i)?\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7\/(49\/42) + -1 - -6. Let m(c) = 9*c - 5. Let x be m(4). Suppose 4*q + a = x. Solve 0*p - p + q*h = -21, -5*p - 40 = 4*h for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -36, 6, 0.3, -2\/5, -1, 2\/9, 2\/7?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**3 - 54*j**2 + 57*j + 13. What is p(-28)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -124, -117, -96, -55, 12, 111, 248, 429?\nAnswer: 660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 10\/8 - (1045\/264 + 31\/744)\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 divided by 8407925.\nAnswer: -21\/8407925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 195*a**3 + 9*a**2 - 9*a + 349. Is r(14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 24*d - 23*d - 84, 390 = 5*d - 5*i. Calculate the remainder when 175 is divided by d.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of 23 + 0*r**2 + 1\/3*r + 0*r**4 - 2\/9*r**3 + 1\/15*r**5. Determine v so that f(v) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -991, -1051, -1137, -1249?\n\"Answer: -13*d**2 - 21*d - 957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10847*f - 10863*f = 34704. Is f at least as big as -2168?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 12:15 AM?\nAnswer: 3:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1317*h - 1915 + 11050 + 26705 = 293*h for h.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -5*p**3 - 4*p**2 + p + 4. Let x(t) = 5*t**3 + 3*t**2 - t - 3. Calculate -3*a(z) - 4*x(z).\nAnswer: -5*z**3 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 122, 116, 110, 104, 98, 92?\n\"Answer: -6*g + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1, 9, 31, 73, 141, 241?\n\"Answer: y**3 + y**2 - 2*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -19. Let h = a - -7. Calculate the remainder when 111\/21 - h\/(-14) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 2. Suppose h = -0*a - 4*a + 3*f + 65, -4*f = 2*a - 16. Let z = -7 + a. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i = 17 + 33. Suppose -i*k = 5*z - 110, 7*k - 5*z = 5*k + 79. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1389895.\nAnswer: 5, 13, 21383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 222\/15*5\/2. Let x be a\/5 + (-3)\/(-5). Solve 1 = 2*b + 7, x = -4*f - 4*b for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + a + 3*o - 54 = 0, 2*o = -4*a + 76. Calculate the lowest common multiple of a and (-2)\/(-5 + (-24)\/(-5)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21\/68 + -1\/17. Let u = 9.4 - 9. Which is the third smallest value? (a) u (b) 2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1686, 3392, 5108, 6834, 8570, 10316?\n\"Answer: 5*r**2 + 1691*r - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/5)\/((-36)\/120)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 + 6*h + 5. Let s be x(-6). Let i be (-1)\/5 - 19\/s. Sort -1\/6, -2, i in decreasing order.\nAnswer: -1\/6, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17591292 is divided by 8795626.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d**2 - 9517*d + 76263. Give c(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23632 smaller than 27300?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 900572 is divided by 140.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - 17*n**2 - 16*n - 6. Calculate d(-16).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3*c - 22. Let t be l(9). Let q be t*(-3 + (-66)\/(-10)). Let f = q - -22. What is the highest common factor of 100 and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21858189638 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 + 52*d**2 - 57*d + 345. Let i be b(51). Calculate the highest common divisor of 559 and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cccc when four letters picked without replacement from cckckckkckccccckcc.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(21\/3 - 1). Suppose q = 2*l - 12. What is the greatest common factor of l and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 25 and 0.3?\nAnswer: 7.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - a = -1. Suppose j = -2*j + 12, 0 = 5*q - 4*j + a. Suppose q*d - 10 = -2*d. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 58 and 4582?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 + 38 + 21 + 4*h**2 + 2.\nAnswer: 4*h**2 + 78","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 101110 (base 2) to base 15\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 51, 76, 103, 132?\nAnswer: 163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4 or -0.829?\nAnswer: -0.829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73945?\nAnswer: 5, 23, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14423593 a multiple of 349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -139, -230, -321, -412, -503, -594?\n\"Answer: -91*f - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.19 + 0.01. Let s = v + -2.9. Let h = 0.93 + 0.07. What is the closest to h in -4, s, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46724, 12, -4, -3.\nAnswer: -46724, -4, -3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 9. Let f be 1310\/12 + k\/42. Let p = 160 - f. Is 19 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 5:40 PM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*t - 0. Solve -4*h = -5*o, 0 = 5*o + t*h + h + 45 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8.90103 - -8.92. What is r rounded to 3 dps?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6.1, -64, -116.2.\nAnswer: -116.2, -64, -6.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.063 + 2.937. Are n and 4\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 2 - 2 - (15 + -18).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000566779 rounded to six decimal places?\nAnswer: -0.000567","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of a**5\/60 - a**4\/12 - 7*a**2\/2 + 18. Let k(j) be the second derivative of h(j). What is the second derivative of k(g) wrt g?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 - 4)\/(-2*1). Suppose 25 = 3*p + 2*p + 4*f, v = 2*p - 2*f + 8. Let r = p + -1. Solve 0 = -4*o + 8 - r for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 9*d**2 + 162*d + 804. What is w(-5)?\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 507 = -u, 0 = 5*c + 2*u + u + 831. Let o be (-4)\/(-3) - (-4781)\/c. Let i = -27 - o. What is the third biggest value in i, -2\/3, -0.5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*t = 6 - 125 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1643723 and 4927?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12934942 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 60\/27 + -2 + 0. Suppose 37*i - 21*i = -32. Which is the second smallest value? (a) -1 (b) p (c) i (d) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q - 77*q + 4138382 + 3038641 = 0. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 403444 (base 6) to base 13.\nAnswer: 116b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004198395145 rounded to 7 dps?\nAnswer: -0.0041984","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44378 (base 14) to base 3.\nAnswer: 22101210111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 2*u**5\/5 + 246*u**4\/5 + 7286*u**3\/5 - 15822*u**2\/5 - 7288*u\/5 + 15576\/5 = 0.\nAnswer: -66, -59, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -132 and -319.4050814.\nAnswer: -451.4050814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 18*b - 10. Calculate q(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of -h**5\/60 - 3*h**4\/8 - 4*h**3\/3 + 162*h**2. Let i be (13 - 4)*6\/(-9). Give c(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/89, 328\/23, 28.\nAnswer: 1\/89, 328\/23, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 74*g**2. Let a(x) = -x - 16. Let i be a(-18). Let f(q) = -5188 + 0*q**2 + 5188 - i*q**2. Determine s(f(p)).\nAnswer: 296*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x + 3*z + 37, 222*x - 58 = 219*x + 10*z for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17514063*l**3*s**5 + 7*l**3*s**2 + 73570*l**2 - l*s**2 + s**5 wrt s.\nAnswer: 1050843780*l**3*s**2 + 60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate t**3*v + 2*t**3 + 3*t**2*v - 23*v - 4 with respect to t.\nAnswer: 3*t**2*v + 6*t**2 + 6*t*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1572648?\nAnswer: 2, 3, 7, 11, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2241116 bigger than 2241114?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 192 and 3872?\nAnswer: 23232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 4*j - 10, -2*j = -5*q - j + 7. Let f be (-46)\/(-8) + q\/8. Suppose r + 65 = f*r. List the prime factors of r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 35236111\/7 and 5033729 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9399276 - 3341?\nAnswer: 9395935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50 and 275?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -4*t**3 + 9*t**2 + 2*t + 16. Let r(b) = b**3 + b**2 - b - 1. Let z(o) = -d(o) - 2*r(o). What is the remainder when 87 is divided by z(6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1176?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 66.1? (a) -3 (b) 1.8 (c) 0.5 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -42*o**2 - 5397*o - 47487. Give z(-119).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 106694 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 + 21. Let w = 4.16 - 0.06. Let y = 0.1 - w. What is the second smallest value in q, -3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 = -0*s - 4*s. Let m = -59 + s. Is (16\/(-5) - -2)*m a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1778.632 millennia in years?\nAnswer: 1778632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.3 (b) 1592 (c) -2\/9 (d) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 1442*v**2 + 21*v - 25. List the prime factors of s(-3).\nAnswer: 2, 5, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1036 divided by -518.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-6)*o*o)\/(o*o**(-1\/3)))\/((o\/(o**(-6)*o)*o)\/o**(1\/13)) assuming o is positive.\nAnswer: o**(-452\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2681 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**3 + 696*h**2 - 696*h + 699. Determine b(347).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5952.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3*t - 7. Let b(y) = -4*y - 6. Let i(m) = 4*b(m) - 5*u(m). Let j be i(2). Suppose 2*c = 3 + j. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -3*z - 36. Let q be d(-11). Sort 2, q, -5 in decreasing order.\nAnswer: 2, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1872) - -2*sqrt(1872) - sqrt(1872)) + 1)**2 - (sqrt(1872) + 1*sqrt(1872) + 0)**2) + 3*sqrt(1872) + 4 + 1.\nAnswer: 6 + 84*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*i - 7 = 3*w, i + 1 = 0. Let j be 0*(5\/w)\/(-5). Suppose -c + 6 = 3*p, j = -5*c + 4*p + 8 + 3. Calculate the remainder when 8 is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - (4 - (2 + 1)). Let o be 0\/1 + (40 - 12). Let l = 29 - o. Put v, l, 4 in ascending order.\nAnswer: v, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2\/9 - 768820*g\/3 + 2306464\/9.\nAnswer: -4*(g - 1)*(g + 576616)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59221?\nAnswer: 59221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -4*s + 175. Suppose -3*f = 3*z - 51, -5*z = -5*f + s + 60. Let g = 9 - -21. What is the least common multiple of f and g?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.33, -0.2, 11, 50 in descending order.\nAnswer: 50, 11, 1.33, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, 1\/3, 0.22, -1, 4.\nAnswer: -1, 0.22, 1\/3, 4\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 267 - 163. Let w = 106 - y. Find the second derivative of 32*o**3 + 97*o**2 + 6*o - 97*o**w wrt o.\nAnswer: 192*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-41)\/((-4346)\/265))\/(2*(-5)\/(-32))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 12:53 PM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 + 24. Let k be y(10). Let u = 118 + k. What is the remainder when u is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2011355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10785194?\nAnswer: 2, 7, 167, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of -u**4\/12 + u**3 + 3*u**2 - 10*u. Give m(8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(102)*-3*-6)\/(sqrt(30)\/sqrt(405)).\nAnswer: -486*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 443622 is divided by 670.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 6, r: 2}. What is prob of picking 4 h?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (-18)\/3) + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.63 and -0.247331?\nAnswer: -0.65048053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/13)\/((-511)\/(-6643)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -9*w**2 - 7*w + 7. Let a(y) = 3*y**2 + 2*y - 2. Let h be (-14)\/(-10) - (1 - (-16)\/(-10)). What is h*v(x) + 7*a(x)?\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 3*j + 1. Let r be s(8). Let b(o) = 4*o + 35. Let c be b(-8). Solve 4*g - 20 = 0, -c*g + 15 = 5*t - r for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 2*k + 196, -386 = -5*r + 4*k + 104. Let z(d) = -r - d**2 + 59 - d + 40. Let h(g) = -g**2 - 2*g + 3. Determine -h(i) + 3*z(i).\nAnswer: -2*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -4*z**2 + 19*z - 8. Let j be k(4). Solve -j*t + 18 = -2*d, -3*t + 0 = 4*d + 14 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 213 + -301. What is the remainder when (3 - 1) + 19 + -2 is divided by (l\/(-24))\/(-2 - (-7)\/3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/6265554 and -81\/610.\nAnswer: 31327770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28 - 18. Suppose -d - 4*w = -0*d + 7, -5*w + g = 5*d. What is the third derivative of 64*k - d*k**2 - 4*k**3 - 64*k - 3*k**2 wrt k?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g**2\/2 + 11134605*g\/2 + 22269250 = 0. Calculate g.\nAnswer: -4, 2226925","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + 13*c - 39. What is h(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 190*h**2 - 3544*h + 116. Determine j(169).\nAnswer: 961","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-896947 + 896947 - 7424*w)*((3*w - w - 3*w)*(-2*w - 1 + 1) + w**2 - 5*w**2 + 5*w**2).\nAnswer: -22272*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19.6 + -16.63. Let l = 1.03 + -1. Let a = w + l. What is the smallest value in a, -0.4, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2052, -8227, -18518, -32925, -51448?\nAnswer: -74087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - w - 163*w**2 - 1 + 160*w**2 + 0*w to the form i*w + j*w**2 + a and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*x**2 + 12*x**2 - 5*x**4 + 3*x**4)*(2*x - 2*x + x) + (1 - 1 - x**3)*(3*x**2 + x**2 - 6*x**2)*(0 - 4 + 6).\nAnswer: 2*x**5 - 4*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**3 + 7*x**2 - 47*x + 8. What is a(-7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = -3*f + 4*f. Let w = -81 + f. Is w a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h + 0*h + 5*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37 + -43. Let i be (1\/(-2))\/(c\/(-24)*-1). Solve -i*q = -4*q - 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 5*j - 520, 3*a - 91*j + 87*j - 521 = 0. Calculate the greatest common factor of a and 455.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -883, -881, -877, -871, -863, -853, -841?\nAnswer: -827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 64622951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/1751 and 21\/515.\nAnswer: 8755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 7. Let g = s - 3. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -284 by -2168.\nAnswer: 71\/542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 110334 (base 5) to base 2\nAnswer: 111100000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/6*(6 + -231*3)?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/1661 and -33\/74141?\nAnswer: 815551","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 388 is divided by 101?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zazzzazzzzzzzzzzzzz. Give prob of sequence aa.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 2*x + 29, 2*o - 4*x + 23 = 7*o. Suppose -r - 1 = -o. Let z(a) be the first derivative of a**4\/4 - 2*a**3 + a**2 - 6*a + 495. Give z(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16746 divided by 6.\nAnswer: -2791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 54 by 6.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y*y**11)\/(y*y**(-3\/17)\/y)*y**(-16\/7)*y\/y**1 assuming y is positive.\nAnswer: y**(1415\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 49179550?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of -i**2 - 4*i + 3. Does 9 divide a(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*3*1\/9. Let z = t + 17. Let y(h) = 67*h - 3. Let i be y(3). Calculate the greatest common factor of z and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 + 0)*(-3 - -2). Solve -2*v = -j*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r - 15. Let i be t(15). Let a be (i\/(8\/4))\/(-3)*-1. Suppose -2*k - 51 = -4*h - 17, 5*h - k - 38 = a. What are the prime factors of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + i + 2416 = 0, 3*i = -5*k + 8*i + 2420. List the prime factors of k.\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 greater than or equal to 71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a gram in milligrams?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01126588 rounded to three dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -2*u + 48, 0 = 5*x - x - 4*u - 24. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of -s**2 + 4*s - 230. Let f = -2 - -7. Give x(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16*y**3 + 29 - y + 6 + 5 wrt y?\nAnswer: 48*y**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 35 - 10. Suppose -2*x - 25 = 5*o, -3*x + 2*o = 3*o + t. Is 4 a factor of -2*(x\/(-1) + -8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of b**4\/6 + 43*b**3\/3 + 82*b**2 + 2*b - 378. Find t, given that y(t) = 0.\nAnswer: -41, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 17 (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of -u**5\/30 - 2*u**2. Let p(s) be the third derivative of 0 + 0*s**3 + 0*s - 3\/20*s**5 + 0*s**4 + s**2. What is c(p(r))?\nAnswer: -162*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (290425\/(-120) + (-2 - 152\/(-64)))*-6 a multiple of 209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 536 - 1544\/3. What is the common denominator of (22\/(-3) + 3)\/1 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133162607 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q - 38*q - 348 = 0 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zddi when four letters picked without replacement from {d: 7, i: 4, z: 3}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39541185?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 3878?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mgw when three letters picked without replacement from ngmow.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 474 is divided by 21?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2148 at least 2147?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12384 and 860?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*g**2 + 4*g**2 + g - g**2 - 12*g**2 + 9*g**2.\nAnswer: 14*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246 is divided by 57.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156*o - 4 = 155*o. Solve o*p = -0*p - 12 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l - 1. Let k be d(5). Suppose -q - 26 = -k*y + 118, 2*y + q = 72. Find the common denominator of 68\/27 and 2 - (-316)\/y - 4.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.2 + 0.2. Put -1, -2, 4, d in decreasing order.\nAnswer: 4, -1, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -35*d**4*y - d**4 - 2*d**3*y**2 - d**2*y**2 - d**2 + 39*d*y**2 wrt d?\nAnswer: -840*d*y - 24*d - 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 0*r + 45. What is the units digit of 4*r\/6*(-48)\/(-18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x + 2*q = -24, -9*x = -5*x + q + 17. Let j = 86 + -52. Let i = j + x. What is the remainder when 56 is divided by i?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 0*m + 5*m**2 - 5*m + 6*m - 8*m**2. What is x(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 8) in base 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1273233?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/(-10))\/(4 - 5). Let x = 13\/10 - l. Suppose 4*q - 3 = 5*f, 0*q + 2*q = -2*f + 6. Which is bigger: f or x?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5 + (16\/(-4) - -4). Let r(w) = 4*w**2 + 2. Let n be r(2). Suppose -u*s - t = -145, -s + 7 + n = t. Is s a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 3. Let h(g) = g - 1. Let v(u) = 2*u - 1. Let x(t) = -h(t) + v(t). Let l be x(3). Is l greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -699681 + 99.23489?\nAnswer: -699581.76511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 1. Suppose -f*w - 108 = -5*m - 0*w, -w - 21 = -m. Solve -4*o + u + m = 0, 2*o - 2 = -5*u - 12 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2069 + -515. Calculate the highest common factor of c and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 308*g**2 + 1192*g - 5. Let f(h) = -205*h**2 - 1192*h + 4. What is -3*f(b) - 2*i(b)?\nAnswer: -b**2 + 1192*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - d - 1 + (-1 + 2*d + 1)*(-36 - 17 + 25))*(d**4 + 3*d**4 - d**4).\nAnswer: -171*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.68 + -4.15. Round k to 0 dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7925 = -26*t - 14*t + 944115. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 3*f + 3 = 0. Let l(s) = s**2 + 2*s - 6. Let b be l(2). Let d be f*(0 + b) - 1. Do 1 and d have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 8:59 PM?\nAnswer: 12:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 4*a**2 + 14*a + 15. Let v be j(-8). Calculate the highest common factor of 424 and v.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 divided by -114052?\nAnswer: -73\/114052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3480 + -3472. Suppose 5*n - 5*g = 29300, -2*g + 11705 = 2*n - g. Suppose -l = -3*i + 4396, 4*i + q*l = 3*l + n. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(1100) - (sqrt(1100) + (sqrt(1100) + (1*sqrt(1100)*2)**2 - sqrt(1100)))) + 5 + sqrt(1100) + -2 + sqrt(1100)).\nAnswer: -17588 + 80*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6493282 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.073 to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-3))\/(4\/30). Let j = 78 - 73. Suppose j*i + 9 = -4*i. Sort h, -5, i in descending order.\nAnswer: h, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + -1 - -9 - 1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of 0*v**3 + 2\/5*v**6 + 1\/12*v**4 - 3\/8*v**5 + 0*v**2 - 1 + 44*v + 4\/21*v**7. What is r in x(r) = 0?\nAnswer: -2, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 593782743 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-6)*(-1 + 4). Let s(l) = -l**3 + 3*l**2 + 2*l - 3. Let d be s(b). What is the derivative of 2 + 2*h - d + 1 wrt h?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*i + 406*i = -5962 for i.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1741 + -1746. Which is the fourth biggest value? (a) -2\/13 (b) k (c) -3\/2 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8031030*l - 20401196.\nAnswer: -8031030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*v + 142*v + 104 = 303*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*d - 6 = 48*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by 416156\nAnswer: 11\/416156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (8 + 44 + -36 + 64)*1\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68 = -328*j - 883 + 5079 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3685 + 190.\nAnswer: -3495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b = 1702 + 573. Suppose u - b = -31. Is 8 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.039 + -5.039. Let r = 2.1 + -10.1. Which is greater: k or r?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.278 - -0.078. Let f = -0.3 + 1.3. What is the nearest to s in 2\/9, 1\/2, f?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25867, 25834, 25803, 25774?\nAnswer: 25747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2148, -2, -314028 in ascending order.\nAnswer: -314028, -2, 2148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (3 + (-1 - 3) - 2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52379301 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3 (b) 1\/11 (c) 4\/3 (d) 367690 (e) 6 (f) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 o, and 1 m when three letters picked without replacement from {y: 1, m: 6, p: 3, o: 1, f: 2}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t**2 - 2*t + 2. Let s be -4 - -2 - (-2 - -5). Let c = 3 + s. Let h be q(c). Which is greater: -1\/2 or h?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5a01 (base 14) in base 9?\nAnswer: -23453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lt when two letters picked without replacement from ntlnlvtlvnknnn?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.290249mm to meters.\nAnswer: 0.002290249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -163 + 162.8. Let y be 252\/(-105)*(-10)\/6. What is the second smallest value in z, 5\/4, -10, y?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 106*(2 + (-3)\/2). Let g = 55 - v. Suppose -4*q - 79 = -f, -g*q + 395 = 5*f + q. Is f a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n**2. Let y(r) be the third derivative of 49*r**4\/2 + 30*r**2 + 2*r. What is y(m(q))?\nAnswer: 1176*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (31\/(93\/63))\/(161\/(-414))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -69, -4, -70, -2, -3, 2.\nAnswer: -70, -69, -4, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 465932611?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 6000 = -1111. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11 and 317?\nAnswer: -3487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 962.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 276\/(-30)*(-105)\/6. Let j(i) = -759*i - 161. Let o(h) = -19*h - 4. Let k(l) = z*o(l) - 4*j(l). Let m(r) = 2*r**2. Determine m(k(n)).\nAnswer: 1058*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**2 + 24 + 33 - 57 + 2*m**2.\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-298*k - 910*k - 50*k)*(k**2 + 6 - k**3 - 6) to the form f*k + o*k**2 + p*k**3 + j*k**4 + m and give p.\nAnswer: -1258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 10 (b) 2 (c) -5 (d) 20\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.735 minus 19052082065?\nAnswer: -19052082065.735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 0 (c) -1435 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 479735 is divided by 1156?\nAnswer: 1151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.929 + 0.029. Let l = -4.5 - w. Put 0.5, 15, l in ascending order.\nAnswer: l, 0.5, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjgjjgjg. Give prob of sequence jg.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.176 in 2, 11, 2\/7, -4, -2\/91?\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -23*p**5\/5 + 2601*p**4\/5 - 26952*p**3\/5 + 97268*p**2\/5 - 120864*p\/5 + 9792\/5 = 0. What is p?\nAnswer: 2\/23, 3, 4, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 44, 4 in ascending order.\nAnswer: -5, -4, 4, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1722.\nAnswer: 2, 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of c**4\/12 - c**3\/3 + c**2\/2 - 4*c. Let z be g(1). Differentiate -f + 3 + z + 0 with respect to f.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*l - 23*l - 15 + 13)*(-40*l - 70*l + 26*l).\nAnswer: 2772*l**2 + 168*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**2\/3 - 83755*v\/3 + 893728 = 0. What is v?\nAnswer: -83787, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*h = 76168 - 76714 for h.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 121125 + 1702?\nAnswer: 122827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 + 5 - 3 - (97 + -91)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand i - i - i**4 + (-24 + 24 - 23*i)*(i**3 + 2*i**3 - i**3) + (-2 + 2 - 2*i**3)*(-4*i - 3*i + 6*i) - 52 - 14*i**4 + 52 - i**3 + i**3 + i**4.\nAnswer: -58*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 + 99*z - 2366. Is r(48) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -873, -6958, -23471, -55626, -108637, -187718?\n\"Answer: -869*q**3 - 2*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2540295 is divided by 758.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 551*j + 65. Calculate u(2).\nAnswer: 1167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 21\/12 + (-162)\/120. Which is the nearest to -2? (a) -24.3 (b) i (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -5, -1\/7, -9, -6, -2\/7, 7, -0.5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppp when three letters picked without replacement from ppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -22 and -90950.\nAnswer: -90972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 26*o**2 + 15*o. Let q(d) = 5*d**2 + 3*d. Determine -11*q(j) + 2*u(j).\nAnswer: -3*j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - (10 + -16 + 19)) + 5 + 16?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11661, 6, 4, -9, -2, 0 in descending order.\nAnswer: 6, 4, 0, -2, -9, -11661","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3170 + -3170. What is the closest to -0.1 in j, -3, -532?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76504738.\nAnswer: 2, 38252369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.5 and 100820.\nAnswer: 100820.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -417, -820, -1223?\n\"Answer: -403*f - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 616 + -615.9. Let j = -0.5 + 0.4. Sort j, 1\/9, b in decreasing order.\nAnswer: 1\/9, b, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 330, 640, 950, 1260, 1570?\nAnswer: 1880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 64037.86ml?\nAnswer: 64.03786","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -31 and 167.\nAnswer: -5177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.05 + -0.35. Let z be (1\/14)\/(7\/14). Sort x, z, -1\/3 in increasing order.\nAnswer: -1\/3, x, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -55526 * 18.\nAnswer: -999468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*f + 2*f - 23*f + 6*f + 5*f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4318 divided by -31.\nAnswer: 4318\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -231, -321, -323, -243, -87, 139?\n\"Answer: -l**3 + 50*l**2 - 233*l - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 10 = -d, 4*d + 4*j - 26 - 6 = 0. Solve 4*o - 17 = -2*g - d, 0 = -2*o + 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 20 = y + 5*j, -3*y + 15 = j. Suppose i = 5, -4*c + 37 + 4 = y*i. Solve 5*g + 36 = -c*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 4:57 AM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/1719970 and -41\/18673960.\nAnswer: 130717720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 1142928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddhxhjhhxdddhjjhhvjv. Give prob of sequence hhhv.\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -229.407 + 0.407. Let k = 229.000086 + a. What is k rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**2 + 12*x + 1. Let w be f(-6). Let v be (-55)\/15 - (-3 - w). Which is the second biggest value? (a) -0.04 (b) -4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*c - 13*c - 10*c - 3*r - 37 + 56, -2*c - 12*r = -68 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 4*p = -7, -1854 = 2*x - 5*p - 1870 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 2\/4)*(-418)\/(-285)?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36142425.\nAnswer: 3, 5, 11, 17, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 - 2*b. Let o be d(-2). Suppose -2*p = -4*i - 88, o = 4*p - 0*p + 2*i - 216. Is 26 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 27*k - 428. Let s be a(16). Suppose -s*t + l = -15 - 221, -295 = -5*t + 3*l. What is the remainder when t is divided by 19?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 255 - 86 - 92 + 4*c - 93. Determine v(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m - 4*v + 4, -52 = 4*v - 64 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + 6*j**2 - 2*j + 19. Let w be l(-6). Suppose -4*y - 4*f = y - w, -y - 5*f = -23. Suppose 1 + y = h. Sort -2, 0, h in ascending order.\nAnswer: -2, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/((-6)\/(-63))*-6*(-15)\/(-135). Let x(k) = k - 3 + 20*k + 4*k. List the prime factors of x(y).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-114)\/24 + 5)*32\/40?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*k - 18*k - 50 - 33*k + 0*k wrt k.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132347?\nAnswer: 132347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32 + -29. Let g(q) = -q**2 - 3*q + 1. Let f(r) be the second derivative of r**4\/12 + r**3\/6 - r**2\/2 + 2*r. Determine t*f(o) + g(o).\nAnswer: 2*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4938631901?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/4))**(2\/17))**(-20) assuming u is positive.\nAnswer: u**(10\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 171564996 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29875 + -29863. Calculate the remainder when 580 is divided by f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = -5*b - 14, 0 = -3*b - 113*j + 14*j + 97*j - 8 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 4*g = 4, 0 = -3*b - 249*g + 251*g - 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - 3*x + 2. Let q be n(0). Solve 2*a = q + 6 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**2 - 17*p + 61. Calculate v(8).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3049?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7128 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 7) to base 3.\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00009848561 to seven decimal places.\nAnswer: -0.0000985","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2852*i = 2860*i - 296. Solve 11*z + 4 = i for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.611 less than 99.575897?\nAnswer: 109.186897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31690*n = 63393*n - 31696*n - 5*r - 4, -5*n + 4*r + 2 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-542)\/26 - 8\/52. Let h = -16 - b. Let f(g) = g**3 - 7*g**2 + 9*g + 7. Let u be f(h). Solve 5*x = -4*p - 16, -2*p + 4 = u*p for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 112470 and 2208.\nAnswer: 1799520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*p - 3608 = 61*p + 4*x, 0 = 4*x + 12. What are the prime factors of p?\nAnswer: 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2814.326 decades?\nAnswer: 281.4326","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 55 + -33. Let m(b) = -b**3 + 3*b**2 + 4*b + 10. Let o be m(5). Let d = o + 24. Calculate the smallest common multiple of d and s.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 4*l = -4*g - 75, -g + 4*l - 91 = 0. Let b = g + 418\/5. Is 1 greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-15)\/(-12)*(0 - -4). Suppose -5*q = -2*r - 465, 2*r - 469 + 4 = -o*q. Suppose 5*g - q - 22 = 0. Is g a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 132*j - 3. Let l(a) = -264*a + 5. Determine -3*l(i) - 5*t(i).\nAnswer: 132*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -6*p + 4. Let y be u(-5). Let l be y\/6 - 2\/3. Let a be (l\/(-4))\/(2\/(-40)). Calculate the greatest common factor of a and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r - 14 = -16*r. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3750083537 + 40*s + 3750083537.\nAnswer: 40*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/399, -4, 0.065, 0.4, 2\/11?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/2)\/((-2)\/516). List the prime factors of (-5 - k)*(-2)\/(-8).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*o - 3*o - o)*(-119*o - o - 120*o + 66*o) to the form p*o + s*o**2 + w and give s.\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*-7*(-103 - -104). Let l(f) be the second derivative of -5*f**3\/6 - 4*f**2 + 2*f. Is 27 a factor of l(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -6. Suppose 2*h - 4 = 2*v + 22, 5*h = -3*v + 81. Sort -2, y, h in decreasing order.\nAnswer: h, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32 is divided by 2\/15 - (-534)\/45?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dxnd when four letters picked without replacement from {d: 2, n: 5, x: 7}?\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 806231 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55949678.\nAnswer: 2, 3449, 8111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -165 (base 11) to base 8.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of -l**5\/60 + l**4\/4 + l**3\/2 - 5*l**2. Let m be t(5). Suppose 0*z - 4*z = -m. Solve z*q = -0*q - 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 74*l - 70*l - 7 = 0, -5*n - 2*l = 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1285\/2*y - 1\/4*y**2 - 1651225\/4.\nAnswer: -(y - 1285)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + -10110001101101010?\nAnswer: -10110001101101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -138 (b) -4\/5 (c) 0.39 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/60*-9*26\/12012*7.\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.1 - -0.1. Suppose 3*m - 4 + 0 = l, -4*l - 5*m + 1 = 0. Which is the closest to -0.1? (a) l (b) h (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 6*m**2 - 8*m + 12. Let d be c(3). Is (-2 + -1)*d\/63 - -6145 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z = -830 + 930. Let i(r) = 5*r**3 - r**2 - r - 1. Let v be i(-1). Let t be (5\/(-15))\/(2\/v). Sort z, t, -5, 5 in ascending order.\nAnswer: -5, t, 5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*u - 2*y, -3*u - y + 5 - 3 = 0. Sort 3, -6, u in ascending order.\nAnswer: -6, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 + -4 - 19792)*1\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2*i = -4*d, d + i - 9 = 0. Let v be -3*1*2\/d. Let j be 1 + -2 + v - -3. Solve h = -2 + j for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 21476 + 1336a?\nAnswer: 34824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2592329.99 less than 0.8?\nAnswer: -2592329.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 9. Suppose -2*p = s*f + 2*p, -32 = 5*f - 4*p. What are the prime factors of f*(3 - (-148)\/(-16))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 + 1)\/((-1)\/2). Let q be (-2)\/n + (-35)\/(-14). What is the remainder when 9 is divided by q\/(-10) - 31\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 54.5 + -54. Let y be ((-10)\/40)\/(10\/24). Let n = 1\/15 - y. Which is the smallest value? (a) -0.4 (b) t (c) -2\/13 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -187.79 and -23.6.\nAnswer: -211.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.1, 1\/4, -154.7, 173, 2, -3?\nAnswer: -154.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 796029252 is divided by 5145?\nAnswer: 5142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 - 0.4?\nAnswer: -56.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*b + 5. Suppose 0 = -b*q + 2*q + 20. What is the greatest common divisor of 5 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 11\/8 of a meter?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 4. Suppose w*o - 12 = o. Suppose 4*i - o*i = 9. Solve 0 = -g - 2*g + i for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 - -88373655310527?\nAnswer: 88373655310526.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 926086 to the nearest integer?\nAnswer: 962","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11\/6 in 2\/17, 2473, -2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/17, 0, 21, 164.5, -2\/7, 36?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-227 - -146) + 133 + -50?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -3*v + 4. Let h(g) = -33*g**2. Determine z(h(j)).\nAnswer: 99*j**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 139025592 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 40*i**2 + 2*i. Let u be m(2). Suppose 0 = -4*v - 4 + u. Is v + -1 + 2 - 3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -4*l - 26, 0 = 2*l + 2*l - 4*y + 32. Let k be -2 + 38 - (-18)\/l. What is the greatest common divisor of 22 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 5*j - 5*j)*(6*j - 23*j + 20 + 11*j).\nAnswer: 12*j**2 - 40*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2159511 is divided by 359907?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**4 + 2*x**4 + 0*x**4 + (-2*x - 1 + 1)*(3*x**3 - 3*x**3 - 3*x**3) + (4 + 0 + 3)*(-8*x + 4*x - 5*x + (0 - 2 + 4)*(1 - 1 + x))*(x**2 - x**3 - x**2).\nAnswer: 58*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzozzzozzzzbbbzz. Give prob of picking 1 o and 1 b.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 3) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4275 - -4275. Solve -11*f + 35*f - 48 = y for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 + 144 = 43*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 5) in base 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 3, 3873 in decreasing order.\nAnswer: 3873, 3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 5*f**2 + f + 1. Let h be y(5). Let b = h - 21. Let t = -7 - b. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 t, and 2 f when four letters picked without replacement from zzvtfzzzttutftvv.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {r: 7, h: 2}?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 3:40 PM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 15) to base 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 777 = -h, -2406 = -3*h - 3*s - 0*s. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*t**2 + 5040*t - 5038*t + t**2 - 46 to k*t + d*t**2 + b and give b.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*-6)\/(680\/(-68))*1\/(-3)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -5\/7, -2, -0.06, 0.4?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/26? (a) 3\/2 (b) 3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (75*n**2 - 308*n + 308*n)*(-3 - 1 + 3) + (4*n - 3*n + 0*n)*(-2*n + 0*n + 4*n).\nAnswer: -73*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1764)\/288 + 11 + -3. Which is the nearest to 0.2? (a) 0.1 (b) g (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = -11*o - 11. Let w(c) = 78*c**2 + 646*c - 722. Let r(d) = -d**3 + 236*d**2 + 1938*d - 2166. Let p(l) = o*w(l) - 2*r(l). Factor p(z).\nAnswer: 2*(z - 1)*(z + 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*q - 144*q + 48*q + 591 + 45*q.\nAnswer: 11*q + 591","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cgic. What is prob of picking 1 g and 1 i?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13601116 is divided by 850067?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 1. Which is the third smallest value? (a) l (b) -0.09 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 11*h**2 + 166*h + 3. Let y(i) = -3*i**2 - 1. Calculate -w(m) - 4*y(m).\nAnswer: m**2 - 166*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 - 2.3. Suppose 7*v - 2*v = 80. Suppose m + 3*m = -v. Sort m, j, 0.09 in increasing order.\nAnswer: m, j, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1040442331 - -1?\nAnswer: 1040442332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1380.0581 - 1380. Which is the second biggest value? (a) -3 (b) -3\/7 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-1 - ((-3 - -1) + 1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27) + 2 + -2.\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 2*j = -5*l + 22, -14 = 3*j - l for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a hour in seconds?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of -5*s**3\/6 - 3*s**2\/2 + 11*s. Let q(j) = -5*j - 3. Let m(u) = 3*q(u) - 4*v(u). Let l(g) = -5*g - 2. Give 3*l(k) + 2*m(k).\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -5*i + 29, 0 = o + 3 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*i - 74*i = c + 27, 0 = 2*c - 2. Calculate the least common multiple of 46 and i.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirty-four fifths of a millimeter?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-5) - 7\/(-5). Let v be (4\/9)\/(8*(-9)\/(-324)). Let u(s) = 2*s**3 + s**3 - s + 8*s**3 - 16*s**3 + 1 + v*s**3. Give u(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62926, 126928, 190882, 254782, 318622, 382396, 446098?\nAnswer: 509722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a5 (base 11) in base 8?\nAnswer: -354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 - 9*y + 1. Let p be x(-7). Let g(q) = 3*q - 8. Let o be g(9). Let d be (-3)\/(-15) - o\/(-5). Solve -5*s = -3*u - d, s = -4*u - 2*s - p for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-9))\/((-132)\/15444).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t**2. Let b = -10 + 13. Let r(n) be the first derivative of 2\/3*n**b + 0*n**2 + 0*n + 2. What is r(l(x))?\nAnswer: 8*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/50 of a millisecond?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate b*y**2 - 34*b*y + 1207*y**2 with respect to b.\nAnswer: y**2 - 34*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -4\/9 + 46\/9*q**2 + 146\/9*q**3 - 38\/3*q**4 - 74\/9*q = 0.\nAnswer: -2\/3, -1\/19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22\/9 + -92\/45. Which is the closest to j? (a) -3 (b) 4 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nknsenanaaand. Give prob of picking 1 d and 2 a.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -2\/25, -3, 9\/4, 5, -264, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, k: 4, y: 4, u: 9, q: 2}. What is prob of picking 2 q and 1 u?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*c*n**3 + 5*c*n + 1905815*c*t + n**3 + 514910*n**2*t - n wrt c?\nAnswer: -2*n**3 + 5*n + 1905815*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.01, -0.3, -0.6, 1?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 92. Suppose -r = -g - 9. Calculate the remainder when g is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7070810771 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1867 + 1869. Let z(q) = -q - 6. Let c be z(-6). Suppose c*n = 2*n + t*u - 194, 3*u = -9. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -1\/86, -122?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -15*r - 4. Let z(w) = -8*w - 2. Suppose -103*f + 92*f = -44. Suppose 0 = 5*x + p + 33, -f*x + 2*p - 32 + 14 = 0. Calculate x*o(a) + 11*z(a).\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22345 - -129.77.\nAnswer: -22215.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a kilogram in grams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9361 to the power of 1\/2, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3*x + 5)*(-5*x**2 + 0*x**2 - x**2).\nAnswer: -18*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from eiiee.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 170 a factor of 63240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 13*y + 69 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4619399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of 5*i**4\/4 - 10*i**3 + 1. What is t in r(t) = 0?\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 - 8*u + 5. Let l(j) = -j**2 + j. Let q(c) = a(c) + 2*l(c). Let p(k) = -k**2 + 4*k - 1. Let z be p(5). What are the prime factors of q(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from leeeleelee?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -v + 40 + 15, -5*p + 110 = -2*v. Does 5 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -16*z + 63 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + 33001\nAnswer: 33000.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of x**8\/168 + 7*x**5\/60 + 4*x**2. What is the third derivative of n(o) wrt o?\nAnswer: 120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*n + 2992 = -102*n for n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -1763 and -5290\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17576 and 104.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddzdddzzzzzdzzzzdzdd. Give prob of sequence zzd.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 - 5*b + 4. Let t be s(-5). Let g(q) = -q**2 - 4*q - 5. Let v be g(-3). Put v, t, 0 in increasing order.\nAnswer: v, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 0.013894.\nAnswer: -0.06947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -17\/4. Sort -4, h, -0.3 in decreasing order.\nAnswer: h, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) 18 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8387041.\nAnswer: 13, 241, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence daad when four letters picked without replacement from aaaaaadaaaddad.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q - 3*q + q + 15*q**2 as g + l*q + m*q**2 and give m.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 50.49 - 82.3. Let a = y - 0.19. Let m = a - -32.0065. What is m rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1826, -3648, -5470, -7292?\nAnswer: -9114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 903892 and 605.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**1)**(2\/5)\/(p\/(p**(4\/9)\/p)*p*p)**(-24))**(-5\/4) assuming p is positive.\nAnswer: p**(-643\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/17 >= -112?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -364 + 615161?\nAnswer: 614464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 a when two letters picked without replacement from {a: 2, j: 2, f: 8, u: 3}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 207 = -11*y. Does 14 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/78 and -155\/2652.\nAnswer: 2652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 0*m - 7*o = -72, 50 - 63 = 2*m - 5*o + 38 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 490 and 104230.\nAnswer: 729610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 16\/(-3)*(-33)\/(-22) - -6 - 476. What is n rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -2 (c) 0.4 (d) 324 (e) -8 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 991443407 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 273.7528 microseconds to nanoseconds.\nAnswer: 273752.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166*r + 159*r + 28 = 0. Let b(k) = 13*k**3 + 3*k**2 + 4*k + 3. Is 7 a factor of b(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3063523 (base 7) to base 8.\nAnswer: -1320004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5594*p = 2282*p + 362296 for p.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2476 + 2626 = -15*r for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21 + 9 - -4) + -10?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o + 7 = o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 1815414\nAnswer: -5\/1815414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n - 1. Let z be q(-5). Suppose 0 = f - z - 6. Let j = f - 7. Does 3 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68429 take away -2?\nAnswer: -68427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 320 (base 9) to base 2\nAnswer: 100000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 155 and 197.465.\nAnswer: 30607.075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -158656.4177 to the nearest one thousand.\nAnswer: -159000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 196482 and 3432.\nAnswer: 785928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -168473113359 - -168473113726.999998385. Let b = 368 - i. Round b to seven dps.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 14*x**3 - 212020*x**2 + 696498*x - 181692 = 0?\nAnswer: 2\/7, 3, 15141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of -i**3 - 3*i**2\/2 - 172. Factor d(o).\nAnswer: -3*o*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/(-10)*(-39 + 4). Suppose -2*s + 25 = 3*s. Suppose -7 = -s*g + v. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of 7*q**6\/30 - q**2 - 8*q. Differentiate z(m) wrt m.\nAnswer: 28*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -81\/2*f**2 - 15*f**3 - 3\/4*f**4 - 39*f - 51\/4 = 0.\nAnswer: -17, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, 12, 0.014, -2, 58, -1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of -i**3\/3 + 3*i**2\/2 + 6*i + 4. Let v be h(4). What is the derivative of 8*f**3 + 3*f**2 + 6*f**2 - 6 - 9*f**v wrt f?\nAnswer: 24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - 2*(-3 - 0)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 5:53 AM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*m**2 + m - m - 61*m**2 as i + a*m**2 + o*m and give a.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2361\/8 - -30357\/104. Are -4 and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h. Let u(r) = -3*r - 1657. Let s(t) = 2*t + 1664. Let m(l) = -5*s(l) - 4*u(l). Give c(m(g)).\nAnswer: -2*g + 1692","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y**2 + y + 8. Let t(x) = -23*x**3 - 10*x**2 - 5*x - 180. Calculate -5*g(z) - t(z).\nAnswer: 23*z**3 + 140","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 6, a: 3, b: 6}. Give prob of picking 3 b.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 956226?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*m - 5*t + 4977 - 4948, 5*m = -2*t + 9 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 PM and 6:56 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 27936178937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 7*c + 3. Let z(g) = -g + 1. Let q(x) = -4*x - 4. Suppose d + f = 2 - 1, 3*f + 13 = 5*d. Let w(r) = d*z(r) + q(r). What is 5*t(o) + 6*w(o)?\nAnswer: -o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -5*c**3 + 4*c**2 - 4*c + 7. Let s(g) = 14*g**3 - 11*g**2 + 11*g - 20. Give -11*n(i) - 4*s(i).\nAnswer: -i**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-23)\/(-7) - 2\/7. Let w(r) = 3*r**3 + r**2 - 6*r**3 + r - 8*r**o. Is w(-1) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of 5*o**4\/12 - 10*o**3\/3 + 10*o**2 - 15*o - 47. Let g(b) be the first derivative of x(b). Factor g(v).\nAnswer: 5*(v - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/1895 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 17*n**2 - 34*n - 48. Let g be j(19). Suppose 3*c = 3*o - 54, -17 - 41 = -3*o + 4*c. Calculate the greatest common factor of g and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -2*o**4\/13 + 432*o**3\/13 - 6022*o**2\/13 - 1728*o\/13 + 24120\/13 = 0.\nAnswer: -2, 2, 15, 201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 152872519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -224153518*r**4 - 78701979?\nAnswer: -896614072*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9\/12)\/((-1)\/(-2)). Let c = 1.4 - 0.8. Let r = c + -0.4. What is the second biggest value in 1\/10, j, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -523, -1042, -1583, -2158, -2779, -3458, -4207?\nAnswer: -5038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1248)\/(-40))\/13)\/((-150)\/(-875)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 78\/26 + -6 + -3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**2\/11 + 189592*r\/11 - 4359558\/11 = 0 for r.\nAnswer: 23, 94773","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + 0 + (-5)\/7. Let n = 7.009 + -6.909. Which is the nearest to n? (a) g (b) -3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15 - 8 - (-1 + 2). Solve -2*m = r + r, 5*r = -2*m - k for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-67)\/670*(-134)\/1)\/(32\/(-160)).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**2 + 3*n**2 - 4*n**2 + (2 - 5 + 1)*(n**2 + 0*n**2 + 0*n**2) - 22 + 22 + 4*n**2 - 2*n**2 + 0*n + 0*n.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**5\/5 + 1221*w**4\/5 - 72670*w**3 - 5770884*w**2\/5 + 12985416*w\/5 = 0. What is w?\nAnswer: -17, 0, 2, 618","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-38 - -84) + 35 + (-2 - -10)?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -442 - -1?\nAnswer: -441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - 0)*(-2)\/4. Let f = 573488 + 6626512. Suppose r = -0*k - 4*k + f. Round k to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 1920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/4)\/(8\/(-48)). Let x be (-10 - -10) + (n - 1). Solve -x = r - 3*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.107 - 9.107. What is the nearest to o in -1, -0.2, 22, 1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218547 is divided by 465?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 19. Let d = 50 - 45. Let y = m - d. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of 0*b**3 + 0*b + 0*b**5 - 6*b**2 + 1\/24*b**4 + 0 - 1\/70*b**7 + 0*b**6. Find the second derivative of o(l) wrt l.\nAnswer: -36*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 41 and 244421459?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (612\/408)\/(((-4)\/(24\/30))\/16).\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4608 divided by -384\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 801 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, -0.3, 3065, -1\/7, 4, 0.2, 2\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y + 2*y + y)*(3 - y - 3) + (-3 + 2 + 3)*(-4*y**2 - 3*y**2 + 0*y**2) - 6*y**2 + 3*y**2 - 3*y**2 - 4 + 4 + 2*y**2 + (-2 - 1 + 2)*(-y**2 - 1 + 1).\nAnswer: -15*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 30 + -203?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 86519328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 404 = 2*o, 4*u = 3*o + 129 - 714. Let t = 91 - o. Is 1\/((-2)\/t) - 1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106316?\nAnswer: 2, 7, 3797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 39*j + 1108. Let q be f(-28). Solve 4*n + q*n = -120 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -9. Suppose -2*w + y = -125. What is the greatest common factor of w and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 3:44 PM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10\/(-3))\/2 + 1. Suppose 3*o + 6*k = 10*k - 7, -4*o = -2*k + 16. Let w be (-30)\/(-24) + 2 + o. Does w = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10428 divided by 3476\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2842?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-1 + (1 - -3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -13. Let t = -5.2 + u. Is 0.1 < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.30268 + 0.07268. Which is the nearest to 2? (a) 1\/4 (b) -1\/3 (c) -0.1 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 18*i**3 - 2*i**2 - 5*i + 6. Let r be 0 - 1 - (3608\/(-44))\/41. Calculate v(r).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -58340 (base 9) to base 14\nAnswer: -1027a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -45 + 41. Is (-6)\/d + (-599)\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 0, 3, -28, -34 in increasing order.\nAnswer: -34, -28, -9, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 95, 89, 93, 113, 155, 225?\n\"Answer: l**3 - l**2 - 10*l + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5}. What is prob of picking 3 a?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49155, -104763, -160371, -215979, -271587, -327195?\nAnswer: -382803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 687 - j - 2*j - 579 + 2*j - 7*j + 0*j + 8*j + 4*j - 3*j - 2*j - j - 3*j + 2*j + (4 - 2 + 0)*(-2*j - 1 + 1) + 2 - j - 2.\nAnswer: -8*j + 108","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three eighths of a litre in millilitres?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -246*t - 239*t + 496*t = 319 for t.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -442 (base 6) to base 12\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10777)\/(-26) + 16 - 6\/4. What is the greatest common divisor of 221 and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 + 2*k. Let y be o(1). Let s be (235\/(5\/1))\/(y\/7). Let c = s - 220. Does 19 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 1302, 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1284 and 77292.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -15 * -5501.281\nAnswer: 82519.215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, r: 4, q: 2}. Give prob of picking 1 r and 1 q.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 21\/(-56) + 1254\/16. What is the common denominator of ((-13)\/f)\/(219\/(-675)) and -35\/22?\nAnswer: 1606","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -13. Suppose n*w + 2 = -6. Does 12 divide (-12)\/7*(w + -5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -0.8, 3, 1\/7, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 888?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/((-2)\/(-3)*3). Let w = v + 0. Let g(b) = 3*b + 1. Is g(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 12:54 AM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + q + 101 = 0, -11*d - 3*q + 8*q = -14*d + 145 for d.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.302984 to two decimal places.\nAnswer: -18.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -8813, -8818, -8823, -8828, -8833, -8838?\n\"Answer: -5*q - 8808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 15746.9212 rounded to the nearest integer?\nAnswer: 15747","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) 4 (c) -0.27 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -8*j**2 - 3. Let k(r) = -29575*r. Calculate p(k(f)).\nAnswer: -6997445000*f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1353873, 1353870, 1353865, 1353858?\nAnswer: 1353849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 906330*l**3 - 78726*l**2?\nAnswer: 5437980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 3, 1, -1, 5066, 5.\nAnswer: -1, 1, 3, 5, 11, 5066","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 5:58 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -10*n + 3. Let z(g) = -28*g + 10625 + 99*g + 150*g - 10690. What is 65*x(w) + 3*z(w)?\nAnswer: 13*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -113? (a) 0.5 (b) 4\/3 (c) -5 (d) -1\/6 (e) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i - 10 + 10)*(3*i**2 - 2 + 1 + 0)*(0*i**2 - 7*i**2 + 11*i**2).\nAnswer: -36*i**5 + 12*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2698061 (base 11) to base 4.\nAnswer: 101233232020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(272)*1 - sqrt(272)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 - -0.2. Let t = 1.7 - 2.9. Let d = t + 0.7. What is the closest to x in -4, -3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 5. Let o be j*(2 + (-1 - 1)). Suppose 4*q = 5*g - 2, o = g - 3*g + q - 1. Which is smaller: -3\/4 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6*2 + (-18)\/6. Suppose -q = n - 6*n + 15, 0 = -3*n + d. Is 110*5\/(10 + q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1947 - -1946.5. Put 4, h, -4\/9, 1\/4 in descending order.\nAnswer: 4, 1\/4, -4\/9, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 38 and 19?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(-1)\/2*1\/1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-288)\/(-12))\/24*16\/(-18).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 9*y + 4. Let v(m) = -m**3 - m**2 + 9*m + 4. Let s(a) = 5*i(a) - 6*v(a). Let p be s(-7). Let t = p + -5. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 44, 45, -7, 5?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1715940 (b) -2\/11 (c) 3 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 119*z**2 + z - 2. Calculate the remainder when u(-2) is divided by 79.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1454926380 to the power of 1\/2, to the nearest integer?\nAnswer: 38143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -39, -21, 43, 177, 405, 751, 1239?\n\"Answer: 4*s**3 - s**2 - 7*s - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/13? (a) 4\/5 (b) 3\/4 (c) 0.05 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 5 (c) 54 (d) 0.027\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c + 84. What is the hundreds digit of p(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 145 (base 9) to base 8.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of 4*d**6\/45 + 7*d**5\/30 + d**4\/9 - d**3\/9 - 3*d + 6. Factor n(m).\nAnswer: 2*m*(m + 1)**2*(4*m - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 * 0.2167\nAnswer: -5.6342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7630589 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12378?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 106292?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1425 is divided by 473?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of q**2*r + 45010691*q**2 + 33*q*r + 8*r + 280 wrt q.\nAnswer: 2*r + 90021382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4110 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**3 + 14*c**2 + 2*c + 1. Let f be g(-7). Let q(y) = y**2 + 8*y - 61. Let u be q(f). Solve -5*x + 35 = 2*o - 4*o, u*x - 40 = 4*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1118 and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - 4*h + h)*(-2 - 2 + 2)*(0 - 1 + 6).\nAnswer: 40*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 13*x - 32084 = 151428. Does 232 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2680)\/(-5628)*99\/15\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 5*b - 5*b + b**2. Let m(x) = 6*x**2. Let c(g) = m(g) - 8*w(g). Let v(r) be the third derivative of 5*r**4\/24 + 2*r**2. Calculate v(c(u)).\nAnswer: -10*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrkr when four letters picked without replacement from {w: 1, r: 5, v: 1, k: 3}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 - -25. Suppose a - 32 = -2*u + l*a, 4*u - 61 = 3*a. Is u a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -157, -638, -1445, -2578?\n\"Answer: -163*p**2 + 8*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*p - 139*p = -1320 - 2472 for p.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ui when two letters picked without replacement from {q: 9, i: 3, u: 2, t: 3}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 7*v + 5*m + 7, 2*m + 4 = 2*v. Suppose -5 - 10 = v*y. Let o = y + 15. Calculate the remainder when 18 is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**2 + 5608*j - 152145 = 0. Calculate j.\nAnswer: -5635, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**4\/w)\/w)**4)**(-21\/8) assuming w is positive.\nAnswer: w**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 434*d - 173. Is b(14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of -3*b**4\/4 - b**3 + 5*b**2\/2 + b + 1987. Let y be 2\/6 - (-13)\/(-3). What is the units digit of d(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-1)\/(((c*c\/(c\/(c**(2\/13)*c)))\/c*c)\/c)*c**(-1)*c**(1\/2)*c*(c\/c**(-2\/3)*c\/(c**(-7)*c))**(-50) assuming c is positive.\nAnswer: c**(-33929\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 2. Let n = 7 - 9.2. Let s = 2 + n. Which is the smallest value? (a) d (b) s (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3015975, -6031952, -9047929, -12063906, -15079883, -18095860?\n\"Answer: -3015977*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + 6*y + 1. Suppose s = 1 - 7. Let f be a(s). Sort 0, -4, f in decreasing order.\nAnswer: f, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2996 and 15132404.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 + 4*n + 1. Let g be b(3). Suppose z + 0*z - g = 0. What is the second derivative of -2*y**2 + 3*y - 5*y + 2*y**2 + z*y**3 wrt y?\nAnswer: 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + -2 + -2 + 4. Let v be 1\/(-2)*(-20)\/u. Sort v, 3, -3 in decreasing order.\nAnswer: 3, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 4:37 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 - 5?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 205 or 876349?\nAnswer: 876349","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 4*q - 1421, 3*v - 5*v = 4*q - 1446. Let p = q - 255. Suppose 0 = 14*t - 10*t - p. What is the greatest common factor of t and 286?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of -b**6\/120 + b**5\/12 + 5*b**3\/6 - 20*b**2. What is f(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -5*i - 4, 0 = -3*i + 5*d - 430 + 425 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-28)*(826\/35 - 10 - 14))\/9?\nAnswer: -1\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: a5 (base 14) to base 13\nAnswer: b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -99389 and -4.\nAnswer: 397556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 3*q + 105. Let y = -14 - q. Suppose -3*v + y = -38. What are the prime factors of v?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 55*h**2 + 14. Let g(z) = z. Give g(q(n)).\nAnswer: 55*n**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is a3a (base 11) in base 2?\nAnswer: 10011100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dw when two letters picked without replacement from {f: 2, t: 3, w: 1, d: 1, m: 4, q: 4}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2031353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 8*o**2 - 2*o + 12. Let a = -27 - -22. Let k(s) = -13*s**2 + 3*s - 19. Let n(f) = a*k(f) - 8*y(f). Give n(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - 0.669831734?\nAnswer: -0.569831734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 + 12*x - 13. Let i be d(-13). Suppose 0 = -35*n - i*n + 14945. Is 10 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mrm when three letters picked without replacement from {m: 7, r: 9}.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 326, 937, 2326, 4799, 8662, 14221, 21782, 31651?\nAnswer: 44134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.8, 2\/3, 7, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 12585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 - 6*q**2 - 5*q - 3. Let b be 5\/(10\/(-4))*2. Calculate r(b).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -455 (base 13) to base 6\nAnswer: -3242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 541355 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/15 + 23\/40)*14\/21?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21637 + 38802. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -389 - -622. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 1 - 1 - 3 + 1 + 4 + (-5 - 1 + 4)*(3 + 0 - 1) + 3 - 4 + 3 - 3 + 2 + 3)*(t - 4*t + 5*t)*(6*t - 16*t + 13*t) to u*t + c + g*t**2 and give g.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + 0 + 378\/(-14). Let s = w - -25. Let l(i) = -2*i**2 + i - 1. Determine l(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00419095179 to four dps.\nAnswer: -0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -238805 = -19*f - 16*f. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.13? (a) 0.3 (b) 0.2031 (c) -1 (d) -1\/2 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20540821 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-10)\/3)\/((-6)\/9). Suppose 0 = -h*u + 16 + 4. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -50 - -58. Suppose -2*c - 1 - 1 = 0. Which is smaller: y or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 981062196 to the power of 1\/2, to the nearest integer?\nAnswer: 31322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/15)*((c\/(c\/(c**9\/c)))\/c)\/c)**(1\/37)*c**(-4)\/((c*c*((c**(-2\/9)\/c)\/c)\/c)\/c)*c*(c**(-7\/5)*c)\/c*c*c*c**(-1\/12)\/c assuming c is positive.\nAnswer: c**(-7331\/6660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 7*l**2 + 14*l - 4. Let s be f(-3). Suppose -5*i - s = 3*j, -2*i + i - 4*j - 17 = 0. Which is the smallest value? (a) -3\/7 (b) -4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 2)\/((-304)\/(-760))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12976?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 2 - (1 - (3 + -5))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 7*x. Let o(w) = -34 - 36*w**2 + 75 - 41. Calculate o(t(z)).\nAnswer: -1764*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 2*o = -3*b + 6, -o - 5*b = -8. Let q be (31 - 10) + 3 + (3 - 7). Find the first derivative of 2*p - 2*p + 9*p + o*p - q wrt p.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51340, 51327, 51306, 51277?\nAnswer: 51240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddtt when four letters picked without replacement from {d: 9, t: 10}?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 544 - 158 = 0. What is the units digit of ((-1)\/((-15)\/k))\/(2\/10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 40*o - 140. Give d(3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 312574 to the nearest integer?\nAnswer: 559","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.05 and -0.063?\nAnswer: -0.00315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((6*3*sqrt(84) + sqrt(84) - sqrt(84)) + sqrt(84))*2)\/(sqrt(1728) + (sqrt(1728) - sqrt(1728)*4 - sqrt(1728)) + sqrt(1728) - sqrt(588)*1).\nAnswer: 76*sqrt(7)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 17052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*z - 246 - 96 = 0 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -4*f**2 - 9*f + 3*f**3 + 3 + 17*f**2 - 4*f**2 - 4*f**3. What is k(8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7\/14)\/(1\/(-2))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 772\/33 - 184\/11. Let z(g) be the first derivative of -8\/3*g + m*g**2 + 1 - 50\/9*g**3. Let z(d) = 0. Calculate d.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = p - 5*j + 2, 4*j = -8. Suppose 4 + 1 = -s, 0 = p*o + 5*s + 84425. What is o rounded to the nearest one thousand?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 o when two letters picked without replacement from cipbbpiiiboiiribicbo?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 175 - 109. Let f = z - 29. Let q = -35 + f. Calculate the highest common divisor of 2 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-6)\/p**(-2\/9))**50 assuming p is positive.\nAnswer: p**(-2600\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - -1 - (3 + (8 - 8)) - (-1022 + 1060).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5275065 and 95?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a. Let d(l) = 94908013*l**2. Calculate c(d(y)).\nAnswer: 94908013*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 787549 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -29\/25?\nAnswer: -29\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 - (34 + -39 + -16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1095 divide 943280085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h**3 - 21504 - 16*h**3 - 15*h**3 + 21504 + 6*h**3.\nAnswer: -20*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 divided by -429.\nAnswer: -25\/429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m**2 + 1 + 2*m**2 - 3 + 171*m**3 - 205*m**3 - 259*m**3.\nAnswer: -293*m**3 - m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3159683*a**6 - 642*a**2 + 1686*a.\nAnswer: 379161960*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*x + 5*x - x - 2*x)*(6 + 6 - 6)*(4*x + 8*x**2 - 4*x) to t*x**3 + j*x**2 + z + q*x and give t.\nAnswer: 384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5*((-264)\/(-5))\/(-4). Suppose -w + 5*x = -0*w - t, 0 = -5*w + 5*x + 370. Suppose v = -5*f + 94, -2*f + 6*f + v = w. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23.73 - 23.68. Let g = 0 + -0.2. Let z = 0.2 + g. What is the closest to l in 1, z, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -0.2, -2, -1\/16.\nAnswer: -2, -0.4, -0.2, -1\/16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 17 - -827227?\nAnswer: 827245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -861 - -4208\/5. Which is the second smallest value? (a) -0.3 (b) v (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*2\/(-60)*-21. Is x greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -13754.\nAnswer: -5501.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(88) + 1*sqrt(88)))\/((sqrt(8) - (sqrt(32) + sqrt(8)))*6))**2.\nAnswer: 11\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26 by 13.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 42 - 29. What is the second biggest value in -5, 2\/13, p?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/3780 and -13\/66360.\nAnswer: 597240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -15. Suppose -4*z - 5 = 5*a, -4*z - 4*a = -0*z. Let o = -2 + z. Put o, b, -5 in descending order.\nAnswer: b, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/10)\/l)\/l**1*l**(2\/7)*l**(-2))\/((l**(2\/9)\/l)\/l**(1\/2))**4 assuming l is positive.\nAnswer: l**(817\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 39752877 to the power of 1\/2, to the nearest integer?\nAnswer: 6305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1051?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16600340.\nAnswer: 2, 5, 830017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6161 by -26.\nAnswer: -6161\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 46?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**2 + 74*w - 655. Let z be g(22). Solve -z = -s - 4*d, -4*s - 5*d + 20 = -10*d for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171141691 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 9}. What is prob of sequence mmmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t - 2*b + 18 = -16*t, 4*t + 5*b = -24. Let n(v) be the third derivative of v**5\/30 + v**4\/3 - 2*v**3\/3 + v**2. Determine n(t).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (-4 - -4 - 16)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of -b**7\/1260 - b**5\/12 - 7*b**4\/24 - 2*b**2. Let s(c) be the second derivative of y(c). Differentiate s(v) wrt v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2488279 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 100*t**2 + 290*t - 87. Determine p(-97).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 20 = x - 89, x - 59 = -5*p. Suppose x = 2*b + 14*y - 13*y, 3*b - 86 = y. Is 14 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 726405 and 5925?\nAnswer: 1185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 71504\/18322900*(25 + 0)?\nAnswer: 4\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - n - 3*s - 40 = 0, 3*s - 98 = -4*n. Suppose -3*b + 5*v = v - n, 0 = -4*v - 20. Are b and 17\/8 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 663825*n**4 - 186*n**2 - 620*n wrt n.\nAnswer: 15931800*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/27 and 11\/(-33) + (-11)\/(-30).\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30 - 30. Let a(x) = x**2 - 5. Let u be (-56)\/(-21) + (-1)\/(-3). Let s be a(u). Solve t = s*q - 9*q + 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 3*r - 7*r - 225, -5*r + 4*m - 312 = 0. Let a = r + 115. Calculate the highest common divisor of 5 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 3\/8, -7, -3\/5?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62743 - 62743 - 926*r.\nAnswer: -926*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 91 = -4*j - j, 0 = -4*j + i + 77. Factor -8*r**2 - 35 - 40*r + 23*r**2 - j*r**2.\nAnswer: -5*(r + 1)*(r + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184608504?\nAnswer: 2, 3, 109, 7841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*((s*s\/(s\/s**(-2\/19)*s))\/s)\/s)\/s*s**(-1\/5))\/((s*s\/(s*(s\/(s*((s**(-4\/3)*s)\/s)\/s))\/s))\/s*s**(1\/22)) assuming s is positive.\nAnswer: s**(-6379\/6270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n\/((n\/(n*((n**(-1)*n)\/n)\/n))\/n)*n\/(n\/(n*n\/(n\/((n\/(n*n*n\/n**(-32\/3)))\/n))*n))*n*n assuming n is positive.\nAnswer: n**(-26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, b: 1, k: 1, s: 3, e: 2, z: 5}. Give prob of sequence ks.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from uuululuuul?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -541?\nAnswer: -2\/541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 g when two letters picked without replacement from {o: 2, j: 1, x: 1, g: 2, m: 4, t: 4}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(864)\/sqrt(3).\nAnswer: -48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22167376 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 20, 48, 94, 164, 264, 400, 578?\nAnswer: 804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14823 is divided by 7407?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1545 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - 11*a**2 - 22*a + 16. Let k be z(-8). What is the closest to -1 in -0.04, 1\/14, k?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-4))\/((570\/(-80))\/(-19))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + v - 6 = -19, 5*v - 4 = -2*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6414 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 9576556, 9576548, 9576540, 9576532, 9576524, 9576516?\n\"Answer: -8*f + 9576564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9189180 and 5593?\nAnswer: 431891460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -571804, -1143607, -1715408, -2287207, -2859004, -3430799, -4002592?\nAnswer: -4574383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 40170\nAnswer: 1\/8034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*q**2 + 0*q - 2 + 53*q**2 + 0*q.\nAnswer: 131*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 168 - 152 = 2*p, -2*d - d = -2*p + 18 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 324992120?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -692601 or -692616?\nAnswer: -692616","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3921620, 15686529, 35294710, 62746163, 98040888, 141178885, 192160154?\nAnswer: 250984695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(2\/63)*z**(-4\/5))**(-6\/25) assuming z is positive.\nAnswer: z**(-106\/2625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 209510111 to the nearest 100000.\nAnswer: 209500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 342 = 4*l, -5*l - 327 = 5*y + 513. Let g = y - -363. Let m = g + -781\/4. Sort -1\/10, -5, m in increasing order.\nAnswer: -5, m, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 244 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = f + 11. Suppose f*g - g - 222 = 0. Is 16 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(6\/(-8))*4\/40*-9?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(-11 - (-1 + -2)). Let t = -11 - i. Suppose -2*l - 5 = n, -1 + 8 = -l - 2*n. Which is smaller: t or l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*d + 30 = -8*d for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010011111100111 - -101?\nAnswer: 1010011111101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 1\/5 (b) -1443.8 (c) 2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 13, 19, 25, 31?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**3 - 2*m**3 + m**3 + 3*m + m**3 - 3*m + (5 - 5 + 2*m)*(5*m**2 - 2*m**2 - 2*m**2).\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1002*o - 15 = -1017*o. Sort 0.51, o, 0.2, -0.2 in descending order.\nAnswer: o, 0.51, 0.2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m - 13. Let t be d(-9). Suppose -u = -t*u. Find the third derivative of -p**6 + u*p**3 + 0*p**3 - p**2 wrt p.\nAnswer: -120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -28452.\nAnswer: 5\/28452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -235*a + 476*a + 4566 - 239*a - 4566.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -28 (b) -84762 (c) -1\/3 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003805849428 to 7 decimal places.\nAnswer: 0.0003806","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-9 - -4)) + -1 - (-2 + -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z**2 + 7*z + 4. Suppose l + 5*p = -29, 0*l + l = -4*p - 24. Let t be s(l). Let n = t - -150. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -250021 - -250010.8067. Let n = d - -10.2. What is n rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5*p + 1 = 0, -q + 3*p = -p + 4. Suppose -q*n + 13930 = -n. Suppose -n = -7*z - 422. Is 32 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of k**4\/2 + 16*k**3 + 144*k**2 + 107. Factor g(v).\nAnswer: 2*v*(v + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 383*v**2 + v - 1007 wrt v?\nAnswer: 766*v + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kcc when three letters picked without replacement from {k: 1, j: 2, n: 4, c: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 589 (base 10) to base 5\nAnswer: 4324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2271 = 540*x - 8471 - 2440 for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 434 and 140?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c*c*(c\/c**13)\/c*c)*c**(3\/7))\/(c*(((c\/(c\/((((c\/(c*c*((c\/(c*c\/c**5))\/c)\/c))\/c)\/c)\/c*c)))\/c)\/c)\/c)**(-48) assuming c is positive.\nAnswer: c**(-2265\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of -g**4\/12 - 4*g**3\/3 + 11*g**2\/2 - 2*g. Let x be f(-9). Suppose x*z - 75 = -3*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 8, 657 in descending order.\nAnswer: 657, 8, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 682 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/(-25) + (-64)\/(-10). Let o = 8 - l. What is the second smallest value in 4, 0.1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3 - 9 = -5*b, -l = -b. Let y = l + 1. Let q be 4\/14 + 17\/14. Which is bigger: q or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -446064*z**4 - 487794*z**2 wrt z.\nAnswer: -10705536*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -2*a**3\/9 + 313544*a**2\/9 - 12295311770*a\/9 + 171950050300\/3 = 0.\nAnswer: 42, 78365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1879502 and 890.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 18069 and -0.6498455971.\nAnswer: 18068.3501544029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 12*y**2 + 63*y - 47. What is h(-16)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-4)*(v**(3\/10)\/v)\/v)**(5\/8))**30 assuming v is positive.\nAnswer: v**(-855\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11172 + 1185 + 880 + 2914)*(2*s**2 - 2*s**2 - s**2) as r + q*s + d*s**2 and give d.\nAnswer: 6193","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -x**3\/5 - 53*x**2\/5 - 246*x\/5 - 288\/5 = 0?\nAnswer: -48, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4 = -2*v. Suppose v*l - 49 + 241 = 0. Let b = l + 71. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*k**3 - 6*k**2 + 6*k**2 - 11*k**3.\nAnswer: 25*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 3*p**2 - 71*p - 2305. What is n(42)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 54039 and 198143?\nAnswer: 594429","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -237414 and 9.4.\nAnswer: -2231691.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 716965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**(-9)*t*t)**(-1\/25))**26)**(2\/39) assuming t is positive.\nAnswer: t**(8\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.5 and -1.72.\nAnswer: -1.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -5\/4 (b) -59 (c) 0 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*d + 29*d + 6 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 263*f - 671 + 4499 = 321*f. Let q be (-330)\/(-18) + 1\/(-3). Calculate the greatest common divisor of f and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1290 and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1531848 or 1531874?\nAnswer: 1531874","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1044 - 0.155. Let w = -7.9494 + q. What is the second biggest value in 4\/5, -3, w?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20.6 + -0.6. Let q = -20.1 + d. Which is the nearest to q? (a) 3 (b) -5 (c) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1598803, 1598799, 1598795, 1598791, 1598787?\n\"Answer: -4*x + 1598807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 23 - 12 - 17349*w.\nAnswer: -17349*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -111 + 219\/2. Let o = -8.5 + 8. Let y = -1.65 + -0.35. What is the third biggest value in y, r, o?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199662 at least 199658?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -25 (b) -10 (c) -8 (d) -2\/9 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 368*b + 83. Let h be u(4). Suppose -h = -5*n + 1035. Does 74 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -66*q - 351. Let u be h(-6). What is the highest common divisor of 144 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 4*t**2 + 6*t + 1. Let y be u(5). Is (4116\/(-112))\/(y\/(-16)) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1917 divide 364465041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -4*y + 2*y - 50, 4*m - 200 = y. Let d = m - 45. Suppose -5*a + 4*h + 192 + 228 = 0, -2*a + d*h + 168 = 0. Round a to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in 5, -1243, -1\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 301 and 4687.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 6 - 3 - 17*y**2)*(36*y - 2 + 1 - 37*y + (3*y + 2*y - 4*y)*(-2 + 3 + 1) - 3*y + y + 3*y).\nAnswer: -34*y**3 + 17*y**2 - 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 9:05 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -2\/13, 0.05, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*j + 173*j = 3059 + 2261 for j.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 1092 + 2*c**3 - c**2 + 4*c - 1091 - 3*c**3. Let f be i(2). Let w = -1 - f. Solve 5*y + 1 = -4*k, w*k - 1 + 0 = -3*y for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2 - 2 = 0. Let b(a) = 3*a + 1. Let n = 4637 - 4638. Let k(j) = -1. Give h*b(v) + n*k(v).\nAnswer: 3*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -133*h*r*u + 7*h*u**2 - h*u + 7*h - 2*r*u**2 wrt r.\nAnswer: -133*h*u - 2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -98 times -6069.2\nAnswer: 594781.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 - 5*k - 14. Calculate i(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -7. Suppose 0 = 4*p + 4*d - 36, -2*p + 30 = 6*d - d. Which is the second smallest value? (a) p (b) -19 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1085052 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 880 = -3*z - 2*z. Let n(q) = 16*q - 3. Let s be n(-4). Let f = s - z. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.12585 - -0.01515. What is k rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 1 - 5 = c, -5*c - 2*b + 16 = 0. Suppose o = c*o - 6. What is the remainder when 11 is divided by 2*1\/o - 40\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 57*j + 141. Give q(-3).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + 2*1\/2. Suppose 2*y + m*h = 0, y - h - 11 = -3. Suppose o = y + 1. Solve c + o = 2 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 46603\/78155 - (-5)\/(25\/(-3)). Which is smaller: r or 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 3*m + 0)*(1 - 1 - 161*m + 329*m + 957*m).\nAnswer: 3375*m**2 - 1125*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 597750 is divided by 3020?\nAnswer: 2810","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.344 + 831.5\nAnswer: 831.156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 312919 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7a9 (base 11) to base 10.\nAnswer: -966","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 21*m**2. Let b(f) = 95*f**2 - 38. Let z(p) = 31*p**2 - 12. Let c(x) = -6*b(x) + 19*z(x). Give c(v(u)).\nAnswer: 8379*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -4*a. Let b be 17 + -18 + 34\/2. Let o(r) = 0*r - 16 + b - 4*r. Determine n(o(s)).\nAnswer: 16*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 773 + -772. Suppose -2*k + 21 = u, w = -14*k + 15*k. Is u smaller than 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + -1)\/(-1) + 1691 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3*c - 11. Suppose 2*k = 4*v + 10, 3*k = k - 2*v + 40. Let j = 23 - k. Is h(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 444072392?\nAnswer: 2, 3457, 16057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 smaller than 60?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*l + 128 - 82 = 0. Suppose 719 = 5*y - k, 2*y - l*k - 2*k = 302. List the prime factors of y.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/(-3) - (-4)\/6. Suppose 2*h + y = 448, -y = 2*h - j*h + 456. Suppose h = 3*t - 0*t + q, 3*t - 4*q - 236 = 0. Is t a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-15)*y)**(-1\/4))**(-40) assuming y is positive.\nAnswer: y**(-140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m + 12, 66*r - 1065194 + 1063198 = 4*m for r.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**3 - 2*f**3 + 5*f**3 + (2*f**3 - f**2 + f**2)*(0 + 2 + 0) + 2*f**3 - f**3 + f**3 + f**2 - f**2 - f**3 + (-2*f - 3*f + 6*f)*(-3*f + 3*f + f**2).\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**4 + 12*w**2 + 8*w.\nAnswer: -4*w*(w - 2)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 36, 61, 92, 129, 172, 221?\nAnswer: 276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -23*a**3 + 4*a**2 - 4*a - 4. Let z(i) = 22*i**3 - 3*i**2 + 3*i + 4. Let y(q) = 3*h(q) + 4*z(q). Differentiate y(g) with respect to g.\nAnswer: 57*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2662*k**2 + 4864 - 4864.\nAnswer: -2662*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7939 - -7938.95. Let q = -0.07 - 1.13. Let d = q + 1.1. What is the closest to d in 0.4, l, -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14589?\nAnswer: 3, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -371?\nAnswer: -373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 0.7, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is sixteen ninths of a week in minutes?\nAnswer: 17920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 529*l**4 - 367*l**3 + 999*l**2 - 264 wrt l?\nAnswer: 12696*l - 2202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of -1\/20*z**5 + 7\/3*z**3 + 3\/4*z**4 + 0 - 7*z - 15\/2*z**2. Is n(10) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + 1 - 2\/(-2). Suppose h - 37 = -0*x - x, -5*h = -u*x + 235. Let c = 98 - x. What is the highest common factor of c and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2020 (base 3) to base 10\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 + 0)*(53*w + 5*w + 31*w) + (5 - 4 - 3)*(-w + 3*w + 0*w) + 4*w + 0*w - 2*w - 2*w - 1 + 1.\nAnswer: 263*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -864 + 873. Let i(q) be the first derivative of -q**4\/4 + 8*q**3\/3 + 11*q**2\/2 - 11*q - 1. Determine i(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -74 divided by 6\nAnswer: -37\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-3))\/(2 + 64\/(-12))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1120214044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xl when two letters picked without replacement from llllllxlxlllllxllxl.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12095664 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o**3 - 15776 + 4*o**3 + 151*o**4 + 15777 in the form c*o**2 + p + m*o + g*o**4 + s*o**3 and give g.\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (63 + -44)*(-366)\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149 is divided by 75?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.4418 - 0.0418. Let d(s) = s**3 - 2*s**2 + 2*s. Let w be d(2). Suppose -12 + 4 = -w*i. Which is the closest to i? (a) 2\/3 (b) 0.5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.8, -0.29, -3\/2?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/2113863 and 89\/7046210.\nAnswer: 21138630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(405) + -2 + sqrt(405))*1*-4.\nAnswer: -216*sqrt(5) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/457 and 30\/11?\nAnswer: 5027","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19.2 - 19.5. Which is the second smallest value? (a) -2\/9 (b) -4\/25 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -80, -180, -330, -536, -804, -1140?\nAnswer: -1550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2244*t**2 + 45*t + 100. What is the tens digit of c(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*s**3*t**4 - 6*s**3*t**2 - 2*s**3*t*x - 5*s**3*x + 10*s**2*t**4 + 2*s**2*t**2 + 2*t**3*x wrt t?\nAnswer: -72*s**3*t + 240*s**2*t + 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/4 + -68*(-14)\/224. Let f(t) = 12*t + t - 11*t - p*t. Let h(z) = -z**2 + 7*z. Let k be h(6). Calculate f(k).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 6:26 AM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1612 and 31?\nAnswer: 1612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -8733 rounded to the nearest one hundred?\nAnswer: -8700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60569?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0063366 - -0.193663. Let y = -0.2 + m. What is y rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -2*g**5\/3 - 317074*g**4\/9 - 4189260932*g**3\/9 - 775620744*g**2 + 8378310512*g\/9 + 11169953344\/9 = 0.\nAnswer: -26422, -2, -1, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 - 4*j + (0*j - 3*j + 2*j)*(-5 + 2 + 4) + 1653 + 9*j - 1653)*(-2*j + 5*j - j).\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, f: 3}. What is prob of sequence ff?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 + -220110122?\nAnswer: -220110212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -220\/3*j + 308\/9*j**2 + 56 + 4\/9*j**4 - 20\/3*j**3.\nAnswer: 4*(j - 7)*(j - 3)**2*(j - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1069248 and 152.\nAnswer: 20315712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -313, -544, -775?\n\"Answer: -231*g - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*o**3*t + 2*o**3 - 3*o**2*t + 2*o*t - 484*t - 3 wrt o?\nAnswer: -24*o*t + 12*o - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3785.289+-0.1\nAnswer: 3785.189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6049845 and 4893.\nAnswer: 699","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22776\/20592 - (1 + (-1)\/(-6))?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 153 + 5?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -106676 (base 8) to base 4.\nAnswer: -20312332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 362145487 to the power of 1\/2, to the nearest integer?\nAnswer: 19030","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/679, 3\/4, 168.7 in decreasing order.\nAnswer: 168.7, 3\/4, 2\/679","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.424406 millennia to centuries.\nAnswer: 34.24406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 55 - 51. Put -1\/2, n, 5 in increasing order.\nAnswer: -1\/2, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - g - 151 + 48 = 0, -2*p = 3*g - 31. What is the remainder when 98 is divided by 29\/29*(p + 0\/2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**9*u**2*((((u**(-2\/9)\/u)\/u)\/u)\/u)\/u**(-1))**(-38) assuming u is positive.\nAnswer: u**(-2660\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 45929\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/6 + 3993*p\/2 + 11981\/3.\nAnswer: -(p - 11981)*(p + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/117210 and 17\/20.\nAnswer: 234420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -ca - c9254d?\nAnswer: -c92639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1344130 + -14?\nAnswer: 1344111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 50704332 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 145*m**2. Let x(o) = o**2. Determine x(n(i)).\nAnswer: 21025*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-84)\/(-15))\/(2\/10). Let z = -9 + o. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -4280761*m**5 - 141258906*m**4 - 1540254645*m**3\/4 + 2234223*m**2\/4 - 405*m\/2 = 0.\nAnswer: -30, -3, 0, 3\/4138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2409 and 363?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 692*y**2 + 1 + 41*y**3 - 619*y**2 - 39*y**3 to k*y**2 + h*y + t*y**3 + j and give k.\nAnswer: -1311","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -43594 divided by -21797\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 344 - 100 = 5*q, 82 = 2*q + 4*m. What is the remainder when q is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13375951?\nAnswer: 1223, 10937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 62*d**2 - 4*d + 58. Let o(v) = -60*v**2 + 5*v - 7 - 52 - 3*v**2. Let p(n) = 3*o(n) + 4*u(n). Find the second derivative of p(h) wrt h.\nAnswer: 118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -387408 and 594194.\nAnswer: 206786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35 + 9. Let c = b - -17. Suppose -3 = -l, -s = -3*s + l + 3. Sort s, c, 0.\nAnswer: c, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 6.9. Which is smaller: u or 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 3 + (sqrt(13) - sqrt(91)\/sqrt(7) - sqrt(13)) + (-2*sqrt(1573) - sqrt(13)) + -5)**2*5.\nAnswer: 720*sqrt(13) + 37485","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 11 - 5, 0 = -2*m - 4*p + 1256. Is 13 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39269194?\nAnswer: 2, 19634597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 82888*q**3 - 26*q**2 - 4569799*q.\nAnswer: 497328*q - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1234 a factor of 6935911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 421 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (4 - 1 - -4) + -31?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 335 and 2414345?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.7 - 11.3. Let t = -12.98 - -0.48. Let x = p - t. Which is smaller: x or 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -55 - -195. Suppose 0 = -7*g + 135 + 68. Calculate the remainder when n is divided by g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ts when two letters picked without replacement from {y: 1, x: 1, s: 3, t: 3, p: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 211 = b - 3*d, -2*d = b - 201. Suppose 2*y = -3*y - b. Let w = y + 78. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/((-2)\/(1 - 3)). Suppose -4*m + 344 = 3*y, 5*m + 75 = y + 505. What are the prime factors of m - (-4 + u) - 3?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8834*t + 17610*t + 12478*t**3 - 14*t**2 - 8706*t wrt t.\nAnswer: 74868","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 101*d**2 - 206*d + 794. Let p be z(99). Let b be 1 + (4\/2 - 2). Let t be 4\/3*(b - -2). Sort -2, t, p in decreasing order.\nAnswer: t, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 59187 and 10137?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5072 by 2.\nAnswer: -2536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -43 (b) 4 (c) -8 (d) 5 (e) 1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*1*(-77)\/14. Let b be -11 - p - 0\/(-2). Let c be (b\/(-1))\/(-7 + 5). Solve 0 = 2*t - c*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 419 + -7963\/19. Which is the nearest to 7? (a) y (b) 0.2 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sqiddiw. What is prob of picking 1 w, 1 q, 1 s, and 1 d?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 1077 divide 12686769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 13*y**2 + y + 13. Let w be c(-13). Suppose 2391 = 3*x - w*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + 2 + -2*(3 + -1*(sqrt(50))**2 + sqrt(2))).\nAnswer: -576 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 3:58 PM?\nAnswer: 5:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21.762 - 27.762. Suppose -z + 0*z + 3 = 0. Let r = -46 - -89\/2. What is the closest to 1 in z, x, r?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 60 + -18432?\nAnswer: -18362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*u = 27*u + 350. Let q be (u\/(-15)*-15)\/2. Suppose 11*j + 42 = q*j. Solve j = 4*z - 9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/(1 - (-2 - -2)). Let c(n) = -5*n. Let b be c(-3). What is the highest common factor of u and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b + 32. Let t be i(-10). Suppose -2044 = -t*m - 3*r, 3*m + 2*r = -2*m + 5099. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3 - 8*p**2 - 10*p - 4.\nAnswer: -2*(p + 1)**2*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 11:58 AM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17181 and 166.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -15*c**3 - c**2 - c - 2. Calculate the remainder when j(-1) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (-9)\/(27\/24)) + -16 - -5.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 42\/(-9) + (-1)\/3. Let s be (-4)\/(-10) + (-123)\/w. Solve -u + t = 4*u + s, -3*t + 15 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 3 s when four letters picked without replacement from {j: 2, g: 13, s: 5}.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 4*g - 99 = -i, 2*i - 4 = 0. Suppose 4*w = -0*z + z + 60, 4*w + 5*z = 36. Calculate the remainder when g is divided by w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -443 or -379?\nAnswer: -443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 349 = -166*t + 2175 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -21, -39, -61, -87, -117?\nAnswer: -151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and -0.6395277.\nAnswer: 4.3604723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g + 112504 - 77729 = -102121. What are the prime factors of g?\nAnswer: 2, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1000 (base 2) to base 12\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 5*x + 28 = 0, 0 = -4*x + 21 - 5. Let s(h) = 2*h + h - g*h. Let a(d) = -5*d**2 + 0*d + 0*d + 6*d**2. Give s(a(f)).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1727 a factor of 2901328497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 2*n = -30, 0 = -4*p + 2*n - 5*n + 35. Let t = 11 - p. Sort 2, t, 1.\nAnswer: 1, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uunuuunu. What is prob of picking 1 u and 2 n?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.12 + 0.995. Let x = 2.875 - m. Let q = 1856\/9 - 206. Which is the closest to q? (a) x (b) -3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0\/(-2))\/(1 - (-7 - -9)). Let a = 1.2 + 0.4. Which is bigger: q or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -62 + 96. Is 20 a factor of 0 + -3 + o + -3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z - 41545 - 18455 = 0. Round z to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/16 + 17\/20. Let t = -0.97 + -0.03. What is the nearest to t in -3, -0.4, f?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 - 6*j - 4. Let d be v(-5). Let y(u) = -u + 10. Let k be y(5). Solve -k = -4*g - d for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37 + -20. Let b = w - 12. What is the second derivative of -5*l + 6*l - 6*l**2 + b*l**2 wrt l?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -409 and -9.951.\nAnswer: -418.951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**4 - 210*m**3 - 373*m**3 - 2*m + 1423*m**2 - 2 + 586*m**3 to the form k*m**2 + f*m**4 + t*m + h*m**3 + l and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32142 and 42306?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42 and 21504.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-4*(sqrt(11) - (sqrt(539) + 3)) + (1 + sqrt(44)\/sqrt(36))*-6)**2 + -5.\nAnswer: 3000*sqrt(11) + 28395","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 432 and 96?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 4*m**2 + 9*m. Let k(t) = -t**2 - 2*t. Let h(d) = -4*j(d) - 18*k(d). Let b(g) be the first derivative of 0*g**2 - 1\/3*g**3 + 0*g - 1. Give h(b(u)).\nAnswer: 2*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(((-30)\/5)\/(-6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -37 + 37 + 3*j. Determine r(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2121?\nAnswer: 3, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = -5*a - 3*v, 4*a = -18*v + 20*v + 64. Does 6 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -i - 3, -4*m - 4*i = 8. Let c = 8 + m. Which is smaller: 1\/3 or c?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 3\/7, -2, 1, -68\/31 in decreasing order.\nAnswer: 1, 3\/7, -2, -68\/31, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -1110101000101?\nAnswer: -1110101001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 - 18. Suppose 0 = s*j - 2*d - 30, -10 = -6*j + 3*j + 4*d. Let q be (-48)\/(-20) + 6\/j. Solve -5*o = 4*u + 17, -u = -0 + q for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -109267, -218531, -327795?\nAnswer: -437059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.67 and -216.1431.\nAnswer: -144.815877","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3*4\/3*15\/(-12)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -181929765*j**5 + 6065747*j**2 + 2 wrt j?\nAnswer: -10915785900*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 3 + 1 + (76 + (6 - -2) - 17)\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = x - 7, -3*d = 3*x + 2*d - 21. Let v = 21 - x. 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: Let d = 27 - 8. Suppose d = 3*c + c + 3*y, -4*y = -20. What is the units digit of (c - 2)*-1 - -9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48265.\nAnswer: 5, 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/2 and 31\/4236.\nAnswer: 4236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3413 a factor of 1268502215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (261\/(-116))\/(46\/112 - (-246)\/(-861))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (136\/(-3))\/((-3)\/99) + 3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -88 - 834120?\nAnswer: -834218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 8868, -2, 2\/13, -4 in descending order.\nAnswer: 8868, 2\/13, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a century in months?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 7.89086 milligrams?\nAnswer: 0.00000000789086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19 and 1216.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - (11\/(-22) + (-6)\/4). Let w(k) be the second derivative of 0*k**m - 1\/4*k**4 + 0*k**3 + k + 0. Let h(t) = 3*t. Give w(h(f)).\nAnswer: -27*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(2\/3)*f)\/f*f\/(f**(-2\/15)\/f*f)*f)\/(f**(2\/3))**(-31))\/((f*f**(1\/2)\/f)**39)**(-32) assuming f is positive.\nAnswer: f**(9712\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + 2)\/(-2 - -3). Let d be ((-16)\/(-12))\/(t\/3). Solve -4*v = 4, d*y + 3*v + 19 = 4 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59760 rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*l**3 + 5*l**3 - 61*l**3 + 14*l**3 + 17*l**3.\nAnswer: -49*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/5 + 2)*48751000\/(-1 - 1). What is n rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 + 2*b - 3. Let c be n(1). Let l be 1 + -2 + (8 - 2). Suppose 2*w + 11 = -0*w + l*x, -3*w - 5*x - 4 = c. Put 1, 4, w in increasing order.\nAnswer: w, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33) + 1*sqrt(1617))*-5)\/(sqrt(55)\/(1*-3*sqrt(5)))*-2.\nAnswer: -240*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -6. Let w be (0 - -1)*(p - -2)*-1. Calculate the greatest common divisor of w and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 647, 3360, 10249, 23402, 44907, 76852, 121325?\nAnswer: 180414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -345 + 702. Let h = -4\/234883 + -234875\/469766. Which is smaller: b or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27 times -0.011\nAnswer: 0.297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1915 is divided by 952.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32 + 11. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -40, -0.1, 0.052?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 148 + -142. Calculate the lowest common multiple of 2 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -1.011?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -3 + 19*g + 5 + 17*g - 31*g. Let f(h) = h + 1. Let v(c) = 18*c + 12. Suppose -b - 32 = 3*b. Let m(s) = b*f(s) + v(s). Give 5*j(x) - 3*m(x).\nAnswer: -5*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 43750 (base 14) to base 10\nAnswer: 163338","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 142.12 + -200.43. Are 0.4 and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -1. Let u = 4523 + -474904\/105. Let w = u - -2\/21. What is the second smallest value in -0.3, l, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -93dc8d?\nAnswer: 93dc91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17358 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 260 and 1105.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37 + -22. Let m(z) = z + 7. Let l be m(-4). Suppose 5 = l*i - 13. Calculate the highest common divisor of x and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/18 and 89\/1901418?\nAnswer: 5704254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -80*v - 53*v + 76*v - 25*v**2. Let n(m) = -1178*m**2 - 2679*m. Let t(d) = -95*j(d) + 2*n(d). Find the second derivative of t(c) wrt c.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 926220 rounded to the nearest 1000?\nAnswer: 926000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of -y**4\/4 - 5*y**3\/3 + y - 1505. Suppose 4*d + 18 = -2*p - 0*p, -4*d - 5*p - 33 = 0. Determine r(d).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 4*v**3 - 12 + 32.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (q + 5*q - q)*(-2*q**2 + q**2 - q**2) + (0*q**2 + 3*q**2 - q**2)*(1 + 14 - 3)*(-2*q + 3*q + 0*q) to a*q + v + k*q**3 + r*q**2 and give k.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/(-9))\/(-3 - 894\/18). What is the third biggest value in 2\/11, m, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -103.05 + 101. Let i = 0.05 + c. Let t = -0.02 - -2.02. Is t not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (1 + sqrt(2448) + 1 - sqrt(2448))**2*5.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + 2*c**2 - 1. Let i = 45 - 43. Let b(w) = 4*w**3 - 8*w**2 + 5. Give i*b(q) + 9*l(q).\nAnswer: -q**3 + 2*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -104494050 to the nearest one million.\nAnswer: -104000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of -2*d**2 + 8. Let m be j(-2). What is the units digit of (-10 + m)\/(1 - (-61)\/(-59))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10952.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 23219\/(-3) - ((-9802)\/(-174) - 54). Is h >= -7745?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.31 - 0.39. Let l = -144220.0799929 + 144220. Let m = f - l. Round m to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 42420 - -126066?\nAnswer: 201516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u + 23. Determine k(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21 + 31123020?\nAnswer: 31122333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - 5*i**2 - 4*i + 22. Let b be u(5). Solve p + 7 = 5*p - o, b*p - 7 = -3*o for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**3 - 232*p**2 - 10092*p.\nAnswer: 4*p*(p - 87)*(p + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 6 - (2 + -6) - (0 + 4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of -f**3\/3 - 17*f**2 + 91*f + 7005. Determine j(3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 16, 0, -3 in descending order.\nAnswer: 16, 1, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-10)\/(-4))\/(10\/1060). Let q = d - 188. Suppose -3*x + 49 + q = 0. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2943673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -27787575 or -138937871\/5?\nAnswer: -138937871\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 1753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 152 - 101. Let c = j - 56. Let s(w) = 2*w**3 + 10*w**2 - w + 7. Let t be s(c). Solve -5*d = 3*y - 8 - 3, 0 = -4*d - 4*y + t for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24.9 - 40. Let x = y - -12.1. Which is greater: x or -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6120 and 31960.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 242948*w**3 + 2098*w + 20 wrt w.\nAnswer: 1457688*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 6) to base 4.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/h**(-6\/13))**(-44)*h**14\/(h*h*h**(-5\/2)))**34 assuming h is positive.\nAnswer: h**(-41463\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2420012 (base 5) to base 12\nAnswer: 22067","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11866472 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00509306 to five decimal places.\nAnswer: -0.00509","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {e: 7, s: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-1) - (1 + -6). Let g be 3\/(-9) + (-125)\/b. Let t = -21 - g. Which is greater: 1 or t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 107699 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) - sqrt(252)*4 - sqrt(252))*-1 - sqrt(252))\/(-1*sqrt(64)*-2).\nAnswer: 9*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-98)\/(-42) - 40706\/17628 and -29\/12.\nAnswer: 17628","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/((-14)\/4)*(-1136)\/(-47712)?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**2 - 2*o**2 + 2*o**3 + (0 - 2*o + 0)*(0 + 0 + 2*o)*(27 - 27 - 53*o).\nAnswer: 214*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 11) to base 7.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 - -16. Let r = x - -8. Which is the third biggest value? (a) -1\/2 (b) r (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a - 19 + 19 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 8:00 PM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + z**2 - z - 2. Let u be y(-2). Suppose -2*n + 5*l = -0*n - 92, 5*n - 188 = 2*l. Calculate the greatest common factor of u and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5986080 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14192 and 6928?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from llllsllllllllslllll.\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52 and 780338.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 3:37 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*r = 118*r - 8064. Is r even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (69\/(-2))\/(9\/(-18)) is divided by 27.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 894694?\nAnswer: 2, 269, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**2 - 3*w**2 + 5*w**2 + (-w**2 - 22*w**2 - 27*w**2)*(1 + 1 + 0).\nAnswer: -101*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 45 = b, -5*b + 4*r = -39 - 183. Suppose -1251 = -3*k - b. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/20 - (-76)\/20. Suppose 6*g = s*r + g - 179, -4*r = g - 209. Round r to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*t**5 - 570*t**4 + 1089*t**3 + 213*t**2 - 216*t - 48 = 0 for t.\nAnswer: -1\/3, -1\/4, 1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(12\/(-3))*5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 12 = 2*a. Factor -2*s**2 + 3 + a*s + 3 - 2 - 6.\nAnswer: -2*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 51 - 69. Let k be (-4)\/o - (-2394)\/162. Solve 0*d + 3*d = -k for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*z**3 - 7*z**3 + 3*z**3)*(4 + z - 4) + 6488*z**4 + 6453*z**4 - 13837*z**4.\nAnswer: -906*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43.7 + -37.7. Let l = o + -6.3. Let n = -0.09 - 0.11. Sort l, -3, n, 2\/11 in increasing order.\nAnswer: -3, l, n, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 467 a factor of 97327003?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 242*j**2*s + 56*j*s + 2*j - 3*s wrt j.\nAnswer: 484*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -895*b - 7189. Calculate l(-8).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7788781417 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 640 divide 4664320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from fwfwwwwwfffwfffwfwf.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d + 13 - 13)*(7*d**4 + 36*d**3 - 24*d**3 - d - 20*d**3).\nAnswer: 28*d**5 - 32*d**4 - 4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -24 in -9, 3, -2, 1\/4?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-3) + 190\/30. Differentiate m*z - 71*z**2 + 2*z + 9 + 74*z**2 with respect to z.\nAnswer: 6*z + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-147)*15*9*2\/(-15).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52313 to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 92, 197, 368, 599, 884, 1217, 1592, 2003?\n\"Answer: -g**3 + 39*g**2 - 5*g + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 2 t, and 1 c when four letters picked without replacement from {j: 1, d: 2, t: 3, c: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 216 a factor of 31636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from seseeeesees. What is prob of sequence eese?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence it when two letters picked without replacement from {t: 3, i: 2, l: 2, j: 5}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13124 is divided by 98.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*x - 81*x + 3250 = 0. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*l - 181*l + 130 = 0 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1490, -5, -1\/3, 2\/39, 1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6138202.25 rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of 0*t - t**2 - 1\/24*t**4 + 0*t**3 + 0. What is the units digit of r(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 40361\/6 - 6742. What is the common denominator of 39\/2 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*q + 21*q + 22*q + 29*q to c*q + f and give c.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (-1 - (-1 + -4))) + -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 3:26 PM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(-8 - 0) - 6. Calculate the common denominator of 515\/(-60) - (4 - g) and -119\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 3 = -2*w. Suppose f + 2*f = 396. Let k be ((-8)\/f)\/((-2)\/6). Which is the smallest value? (a) k (b) -1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -353*n**3 - 232*n**2 wrt n.\nAnswer: -2118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 126 - 125 - (50\/8)\/5. Let l be (4\/(-2) - 0)*-2. Let q = -2 + 2.2. Which is the nearest to q? (a) x (b) l (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36*5\/(-70))\/(31 - (-17336)\/(-560)).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/5 + 4*d**2\/5 + 975*d + 124722\/5.\nAnswer: -(d - 82)*(d + 39)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -57, -6\/11, -2\/11, 6, -37.\nAnswer: -57, -37, -2, -6\/11, -2\/11, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 - 15*y + 28. Let a = 33 - 30. Suppose -34 = 3*n + 2*h, -2*n - 38 + 7 = a*h. Is j(n) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/2 + 5\/(30\/42). Suppose 20*q - 16*q - 17 = -3*x, -k*x + 4*q + 38 = 0. What is the remainder when 18 is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 2388?\nAnswer: -2384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*h - 3279 + 2613 = 0 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -5, 1, -2.492, -1\/18 in ascending order.\nAnswer: -5, -2.492, -1\/3, -1\/18, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 45 + -25. Let t = -6 + x. Calculate the least common multiple of t and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**2 - r**3 + 0*r**3 + r**2 + (-32*r - 9*r**2 + 32*r)*(-2*r + 0*r + r).\nAnswer: 8*r**3 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2936, -2931, -2918, -2891, -2844, -2771?\n\"Answer: d**3 - 2*d**2 + 4*d - 2939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/116, 3\/695, -9 in decreasing order.\nAnswer: 3\/695, -1\/116, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (15 - 6 - (-2 + -1))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 9158*g**2 + 292*g - 27. Is q(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1191*z + 372*z - 28575 = 55*z - 81355 for z.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*x + 29*x = 100. Let h = 46 + -17. What is the remainder when h is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 17*d**2 - 32*d - 110. Let h be b(19). Sort -1, 7, 5, h, -20 in decreasing order.\nAnswer: 7, 5, h, -1, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 157814 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3972301 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/366 and ((-46)\/(-427))\/((-616)\/584 - -1) + 2.\nAnswer: 2562","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 378280 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3*s - 3. Let v be k(1). Suppose v = c - 25352283 - 79970053. Suppose -c = 6*m - 12922336. Round m to the nearest 1000000.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -29416784?\nAnswer: 1\/29416784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 18525 to the power of 1\/2, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1088) + 1 - (sqrt(34)\/sqrt(2))**2*-1.\nAnswer: 18 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/18*567\/(-315) + 37*3\/2.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 PM and 9:26 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6.47593926 from 329.\nAnswer: 322.52406074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24098 - 17885 = 1231*m - 7515 for m.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -561*o + 297*o + 0*o**2 + 2*o**2 + 234*o - 9*o**2.\nAnswer: -7*o**2 - 30*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/9444 and -133\/12.\nAnswer: 9444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1535, -1724, -1905, -2072, -2219?\n\"Answer: t**3 - 2*t**2 - 190*t - 1344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000007442455382 to seven decimal places.\nAnswer: -0.0000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 - 4*b**2 + 3*b**2)*(1 - 5 + 2) + 3*b**2 + 2*b - 2*b + ((-4 - 4 + 6)*(-2 + 2 + b) + 0*b - 3*b + 2*b)*(17*b + 14*b - 65*b).\nAnswer: 103*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2470243?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -16*s**3 - 678*s**2 - s - 3. Let h(g) = 19*g**3 + 677*g**2 + g + 3. Calculate 5*h(n) + 6*r(n).\nAnswer: -n**3 - 683*n**2 - n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(2\/27))\/(q**(2\/9)*q))**(3\/2) assuming q is positive.\nAnswer: q**(-2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**4 + 2*b**3 - 2*b**3 + (4*b**4 - 4*b**4 - 21*b**4)*(3 - 1 - 1) + (b + 0 + 0)*(-1 + b**3 + 1) - 3*b**4 + b**4 + 0*b**4.\nAnswer: -20*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 7) to base 2.\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0568 + -4.7732. Let d = i + 0.01. Round d to 1 decimal place.\nAnswer: -4.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6887?\nAnswer: 71, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26814 is divided by 3735.\nAnswer: 669","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -301, -5, 1, -1, -2, 20 in descending order.\nAnswer: 20, 1, -1, -2, -5, -301","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -4 + 2. Let o be (-18)\/(-2)*(-6)\/(-9). Let x = 12 - o. Solve a*t - b + 7 = 0, -2*t + t - x = -b for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p - 3*p + 3*p)*(2 - 6 + 1)*(-2*p**3 - 2 + 2 - 2*p).\nAnswer: -18*p**4 - 18*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - ((3 - 36) + 11).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 (base 7) in base 11?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/2))**(-1\/38)*o**(-7)*(o*o*o*o*o**(-4)*o)\/o*o assuming o is positive.\nAnswer: o**(-455\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.31 + -1.71. Which is the biggest value? (a) -3\/10 (b) d (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 62*g - 2. Let j(b) = -63*b + 2. Determine -5*j(u) - 6*k(u).\nAnswer: -57*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.388697 litres in millilitres?\nAnswer: 6388.697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of u**4\/3 - u**3\/2 - 3*u. Is 10 a factor of d(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 0.2 (c) 2\/15 (d) -1 (e) -1\/7 (f) 2 (g) -222\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 51 + -117. Is (-662)\/(-12) + 11\/f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2. Let w(s) = -s**2 + 2*s - 6. Let b be w(0). Let y(l) = -4*l**2 + 2*l - 1. Calculate b*a(x) + y(x).\nAnswer: 2*x**2 + 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -74 + 71. What is the nearest to 0 in x, 2\/13, -4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10063 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**3 + 0*p**2 - 6*p**2 - 5*p**3 - 3*p**3.\nAnswer: -9*p**3 - 6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147820488.\nAnswer: 2, 3, 59, 104393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -137058 divided by 2?\nAnswer: -68529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 390653 is divided by 247.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2124, 2128, 2144, 2178, 2236, 2324, 2448, 2614?\nAnswer: 2828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -164*z - 160*z + 296*z + 206192. Does 48 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from upuupfffufl?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 102 + 64. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 148*r**2 + r + 9. Give n(2).\nAnswer: 603","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 112355 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-53*m + 7425 - 7425)*(50 - 8 + 92 + 21 + 114) as s*m + g and give s.\nAnswer: -14257","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 5*z + 294 = 0, z - 4 = 5*z. Let f = 379 - b. Is 18 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2\/(-12) + 3311\/66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -326*j - 307*j + 965*j - 322*j.\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lfxxl. What is prob of sequence xlf?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 132\/(-11)*(-1)\/((-9)\/6). Let w(x) = -14*x**2 + 35*x - 47. Let r(z) = 5*z**2 - 12*z + 16. Let b(a) = 17*r(a) + 6*w(a). What is b(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 54.9 and 54.\nAnswer: 108.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-283 - 3) + -2*5\/10. Let w = c + 507. What is the greatest common factor of w and 88?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - -0.0061.\nAnswer: -0.0939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3*r**3 - r**2 + r + 1. Let y be s(-1). Suppose 4*w + y = 6. What is the lowest common multiple of w and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 248, 247, 246, 245, 244, 243?\n\"Answer: -t + 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -1691.9, 0, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 187.4339 decades to years.\nAnswer: 1874.339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 18*t + 264. Calculate q(-15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*v - 3*q = 57*v - 82290, -4*v - 5*q = -109723. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-91 - -92)\/(((-15)\/9)\/5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.511 - 1.5. What is v rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 84829.64008 to the nearest 1000.\nAnswer: 85000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2*m - 48 = -3*n, 5*n = -4*m + 210. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15733439 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -28181700 to the nearest one hundred thousand.\nAnswer: -28200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 184 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 AM and 10:34 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 186\/45 + 4\/(-30). Suppose 2 = -z*i + 3*i. Is (-12 - -1)\/(i\/58) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15239 is divided by 126.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(76)*-3 - sqrt(76) - sqrt(76)*-1*6)\/(sqrt(144) - (sqrt(144)*-2 + sqrt(144)) - sqrt(8)\/sqrt(2)*1).\nAnswer: 14*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.54514 years to centuries.\nAnswer: 0.0754514","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-18*14\/(-420))\/((-3)\/2). Which is the biggest value? (a) j (b) 2\/53 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of 4*l**7\/21 - l**4\/4 + 47*l**3\/6 + 15*l. What is the second derivative of q(k) wrt k?\nAnswer: 160*k**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -9*b - 5. Let z(k) = 22*k + 12. Let u(j) = -12*q(j) - 5*z(j). Let w(y) = -2*y - 2. Let h(n) = 4*n + 5. Let x(t) = -2*h(t) - 5*w(t). Give x(u(o)).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 = 3*u - 45. Let r = u - -47. Suppose 4*b - z - 8 = 5, -3*b + 4*z = 0. Solve 2*g + b = r for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -11\/3*g**3 - 4*g**2 - 1 + 0*g + 16\/5*g**5 + 0*g**4. Find the third derivative of q(o) wrt o.\nAnswer: 384*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10994*g**2*m**3 + 6*g**2*m**2 - 18*g**2*m - g*m**3 + 146029*g*m**2 - 3*g*m - 3*g - m**3 - 2*m**2 wrt g.\nAnswer: -21988*m**3 + 12*m**2 - 36*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -170686 or 0.33?\nAnswer: -170686","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of -x**2\/2 - 2*x - 89. Let z(k) = 3*k + 5. Let d(j) = -15*y(j) - 6*z(j). Let p(q) = 23*q. What is p(d(g))?\nAnswer: -69*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4839269 is divided by 478?\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1058 + 66. Let x = p - -2051\/2. Find the common denominator of x and 101\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57277446 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2397)\/(-27) - 58\/(-261) is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 65*f - 34. Give b(0).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1274076 divided by 9.\nAnswer: -141564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7215, -7177, -7157, -7161, -7195, -7265, -7377?\n\"Answer: -m**3 - 3*m**2 + 54*m - 7265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + 49 + 2 + -3. Let p = -32 + x. Suppose 0 = 2*s - 8, 0 = m - 3*m - 2*s + 106. What is the remainder when m is divided by p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**4\/3 - 27964*n**3 + 439824781*n**2\/3 + 146629234*n + 109977169\/3.\nAnswer: (n - 10487)**2*(2*n + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 3:03 PM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5478, -5387, -5296, -5205?\n\"Answer: 91*q - 5569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 14 + -35b744?\nAnswer: -35b730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2467488 by 308436.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (7 - (-2664)\/(-616)) + (-4)\/(-22). Is k at least 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**4 + 161*u**3 - 9636*u**2 + 253616*u - 2470336.\nAnswer: -(u - 44)**3*(u - 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(143) - sqrt(143))*6)\/((1*sqrt(132))\/sqrt(12)).\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3959649*n**5 + 47242*n**2 + 22*n - 3?\nAnswer: 237578940*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5960262946 minus 1.3?\nAnswer: -5960262947.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + 2. Suppose -108 = -4*b + p. What are the prime factors of b?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16.5 - 2.7. Let y = 15 - b. Let s = y + 0.8. What is the second smallest value in s, 3, 0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32.82 + 5.86. Let l = t - -26. Let q = l - 0.04. Put -3\/4, 0.1, q in ascending order.\nAnswer: q, -3\/4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105265141 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 15*w + 0*w + 37884 = 0. What are the prime factors of w?\nAnswer: 2, 3, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2074, 8080, 18088, 32092, 50086, 72064, 98020, 127948?\n\"Answer: -o**3 + 2007*o**2 - 8*o + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x, 1 h, and 1 p when four letters picked without replacement from {p: 5, h: 8, x: 2}?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 200 or 118?\nAnswer: 200","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 96942 and 4.\nAnswer: 193884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -41*h**3 - 2*h**2 - 26*h. Let i(j) = 40*j**3 + 3*j**2 + 27*j. Let g(x) = 2*i(x) + 3*l(x). Find the second derivative of g(p) wrt p.\nAnswer: -258*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 676573 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2)*(2*q + 2*q - q)*(-q + q - 2*q**2)*(-2*q**2 - q**2 + 4*q**2).\nAnswer: 6*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*y - 2. Let g be (y\/6 - -4)*-30. Round g to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4\/3 - 10*g**3 + 75*g**2.\nAnswer: g**2*(g - 15)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 0.67?\nAnswer: 0.335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -151, -86, 29, 200, 433, 734?\n\"Answer: l**3 + 19*l**2 + l - 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (-12 - -11)) + ((-3)\/(-1) - 3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**5\/5 + 22*t**4\/5 - 13*t**3 - 676*t**2\/5.\nAnswer: -t**2*(t - 13)**2*(t + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 149 + -443\/3. Let g be ((-1)\/7)\/(15 + 3195\/(-210)). Determine w, given that g*w**2 + 2\/3*w - y = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5.01 and 36648.\nAnswer: -183606.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1303011013 - 2003?\nAnswer: -1303013021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -319, -0.5, 1.421?\nAnswer: 1.421","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ynqn when four letters picked without replacement from {a: 1, v: 1, q: 1, m: 1, y: 2, n: 2}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1336 - -1335. Sort -2, s, 21 in decreasing order.\nAnswer: 21, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410001304 (base 5) in base 10?\nAnswer: 1640829","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 + -18. Suppose -5*f - u*f = -44. Factor -8*j + 20*j**2 + 45*j**f - 24*j**5 + 47*j**4 - 4*j**5 - 108*j**3 + 32*j**2.\nAnswer: -4*j*(j - 1)**3*(7*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 17.12 and 0.58.\nAnswer: 9.9296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2535, 4432, 5023, 3654, -329, -7580, -18753, -34502?\nAnswer: -55481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*h + 3*h - 4*h + (-4 - 39 - 109)*(-2 + h + 2).\nAnswer: -149*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1589281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 9:54 AM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8208571?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**3 - 118*x**2 - 471*x - 83. What is the units digit of u(64)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 PM and 11:44 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 132790620 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3a363 (base 15) to base 4\nAnswer: -231200121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 19*u + 15. Let x(p) = 9*p + 7. Let g be 2*(0 + (-135)\/6). Let f = -32 - g. What is f*x(q) - 6*r(q)?\nAnswer: 3*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssusqussmuuqkm. What is prob of picking 1 s and 2 q?\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.2 from -32666409.\nAnswer: -32666407.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (88\/4 - 0)\/(-2). Let k be (-72)\/(-154) - (-2)\/r. Factor 0 + 4\/7*u + k*u**2.\nAnswer: 2*u*(u + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1448 divide 209305573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4244 - -4246. Which is the closest to -0.1? (a) -3.5 (b) -3 (c) w (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 5*n - 1. Let o be s(-2). Let v = -11 - o. Suppose v = -2*h - h + 9. Solve -3*b - h = -4*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(14)*-1)\/(-2*sqrt(252)).\nAnswer: -sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -2*g**3 + 292*g**2 - 9618*g + 91728 = 0.\nAnswer: 21, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v**2\/3 - 20756*v\/3 + 20752\/3 = 0 for v.\nAnswer: 1, 5188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a + 11. Suppose 15 = -6*q + q, -4*h - 5*q = 7. Suppose 4*i + 33 = 2*u + 9, 2*i = -4*u - h. What is o(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 1176.\nAnswer: 5880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -82306809 at least as big as -82306812?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/2 and -31\/474.\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -801 divided by 98916?\nAnswer: -267\/32972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 8*c = 240. Calculate the remainder when c is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 2*n + 4*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -12*y - 9*y + 24*y. Let k(p) = -12*p. Give n(k(j)).\nAnswer: -36*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 219708 and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46*n**2 + 45*n**2 - 76*n**2 to w + m*n**2 + y*n and give m.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 11 = 298. What is the tens digit of 3 + (1 - 1) + (z - 7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 197893551618003 and 3.\nAnswer: 197893551618006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1587173 - 4?\nAnswer: -1587177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (10\/3)\/((-16)\/(-24)) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23607 = d + r + 23646, -3*r = 5*d + 201 for d.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4*(-1)\/2 + 127?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-53 - (10 + -56)) + -1 + 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 3*y - 18 = 0, y - 2 = -6. Suppose g*c + 0*c + 6 = 2*r, 2*c + 4 = 0. List the prime factors of (0 - 1 - -9)*r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4*-1*50\/(-40). Suppose -3*f = 17 - 2, -q*r - f = 0. Calculate the remainder when 1 is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - 18. Let i be z(-4). Suppose 0 = 2*n - 7*n - 20. Let l = n - -9. Put l, i, 3 in descending order.\nAnswer: l, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 15*w + 54. What is b(-10)?\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -1 + (6*sqrt(36)*2*5)\/((sqrt(120) - (sqrt(120) + sqrt(120) + sqrt(120)*-2*-6 + sqrt(120)) - sqrt(120))\/sqrt(10)).\nAnswer: -4*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 16*s**5 + 2374096*s**4 - 21367916*s**3 + 36207520*s**2 + 53420500*s + 14839000 = 0.\nAnswer: -148390, -1\/2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -252.841 - 0.159. Let n = s + 264.7. Let u = 12 - n. What is u rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 4 = -b. Let c be b + (-3 - -13 - 2). Solve -2*h + 2 = -c for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9.9 times -917.4\nAnswer: -9082.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 998914 and 147.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8409146?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -532 - 0.05\nAnswer: -532.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 4*x + 10, 4*i - x - 60 = -5*x. Let m(v) = v**2 - 7*v + 1. Let r be m(i). List the prime factors of (-1)\/1 + 2 + r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = g - 15, -5*g - 4*c = -0*g - 5. Suppose -4*n = 3*x - 3*n + 56, 5*x + g*n + 100 = 0. Calculate the remainder when (4\/(-3))\/(4\/x) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (330\/100)\/(-24 + 1364\/55).\nAnswer: 33\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.4992*5223.\nAnswer: -7830.3216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5670 - 5635. Solve h*n - 56*n = -126 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74 = n - 69 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2750\/303 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10*((-7)\/(-6) + 1\/3). Suppose 2*k - l = -2*i - k, 0 = -i - 2*k + 9. What is the common denominator of (4\/48*22)\/(i\/11) and -5\/128?\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 5 - (-2 - -10 - 4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 + 0.5. Let o be (-1 + 17 - 12)*1. What is the nearest to -2\/5 in -3, o, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-706)\/8825 + (-1 - 949\/(-925)).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, -2\/7, -2\/11, 5 in increasing order.\nAnswer: -2, -2\/7, -2\/11, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 7) to base 15\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of -7*b**6\/30 - 7*b**2\/2 + 9*b. Differentiate d(l) with respect to l.\nAnswer: -28*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3590?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -291 + 86*o - 5*o**2 + 349 + 2*o**2 + 25*o wrt o.\nAnswer: -6*o + 111","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*n + 136 = -24 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 44*x + 10 - 5*x**2 + 49*x - 101*x. Let w be j(5). What is w rounded to the nearest ten?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -726 - -12?\nAnswer: -714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 0.085, 8, -3 in decreasing order.\nAnswer: 8, 0.085, -1\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 7*z**2 - 245*z - 245. Calculate w(36).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -13, -18, -19, -16, -9, 2?\n\"Answer: 2*p**2 - 11*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*v - 5. Suppose 3288 + 401 = 7*y. Let r be 1\/(-6) - y\/(-102). Solve 0*q + 5 = -r*s + v*q, 5*q = -s - 7 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2825264 by 176579.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = k - 13, 5*k + y + 4*y = 20. Let a(z) = -180*z - 1. Let f be a(k). Is -181 greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -4316*n + 208. Let c(r) = 104*r - 5. Give -208*c(f) - 5*d(f).\nAnswer: -52*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (265\/5 + 1)*10\/4. Calculate the highest common divisor of s and 315.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t**2 - 44*t - 38. What is the remainder when 132 is divided by y(-21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -3*k - 52 - 32, -5*k - 4*f = 132. Let g = 26 + k. Suppose 0 = 2*z + g - 0, 0 = -2*o + 4*z + 14. Solve -o*b - 35 = 2*h - 10, 0 = -5*h for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 9:14 AM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (((-69)\/(-5) - 4) + -5)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 36, 59, 84, 111, 140, 171?\nAnswer: 204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1454127686 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 56695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 2 = -5*w. Let d be 15\/(-5) - w\/(-1). Let b = d + -13. Round b to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + x + 96. Let z be 32\/5 + 2 + x\/20. Solve 3*f - z*f - 15 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((925\/(-25))\/148)\/(1\/24)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of -24*p**2 + p + 31. Let r(b) = 12*b. Let k(t) = 2*n(t) + 9*r(t). Differentiate k(f) with respect to f.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 6039?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**2 + 392*b - 19208 = 0. Calculate b.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-6*(-1*-2*sqrt(2057) + 2*sqrt(2057)*-6) + -5)**2 + 1 + -3.\nAnswer: -6600*sqrt(17) + 7405224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9684 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9030, 9027, 9030, 9045, 9078?\nAnswer: 9135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 562617769*c**5 - 724084192*c**2 wrt c.\nAnswer: 33757066140*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 635148 is divided by 6415.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -122*c**2 - 224*c**4 - 11*c - 7*c + 222*c**4 + 19*c to the form i*c + o*c**3 + x*c**2 + r*c**4 + d and give x.\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -109 - (12 + 74 - 165)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 29, 37, 45, 53, 61, 69?\n\"Answer: 8*l + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/55 + 31\/11. Suppose k + 6 = 5*k + 2*y, 3*k = -3*y - w. Solve -s = -k*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 515\/30 - (-21)\/28. Which is bigger: p or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*j**2 + 9*j**2 - 3*j**2)*(-3*j**3 - 4*j**3 - 7*j**3).\nAnswer: 28*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54092 is divided by 54090.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {z: 16, f: 2}.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -90 divided by -374?\nAnswer: 45\/187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.05 + -0.77. Let m = u - -4.72. What is the closest to 34 in -0.5, -1\/3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/6 + (-14)\/6. Let x = 885 - 890. Let b(t) = 2*t - 1. Let n(k) be the third derivative of -k**4\/6 + k**3\/3 + 23*k**2 - 3. What is u*n(i) + x*b(i)?\nAnswer: 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3888) - -3*sqrt(3888))\/((sqrt(72)\/sqrt(2))\/sqrt(4)).\nAnswer: 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-1*sqrt(14))\/sqrt(7) - (2 + sqrt(2) + 3))**2 + -5 + 4.\nAnswer: 20*sqrt(2) + 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 + 18*l - 16. Let v be i(16). Suppose f = -2*t + 6, -2*t = 3*f + 3*t - v. Suppose -f*g + g + 41 = -2*x, 2*x = 2*g - 92. Does 11 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 8 = -3*w. Calculate the remainder when 6 is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 432 and -0.7.\nAnswer: -302.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d + 0*d + 0*d)*(-3882527 + 3882527 + 2185*d**3) - 6*d**4 + 3*d**4 - d**4 to the form g*d**3 + r*d**4 + l*d + k + i*d**2 and give r.\nAnswer: -2189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/243 and (-8)\/(-70)*(-380)\/(-114)?\nAnswer: 1701","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -3002*d + 18. Let p(x) = -7526*x + 44. Give -12*m(h) + 5*p(h).\nAnswer: -1606*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -51, -71, -117, -201, -335, -531?\n\"Answer: -2*s**3 - s**2 - 3*s - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 5 - -3) + 5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y - 3*y + 9. Suppose -3*p = -3*p + y*p. Solve p = -3*c + 2*c + 5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 63.2 - 56. Let l = 1.8 + j. Let i = 10 - l. Sort i, -1, 0.3.\nAnswer: -1, 0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 569604 - -2356484. Suppose 2*o - w = 113912. What is o rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33.719, -0.167, 1\/4, -4.\nAnswer: -4, -0.167, 1\/4, 33.719","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42640 is divided by 5304?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/13)*c\/((c**7*c)\/c))**(-7\/4))**7 assuming c is positive.\nAnswer: c**(980\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + 244\/(-60))*-12.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 55592, 55524, 55464, 55418, 55392, 55392?\n\"Answer: s**3 - 2*s**2 - 69*s + 55662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31667 - -76064. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -q**3\/3 - 4*q**2 + 22*q + 505. What is u(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 454 is divided by 140.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -289 + 174. Let u = v + 112. Let n = 4 - 8. What is the nearest to -1 in n, u, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2500277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 402 and 5494?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(7)*-4 + (sqrt(84)\/sqrt(4))\/sqrt(3).\nAnswer: 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.082 times 18?\nAnswer: -1.476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 3*s - 2817, -4*s + 2815 = 14*j - 11*j. List the prime factors of j.\nAnswer: 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1507 = -4*s + 3*d, -767 = -2*s + 8*d - 11*d. Is s a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -56*z**4 + 3713941*z**3 - 285048836 wrt z?\nAnswer: -224*z**3 + 11141823*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2014 - -102342?\nAnswer: 100324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38 + 22. Let z = b + 22. Let r = 11 - 6. Is r not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.5652443 days?\nAnswer: 48837107520000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -786 (c) 0.2 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -19*i**2 - i + 7. What is c(3)?\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -278*f = 55*f + 781*f + 199*f - 22321 for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (11 + (-14 - -20) - 66)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 5 = -3*t, 5*q = -3*t + 40. Suppose -5*f = -q*g + 90, -4*f = -4*g + 5*g + 47. Put 0, -4, 1, f in decreasing order.\nAnswer: 1, 0, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(343) - (1 + sqrt(63))) + 3)*-1.\nAnswer: -4*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011001202111 (base 3) in base 13?\nAnswer: -185410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8730.\nAnswer: 2, 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-6))\/((h\/(h*h**4*h))\/h*h))**(-2\/75)*(h**1)**(-10)\/(h**(2\/9)\/h*h\/h**(-3\/7)) assuming h is positive.\nAnswer: h**(-671\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 23923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*q - 12. Solve -2*y - 4 = -6*y, 3*b - q = -4*y for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27329 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.16 - -12.16. Put 35, j, 1\/2 in descending order.\nAnswer: 35, j, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 6*m**5 - 8*m**4 - 328*m**3 - 748*m**2 - 254*m + 180 = 0?\nAnswer: -5, -2, -1, 1\/3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22669*s**4 - 8*s**3 - 426685*s**2 wrt s.\nAnswer: -544056*s - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-22)\/(-44) - (-12)\/24*0. Let o = -373\/506 + 18\/23. Is o less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-15 - (-8 + 1))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6066941 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6\/5 of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2331968 < -2331968?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*t**2 + 30*t**2 - 2*t**3 - 37*t**2 + (-4 - 3 + 5)*(-2*t**2 + 2*t**2 + 2*t**3) + 2*t**2 - 2*t**2 + 3*t**3 - 2*t**3 - 3*t**2 + 3*t**2.\nAnswer: -5*t**3 + 4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 PM and 3:32 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/2, -2.3, 1, 28\/17?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 AM and 2:50 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 231.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -20 - -22 - 58\/30. Let p(i) be the first derivative of 0*i**2 + d*i**5 + 0*i - 3 + 0*i**3 + 1\/12*i**4. Factor p(m).\nAnswer: m**3*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -9, -25, -55, -99, -157, -229, -315?\n\"Answer: -7*z**2 + 5*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 9. Suppose q + 2 = u*m, -4 = -2*m + 2*q - 0. Suppose m*z = 3*z + 5*i - 37, 0 = -3*z + 2*i + 65. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 65? (a) 0.03 (b) -3\/5 (c) 0.4 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 9:14 PM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 3984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -221552354?\nAnswer: -221552350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 40) + 12 + 6.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.322 - 2.822. Which is the fourth smallest value? (a) -2 (b) 0.06 (c) w (d) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/10)\/(14\/4).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -76 or -49033\/637?\nAnswer: -49033\/637","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.7 + 0.3. Let u = 0 - b. Let w = u - -1.01. What is w rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70741 - 5*m + 2*m + 70741 + 0*m.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16974 + 16978. Let y(t) be the first derivative of -2*t**2 - 4\/5*t**5 + 11 - m*t**3 - 3*t**4 + 0*t. Factor y(s).\nAnswer: -4*s*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23347\/8 + -2913. Find the common denominator of p and -55\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*q + 3*q**2 + 5*q + (-16 - 9*q + 16)*(-5*q - q + 24*q + q) in the form a + k*q**2 + o*q and give k.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**3 + 2*d - 1. Let h be (-2)\/(-3) + 9\/27. Determine t(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -841 - -846. Let a(q) = -q**2 + 4*q + 23. Let s be a(-3). Solve 0*c - c - 20 = v*b, 4*b = -s*c - 22 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d**2 - 2*d**2 - 3*d**2 + (61 - 61 + 22*d)*(5*d - 2*d - 4*d) - 2*d**2 + d**2 + 4*d**2)*(-1 + 4 - 2).\nAnswer: -20*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 102132310 (base 4) in base 3?\nAnswer: 10211211201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-six fifths of a tonne?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/32 and -37\/58.\nAnswer: 928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m**2\/4 + 1007*m\/4 - 5085\/2 = 0. What is m?\nAnswer: -1017, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((sqrt(12))**2 + sqrt(3))*5 + 2 - (sqrt(243)*-1)**2*5).\nAnswer: -1154 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/6 - (-2272010)\/540. Let a = -4205 + l. Calculate the common denominator of a and (-8)\/1 + 5\/((-225)\/(-264)).\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-66.\nAnswer: 13.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**3)\/w)**41\/(w**6)**(-40) assuming w is positive.\nAnswer: w**363","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.4 + -6.4. Let f = -25\/132 + -2\/33. What is the closest to f in -1\/11, -0.4, i?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 710, -60.\nAnswer: -60, 0, 3, 710","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d*d*(d**29\/d)\/d*d**(2\/7))\/(d*(d*(d**(-15)*d)\/d*d)\/d)**(-35) assuming d is positive.\nAnswer: d**(-2966\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 1328403*l. Let c(n) = 2*n. What is c(p(w))?\nAnswer: 2656806*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 265 + -269. Let k = -0.1 + -0.3. What is the third smallest value in 1\/8, j, k?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -139425, -278786, -418205, -557712, -697337, -837110, -977061, -1117220?\n\"Answer: -5*v**3 + v**2 - 139329*v - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (23\/(19320\/16))\/((817\/57)\/43)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1683100, 1683101, 1683102, 1683103, 1683104?\n\"Answer: n + 1683099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1020 (base 6) to base 5.\nAnswer: 1403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**2 - 2*u**2 + 2*u**2 + 3*u**2 + 0*u + 0*u + (5*u**2 - 3*u**2 - u**2)*(-2 - 3 + 4) + 10*u**2 + 84*u - 84*u.\nAnswer: 10*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -357163, -714328, -1071493?\nAnswer: -1428658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11113 is divided by 103.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -329319266?\nAnswer: -329319266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1146 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 69a08 - 3?\nAnswer: 69a05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/15 in 1.7, 6, -1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 c when four letters picked without replacement from cchccch?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-18)\/(-14) + (-2)\/7. Let a = n - -5. What are the prime factors of -3*(-1 + (-8)\/a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6c + 843749?\nAnswer: 8437b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 102937003*l**4 - 58*l**2 - 371040*l + 1.\nAnswer: 2470488072*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 4*j + 2. Determine o(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a - 59 - 49 = -8 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 282 divide 7050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of -4*t + 0*t**3 - 13\/12*t**5 - 4*t**2 + 0 - 4\/105*t**7 + 1\/60*t**6 + 0*t**4. What is the third derivative of d(k) wrt k?\nAnswer: -192*k + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2606360 and 26715190?\nAnswer: 106860760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58 divided by 58.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 7*t - 10. Let v be (1\/(-1))\/((8\/132)\/t). Calculate the greatest common divisor of 33 and v.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/49122288 and 23\/125472?\nAnswer: 98244576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, g: 3, r: 4, u: 3, z: 2, j: 3}. Give prob of picking 2 j, 1 o, and 1 z.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t. Suppose -4 + 0 = -4*f, 0 = -4*d + 2*f + 10. Let a(m) = 3*m - 3*m + d*m. Calculate a(n(s)).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 + 906*r + 24874. Calculate n(-27).\nAnswer: -317","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 0.68?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 11*r = -75. Suppose -3*p - r*k + 366 = -20*k, 2*p - 257 = k. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ckwknkckck. What is prob of sequence nw?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 18*j**2 + 42*j + 8. Let l(o) = o**3 - 18*o**2 - 43*o - 9. Let u(t) = 2*l(t) + 3*y(t). List the prime factors of u(20).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 19*m**3 + 1351*m**2 + 26*m - 39. Let k(f) = 3*f**3 + 225*f**2 + 4*f - 6. Calculate -6*h(l) + 39*k(l).\nAnswer: 3*l**3 + 669*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o**3 + o**2. Let p be u(1). Calculate the lowest common multiple of 1\/(1 - 3\/6) and 15\/p*(-2)\/3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 - 18 = 2*k, 0 = 2*o - 3*k - 11 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2\/7 - 36*w\/7 + 33\/7.\nAnswer: 3*(w - 11)*(w - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -3*a - 7 + 22, 0 = -5*a - l + 55. Let d(v) = 2*v + a - v - 13. Calculate the remainder when 7 is divided by d(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g + 7. Let t(w) be the third derivative of -w**4\/6 + 5*w**3\/2 - w**2. Let x be (((-87)\/(-870))\/((-4)\/30))\/(1\/(-8)). Calculate x*t(c) - 13*p(c).\nAnswer: 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3289979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1*sqrt(99))**2.\nAnswer: 24*sqrt(11) + 115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27 - 24)\/((-6)\/10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 505, 526, 265, -278?\n\"Answer: -141*l**2 + 444*l + 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2383726 is divided by 2071.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a milligram in micrograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.4215 - 17811?\nAnswer: -17800.5785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**2\/6 + 110595*g - 3317725\/6.\nAnswer: -5*(g - 132709)*(g - 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -4*v**2 + 2*v + 3. Let p(w) = -w**2 + w - 1. Let y(c) = -5*l(c) - 5*p(c). Solve y(a) = 0.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 14890, -6, 1, 78 in decreasing order.\nAnswer: 14890, 78, 1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*m = 94*m + 21. Calculate the remainder when m is divided by 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a milligram in micrograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 8) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -1209\/10 and -120 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -140365, -280621, -420877?\n\"Answer: -140256*k - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of 649*p**5\/6 - 227*p**4\/12 - p**3\/6 + 16*p**2 - 23. Find the second derivative of m(f) wrt f.\nAnswer: 12980","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 3?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 620802 to the power of 1\/2, to the nearest integer?\nAnswer: 788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-2) - (-48)\/6. Let z = l + -1. Sort z, 2, -4.\nAnswer: -4, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 + (-123 - (-92 + 37))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.19 + -0.29. What is the third biggest value in -0.3, 16, l?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 87 = -2*u, -4*p + 158 = 3*u - 0*p. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 2*r + 8188552 = 0, -3*r + 368426 = -2*f - 3725842. Let m = f + 669179. Let b = m + 337958. Round b to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 221 - 17*b**2 - 221.\nAnswer: -17*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*m - 549131 + 548011 = 0 for m.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l - 1. Let o(a) = a**2 - 2*a + 4. Let h(s) = k(s) + o(s). Let d be h(0). What is the units digit of (d + -1)\/(-1) + 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -159*f**2 + 159*f**2 + 273*f**3 - 833*f**3.\nAnswer: -560*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00494288 rounded to 5 decimal places?\nAnswer: 0.00494","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of 283*r**2\/2 - 34*r - 173. What is the tens digit of t(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00016804 rounded to five decimal places?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*i + 2 + (-i + i - 2*i)*(-2 + 3 - 3))*(742*i**2 - 25*i**3 - 742*i**2).\nAnswer: -150*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 17*m**2. Let s(t) = 238*t**2. Let x(j) = -85*r(j) + 6*s(j). Let u(d) be the third derivative of -d**5\/60 - d**2 - 7. Determine x(u(g)).\nAnswer: -17*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.5 + -2.5293. Round z to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13406?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -65*j**2 + 134*j - 561. Determine d(7).\nAnswer: -2808","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 9:09 PM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 12*v**2 - 101*v - 3. Calculate the remainder when 650 is divided by g(9).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 2*t + 2392, 5*u - 603 = 3*t + 11409. Round u to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5604718066 to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 660953095.\nAnswer: 5, 11, 19, 33289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b + 7489. Let i(p) = -205*p**2. Calculate o(i(h)).\nAnswer: -205*h**2 + 7489","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of u**3\/3 - u. Let v(j) be the third derivative of 0*j**3 + 6*j**2 + 0*j - 1\/8*j**4 + 0. Determine n(v(r)).\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10319 is divided by 321.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*t + 1 - 1)*(t + 7*t - 4*t + (4*t - 4*t + 5*t)*(-3 + 5 - 1) + 0 + 0 - t).\nAnswer: 48*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 46491982 - 46491982.24999989. Let k = -0.172 + -0.078. Let f = s - k. Round f to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, 10, 2\/49, 6, -51, 0 in decreasing order.\nAnswer: 10, 6, 4\/7, 2\/49, 0, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11901088 and 11901088?\nAnswer: 11901088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) - sqrt(132)*-2 - sqrt(132))\/sqrt(12) + sqrt(11) - (sqrt(11) + -2)*-5.\nAnswer: -10 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + 4*k - 2*k + (1 - 6 + 2)*(k + 0 + 0))*(-3*k**2 + 2*k**2 - 2*k**2 + (2*k + k - 2*k)*(-2 - k + 2) + 3*k**2 - 3*k**2 + 2*k**2).\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (9 + (-8 - -1)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5235*g**2*y - g*y**3 - g*y + 7*g*z - 521*y**3 - 2*y**2*z - 3*y*z wrt g?\nAnswer: -10470*g*y - y**3 - y + 7*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 254927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -174.6 to the nearest ten.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/9*(-6)\/(-4). What is the closest to 5 in -0.2, l, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -223 divided by 3.\nAnswer: -223\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, 13, 0, -3 in increasing order.\nAnswer: -5, -3, 0, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-138320)\/(-2470))\/((-21)\/(-27)).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 391054 is divided by 79?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -9316696.208 to the nearest 100.\nAnswer: -9316700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 0.4, 14.1, 8, 0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d - 5. Let t(z) = -4*z + z - 2 + 11. Determine -5*g(h) - 3*t(h).\nAnswer: -h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -4*p**2 - 12*p + 3. Let w(v) = v**2 + 4*v - 1. Give 7*w(i) + 2*x(i).\nAnswer: -i**2 + 4*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r. Let v(t) be the first derivative of -2*t**2 + 7. Determine v(x(n)).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13305, -25320, -37349, -49398, -61473, -73580, -85725?\nAnswer: -97914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3532, 3534, 3536, 3538?\nAnswer: 3540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 319 is divided by 104 - (72\/54 + 8\/(-6)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8495 divided by -1699\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10465400 to the power of 1\/2, to the nearest integer?\nAnswer: 3235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 4*m**3 - 8*m**2 + 7*m + 6. Let z(h) = -5*h**3 + 14*h**2 - 18*h - 12. Let q(v) = v**2 - 2*v - 1. Let y(u) = -5*q(u) + z(u). Determine 7*t(a) + 6*y(a).\nAnswer: -2*a**3 - 2*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7\/309 + -7802\/3399. Find the common denominator of (-46)\/(-80) + 7\/(-35) and l.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 702 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -260308 - -58?\nAnswer: -260280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(1700) + 2)**2 + -5.\nAnswer: 40*sqrt(17) + 1698","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 8:13 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 3*u = 12. Let d(o) = 5*o**2 - 4*o**2 - u*o**2 - o**2. Let v(f) = -3*f**2. Determine d(v(y)).\nAnswer: -36*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1953987170 rounded to the nearest 100000?\nAnswer: 1954000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(1053) - sqrt(1053)*-2) + -5 + 4 + 0)**2.\nAnswer: -162*sqrt(13) + 9486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -36676*a**4 - 7864*a**2 - 5.\nAnswer: -880224*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of j**3\/3 + 40*j**2 + 231*j - 2829. Find q such that g(q) = 0.\nAnswer: -77, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b. Let j(m) be the second derivative of m**3\/3 - 32*m**2 + 2*m - 1. Give w(j(f)).\nAnswer: -4*f + 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccqccccqfuccfuqu. What is prob of picking 1 c and 2 q?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*b + 5*t, 3*b + b = -t - 10. Let a(d) = 20*d + 2. Let u be a(b). Let m = -40 - u. Calculate the least common multiple of m and 22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 40*i*l**4 - 3*i + 2*l**4 - 69*l**2 + 3*l - 44 wrt l?\nAnswer: 480*i*l**2 + 24*l**2 - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.388 + 0.012. Put -0.4, q, 4 in decreasing order.\nAnswer: 4, q, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 - 2*k**2 + 5*k**2)*(-740*k**3 - 858*k**3 + 1364*k**3).\nAnswer: -468*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 341565588 divided by 5421676\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + k - 1 + 9, k - 4 = -2*m. Let q(y) = -y**3 - 6*y**2 - y - 5. Let a be q(-6). Suppose -2 = c - a. What is the closest to -5 in m, c, -0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 245867.263 rounded to the nearest 10000?\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13960*f*h + 7*h - 91 wrt f?\nAnswer: -13960*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21.0675 - -0.0675. What is the smallest value in -2, v, -0.9?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 3 y when four letters picked without replacement from {y: 8, a: 5, i: 2}.\nAnswer: 16\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9821, -9820, -9819, -9818, -9817, -9816?\nAnswer: -9815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 108639708 and -4?\nAnswer: -434558832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 3*a + 0*a)*(0*a**2 + 2*a**2 - a**2) - 19*a**3 + 56*a**2 - 56*a**2.\nAnswer: -18*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3\/7 - 122925*h**2\/7.\nAnswer: 3*h**2*(h - 40975)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 3. Let c(y) = -y**3 - y**2 + 2. Let l be c(0). Suppose -l*w - 8 = -6*w. Sort 5, w, m in decreasing order.\nAnswer: 5, w, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = 5*r - 30, -5*y = -0*y - 3*r - 6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45*20\/810 - (-26)\/90?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 106816413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1766*u**3 - 378*u + 2 wrt u.\nAnswer: 10596*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1010120011 + 221101?\nAnswer: -1002121210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2944664 to the power of 1\/3, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*o**5 + 22*o**5 - 7*o**5 + 8*o**2 + o**2 wrt o?\nAnswer: 660*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/11))**(-2\/67)\/(y**(-1\/20)\/y**6) assuming y is positive.\nAnswer: y**(89137\/14740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -10583544 divided by 6?\nAnswer: -1763924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6692814515 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25.8 + -23.8. Which is bigger: 1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -23*m**2. Let q(d) be the first derivative of d**3 + 96. Calculate v(q(r)).\nAnswer: -207*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 577935?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -113\/18 - -70\/9. Solve r - 3\/2*i**3 + 3\/2*i - 3\/2*i**2 = 0 for i.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16.89 - 1.19. Let j = -348579 + 348563.3109. Let k = j + o. Round k to 3 dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 - r**2 + 3*r**2)*(-3*r + 3*r**2 + 3*r) + 2*r**3 + 2*r**4 - 2*r**3.\nAnswer: 5*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -30) + (356 - 354)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.77 and 1047856276923.\nAnswer: 1047856276922.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.5 + -0.49. Let a = -7.01 + k. Let z = a + 7.00000002. Round z to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5512 is divided by 604?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 0*m + 2*m**4)*(-2*m + 0*m + m) + 0*m**5 + 0*m**5 - m**5 + (-m**3 + m**3 + m**3)*(3*m - 2*m**2 - 3*m) - m**2 + m**2 - m**5.\nAnswer: -6*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/3)\/m)**40*m**(1\/10)\/(m**1*m))**(-50) assuming m is positive.\nAnswer: m**(4285\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 56 + -60. Let f = 12 + a. Calculate the least common multiple of f and (0 - 24)\/(27\/(-18)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-270)\/63*(-135)\/(-60)*7 + 18\/12.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yooffooeefyifefofo. Give prob of sequence yie.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**4 + 205620*o**3 - 2805565830*o**2 + 12520061914820*o + 2467903894795395.\nAnswer: -5*(o - 13771)**3*(o + 189)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3831229 weeks in seconds?\nAnswer: 231712.72992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (116\/14)\/(22 - (58 - 39)) and ((-2)\/(-3))\/(4\/10).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/8)\/(((-4020)\/(-720))\/67).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -101303 or -97051?\nAnswer: -101303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + -1 - 2 - -6. Suppose n - 12 = -2*n. Solve z*g + 12 + 6 = 3*w, -5*w = -n*g - 26 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e, 1 k, and 1 c when four letters picked without replacement from kcene.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-seven halves of a year?\nAnswer: 222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of -n**2 + 3. Suppose 0 = 3*i + 4*l - 0*l + 5, -2*i + l = -15. Let m(b) = 34*b - 18*b - 15*b. Calculate i*m(j) + 4*o(j).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14999 - 23*z - 14999 + z - 2*z + 3*z - 1 + 1 + z + (-2*z + 2*z - z)*(3 - 4 + 3).\nAnswer: -22*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8436638ng in grams?\nAnswer: 0.0000000008436638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q = -5*q - 70. Let l be (1 - (-3 + 1)) + 17. Calculate the highest common divisor of l and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 3*x**3\/5 - 6*x**2\/5 - 237*x\/5 - 132 = 0.\nAnswer: -5, -4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m. Let j = 9 + -4. Let d(b) = -2*b**2 + 3*b - j*b + 2*b. Calculate d(y(z)).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-2*sqrt(1620) + sqrt(45))\/sqrt(3))\/(-2*sqrt(48)*5).\nAnswer: -5 + 11*sqrt(5)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 PM and 8:06 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(-7\/3)\/h)*h*h**(-1\/18)*(h\/h**(-5))**(10\/7))**(-19) assuming h is positive.\nAnswer: h**(-33155\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/54)\/((-12450)\/(-29880)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 28 = -4*q, 7*v = -5*q + 2*v + 65. Suppose u + 10*b - 6 = 7*b, -2*u + b - q = 0. Let d(a) = -a**2 - a - 1. Determine d(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*y + 338010 = 2*w - 82*y, 2*w = 2*y + 338052. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/5 + 292*f**2\/5 + 1698*f\/5 + 504.\nAnswer: 2*(f + 3)**2*(f + 140)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 272223 by 1043.\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 + 3*k - 42. Let b be h(-9). Suppose 0*j - 3*j + 3 = 0. Let z be 7\/(28\/b) - j. What is the nearest to 3\/2 in z, 5, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a millennium in decades?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -526*s + 254 + 255*s - 254 - 468*s.\nAnswer: -739*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6407003, 6407026, 6407049, 6407072?\n\"Answer: 23*w + 6406980","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -82743, -82744, -82747, -82752, -82759, -82768, -82779?\n\"Answer: -f**2 + 2*f - 82744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 77 - 73. Let m(n) = n**3 - 4*n**2 + 2*n - 6. Let u be m(l). List the prime factors of (-115)\/2*(-1 + u - 3).\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*s**3 + 22*s**3 + 18*s**3 + (-3*s**2 + s**2 + 4*s**2)*(2*s + s - s).\nAnswer: 26*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -240 + -101210020?\nAnswer: -101210310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/18856659 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10908529 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-42)*-7*(0 + 207). Let i = f - 136. Let b be 1\/2 + (-3)\/(-2). What is the greatest common divisor of b and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8364)\/(-19516))\/(9\/(-112))\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -457 divided by 2086\nAnswer: -457\/2086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 792 and 22661199?\nAnswer: 181289592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-3) + (-16181)\/(-209). Let r = m - 13904\/171. Is -6 not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 7*n**2 + 4. Let y be (51\/(-7) - 0) + (-6)\/(-21). Calculate the remainder when z(6) is divided by y + (-711)\/(-99) + 240\/11.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 425 by 425.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 9 in decreasing order.\nAnswer: 9, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {w: 2, v: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 5*b = 1061, 0 = -b - 2*b - 15. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 4*z + 44, 3*z - 17 = -i + 5*z. Let h = 2 - i. Let o = h + 15. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + 5*i - 4. Let g be u(5). Suppose 3*s - 18 = -3*r, -103 = -2*r + 3*s - 126. Sort 12, r, g in decreasing order.\nAnswer: 12, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 + -21. Let s be (-28 + q)*(1 - -3). Does 11 divide (s\/3)\/((-6)\/9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -397*n - 4343. Give m(-11).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -ace9b1 (base 15) to base 12\nAnswer: -291a857","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {p: 1, i: 7}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22.036 - 0.036. Let n = l + -21.9978. What is n rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 253 + -61. Let o = -144 + q. Calculate the least common multiple of 24 and o.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjmmetmajmjjxjjj. What is prob of sequence mje?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 17 divided by 56216\nAnswer: 17\/56216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.7 from -42867737.\nAnswer: -42867738.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-30)\/24*4*-16. Suppose -3*m + d = -m + 20, -5*d - n = 5*m. Do -2\/15 and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 5*h = 3*h. Put h, -3, -4, 1 in descending order.\nAnswer: 1, h, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*q + 42 + 116 = -283*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3*y**2 - y - 4. Let w(c) = -c**2 + c + 1. Let z(f) = k(f) + 4*w(f). Let j be z(3). Differentiate -2 + j + 0 + 2*o with respect to o.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - c**2 + c + 2. Let k be p(0). Let h be (-7 + 8)*k\/1. Let i(f) = 8*f**2 + f - 6. Does 22 divide i(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -12486, -12487, -12488, -12489, -12490, -12491?\n\"Answer: -w - 12485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is k in k**5\/10 - 941*k**4\/10 - 3788*k**3\/5 - 7592*k**2\/5 = 0?\nAnswer: -4, 0, 949","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13651133 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -112*m**2 - 49*m. Let r be (-9)\/(-6)*490\/15. Let d(u) = -7*u**2 - 3*u. Determine r*d(w) - 3*v(w).\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o + 70 = d, 11578*o - 11576*o = -2*d - 22 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 2:28 AM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-35895)\/(-5) - (-23 - -14).\nAnswer: 2, 3, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -11671 + -27?\nAnswer: -11698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -67000 - 372?\nAnswer: -67372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 8:37 AM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31928 and 936?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 PM and 6:25 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 935 and 57596?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 3. Let a = 0.8 + f. Let y = 0.075069 + -3.075069. Put y, 3, a in increasing order.\nAnswer: y, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/7 (b) -1 (c) 1\/4327 (d) -0.5 (e) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 227 = -47. Round z to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 13 + 9)*(0 - 2 + 1)*(-6 - 3*a + 6) - 2*a + 5*a - 5*a + (-2 + 2 + 2*a)*(2 - 1 + 1) to the form q + p*a and give p.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of -a**5\/10 - a**4\/4 + 5*a**3\/6 - 2*a**2 + 14. Let j(s) = s - 3 - 3 + s**2 + 5. Calculate 10*j(r) + 2*k(r).\nAnswer: -2*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 7 = 3*p. Suppose -3*k + 6*k = 156. Suppose -s + p*s + 5*y - k = 0, -4*y + 47 = 3*s. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 235?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -64*q + 14089 + 7735. Is q at most 341?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 9982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 6:41 PM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 3*s**2 - 19*s + 69. Let n be f(9). Let b = -114 + n. Suppose -4*o = -5*q + 3, 0 = 3*q + q + 5*o - 27. What is the highest common factor of b and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 555762776 divided by 4.\nAnswer: 138940694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 361 - 379.9. Let r = 18.900039 + n. What is r rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 4. Suppose 0*l - 4*l - 20 = -4*c, 4*c = d*l + 14. Solve -n - c = -5*q + 11, -4*n + q = 14 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (107*h**2 + 1403 - 110*h**2 + 136)*((0*h - h + 0*h)*(-2*h + 5*h - 4*h) + h**2 - h**2 + h**2).\nAnswer: -6*h**4 + 3078*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15576 and 33?\nAnswer: 15576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (-9)\/(27\/876)*(0 - 156\/16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -56 + 54. Let j be (-10)\/(-20)*s\/3. Is j > -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -24, -44, -82, -144, -236, -364?\nAnswer: -534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*h**4 - 168396*h**2 + 328814053?\nAnswer: 20*h**3 - 336792*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00832072661 plus -14.91?\nAnswer: -14.91832072661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, 4, 32, -5 in descending order.\nAnswer: 32, 5, 4, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(1\/3)*r*r*r\/r**6*(r**0)**(-1\/25))\/((r*r*r\/r**(-2\/11))\/r**(5\/6))**(1\/5) assuming r is positive.\nAnswer: r**(-47\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 + 5*k**2 - 6*k + 8. Let m be l(4). Suppose -9*g - 8 + 53 = m. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3069 or -3068?\nAnswer: -3068","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5760) + sqrt(5760) + (5*(5*sqrt(5760) + sqrt(5760)) - sqrt(5760)))\/(3*(1*sqrt(16))\/sqrt(2)).\nAnswer: 124*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34 - (-152 + 202)) + 73?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 141 a factor of 28764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 19*z**2 + 19*z - 22. Let w be d(1). Suppose 0*y - 16 = 4*y. Let m = y - -8. Calculate the greatest common divisor of m and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -184, -115, -46?\n\"Answer: 69*f - 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39, -46, -27, 24, 113?\nAnswer: 246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p**2\/8 + 141*p\/4 - 258 = 0.\nAnswer: 8, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 40489 (base 12) to base 3\nAnswer: 11020201020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 5*a - 23 = 20, i - 5*a + 19 = 0. Let s be (-4)\/6*(-18)\/4. Suppose s = -2*c + 23. Calculate the remainder when c is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*k - 0*k. Find the second derivative of -27*b + 3 - 12*b**2 - k + 32*b wrt b.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g**3 + 6*g**2 - 8*g - 2. Let v(l) = -l**3 - l**2 + l. Determine -6*v(r) - w(r).\nAnswer: 8*r**3 + 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -405776 (base 15) in base 6?\nAnswer: -145300233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k**2 + 77*k + 32. Determine o(-24).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/2*11*-2. Suppose -3*n + 428 = 4*x + 6, -5*n = -50. Is m equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w + 16. Determine m(-29).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2*3\/960)\/((-9)\/(-12)). Let q(i) be the third derivative of 1\/60*i**5 - l*i**6 + 0 - 2*i**2 + 0*i + 1\/24*i**4 - 1\/6*i**3. Solve q(w) = 0 for w.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*m**3*t*w - 28*m**3*w**3 - 4*m**3*w + 2*m**2*w**3 - t*w**3 wrt t?\nAnswer: 4*m**3*w - w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.4608862*-0.3\nAnswer: 0.13826586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4070 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/17 in 1\/4, 1347, -1, 3\/7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29969 + -18762. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/5774 or 1?\nAnswer: 1\/5774","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -49 + 53. Let 0 + 2\/3*i**3 - 2\/3*i**2 - 2\/3*i + 2\/3*i**x = 0. Calculate i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-17*1)\/(-1) - 2. Let y be (3 - 1)\/((-13 - -4)\/(-54)). Let w = c - y. Calculate the highest common factor of w and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of 0 - y**2 - 1\/330*y**5 + 0*y - 1\/11*y**3 + 1\/33*y**4. Find b, given that c(b) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.664897 milligrams to micrograms.\nAnswer: 7664.897","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**2 - d**2 + 3*d**2)*(-d - d + 3*d) - 2*d**3 + 5*d**3 - 4*d**3 + (-1 - 5 + 5)*(d**3 + 2*d - 2*d) - 5*d**3 + 4*d**3 + 3*d**3.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccmmcmmmeemccc. Give prob of picking 4 m.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1012105 (base 7) to base 9.\nAnswer: 203621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 14) in base 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11.6 - -11.305. Round g to two decimal places.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 9228 = -2*v, -8*v + 2*n = -13*v + 23022. List the prime factors of v.\nAnswer: 2, 3, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-2) - (-2 + 1). Let z(o) = -o + 4. Let m be z(v). Suppose 3*w - 2 = m*w, 5*b = 3*w + 176. List the prime factors of b.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -52574*x. Let v(k) = -k. Calculate v(w(y)).\nAnswer: 52574*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 7 = -h, -a - 4*h - 4 = -2. Let p be (-9)\/11 + (a + -6)\/4. What is the biggest value in 2, -13.4, p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 5 = y + 2, 2*o = 5*y - 42. Let q be ((-6)\/y)\/((-5)\/(-240)). Is 8 a factor of (-4)\/(-18) - 568\/q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 480 is divided by 158?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 + 34*v**2 - 216*v + 6415. What is b(33)?\nAnswer: 376","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -58, -56, -54, -52?\n\"Answer: 2*i - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 828387 and 96426.\nAnswer: 18224514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1573, -5, 0, -6 in ascending order.\nAnswer: -1573, -6, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74154146.\nAnswer: 2, 11, 449, 7507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23.705 - 0.005. Let n = 18 - 42. Let t = n + u. Which is bigger: t or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/((k*k**2)\/k))\/k)**6\/((k*k\/(k\/((k\/(k**(-4\/7)\/k))\/k)))\/(k*(k**9\/k)\/k)) assuming k is positive.\nAnswer: k**(-4\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 - 66\/(-42) - 81\/(-42). Suppose -2 = 3*s + 7. What is the nearest to b in 0, s, -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.167? (a) 12\/53 (b) -0.4 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 12:04 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1863 is divided by 462.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*m**5 + 2736535*m**4 + 43300105*m**3 + 33097865*m**2 - 7465650*m = 0.\nAnswer: -15, -1, 0, 2\/11, 49771","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1004336 greater than or equal to 1004396?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6058250?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.1, 3\/4, 3\/8, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 228590325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -993*j + 478*j - 886*j in the form y + l*j and give l.\nAnswer: -1401","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.993017 weeks to microseconds.\nAnswer: 600576681600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -203*a + 595*a - 180*a + 832*a**2 - 212*a - 416*a**2 - 411*a**2.\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 5*h + 41, h = -24*s + 20*s - 4. Let b(p) = 5*p + 35. What is b(h)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1193779 to the nearest 10000.\nAnswer: 1190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -333.9 - -379. Round j to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 145236?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6321111 (base 7) in base 9?\nAnswer: 1380540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-4) + 1 - 91\/(-52). Let o(r) = 5*r**2 + 162*r + 135184*r**3 - r**i - 4 - 162*r. Let d be o(3). What is d rounded to the nearest 100000?\nAnswer: 3700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of 97*c**6\/5 - 379*c**4\/6 - 538*c. Find the third derivative of d(u) wrt u.\nAnswer: 13968*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1876 divided by -938?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2831 - -2833. Which is the nearest to 0.1? (a) 4\/9 (b) w (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 60 = 3*s. Let p = -636 - -639. Suppose w = -p, -2*q + 37 + s = -3*w. Is q a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*r**3\/3 - 12*r**2 + 8*r\/3.\nAnswer: 4*r*(r - 2)*(4*r - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) + sqrt(156) + 4*((-1*sqrt(156) - sqrt(156)) + sqrt(156) - sqrt(156)))\/sqrt(12))**2.\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 4*s**2 - 5*s + 6. Suppose z + 8 = 5*a - z, -5*z - 5 = -5*a. Calculate the remainder when j(-5) is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, 0.501, -0.5, -1, -11?\nAnswer: 0.501","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 17 = 4*u + 5*l, 5*u - 5*l = 25. Factor 1\/2*m**u + 0 - m.\nAnswer: m*(m - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 475604 times 1.64\nAnswer: 779990.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 - 17*g + 8137. Calculate i(82).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*c**4*m - 3*c**4 - 2*c**3*m**2 + 2*c**2*m**2 + 26*c**2 - m**2 wrt c?\nAnswer: -408*c*m - 72*c - 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-63)\/(-6)*(-72)\/(-63). Suppose -79853 = -k*x + 1159. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 PM and 4:40 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 72312 - 72315 + 455*c**5 + 50*c**5 - 30*c wrt c.\nAnswer: 10100*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 834 and 695.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 765 and 2448?\nAnswer: 12240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 82567 - 75419 = -65277. What is the hundreds digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 8*j**2 - 8*j + 46. Let w be q(-8). Suppose w*y = 108*y + 168. What is the lowest common multiple of 6 and y?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 523 + -519. Let u(x) = -x - 2. Let s be u(-1). Let y be s\/(-4) + 10\/24. What is the third biggest value in 2, q, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 1 + 3*x + 0*x - 4*x. Let d be y(0). Solve d = -2*k - 3*m + 4, -4*k + m = -13 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -9. Suppose -5*v + 47 = -2*q - 0*q, -c = q. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -3, -38 in descending order.\nAnswer: 10, -3, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 85 - -162. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -1807316*d - 12. Let z(g) = -602439*g - 4. Let q(s) = 4*k(s) - 11*z(s). Let x be q(5). Let j = -7112179 - x. Round j to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3505642?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 - -0.03084\nAnswer: 0.23084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - h = 0. Solve h = 4*y - 4 - 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 4*p**2 + 2*p - 5*p**2 + 5*p - 6 - p. Calculate k(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3637490 to the nearest 100000.\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2. Let a(v) = -v**2 + v + 1. Let y(f) = -125*f**2 + 150*f + 150. Let z(x) = 150*a(x) - y(x). Determine j(z(l)).\nAnswer: 625*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -86*y**3 + 216*y**3 - 75*y**3 + (y + 0*y + y)*(0*y**2 + 0*y**2 + 2*y**2) - 3*y**3 - 4*y**3 + 5*y**3.\nAnswer: 57*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 120633.23 rounded to the nearest 100?\nAnswer: 120600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -179 divided by 119773\nAnswer: -179\/119773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three tenths of a century?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3*6.5\nAnswer: -19.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k*k**(-6)*k)*k*k**(8\/7))\/(k**(-2\/7)*k*k**(-2\/19)*k) assuming k is positive.\nAnswer: k**(869\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/75 - 2921\/150. Let g = 89 - 84. What is the common denominator of v and 1 + 16*g\/(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113.83 rounded to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 9*g**2 + g - 6. Let o be 1\/((-4)\/(-24)) - 2. Let b(p) = -p + 6. Let v be b(o). What are the prime factors of h(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 3 - 1)*(27193 - 27193 + 6103*r**2) in the form j*r + m*r**2 + u and give m.\nAnswer: 6103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1830083, 1830071, 1830059, 1830047, 1830035, 1830023?\n\"Answer: -12*i + 1830095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a day in minutes?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of r**5\/30 - r**4\/24 + r**3\/6 + r**2. Let b be (-2)\/4 - 2\/(-4). Suppose 4*d = b, -3*t + 6 = -d - d. Give o(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -228 - -231. Let g be u*2\/(-6)*(-3 + -2). Solve g*f = -2*r + f - 22, 2*r + f = -7 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 40943.228.\nAnswer: -40944.228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 274 and 685.\nAnswer: 1370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 382 + -382. What is d in 0*d + n + 1\/3*d**4 + 0*d**3 - 1\/3*d**2 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*d - 0*d + 90. Let t be d\/25 - (429\/(-15) - 2). What is the third derivative of t*n**2 + 652*n**4 - 628*n**4 + 5*n**2 wrt n?\nAnswer: 576*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52323201 (base 7) to base 9\nAnswer: 8260453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 645360949 to the nearest integer?\nAnswer: 864","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 49595.99 litres in millilitres?\nAnswer: 49595990","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1436863101?\nAnswer: 3, 478954367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1830*b**3 + 2481*b**3 + 68845*b - 68845*b.\nAnswer: 4311*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -2, 0.8, -10, -4, 0.926, 0.5?\nAnswer: 0.926","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -268, -2334, -8074, -19366, -38088, -66118, -105334, -157614?\n\"Answer: -313*v**3 + 41*v**2 + 2*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/(-13)*1352\/(-2288)?\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1854 = -0*c - 2*c - 4*p, 4*p + 2791 = 3*c. Let r = -156 + c. What are the prime factors of r?\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.147 bigger than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2051886 is divided by 795.\nAnswer: 786","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 16*l**2 - 21*l - 11. What is o(-14)?\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 8) + 162 + -159 + -33?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -21. Suppose 1 = 5*m - 4. Suppose -2*f + w = m, -1 = -4*w + t. Solve -3 = -5*a + f*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3605740 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 475956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4020 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 132, -1, -2 in decreasing order.\nAnswer: 132, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 18187550\/110 + (-60)\/165 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 127697?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5566 in -38, 1\/3, -34?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000610055 rounded to seven dps?\nAnswer: 0.0000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 6, 2*y - y - 2*a - 23 = 0. What is the remainder when y is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-2\/5))**(1\/3)\/(y\/y**(-3)*y**(4\/15)))**(-5\/3) assuming y is positive.\nAnswer: y**(19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 80 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -v**4 + v**3 + 1062*v wrt v.\nAnswer: -12*v**2 + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 + 12*p - 23. Determine f(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2*c - 3*q + 9 = 0, -5*c + 6 = -4*q. Calculate the remainder when 2 is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-52))\/((-3)\/(-4))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5 + -2*(-3)\/3. Let k = m - -9. What is the greatest common factor of 6 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.264 + 0.464. Let l be 3*(0 - 2\/(-2)). Suppose 3*y - 9 = l*m, -2*y - 4*m - 18 = -0*m. What is the fourth biggest value in -0.4, f, y, 3\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 11354?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.138177435 + -1155.050946535. Let p = -1177.91277 - a. Let c = p - -23. Round c to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 159562 and 0.8.\nAnswer: 159562.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4675600 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -510 + 532. What is the least common multiple of 187 and u?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 300 and 20?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5401 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 and ((-8)\/(-12))\/((-10)\/30) + 22?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of -z**4\/24 - z**3 + 2*z**2. Let u be h(0). Let l = 59674 + -59676. What is the nearest to -2\/5 in u, l, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -6*b**3 + 5*b**2 + 12*b. Let j(o) = -o**2. Give -4*j(g) - r(g).\nAnswer: 6*g**3 - g**2 - 12*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.040488818 to 4 decimal places.\nAnswer: -0.0405","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.406 + 0.668. Let c = 6.016 + k. Let j = c - 7. What is j rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 5:58 AM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x. Let z(n) = -21*n - 6443. Calculate z(v(f)).\nAnswer: -21*f - 6443","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**2 - 3*t. Let w be (1\/(-2))\/((-2)\/8). Let x be u(w). Solve 2*d = -x*n, 2*d + 3*n + 1 = 6 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 658 - 563?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 2, 3*g + 5 = u + 10. Put 238, u, 0 in descending order.\nAnswer: 238, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -l**3\/3 + l**2 - l + 131. Determine u(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -3*w**3 + 3*w**2 + 5*w. Let n be r(-2). Let m = -24 + n. Which is the second biggest value? (a) 1 (b) -0.4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 905 and 0.06?\nAnswer: 904.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 7)*(-13*g**4 + 2*g**4 - 12*g**4 + (g**4 + g**2 - g**2)*(0 + 1 - 3)).\nAnswer: -175*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 14570232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6.935244 millennia?\nAnswer: 83222.928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2250.05453 + 2250. What is r rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, o: 1}. What is prob of picking 2 v?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 3*g - 13, 3*g - l = 2*l + 9. Let k be ((-152)\/95)\/(-2*g\/5). Let b be (-6)\/10 + 9\/15. Solve 4 = k*t + d, b - 20 = 5*d for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28964.2*3\nAnswer: -86892.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 6*a**2 - 7*a + 3. Let h be k(6). Let r be 3\/(-12) - h\/12. Solve 0 = -m + 2 - r for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -22, -41, -76, -133, -218, -337, -496?\nAnswer: -701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 313579070 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 8631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 115*b**3 - 2*b + 9 - 107*b**3 in the form s*b + y + q*b**2 + n*b**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 AM and 3:18 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -7*l + 360. Is 10 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*l + 4*g - 829, -538 = 7*l + 4*g - 773 for l.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a hour in minutes?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3 + 249*t**2 + 2175*t - 1150.\nAnswer: (t + 10)*(t + 115)*(2*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((0 + sqrt(68)\/sqrt(4))**2 + sqrt(51)\/(sqrt(3) + sqrt(12))) + (2*sqrt(102) - sqrt(102))\/sqrt(6) + 2 + 1.\nAnswer: -82 - 2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 290130?\nAnswer: 2, 3, 5, 19, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a day in minutes?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 8:00 AM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 244581361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -13*l**2 + 3*l - 4. Let u(w) = w**2 - w - 1. Let t(n) = -2*b(n) - 6*u(n). Find the first derivative of t(h) wrt h.\nAnswer: 40*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -23855, -48071, -72283, -96491?\n\"Answer: 2*b**2 - 24222*b + 365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -147 + 15. Let s = -113 - w. Solve -5*f - 14 - 13 = g, -2*g - s = 3*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 7*d**2 + 12*d - 4. Let k be v(-4). Let s be (-46)\/k + (15\/(-6))\/(-5). Suppose 5*r = 108 + s. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.6 - 758.\nAnswer: -755.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 4*s + 7. Let w be h(0). Suppose f = 4*m + 181, -5*f = -w*f - 5*m + 349. Round f to the nearest ten.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j - 12*j + 27 = 3*k, -j - 109 = -15*j - 0*k - 5*k for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 2:01 PM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*8.\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3393631 is divided by 47?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27382 - 27382 + 478*l)*(-1 + 4 - 1)*(0 + 0 - 2).\nAnswer: -1912*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 59*30*3\/6. What is the greatest common divisor of 15 and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1800 = 6*u + 1716 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99 + 164 = 13*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 10 = 1. Suppose -3*h + 3 = 15, -104 = -f*a + 2*h. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2616 (base 11) in base 7?\nAnswer: -12633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 75 = -0*f + 3*n, -2*n = -5*f + 182. Let o be (-58)\/18 + 8\/f. Which is the nearest to 0.1? (a) -0.2 (b) -0.03 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.3838 tonnes to nanograms.\nAnswer: 84383800000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 34*m**3 + m. Let f be -1 - -3*(0 - -2). Suppose -2*y = 3*y - f. Is l(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*(r**(-34)\/r)\/r)**29)**(-17) assuming r is positive.\nAnswer: r**17255","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66366?\nAnswer: 2, 3, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10\/239 - -151805\/956. Let u = -99 - 59. Let x = h + u. Which is the closest to -1? (a) 4\/9 (b) -3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*(d**0*d)\/d)\/d*d**(2\/3))\/((d\/(d\/(d*d*d**(-1)*d*d)*d*d))\/d**(3\/2)))\/(d**(-6)*d**1)**(-3\/4) assuming d is positive.\nAnswer: d**(-31\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bxb when three letters picked without replacement from bbbbbbbbbxbbbbb.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**8\/(n\/((n\/((n\/n**(-2\/7)*n)\/n))\/n)))\/((n\/(n**(-2\/21)*n))\/n**(-3))*n**1*n\/(n\/(n**0\/n*n)*n)*n*n*n**3*n*n*n**8 assuming n is positive.\nAnswer: n**(370\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3054 + -3054. Let v(p) be the second derivative of 5\/2*p**2 - 15*p + b - 1\/2*p**3. Let r(o) = -1. Determine 6*r(s) + v(s).\nAnswer: -3*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/36 and 2*((-15)\/1620*66)\/(4\/22).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k + 6*k - 12*k)*(-4*k**3 + k**3 - 2*k**3) + k**4 + 0*k**2 + 0*k**2.\nAnswer: 51*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 23111321031 (base 4) to base 13\nAnswer: 801435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15428 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*b + 184 - 30 = -71 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 7:10 PM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 - 7*d - 2. What is the remainder when (-3)\/(-3) - 42\/(-3) is divided by m(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1156)\/(-578))\/(3\/(-20))*-1*(-99)\/(-11).\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 260899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 12080229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5189?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.41 + 0.01. Suppose -3*y - 1 = c, -c - 2*y + y = -9. Let m be -1 - (c + (0 - 3))\/(-6). What is the third biggest value in 4, m, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -252207*1.27\nAnswer: -320302.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cr when two letters picked without replacement from {j: 6, o: 4, t: 5, r: 1, c: 4}.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12635 - (7 - (16 - -6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/(sqrt(55)\/sqrt(20)))**2 + -1 + 4*(3*sqrt(363) + -3 + sqrt(363))**2.\nAnswer: -1056*sqrt(3) + 23279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of -11*m**6\/5 + m**5\/10 + 9*m**4 - 37*m - 1. What is the third derivative of z(c) wrt c?\nAnswer: -1584*c + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14 or -0.05365854?\nAnswer: -0.05365854","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-4*sqrt(117)*-2 - 2*sqrt(117)*-4)\/((-2*(2*sqrt(63) - sqrt(63)))\/sqrt(7))*-4.\nAnswer: -64*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d + 6. Let z be l(6). Let n be (3 + z - 2)*3. What is the second derivative of -q**3 + 0*q**2 + 2*q**2 + n*q - 2*q**2 wrt q?\nAnswer: -6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 6, 1156, -4, 2, -5 in ascending order.\nAnswer: -5, -4, -2, -1, 2, 6, 1156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 473741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7 + 1 + 1 - 2. Let i be (v\/(-2))\/(2\/(-4)). What is the remainder when (-1*i)\/((-1)\/1) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a768 (base 14) to base 10.\nAnswer: 28904","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i\/(i\/i**(2\/3))*i)*i)**(24\/13))**(4\/9))**(2\/63) assuming i is positive.\nAnswer: i**(64\/7371)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 14) in base 13?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + -11 + 12)*(26\/(-30))\/1.\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 p when three letters picked without replacement from {q: 3, r: 3, y: 2, g: 1, p: 4, t: 2}.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2 + 2*k + 40.\nAnswer: -2*(k - 5)*(k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 9:38 AM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**2\/6 - 320*m\/3 - 650\/3.\nAnswer: 5*(m - 130)*(m + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13550.\nAnswer: 2, 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of 3*q**5\/10 - q**4\/4 + q**3\/3 + 6*q**2 - 33*q. Suppose -4*r + 25 = r. Is a(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = -0*a - 2*a. What is the common denominator of (700\/126)\/((-2)\/6) and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or -212\/27?\nAnswer: -212\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -35*r + 101 + 109 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2150.7452 + 0.2548. Let q = -2152.4128 + m. Let y = q + 1.4. Round y to three decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 PM and 3:20 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37772\/1278 + 60\/(-2)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -11. What are the prime factors of m + 50 + (-6 - -10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**3 + t**3 - t**3)*(598 - 4888*t**2 - 296 - 302).\nAnswer: 9776*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 + r - 1. Let u(v) = -5*v**2 - 4*v + 7. Let w(k) = 3*j(k) + u(k). Let i(m) = 1. Let f be -1 + -5*4\/(-10). What is f*w(a) - 6*i(a)?\nAnswer: -2*a**2 - a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -2\/9, 14, -2.9, 2\/39, 7?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/35*105\/189.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 87429 <= 1332?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + (-3 - -5))\/((170\/(-70))\/(-17)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31224186?\nAnswer: 2, 3, 7, 247811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*b - 5*h, b + 4*h + 5 + 11 = 0. Suppose l - 5 = -0, -4*w + 4*l - 20 = b. Suppose 4*j - 21 + 9 = w. Solve -j*g - 12 = t, g - 4 = t - 8 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -970 or -959?\nAnswer: -959","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 73 - 2*g + 74 - 78 - 41*g**2 with respect to g.\nAnswer: -82*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*b = 27*b + 216. Let m be 2*2 + -2 + 28. Let g be b\/30 + -6*(-208)\/m. Solve 5*h - 7 = 3*d - g, 22 = -3*h + 2*d for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r - 8 + 14 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -n**4\/10 + 2188*n**3\/5 - 169623*n**2\/10 + 208366*n - 824030 = 0?\nAnswer: 10, 19, 4337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -479 - -485. Solve 2*h + l = 2*f - 10, -5*h = 5*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 319 - 316. Let j(s) = b*s + 3*s + s - 5*s + 2*s. Let r(a) = 61*a. Calculate j(r(u)).\nAnswer: 244*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 328*n**3 + 47352 - 4*n**4 - 126084 + 16709*n + 70771*n - 9072*n**2.\nAnswer: -4*(n - 27)**3*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-27685)\/14)\/((-2)\/(-2) + (-189)\/182).\nAnswer: 5, 7, 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 - 2. Let t = x + 12. Is t a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 2, 2\/829, 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(3\/4)\/(i\/(i*i**(-1\/5)*i*i))*i*i**(-5\/4)*i*i*i\/i**(3\/2) assuming i is positive.\nAnswer: i**(19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 17) + 3 - (5 + -4 + 1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -871 (b) 8 (c) 429\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a millennium in decades?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -541 + 2722\/5. Which is greater: g or 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/3 - 1593454*f\/5 - 956072\/15.\nAnswer: -2*(f + 478036)*(5*f + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 229*y**5 - 1 + 763*y - 163*y**3 + 2 - 232*y**5 wrt y?\nAnswer: -60*y**3 - 978*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b = -1854 - 1206. Let j = -138 + b. List the prime factors of j.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10419518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -338 - -340.894. Let k = -0.326 - u. Round k to 0 dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12270 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -5 + (-6 - (-6 + -3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a meter in millimeters?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - 72. Let o = -25 - y. Suppose -489 = 43*s - 1113 + 452. What is the remainder when o is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12150)\/(-8505)*(-280)\/(-25)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1650\/7 - 8229\/35. Which is the nearest to -2\/3? (a) 1 (b) 13 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14300 and 11874720?\nAnswer: 59373600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 AM and 11:35 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 4, 5, -6, -3, 3, 142.\nAnswer: -13, -6, -3, 3, 4, 5, 142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -13*y**3 - 7*y**2 - 7*y. Let d(p) = -9*p**3 - 5*p**2 - 5*p. Suppose 6*s = -0*s + 30. Give s*a(g) - 7*d(g).\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/10344 and 19\/44.\nAnswer: 113784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21079 or 1620?\nAnswer: 1620","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 <= 107?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6123*f + 6104*f - 54*f**2 - 12228*f.\nAnswer: -54*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n**2 - 30*n + 104. Let q be b(11). Calculate the highest common divisor of 1168 and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001021 rounded to 5 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12 + 300 - -5*1. What is the tens digit of (5 + -4)*1*j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**(-1)*c)**(-31))**(-1\/16)*c**(-4\/3)*c**5*c*c*c\/(c*(c*(c*c**(-2)\/c*c*c)\/c)\/c)*c\/(c*c**3\/c)*c assuming c is positive.\nAnswer: c**(229\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 6. Let h be (-1)\/j - 5\/15. Find the first derivative of 3*g**4 + 4 + h - 1 wrt g.\nAnswer: 12*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -782 + 787. What is the smallest value in x, 4\/5, 43?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201094.\nAnswer: 2, 100547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -104*f - 58. Let g(k) = 12*k + 235. Let a be g(-20). List the prime factors of v(a).\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -2. Let z = -3 - w. Let d = 3 + z. Solve d = -5*b + 7 + 13 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 4*z - 23 = 17, 5*z + 44 = -3*l. Let w be (-13)\/(-2) + 12\/l. Calculate the highest common divisor of w and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1918)\/(-822))\/(7\/(-6))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101 = -10*q + 9. Solve -5 = -q*k + 6*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -190, -251, 0 in ascending order.\nAnswer: -251, -190, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 14) to base 7\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17415\/209 + 435\/38. Let r = j - 185\/2. Find the common denominator of r and 5\/29.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 216420532*m**2*w - 387422925*w wrt m?\nAnswer: 432841064*m*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v**(-3\/10)))\/v)\/v*v*v\/(((v\/(v\/((v\/(v\/(v*v**(1\/3))))\/v)))\/v)\/v)*(v\/v**2)**(-3\/17) assuming v is positive.\nAnswer: v**(1093\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -7 - (-66)\/6*1. Solve -l + 8 = 5*u + 4*n, -4*n = 4*u - 4 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 4*o. Let l be p(3). Let u be (148\/l - -1)\/((-2)\/3480000). What is u rounded to the nearest one million?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -19*o**3 + 26*o**2 - 7*o - 9. Let b(d) = 12*d**3 - 17*d**2 + 5*d + 5. Let q(j) = -8*b(j) - 5*m(j). Calculate q(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 3. Let u be (5\/2)\/(1\/2). Suppose -u*s + 6 = -v, 0*v - 5*v = 3*s + 2. Put m, 2, s in decreasing order.\nAnswer: 2, s, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = 7 - 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 44*h. Let i(y) = 2*y - 138214. Give u(i(v)).\nAnswer: 88*v - 6081416","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.5 (b) 2\/11 (c) -1\/4 (d) 5 (e) -6 (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -898 or -897?\nAnswer: -898","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -375*r - 541 - 589 - 1181 + 374*r.\nAnswer: -r - 2311","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18937922.\nAnswer: 2, 449, 21089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35 and 84295.\nAnswer: 590065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*i - 117739 + 108233 = 0 for i.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32 + 2034*r - 257*r + 998*r - 32 to the form y*r + x and give y.\nAnswer: 2775","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153 = 96*h - 1322 + 131 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/81 + 16\/(-216).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b + 2. Let j(y) = -6*y - 5. Let r(u) = -3*u - 2. Let x(t) = -3*j(t) + 5*r(t). Give 5*w(n) - 2*x(n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 60513.05 millennia?\nAnswer: 60513050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence unnn when four letters picked without replacement from {n: 12, u: 1}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 198 and -0.45.\nAnswer: -89.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 AM and 10:29 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4171763349?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*d - 2*d + 3*z, 5*z = 0. Solve 2*m + g = 5, d*m + 4*g - 12 - 3 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143585945?\nAnswer: 5, 19, 79549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n - 4. Let o be b(-9). Let k(q) = 0*q + o + 7 + 0 - 2*q. Let i be k(-5). Calculate the highest common factor of i and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*z**2 + 23*z + 747 wrt z?\nAnswer: 4*z + 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 123, -5, 1 in increasing order.\nAnswer: -5, 1, 123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 250\/963 + -4\/107. What is the closest to 0.004 in 1\/8, 0.4, c?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*m - 2*m. Suppose -2*s + 40 = m*s. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 AM and 2:59 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1016.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, 1\/7, 3, -7\/6, 14\/179?\nAnswer: 14\/179","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3000 - 1737. What are the prime factors of r?\nAnswer: 3, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, r: 5, h: 1, d: 5, a: 1, z: 1}. What is prob of picking 1 z and 1 r?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.9352 - 1.2352. Sort a, -5, 17, -1\/7, -1\/3 in decreasing order.\nAnswer: 17, -1\/7, a, -1\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14243?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-99)\/27 + 5 - 616\/(-6). Let q = o - 78. Calculate the greatest common factor of 650 and q.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/9)\/((-44)\/4 - -5)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 250609 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 less than -3827114.05?\nAnswer: -3827133.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 6.4038 - -0.0347\nAnswer: 6.4385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -3) + 2 + -8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 + 9*h + 6. Let t be x(-8). Let m = 0.35 + -4.35. What is the second smallest value in m, 2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 692814109.\nAnswer: 13, 191, 279023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**4 - 238*c**3 - 369*c**2 - 44*c + 92.\nAnswer: -(c + 1)**2*(c + 46)*(5*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/48)\/((-156)\/(-702)).\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -i**3 - i**2\/2 + 4*i. Is u(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -3\/17 (c) -0.05 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 32 = -o - 5*q, -2*q - 8 = 0. Suppose 0*i = -2*i. Suppose -4*a = -h + 11, o*h = -i*h - 2*a + 116. What is the remainder when h is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11651*z - 4613 + 2302 + 2844*z + 2311 to r + s*z and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1729 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - 5*x - 6. Let r be y(6). Suppose s + r = 2. Solve 3*f + 5*d - 4*d = 14, -s*f + 2 = -3*d for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -37 + 41. Suppose 254 + 226 = 4*n - c*g, -3*n + 362 = -4*g. Let r = n + -113. Solve r*y + h = 1, -3*y + 9*h = 4*h - 23 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v**3 - 16*v**2 + 38*v + 90. Give c(-9).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of 0*z**2 + 0 + z + 0*z**3 - 1\/12*z**4. Let l(k) = 2*k. Give l(n(d)).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 9*r + 37. Let x be f(-9). Let i(j) = -12*j - 10. Let w be i(-7). Let k = x + w. What is the remainder when k is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.34? (a) -1 (b) -9 (c) 27 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -297, -584, -877, -1176, -1481, -1792?\n\"Answer: -3*v**2 - 278*v - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5c (base 13) to base 7\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 3, 95455, -2\/5, -0.14 in descending order.\nAnswer: 95455, 21, 3, -0.14, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -12573618 divided by 6\nAnswer: -2095603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 + 0.3. Let k(a) = 17*a + 1. Let x be k(-1). Let o be 0 - (x\/10)\/4. Put y, o, 3 in decreasing order.\nAnswer: 3, o, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 16\/28 - 94\/(-7). Suppose s - 415 = -r. Let j = -218 + r. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1200 - -2?\nAnswer: 1202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4919063387 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2\/9 - 114364*g\/9 + 114352\/3.\nAnswer: 4*(g - 28588)*(g - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 7 - (-7 + -2 + 13)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 634 (base 7) to base 4\nAnswer: 10333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (63\/(-168))\/((385\/(-14))\/11)\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 781813?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d**2*h**2 - 10*d**2*h - d**2 + 2279603*d*h**2 - 48*d*h - d - 2 wrt h?\nAnswer: -4*d**2 + 4559206*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 AM and 5:02 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 716 - 2616 = 0. Is (-6)\/10 + j\/(-85) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + -1)\/(114\/40 - 3). What is the greatest common divisor of f and 180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 - -25) + 1 + 2 - (1 - -16).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 12) in base 16?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -838*f = 1038*f - 520*f - 11142 - 71574 for f.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.5939215 millilitres?\nAnswer: 0.0005939215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z**2. Let f(n) be the third derivative of n**6\/180 + 3*n**4\/8 + n**2. Let h(j) be the second derivative of f(j). Determine i(h(m)).\nAnswer: 48*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.098 * -0.07.\nAnswer: 0.00686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from thhytst. What is prob of picking 1 s and 1 t?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3\/12 - 342\/(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 7, b: 1, w: 6, o: 2, v: 2}. What is prob of sequence vbww?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9 + 176\/32)\/((-21)\/6). Let z(c) = -c**2 + 5*c - 4. Let f be z(7). Let s be (f\/24)\/((-34)\/8). Which is smaller: s or g?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 + 13 + 15 + 3 + -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 2210 = 26*t. Is 34 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 219, 145, 21, -153?\nAnswer: -377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2894.47 + -2864. Let y = -30.46998303 + a. Round y to 6 dps.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of a**2 + 345*a - 1416 wrt a?\nAnswer: 2*a + 345","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -k**2\/2 + 2539*k + 5080 = 0.\nAnswer: -2, 5080","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 72, 91, 114, 141?\n\"Answer: 2*l**2 + 13*l + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*f**2 - 25 + 25)*(14 + 11 + 11) - 1 + 60*f - 2*f**2 - 60*f in the form i*f + c + j*f**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = d + 12. Let q be (d\/(-10))\/(2\/20). Solve -q*x + 15 = -7*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -10399, -15, 0.45?\nAnswer: 0.45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 3, -17, 7\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/((3\/(-27))\/((150\/72)\/25))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1\/4, 3\/2, -3, -101?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 less than 0.0828?\nAnswer: -16.9172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 15*q**2 - 4*q - 8. Let k be o(6). Let p = k + -10513\/36. Let h = 67\/180 - p. Which is the nearest to h? (a) 1\/7 (b) 3 (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/1*-4 + -1. Let n(m) = -m + 2. Let w be n(d). Let a = -1911 - -1911. Solve a = -3*v + 8 + w for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 145, 198, 251, 304?\nAnswer: 357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -13\/15, 221, 22, -6.9 in decreasing order.\nAnswer: 221, 22, -13\/15, -6.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/36 and -123\/280160.\nAnswer: 2521440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/3149 and 19\/209714?\nAnswer: 14050838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 x when four letters picked without replacement from xzaxzazxxxzaxxxxzxax.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -w, -2*g - 6*w + 6 = -2*w. Suppose 3*f + f - g*o - 30 = 0, -5*f + 5*o + 35 = 0. Solve -y = -0*p - 2*p, f*y = -10 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(2) + -2)*5.\nAnswer: 5 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 4:45 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.61 + 6.61. Let z = -2.1 + i. Let f = 0.9 - z. Which is the closest to f? (a) 0 (b) -1 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 445 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18121 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -67 + 29. Let l = r + 38.3. Which is the closest to -1? (a) -2\/9 (b) l (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = -2*o - 36, 2*p + 26*o - 29*o + 193 = 183 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -7*c + 3. Suppose p + 13 = 48. Calculate the remainder when x(-6) is divided by (-2)\/(-5) + 406\/p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*d + 5*d + 2*j, 2 = -2*d - 5*j. Suppose -3*u - d*l = -135969 + 915949, u + 259985 = -3*l. Round u to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -o - 3*z + 16*z, 8*o = 7*o + 3*z - 17 for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 25300*f**3 + 25*f**2 - 34*f + 10. Is z(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 6445, 5\/4, -67\/12, -4, -2\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 1461*w + 2479. Is s(18) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31608, -126444, -284506, -505794, -790308, -1138048, -1549014?\nAnswer: -2023206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/10*(-5148)\/(-1001))\/(18\/(-135))\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -95 + 99.1. Let t = m - 4.09. Is t <= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n**2 - 8*n - 9. Let f be u(-6). Let q be 12\/(-9)*f\/(-2). Let a be (-262)\/(-11) - 4\/q. Which is smaller: 25 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 13525.57 and -5964.\nAnswer: 7561.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 13) to base 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 59088 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 115 and 207?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 3*s - 1 = 23, 4*s = 2*h - 22. What is the lowest common multiple of h and ((-42)\/5)\/(129\/(-430))?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 26717475?\nAnswer: -26717471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 5)*(-3*c**5 + 2*c**5 + 0*c**5 + (0 + 0 + 2*c)*(0*c**4 - 5*c**4 + 3*c**4) + (0 + 0 - c)*(c**4 - 3*c**4 + 3*c**4)).\nAnswer: -12*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8d + -3027?\nAnswer: -2f9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 230*u + 233*u - 21 - 462*u - 143. Let x(z) = 2*z**2. Determine i(x(m)).\nAnswer: 2*m**2 - 164","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -2, 5, 40, 3 in decreasing order.\nAnswer: 40, 5, 3, -2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 15\/6 + 3\/(-6). Suppose c - 144 = -4*y + 3*c, -t = c. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1394605594 and -0.2.\nAnswer: -1394605594.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 0 = -g. Let z be ((-528)\/28)\/(g\/63). Suppose z = 4*u + 2*p, 0*u + 2*p = 5*u - 252. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 4, -2, 269, -19, -110 in descending order.\nAnswer: 269, 15, 4, -2, -19, -110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 896*t - 8982. Calculate v(10).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 778884989 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -30 - (147 + -39 + -72)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 35684, 35709, 35734, 35759?\n\"Answer: 25*m + 35659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1179281 is divided by 49?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 17*p = 110. Let w be 38\/19 + p + -2. Put -1, 0, w, -2 in descending order.\nAnswer: w, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 8:17 PM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 3 = -1. Let p = f + -8. Let o(h) = -h + 9. Is o(p) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 14 = 10. What is the tens digit of 81\/(-12)*(-16)\/p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/39 + 1*11546\/(-598)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 898 is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18226 is divided by 1516.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-1))\/(2\/12*9).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 20*p = -56. Let c be (p - (1 - 6))*0. Suppose 4*d + 5*f - 188 - 242 = 0, c = d + f - 107. List the prime factors of d.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-602)\/21*(-2 - 1). Let u be 0 + -1 - (-210 + -6). What is the greatest common factor of u and d?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 5 - (18 - (4 - -3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q. Let d(j) = 2*j + 2. Let g(y) = -2*y - 3. Let w(z) = 3*d(z) + 2*g(z). Calculate a(w(x)).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 26015426 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/8 - 1 - 5607\/(-356). Calculate the greatest common divisor of v and 272.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1295*z + 59 = -1294*z. Suppose -5*d - 32 = s, -s + 5*d - 3*d = 60. Let w = z + s. Is 4 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/8, -5, 0.6 in descending order.\nAnswer: 0.6, -5\/8, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 53 + -49. Let w = -0.01 - 0.39. Let m = w + 0.6. What is the third biggest value in -3, m, q?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 0. Suppose -d + 20 = -3*p, 0 = -0*d + 4*d - 5*p - 52. Let x be (-3)\/12 + (-2)\/d. Which is the smallest value? (a) h (b) x (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-576)\/9)\/16)\/(4\/2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in six fifths of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-1*(sqrt(187) + 6*sqrt(187)*1))\/(-3*sqrt(44) - sqrt(44) - -1*sqrt(176)).\nAnswer: -21*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 87840 and 2016.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -136 + 176. Let w be 564\/2 + -10 + j. What is the highest common divisor of w and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of 5*j**5\/12 + 20*j**4 + 384*j**3 + 1410*j**2. Find m, given that s(m) = 0.\nAnswer: -48\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + (sqrt(832) + -2)**2 + sqrt(13) + -4.\nAnswer: -30*sqrt(13) + 832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from hhakhkhbkjhad?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5276562760?\nAnswer: 2, 5, 7, 29, 157, 4139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/85752 and -71\/66696.\nAnswer: 600264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11615532 and 8?\nAnswer: 23231064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -14 * 84.7\nAnswer: -1185.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 10*z + 12. Let y = 147 + -138. Calculate g(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1045256*j**2*o**3 - j**2 - 2*o**3 - 5299*o**2 - 8 with respect to j.\nAnswer: -2090512*j*o**3 - 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = b + 2, h + 35*b - 6 + 143 = -31*b for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**2 + 14*g + 14. What is a(8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-6))\/1 + (-88)\/33.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**3 + 9*c**2 - 12*c - 17. What is j(-6)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15324*a**3 + 143840*a**2 + 289100*a - 235000 = 0. Calculate a.\nAnswer: -5, 2350\/3831","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23276793*u + 18397836.\nAnswer: 23276793","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 283.9, 2\/11, 172?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 60689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*i = 448 - 503 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.0309 and 0.0790049176.\nAnswer: 0.0481049176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*p**6 - 188083*p**4 + 31*p**2 - 8750*p - 6?\nAnswer: 240*p**3 - 4513992*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -175, -8235, -3, 12 in descending order.\nAnswer: 12, -3, -175, -8235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 36 = 2*i. Suppose 2*n + i = 3*n. Suppose x - n = -x. Is 6 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 4:51 AM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + o. Suppose 4*m = 3*p + 2*m - 94, 0 = -4*p - m + 140. Let a = -29 + p. Put o, -5, a in ascending order.\nAnswer: -5, o, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14147591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = v - 15. Let y be (10\/4 - 3)\/(v\/196). Let t = y + 80. Is t less than or equal to -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**8\/(r*r**(-2\/11))*(r\/(r*r**7))\/(r*r**(-1\/14)*r) assuming r is positive.\nAnswer: r**(-269\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4*-5*(-90)\/(-200)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 384652.\nAnswer: 2, 23, 37, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - 3*g**2 - 3*g. Let c be 22\/8 + -3 + 14\/(-8). Let u be y(c). Suppose -f = -k + u*f + 3, 3*k - 4*f - 9 = 0. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5 - 311*i**4 + 162*i - 162*i - 90 wrt i.\nAnswer: -1244*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1444464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4*-4*(-1)\/8. Calculate the remainder when 13 is divided by (-2)\/(i - (-9)\/6).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of -s**4\/12 + s**3\/3 - 24*s**2. What is i(8)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -562 - 229*w**2 + 126 + 135 + 124 + 177.\nAnswer: -229*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 9*s**3 - s**2. Give z(2).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 280*z**2 - 965*z**4 + 445*z**4 + 524*z**4 + 284*z**3.\nAnswer: 4*z**2*(z + 1)*(z + 70)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 53*m**2 + 19*m + 1. Is q(11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 168737?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -17269*q**2. Let m(i) = 12*i**2. Calculate m(n(u)).\nAnswer: 3578620332*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 8*t**2 - 4*t. Let d(g) = 2*g**2 - g. Suppose -15*n - 3*n = -162. Calculate n*d(o) - 2*l(o).\nAnswer: 2*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1322 is divided by 645?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-166715792.\nAnswer: 333431584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 46\/6 + 18\/(-2). What is the smallest value in -5, m, 108\/11, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7182.228 hours?\nAnswer: 25856020.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53260484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 42487.91 weeks?\nAnswer: 25696687968000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**2 - 21*q - 3430. Calculate y(47).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, 4, -5, 0, 3 in decreasing order.\nAnswer: 4, 3, 0, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 332749872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-50*j + 59*j - 5 - 78*j)*(3*j - 3*j - 2*j) as r*j**2 + d*j + g and give d.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5193?\nAnswer: 3, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -150*a**4 - 2*a**2 - 6?\nAnswer: -3600*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/14 + (-2)\/(-7). Let i(k) = 8*k - 4. Let d be i(x). Let s be 24\/(-180) - d\/(-30). Solve -g + 2*g = s for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1356\/19 or 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 2*h - 549, -2*h + 1101 = 2*h - 3*s. Let r = h + -186. Is r a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -150 - -160. Let c = -13 - -16. Calculate the least common multiple of z and (c\/1)\/(15\/20).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/((-96)\/(-188)) + -11.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -32*z**2 + 4*z - 2. Let f be j(-4). Let w = 894 + f. List the prime factors of w.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.4 + -0.7. Let m = 460\/7 - 66. Let v = 156.4 - 156.8. Which is the closest to -2? (a) m (b) v (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71749789 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-6)*(-6)\/(-8)*16. Let c be (-2652)\/459 + f\/(-18). Let m(r) = -r + 1. Let n(g) = -g**3 + 7*g - 7. Give c*n(z) - 42*m(z).\nAnswer: 6*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 1292?\nAnswer: 3876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -11*g + 3. Let t(o) = 8*o + 3*o - 7*o - 1. Let i(k) = -3*b(k) - 8*t(k). Let d(h) = h - 8. Let r be d(4). Give i(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/5 of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2843451 and 351.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*h - 21*h + 6*h + 0 + h + 0 - h + h - 2*h + 3 + 2*h - 3 + (2 - 1 + 0)*(3*h - h + 0*h) - h - 3*h + 3*h - 3 + 3 + 2*h in the form f*h + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z**3 + 5*z**3 + z**3 + (-z - 2*z + 2*z)*(z - z - 2*z**2) - 2*z**3 - 4*z**2 + 4*z**2 + z**3 + 2*z**2 - 2*z**2)*(3*z**2 - 3 + 3).\nAnswer: 9*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/50)\/((-28)\/(-21)*21\/(-140)).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2640 and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + -0.06. Let g = -1.06 - j. Which is smaller: g or 2\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 59.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1748120239 is divided by 382.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47, 68, 89, 110, 131, 152?\nAnswer: 173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(4\/13)*l*l*l**37)**(-15) assuming l is positive.\nAnswer: l**(-7665\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -42 + (16 - -55) - 27?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r - 3. Let k be j(3). Suppose k = -o + 3*o - 12. Calculate the remainder when 10 is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2, -67, 2\/29?\nAnswer: -67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -395 - -399. Suppose -o + 5*x = -0*o - 5, -3*o - n*x = -15. Solve o*p + 6 = d + d, 0 = d - 4*p - 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of -328*p**3\/3 + 17*p**2 + 16*p. Let b be t(13). Let l = b - -2494. Round l to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 + 196*p + 2. Let h be z(0). Let l = 6743\/8 + -841. Suppose -l - 3\/2*g + 3\/8*g**h = 0. Calculate g.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 40769\nAnswer: 1\/40769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 98 + -100 + ((-18 - 4) + -1 - (-1 - -3)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1394\/(-170) - -8)*(-10)\/8. Which is greater: -4333 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f + 12. Let n be x(0). Suppose 6*o + n = 2*o. Let l = -1 - o. Solve -l*y = 2*y + 20 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a**3 + 7*a - 7. Suppose 0 = 4*y + 4*r - 44, 4*y + 3*r - 53 = -13. Let j(c) = c**3 + 4*c - 4. Calculate y*j(g) - 4*o(g).\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 15*q**4 + 349295*q**3 + 25873245*q**2 - 188832455*q - 65806020 = 0.\nAnswer: -23212, -81, -1\/3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3481 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -17) + 1 + (-2 + 12 - -1)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w. Suppose 22 - 8 = 2*d. Let o(u) be the first derivative of -3*u**3 + 24 + d + 6*u**3 + 3*u**3. Determine h(o(i)).\nAnswer: 18*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 653 (base 10) in base 14?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + 2*y + 5. What is n(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**2 - 17*k + 3. What is the remainder when 0 + -2 + 1 - -22 is divided by c(-8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.55462007 rounded to 2 decimal places?\nAnswer: 23.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-147)\/12 - (-1)\/4. Is -14*(-3)\/(z\/(-62)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 488, 534, 602, 686, 780, 878, 974?\n\"Answer: -j**3 + 17*j**2 + 2*j + 470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -22.317806528 to two decimal places.\nAnswer: -22.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 x when two letters picked without replacement from {g: 4, x: 2, k: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4001 - 4001 + 10*q.\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -3*f**3 + 20544510*f**2 - 35173074261675*f = 0.\nAnswer: 0, 3424085","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 3*t**3 - 108*t**2 + 855*t + 2166 = 0.\nAnswer: -2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1\/((-22)\/3223))\/((-1)\/2) is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/33 or 5?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 2*m + 4*m)*(-3*m**2 + 3*m**2 + m**2) + (-3*m + 5*m - 4*m)*(110*m**2 + 42 - 42).\nAnswer: -215*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -9.81 and -2\/13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 56483 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(5\/300*10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -39 - -32. Let c = 110 + f. Suppose -c = -2*b + 3*w, 3*b + 3*w - 150 = 6*w. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -5 + 16 - 1 - 6 - v**2. Let y(h) = 3. Suppose -3*s - g = -4, 2*s - 4 + 3 = -g. Let a(l) = s*y(l) - 4*f(l). Differentiate a(n) with respect to n.\nAnswer: 8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 5*z + 2*z**3 + 12*z - 3*z**3 - 23*z. Let b be u(-3). Solve 5*p - 4*o + b = 0, 5*o - 30 = p - 0*o for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j**5 + 23*j**4 - 25321*j**3 + 15699*j - 152 wrt j.\nAnswer: 40*j**3 + 276*j**2 - 151926*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 18*d**4 + 179*d**4 - 5)*(45 - 45 - 8*d).\nAnswer: -1576*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -58191 and -1.07724.\nAnswer: -58192.07724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2\/(-5) + (-92)\/(-5) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 2*u**5 - 115928*u**4 - 231864*u**3 - 4*u**2 + 231862*u + 115932 = 0.\nAnswer: -1, 1, 57966","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 3)*(-5*u**2 + 2*u**2 + u**2)*(-5 + 1 + 0).\nAnswer: -16*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of 11*b**4\/4 - 11*b**2\/2 + 25*b. What is the first derivative of x(p) wrt p?\nAnswer: 66*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123268*r**2 + 24*r**3 + 123268*r**2.\nAnswer: 24*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.18 + 0.02. Which is the nearest to l? (a) 1 (b) 0 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, w: 7}. Give prob of sequence ww.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 2:10 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lnnklk. Give prob of picking 1 k, 2 l, and 1 n.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 463 divided by 4\nAnswer: 463\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 1:58 PM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -46*u**2 - 17*u - 2. Let m(c) = 11*c**2 + 4*c + 1. Let p(l) = 9*m(l) + 2*q(l). Let s(g) = -6*g**2 - g - 4. What is -5*p(h) - 6*s(h)?\nAnswer: h**2 - 4*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (456\/(-95))\/(((-37)\/(-740))\/((-15)\/36)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -44588 - -81676. What are the prime factors of r?\nAnswer: 2, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138*m - 141*m + 274*m.\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 219093829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 30*p - 100. Let z be f(4). Solve 5*h + 2 = 2*s - 8, 5*h + z = 4*s for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 28*r**2 - 4*r - 5. Let q be v(4). Let f = 13714 - 13653. What is the highest common factor of f and q?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 22 = 4*w, -6*w + w + 1 = -d. Let k be -6*(4\/(-3))\/2. What is the units digit of (3 - d) + k - 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 177862, 3, 29, -1 in descending order.\nAnswer: 177862, 29, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5438664.73 rounded to the nearest 100000?\nAnswer: 5400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 167\/((-308616)\/864)*126\/(-72)?\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 44, 72, 114, 176?\nAnswer: 264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5097, 9480, 13121, 16014, 18153, 19532, 20145?\nAnswer: 19986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -8*l**3 + 4*l + 96. Let s(m) = -5*m**3 + 2*m + 48. What is -5*s(z) + 3*x(z)?\nAnswer: z**3 + 2*z + 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 54418 divided by -338?\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of 2*j**3\/3 - 3*j**2\/2 - 16*j + 24. Let b be x(-4). What is the highest common factor of 196 and b?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1866*c**2 + 164*c + 0 + 0 + 4273*c**2 - 2406*c**2.\nAnswer: c**2 + 164*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 17044.\nAnswer: 3\/17044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -1\/156970?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(172\/(-129) - 34\/(-30))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1120022 (base 4) to base 5\nAnswer: -140032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 25d9c4 - 9?\nAnswer: 25d9bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s**2 + 169*s. Let y(l) be the third derivative of -l**5\/30 + l**2 - 267*l. What is h(y(r))?\nAnswer: -8*r**4 - 338*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 67*h**3 - 25*h**3 + 74*h**3 + 70*h**2 wrt h?\nAnswer: 696","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 d when two letters picked without replacement from {g: 2, c: 2, b: 1, e: 4, d: 1}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 34.27 and -12.\nAnswer: 22.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 7:37 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 86452300 rounded to the nearest 1000000?\nAnswer: 86000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 308049 or 308066?\nAnswer: 308049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - 5. Let v be (14\/14)\/(1\/n). List the prime factors of (v - -12) + 81 + 0.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, c: 3, p: 5, s: 1, m: 1, u: 3}. Give prob of picking 1 c and 1 u.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/1435 + -5762\/15785. Let l = -6036 + 331989\/55. Let g = m + l. Do 0.1 and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 12*u. Let h(b) = -12*b. Calculate 4*h(a) + 5*q(a).\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 2. Is (y\/(-6) + 2)*422 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 2. Let a = m + -6. Let v(c) = 10*c**2 - 10*c - 11. Let o(b) = 9*b**2 - 9*b - 10. Let y(q) = -7*o(q) + 6*v(q). Calculate y(a).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 6*d**4\/17 - 4*d**3\/17 - 38*d**2\/17 - 12*d\/17 = 0.\nAnswer: -2, -1\/3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2e8 (base 15) in base 7?\nAnswer: -1643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, 25, 27, 35?\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 10:07 PM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1801967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1920 + 1951 - (19 - (0 - -3))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z + 3. Let p = 0 + -4. Let r(v) = -1145*v - 24. Let k(q) = -202*q - 4. Let c(x) = 17*k(x) - 3*r(x). Determine p*t(d) + 3*c(d).\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 9) to base 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2719 + 860. Is x at most as big as -1859?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134229859 to the power of 1\/5, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 8*n**2 - n - 39. Let p be r(7). Let k be ((-28)\/(-105))\/(p*(-4)\/(-18)). Which is the closest to -4\/9? (a) k (b) -0.2 (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -89 in -1078, 694, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00020656323 rounded to six decimal places?\nAnswer: 0.000207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 - 57 = -5*w. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3 + -3 + 3 + (sqrt(75)*1*-5 - sqrt(75)) + 1*((2*sqrt(75) - sqrt(75)) + sqrt(75) + sqrt(75)))**2.\nAnswer: -3420 - 450*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.07 in 2\/21, -0.11, 5?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 344619417?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6)\/12 + (-121)\/(-2).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -5*m**4 + 105*m**3 + 270*m**2 - 10820*m + 19800 = 0?\nAnswer: -10, 2, 11, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 5.2. Let q = r - -0.2. Let j be 2 + 3\/(-33)*20. Which is the smallest value? (a) j (b) -0.1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321385009 to the power of 1\/5, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**7*o*o*o\/(o*o**(-7)))\/((o\/o**6)\/o*o**3\/o))\/(((o*o**(-4))\/(o\/o**(-8\/7)))\/(o\/(o\/o**(-4\/7))*o*o*o\/o**(-3\/2)*o)) assuming o is positive.\nAnswer: o**(421\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f**2 + 176*f + 9914. Give m(127).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 194622 and 28688?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 3. Suppose -5*h + 2*d = -27, 4*h + 9*d = 4*d + 15. Suppose o*s = 3*j - 22, s - 28 = -4*j + h. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j + 7 + 7 - 6. Let o be q(-4). Sort 2, 0, o in decreasing order.\nAnswer: 2, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 91\/656 - -821149\/5904. Let u = d - 139. Sort -1\/10, u, 2.\nAnswer: -1\/10, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 9. Suppose -x - d*x + 126 = 0. What are the prime factors of x?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i - 7. Let o be y(7). Suppose m + 0*m = o. Suppose -4*w - 2*p + 2 = m, -25 = -3*p + 8*p. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((30\/(-8))\/3)\/(33\/(-132))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(25)\/sqrt(5)*-4.\nAnswer: -20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 825*k + 246693. Give g(-299).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s + 195 - 204 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9292 - -9232. Which is the biggest value? (a) w (b) -14 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 723 divided by -241\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.023, -48912\/67, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1099 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3*u**3 + 11*u**2 + 4*u - 2. Calculate a(-4).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**4 + c**2 + 1. Let i(l) = 59*l**4 - 27*l**2 + 4. Let d(j) = 2*h(j) - i(j). What is the third derivative of d(f) wrt f?\nAnswer: -1368*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(2\/7)\/(q\/(q**(-1)*q)))**22)**(-11) assuming q is positive.\nAnswer: q**(1210\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-4))**(-1\/6) assuming y is positive.\nAnswer: y**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -13*z + 290. Give q(28).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 21*b = 26315. What are the prime factors of b?\nAnswer: 5, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 769 = -2*c - 2*c, -2*c - 4*j + 378 = 0. Is c a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, g: 2, j: 6, e: 2}. What is prob of sequence tgtj?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - (5 + -45))*(1 - -1). Let d = -42 + m. Calculate the greatest common factor of 238 and d.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 697406?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -3, 4\/13, 10 in increasing order.\nAnswer: -3, -0.4, 4\/13, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33 and 5709?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k - 2. Let a be s(0). Let w = -1356 - -1379. What is the third biggest value in a, -0.2, -1, w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 465118 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together 79357.58160829 and 1.\nAnswer: 79358.58160829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01283917816 rounded to 5 dps?\nAnswer: -0.01284","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 145.705041ns?\nAnswer: 0.0000000000016864009375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -2*a + 24 + 90, 2*a = -10. Suppose 3*v = 4*x - 34, 2*v - 23 = -5*x + l. Solve -3*y + x = -y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -3*f + 3*a + 33, 4*f - 4*a = 56. Suppose f = -l + 10. Let i(r) = -2*r**3 + r**2. Let t(h) = -h**2 - h. What is l*i(m) + 2*t(m)?\nAnswer: -2*m**3 - m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 123 - 3076\/25. Let v = w + 6\/25. Let s = 8 - 5. Which is the third smallest value? (a) s (b) v (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(560) + -1*sqrt(560))\/(2*sqrt(80)) + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 3*u = -69, 895754*u + 21 = 3*s + 895749*u for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*o - 3 + 14*o + 3.\nAnswer: 23*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 8 = 3*x + j, x + 4*j + 12 = 0. Let h be (-1 + 0)*(x + 5). What is the tens digit of (-3 - 10)*5\/h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -46115257*r**2 - 421265325*r.\nAnswer: -92230514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 4 + 0)*(h + h - h) + 1 + h - 1 - 533*h + 30*h + 1050*h + 997*h as t + b*h and give b.\nAnswer: 1547","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -970, -1939, -2908, -3877?\n\"Answer: -969*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*m = 4*x - 133*m + 67, 5*x - m = -70 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 746*o - 160 = 766*o for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007740714 rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16563*g**5 + 1741*g + 3.\nAnswer: 331260*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 33 + 185. List the prime factors of t.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -21020210?\nAnswer: -21020202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 + 23. Let v(g) = g. Let s be v(2). Is s*b - (-95 + 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13844993 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that a**4 + 20*a**3 + 17*a**2 - 38*a = 0.\nAnswer: -19, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-2) - (8 + -9). Suppose 0 = 2*k + 5*p - 30, x*k - 2*p - 102 = -38. What is the remainder when 79 is divided by k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8 is divided by ((-9)\/(-27))\/(1\/9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1345758 = 249*t - 1677849. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 11028997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 91 - 86. Let u(c) = -o - 5*c + 1 + 102*c**2 - 98*c**2. Is u(4) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37750 + 63812. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 2. Suppose -v = 5*j + h, v - j - 17 - 4 = 0. Let s = 14 - v. Let m(y) = 3*y - 2. Determine m(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 32*k. Let q(v) be the second derivative of 4*v + 1\/6*v**3 + 0*v**2 + 3. Calculate y(q(l)).\nAnswer: 32*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o**3 + 9*o**2 - 3*o**2 - 7*o**2 - 5*o**3.\nAnswer: -2*o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b + 3*b + 2 - 2*b + (109*b - 252*b - 280*b)*(0 - 1 + 3).\nAnswer: -847*b + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 13*p**3 + 10*p - 13 + 13*p**2 - 9*p**3 + 0*p**3 - 3*p**3. Let i be t(-12). Calculate the highest common divisor of i and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of -a**8\/336 + a**4\/2 + 5*a**2. What is the second derivative of u(h) wrt h?\nAnswer: -20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - 957606?\nAnswer: -957603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26287*u = -4*c - 26289*u - 2, -2*c = -4*u - 44 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, t: 6, d: 3, y: 5}. Give prob of picking 1 y, 1 q, and 1 d.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3518344 is divided by 67.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170 = -4*y + 38. Suppose -o + y = 3*f, 3*o = -13 - 2. What is the highest common factor of 152 and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v**4\/5 - 4432*v**3\/5 - 1516524*v**2\/5 - 145209328*v\/5 + 1786759568\/5 = 0 for v.\nAnswer: -466, -187, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-48*w**3 + 10 - w**2 + 46*w**3 + 2*w**2)*(-2*w + 3 - 3) as y*w**2 + l*w**3 + k*w**4 + r*w + d and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 858781?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1564?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of -q**8\/1848 - 16*q**7\/1155 - 13*q**6\/110 - 56*q**5\/165 - 49*q**4\/132 + 43*q**2. Suppose w(s) = 0. Calculate s.\nAnswer: -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a millimeter in micrometers?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 6 - 21 = 0. What is the remainder when 58 is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24923 is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(98) + 0 + sqrt(98) + -3 + (sqrt(98)*4 - sqrt(98)))*-5)**2.\nAnswer: -10500*sqrt(2) + 62150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + 1. Let g(r) = r**3 + 2*r**2 - 2*r - 2. Let z be g(-3). Sort b, z, -1.\nAnswer: z, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 + -30. What is the fourth smallest value in g, 1, -4, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -724 by -4.\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 + 5 - (-265)\/11.\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l - 6. Let n be 3\/(-6)*(1 - -11). Let u be s(n). Let f = -17 - u. Sort -3, f, -2.\nAnswer: f, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188 is divided by 75?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eoyezua. Give prob of picking 1 z and 1 u.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 5*d = -7*d - 4, -d = -g + 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3645441 + -2031?\nAnswer: -3650502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4165 + -4217. Let p(i) = -72*i**3 - 26*i**2 - 26*i. Let k(l) = 8*l**3 + 3*l**2 + 3*l. Give f*k(g) - 6*p(g).\nAnswer: 16*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 20 = 2*j - 14, 37 = -4*z + 3*j. Let w = -4 - z. Let c = 48 + -27. What is the greatest common divisor of w and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26389 and 5390?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1809*u**3 + 906*u**3 + 912*u**3.\nAnswer: 9*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16384.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75 = 4*x + 2*q - 49, 4*x + 4*q - 132 = 0 for x.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 11120*f**2 - 120*f - 240. Let r(u) = u**2 + u + 2. What is 120*r(y) + t(y)?\nAnswer: 11240*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40 - -31) + (-9 - -11)\/((-2)\/(-18))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(1539) - (-2*sqrt(1539) + -3)) + 0)**2 + (-1 + 0 + 1 + sqrt(76) + -3)**2.\nAnswer: 1446*sqrt(19) + 124825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2 = -4*u, 7*u = 2*u + 2*g + 9. Let c = u + 2. Solve c*r + 9 = -0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 - 17 + 7)*(-i**5 - 2*i**5 + i**5).\nAnswer: 64*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3434 is divided by 991?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -802*c + 715*c - 3306 = 0 for c.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 508043108.\nAnswer: 2, 43, 181, 16319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72051641?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zuzuzzuzuu. What is prob of picking 1 u and 2 z?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b + 9. Let z be p(-9). Suppose z*g + 22008 = 2*g + 2*x, 32984 = 3*g - 4*x. Round g to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 757086?\nAnswer: 2, 3, 11, 11471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 4. Let a = 208.7 + -209. Sort v, a, -1\/5 in decreasing order.\nAnswer: -1\/5, a, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -686 times -191416\nAnswer: 131311376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 196 + -197.12. Let f = g - -1.08. Let w = 3.03 + -0.03. Which is the biggest value? (a) f (b) w (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1317?\nAnswer: 3, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1310, -2599, -3868, -5111, -6322, -7495, -8624, -9703?\n\"Answer: t**3 + 4*t**2 - 1308*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -84\/12804851?\nAnswer: -84\/12804851","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/6 - ((-2292690)\/99 - 18\/99) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 + 3 + 0)*(-1 + 0 + 2) + 13 - 9 + 28)*(-3*c**2 + 3*c + 0*c + 2*c**2) to l*c + t*c**2 + p and give t.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 12) to base 14\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*b**4 + 17*b**4 + 11*b**4 - b**4 + 22*b**4 + 2 + 2*b**4 - 2 + (3*b**3 - 3*b**3 - b**3)*(b - 2*b + 2*b) + (-17*b**3 + 1024*b - 1024*b)*(-b + 2*b - 2*b).\nAnswer: 84*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by (-334)\/(-26) + 2\/13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1 (b) -2\/3 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -26*h**3 + 8*h**2 - 22*h - 8. Let r(s) = 9*s**3 - 3*s**2 + 7*s + 3. Give 8*r(g) + 3*u(g).\nAnswer: -6*g**3 - 10*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, k: 1, s: 1, d: 4, t: 1}. Give prob of picking 1 z and 1 s.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1114 - 715. Let v = 339 + t. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1330032 + -10?\nAnswer: -1330102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*y**3 - 245*y + 245*y.\nAnswer: -17*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -40*a**2. Let r be i(-1). Let b be (-2)\/4*r\/(3 + 1). Put b, -1, 6 in descending order.\nAnswer: 6, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 902 + -696. What is the remainder when i is divided by 107?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 8*n**2 - 8*n + 1. Let f be p(-7). Suppose 1070 + 4434 = f*s. What are the prime factors of s?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29036.15 millilitres in litres?\nAnswer: 29.03615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1*sqrt(35))\/sqrt(5) + -1.\nAnswer: -sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30098 - -19982. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n + 462 = 54. Find the second derivative of n*j + 1 + 7*j**3 - 3*j**3 + j**3 - 5*j**3 + 2*j**4 wrt j.\nAnswer: 24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 36*s**2 + 49*s + 96. What are the prime factors of d(-39)?\nAnswer: 2, 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - 25868?\nAnswer: -25863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*a**2*l**3 + 20498860*a**2 + a*l**3 + 28*a*l**2 + a - 3*l**2 + 3042*l wrt a?\nAnswer: 28*l**3 + 40997720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*r - 2*r = 21 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 364?\nAnswer: 364","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -g + 12. Suppose -4*f + 32 = t + 4, f + 5*t = -12. Solve -4*m - 3*z + f = 0, -3*m - 4*z + 9 = g for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 1600627 = 46*m - 45*m, -1067096 = -2*k + 5*m. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*a - 3*a - 2*a)*(-5*a**3 + 5*a**3 - a**3) + 0*a**4 - 2*a**4 + 0*a**4)*(1 - 6 + 4)*(a - 2 + 2).\nAnswer: a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4500 - -1?\nAnswer: 4501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-9)\/9)\/(1\/(-26)). Let a = l - 30. Let i be (-15)\/20*a + 2. Put i, 3, 10 in increasing order.\nAnswer: 3, i, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 6. Sort u, 2\/25, 0.1 in decreasing order.\nAnswer: 0.1, 2\/25, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 220906691?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(228)*-1*-4)\/(-3*sqrt(108)).\nAnswer: -20*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -8*j. Let p be z(3). Let b(k) = -2*k + 77. Let g be b(25). Let m = g + p. Solve -2*o + 7 - m = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/5))**(20\/9))**(-39)\/(s**4\/s*s**(-10)\/s)**(-2\/75) assuming s is positive.\nAnswer: s**(-872\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46600.\nAnswer: 2, 5, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/((-66)\/(-4) - 0). Let h = -1\/11 - v. Which is the third biggest value? (a) h (b) -1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101001000010110001 (base 2) in base 8?\nAnswer: 510261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 204*z - 401*z + 197*z - 77450*z**3.\nAnswer: -77450*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201 = -9*y - 192. Let v(l) = 20*l**2 - 2*l + 1. Calculate v(y).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22315 - 63013 = 1938*p for p.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 244570?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 574364?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 - -2301034430?\nAnswer: 2301034443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r - 6. Let a be p(-6). Suppose 22*x + 23 = 11 + 122. Suppose 0 = -4*k - k + 10. Sort k, x, a, 1 in descending order.\nAnswer: x, k, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5585.\nAnswer: 5, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-190)\/(-70) + 4\/70*5. Solve 2*c - 2 + 0 = 0, 0 = -2*g - v*c + 5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109860 rounded to the nearest 1000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -41, -3, 2, 17, -91, 1, -4 in decreasing order.\nAnswer: 17, 2, 1, -3, -4, -41, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 995665175 a multiple of 6486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/2*-5*(-64)\/((-10560)\/(-297))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 z when three letters picked without replacement from {p: 5, i: 1, z: 5}.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 111*i - 108*i - 8631, -32 = 4*l. Does 196 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 12*y**2 - 10*y - 31. Let g be l(6). What is the greatest common divisor of g and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/(-56)*-2*(-10)\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25 and 30?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of 0*y - 1\/6*y**4 - 1\/2*y**3 - 7*y**2 - 1\/15*y**5 - 1\/120*y**6 + 0. Suppose -n + 8 = -3*n. Calculate d(n).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 71676618 to the nearest integer?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*j**2 - j**4 + 1 + 5*j**2 - j**4 to z*j**2 + l*j**4 + c*j**3 + k + w*j and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 1130 - 200. Is s a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31*-0.1.\nAnswer: 3.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + (8 - (0 - 1))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -250e0 (base 15) to base 16\nAnswer: -1ce3f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b - 4. Let z be i(7). Suppose 6*s - s + 2*a - 11 = 0, 0 = z*s - 2*a + 3. Let d = 41\/4 + -385\/36. Does d = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.1 - 0.8. Let a be (2 - (-15)\/(-6))\/(17\/(-204)). Put a, f, 1, -1 in increasing order.\nAnswer: -1, f, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45 - 380*s**2 + 123*s**2 + 129*s**2 - 8*s + 132*s**2 + 10.\nAnswer: 4*s**2 - 8*s - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(108) - (2 + sqrt(108) + 3))**2 + 0 + -4.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*d + 46*d - 6 - 24*d - 2*d**3 + 13 as b + g*d**2 + m*d + s*d**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/136 equal to -26\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/80 and 85\/176.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-14))\/((-1)\/(-10))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l*l*l*(l*l**(-6\/7))\/l))**(-27\/4)\/(l*l**(-2\/107)*l*l*l**(-3\/8)) assuming l is positive.\nAnswer: l**(-9839\/5992)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*d = -210*d + 89*d - 462 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.74 + 0.44. Is 36 smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of -1 + 2 + 0 + 6*w + w**2. Let u = -7 + 2. Give q(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 8*z**2 - 14*z + 42. Let r(c) = -c**2 + 1. Suppose 3*f = 5*a - a - 51, -6 = 2*a. Suppose -9*o - 15 = 12. Let x(j) = f*r(j) + o*s(j). Factor x(k).\nAnswer: -3*(k - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, u: 1, l: 6, x: 6, w: 3}. Give prob of sequence wux.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 888 divide 2331000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 6841277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6915*w + 16359*w + 36492*w)*(5*w - 3*w + 0*w + (2 + 1 - 1)*(2*w - w + w)).\nAnswer: 275616*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d**3 - d**2 + 2*d + 13. Let k(p) = -p**3 - p - 6. Let r(b) = -4*g(b) - 9*k(b). Give r(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-756)\/24)\/((-12)\/32). Let j be (h\/(-20) + 6)\/(3\/15). What is the fourth biggest value in j, 4, 3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -717db + 11?\nAnswer: -717ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 103297905 and 90?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.14 and 1205.693.\nAnswer: 1205.833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(91)\/(sqrt(42)\/sqrt(6))*-3.\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.6 and -90.061.\nAnswer: -89.461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 2 - (19 + -14 + 8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 10:05 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2336 - -2335.97. Which is the nearest to 0.44? (a) 0.5 (b) z (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5.113491l?\nAnswer: 5113.491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*o**3 + 11*o**3 + 9*o**3)*(-2*o + 2*o - 2*o)*(-1 + 3 - 6)*(17 - 19 - 38).\nAnswer: -3840*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-1*6\/(-4)). Let n = 34 + -34.04. Let t be -1 + 3 + 0 + -3. Put r, n, t in descending order.\nAnswer: n, t, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 AM and 11:31 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 7. Let y(d) = -d**2 - 30*d + 31. Let a = -172 - -141. Let p be y(a). What is the nearest to p in k, -2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9892267.\nAnswer: 7, 11, 18353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 1\/89185?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.0304 years in millennia?\nAnswer: 0.0770304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + 3*n**2 - 10*n - 22. Give g(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-66)\/2 - (5 - 5) - -3. Let b be o\/(-4)*124\/465. Solve -5*i - b = 13 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1334123809550 + -4\nAnswer: -1334123809554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 122704 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of 11*l**5\/20 - l**3\/3 + 4*l - 11. Let r(d) be the first derivative of n(d). What is the second derivative of r(b) wrt b?\nAnswer: 66*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-14))\/(129\/(6413106\/536))*(-16)\/10.\nAnswer: 53\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*d - 16*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6721, 15, -16, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -418816, -837590, -1256364, -1675138, -2093912, -2512686?\n\"Answer: -418774*t - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - -5652883.6?\nAnswer: 5652868.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 361 - 178 - 180*x**2 - 185.\nAnswer: -180*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -15*i**3 + 15*i**2 + 15*i. Let j(v) = -v**3 - v**2 - v. Let w = -750 - -735. Give w*j(l) - x(l).\nAnswer: 30*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 31.30932 centuries?\nAnswer: 3.130932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001527 rounded to four decimal places?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -2*x + 3. Let p be x*1 + (13 - 189\/12). Which is the smallest value? (a) 0.1 (b) 3\/2 (c) 5 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.93 + 22.53. Which is the second smallest value? (a) 0.2 (b) 2 (c) -2 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -6*w + 6. Let x(j) = -3*j**3 + 16 + 7*j**2 + 3*j + 17*j**3 - 15*j**w. Let b be x(6). Calculate the greatest common factor of 14 and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 + r. Let o(i) = -5*i**2 - 5*i + 2. Let l(a) = -6*n(a) - o(a). Let y be l(-3). Let z be ((-3)\/2)\/(y\/16). Solve 2*t = z*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zs when two letters picked without replacement from zsszsssssss?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {f: 2, g: 1, c: 8, p: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/23, -2\/9, -0.5, 8\/49?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24346\/17390)\/((-196)\/(-10)).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*128903.\nAnswer: -128903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3795?\nAnswer: 3, 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 - 1 - (-1 - (-1)\/1). Let c = 17 - 23. Let y = 61 - 61. Put i, y, c in increasing order.\nAnswer: c, i, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -89413, -89414, -89415, -89416?\n\"Answer: -b - 89412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**3 - 1 + 1 + (1 + 2*t - 1)*(3*t**2 - 2*t**2 + 0*t**2) - t**3 - 3*t**3 + 3*t**3 - 1 + 0*t**3 - 1 - 2*t**3 - 2*t**3 + 16*t**3 - 4*t**3.\nAnswer: 11*t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -41567095, -41567093, -41567091, -41567089?\n\"Answer: 2*l - 41567097","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/74424 and -115\/347312.\nAnswer: 1041936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*i + 2*i = -2, -2*i + 8 = p. Let a(r) = r**3 - 34*r**2 + r - 24. Let f be a(34). Solve -4*l = 5*q + 12, p*l - 3*l = q + f for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/236 and 79\/16.\nAnswer: 944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3238 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 136686886733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*f**3*p - 79*f**3*r**3 + 2*f**2*p**2*r**3 - 4*f**2*p**2*r**2 - 7*f*p**2*r**2 + 2*r**3 wrt r?\nAnswer: -474*f**3 + 12*f**2*p**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -2819858 to the nearest 1000.\nAnswer: -2820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 762 - 672.9. Let j = -93 + c. Let u = -2.9 - j. What is the closest to 0 in -5, -1\/11, u?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 223837 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7781080?\nAnswer: 2, 5, 194527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 137.2514976ns in weeks?\nAnswer: 0.000000000000226937","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 divide 39294529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*w + 298080 = 185*w. Does 23 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 + 8. Let r = 7 + k. Suppose -2*f = -r*z - 32 + 112, 3*z + 2*f = 100. Is z a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/40 of a meter?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33529 by -722.\nAnswer: -33529\/722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1713694817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6762.5 - 6762. What is the nearest to 1 in 0, -224, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - n - 81, -5*r + 90 = 4*n - 3*n. Suppose 3*f = -3*v - 1 - 5, 2*v = -5*f - r. Suppose -4*k - 125 = -s, v*s - 4*k - 45 - 306 = 0. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in 0.1, -2\/15, -0.33, -1?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-15))\/(77\/693).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 5*f - 14, 0 = -2*m - 2*f + 1 + 13. Suppose -13 = -4*x + 3. Factor -6*a**4 + 2*a**4 + 5*a**x - a**m.\nAnswer: a**3*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 334 + -1671\/5. Which is the third biggest value? (a) 5 (b) -2\/5 (c) 2 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = b, -5*b + 5 = -2*q - 0. Suppose q = 42*a - 6*a - 108. Solve 2*g = a*g + 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 + 2)*(-q - q + 4*q) + q - 5*q + 2*q - 2*q - q + q + (4*q - q - 5*q)*(2 + 4 - 5) + 0*q + 0*q + q - 3*q + 3*q + 2*q in the form w + o*q and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is z in z**3\/3 - 43*z**2\/3 + 83*z\/3 - 41\/3 = 0?\nAnswer: 1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from ddddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -9552.6 rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d*d**(-16)*d**39*(((d**(-14)*d*d)\/d)\/d)\/d**(3\/10))**(-25) assuming d is positive.\nAnswer: d**(-585\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54144 = -252*u + 264*u. Is 8 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102 (base 3) to base 6\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 198676 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**5 - 4*w**5 + 2*w**5 + (-3*w - 8*w + 7*w + (-2 + 2 + w)*(-2 + 3 - 3) + 3*w + 4*w - 6*w)*(-6 + 3*w + 6)*(-w**3 + 4*w**3 - w**3).\nAnswer: -34*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {u: 17, z: 3}?\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2121 (base 6) to base 3\nAnswer: -122211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x**3 - 50*x**2 + 13*x + 74. What is u(-25)?\nAnswer: -251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 39272049?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3989891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-98 + 40 + (-1236)\/(-21))\/(0 - (-29)\/(-7)).\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 181*v + 919. Give h(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 2*p - 4, 20 = 5*l + 2*p. Suppose -l*a - 2 = 2. Let t be -1 - (a + -6 - -3). Solve 0 = 2*s - t*x + 2 - 4, 5*x + 10 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 5*l = -25. Suppose -15*h - 223 = 24*h - 1198. Calculate the greatest common factor of h and l.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3a737 + 14a?\nAnswer: 3a886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -522*q**3*y - 108*q**3 - 1 wrt y?\nAnswer: -522*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23.1 + 22.1. What is the smallest value in -18, j, 3\/8?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in four thirds of a hour?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11128 rounded to 3 decimal places?\nAnswer: 0.111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 + -13. Let l be (5 - -10)*(1 - n\/3). Suppose x = -l*b + 15 + 18, -4*b = x - 33. List the prime factors of x.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + (2 - (2 - 1)). Suppose -3*d - 9 = 0, n*d + d = -5*z + 31. Solve -2*y + 0 = z for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -100*w**3 - 3*w**2 + 125*w + 122. Calculate b(-1).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -34413668 divided by 2038\nAnswer: -16886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-5))\/(-4*6\/(-60)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-5))\/((-2)\/(-5)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*o = 48*o + 35 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0261407ng in milligrams?\nAnswer: 0.0000000261407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 83683343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -4. Let k = -5 + 8. Let v = k - -1. Which is the nearest to -0.1? (a) -1 (b) v (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 PM and 10:31 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, w: 5, b: 4}. Give prob of picking 2 b and 2 w.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - 22) + 24 - ((-1 - -31) + 36 + -39)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-10 + 5) - -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/35)\/q*q)\/(q*q**(-23)\/q*q) assuming q is positive.\nAnswer: q**(771\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 8*o**2 + 74*o + 1. Let y = -186 + 175. What are the prime factors of m(y)?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fifteen quarters of a gram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + i**2 + 2)*(14 - 25 + 15) as o*i + q*i**2 + w and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7 - 7196.\nAnswer: -7196.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 25\/4 of a milligram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8997 + -8952. Solve 30 = 3*f - 4*f - 5*b, 4*f + 5*b = -k for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10\/55 - (533596\/(-77) - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, -38\/3, -9, -4\/7, -1534 in descending order.\nAnswer: -1\/6, -4\/7, -9, -38\/3, -1534","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*w**5 + 60*w - 124*w**5 - 50*w**5 wrt w?\nAnswer: -3760*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 3*l. Let c(o) = -7*o**3 - 2*o**2 - 4*o + 3. Let d be c(-6). Suppose -4*s + 481 + d = l. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -18*t + 522. Calculate g(21).\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s**2 + 1. Let j be u(0). Solve j = -d - 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -211, -403, -609, -835, -1087, -1371, -1693, -2059?\n\"Answer: -c**3 - c**2 - 182*c - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sc when two letters picked without replacement from {s: 3, r: 5, c: 1}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/8673 and 88\/8673.\nAnswer: 8673","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 + 1 - ((-56)\/24 + 1 - -6). Let m = 3.1 - 0.1. Which is the second biggest value? (a) h (b) m (c) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.42 and -4294892972.\nAnswer: -4294892971.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -z - 12315, -17*z + 20*z = s - 6160. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -1265.9\nAnswer: 1265.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 AM and 5:06 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -5*i - 13, 4*k = -4*i + 13 - 33 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5*d + 31 = 0, 3*u - 2*d + 7*d + 16 = 0. Suppose -u*s = t - 136, -3*t - 3*s = -t - 284. List the prime factors of t.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-6*1*(sqrt(880)\/sqrt(5) + -5)*-1*-5)**2.\nAnswer: -144000*sqrt(11) + 723600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 135 - 39. Let x = m - -32. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1286, 2573, 3860, 5147, 6434, 7721?\nAnswer: 9008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-20)\/(-8) + -2)\/((-9)\/6). Let y = -0.2 - -1.2. Which is the nearest to h? (a) -2 (b) -4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 1. Let q(x) be the third derivative of x**4\/8 + x**3\/6 + x**2. Let y be q(k). Calculate the highest common divisor of y and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 85*r - 25. Let x(k) = -7*k + 2. Give 4*d(s) + 50*x(s).\nAnswer: -10*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25537?\nAnswer: 25537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 51 or 79.003?\nAnswer: 79.003","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**2. Let r(w) = -4*w**2 + 42806*w. Determine r(m(d)).\nAnswer: -16*d**4 + 85612*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 45812147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**3 - 59*p**2 + 42*p + 71. Let w be r(29). Let z be -2 - (w\/(-40))\/4. Suppose 2\/5*o**2 + 0 - z*o = 0. Calculate o.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k**2 + 70*k + 2*k**2 - 264*k**3 + k**2 + 265*k**3 + 2*k**4 - 1 to y*k**3 + t*k**4 + l + u*k**2 + w*k and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1110001111 + -1?\nAnswer: 1110001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4126?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -2316?\nAnswer: 2314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 77*t**2 - 306*t - 7. What is p(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/5, 9\/455, 1.73?\nAnswer: 1.73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1140?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12 - 120*v + 17*v + 50*v - 22 + 21*v wrt v?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5245.75 * 12.2.\nAnswer: 63998.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7756c5b + -4?\nAnswer: -7756c62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5*48\/200)\/((-18)\/150). Solve -f = -2*l + 4*h, -14*h + 9*h = 25 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2352.6 + 2170. Round w to the nearest 10.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 4338720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (6 - 2 - (3 - 4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6711527 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 2\/5081367 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 q when three letters picked without replacement from qqqqqoqqhoqowwoqq?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (595\/(-476))\/((-3)\/(36\/(-1)))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = 5*l - 6*l. Calculate the remainder when l is divided by 18 + 1 + (1 - 0).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -204 - -202 - (-1 - -2 - (-3 + -2)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-32446)\/2)\/((-1)\/34). Suppose -5*d - x = 579463. Let p = d + 2209. Round p to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -4*f + 12, 0 = 59*f - 58*f - 2*x - 6. Let c = -8 - -13. Suppose 18 = 2*p - 14. Solve -f = -c*z + p for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**3*o)\/o)\/o**(-2\/31) assuming o is positive.\nAnswer: o**(95\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*j + 47 = 3 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42, 139, 308, 555, 886, 1307?\nAnswer: 1824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/(-10)*(0 + 1 + -1). Solve j*b + 3*b = 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 PM and 7:59 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 952158919 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 144*b**2*w**3 - b**2*w - b*w**2 + 3*w**4 - 1264*w**3 - 2700*w**2 wrt w.\nAnswer: 864*b**2 + 72*w - 7584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - -2. Suppose -3*z = 3*h - 3 - 6, -4 = 2*h + i*z. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, q: 1, b: 2, u: 1, d: 2, x: 2}. What is prob of picking 2 d and 1 x?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 223, -2306, 4 in ascending order.\nAnswer: -2306, -4, -1, 4, 223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -10 (b) -8 (c) 2\/17 (d) -31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3683)\/87 + ((-49)\/(-21) - 2). Which is bigger: -78 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*b = 37*b + 985. Suppose 3*d - b = 256. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -32\/5 (b) -0.5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1402270 or 2804537\/2?\nAnswer: 1402270","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2450\/650 - (-1288)\/(-184)?\nAnswer: -42\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*i**2*p**3*v + 5049*i**2*p**3 + 6*i**2*p - 25*i*p**3 - 4132*i*p**2*v + 3*p*v + 2*v wrt i?\nAnswer: 18*p**3*v + 10098*p**3 + 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oxddxcxddppddxcxcd. Give prob of sequence ddd.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24549.\nAnswer: 3, 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4*((-10)\/35 - 1377\/(-42)). Suppose 4*t = -5*z + 3 + 29, -5*z - 7 = t. Calculate the highest common divisor of f and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 315202*v**3 + 297095*v**2 wrt v.\nAnswer: 1891212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 33 + -2703aa?\nAnswer: -270377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of 139*g**5\/20 + g**4\/3 - 19*g**2. Let o be b(-24). Round o to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/6 + 4)\/((-3)\/39)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a tonne in kilograms?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppfpppppppfpppppppp. Give prob of sequence pf.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of 0*x**6 + 0*x**2 + 0*x**3 + 43*x + 0*x**5 + 0 + 43\/28*x**8 - 55\/6*x**4 - 1\/21*x**7. Find the third derivative of f(c) wrt c.\nAnswer: 10320*c**3 - 120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 4:23 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -1545*l - 62. What is the thousands digit of a(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 131*c**3 - 6 - 2*c + 6 - 5 + 27*c**2.\nAnswer: 131*c**3 + 27*c**2 - 2*c - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of 0*a**3 - 1\/30*a**6 + 1\/30*a**5 + 0 + 34*a**2 + 1\/24*a**4 + 0*a. Give c(2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 98, 10, 0, 3, -1 in increasing order.\nAnswer: -1, 0, 3, 10, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3085.99995858 - 3086. What is a rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -63818.0000073343 - -63818. What is u rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-270)\/2*7)\/(-4 + 5). List the prime factors of 3 - 0 - 2\/(6\/b).\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -3*v + 20 + 6, -5*m = 2*v. Suppose -1215 = -v*d + 3165. List the prime factors of d.\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 2 = -5*k. Let g(w) = 2*w**3 - 3*w**2 - w + 2. Let y be g(2). Suppose -y*c = -0*c - 20. Solve c*o = k*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10163*y**3 + 10220*y**3 - 20333*y**3 + 4 - 1 as w*y + m + q*y**3 + g*y**2 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xcdd when four letters picked without replacement from xdsxsxxccxxxxxdxsxss?\nAnswer: 11\/29070","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (2 + (5 + -10 - -9)) - -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (677 - -23) + 5\/1 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 77 - 47. Suppose -1 = z - 46. What is the highest common divisor of m and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1cac (base 14) to base 5.\nAnswer: 131443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 10:07 AM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(120\/25))\/(2\/8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 1 = -m. Suppose w + 3 = 0, -1 = -s - 3*w + m. Let d = s - 11. Solve 0 = 4*c + 4*i - 4, -2*c + d*i - 3 + 0 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/14)\/((-126)\/(-56))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 54.27534ml?\nAnswer: 0.05427534","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 436455226?\nAnswer: 2, 218227613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 22001.66 millimeters in meters?\nAnswer: 22.00166","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of 3*d**3 + 15 - 9*d**4 + 21\/5*d**5 + 0*d + 3*d**2. Factor z(a).\nAnswer: 3*a*(a - 1)**2*(7*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 272731506 by -967133.\nAnswer: -282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/7 (b) 0.3 (c) -4 (d) 130\/11 (e) -0.27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**3 + 4*t**2 - 5*t + 1. Let u be d(1). Solve 0 = -2*g + 4 - u for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 16*n**2 - 40*n + 6. What is the units digit of s(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49135*s + 7393*s + 65930*s + 193671*s.\nAnswer: 217859*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 1 + 3*p + 5*p - 7*p**2 + 1 - p. Let v(g) = 2 - 3*g + 0 - 8*g**2 + 11*g. Let t be 1 - (0 - 0 - -6). Give t*v(s) + 6*z(s).\nAnswer: -2*s**2 + 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-18)\/(4 - 1) - -2. Let r = -2 - 0. What is the second biggest value in d, -5, r?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 401*q**3 - 4 wrt q?\nAnswer: 1203*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108\/(-16)*((-3)\/(-27))\/(36\/108).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -b1efb (base 16) in base 3?\nAnswer: -1101000202121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1121796 or 1121751?\nAnswer: 1121796","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**2 + f**2 + 4855*f - 2*f**2 - 17882*f.\nAnswer: f**2 - 13027*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3134124 - 1?\nAnswer: -3134130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.315 and -6753.90176124?\nAnswer: 6753.58676124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/32*(-6)\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27 + 29. Suppose -3*w = 5*a + 3, w - 2 = -3. What is the third derivative of -2*d**5 + a*d**5 - d**i - d**5 + d**5 wrt d?\nAnswer: -120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 222? (a) 5\/4 (b) 0.3 (c) 2\/7 (d) 3\/2 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -809*d + 2344 - 1255 + 2147 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 255147855, 255147854, 255147853, 255147852, 255147851, 255147850?\n\"Answer: -z + 255147856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is eight fifteenths of a week in minutes?\nAnswer: 5376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -123, -22, -5, 1, -0.05 in increasing order.\nAnswer: -123, -22, -5, -0.05, 1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) + sqrt(500)*2)**2 + -3 + -4 + (4*(sqrt(500) + ((sqrt(500) + -1)*-5 - sqrt(500))))**2.\nAnswer: -8000*sqrt(5) + 204893","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2834*a = 2845*a + 55 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1382*o**2 - 1442*o**2 + 2531*o**2.\nAnswer: -293*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 9837*n - 354110. Determine u(36).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 131*z**2 - 4*z + 137*z**2 - 276*z**2. Let d(u) = -u**2. Determine d(x(h)).\nAnswer: -64*h**4 - 64*h**3 - 16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.29 - -0.21. Let j = 6 - q. What is the third smallest value in 0.3, j, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/44 and 77\/24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 - 20*r**2 - 54*r + 214. Give z(22).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 3 - 3)*(-2 + z**4 + 4*z**4 + 0*z**4 + 2*z**4 + 0*z**2 + 0*z**2 + (-2*z + 6*z - 3*z)*(z - z + z**3) - z**4 + 4*z - 4*z).\nAnswer: 7*z**5 - 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 741, 1485, 2231, 2979, 3729, 4481?\n\"Answer: y**2 + 741*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 3, 1, 55, -4, -2 in decreasing order.\nAnswer: 55, 3, 1, -2, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 691861 less than 19?\nAnswer: -691842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 79*u + 8 - 7 + 82*u.\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 7*r**3 - 11*r**2 - 642*r + 7. Let m(p) = -2*p**3 + 3*p**2 + 147*p - 2. Calculate 6*j(x) + 22*m(x).\nAnswer: -2*x**3 - 618*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207 is divided by 109.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 + 9*s + 7. Let o = -30 - -23. Give g(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 5*z + 41, 17 = 2*k + 2*k + 3*z. Solve 2*a + k = v, 2*a + 3*v = -8 - 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182856343 is divided by 1010256?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -285 - -282. Let w(o) = -4*o - 16. Let j be w(q). Which is the closest to 0? (a) j (b) -1.1 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7634 + 7654. Sort 0.2, -5, -2\/5, u, -2.\nAnswer: -5, -2, -2\/5, 0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + 5*z**2 + 6*z + 2. Let y be (2\/5)\/((-455)\/(-75) + -6). Let r be m(y). Suppose 9*j - 140 = r*j. Solve n - j = 6*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3355110 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30559608?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 + 5*j**2 - 4*j + 4. Let g be n(-6). What are the prime factors of 8*(22\/g)\/(-1)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 - 17*s**2 + 16*s - 25. Let k be p(-18). Let w(x) = x + 1. Let d be w(-6). Put -2, d, k in descending order.\nAnswer: k, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 x when two letters picked without replacement from xaydrrh.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 102*p - 105 - 609. Let o(t) = -3*t + 6. Let w(g) be the first derivative of g**2 - 4*g - 3. Give p*w(q) + 5*o(q).\nAnswer: -q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 d when two letters picked without replacement from {d: 2, a: 5, u: 3, b: 2, r: 3}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 96206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1394838 is divided by 7341.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -2*n + 13 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k**12*k)\/k)\/(k*k\/(k*k**4\/k)))**(28\/3)*((k**(-2))**(-5\/14))**(-8\/9) assuming k is positive.\nAnswer: k**(8780\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -36? (a) -0.3 (b) -12 (c) 29377 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2532 + -1399. List the prime factors of w.\nAnswer: 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1308?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, -5\/9, 0.2, 2\/15?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((256\/48)\/8)\/(4\/15)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = 1086 - 2774. Let t = 1056\/5 + v. Factor -1\/5*d**2 - 3\/10*d**3 + 3\/10*d + t.\nAnswer: -(d - 1)*(d + 1)*(3*d + 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, t: 5, e: 2, z: 7, m: 4, s: 1}. What is prob of picking 2 e and 2 t?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 104\/78*6\/4. Solve -5*y = -b*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -4666.8.\nAnswer: 18667.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15129067787 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32833?\nAnswer: 32833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, b: 1}. What is prob of sequence yb?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 115368 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 107337.4 grams in milligrams?\nAnswer: 107337400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10904017?\nAnswer: 173, 63029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 0 - (61 - (4 + 15)) - -9.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/((-16)\/5)*(-78)\/65. What is the third biggest value in 3\/22, 4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 10*g**3 - g**2 - g - 7. Let a(l) = 3*l**3 - 2. Let i(z) = 14*a(z) - 4*n(z). Determine i(-3).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-5 - -29) + -11 + -15.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1741608530.\nAnswer: 2, 5, 23, 7572211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**4\/2 - 11*m**3\/2 + 9*m**2\/2 + 99*m\/2.\nAnswer: -m*(m - 3)*(m + 3)*(m + 11)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of o**4\/8 - 5*o**2 + 3. Let i(a) be the second derivative of f(a). Let j(v) = 7 - 7 - 2*v. Determine i(j(k)).\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 8 = -3*x, -5*x = 48942*d - 48940*d - 10 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of 915*y**4\/2 + 2. Let c be (-196)\/(-22) + (-24)\/(-22). Let l be q(c). Round l to the nearest one hundred thousand.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 - 8*y + 14. Let u be s(6). Solve -u*z - 2*n = -4, n - 4 = -2*z + 1 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of -7*a**6\/3 - 158*a**5\/5 - 281*a**4\/2 - 778*a**3\/3 - 216*a**2 - 72*a - 854. Let l(t) = 0. Calculate t.\nAnswer: -6, -3, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 52 + -47. Suppose 529 = p*h - 136. Let l = h - 74. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 4:42 AM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1150, 4522, 10450, 19186, 30982, 46090, 64762?\nAnswer: 87250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 36282840122 from -0.2.\nAnswer: -36282840122.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 4*s + x, -s - 1828*x + 1833*x + 2 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 4 - 1)*(3*k**2 + 4*k - 4*k) - 7*k**2 + 9*k**2 + 6*k**2 - 1 + 1 - 2*k**2 - 2*k.\nAnswer: 12*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9427 - -15993. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1090 is divided by 78.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6588?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43325528 is divided by 207.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**3 + 2*q**3 + 3*q**3 + (-33 + 23 + 26)*(0*q**2 - 2*q**3 + 0*q**2).\nAnswer: -28*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 - -2 - (-42)\/2. Suppose b = 5*q - 36, b = -4*b + k. Let m = -5 + q. Calculate the remainder when 8 is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-12))\/((-2)\/(-15)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -4*f**5 - 6172*f**4 - 169676*f**3 + 13132*f**2 + 10700880*f - 19998000 = 0.\nAnswer: -1515, -25, -11, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 - 2*i - 5. Let v(k) = -4*k**2 + 11*k + 25. Let c(x) = v(x) + 6*w(x). Suppose p + 0*m = -3*m + 11, -5*m = -5*p + 15. Does 14 divide c(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*z + 4*k - 2, -z = -4*k + 19. Let f be 4\/(-6) + (-295)\/(-15). Let m = f + z. Is 16 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u**3 + 830*u**2 + 3955*u - 11270 = 0.\nAnswer: -161, -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9311, 17780, 26251, 34724?\nAnswer: 43199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - o = 23, 0 = -2*r - r + 3*o + 21. Suppose -r*u = -12*u + 12. Solve -2*s - u = s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 685984 and 1144.\nAnswer: 7545824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, d: 3, u: 2, n: 1, w: 1}. What is prob of picking 1 n and 1 u?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -3*s - 5. Suppose 11 - 13 = 5*h - 2*f, -3 = -3*f. Calculate i(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00012937 to 5 dps.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6231036 years to centuries.\nAnswer: 0.006231036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -j + 3*j + 7, 4*j = 2*r - 10. Let o = 3 + -6. Let b = 1 + o. Sort r, b, 0.\nAnswer: b, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2989609*a. Let f(n) = 169*n. What is t(f(l))?\nAnswer: -505243921*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-30)\/(((d*d*d**(3\/20))\/d)\/d))**(2\/13) assuming d is positive.\nAnswer: d**(-603\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 - 7*c - 1. Let r(p) = 2*p**2 + 14*p + 1. Let q(s) = 3*r(s) + 7*y(s). Let g be q(-5). Suppose -h + g*h = -65. Is -14 >= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 13) to base 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1aa823 (base 15) to base 16.\nAnswer: -13dad8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 310*l + 309*l + 30 + l**3 + 29*l**2 - 619*l wrt l?\nAnswer: 3*l**2 + 58*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-16)*(-1 + -1))\/(1552\/6208)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/4, 2\/2405, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 + 108 = 3*t. Suppose 170 = 2*u + 3*u. What is the hundreds digit of (16 + -2)\/(t\/u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 3*m**2 - 12*m + 1. Let l = -36 + 31. Let c be o(l). Solve -w - 3*q = 5, -4*q + c = 5*w - 7*q for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/15*(-29)\/((-203)\/42)*5.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 36\/6 - (-1)\/(-4)*4. Suppose g*z = -3*n - 51, n + 18 = -n + 2*z. Let j(v) = -v**2 - 13*v - 9. Calculate j(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = p + 2*v, -2*p - 3*v + 7 = 0. Suppose p*a + 7 = 2. Calculate the lowest common multiple of a\/((-3)\/(-60)*-2) and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.0743112 rounded to one dp?\nAnswer: -22.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36*a + 1 + 17*a + 30*a)*(a + a - 6*a) + 1 - 2*a**2 - 1.\nAnswer: -46*a**2 - 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 3 e when four letters picked without replacement from {a: 2, o: 8, e: 4}.\nAnswer: 32\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sv when two letters picked without replacement from vvcmsvgvgv.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of k**4\/30 + 82*k**3\/15 - 144*k**2 + 14*k + 1. Solve t(h) = 0 for h.\nAnswer: -90, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -160 divided by -253905\nAnswer: 32\/50781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2. Let r(z) = 2*z**2 - 18. What is -2*o(t) - r(t)?\nAnswer: -4*t**2 + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j**(3\/4)\/j)*j)*j*j*(j**(4\/13)*j)\/j)\/(j\/j**(14\/3))**(-17))**(-16\/7) assuming j is positive.\nAnswer: j**(38236\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -6 times 123\nAnswer: -738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mtmtmmmttmtmmqtmtmtt. What is prob of picking 1 m and 1 q?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, t: 3, g: 5}. What is prob of picking 2 d and 1 t?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.02, -0.01, 1\/3, 2.2, 2 in decreasing order.\nAnswer: 2.2, 2, 1\/3, 0.02, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8094?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/(-26))\/(1\/(-2)). Suppose -5*z = 3*h + 2, 1 = -0*h + h. Is s > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + -110210222?\nAnswer: -110210222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of -15*k**8\/112 + 55*k**7\/14 - 389*k**6\/12 + 77*k**5\/6 + 645*k**4\/8 + 135*k**3\/2 + 2*k**2 + 47*k. What is v in m(v) = 0?\nAnswer: -1\/3, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of -17*j**5\/20 - j**2\/2 - 291*j. Let b = -115 - -116. What is y(b)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x*x**(-11))*x)\/(x**15*x)*(x*x**(-1\/11)\/x)**34 assuming x is positive.\nAnswer: x**(-67\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, b: 2, c: 1, d: 1, w: 2, v: 2}. Give prob of sequence bh.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2004 - 1?\nAnswer: -2005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*j = -28*j - 38. Find m, given that -9\/4*m - 3\/4*m**j - 3\/2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.7910005934 - 0.791. What is s rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7108 or -56859\/8?\nAnswer: -56859\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 - 12. Let t(o) = -o**3 + 8*o**2 + 10*o - 2. Let s be t(z). Let x = -14 - -35. What is the greatest common factor of s and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3089206259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is 21 minutes before 5:54 PM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**2*k**3 + 31*b**2*k**2*l**2 + 2*b**2*k**2*l + b*k**3*l**2 + 5*b*k**2*l**2 - 11*k**3 + k**2*l**2 + 2*k*l**2 wrt k?\nAnswer: 6*b**2 + 6*b*l**2 - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (4 - 9 - (-6 - 2))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -91 + f + 91 - f**5 + (0*f + 0*f - 2*f**2)*(f**3 + 2*f**3 - 5*f**3).\nAnswer: 3*f**5 + f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32 (base 5) to base 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*i**5 + 6*i**3 + 15*i**4 + 19*i**5 + 4*i**3 = 0 for i.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40 - -28) + (3 - -2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2575 - -0.2\nAnswer: -2574.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 - -28 - (-2 - (4 + -2))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -36530 rounded to the nearest 1000?\nAnswer: -37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5 = 2*d. Let n(j) = j + 7. Let t(q) = 149*q + 908. What is the smallest common multiple of t(-6) and n(d)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -232*v**3 + 5 + 232*v**3 + 2*v**4 + 4*v to k + a*v**4 + p*v**3 + y*v + n*v**2 and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10236036 and 2256.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 626774?\nAnswer: 2, 313387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2738 divided by -5.\nAnswer: -2738\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -63038674, -252154689, -567348048, -1008618751, -1575966798, -2269392189?\n\"Answer: -63038672*a**2 + a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 464*b - 459*b - 10 = 0. Calculate the highest common divisor of b and 19.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 676 = 114*t + 4*g, t + 3*g = -2*t + 5*t - 18 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -10695, -42590, -95701, -170028, -265571?\nAnswer: -382330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (3 + 4 - 6)*(-466)\/(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 - 22*d**2 + 21*d + 4. Let x = -8552 - -8573. Give n(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.44 * 8.084\nAnswer: 3.55696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 693*x**3 + 71\/2*x**4 + 1\/2*x**5 - 729*x**2 - 177147\/2*x + 177147\/2 = 0.\nAnswer: -27, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2064000 rounded to the nearest 10000?\nAnswer: -2060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16433904?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 5*t - 654. Let d(g) = 26*g - 3263. What is -2*d(w) + 11*v(w)?\nAnswer: 3*w - 668","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - 4. Let l be (-1)\/1 - 4\/z. Let a = -295.1 - -295.2. What is the smallest value in l, -0.2, 1\/5, a?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11110 - 0?\nAnswer: 11110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.84552914 minus 54112?\nAnswer: -54126.84552914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -13) + -20 - -20\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 5*v**2 + 2. Let m be o(-5). Solve 2 = m*q - q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 - (42 + 0 - 49).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 777 - 728. Solve -4 = -t*c + 45*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 81 + -20887?\nAnswer: -20806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 405 and 40365.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 280415117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 904 divided by -8.\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 3*d - 5*d - 6*b = -d - b - 0*b - 60, -2424 = -808*b for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - m - 230 = 0, 4*z - 4*m = 259 - 75. Let v be 26\/(-65) + 24\/10. Suppose 12 = v*s - s. Calculate the remainder when z is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32706 and 40342.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 3\/8, 3, 0.2 in ascending order.\nAnswer: -1\/3, 0.2, 3\/8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 6*w**2 - 4. Let y(b) = -36*b**2 - 3*b + 5. Give y(i(r)).\nAnswer: -1296*r**4 + 1710*r**2 - 559","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 - -25.9. What is the fourth biggest value in -0.3, f, 0.4, -2\/9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/(-3) + 2\/(-6). Let h(n) = 0*n - n**2 - 5*n + n**3 - 4*n**2 + 1 - 3. Let u be h(6). Solve 0*g - m*i = 2*g + 1, 4*g - u*i = 8 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -42\/514217 and 51\/1776386.\nAnswer: 19540246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 13*t**3 + 31*t**2 - 5*t + 29. Let k(d) = -7*d**3 - 16*d**2 + 2*d - 15. Let v(l) = 6*b(l) + 11*k(l). What is the units digit of v(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o + 51. Is p(-12) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 0*c. Let p be (-10)\/5*(-1 + c). Solve 0 = k - p for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 22*b - 16. Calculate the remainder when m(15) is divided by 110.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (-1)\/5) + (-209)\/(-55)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/4)\/b)\/b**(-6))**35 assuming b is positive.\nAnswer: b**(665\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of -218\/3*x**3 - 185 + 0*x**2 + 201*x. Differentiate m(o) wrt o.\nAnswer: -436*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7, f: 2}. What is prob of sequence fb?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7684, 7786, 7888, 7990?\nAnswer: 8092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 259429488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i - 8, -5*z + 9*z - 3*i = 10 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12912)\/(-10) + (-6 - 35\/(-7))\/5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 2*f + 230 = -i, -3*i + 173 = 2*f. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - 5*t**2 - t - 4. Let s(a) = a**3 + 15*a**2 - 17*a - 11. Let r(j) = -52*j. Let g be r(1). Let p = g + 36. Let m be s(p). Give d(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a litre in millilitres?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -129458.881 rounded to the nearest 1000?\nAnswer: -129000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i**2 + 4*i + 1. Calculate f(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1996 divided by -2?\nAnswer: 998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -3 - (-4 + 3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 13, i: 5}. Give prob of picking 2 k.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6483*q = -6485*q + 35*y - 87, -4*q + 3*y - 40 = 67 for q.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 574 divided by 2?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventeen quarters of a day?\nAnswer: 6120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-15)*0)\/(1*-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 41\/(-4) - 2\/(-8). What is the tens digit of (-2)\/5 + (-174)\/q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/4*((-828)\/(-30) + 2). Which is bigger: 72 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4107 and 11766?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00014369963 rounded to 6 decimal places?\nAnswer: -0.000144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*u - 2*u - 10, 3 = -3*f + 3*u. Let s be (1\/(-3))\/(2\/(-6)). Let j = s - -1. Which is smaller: j or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 316994 - 44.52\nAnswer: 316949.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 f when two letters picked without replacement from fffaabefpebpf.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(2\/7))**(-27)*x**(-4)\/x**12 assuming x is positive.\nAnswer: x**(-355\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/8 + (0 - 1).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 109*l**2 - 4*l**3 + 0*l**3 + 3*l**3 - 2*l - 512*l**4 + 508*l**4 to the form h*l**3 + f*l**2 + a*l + k + j*l**4 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 442 - 312. Let w be q\/4 + 3\/(-6). Suppose 5*u - w = 8. What is the highest common factor of u and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23966*g**2 + 70045.\nAnswer: 47932*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -22202 (base 3) to base 5\nAnswer: -1421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 51*-1*10\/(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40, -8, -84, -194, -344, -540?\nAnswer: -788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -8182921, -8182915, -8182899, -8182867, -8182813, -8182731, -8182615?\n\"Answer: r**3 - r**2 + 2*r - 8182923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 399 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 11*w + 3 = -5*n, -2*n = -4*w + 6. Let h = -80 + 85. Solve w = h*b - 13 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, d: 6, v: 3}. Give prob of sequence vz.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10661 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -827 (base 16) to base 2\nAnswer: -100000100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*o**3\/3 + 41903*o**2\/2.\nAnswer: o**2*(22*o + 125709)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k**3 - 22*k**4 - 35*k**2 - 19*k**4 + k**3 + 64*k**4 - 24*k**4 + k in the form f*k**3 + h*k + t*k**4 + u*k**2 + d and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 11 + (-3 - (-2 - 0)). Let k = 1357 - 1350. Suppose 0 = -b*i + k*i - 6. Let c(v) = -3*v**2 - v. Calculate c(i).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-1098)*22428\/(-4984)?\nAnswer: -1\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-10))\/(136\/(-103700))*-4*3\/15\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*m**2 - 14*m**2 + 14*m**2 in the form r*m**2 + k + n*m and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence el when two letters picked without replacement from jle.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 50424131 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x\/(x**(-2\/13)*x*x))\/x**(-2\/11))**(36\/11))**(-7))**(-7\/3) assuming x is positive.\nAnswer: x**(-55860\/1573)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -168*q**3*r**2*y**3 - q**3*r + q**3*y**3 - 20*q**2*r**2*y**2 - 3*q**2*y**2 + q*r**2*y wrt y.\nAnswer: -1008*q**3*r**2 + 6*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/21 + 604*c\/21 - 6512\/3.\nAnswer: -2*(c - 154)*(c - 148)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -2*d**2\/7 + 932996*d\/7 - 108810192002\/7 = 0.\nAnswer: 233249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)\/sqrt(6) + -2)**2 - (sqrt(13) + (sqrt(832)*1)**2).\nAnswer: -815 - 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -34*u - 24. Suppose 128*r + 13 = 115*r. Calculate the lowest common multiple of t(r) and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u. Let o(i) = 24*i**2 + 5*i + 377. Let a(x) = -29*x**2 - 6*x - 376. Let p(n) = 5*a(n) + 6*o(n). What is c(p(w))?\nAnswer: -2*w**2 + 764","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 7, -2, -3, 6 in decreasing order.\nAnswer: 7, 6, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of w**4\/12 - 2*w. Let x(d) = -176 + 18*d**2 + 88 + 82. Let l(f) = 53*f**2 - 17. Let q(o) = -6*l(o) + 17*x(o). Give j(q(c)).\nAnswer: 144*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15371*t**3 - 16735*t**3 - 1870*t**3 - 1981*t**3.\nAnswer: -35957*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4*y + 5*b - 225 = 0, 2*b = -y - 126. Let k = 75 - 110. Let o be y\/k + (-6)\/14. Solve o*h + h = t + 8, -4*h = -2*t - 12 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/((6\/(-2))\/(-15)). Let n be 24\/10 + 14\/(-35). Suppose 0 = n*b + 4*w - 3682, -g*b + 0*b + 4*w = -9219. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6\/5 of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 7 = 1. Suppose 2*o - 2*n - l = -3*n, -3*o - 5*n = -5. Let u(w) = 22*w + 2. List the prime factors of u(o).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 753978 a multiple of 159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dqddddqdddddqddqqd. Give prob of sequence dqq.\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1221023112300 - 3?\nAnswer: -1221023112303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 58 - 85 - 7*v + 20*v + 23*v wrt v.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36 - -39. Let b be 272\/z + (-4)\/6. Suppose b = -7*m + 16*m. What is the greatest common divisor of 10 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**0\/m)\/(m*m*(((m\/m**(2\/9))\/m)\/m)\/m*m))**(1\/17)*((m\/((m**3*m*m)\/m)*m)\/(m\/m**(5\/2)))\/(m**(-6)*m*m**6) assuming m is positive.\nAnswer: m**(-491\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 722 (base 9) to base 10.\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.25 + -6.35. Let y = k + 7. Let m = 27 + -30. Which is the second smallest value? (a) y (b) -0.5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s - 1. Let t be v(1). Suppose -9*y - 1 = -8*y. Which is bigger: y or t?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21\/829 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t = 29 - 11. Suppose 5*w - 378 = 3*h - 0*h, 320 = 4*w + t*h. Is 13 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 0*d = -i + 3, 4*d = 2*i - 6. Let x(j) = j**3 - 9*j**2 - 31*j + 18. What is the remainder when x(12) is divided by ((i - 3) + -4)*-5?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (0 + 3)\/((-18)\/(-60)) and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -75. Suppose 21 - j = -2*y. Solve 4*g + y = -4*t - t, t = 4*g + 10 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -366844*j**2 - 388207 wrt j.\nAnswer: -733688*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26908 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 92 = b - 113, 5*b = x + 73 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -40 in -276, 58, -1\/5, -2, -1\/4, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 AM and 9:37 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from bbxbbnbbbxbbxbxxxbxb.\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 16) in base 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51918*p + 51918*p - 340*p**2.\nAnswer: -340*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 168947816 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/35 + (-66)\/(-14). Suppose a*t - 20 = 0, -4*q + 2*t + 2*t + 16 = 0. Let x(k) = k**2 - 7*k + 10. Let m be x(q). Solve 5*y - m - 7 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 - 2576*z + 363140. Determine h(134).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = 3*m, -173 = y - 8*m - 66 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 - 7*m**2 - 6*m + 8. Suppose 0 = 6*l - 4*l - 16. Let d(i) = -2*i + 10. Let b be d(l). Determine h(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5146599167 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - 1.24053?\nAnswer: -8.24053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of 1\/4*d**5 + 0*d**4 + 0*d + 0 + 19*d**2 + 0*d**3. Let h(w) = w**2. Determine v(h(l)).\nAnswer: 15*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1914 is divided by 478.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -4*d**2 + 4337*d + 129133. What is h(-29)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -5*j + 2*w + 25, -4*j + 4*w - 4 = 0. Let t be (-927)\/(-15) - (-2)\/10. Suppose -2 + t = j*r. Calculate the greatest common factor of 10 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 65849681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 + 4*t - 2. Let o(q) = -q**2 - 13*q - 33. Let m be o(-9). Give n(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -315 + 318. Solve d + 11 = -n + 3*n, n - r*d - 13 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*a + 30*g - 31*g = 46*a - 88*a + 3, 0 = -4*a + 17*g - 40 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138 = -b + 584. What are the prime factors of b?\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y - 354 - 345 - 324 - 348 + 1407.\nAnswer: 2*y + 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence frrr when four letters picked without replacement from npnfpnfrr?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -14 - 8*w + 14*w**2 + 14. Let q(n) = 5*n**2 - 3*n. Let s(p) = 3*b(p) - 8*q(p). Let h(l) = -l**2. Give h(s(c)).\nAnswer: -4*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4*s - 30 = 0, -21 = -4*r - 7*s + 2*s. Find the common denominator of (1\/r)\/((-4)\/16) and -42\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*f + 237*f - 1117573 - 1165729 = 0. List the prime factors of f.\nAnswer: 2, 7, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-9)\/n)\/n)**(3\/2) assuming n is positive.\nAnswer: n**(-33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3797 + 8089900734.\nAnswer: 8089904531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-4)*g**5*g)**(-11\/4)*(g**0)**(-1\/13)*g\/g**1*g*g\/(g*g**(2\/21))*g assuming g is positive.\nAnswer: g**(-151\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -14*b + 6. Calculate v(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3)\/2)\/(-1))\/(30\/80)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -18. Let f = r - -3. Let b = f + 6. Put 0.5, 0.2, b in decreasing order.\nAnswer: b, 0.5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11340 and 3654?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + -7. Suppose -x*h + 62 = 5*f, 2*h + 0*f = -4*f + 34. Solve h = 4*c + p, -5*c + 5*p + 31 = -c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -3. Suppose o = 2*x - 6*x - 20. Let i = x - -11. Calculate the least common multiple of 4 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1050267?\nAnswer: 3, 350089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2098827948?\nAnswer: 2, 3, 7, 191, 130817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - -3. Solve 0*c - h = -c + s, -5*c = -s - 5 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 822645 to the power of 1\/3, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4110 and 2696055?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -4*t + 6. Let k(i) = 9*i - 7. Let o(f) = -2*f. Let n(q) = -k(q) - 2*o(q). Give -5*n(u) + 6*p(u).\nAnswer: u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/4 of a millennium?\nAnswer: 21000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 15 - q**2 + 9)*(-123 + 50*q + 123) to o*q**2 + g + x*q + b*q**3 and give b.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (44\/(-6)*(-18)\/69 + (-2236)\/(-25714))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/51 and -76\/21?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.08 + -0.02. Let q = p + -0.56. What is the smallest value in q, -0.4, 0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 125 - 91*a**2 - 29*a - 97*a**2 - 96*a**2 - 641 + 281*a**2 wrt a?\nAnswer: -6*a - 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -228*r - 212. Give y(0).\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34481016 is divided by 34481009.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 151773, 303089, 454405, 605721?\n\"Answer: 151316*b + 457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n - 11934*n**2 - 13788*n**2 - 1 - 3*n.\nAnswer: -25722*n**2 + n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177868.\nAnswer: 2, 53, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -53 + 2005?\nAnswer: 1512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1027319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -169, -166, -163, -160, -157, -154?\n\"Answer: 3*s - 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 563, 1516, 3195, 5942, 10099, 16008, 24011, 34450?\nAnswer: 47667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 c when three letters picked without replacement from khhhkkckhkkhckkkhk?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -737719156244\/137 + 40092631844513\/9590. Let c = -1204173157 - b. Let x = 32481 + c. Calculate the common denominator of 27\/2 and x.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -5*s + 19 - 8*s + s - 2. Let g(m) = -2*m + 3. Suppose -4*y + 3*y = 4*p - 14, -2*y + 2*p + 78 = 0. Give y*g(r) - 6*d(r).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1716, -3430, -5144, -6858, -8572?\n\"Answer: -1714*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - 14*q - 20. Suppose -7*i - 15 = -120. What is p(i)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, 3, 5\/21, 2 in descending order.\nAnswer: 5, 3, 2, 5\/21, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 30 or -4\/3?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*l**2 - l + l)*(-132 + 341 + 226) to u + m*l + v*l**2 and give v.\nAnswer: -870","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1749*h**3 - 89*h**2 + 9008*h - 9.\nAnswer: -10494*h - 178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 13. Let i(c) be the first derivative of 1\/3*c**3 + 1 + 3\/2*c**2 - 5*c. Determine i(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1205, 2412, 3619, 4826?\n\"Answer: 1207*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10930.754 - -10852.907585. Let u = b - -111.8464045. Let k = u + -34. What is k rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34*q + 1 - 177*q + 7*q)*(-2*q + 2*q - 2*q - q - q + 3*q + (3*q - 6*q + 2*q)*(-3 + 3 + 1) - 2 + 2 - q).\nAnswer: 612*q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2676740024?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 9:44 PM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/273 and 2\/147.\nAnswer: 1911","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 3*y + 2*s, -2*y + 2*s + 1 = -s for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*p**2 - 112*p**2 + 217*p**2.\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 32 + 2. Suppose -x*w - 135 = -w. Is (388\/(-6))\/(18\/w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 229400150?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9235961039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**2 - 7*j - 2. Let l be i(6). Let k = l + -18. Suppose w = 6*w - k. Is w a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6884, 27312, 61288, 108812, 169884, 244504, 332672?\n\"Answer: 6774*z**2 + 106*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8060 and 2665?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/6 (b) 2\/7 (c) 239 (d) -4 (e) 10\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 105*1204\nAnswer: 126420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -12, 5, 0.041, 29 in increasing order.\nAnswer: -12, 0.041, 1, 5, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*p = -76*p - 4. Suppose -l + 183 = -o, o - 499 = -p*l + 238. Does 28 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**5 - 4*m**2 + 4*m**2 + (4 - 4 + 5*m**2)*(3*m**2 - 2*m**3 - 3*m**2))*(0 + 1 - 3).\nAnswer: 22*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -17.698 and 1689055.33?\nAnswer: 1689073.028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 66129518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-2 + -1 - (-2 - 4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -1061*d**2 + d + 2. Let j(l) = 5*l + 62. Let r be j(-12). Let z be c(r). What is z rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + 1 - (12 - 11)) + -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2524\/29 + 87. Let d(z) be the second derivative of -z**3\/6 + 5*z**2\/2 + 2*z. Let r be d(4). Is i <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**2 + 4*f**2 + 0*f**2 - 75*f - 109*f.\nAnswer: 3*f**2 - 184*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -20 - 3032533?\nAnswer: -3032553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3 - 294*x**2\/5 + 276*x + 120.\nAnswer: 3*(x - 10)**2*(5*x + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/12*64684 + 11 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 0. Let w(o) = -o + 1. Let t(v) = -3*v - 1. Let f(z) = q*w(z) - 3*t(z). Differentiate f(r) with respect to r.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 106\/263835 and 111\/5616754?\nAnswer: 252753930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 3.9. Let h = f - 0. Which is the closest to h? (a) 2 (b) -5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r**3 + 3*r**3 + 3*r**3 + (1 + 7 - 6)*(2*r**2 - 5*r**2 + 2*r**2)*(-r + 3*r + r).\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 172.33 and 16996.\nAnswer: 17168.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4*192.7\nAnswer: 770.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -11. Let p = 0.6 - 0.8. What is the closest to -1 in -0.3, p, q?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17.04 - 14.04. Sort -0.04, p, -0.4, -27 in decreasing order.\nAnswer: p, -0.04, -0.4, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**5*h*h*h*h*h*h*h\/(h*h**3\/h*h*h)*h*h*h*h**5\/(h*h\/(h\/(h\/h**(-1\/2)))*h) assuming h is positive.\nAnswer: h**(23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1200121 (base 3) to base 10.\nAnswer: 1231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + s**2 + 7. Let a be 0\/2 - (-14)\/7. Suppose -a*g = -3*g. What is n(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -18508*b + 18515. Calculate z(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 13*q**2 - 9*q + 15. Let a be b(4). Let k = -184 + a. Solve -5*u + 21 = -f, -k*u + 1 + 2 = -3*f for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 24\/(-18))*1\/(-2).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 889*t - 8899. Give r(10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-33))\/(12\/(-24)*2)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -0.3, 55, 1681.68 in decreasing order.\nAnswer: 1681.68, 55, -0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1 + -117)*(-59 + 29 + -23)?\nAnswer: 2, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6687.701g to tonnes.\nAnswer: 0.006687701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1244 divided by 3?\nAnswer: 1244\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 9:28 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -49999*g**2 + 8*g - 9. Let x be j(1). Round x to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = w + 10, -3*x - 20 = -1128*w + 1130*w for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -29989, -120181, -270501, -480949?\n\"Answer: -30064*l**2 + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 110232010 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 162, 164, 168, 174, 182, 192?\n\"Answer: i**2 - i + 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 201100202112011 (base 3) to base 8\nAnswer: 47200520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - 4. Let k be ((-6)\/(-15))\/(7\/c). Is k > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25.787 - 46.688. Round z to the nearest integer.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -44*s**3 - 24*s**2 - 8*s - 115. Calculate the remainder when j(-5) is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 298 is divided by 38?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5337 - 1964 = -7*r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16933 - 102206. Let q = 85316.993 + t. Let w = q + -44. Round w to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/7? (a) 5 (b) -13 (c) 244 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 46282*y - 1388441. Determine f(30).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -10*l - 65. Let b(j) be the third derivative of j**4\/24 + j**3 - 14*j**2 + 6. Let g(p) = -65*b(p) - 6*f(p). Let u(t) = 8*t. What is u(g(h))?\nAnswer: -40*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 193*z - 421*z = -289*z + 122. Solve z*b + 1225 = 1211 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*n - 27*n - 1 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1046 is divided by 42.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.2, 3, -1\/7, 284 in descending order.\nAnswer: 284, 3, -1\/7, -3.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.5 (b) 547 (c) 0.1 (d) 2\/5 (e) 30 (f) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -22*r + 36. Solve -r*j = -2*l - 6, -5*l - 15 = 11*j - 6*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -433010 (base 5) to base 16\nAnswer: -39a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, s: 9, u: 1, i: 3, f: 2}. Give prob of picking 2 n.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1375) - (sqrt(1375) + sqrt(1375)*1)*-2 - 1*sqrt(1375)*3)\/((2*sqrt(22))\/sqrt(2) + (sqrt(275) - 3*sqrt(275) - sqrt(11))).\nAnswer: -10*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 4. Let n = -5 + p. Let o = 3 + -2. Which is the closest to n? (a) o (b) -0.3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108320 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 670 less than or equal to 670?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 640777.5um in meters?\nAnswer: 0.6407775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-6\/5)*d**(-15)*(d\/d**(5\/6)*d)\/(d\/(d**(-11\/3)\/d)) assuming d is positive.\nAnswer: d**(-207\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 PM and 8:10 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 5:58 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 24202 (base 9) to base 16\nAnswer: 3f4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 47426 and 276?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5118, -20780, -46884, -83430, -130418?\nAnswer: -187848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 62 + -6. Let a = 58 - z. Solve -a*b - 10 = m, -4*m + 6*m = -2*b - 14 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(8\/13))\/k**(-5)*(k**(-2\/25)\/k)**(-11) assuming k is positive.\nAnswer: k**(6011\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence as when two letters picked without replacement from nsaji.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23\/3? (a) -0.1 (b) -2\/5 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 23288973 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-4*(1 + sqrt(242) + 1 - (0 + sqrt(242) + -1))*4)**2 + -2.\nAnswer: 36862","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r + 8 = -1. Let g(c) = c**2. Let u(z) = -2*z**3 + z**2 + z. What is r*u(i) - g(i)?\nAnswer: 2*i**3 - 2*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1106)\/(-395) + 0 + (-2)\/(-10). Solve 0 = 5*u + 18 - v for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 57029\/30 or 1902?\nAnswer: 1902","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*j**3 + 27915*j**2 - 207710*j + 105000 = 0. Calculate j.\nAnswer: 6\/11, 7, 500","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3*i**2 - 94*i - 26. Let c be l(-31). What is the nearest to -0.1 in 7, -2, c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.2 - -0.2. Let x = 0.36 - 0.42. What is the third biggest value in t, 0, x?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - -5. Suppose 7*p = -4*p - 3465. Let j = p - -322. Solve m = -r, r - j*m + c = -4*m for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1244375 divided by -5.\nAnswer: 248875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5576 is divided by 790?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**3 - 249*b**2 - 1214*b + 1464 = 0. What is b?\nAnswer: -244, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000035589876 to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50383547?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107916*d = -107929*d + 312 for d.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**2\/2 + 146*r + 10658 = 0.\nAnswer: -146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 5) + (0 - (0 - 1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 2*k**3\/9 + 13478*k**2\/9 - 26974*k\/3 + 13490 = 0?\nAnswer: -6745, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*i - 9*i + 2*i + (-1 - 1 - 1)*(2 - 1 + 1)*(5 + 1 - 6*i - 5).\nAnswer: 24*i - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 108\/23 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/(3 + (-36)\/8). Let k be x\/(-3)*(54\/(-14) - -4). Let z = -33 - -33.4. Sort k, 0, 2, z.\nAnswer: 0, k, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -71 + 71. Suppose z = -o + 30 + 18. Does 5 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22304 - 4502234?\nAnswer: -4524542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8 - 10)*34\/4. Let r = -14 - j. Solve r*u = 4*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5 - 1)*(-40)\/12. Suppose 2*v = 0, -2 = -2*l - 4*v + 2. Suppose -3*c + 8*c + l*q = 50, -2*c + 3*q = -b. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2 + 44\/5)\/((-5)\/(-46325)*34) is divided by 64?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 - 12*x - 2. Let n be y(-12). Let m be 11 + (-4 - n - -3). Calculate the greatest common divisor of 24 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114127 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + 1368\/(-7282) - (-6)\/33. Which is smaller: m or 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 733 divided by 4?\nAnswer: 733\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*(-2)\/(-10)*(-7 - -2). Let j(q) = q - 1. Let f(w) = -4*w + 2. What is h*j(t) - f(t)?\nAnswer: t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8740, -35002, -78772, -140050, -218836?\nAnswer: -315130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 28160762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -87, 5, -3, 0 in decreasing order.\nAnswer: 5, 0, -3, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.2 and 0.15.\nAnswer: 0.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -4. Let h be 4096\/96*576\/(-512). Put h, 0, w, -4 in decreasing order.\nAnswer: w, 0, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2\/5*q**3 - 2\/5*q**2 + 0*q.\nAnswer: 2*q**2*(q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 - -56. Let f = g - 36. Let i be (1 - (3 - f))*5. What is i rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 = -u - 16*w, -3*u + 19125 = -6*w - 3*w + 3*w + 19125 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -270*u**2. Let a(b) = 476*b. Calculate x(a(d)).\nAnswer: -61175520*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/11, -4, -0.36 in decreasing order.\nAnswer: 6\/11, -0.36, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 56133 by 567.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -4\/3*d**3 + 52\/3*d**2 + 44\/3 - 92\/3*d = 0.\nAnswer: 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -1 - (50 - -3 - (-128 - -124))?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-57)\/(-38))\/(3\/((-30)\/(-8))). Let 3\/4*f**2 + 0*f - 15\/8*f**5 + 0 - 3\/4*f**4 + p*f**3 = 0. What is f?\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77 is divided by 21.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c**4 - 15*c**3 + 15*c**3 + (9*c**3 - 3*c**3 - 2*c**3)*(-2*c + 5*c + 2*c).\nAnswer: 24*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5*s - 1 = -11, 0 = -2*l + 2*s - 12. Let p = 73 - 71. What are the prime factors of l\/5 + 26\/p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -540601 divided by 349?\nAnswer: -1549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -76*s**2 + 1367*s - 2. Give u(18).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 36\/(-8)*(-1 - -5). Let k = l - -34. What is the greatest common factor of 12 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5.44 (b) -3 (c) -0.11 (d) 3 (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2051970593 is divided by 386?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-813*i**4 + 1575*i**4 + 157*i**4)*(-1 + 4 + 1)*(3 - 6 + 1).\nAnswer: -7352*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -635, -4514, -8393?\n\"Answer: -3879*n + 3244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (-33 - (11 - 11))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -83, -226, -369, -512?\n\"Answer: -143*n + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - 6 - (12 - (3 + -8) - 11)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1778299, 3556596, 5334893, 7113190, 8891487, 10669784?\nAnswer: 12448081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2\/4 - 519*w\/2.\nAnswer: 3*w*(w - 346)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27.06 - 0.06. Let n = 9.723 + -36.777. Let j = n + u. What is j rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*b - 9*b + 48 = 0. Sort b, -1\/4, 4.\nAnswer: -1\/4, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(1\/(-1) + -1). Let y(o) = o + 3. Let a be y(-4). Let k = 3 - a. Solve 5*p - 10 = z, -2*v + k*p - 9 = -v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3682 - -3702. Solve 14*f - s*f = 24 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75658909 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 2 j, and 1 y when four letters picked without replacement from {i: 1, y: 1, j: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + 2 - (11 - (3 - -8))) + 11 + -15.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*-2 + 9 + -3 + 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -4*c + 1. Let a(p) = 11*p - 4. Let d(w) = -3*a(w) - 8*v(w). What is the remainder when (-1 - 0\/(-4)) + 2 is divided by d(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {j: 3, v: 2, e: 10}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(700)*2 - sqrt(700)) + -1)**2.\nAnswer: -60*sqrt(7) + 6301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.243856 millennia to months.\nAnswer: 110926.272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -3524428.\nAnswer: 1762214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5 + 2 + 15 + 0\/3. Calculate the highest common divisor of f and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -k**3 + 101*k**2 - 391*k + 291 = 0.\nAnswer: 1, 3, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**3 - 4*m**2 - 3 - m**3 + 3*m**2 + 4*m. Calculate the remainder when 24 is divided by z(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 108 and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1265 and 138.\nAnswer: 7590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 124, 248, 372, 496, 620?\nAnswer: 744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 + 2)*(-2 - 2 + 6) + (-156 - 104 + 204)*(-2 + 3 - 2)*(0 + 3 - 4))*(t**2 + 2*t**2 - t**2).\nAnswer: -104*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 35469 to the power of 1\/2, to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 3904486.65 to the nearest 10000.\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 9, t: 6, g: 2, z: 2}. What is prob of sequence gg?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of -41*p**4\/2 - p**3\/3 - 55*p**2\/2 + 74. Find the second derivative of s(a) wrt a.\nAnswer: -492*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/9*6\/8. Let i(u) = u + 0 + 0. Let b be i(3). What is the closest to 0 in 2\/9, b, c?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1460 - 1471. Let b be 1\/3*(-42)\/28. What is the nearest to b in q, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*u**3\/3 - 310*u**2\/3 - 578*u\/3 - 94.\nAnswer: -2*(u + 1)**2*(7*u + 141)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c + 6*s - 178, -30*c + 148 = -62*c + 28*c + 5*s for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-11460)\/(-40)*4\/6 is divided by 39?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + 0)\/(-1 - 0). Suppose p*h = -3*h. Let k be 10\/(-40) - ((-135)\/12 - 0). Solve -3*b - 3 = h, 4*a - k = b - 2*b for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -43.608672086 and 3.\nAnswer: -40.608672086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -3*v + 3*z + 3532, 0 = 3*v - 3*z - 2652. Suppose 4*d - v - 2716 = 0. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-484)\/(-7260) + (-312)\/(-32)*(-2)\/30?\nAnswer: -7\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 415 a factor of 2230210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5868, 11752, 17636, 23520?\nAnswer: 29404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 12) in base 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-100)\/1575*3535\/(-10) + 8\/(-18).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5*(-35)\/(-11375))\/(((-4)\/(-5))\/4)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 344170*f**2*g**2*v - 4*f**2*g**2 + f**2*g + 48*f**2 - 12*f*g**2 - 25*f*g - 12*f*v**2 wrt v?\nAnswer: 344170*f**2*g**2 - 24*f*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**3*y**3 + 25*b**3*y + 81*b**3 - 10794*b*y**2 + 2*y**3 wrt b.\nAnswer: -12*b*y**3 + 150*b*y + 486*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 + 19 + k**3 - 11 - 9. Let j = -1406 + 1407. Let t(n) = -4 + 3 + 0*n**2 - n**2. Calculate j*g(y) - t(y).\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 54.8 * 0.4.\nAnswer: 21.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + 109 - (-71 + 81). What is the highest common factor of 160 and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1200\/375*10\/28*(-7)\/(-30)?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 787 + -789. What is the second biggest value in 0.283, 4, s?\nAnswer: 0.283","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (4 - 1) + -4 + -4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-3\/5)*r\/(r**(-1\/6)\/r))**(-44))**(-18))**(-16) assuming r is positive.\nAnswer: r**(-99264\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 22 + -272 + 239 - -18.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 196\/49 - -7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-17066)\/115)\/(2\/(-10)). Suppose -4*b = -m + 186. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107*c + 89*c + 81*c - 277*c - 167*c**2.\nAnswer: -167*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112 + 36 - 57 - 32*s - 100.\nAnswer: -32*s - 233","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.30788033 + -0.028016?\nAnswer: -2.33589633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121 is divided by 28?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -880*a - 6225. Give v(-7).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.24161 times 0.6?\nAnswer: -0.144966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475) + -2 - (-2 + sqrt(684) - sqrt(684)))*-3.\nAnswer: -15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k**(2\/3)*k))\/k)**(3\/10)*(k\/(k**(-3\/4)*k))**(-11) assuming k is positive.\nAnswer: k**(-169\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 3*n = -21, 28*s - 23*s = 5*n + 15 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 181285 and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of 0*u**5 + 18*u**2 + 3\/20*u**6 + 0*u + 0 - 7\/24*u**4 + 0*u**3. What is the second derivative of f(d) wrt d?\nAnswer: 108*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.027806 + -0.03311. Round b to four decimal places.\nAnswer: -0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1106823066 to the power of 1\/6, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in -5, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**3 + x**4 - x**3)*(2 - 2*x - 2) + (x + 3*x - 2*x)*(4*x**2 - 4*x**2 - 2*x**4) + 0*x**5 + x**5 + 0*x**5.\nAnswer: -5*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than -6230617039008?\nAnswer: -6230617039012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 14420421 (base 5) to base 9\nAnswer: 254821","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5 - ((-1 - 1) + 2). Let f(v) = 4 + 2*v - a*v + 2*v. Let d = -2 + 4. Determine f(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1165*p**2*z**2 - 3*p**2 - 6*p*z**2 + 22*p - 6*z**2 - 3*z wrt p?\nAnswer: 2330*z**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 3*y**5 - 1833*y**4 - 12987*y**3 + 5505*y**2 + 35268*y - 25956 = 0.\nAnswer: -7, -2, 1, 618","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*g = -63*g + 1908. What are the prime factors of g?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q + 1. Let n be k(-1). Suppose -i = -2*v + i + 4, n*v = -2*i. Let p = -107.8 - -108. Which is the second biggest value? (a) p (b) 0.5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82038029 is divided by 1245?\nAnswer: 1244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/15943602 and 103\/6.\nAnswer: 15943602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 77*x**2 - 352*x - 370. Calculate w(72).\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r + 0*r - 3*r)*(-5*r + 3*r + 4*r) + 4 - 4 + r**2 - 2*r**2 + 2*r - 2*r + (2 - 2 + 2*r**2)*(-2 + 2 + 2).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 6*h + 1. Let c(w) = 561 - 1134 - 15*w + 567 - 16*w. Suppose 0 = -k - 3*k + 8. Calculate k*c(b) + 11*t(b).\nAnswer: 4*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1643024.81 rounded to the nearest 100?\nAnswer: -1643000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6)\/(-8) + 111355950\/2040?\nAnswer: 13, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000210447 to seven decimal places.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 + 4*w + 7. Let r be y(-7). Suppose -2*x + 5*l = -r, 2*l - 56 = -3*x - x. Suppose -x*d + 115 = -9*d. Does 8 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 353903*s**3 + 6*s**2 - 84756*s?\nAnswer: 2123418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 602, 3\/7, 4, 59, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 194914394?\nAnswer: 2, 29, 379, 8867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 7*v - 32. Give c(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 379267 greater than or equal to 379265?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i**4 + 3*i**4 - 9*i**4)*((-3*i + 4*i + i)*(-4 + 1 + 5) - i - 1 + 1 - 3*i + 3*i + i + 51*i - 20*i + 12*i).\nAnswer: -47*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000149999758 to seven decimal places.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37\/111*(-33)\/55.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -567*b + 2*h = -564*b - 171, -4*h - 103 = -5*b + 184 for b.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.755308 and -14.\nAnswer: -14.755308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*(2\/(-3) + 2). Suppose -1613 = 43*c + 193. Let l = -586 + 581. Put -2, h, l, c in decreasing order.\nAnswer: -2, h, l, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -437 = 4*t - 449 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - s + 3 = 0. Suppose s = j + 1. Suppose 5*y + 13 = 5*b - 2, -j*b = 3*y + 4. Put -5, y, 5 in decreasing order.\nAnswer: 5, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23.5 - 83.2. Let p = n - -107. Let g = -6 - -6.4. Which is the third smallest value? (a) -5 (b) g (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) - (1*sqrt(162) + -2 + sqrt(162)))**2.\nAnswer: -36*sqrt(2) + 166","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -96241 to the nearest one thousand.\nAnswer: -96000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**3 - 3 + 4*d**2 + 10*d - 3*d**3 - 14*d**2. Let a be h(-11). Let c be 0*4\/(-1*a). Solve c*w - w + 3 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 + 1 - 3888404\/26. Is h\/(-85) + (-2)\/5 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 6*m - 25 = -2*b, 0 = -m - 3. Solve -6*d = b*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-64 + 65 - (20 - 1))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 13, 13, 21, 43, 85, 153, 253?\nAnswer: 391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20\/(-8)*3*2. Let j be (y\/9)\/(5\/(-15)). Let x be ((36\/40)\/(-3))\/(12\/(-120)). What is the highest common factor of x and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3095\/6809*8\/(-12)*9\/15.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1399419587 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2145*i - 1071*i - 9 - 1066*i. Let a = 4 - 8. Let u(g) = -2*g + 2. Calculate a*l(k) - 18*u(k).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/(-66))\/((-1)\/2). Let v be (10\/15)\/((-22)\/(-18)). Let j = t + v. Which is smaller: 2 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*z - 3 - 4*z + 3 - 8*z - 11*z.\nAnswer: -16*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-80))\/((48\/(-10))\/2)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 10:12 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 246643465 - -54?\nAnswer: 246643552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (108\/42)\/(2 - 60\/35). Solve 0 = 15*t + r*t - 48 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -54 - -112. Suppose -64 + 76 = 3*z. Suppose -7*y + 2*y = -25, 0 = s + z*y - 36. What is the remainder when m is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 34 and -0.01?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 1900 to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*v - 3*w - 31138 = -84*v, -3*v = -2*w - 13342. Does 25 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2133631?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1255 - -859. Let l = -395.9999171 - g. Round l to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of 1\/40*r**6 - 19\/60*r**5 + 0*r**3 + 0*r**4 - 10*r**2 + 0*r + 0. What is the third derivative of u(h) wrt h?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23.1 - 18. Let v = h + 7.9. Let j = 12.9 - v. Is j greater than -29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a centimeter in micrometers?\nAnswer: 42500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 5*n**2 - 6*n**2 - 6*n**2 - n**2 + 8*n + 7. Let y(h) = -h**2 + h + 1. Give x(b) - 6*y(b).\nAnswer: -2*b**2 + 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2535*t = -2560*t - 35625. Is t less than -1426?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -9*k - 1. Does 14 divide j(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.96 rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 2 - 3)*(-3*y + 2*y + 8*y) to p + s*y and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4893767 (base 10) in base 16?\nAnswer: -4aac47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(4\/7))\/(o*o**(11\/3)))**(4\/5))**20 assuming o is positive.\nAnswer: o**(-1424\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25394280 to the nearest integer?\nAnswer: 5039","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 135 = 3*i, -2*j + j + 37 = 4*i. Suppose 3*s + 8*s = j. Put -4, -2, s in ascending order.\nAnswer: -4, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jk when two letters picked without replacement from jkljqjjalkkaq?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*q**2 + 20908346*q + 64549556?\nAnswer: -4*q + 20908346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/95391 and -71\/52995?\nAnswer: 476955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 40*w - 59*w + 19 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1111309*w - 2216*w**2 + 1111309*w to the form f + v*w**2 + i*w and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of -a**4 - a**2\/2 + a - 2. Let q be i(-2). Suppose 0 = -3*f + q + 160. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -63 + 76. What is the units digit of (-12 - -4)\/((-1)\/r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 203*f**3*v**2 - 8*f*v**2 + 1870*v**2 - 2 wrt f?\nAnswer: 609*f**2*v**2 - 8*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dhhhhhhhhhhhd. Give prob of sequence hd.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 + -6. Let w = -16 + b. Let x = 13\/20 + -2\/5. Sort x, w, -3 in ascending order.\nAnswer: -3, w, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25927, -97165, -215887, -382087, -595759, -856897, -1165495, -1521547?\nAnswer: -1925047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -662364, -662351, -662338, -662325, -662312, -662299?\n\"Answer: 13*a - 662377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.167 * -151.635.\nAnswer: 25.323045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 26*v + 105. Suppose -y - 5 = x - 47, -2*y + 2*x + 92 = 0. What is the remainder when p(6) is divided by y?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -229*o + 49737. What is the ten thousands digit of m(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 6*b - 122 + 2604 = 0. Which is bigger: b or -1243?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4611.74 to the nearest ten.\nAnswer: -4610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 490329 is divided by 51?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2981031\/145 + -20559. Which is greater: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 + 3*v - 128. Let b(u) = 3*u**2 + 11*u - 383. Let r(o) = -3*b(o) + 8*z(o). Give r(-16).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 5*l + 5, -2*p + 2 = -l + 1. Suppose 3*z - z - 18 = p. Let o(h) = h**3 - 9*h**2 + 12*h - 8. Let j be o(z). Round j to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, e: 4, c: 1, m: 2}. What is prob of picking 2 e?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 962*m**4 + 42?\nAnswer: 3848*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 3*s - 12 = -5*l, -3*s + 10 = 2*l. Let -3 + 24*f - 3*f**s - 2 - 16 = 0. Calculate f.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-27)\/12 - 1\/2. Let l = r + 13\/4. Let w = 0.964 + -0.664. Which is the closest to l? (a) 1 (b) w (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 4269620\nAnswer: -3\/4269620","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -756765 divided by 2.\nAnswer: -756765\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = -0*j + 5*j. Is ((-184)\/(-6))\/(12\/j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - 13. Let l(i) be the second derivative of 7\/2*i**v + 2*i + 1\/6*i**3 + 0 - 1\/12*i**4. What is l(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 37 * -6046.\nAnswer: -223702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-6*(sqrt(768)*2 + -4 + sqrt(768) + -2 + sqrt(768)*1)*-1*-6*-5)**2.\nAnswer: -24883200*sqrt(3) + 399297598","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 585199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 - -15. Is 21 bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 2*i + 6 = 0. Let n(q) = -q**2 + 2 + 3*q**2 - i - q**2. Let p(a) = -a**2 - a - 1. Let j = 360 + -358. Give j*p(t) + n(t).\nAnswer: -t**2 - 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2 = -12. Let z = -7 - v. Let h = 5 + z. Is h a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.284 - 1.284. Put -0.2, h, -0.1, -69 in increasing order.\nAnswer: -69, -0.2, -0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 5 (b) -15609 (c) -1 (d) -9 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 195485 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12566 and 515.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = -12*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bdk when three letters picked without replacement from {u: 2, t: 1, b: 2, e: 3, k: 1, d: 9}?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2257\/4513 - -1\/9026. Let r = -60 + 39. Let x be (-4)\/r*9\/(-6). Is x greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**3 + 5*i**3 + 0*i**3)*(194*i - 93*i - 38*i).\nAnswer: 189*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 24275286587 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 3:30 AM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -562*v**2 + 305*v**2 + 282*v**2.\nAnswer: 25*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + 4*n**2 + n + 24. Let k be c(8). Let a = k + 589. List the prime factors of a.\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, v: 1, p: 2, t: 4, u: 5}. Give prob of picking 1 t and 1 m.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13725770 and 2.\nAnswer: 27451540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 576 and 216?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 151500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2363 - -0.84025. Let s = x - 129.01955. Let n = s - -128. Round n to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uaa when three letters picked without replacement from {a: 14, u: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 441113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, m: 3}. What is prob of sequence bb?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -20, -179, -604, -1427, -2780, -4795, -7604, -11339?\n\"Answer: -22*f**3 - f**2 - 2*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13776, 15793, 17812, 19833, 21856, 23881?\nAnswer: 25908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5536\/49 + -113. Let f = k + 53\/196. Let c = 4.02 - 0.02. Sort -4, f, c in ascending order.\nAnswer: -4, f, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.7 and -681222230?\nAnswer: 681222231.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18917461 is divided by 2711.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of 5*f**8\/336 - f**7\/35 - 23*f**5\/15 + 97*f**2. Find the third derivative of s(d) wrt d.\nAnswer: 300*d**2 - 144*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 20 - 4 - 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 22\/7 + (-1)\/7. Let x(y) = y - 2. Let d(h) = -h - 2 - 2 + 6. Determine c*d(m) + 2*x(m).\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2641, -2636, -2623, -2596, -2549?\nAnswer: -2476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 divided by 3.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 22202021000 (base 3) in base 10?\nAnswer: 172233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7e (base 16) in base 3?\nAnswer: 11200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -602137 - 1?\nAnswer: -602138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 696750*v - 2. Let k(i) = -2*i**2. Give n(k(a)).\nAnswer: -1393500*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**2 - 71*r - 98. Let u be m(-34). Let k(p) = p**2 - 2*p - 1. Let v be k(3). Solve v = u*a - 10 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(176)*-4)\/sqrt(8))\/(-5*sqrt(98)*1))**2.\nAnswer: 704\/1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8 - 2 - (-2 + 5). Suppose a*n = -n + 60. What is the remainder when 59 is divided by n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -868*x**2. Let w(a) = 1012*a. Determine w(l(s)).\nAnswer: -878416*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -56*w - 3. Let p(r) = 120*r + 5. Let q(f) = -6*p(f) - 13*v(f). Determine q(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 2 - 1) + (5 - 6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 3*a. Let v(c) = -2*c**2 + 712. Give v(m(j)).\nAnswer: -18*j**2 + 712","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -3*h**2. Let o(y) = 210*y + 396. Let r(n) = 30*n + 55. Let f(l) = -5*o(l) + 36*r(l). Give f(b(g)).\nAnswer: -90*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 3 + -10 + (18 - 10) + -7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3487.2 plus -32.137?\nAnswer: 3455.063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from situu. What is prob of sequence uu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 786486*a**3*l**2 - a**3*l - 2*a**2 - 2*a*l**2 + 2*a*l + 4797*a + 3*l - 4 wrt a?\nAnswer: 4718916*a*l**2 - 6*a*l - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73365 is divided by 7335?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 160 and 30?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47 - ((43 - 40) + (-7 - -2 - 6) - 0).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 573 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13356 - 13346) + (-25 - 1 - (-1 - -1)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**3 + 6084*t**2 - 420648*t + 7190320 = 0.\nAnswer: -3110, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-4)*8\/(-2). Solve w + 5 = d*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-five quarters of a gram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 3*s = -125. Let n = -11 + s. Let b = -5218 + 5230. Calculate the lowest common multiple of b and n.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7296 and 42.\nAnswer: 51072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + c**2 + 0)*(-4 + 2 + 0).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 477362?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63867?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 3*n**2)*(228 + 49 - 39 + (2 - 1 + 1)*(1 + 1 - 4)).\nAnswer: -702*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -de0 + 3?\nAnswer: -ddc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*o + 22*o + 24*o + (-1 + 0 + 2)*(2*o - 3*o + 0*o) - 4*o + 0*o + 2*o - 3*o - 1 + 1 + (3 + 3 - 8)*(-4*o - o + 3*o) to x + g*o and give g.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 138351790 divided by 2.\nAnswer: 69175895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (1 + sqrt(612) - sqrt(612))**2 - sqrt(51)\/(sqrt(432)*1).\nAnswer: -4 - sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -183254184, -366508366, -549762548, -733016730, -916270912?\nAnswer: -1099525094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 828 and 1062?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2291352374?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 2*u + 2. What is the units digit of (-14)\/((-24)\/9 - u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3531 + 3598. What is the remainder when 144 is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -4.6. Let v(m) = m**2 + m. Let z be v(1). Let r be (-5)\/(-20) - z\/4. What is the closest to -2\/13 in r, 5, f?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/1832712 and -101\/14890785.\nAnswer: 119126280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.0363 + -8290240423\nAnswer: -8290240423.0363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.06, -2\/11, 83, -1, -1\/16?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 145549 and 26?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-210 - 45*i + 210)*(19 + 14 - 36)*(-2 + 1 - 1)*(2 - 2 + i) to the form v*i**2 + j*i + b and give v.\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((8466\/2516)\/83)\/((-12)\/(-2)*(-7)\/56)?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 60\/(-21)*2\/(8\/(-10)). Let w(v) = v**2 - 6*v + 15. Let z be w(4). Is j less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 2*l**2 + 2*l + 30. Let j be c(0). Suppose j*y + 28 + 62 = 0. Is -20\/9 less than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1078999\/57 + -18931. What is the common denominator of g and 277*2\/(-312) - -1?\nAnswer: 2964","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -131*r + 73*r + 34800. What is the highest common factor of r and 525?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211*a + 870 = -1029 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/106650 and 89\/525?\nAnswer: 746550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35.22 + -36.5. Round z to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1425 - 7128\/5. Sort -4, -20, 0.3, -0.5, p in increasing order.\nAnswer: -20, -4, p, -0.5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.3112 weeks in minutes?\nAnswer: 426496.896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - t = -0*t, 4*h = 2*t + 2. Let c be 4 + (h - (1 + -1)). Let x = c - 5. Solve -5*n - 5 = x, 0 = 5*w - 2*n - n - 13 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6321 - 3159. Calculate the highest common factor of 124 and d.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3256\/(-222))\/(((-8)\/186)\/2)?\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, j: 1, i: 1, v: 2}. What is prob of picking 2 v and 1 j?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7474356ml in litres?\nAnswer: 0.0007474356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -442 - -418. Is x > -23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 1)*(-4 + 3 + 2)*(4 - 2 + 0)*(63 - 55 + 34)*(5*j + 0*j - 4*j) to the form i + t*j and give t.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.14124 from -27.8.\nAnswer: -27.65876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 5*i**3 - 17*i**2 - 6*i + 6. Let g(w) = -4*w**3 + 17*w**2 + 5*w - 5. Suppose 69*n = 112*n + 258. What is n*g(s) - 5*q(s)?\nAnswer: -s**3 - 17*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2699.\nAnswer: 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, o: 7, k: 7, t: 1}. Give prob of sequence kt.\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 917774?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/66*903\/(-21))\/(2\/(-22))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 - 10.8. Let u = -0.80185 + 0.50185. Put -0.5, u, q in decreasing order.\nAnswer: u, -0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1416*j**3*o**3 - j**3*o + 47125*j**3 - 31557198*j**2*o**3 - 2*j**2*o + 2*j**2 wrt j?\nAnswer: -8496*o**3 - 6*o + 282750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 4*x**2 + 3*x - 3. Let d be v(3). Let c = -10 + 10. Suppose -6 + c = -2*h. Put h, d, 5 in ascending order.\nAnswer: d, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 4*k = -45, -4*z + z + 40 = 5*k. Is z\/(-5)*(-8 + 1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1088 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1034, 2067, 3100, 4133, 5166?\n\"Answer: 1033*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -39b2 (base 16) to base 15.\nAnswer: -459a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4\/9847 + -19706\/29541. Is -3\/20 >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - 546308941938?\nAnswer: -546308941937.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2150?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6863933.\nAnswer: 41, 167413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + l**2 + 2*l + 3*l**2 - 6*l**2 + 2*l**2 + (2*l - 2 + 2)*(-1 + 1 + l) - 3*l**2 + l**2 + 3*l**2 - 939*l**2 + 772*l**2 + 970*l**2)*(0*l + 6*l - 3*l).\nAnswer: 2418*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35533501?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 - 161*i**2 - 27*i + 4351. What is n(161)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h + 2. Let a be u(-2). Suppose a = 5*x + 25, 0*x - 5*x - 34 = -3*j. Suppose 25 - 7 = j*w. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n - 1. Let p(w) = 2*w - 27. Let j be p(12). Let s be -1 - -1 - (j - 1). Let r(b) = -b**3 + 3*b**2 + 5*b + 2. Let t be r(s). Determine f(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-198)\/44)\/((-10)\/5).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 3*d)*(-4 + 0 + 3)*(18 + 31 + 0).\nAnswer: 147*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -639 - -673.7. Let d = 59.6 - t. Do 1 and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 414*i + 414*i + 5 - 5 - 819*i.\nAnswer: 9*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.4233 + -0.1233. Suppose 20 = m - 5*n, -22*m - 5*n - 20 = -21*m. Put 0.02, m, 3, x in decreasing order.\nAnswer: 3, x, 0.02, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*r**3)*(-7 + 18 - 8) + (0 + 2*r + 0)*(-7*r**2 - 16*r + 16*r).\nAnswer: -8*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*n**2 + 45078*n - 9015.\nAnswer: -3*(n - 3005)*(5*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, -4, 2, 1.083, -0.4, -46?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 1411 = 22619. Suppose 6*j + m = 10*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 41687 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -3, -0.1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 6*j**2 + 5*j + 4. Let y be z(-1). Suppose y*m - 58 = -i, -i + 8 = m - 2. Solve -2*o - m = -6*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 33*o - 31*o. Suppose -3*n = p + 4*p - 352, -o*n = 2*p - 232. Let v be 468\/54*n\/(-4). Round v to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of -o**6\/720 + 7*o**5\/120 - o**4\/8 + 17*o**2. Let l(i) be the second derivative of h(i). What is l(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 3*q + 50, -2*s + 5*q - 2 = 9. Calculate the remainder when 58 is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 8\/97, 2.1, -5?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4b3b8 (base 13) in base 5?\nAnswer: -13422234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 + 11*g + 9. What is the units digit of d(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = m + 644. Let q = m + -93. Suppose q + 16 = 4*i. What are the prime factors of i?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/1347, -161, 13, 1?\nAnswer: -2\/1347","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u**4\/5 + 856*u**3\/15 + 25406*u**2\/15 + 15476*u\/15 + 2368\/15 = 0. Calculate u.\nAnswer: -16, -1\/3, -2\/7, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 4*h**2 + 4*h - 3. Let t be j(3). Find the third derivative of 18 - 4*c**2 - 4*c**3 - t wrt c.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54055 is divided by 1351.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*8\/176*-2.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 12 = -s. Let w(m) = -s - 3 - 4 + 15 + m. Suppose 4*u + 12 + 23 = -5*j, j - 41 = 4*u. Calculate w(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110132144 (base 6) to base 14\nAnswer: -3947a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17\/(-969)*-19)\/(28\/12).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1042*g + 47 + 49 - 990*g + 2030*g + 57 - 153.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - j - 15 = 0, 0 = -2*z + z - 4*j + 24. Let o(a) be the first derivative of 2*a**3\/3 - 3*a**2\/2 + a + 49. Give o(z).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.438667 millimeters to centimeters.\nAnswer: 0.1438667","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1098600?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -3*d - 3. Let x(v) be the second derivative of v**3\/2 + v**2 - v. Let i(u) = -2*m(u) - 3*x(u). Let o(t) = 12 - 2*t - 6 + 0 - 6. Calculate o(i(j)).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1918*j + 7*j**2 - 2138*j + 4056*j.\nAnswer: 7*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 19118.3 (b) 3\/29 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 51*q - 23*q**3 - 31*q**3 + 55*q**3 - 31*q**2 in the form z*q**2 + u*q**3 + w*q + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-32)\/10)\/((-3)\/15). Suppose -2*q - 2*q + h = 0. Suppose -3*p + 5*u + 70 = 0, p - 2 - 19 = q*u. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/l**10*l\/((l*l**(-11))\/l))\/(l**(-7)*l**8\/l) assuming l is positive.\nAnswer: l**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*r**5 + r**2 + 2015*r?\nAnswer: 220*r**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 21*i - 40. Let v be c(2). Solve 16 = -2*z - 4*d, -5*d + 0*d - 20 = -v*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 13) to base 9\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -21684 - 2?\nAnswer: -21686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 56179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -51399a + -2?\nAnswer: -51399c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 275*d**3 - 25*d**2 + 25*d - 25. Let a(h) = 23*h**3 - 2*h**2 + 2*h - 2. What is -25*a(c) + 2*j(c)?\nAnswer: -25*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 48355 divided by -9671?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 - 13*c - 11. Let q be y(14). Let w(z) = -5 - q + 2 + 0 - z. Calculate w(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d - 3*d + 7*d + 1066 = -3*h - 13*d, -h + 3*d + 123 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3417, 13672, 30763, 54690?\n\"Answer: 3418*d**2 + d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9367 - -9368.47. What is the third smallest value in r, 0, 2\/9, 17?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7705400 to the nearest ten thousand.\nAnswer: -7710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29492738?\nAnswer: 2, 11, 313, 4283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**1\/g)**(1\/36))**47)**(-13\/2) assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -14*t**3 + 2 - 6*t**3 - 1. Is a(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 288 and 6.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.8852 to 2 decimal places.\nAnswer: -0.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 1157166266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 363*o**3 + 3161664*o**2 + 5747580*o + 2612400.\nAnswer: 3*(o + 8708)*(11*o + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -267\nAnswer: 4\/267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l - 13. Let k be z(10). Suppose -4*s = 4*r - 60, -2*s = 5*r - 38 + 8. Let m = s + k. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -3 (b) 3 (c) 131143 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25920 - -26008. Solve 48*s - k*s - 200 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 4 - 19)*(-h**2 + 5*h**2 - 3*h**2).\nAnswer: -22*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + n = -2, 3*n + 2*n + 4 = -4*g. Let z = -1 - g. Suppose z = 4*c + 3*f - 32 + 5, -4*c + 7 = -f. What is the greatest common divisor of 9 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1642931 is divided by 83.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 145090\/17 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*j + 11*j = 3500000. What is j rounded to the nearest ten thousand?\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 57 and 171.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.04 and 0.94?\nAnswer: -0.0376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000034 rounded to seven decimal places?\nAnswer: 0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o**3 - 39*o**2 - 18*o + 22. Suppose 0 = 36*n - 30*n + 114. Let v be f(n). Solve 1 = u + v*h + 5, u - h - 8 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of -w**3\/6 + 5*w. Let v(m) = -4*m. Calculate -6*d(s) + 2*v(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140114 is divided by 40.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 39039 and 42?\nAnswer: 78078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o - 4*o = 21. What is the second derivative of 6*l**o - 2*l - 24*l**3 - 3*l + 20*l wrt l?\nAnswer: -108*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 AM and 11:38 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -60*x**3 - 7*x**2. Let s(w) = 58*w**3 + 6*w**2. What is 9*c(u) + 8*s(u)?\nAnswer: -76*u**3 - 15*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -4*r. Let v(x) = 1. Let f(b) = -5*b**2 - 35. Let h(i) = 9*f(i) + 315*v(i). What is a(h(g))?\nAnswer: 180*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 13\/(-5) + 93\/155?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69419105?\nAnswer: 5, 7, 59, 33617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 5*f = 25, -8 = y + 4*f - 3. Which is the closest to 1\/4? (a) y (b) 13 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5526, -10793, -15812, -20583?\nAnswer: -25106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-37)\/(2069\/(-690) - -3). Let t = r - 30470. What is t rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1128383 (base 13) in base 5?\nAnswer: -2322222124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -475 - -480. Let s(g) = -g**3 + 5*g**2 - 3*g + 4. Give s(x).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 6*v**2 - 2*v + 13. Is z(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -7*q**3 - 15*q**2 + 17*q + 4. Let p(b) = 15*b**3 + 30*b**2 - 34*b - 7. Let v(i) = -13*m(i) - 6*p(i). Give v(-16).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1199714571 to the nearest integer?\nAnswer: 1063","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2. Let i(w) = 2*w**2 - 8*w. What is x(i(p))?\nAnswer: -4*p**4 + 32*p**3 - 64*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -1\/10 (b) -0.4 (c) 150.735 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4640914 rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -10876*t + 25. Let n be z(13). Let d = -220253 - n. Let o = -218890 - d. What is o rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1669 is divided by 62.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v + 2. Let h be p(1). Solve 4*d - 6*x = -x - 14, 0 = 2*d + 3*x - h for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -87 - (-188 + -75 + 117)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w - w - 2622 + 2622.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5 - (1 + 2)\/((-9)\/(-6)). Factor -98\/9*b**5 + 2\/3*b**a + 140\/9*b**4 - 40\/9*b**2 + 0 - 8\/9*b.\nAnswer: -2*b*(b - 1)**2*(7*b + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 7, 68, 171, 310, 479, 672, 883?\n\"Answer: -v**3 + 27*v**2 - 13*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 485849 divided by -2.\nAnswer: -485849\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -968.222 to 0 decimal places.\nAnswer: -968","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -15*z + 10*z. Suppose 0 = d + 2*d + 15, 0 = 3*i - d - 20. What is the greatest common factor of i and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 489.217 + 0.183. What is l rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19077 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.8027 - 4.8027. What is the fifth biggest value in t, 3\/4, 6, 1, -4\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 + 7*f**2 + f + 71. Let u be t(-8). Let v be 3\/2*(-4)\/(-6). Let p(z) = 4*z + z + 3*z + v. Calculate p(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + 9. Suppose -5*s + 9 + w = 0. What is the units digit of 0 - (-2 - s\/1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 1045*u - 14747. Calculate f(14).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5990, -5538, -5086, -4634, -4182, -3730?\n\"Answer: 452*o - 6442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -1. Let k(r) = 26*r + 6. Calculate -k(a) - 6*n(a).\nAnswer: -26*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -705*n**3 - 58 - 579*n**3 + 113 - 55.\nAnswer: -1284*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121587 is divided by 20140.\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4141805341?\nAnswer: 17903, 231347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -467*p**2 + 6121*p - 25611819 wrt p.\nAnswer: -934*p + 6121","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 288 = 55*o + 13. Solve -3*n - 5*m + 29 = 9, -o*n + 3*m = -22 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**4\/3 - 20839*k**3\/6 + 28637*k**2\/3 + 5207*k\/2 = 0. What is k?\nAnswer: -1\/4, 0, 3, 5207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 11*j**3 + 98*j**2 - 103*j + 64. Let b(n) = -4*n**3 - 33*n**2 + 35*n - 22. Let k(z) = -17*b(z) - 6*f(z). What are the prime factors of k(15)?\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2048 = -9*a - 2021 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 736139592.\nAnswer: 2, 3, 73, 140057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 8*t - 44. Let p be g(7). Does 8 divide (-32)\/(-12)*p + (-6)\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 818615 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 + 7*w - 1. Suppose -3*p = p. Suppose 3*y - 2*y + 8 = p. What is the units digit of n(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q**2 - 3*q. Let a(g) = 5*g**2 - 7*g. Let h(y) = -3*a(y) + 7*u(y). Let k(x) be the first derivative of -x**2 - 4. Calculate h(k(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 84\/20 + 1\/(-5). What is the derivative of 0*t - q - t + t - t**2 wrt t?\nAnswer: -2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7790 and 95.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 - 15. Let w be l\/2 - (4 - 5). Suppose 0 = w*n + 3*b - 13797, -4*n = -b - 0*b - 27601. What is n rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of 0 + 0*m**2 + 8*m + 1\/190*m**5 - 2\/57*m**4 + 0*m**3. Solve y(r) = 0 for r.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/7 in -2\/13, 2, 2209, -2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-6) - (-34)\/6. Suppose -q - 4 = -u. List the prime factors of 24\/u*9\/2.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3535585 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -19*n + 135. Let v be t(6). Let y be 39*7\/v - -6. Solve 5*w = -1 - y for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-113)\/(-196))\/((-180)\/(-42)). Let q = j - -1\/120. What is the second biggest value in q, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 1. Let g(y) = 1. Let l(u) = -u**2 + u - 7. Let w(x) = -5*g(x) - l(x). Let b be w(0). Solve b = -a + r*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of i**3\/3 - i**2\/2 + 12*i. Let t be k(3). Suppose 31 - 191 = -4*z. Calculate the highest common factor of t and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u**2 + 5*u. Suppose -23*a = -34 + 149. Let k(i) = 2*i**2 - 4*i. Let g(f) = a*k(f) - 4*m(f). Let n(r) = 59*r**2. Calculate n(g(j)).\nAnswer: 236*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1545?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 207103\/37092 - 1\/6182. Find the common denominator of 155\/798 and m.\nAnswer: 1596","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 10c?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2 = -6. Let o(x) = 2*x - 14. Let p be o(9). Let v = p + k. What is the highest common factor of v and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100101110 + -11?\nAnswer: 100101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -269*n + 134*n - 3 = -138*n, 5*n = 6*a + 23 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 + 11*d**2 - 3*d - 5. What is t(-11)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.166, 0, -0.3, -10.6 in descending order.\nAnswer: 0, -0.3, -3.166, -10.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7\/(-4) - (-5 + 1 + 75\/28). Which is the smallest value? (a) -2\/3 (b) -2.3 (c) 2\/5 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -10 + -6b3c?\nAnswer: -6b4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 40*j**2 + 29*j + 562. Let a(h) = -18*h**2 - 14*h - 286. What is -9*a(z) - 4*s(z)?\nAnswer: 2*z**2 + 10*z + 326","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/8 + 38\/(-88). Let p = 8.15 + -8.55. What is the closest to 1 in p, 1.5, m?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4305457895?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n - 2*n - 82 + 79 to v + a*n and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 0*z + 5 = z, -3*l - 30 = 3*z for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from njktnnneqqjk. What is prob of picking 1 e and 1 j?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2377 + -2369. What is the remainder when 181 is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - (-6)\/(-9)*-3. Let i(g) = -g + 1. Let y be i(2). Let v = -15\/4 - -3. Which is the closest to f? (a) -2 (b) v (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 231070 and 9427656?\nAnswer: 47138280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 - 1)*6\/5. Let r be (-3)\/o - 3\/(-12). Which is the closest to -1? (a) -0.3 (b) r (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 1, 0.1, -3\/8, 12, 2.981?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.51086 hours in microseconds?\nAnswer: 30639096000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 PM and 8:39 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -2*b + w - 117, 113 = -b + 5*w. Let y = -108 - b. What is the highest common divisor of 10 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + ea96?\nAnswer: ea93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**5 + 0*k**5 + 0*k**5 + (-3*k**4 + 2*k**4 - k**4)*(k - 3*k + 3*k) - 3*k + 3*k**5 + 3*k.\nAnswer: -2*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 18672671?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -43 + 34. Let j = a + 9.023. What is j rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -107682403 and 54?\nAnswer: 107682457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25\/3*t**3 + 1\/6*t**4 - 184\/3*t - 104\/3 - 37\/2*t**2.\nAnswer: (t - 4)*(t + 1)**2*(t + 52)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 21012 - 3*t**2 + t + t**2 - 21010. Suppose -3*g = -g - 6. Calculate a(g).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -116332 divided by -508?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 902 in 0.9, -3\/7, -1?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddddddddddddgdddddd. What is prob of picking 3 d?\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2*(1 + sqrt(2)) + -3 + 4.\nAnswer: -2*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/9 - 46*a**2\/3 + 272*a - 2312\/9.\nAnswer: 2*(a - 34)**2*(a - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + 127*c**2 + 2608*c + 298. Give t(145).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1228 * 4.\nAnswer: -4912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-14)*41 - 1. Let s be 1 + 2 - 932\/(-119). Let c = s - f. Put 6\/7, c, -0.3 in decreasing order.\nAnswer: 6\/7, c, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/9 + 87\/(-27). Find the common denominator of 1\/6 and (s\/18)\/((-6)\/123).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14014241 (base 5) in base 7?\nAnswer: 1130321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 + 193 = 18*c + 70 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c**2. Let p(b) = -b + 15766809. Give p(q(k)).\nAnswer: 2*k**2 + 15766809","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26428 is divided by 26420?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1379 - 785. Let c = j + 17. Let w = c + -304. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 376567*u**3 - 763*u**2 - 376565*u**3 - 3 + 3.\nAnswer: 2*u**3 - 763*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {v: 1, r: 1, x: 1, l: 1, y: 8}.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 PM and 1:49 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 2136742?\nAnswer: -1\/2136742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1040486?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -8 - 5 + 17 - 5 + m + 7*m**2. Let q be w(-1). Solve -s + q = -0*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6409396*g**3 - 2518544*g wrt g.\nAnswer: -38456376*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**4 - 25*t**3 - 10*t**2 + 40*t.\nAnswer: -5*t*(t - 1)*(t + 2)*(t + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + 3 - 3) + 4 + -10.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-599)\/6 - -9 - (-10)\/12. Suppose 186 = -2*s - j, -3*s + 7*s + j = -370. Let g = o - s. Solve -g*v + 14 = 2*z, -5*v + 2*z - 5*z + 27 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 0*r. Suppose -w = -r*w. Let y = -0.683 - -3.683. What is the nearest to 2\/3 in y, 2\/11, w?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*n + i = -18*n - 6, 6*i = i for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + ((-152)\/(-14) - 1) + (-70 - -574)\/(-56)?\nAnswer: 34\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (300\/(-45) - -6)\/(-2 - 0). Let o(l) be the first derivative of -1\/15*l**5 - 1\/3*l**2 + 15 + 0*l - 5\/9*l**3 - s*l**4. Factor o(u).\nAnswer: -u*(u + 1)**2*(u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -136 - -136.0000069. What is s rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.356811km in meters?\nAnswer: 4356.811","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c - c**2 + c + (2*c + 3*c - 4*c)*(-3217 + 3217 - 63*c) + (1 - 8*c - 1)*(4 - 1 + 0 - c).\nAnswer: -56*c**2 - 24*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 275*m + 1108. Calculate r(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*s + 17 - 23 - 18*s.\nAnswer: -78*s - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*l + 172 + 86. What is the remainder when 79 is divided by l?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 1:27 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 5*g + 2*i, 4*i - 36 + 39 = 3*g. What is the units digit of 678 - (1 - 24\/(18\/g))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - (-1 - 1)*3572. Suppose 0 = -5*q + u - 2993. List the prime factors of q\/15*((-14)\/(-4) + -2).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 44209\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 977.9362 years in millennia?\nAnswer: 0.9779362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -16, -42, -116, -262, -504, -866, -1372, -2046?\n\"Answer: -4*l**3 + 2*l - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 60*d**3*m**3 + 5*d**3 + d**2*m**2 + 5*d**2 + 3*d*m**3 wrt m?\nAnswer: 360*d**3 + 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 96*z**3 + 50*z**3 + 4 - 7*z**3 + 51*z**3 - 7.\nAnswer: -2*z**3 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 71*m - 144. What is the least common multiple of 3424 and m?\nAnswer: 3424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -266, 11, -8, -5, -3, 5 in ascending order.\nAnswer: -266, -8, -5, -3, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/17 + 12766340*b\/17 - 20372429624450\/17.\nAnswer: -2*(b - 3191585)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -635657 (base 8) in base 16?\nAnswer: -33baf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -209962602*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12849680?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 28*f**2 - 4*f - 55. Give s(-28).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7411? (a) -302 (b) 0.2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 8 = -0*w. Suppose -4*n = -s - 0*s - 1, 0 = 2*n - w. Calculate the smallest common multiple of s and (5 - 279\/54)\/(1\/2)*-9.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000676 to five decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43 - 132 - 154*n**2 + 48 + 41 + 996*n**2.\nAnswer: 842*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = c - 3 + 1, -2*c - 3*k + 5 = 0. What is the fourth biggest value in 1\/4, c, 1\/8, 2?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -848, 20, -3, 2 in descending order.\nAnswer: 20, 2, -3, -848","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m**4 + 7251*m**3 - 471975*m**2 - 1605187*m - 371685 = 0.\nAnswer: -3, -1\/4, 71, 1745","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44) + -3)*2*4 + (((4*sqrt(88))\/sqrt(8))**2 - (sqrt(11) - (-2 + sqrt(33)\/sqrt(3)))).\nAnswer: 16*sqrt(11) + 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 390 minutes before 3:56 AM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -2. Let i be ((-9)\/(-54))\/((-16)\/(-48)). Let c = 0.04 - 2.04. Sort z, c, i.\nAnswer: c, z, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34624677.74 rounded to the nearest one million?\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3851831827779 - -1.\nAnswer: -3851831827778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -14 - -2 - (-13 - (-29)\/(319\/66))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*f - 10 + 0*f + 24 - 2*f**4 - 16 in the form v*f**2 + w*f**4 + n*f + k*f**3 + j and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4830 divided by 105?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 255a (base 13) to base 4.\nAnswer: 1103002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(2\/23)*o)**(-2\/9)\/((o*o**(-5))\/(o**(-8\/3)*o)) assuming o is positive.\nAnswer: o**(395\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 4. Let t = -5 + l. Let b be (t + 6)\/(2 - 3). Solve -d - 17 = -5*c, b = 3*c + 3*d + 2*d - 27 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1128*i - 894*i + 1634*i + 3 to q + z*i and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 - 5*d + 5. Let n be p(-5). Suppose 0*h = 4*h + 16, n*w + 199 = -h. Let y = 196 + w. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 35*p + 43*p = 82*p - 5, 0*p - 5*p = -2*h - 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -20*c**2 + 59*c - 51. Let a(j) = -7*j**2 + 20*j - 18. Let i(k) = -17*a(k) + 6*d(k). Suppose i(m) = 0. Calculate m.\nAnswer: 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-3))\/(6\/(-9)). Suppose p*x - 2 = 2. Suppose 0 = -x*m + 16 + 18. List the prime factors of m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -1\/3*k**4 + 26\/3*k + 8*k**2 + 3 + 2*k**3 = 0.\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -17\/7 (b) -4\/5 (c) 2\/3 (d) -671 (e) 2 (f) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3447.1737 + 3447. Let h = p + 0.182. Round h to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 3*o**2 - o. Let x(n) = -n**2 - 9*n - 2. Let c be x(-9). Calculate the lowest common multiple of 6 and y(c).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6648 a factor of 309317555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - 3*u. Let h(t) = 4*t**2 - 78*t - 37. Let b be h(20). What is p(b)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31244?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14463597 divided by -3.\nAnswer: 4821199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2508716 to the nearest integer?\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22365647?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, -5\/6, 359.2, 0.1 in increasing order.\nAnswer: -5\/6, 0.1, 2, 3, 359.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2280 by 60.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 13, d: 6}. Give prob of picking 1 d and 1 e.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - 9. Suppose 3*g - 5 = 55. What is the remainder when g + ((-9)\/2 + 3)*-2 is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a millennium in months?\nAnswer: 43200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + 2)\/(1 + 0). Suppose p = 5*p - 8. Let h(k) = -p*k + r*k - k. What is h(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50144 and 44625026.\nAnswer: 3134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16\/(-24) + (-29)\/(-3). Let m be (-79)\/p - 4\/18. Let f = 39 + -41. Which is the smallest value? (a) 0.5 (b) m (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1147498 = -26*l - 539122. Round l to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2543.328 + 2521. Round k to one dp.\nAnswer: -22.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3322 is divided by 20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a (base 12) in base 10?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -540 (base 9) in base 5?\nAnswer: -3231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1*sqrt(3388) - sqrt(3388))*1)\/((sqrt(1728)*-1)\/(1*(sqrt(3)*-2 - sqrt(3)))).\nAnswer: -55*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*f**2*o*s**3 + f**2*o*s**2 - 380*f**2 + 2*f*s**3 + 43*o - 20*s**3 wrt f?\nAnswer: -24*o*s**3 + 2*o*s**2 - 760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 79, -234, -561, -902, -1257, -1626?\nAnswer: -2009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 997?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -52608 + 2262366\/43. Let j = f + 1270\/387. Find the common denominator of j and 1\/(-6)*15*59\/(-90).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7028024100 to the power of 1\/6, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a decade in months?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r + 5*v - 16, 8226*v = 5*r + 8230*v - 36 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17350?\nAnswer: 2, 5, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ae8c (base 16) to base 10.\nAnswer: -44684","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of b**4\/30 - 38*b**3\/45 + 64*b**2\/15 - 8*b - 50. Solve u(q) = 0.\nAnswer: 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2195*b*y**3 - 89*b - 2*y**2 - y wrt y?\nAnswer: 13170*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2755 or 1187?\nAnswer: 2755","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 0, 36, -3, 12, -5, -2.\nAnswer: -5, -3, -2, 0, 7, 12, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6801848 and 604732.\nAnswer: 5548","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21349*q**4 + 7*q**3 - 35021*q + 1 wrt q?\nAnswer: -256188*q**2 + 42*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3 = c - 4*x, -4*c = 4*x - 44. Let q = 5 + 0. Suppose m - 4 = q. What is the least common multiple of m and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**3 - 9*q**2 + q + 3. Let o(g) = -g**3 - 6*g**2 - 6*g - 5. Let f be o(-3). Let j be f + 18 + (-4)\/(-2). Is i(j) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 221800915?\nAnswer: 5, 7, 6337169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.44162 times -4\nAnswer: 1.76648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 10. Calculate the common denominator of x + 3 + (-140)\/(-6) and 97\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 181\/36 + (-242)\/8712\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154 + 168 - 480 + 158 - 2657*z**2.\nAnswer: -2657*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 147 = b + 3*j, -2*b - j - 83 = 0. Let i = 70 + b. Let s(y) = 7 - 4 - 1 + y - i*y**2 + 25*y**2. Calculate s(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 119568*o - 1316. Let t(m) = 2174*m - 24. Let c(g) = 329*t(g) - 6*y(g). Let w(f) = -21*f. Determine -2*c(s) + 207*w(s).\nAnswer: -23*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 5, 84, 3, 0.\nAnswer: -4, -3, 0, 3, 5, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14\/5*j - 14\/5*j**2 - 6\/5*j**3 + 6\/5.\nAnswer: -2*(j - 1)*(j + 3)*(3*j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2923 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19146907.\nAnswer: 13, 47, 31337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3053.8 - 5446.9. Round q to the nearest ten.\nAnswer: -2390","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1170 and 3760920?\nAnswer: 48891960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1232 = -232*s - 2434 - 8774 for s.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123495082 is divided by 248982?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0 (b) 91 (c) -0.7823 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 208*g + 2733. Give t(-13).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35 - 29) + 51 + (7 + 3 - 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8281 smaller than 229\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (538 - 91*s - 538)*(-9*s + s + 4*s).\nAnswer: 364*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*w - 4*w - 10*w - 9*w.\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 400 divided by 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 2. Let n = r + 0. Suppose 0 = 26*j - 28*j + 4. Solve -a + j = -n for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b*((b*b**2\/b)\/b)\/b)\/b**5)\/b**(12\/13))**(-13\/4))**(-4\/17) assuming b is positive.\nAnswer: b**(-64\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: (-12992)\/(-116)*(-6)\/(-32)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, 13, -30?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 56.19705ml?\nAnswer: 0.05619705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74962789 - 1.\nAnswer: 74962788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(45\/(-73)) + (-4)\/(-30). Let k(g) = g**2 - 21*g - 35. Let c(l) = l**2 - 11*l - 18. Let n(y) = 7*c(y) - 4*k(y). What are the prime factors of n(o)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -18*x - 2. Let a be c(-1). Solve -6*z + 2*z - 4*r = a, -2*r = 5*z + 23 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8457 + 8462 = o. What is n in -5\/2*n - 1\/2*n**o + 1\/2 + 5\/2*n**4 + 5*n**2 - 5*n**3 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 2 + -7 - (3 + -1) - 3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 55\/4 + -13. Let g = -201.9 + 202. Let u = 113\/5 + -1459\/65. What is the nearest to g in u, w, -0.4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 - 3*x**2 + 6*x**2)*(18 - 8 - 15)*(-3 + 0 + 1).\nAnswer: 20*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18\/42 - (-10)\/(-56). Let j = -3170 + 9512\/3. Which is the third biggest value? (a) -1 (b) j (c) 1\/11 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d**(-4))\/(d\/(d\/(d\/(d*d**(1\/4)))))*(d\/(d**2*d))**(14\/3))**(1\/6) assuming d is positive.\nAnswer: d**(-133\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h + 2*h + 0*h)*(22719 - 22001 - 3*h**2 + 4*h**2).\nAnswer: -2*h**3 - 1436*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2.845809 millennia?\nAnswer: 284.5809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g - 3. Let z be (8\/(-18))\/((-4)\/18). Let p = 8 - z. What is r(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53274*g - 23499*g + g**2 + g**3 + 0*g**3 - g**2 - 29775*g.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1599913)\/126)\/(1\/(-3)). Let i = -37865 + w. Let g = -229 + i. Which is the third biggest value? (a) 2 (b) g (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -19701, -20900, -22099, -23298, -24497?\n\"Answer: -1199*u - 18502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 364 and 992908.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3583 divided by -3\nAnswer: 3583\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2210, 16911, 56182, 132107, 256770, 442255, 700646, 1044027?\n\"Answer: 2014*x**3 + 201*x**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 11:00 AM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/6 of a year?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 - 11*s**2 + 2*s + 18. Let b be q(-11). Let n = 439.98 - 435. Let z = -0.02 - n. What is the second smallest value in b, 3, z, -0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102000041 (base 5) in base 13?\nAnswer: -11a057","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, 0.1, -0.4 in increasing order.\nAnswer: -0.4, 0.1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 32*z + 1. Let h be g(1). Let f be h\/9 + 4\/(-6). Let w be 1\/3 - (-188)\/f. What is the highest common factor of w and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -272938 and 0.5.\nAnswer: -272937.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 - 17*o**2 + 20*o + 33. Let k be m(-18). What is the fourth smallest value in -5, 0.2, k, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163480823.\nAnswer: 11, 17, 874229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 242253230?\nAnswer: 2, 5, 17, 19, 179, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -43 + 66. Let f be (-22 + b)*1*3. Differentiate -f*g**2 + 280*g**3 + 3*g**2 + 13 - 269*g**3 with respect to g.\nAnswer: 33*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (408 + 487 - 9628 - 3127)*(-4 + 4 + 3*x**2).\nAnswer: -35580*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 24 = -i - 5*x, i = -2*x + 12. Let c = -33 - -35. Suppose -3*s + 3 = -c*h + i, h = 2*s. Solve p + 3 - h = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 326259 is divided by 6538.\nAnswer: 5897","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hm when two letters picked without replacement from {z: 5, q: 2, m: 2, h: 2, g: 5, i: 1}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3008 by -360.\nAnswer: -376\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 2265.667nm?\nAnswer: 2.265667","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3603 - 3512. What is the remainder when 270 is divided by i?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3862 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 12:11 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18620?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5196?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/a**(-13\/6))*a)\/(a\/((a**(1\/55)*a)\/a))*(a**(-40))**(-15))**31 assuming a is positive.\nAnswer: a**(6116021\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**3 - 26378*j**2 + 316824*j = 0.\nAnswer: -13201, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 AM and 12:33 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 - 17. Suppose 0 = -t*x - 7 + 17. Solve -7*f + x*f - 20 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 + v + 16. What is d(0)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(((i\/(i\/i**(-1)))\/i)\/i))**(-11\/2) assuming i is positive.\nAnswer: i**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.4 - -4.5. What is the nearest to b in 0, -0.5, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22616144?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 7.62, -2, 23\/9, -18?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/231*11)\/(((-15)\/60)\/(6\/472))?\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-18)\/(-21)*140\/90. Put -2\/3, w, 2\/3 in ascending order.\nAnswer: -2\/3, 2\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of w**3\/3 + 7*w**2\/2 - 11*w + 1. Does 7 divide l(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000058 to seven dps.\nAnswer: 0.0000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -55, -42, 1, -3 in ascending order.\nAnswer: -55, -42, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 - 3*r + 13. Let w be d(3). Let h = 16 - 5. Put 1, w, h in increasing order.\nAnswer: w, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -328975825*j**4 + 487*j + 503343?\nAnswer: -3947709900*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 128 and 16?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y**4\/2 - 615*y**3\/2 - 469335*y**2\/2 + 30275995*y\/2 - 236910525 = 0.\nAnswer: -285, 31, 346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11161192 + 11161197 + 11*l - 22322389.\nAnswer: 11*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -8*w**2 + 900*w - 25. What is the thousands digit of a(35)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - 139*n**2 - 3478*n + 1870. Determine t(-106).\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -8 + 23 + 0 - 5\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10054772 and 37231?\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rpt when three letters picked without replacement from vtlcvpplvprpvrlvtlvr.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 - g + 10. Suppose -5*d + 4*d + 12 = 0. Let z = 19 - d. What is the least common multiple of z and u(0)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - f - f)*(8 - 6 + 2)*(5*f**2 - 3*f**2 - 3*f**2).\nAnswer: 8*f**3 + 8*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24227.\nAnswer: 7, 3461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 3*j**2 - 7*j + 7. Let s be i(4). Put 5, s, 2, 0 in ascending order.\nAnswer: s, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 4 in ascending order.\nAnswer: -4, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-25 - -5)\/(-5) + -2. Let j(z) = 6*z**2 - z + 1. What is j(c)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 12580.2 years?\nAnswer: 125.802","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166373.\nAnswer: 29, 5737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 7*y**2 - 6*y + 81. Let q(c) = c**2 + 15. Let n(m) = 5*q(m) - v(m). Give n(-4).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d + -4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 251*f + 21 = k + 250*f, -3*k = 5*f + 49. Let r = -3 - 0. Put k, 6, r in descending order.\nAnswer: k, 6, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from jjrjqjlq.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13 + 256?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-203116)\/(-187) + 8\/(-44)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-two fifths of a centimeter?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -182.2353 + 182. Let z = q + 0.23534529. What is z rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 8*f**2 - 82*f + 26. Give v(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 + r + 15. Let c be v(0). Suppose c*d - 16*d + 119 = 0. Suppose 5*p = d + 671. List the prime factors of p.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 356 to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*p**2 + 12271*p + 14*p**2 - 1473*p + 16962*p.\nAnswer: 68*p**2 + 27760*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-742)\/106 - (-4 - (-19)\/(-6)). Suppose 5\/6 - 2\/3*l - p*l**2 = 0. Calculate l.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00097776889 to 5 decimal places.\nAnswer: 0.00098","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -92\/11 (b) 5 (c) -6 (d) 0.5 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u + 1. Let l be w(-7). Let m(i) = i**2 + 6*i + 8. Let n be m(l). Let p be n\/20*5 + 2. Solve p*h = h - 15 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 4:40 PM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, 2, 41 in decreasing order.\nAnswer: 41, 4, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 2*n = 12. Let p = -246 + 270. Calculate the highest common divisor of p and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -119285178 = -119285184?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 PM and 5:29 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3 - 11222623*t**2 - 11222622*t.\nAnswer: -t*(t + 1)*(t + 11222622)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*f, 2*f - 26 = -25*b + 19*b. Solve -h - 1 = -4*r - 2, -20 = -3*h - b*r for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 243577, -9 in ascending order.\nAnswer: -9, 8, 243577","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**11*g*g*g**(-2\/47)*(g**0)**(-47))**(-5) assuming g is positive.\nAnswer: g**(-3045\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-1 + 5) - (-34 - -14 - 7).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 9*h**2 - 2*h + 164. What is the units digit of p(33)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181*u - 151 = -1003 - 234 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 156, 169, 180, 189, 196, 201, 204?\nAnswer: 205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 + 3)\/3 + -1 + 87. Let v = -42 + c. Suppose 30 = 4*u - v. Is 8 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 447*u + 1342. Let w be p(-3). Which is greater: w or 1\/25543?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40 - (5 + -4)) + -37.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 1118*c + 415. Let v(m) = 556*m + 207. Let h(s) = 2*f(s) - 5*v(s). Is h(-11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/4 + 20\/(-5). Let i = 8 - 4. Suppose 0 = 5*m - i - 11. Which is the closest to 1? (a) m (b) x (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + -2)\/((-9)\/432) - 4. Suppose 4*a = 2*v + z, 5*a + 10 = 6*a - v. Solve -i - 5*i - a = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/13 in -5, 1.1, 1\/2, 7\/5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 34*v**2 - 9. Let m(f) = -f - 507. Give n(m(c)).\nAnswer: 34*c**2 + 34476*c + 8739657","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4614? (a) 5 (b) 2 (c) 8422\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + -28 + 13 + 37 + (-2 - -29)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of -l + 1 + 1\/3*l**3 + 0*l**2. Factor n(c).\nAnswer: (c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 921 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 288*p**4\/11 - 624*p**3\/11 + 98*p**2\/11 - 4*p\/11 = 0 for p.\nAnswer: 0, 1\/12, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5518 by 178.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 2 = -3*b, 3*z + 14 = -7*b + 8*b for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 8.412855 hours?\nAnswer: 0.350535625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -4*k. Let v(t) = -16*t - 1. Give 9*n(c) - 2*v(c).\nAnswer: -4*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -728, -719, -688, -623, -512?\n\"Answer: 2*k**3 - k**2 - 2*k - 727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of x**4*z + 4985*x**4 + x**3 + 2*x**2 + 27*x*z + 3596*z wrt x?\nAnswer: 24*x*z + 119640*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 3371*g - 1621. Let m(k) = -5056*k + 2444. Let w(o) = 8*d(o) + 5*m(o). Find the first derivative of w(t) wrt t.\nAnswer: 1688","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -4.4. Let g = -0.1 - t. Let p = g - 0.4. What is the closest to -1\/2 in -0.4, p, -1\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -2*l + 24, 3*j - 15 = -0*j + 4*l. Let o be (15\/(-5))\/(j\/(-15)). Solve -o*g + 3*g = 10, -9 = 2*d + 3*g for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4619832 by -1498.\nAnswer: 3084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 + 34*i - 216. Calculate the remainder when 680 is divided by t(21).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1665312?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s\/s**(4\/9))*s\/(s\/(s**(-28)*s))*(s\/(s*s*s**(2\/77)))\/(s\/(s\/s**(-6))) assuming s is positive.\nAnswer: s**(-14956\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.1 in -4, -12.9, -6.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**4 - 3*v**4 + 2*v**4 - 13*v + 3*v**4 + 13*v + (-2*v + 5*v - v)*(-2*v**3 - v + v) - 4*v**4 + 0*v**4 + v**4 + 0*v**4 + 3*v**4 - 5*v**4.\nAnswer: -7*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 9:17 PM?\nAnswer: 8:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -251\/4 - -63. What is the smallest value in -0.3, f, 0.3, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68062971 divided by -14761?\nAnswer: -4611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 115, 1393, 2697, 4039, 5431, 6885?\nAnswer: 8413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 7*z - 4*z = 609, -4*k = -5*z - 2419. Let t = k + -588. Is t a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 0.8. Let t = v + 0.16. Let f = 0.14 + t. Is f greater than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*m**2 - 857715*m - 514620.\nAnswer: -5*(m + 34308)*(5*m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -150 divided by -50?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 37415.\nAnswer: 37415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 115 + -103. Let m be (-7)\/1*r\/(-21). Suppose -5*s + 2*p + 2 = 6*p, -3*s + 4 = p. Solve -2*z + s = -m*l, 4*l - 13 = 2*z - 3*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 665 + 767 = 3*w + 4*z, 0 = w - z - 475. What is the greatest common factor of 170 and w?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*q = -2*q - 0*q - 1484 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (31\/3)\/(9\/459) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s**2 + 11*s - 3*s + s + 15*s + 95 + 3*s**2. Let y be f(-19). Let 0*j + 1\/3*j**5 - 2\/3*j**2 + 5\/3*j**3 + y - 4\/3*j**4 = 0. What is j?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 5 - (-10 - -9) - 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 74\/3? (a) 5 (b) -17 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.002, 2, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -8*p + 19. Let j be z(5). Let k(u) = -5*u. Let l(q) = -51*q. Give j*k(c) + 2*l(c).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(396)*-6 + 0 + sqrt(176) + sqrt(132)\/sqrt(300).\nAnswer: -519*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/9 + 50\/18. Let d be -4 - (-4)\/6*(-9)\/(-6). Let n be 2*-1*1\/(-1). Put n, y, d in descending order.\nAnswer: y, n, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - -6054376?\nAnswer: 6054373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 4*p + 2. Let w be 6\/9*(-45)\/(-10). Let m(t) = -9*t - 3. Calculate w*m(j) + 7*k(j).\nAnswer: j + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*d**2 + 2*d**4 - 12*d**2 + 5*d**3 + 2*d to the form x*d**2 + f + k*d**4 + p*d + z*d**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8549*i - 34675 - 734735 = 0 for i.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38 - -12. What is the remainder when (13 + -5)*o\/(-4) is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1\/8, -2, -0.1, 3\/8, -0.3, -0.0628?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/5, 1\/5, 4, 760?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c. Let u(z) = z**2 + 0*z**2 + 2 - 2. Give u(y(b)).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 5*y = -2*r - 111, 90 = 4*r + 2*y. Suppose u + r = -s, 5*s - 2*u + 49 = -36. Let w = s + 20. Which is the closest to 1\/7? (a) w (b) -2 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1047.65254 to 1 decimal place.\nAnswer: -1047.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -373*0.4.\nAnswer: -149.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*r + 3*r + 17*r.\nAnswer: -22*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 3*x - 4 = 5, -x = 2*v - 3. Suppose 0*i - i = 4*g + 137, -2*g - 63 = -5*i. Let f = v - g. Does 17 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - ((-2 - 0) + 1 - -9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**2\/9 - 12842*y\/9 + 76404 = 0. Calculate y.\nAnswer: 54, 6367","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/(-18))\/1)\/((-50)\/(-18)*21592\/202425)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 2344?\nAnswer: 11720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 4 - 3 - 5)*(-10*w + 3*w + 4*w) + 135*w + 310*w + 196*w as d*w + l and give d.\nAnswer: 659","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 46\/115 - 18\/(-5). Let r(n) be the third derivative of 0*n**3 - 1\/120*n**v + 1\/300*n**5 + 0*n + 0 + 3*n**2. Suppose r(g) = 0. Calculate g.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 3 + 0)*(2 + 1 - 2) + 134 + 52 - 19 + (-2 + 1 + 0)*(-3 + 4 - 2) - 2 + 1 - 1 - 1 + 1 - 1)*(2*h**2 + 8*h**2 - 2*h**2).\nAnswer: 1296*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 19815198.5 less than -0.06?\nAnswer: -19815198.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6, o: 2, z: 5, w: 3, d: 2, g: 1}. What is prob of picking 2 w and 1 z?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 370731 or 370788?\nAnswer: 370788","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.35 - -7818.\nAnswer: 7821.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.1671 and -0.5.\nAnswer: 2.08355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 46, 4, 2\/53 in descending order.\nAnswer: 46, 4, 2\/53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2c9837 - -5?\nAnswer: 2c983c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9384310.\nAnswer: 2, 5, 13, 37, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/48)\/((-33)\/44)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l*l\/l**(-33))\/l)\/(l\/l**(16\/7)))**(2\/41))**(-41) assuming l is positive.\nAnswer: l**(-494\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/6*(-158 + 15950\/220)?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*a - 12. Let f = -2 + a. Factor -2\/3*x - 7\/3*x**f + 0 + 3*x**2.\nAnswer: -x*(x - 1)*(7*x - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 961 + 730. Let t = s + -994. What is the hundreds digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 86, 149, 224, 317, 434, 581, 764, 989?\nAnswer: 1262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 is divided by 19.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.4284562 and 0.04?\nAnswer: -0.097138248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (0 - (-15 + 12))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4405634 is divided by 29?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1+-0.017087241518\nAnswer: 0.982912758482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 312901852*1\nAnswer: 312901852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*j + 42 = -16*j + 3*t, t + 34 = 4*j. Let u(k) be the first derivative of 1\/3*k**3 + 0*k - j + 9*k**2. What is the second derivative of u(s) wrt s?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16690 and 4571391?\nAnswer: 1669","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 5130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 124.\nAnswer: 3\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 154350 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 20667*w - 60513 wrt w.\nAnswer: 20667","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b + 1. Let c(x) = -3*x**2 + 3*x - 6. Let q(n) = -c(n) - 5*v(n). Let g be q(-1). Let z be (-76)\/28 - (-1 - g). Sort 4, z, 0.05 in increasing order.\nAnswer: 0.05, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*g = 17*g + 7038. Calculate the greatest common divisor of g and 552.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + s = 11, -7578 = 4*t + s - 7597 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 + -2)\/(1 + 0 + -2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 + 1. Let t(i) = 5*i**3 - 2*i - 6. Suppose -5*c + 522 + 28 = 0. Suppose c = 6*r + 32. Let v = r + -19. Calculate v*q(y) - t(y).\nAnswer: y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.9 - -61.1. Let x = -0.295 - 75.205. Let u = x + w. Round u to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -170 - -178. Suppose -2*k = -4*k + 10, -4*i + 10 = -2*k. Let c = i - -3. What is the lowest common multiple of x and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 669278304 at most 669278303?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 4*r = 0. Suppose r = 5*w - 5 + 60. What is the least common multiple of 4 and w*(-2)\/(1 - 0)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8909 + 8910. Is h smaller than 2\/101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 8.865983 millennia?\nAnswer: 886.5983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.2 + -2. Let o = -26627 - -26629. Put 5, o, u, 2\/51 in descending order.\nAnswer: 5, o, u, 2\/51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*i = -31*i. Let a = 1 - -3. Suppose -2*c = -5*u - 205, a*c - 2*u + i*u - 370 = 0. What are the prime factors of c?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**7*x*x**(1\/5)*x**(-8)\/(x*x**(3\/13)\/x) assuming x is positive.\nAnswer: x**(-2\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-518)\/(-126) - (0 - -4)) + (0 - (-5320)\/(-252)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*r + 13*r - 2*r in the form c*r + p and give c.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 87 - 88.13. Let r = x - 2.87. Which is the biggest value? (a) -5 (b) 0.06 (c) r (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -45074.9369 + -7.0631. Let r = d + 45051.9896. Let j = -30 - r. Round j to three dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 341729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -21*j**2. Let t(b) = -42 + 15 + 15 + 12 - 18*b. Give d(t(z)).\nAnswer: -6804*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -138472 at least as big as -136419?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 33 + a25?\nAnswer: a58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, q: 1, e: 3, m: 3, s: 2, l: 1}. Give prob of picking 1 s and 2 e.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (13*q + 5*q**2 - 13*q)*(-1 - 2 + 8)*(11*q - 8*q + 1 + 1) as h*q**3 + n*q**2 + r*q + v and give n.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 130 + 3126004?\nAnswer: 3126134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 16184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -8*b. Let w be (12\/3 - 2) + b. Solve 5*l = -n + 8, 4*l - w = 3*l for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -21*b**2. Let s(a) = -13 - a + 13. Calculate x(s(h)).\nAnswer: -21*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5*2\/(-14) - (-334)\/(-1169). Put 12, -4, 2, c, 4 in ascending order.\nAnswer: -4, c, 2, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -12, -442283 in descending order.\nAnswer: 4, 1, -12, -442283","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 1 = -s - 2, 0 = 5*s + 5*h - 5. Let x be (77\/(-63))\/(60\/(-9)). Let t = -1\/3 + x. Which is smaller: t or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/182516400 and -101\/10139800?\nAnswer: 182516400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**2 - 13*y + 14. Let d be l(5). Calculate the common denominator of 65\/18 and (606\/36 + -4)\/d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 7*s**2 + 65*s + 150. Give r(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + (5 - 6) - 6) + 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -1258*x + 2469. Give f(2).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 21*j**2 + 3*j - 62. Let l be h(21). Suppose v = -3*v - 3*q - 8, -4*q = v + 2. Sort v, l, 85 in decreasing order.\nAnswer: 85, l, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.047 + -1177270.\nAnswer: -1177270.047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 11*w**2 + 26306*w + 78922. Calculate f(-3).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 6:59 AM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -142 + 147. What is the second derivative of -101*k - 3*k**g + 53*k + 5*k**5 + 5*k**2 wrt k?\nAnswer: 40*k**3 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 361214 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -155\/66 smaller than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -43065535\nAnswer: -21532767.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 12) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - j + 3*j)*(-179*j**3 - 27*j**3 - 22*j**3).\nAnswer: -1140*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -6*u. Let s(f) = 137174539*f**2 - 2*f. Determine n(s(l)).\nAnswer: -823047234*l**2 + 12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -5.3. Let c = -0.2 + b. Let l(g) = 12*g**2 - 1. Let w be l(0). Is w less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44348*o + 44953*o + 0 + 4 + 3*o**2 - 4 to the form g*o**2 + j*o + s and give j.\nAnswer: 605","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 0*s = -2*s - 36, -2*y + 24 = 4*s. What is the second derivative of y*v**5 + 11*v - 286 + 286 wrt v?\nAnswer: 160*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*t**3 - 53537*t + 53537*t.\nAnswer: -22*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x - 4. Let l(a) = -3. Let h(r) = 8. Let s(y) = h(y) + 3*l(y). Calculate -j(u) + 3*s(u).\nAnswer: -u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-18) + 46\/(-414). Which is the nearest to -6? (a) h (b) -7\/5 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/7, 0.7, -6337, -1\/4?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, u: 3, p: 1, x: 6, m: 1}. What is prob of sequence xxx?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.049401267 rounded to 5 dps?\nAnswer: -0.0494","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -77b (base 13) to base 16.\nAnswer: -505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4542927t in micrograms?\nAnswer: 454292700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 561840.553 rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e + 4123?\nAnswer: 4132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qnxwnanqwxxx. Give prob of sequence awxx.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = -4*u - 2*s + 8, -3*u + 11 = s for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76712 is divided by 212.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nkb when three letters picked without replacement from knnmbdkknnkn.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 0 - 4)*(3 + 0 - 4)*(-2*p + 7*p - p).\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1011 - 1016. Let p = 132 - 658\/5. Suppose -2*i - 2*i - 12 = 0. Sort c, p, i in decreasing order.\nAnswer: p, i, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + 3*a**2 + a - 2. Let b be c(2). Let w = 1.84 - 4.84. What is the biggest value in w, b, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 645134977?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1568037 is divided by 35637.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 7*g - 1. Let m be r(1). Suppose -5*o - 5*i = 5, 0 = 4*o - i - 15 - m. Solve 0*z - 4*q + 16 = 2*z, -5*z - 16 = -o*q for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -72.87 - -2.27. What is t rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 6, i: 2}. Give prob of sequence mii.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 16 and 3833426.\nAnswer: 3833442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 4*v - 3. Let x be b(3). Suppose 5*u + x = 4*r, -6 = -3*r - 2*u + 5*u. Put -6, -5, 3, r in decreasing order.\nAnswer: 3, r, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25)\/(-2))\/(-5)*2\/55*6974\/67204?\nAnswer: -1\/106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -10*p - 2. Let j(q) = 3*q + 1. Let f(a) = -3*j(a) - z(a). Determine f(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 5:31 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 - -1)\/((-4)\/(-4)). Suppose -172 = -z*f + 58. Suppose 5*x - f = g + 103, -x + 26 = -4*g. Does 15 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 5*s**2)*(-10*s**2 - 4*s**2 + 4*s**2 + (-3 + 2*s + 3)*(0 + 0 + 15*s)).\nAnswer: -100*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1791 or 2377\/63?\nAnswer: -1791","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -30, -0.023, 4318?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 210, 239, 270, 303, 338, 375?\nAnswer: 414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20402? (a) -0.3 (b) 1.6 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -466 in increasing order.\nAnswer: -466, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 4*l = -88, -16*k - 289*l = -288*l + 437 for k.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51659.34 nanograms to tonnes.\nAnswer: 0.00000000005165934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 77908781 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/6)\/((-1)\/(-5)). Suppose 0 = -2*t - 10. Let q be t - -4 - 2\/(-6). Which is the third biggest value? (a) i (b) -0.4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3855085567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of 172*y**3 - y**2\/2 + 4268*y. Let f(z) = z**2. Give v(f(x)).\nAnswer: 1032*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, -2, 3, -42 in decreasing order.\nAnswer: 3, 2, 1, -2, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, 34, 24?\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -20. Let a be (-12)\/(-6) - (-2 + 2). Suppose m = a*n + 1. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 4\/3, 4, -277, 6?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -131319.3 times -6\nAnswer: 787915.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82880 = -17*d - 3*d. Let p be d\/444*1\/((-4)\/(-6)). Solve p = -3*t + 2 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -61 + 38. Let n = o - -31. What is the greatest common divisor of 72 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 232421 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (42\/12)\/((-2)\/(-4)). Suppose m*z + 2570 = 9*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 56 and 6?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1\/4 (b) 6 (c) 0 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*y - w, -2*w = -6*w. What is the second derivative of -8*l + y*l - 7*l**3 + 5*l wrt l?\nAnswer: -42*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1662.9 - 1663. Is -1\/235 at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27123114 - -14810914. Round q to the nearest ten thousand.\nAnswer: -12310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from ezppxsx.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 4*d - 287. Let y = 66 - d. Let p be y + -2 + 5 - -1. Solve -5*s - 8 = -r, 5*r - p*s - 19 = 2*s for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2\/15)\/(h\/((h*h*h**(2\/15)*h)\/h*h))*h**(-2\/15)*h*h**(-3\/5) assuming h is positive.\nAnswer: h**(34\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15553597967 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*q - 42 - 8 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 676 is divided by 312?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 4*z - 1588, -4*z + 7*z - 631 = -2*t. Suppose -34*a = -14*a + t. Sort -3, a, -2, -1 in descending order.\nAnswer: -1, -2, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 291 + -103. Let h(x) = -x**2 + 6*x - 2. Let u be h(4). Suppose -u*w = -2*w - i. List the prime factors of w.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 6. Let x = -5564 + 5568. What is the highest common factor of b and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17282051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-3)\/((-27)\/9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -5, -40, 0.14, -154?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(220\/242*11))\/(2\/(-36)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.4 and -4588102.\nAnswer: -4588101.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, 1\/183, 173, 0.5 in increasing order.\nAnswer: 1\/183, 0.5, 3\/2, 173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.582 - 3.082. Let t = -13 + 8. Which is the nearest to 1? (a) 3\/8 (b) t (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -340 - 455*r**2 + 838*r**2 - 386*r**2.\nAnswer: -3*r**2 - 340","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**3 - 3*w**2 - 179*w - 98. Determine r(11).\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.065 - -0.035. Let u = -1.305 + c. What is u rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nmmnmmmnmnmmnnmmmm. Give prob of sequence nnnn.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, f: 5, t: 1, b: 1, l: 3, a: 1}. What is prob of sequence ab?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 + 0.1996827283\nAnswer: 0.3996827283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-2*1\/6 - -1). Let f(c) be the third derivative of 0*c + 1\/12*c**4 + 1\/3*c**3 + 1\/120*c**6 + 0 - 1\/15*c**5 + c**2. Calculate f(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 PM and 9:02 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 8*j**2. Let t(b) = b - 12. Let m(i) = -3. Let g(w) = 4*m(w) - t(w). Calculate x(g(u)).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-30))\/(2\/9)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 816 + -817. Which is the closest to t? (a) -1 (b) -2.8 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2 and -41679984.184.\nAnswer: -41679986.184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -81457.1 - -81457. Let a = 0.4 - 0.6. What is the closest to t in 1, -4\/7, 3\/7, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24268075 divided by -13?\nAnswer: -1866775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1.2 (b) 0.11 (c) -0.4 (d) 6.6 (e) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 6) in base 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 4)*(-6*n - 5*n + 4*n) + 2*n + 1 - 1.\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181773 + 155162 = 5*m + 3*f, -202161 = -3*m + f. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fifty-five quarters of a kilometer?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 2. Let t be ((5 - 3) + -4)*c. Find the first derivative of -3 + t*u - 2*u - 3*u wrt u.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 2*o**2 + 115. Does 8 divide w(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1411 and 2103552?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 83833 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oh when two letters picked without replacement from {h: 6, a: 9, o: 2}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25486 and 8?\nAnswer: 101944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 358338, 716648, 1074982, 1433352, 1791770, 2150248, 2508798?\n\"Answer: 2*o**3 + 358296*o + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = 8*q. Suppose q = 3*l - 7*l + 12. Let f(i) = 2*i**2 + 3*i + 1. Let c(g) = g**2 + g. Let a(v) = l*c(v) - f(v). Solve a(m) = 0 for m.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25.78 + -25.78000913. Round d to 6 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 - 13. What is the second derivative of 7889*z**3 + 19 + z**5 - 4*z - y*z**5 - 7902*z**3 wrt z?\nAnswer: -40*z**3 - 78*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(1\/2))**(-3\/17)*(n\/n**(-1))\/((n\/(n**6\/n))\/n)*(n*n**1)**(1\/3)*(n*n*n**1*n)\/(((n\/((n\/n**(-3))\/n))\/n)\/n) assuming n is positive.\nAnswer: n**(1571\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1542338.\nAnswer: 2, 7, 41, 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -2. Let l = 6 + j. Suppose -2*a = 3*c - 20, -2*a + 4*a - 20 = l*c. What is the highest common divisor of 40 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8 + (0 - 0)\/1. Let g = p + -6. Suppose -159 = -g*x - x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.07 or -19958\/13?\nAnswer: -19958\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 3*p**3 + 6*p**2 - 3*p - 5. Let f(x) = x**3 - 2*x**3 + 0*x**3. Let q(o) = -b(o) - 6*f(o). Is q(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 223.6 to 0 decimal places.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 9*g = 0. Suppose g = -6*l + 7*l - 23. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one tenth of a gram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - 8*p**2 - 72*p + 70. Calculate the smallest common multiple of q(-10) and 990.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8640559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 plus -9566?\nAnswer: -9562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -85, 4, -1, -4.\nAnswer: -85, -4, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*p**2 - 2*p**2 - p**2 - 2*p - 2*p**3 + 5*p to o*p**2 + r + k*p + f*p**3 and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 208 - 201 - (-1 - (39384 + -1)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 599873333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 308 and 47355.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 4*z = 2*q - 327, -3*z = 5*q - 977. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*w - w + 3*w)*((0*w - 3*w + 2*w)*(-8 + 4 + 10) - w + 0*w - 1 - w) to c + l*w + q*w**2 and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2)\/k*k**(2\/7))**(-34)*((k*(k**(-2\/7)\/k)\/k)**1)**44 assuming k is positive.\nAnswer: k**(250\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -411*s**2 - s*u**3 + 827*u**3 - u**2 wrt s?\nAnswer: -822*s - u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*u - 2)*(-2 + 6 + 0)*(0*u**3 + 0*u**3 + 2*u**4).\nAnswer: 16*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 63 - 35. Let m be 88\/q + (0 - 3). Solve m*i**3 + 4\/7*i + 0 - 4\/7*i**2 = 0 for i.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a (base 14) in base 8?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is ac + 15292?\nAnswer: 15360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(121)\/(sqrt(44)\/sqrt(4)) + 4.\nAnswer: sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -342 (base 5) to base 12.\nAnswer: -81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4*z = z - 27, 2*z = -5*t. Let h(a) = a**2 - 23*a + 102. Let b be h(6). Put t, 1, 5, b in decreasing order.\nAnswer: 5, 1, b, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(1088) + 0 + -4 + sqrt(34)\/sqrt(8).\nAnswer: -9 + 17*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/10 and -143\/717180?\nAnswer: 717180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 + 6*h**2 + 5*h + 2. Let y be k(-5). Let x(m) = -m**3 + 0 + y*m - 39*m**3 + 1 + 9*m**3. Calculate the smallest common multiple of 18 and x(-1).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -56864, -56859, -56854?\n\"Answer: 5*m - 56869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 159820244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-40)\/40*(-2 - -1). What is the third biggest value in -0.02, 2, u, -4\/7?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2967.21 to the nearest one hundred.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {b: 4, r: 16}?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.17 - -0.55. Which is the biggest value? (a) s (b) 1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1444)\/152 - -10)\/((-2 + -2)\/(-280))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -88.7 (c) 26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -9 + (9 - (17 - 14)). Put -1, h, 3, -4, 5 in increasing order.\nAnswer: -4, h, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000014787979 rounded to 7 decimal places?\nAnswer: -0.0000148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-48 - 3)*8\/(-12). Find z such that 62*z**2 - r*z**3 - 8*z - 22*z + 0*z + 2*z**4 = 0.\nAnswer: 0, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o - 23. Let b be l(-13). Suppose -107510 - 3312478 = -2*k + b*t, 5130020 = 3*k + 5*t. What is k rounded to the nearest one hundred thousand?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1172, -1852, -2532, -3212, -3892, -4572?\nAnswer: -5252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (14 + -5) - (-2 + -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 661 = 4*d, 0*d + 16 = 4*d. Let a = 131 + r. Solve -3*q + 7*q + a = -3*m, 2*m + 2 = -3*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = l - 17. Let z(h) = -2*h**2 + 6*h - 3. Let f be z(l). Let y(b) = -17*b - 3. Let w be y(f). Calculate the greatest common factor of w and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-21)*m*m**(2\/23)*(m**(-2\/5)\/m)**(-1\/38))**(38\/5) assuming m is positive.\nAnswer: m**(-82489\/575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 11*p = 477. Solve p*k = 48*k + 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 12:23 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(200) + 3)*3)**2.\nAnswer: 1620*sqrt(2) + 16281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 267870 and 3756.\nAnswer: 167686620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9518094 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 3)*(-1 + 2*y + 1) - 1 - 20*y - 54*y + 41*y.\nAnswer: -31*y - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 174, 173, 162, 135, 86, 9?\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**2*q**2*q*q*q)\/((q\/q**(-4\/5)*q*q)\/q**(1\/12))*(q**6*q**(-1\/2))\/(q\/((q**(2\/7)*q)\/q)*q)**(2\/93) assuming q is positive.\nAnswer: q**(113879\/13020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4\/19, 3870 in decreasing order.\nAnswer: 3870, 5, 4\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 664*d - 1293. Let g be j(2). Solve 0 = g*o + 200 - 200 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -4 and 14229 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 25.8.\nAnswer: 2.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 8*t. Let y(a) = 14433*a. Give z(y(w)).\nAnswer: 115464*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*l - 406 - 528 = 36 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18844 and 28?\nAnswer: 18844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9738 + 11717. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 2)*(-h + 0*h + 2*h) + (4 - 1 + 1)*(-5 + 3 + 1)*(-4 + 3 + 3)*(6 - 9*h - 6).\nAnswer: 74*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 0.22223321.\nAnswer: -0.066669963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9055 - 54397\/6. Calculate the common denominator of v and -83\/2320.\nAnswer: 6960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1434 + -1365. Solve 0 = 68*m - w*m - 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1974\/30 - 1\/(-5). Suppose -s = -2*o + 5*u, 4*o - 80 = -u - 2*u. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = -5*p - 673*n + 680*n, -5*p - n = 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11.82 - 0.18. Let h = -12.0042 - y. What is h rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22596, 90499, 203678, 362139, 565888, 814931, 1109274, 1448923?\nAnswer: 1833884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - 3*i - 41. Let a be u(8). Let h be 94\/(-56) - 1\/(-4). Let t = -13\/14 - h. What is the biggest value in t, 2\/13, a?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = -5*o - 6, -o = w - 66 + 69 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**4 + 3723 + c**2 - 3736 + 0*c**2 to the form n*c**2 + g + s*c + m*c**4 + r*c**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + 10*c**2 + 8*c - 9. Let n be a(-9). Suppose n = -2*x - w, 1 = -w - 3. Solve 6 = x*h + h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/u**(-31)))\/(((u*u**(11\/4))\/u*u)\/u)*(u\/(u*u\/(u\/u**(-33)*u)*u))\/u**(12\/7) assuming u is positive.\nAnswer: u**(-69\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1927156?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a century in years?\nAnswer: 1175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of w**6\/24 + 10*w**4\/3 - w. Let k(l) be the third derivative of i(l). Let b(f) = 3*f. What is b(k(x))?\nAnswer: 90*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x**2 + 4*x. Let y(f) = 2*f**2 - 4*f. Let o(b) = 4*s(b) + 5*y(b). Find the second derivative of o(q) wrt q.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - 11) + -61 + 86.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) 494 (c) 4 (d) -0.9 (e) 3\/2 (f) -0.2 (g) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*f**2 - 2*f**2 - 7*f**2 - 2*f**2 to the form v*f**2 + o + i*f and give v.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 65102621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - 10*u + 5. Give y(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13043134 (base 5) in base 14?\nAnswer: 34891","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*m + 69 = g, -5*g + 3*m - 25 = -5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 145 = -p. Let y(r) = -r**3 + 7*r**2 - 4*r - 7. Let v be y(6). Solve -v*k - 9 = -p for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 6 = -4. Let y = -900 - -900.2. Sort g, 4\/7, y, -2\/3 in increasing order.\nAnswer: -2\/3, y, 4\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-2) - 39\/(-182). Which is the closest to 3? (a) r (b) 0.4 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (510\/(-4) - 3)*30\/(-711). Let d = t - 98299\/16116. Find the common denominator of 26\/11 and d.\nAnswer: 2244","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p**2\/6 - 3065*p\/6 = 0. What is p?\nAnswer: -613, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 + 253 = 3*c + 3*a, 5*c - 4*a = 342. Suppose 0 = -p + 8*p + c. Let m be (-16)\/p - (-14)\/35. Solve m*f = -f + 15 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 1 + (2 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -1) + 114 + -109\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/(-22)*66\/(-9). Let k(l) = 1 - 3 + 1 + 5 - l**2 + 3*l. Let v be k(u). Solve v = 5*m + h - 29, 4*m + 2*h = 14 + 14 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26 - -122) + -42 - -24?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*i**2 - 5 - 89*i**2 + 7 - 2.\nAnswer: -101*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 259842, 1049664, 2366034, 4208952, 6578418?\nAnswer: 9474432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*h - 3*h - 9. Let o be h\/(-6)*(1 - 1). Which is smaller: 1\/18 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3081397 or -3081354?\nAnswer: -3081397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 13*m**2 - 108*m - 1418. Give y(-12).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - i + 2*i - 7 = 0, -i - 1 = 0. Let b be 7 - 4\/(12\/9). Suppose 3*o - a - u*a - 36 = 0, -b*o + 18 = 2*a. List the prime factors of o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {b: 2, t: 7}.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o + 134. Let b be i(0). Let a = b + -67. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 5*r + 1 - 9, -3*i + 3*r = 33. Let f(y) = -3*y + 3. Let g be f(i). Suppose -4*x = -g - 22. Solve -4*t = -x - 3 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 76? (a) -40 (b) -2\/9 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*m + 640 + 550. What is the greatest common factor of 187 and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-28)\/182 + (-184)\/(-520). What is the second biggest value in 3\/2, z, -0.032?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -686 + 698.99. Let z = c + -13. Round z to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -64a2 - -3d?\nAnswer: -6464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.1 - 7. Let j = f + 0. Which is the nearest to -0.1? (a) j (b) 2 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1936 + -1813. Solve -g = 4*a - 115 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/18 - 25\/9) + 14. What is the highest common factor of 143 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21003608 greater than 21003603?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 k when three letters picked without replacement from nnknnk?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - 16*q**2 + 8467*q + 159859. Determine y(-19).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**5\/9 - 34*n**4\/9 - 4*n**3\/3 + 820*n**2\/9 + 1550*n\/9 + 250\/3 = 0 for n.\nAnswer: -15, -5, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 67*z + 55. Calculate the remainder when 383 is divided by a(0).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**3 + 45*f**2 - 211*f + 1. Determine i(6).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1295\/4 + -324. What is the closest to w in -0.2, -1, 0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 23\/6 of a week?\nAnswer: 38640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1686 divided by -843?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2. Let i = -176 - -178. Let s(a) = -a**i - 2 - 8*a**2 + 4*a**2 + a**2. Determine r(s(n)).\nAnswer: 16*n**4 + 16*n**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (-4 - (-324)\/30)*10*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 5. Suppose w - 3 = -b. Is -1 >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 580?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -7131090.5 to the nearest one thousand.\nAnswer: -7131000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -13*h + 3. Let c be j(3). Let o be 8\/c - (-38)\/9. Suppose -4*w - 12 = -o*n, 3*w - 8*w = 4*n - 12. Which is smaller: w or -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 - 0.1. Let n be ((-14)\/42)\/(7\/(-7)). Let z be (5\/(-2) + 2)*3. What is the closest to n in -5, z, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91066.4 millilitres to litres.\nAnswer: 91.0664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q**4 - 52*q**3 - 187*q**2 - 263*q - 117. Let g(y) = -5*y**4 - 155*y**3 - 560*y**2 - 790*y - 350. Let b(j) = -3*g(j) + 10*n(j). Factor b(f).\nAnswer: -5*(f + 1)*(f + 2)**2*(f + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 a, and 1 s when three letters picked without replacement from mszaa.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 93*(-107)\/(-19902)*1\/(1\/(-40))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001001001111000001 (base 2) to base 13.\nAnswer: -a66c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1 + sqrt(176))*3 - 6*(0 + sqrt(176) + 0).\nAnswer: 12 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41 - 25. Let r = y - 31\/2. Which is the biggest value? (a) 4 (b) -3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t + 188 = 32*t + 4*t. Solve -3*h + 19 = 4*k, -t*h - 5*k + 24 = -0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-15)*9\/24\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -30.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3. Let f be w(0). Suppose -5*a + 21 + 4 = 0, o + 5*a - 21 = 0. Let q = 95 + -90. Put f, q, o in increasing order.\nAnswer: o, f, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -46.1 + 36.5. Let f = 9.8 + r. Suppose -3*y + 5 = -5*j, -2*y - 3*j + 5 = -8*j. Which is the second biggest value? (a) y (b) -2 (c) 4 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.4 - -0.4. Let a = -1.7 - t. What is the smallest value in -1, a, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1363191, 1363193, 1363195?\n\"Answer: 2*o + 1363189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 1 + (-48 + 92 - 28) - 33?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**31\/u**(-20)*(u\/((u\/(u*u*u**(-1\/10)))\/u)*u)\/(u\/(u**(8\/3)\/u)) assuming u is positive.\nAnswer: u**(1667\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p + 43. Let a be (-30)\/150 - 156\/(-5). Let b be r(a). What is the highest common factor of b and 264?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -30, -30, -34, -42, -54?\n\"Answer: -2*r**2 + 6*r - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3941 + 15561\/4. Let p = w - -51. Is p equal to 1\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 10, -4*n - 6154 + 19718 = -4*p. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 + 1335*b + 52213. Let k be z(-38). Let f = 300 - -597. Calculate the greatest common divisor of k and f.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25712*j + 64588*j + 22063*j.\nAnswer: 60939*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -248 + 287. Let d be -2 - (k - -5)\/(-4). What is the greatest common divisor of d and 234?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410555841 to the power of 1\/2, to the nearest integer?\nAnswer: 20262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 e when two letters picked without replacement from cecvecxeevvcememxe.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2125394*o**2 - 3303829.\nAnswer: -4250788*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-2*sqrt(153) + 4)**2*5.\nAnswer: -240*sqrt(17) + 3135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 3*z**2 - 2*z + 7. Let w be p(5). Suppose 3*s + 0*s = w. Suppose 3*j - s = -3*q, 2*q + 3*j - 3 = 8. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of -s**5\/120 + s**4\/72 + s**3\/6 + 6*s. Solve i(z) = 0.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -5*f**2 - 32*f - 8. Let i(n) = -2*n**2 - 16*n - 4. Let y(v) = -7*i(v) + 3*l(v). List the prime factors of y(9).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 10.9, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-8)*37\/((-555)\/12).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27977*m**3 - 57633 + 27980*m**3 + 57606.\nAnswer: 3*m**3 - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24*n**2*u + 3*n**2 - 4*n*u + 52*n wrt n.\nAnswer: -48*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1630 - -1627) + 0 + 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13739\/20 - -687. Let y(o) be the third derivative of 1\/40*o**6 - 1\/70*o**7 + 0*o**3 + 6*o**2 + s*o**5 - 1\/112*o**8 + 0*o + 0*o**4 + 0. Solve y(h) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1 - 523*v**3 + 0 + 523*v**3 + 505*v - 233*v**5 + 24*v**5 wrt v?\nAnswer: -4180*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*t**2 - t**4 - 1144 + 4*t**3 + t**3 - t**2 + 1141 + 2*t**2 to o*t**4 + r + w*t + h*t**3 + x*t**2 and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**3 - 4*a**3 - 3*a**3)*(-4 + 4 + a + (3 + a - 3)*(-1 - 1 + 4)).\nAnswer: -12*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/7, 0.04, 3551?\nAnswer: 3551","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/4 - 6*153\/(-24). Let p be 8\/10*(k\/(-6) + -1). Are 0 and p non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -4*g - 46. Let r be ((-4)\/(-3))\/(282\/54 + -5). Suppose 2*w - r*w = 104. Is 17 a factor of c(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 31*t**2 - 223*t + 43. Determine f(37).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/5))**(2\/51)\/(z**1)**39 assuming z is positive.\nAnswer: z**(-9949\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-2*-2*sqrt(162) + sqrt(162)))\/((sqrt(288)*-2*2)\/sqrt(12)).\nAnswer: 45*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3*y**2 + 25*y + 106. Let p be k(-4). Calculate the greatest common divisor of p and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 25 - -5?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1310 (base 10) to base 6.\nAnswer: -10022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010200221120 (base 3) to base 9.\nAnswer: 1120846","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 16. Suppose -3*w + 59 = -u. Calculate the greatest common divisor of w and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 912 and 3368.\nAnswer: 4280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -35*c - 37*c + 12*c**3 + 75*c + 27. Let i(o) = -26*o**3 - 5*o - 55. Let t(y) = -3*i(y) - 5*s(y). What is the first derivative of t(h) wrt h?\nAnswer: 54*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -34*l**2 - 11*l - 13. Let k(v) = 9*v**2 + 4*v + 4. Give 7*k(u) + 2*r(u).\nAnswer: -5*u**2 + 6*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7536 by 13.\nAnswer: -7536\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6333559 * 3.\nAnswer: -19000677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j*(j\/j**13)\/j*j)\/j)\/(j**(-1)\/j) assuming j is positive.\nAnswer: j**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 44 = -4*g, -7*f + 8 = 2*g - 2*f. Suppose 0 = -4*u + 34 - 6. Suppose u*c - 3*c = 12. What is the highest common factor of g and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (43016\/(-20) + 48\/60)\/(-4)*6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (1 + -3 + -1*sqrt(1573) - (-1 + sqrt(1573) + -5 + 3)) + 0)**2*-2.\nAnswer: -12656 + 528*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 + 6*x - 2. Calculate a(4).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.05, -153, -1?\nAnswer: -153","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -885*h + 1. What is the thousands digit of u(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - h + 0)*(4026*h**2 + 2845*h**2 - 5390*h**2) to i + w*h**3 + d*h**2 + c*h and give w.\nAnswer: -1481","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**4\/(v*v**(-2\/3)))\/(v\/((v\/(v*v**(-2\/5))*v)\/v))**15 assuming v is positive.\nAnswer: v**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 517737 a multiple of 144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m + 8. Let p be k(6). What are the prime factors of 549\/15 - p\/(-5)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 332 - 1700 = -g. Suppose 2280 = 5*l + 4*h, 3*l = -0*h + 5*h + g. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.162423336 to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.5 in -0.2, -3, 2\/23, -12, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-135)\/450 - 94\/20) + 16\/5.\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.90966 months in decades?\nAnswer: 0.0075805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2468*d = -519*d - 72041 - 110166 for d.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -3*d**2 + 14*d. Let v be r(2). What is the common denominator of (560\/245)\/(v\/7 + -1) and 53\/45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*p + 2*p + 0*p + 9*p to x + v*p and give v.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 - 91.912\nAnswer: -91.312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35 + -53)\/(-6 - -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*d + 375*d - 70*d - 16588 = -330*d for d.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 - -45. Suppose d = -4*d + p. Suppose -o + d = o. Solve o*c + c - 2 = 2*g, 0 = g + 3*c - 17 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -8.1, 2\/5, -2\/3, 1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*s + 150*s**2 - 153*s**2 - 29*s as m*s**2 + o + h*s and give h.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -4 (c) -0.03 (d) -1 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 810 and 189?\nAnswer: 5670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 868 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -48 + 58. Solve 4*w + 12 = -4*x, -3*x + w - 3 = f for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -864\/197 > -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1219 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/36*-2*-1*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/1512 and -20\/3.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*r + 88 + 232 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3104063?\nAnswer: 3104063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 PM and 2:12 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5706210539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1433?\nAnswer: 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 5*x - 11 = 0. Let s be 8\/(-52) - (0 - 1608\/(-26)). Let v = s - x. Round v to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1890, 3684, 5478, 7272?\n\"Answer: 1794*v + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 82 - 69. Let x(a) = -15*a - a**3 + 82 - 22 + 14*a**2 - 21 - 14. Let p be x(v). Let h(d) = -2*d + 2. Let w(k) = -k**2 + k. Calculate p*h(c) - 2*w(c).\nAnswer: 2*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101100101010101001001 - 100?\nAnswer: -10101100101010101001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - 26*p**2 + 45*p - 6. Let h be k(23). Let m = h + 943. What are the prime factors of m?\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 360\/(-26) - (56440\/(-884) - -64)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -10*c + c + 5 - 18 - 8*c**2. Let q(z) = 2*z. Let f be q(-1). Let w(i) = -3*i**2 + 5*i**2 + 2*i + 3 + 0. Determine f*m(b) - 9*w(b).\nAnswer: -2*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 9:10 PM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3430233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - 4\/2 - 2. Suppose k + k - 2 = 0. Which is bigger: k or n?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 70 - 63. Let s(f) = 3*f**2 + 2*f - 5. Let l(u) = 8*u**2 + 6*u - 16. Let j(c) = -2*l(c) + 7*s(c). Let t(i) = 9*i**2 + 3*i - 5. Give g*j(z) - 4*t(z).\nAnswer: -z**2 + 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 64\/5*l + 512\/5 + 2\/5*l**2 = 0.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 23, -677 in ascending order.\nAnswer: -677, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -965400.\nAnswer: 1\/321800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-14))\/((-7)\/(-14))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express i - 269*i**2 + 106*i**4 - i**3 + 553*i**2 + 448*i**4 - 275*i**2 in the form p*i**2 + s*i**4 + v*i**3 + x*i + a and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/21 (b) -6 (c) -2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 11421\/15 + 2*4\/(-20). Let g = -542 + d. List the prime factors of g.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 305 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/53 and -2\/42609 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8001299 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of a**4\/24 - 3*a**2. Let k(i) = 2*i. Let n(b) = -g(b) + k(b). Determine n(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/3, -3, -6\/7, -2\/3, -1, -1654?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 4 + 16. Suppose -4*r + 97 = -5*b, 2*r - 17 - 45 = -2*b. Solve -2*l - 5*n = 23, 3*l = -4*n + w - r for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k**2 + 6*k - 5. Let j(v) = v**2 - v + 1. Let m(p) = f(p) + 2*j(p). Let s(h) = -11*h**2 - 9*h + 6. Let i(b) = 13*m(b) + 6*s(b). What is i(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3545 + 3541. Which is the biggest value? (a) -5 (b) 4\/9 (c) f (d) 27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/5406735 and -79\/59090.\nAnswer: 10813470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from euteut. Give prob of sequence ee.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -261476787.\nAnswer: -5\/261476787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of r**8\/420 + r**5\/30 + r**3\/2 + 4*r**2. Let a(g) be the first derivative of v(g). What is the second derivative of a(s) wrt s?\nAnswer: 48*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 28340\/(-36) - (-12)\/54. Let t = -619 - r. What is the highest common divisor of t and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 5:39 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89 divided by 33587.\nAnswer: -89\/33587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**4*t)\/t*(t*t**(1\/2))\/t*t*t**(-1)*t**(2\/11) assuming t is positive.\nAnswer: t**(103\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 3*m - 27 = 12, 4*f = -3*m + 53. Differentiate -6 - 6*t**2 + 9*t**2 + f wrt t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -125341332 (base 7) to base 16\nAnswer: -7afefe","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*u + 156 = 20*u - 36*u for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 - -24 - 16) + 17 - (-1 + 7) - -47?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 69, 164, 211, 192, 89, -116, -441, -904?\n\"Answer: -3*h**3 - 6*h**2 + 134*h - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3.39 and 215.79?\nAnswer: 219.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gjihijihiii. What is prob of picking 3 i?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i. Let d(h) = 2*h - 6. Let n(y) = -d(y) + z(y). Let k be n(7). Let t(m) = -m**2 + 10*m + 6. Let g be t(11). Put g, k, 1 in increasing order.\nAnswer: g, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilometer in meters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 353192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3 + 3 + 2 + 3 - 3 + (-5 - 2 + 5)*(0 - 1 + 2))*(b + 3*b + 0*b).\nAnswer: -16*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 11 - 1. Let s(q) = -q**3 - 12*q**2 - 10*q + 13. Let n be s(-11). What is the remainder when m is divided by (-2)\/(-2 + 3\/n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f - 9*r - 316 = 9*r + 14, 5*f - 32*r - 49 = -29*r for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - -120?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1025 at most -7173\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-71 + 71 + 377 + (-2 + 0 + 3)*(0 - 2 + 4) + 3 + 2 - 4)*(4*u - 5*u - 50*u**2 + 55*u**2).\nAnswer: 1900*u**2 - 380*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.535 - -3.38. Let d = z - -0.055. What is the closest to 5 in -10, d, -6\/11?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(448) + -1)*1)**2.\nAnswer: -576*sqrt(7) + 16164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153*z - 169*z - 95*z.\nAnswer: -417*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -10, -40, -110, -232?\nAnswer: -418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 38, 82, 126, 170, 214, 258?\n\"Answer: 44*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 6 = z. List the prime factors of z\/(1 + (-114)\/112).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3*c - 3. Determine h(13).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyye when four letters picked without replacement from yeyddyddd?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 108 and 160?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7.95 + 0.05. Let o = -8.0035 + g. What is o rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 192*c**3 - 22*c**3 - 55*c**3 - 103*c**3.\nAnswer: 12*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 8:11 PM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4245, -10248, -16249, -22248, -28245?\n\"Answer: a**2 - 6006*a + 1760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.007*-363\nAnswer: 2.541","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 59 + 9*y + 16*y + 39*y + 18*y in the form m + x*y and give m.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16\/19 + 169\/133. Let v = 3\/673 + -221426\/2019. Let r = v + 111. Which is the second biggest value? (a) x (b) -0.3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(91) + sqrt(91) + (-6*sqrt(91)*-1 - sqrt(91)) + sqrt(91) + sqrt(91))\/(sqrt(21)\/(sqrt(3)*-2 - sqrt(3)))*-1.\nAnswer: 108*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of -x**6\/24 + x**5\/30 + x**4\/12 + x**3\/6 - 191*x**2. Let a = 2 + -3. Let p be v(a). What is p rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1282060 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 + -24. Let d = 2878.119776 - 2918.12. Let p = s - d. What is p rounded to 5 decimal places?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*z = -2*z + 102, 2*z = -q + 100. Suppose 0 = -3*u - q - 271. Is 20 a factor of (0 - u\/(-6))*-6 - -3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -159*a**4 - 454*a**3 + 26*a**2 - 933?\nAnswer: -3816*a - 2724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -61.2979 rounded to one dp?\nAnswer: -61.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9198 and 6570.\nAnswer: 45990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(343)*-1 - (1 + sqrt(343) + 4))**2.\nAnswer: 140*sqrt(7) + 1397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*n**2\/5 - 7034*n\/5 - 1172\/5.\nAnswer: -2*(n + 586)*(6*n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**2 - 261*z - 12. Let s(j) = j. Calculate s(o(x)).\nAnswer: 2*x**2 - 261*x - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 53881 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1040 (base 7) to base 10\nAnswer: -371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11793312 - -18193312. Suppose -j - 5*p = c, 0 = 5*j - 3*p - 510535 + 32510535. What is j rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 420 - 629. Let u = -207 - g. Solve -u*t + 5*t - 9 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194640.7 rounded to the nearest ten thousand?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8274, 8243, 8212, 8181, 8150?\n\"Answer: -31*k + 8305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -118 + (-56)\/6*(-16260)\/7588.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.37 times -1.5\nAnswer: -0.555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 195 and 1203267?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 6, 0, -202, -5, -22567.\nAnswer: -22567, -202, -5, 0, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 2650, 3 in descending order.\nAnswer: 2650, 3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of z**4 + 341835*z**3 - 1838061 wrt z?\nAnswer: 4*z**3 + 1025505*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 1:15 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 0.402574?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s + 3. Let m(k) = -k**3 + 25*k**2 - 134*k - 50. Calculate the remainder when m(15) is divided by u(-9).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 2*u - 2*u + 120, -4*u + 88 = 3*t. Which is smaller: 31 or t?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 562 is divided by 188?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (14 + -12)*13\/2. Suppose -5 = -8*h + x*h. Suppose 6 = 2*q + 4*u, -q - 4*q + 15 = 3*u. Put -0.1, h, q in decreasing order.\nAnswer: q, -0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2 + 30 - 28*b + 0 wrt b?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/13240 and 29\/468.\nAnswer: 1549080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 558271, 1116543, 1674815, 2233087, 2791359?\nAnswer: 3349631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12756 + 46356 = 140*c. Calculate the highest common divisor of c and 3380.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -627?\nAnswer: 622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0040470724 rounded to four dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -4. Let s be u*1*(-30)\/(-40). Suppose 0 = -s*y - 5*w + 167, -5*w = -3*y + 4*y - 39. Does 4 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 10 = 286*n - 291*n, 3*n - 2*x + 6 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -12. Suppose z*d + 1 = -11. Sort d, -4, 2 in increasing order.\nAnswer: -4, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4899447 is divided by 21583.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z*z\/z**(-2\/15)*z))**(-2\/75)*z**13*z\/((z\/((z**4\/z)\/z))\/z)*z assuming z is positive.\nAnswer: z**(19219\/1125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 7 = -2*t - 3*t, -t = 5*k + 7. Let r = 7.1 + -3.1. Put r, t, -18, -3 in ascending order.\nAnswer: -18, -3, t, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -15806 (b) -2\/19 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142577 is divided by 88?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -7*c + 4. Let z(q) = q. Let g(n) = -f(n) - 6*z(n). Let t be g(4). Are t and -4\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -6*q + 16. Let y(s) = s - 3. Let f(b) = 2*m(b) + 11*y(b). Let j(w) = 2*w + 4. Let x(u) = 4*f(u) + j(u). Let l(h) = -3*h**2. Calculate x(l(i)).\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 401, 399, 397, 395, 393, 391?\nAnswer: 389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 6. Let f be 4*(45\/(-16) + 1 + 2). Is p at most as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 3*p + 40 = 32, -p - 16 = 4*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 8*j - 38. Let v be o(-6). Let t = v + -72. Does 11 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 539581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -h + 2. Let g(x) be the second derivative of x**5\/20 + x**4\/12 + x**3\/3 + x**2 - 4*x. What is g(h)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10758 at most as big as 2692?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*d**2 - 2412*d + 163 - 163 + 2412*d.\nAnswer: 23*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1200?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssalsaacash. What is prob of sequence cl?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q + 2*q - 15*q + 0*q to l + h*q and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3 + 2*s**2 + 2 - 6*s + 25*s**3 - 2. Let y be -12 + 8 + -3 - 99\/(-11). What is the tens digit of h(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1312?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007543 to five decimal places.\nAnswer: 0.00075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vppyqrqpvrrqy. What is prob of sequence rvp?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 3*p - p = -26, -2*p + 10 = 3*q. Let g(w) = 3*w - 19. Let k be g(q). Let t(l) = -35*l + 4. What is the remainder when 152 is divided by t(k)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + 12)\/(1*(-4)\/(-12)). Calculate the highest common factor of w and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1621\/243 - -1\/243. Suppose -3*w = 2*w + 40. What is the common denominator of m and w\/22*27\/(-36)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*z + 80726 + 100294 = 24540. Does 183 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -7665?\nAnswer: 7670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(-1 + -1 + 16\/12) + -835 + 833?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3240\/(-132) + (-222)\/(-407) + 34?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2344*s + 2344*s - 17*s**2 - 4694*s.\nAnswer: -17*s**2 - 6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 486 divide 56386206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -714*n**2 + 2*n**3 + 775*n**4 + 1137*n**2 + 1558*n**2 + 3*n**3 - 3*n**3 wrt n.\nAnswer: 18600*n + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6564241 + 100?\nAnswer: 6564341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 153897 divided by 3579?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 107*p**4 - 122*p**4 + 128*p**3 - p - p**2 + 4*p**3 - 210*p**3 as x*p + v + k*p**2 + s*p**4 + c*p**3 and give s.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -10119124, -40476501, -91072130, -161906011, -252978144?\n\"Answer: -10119126*i**2 + i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of 11*v**5\/20 - v**4\/12 - v**3\/2 + v**2\/2 + 5*v. Is n(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 920912 is divided by 2314?\nAnswer: 2254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0128642414 to three decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1154 divided by -390?\nAnswer: 577\/195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -1 + 4 - -1 - -84?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1618 + 744. Which is smaller: -4374\/5 or b?\nAnswer: -4374\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.3 (b) 910 (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -5. Let r = w - -1. List the prime factors of 18 - r - (-1 + 3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72170.\nAnswer: 2, 5, 7, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of -4*p**2 + 4. Let v(m) = 2*m**2. Calculate v(d(c)).\nAnswer: 128*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1460, 0.5, -5563 in decreasing order.\nAnswer: 0.5, -1460, -5563","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**2 + 0*g**2 + g**3)*(-39*g - 10*g**2 - 35*g + 75*g).\nAnswer: -10*g**5 + g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34, 79, 124, 169, 214?\nAnswer: 259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18347, -18325, -18265, -18149, -17959, -17677, -17285?\nAnswer: -16765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.1859806 to 3 decimal places.\nAnswer: -1.186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - 5 - (202 + -173)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.05, 5, 2, 1029?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3*w + 3*w + w + 4. Let q be (-1)\/5 - 6*(-21)\/30. Suppose -t + q*t - 7 = -5*s, 5*s = 5*t + 15. Let p(g) = -4*g - 17. Give s*p(d) + 9*l(d).\nAnswer: d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i - i + 2*i)*(3 + 3 - 2) + 3*i - 7 + 7 - 3 + 3 - 4*i.\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22 + -111?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 205*f + f**2 + 4*f**2 + 3 - 202*f. Let h(j) = -3*j**2 - 2*j - 2. What is -8*h(m) - 5*q(m)?\nAnswer: -m**2 + m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10334012?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3 + 4013*c**2\/5 - 22304*c\/5 - 9564\/5.\nAnswer: -(c - 797)*(c - 6)*(5*c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2321)\/(-13926)*(-1 - 69\/(-15)). Factor 54\/5 + t*g**3 - 9\/5*g - 12\/5*g**2.\nAnswer: 3*(g - 3)**2*(g + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 11 = 3*j, -v - 1 + 8 = 11*j - 13*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -167d + 9?\nAnswer: -1674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2*-496102.36\nAnswer: -992204.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 44 + -41. Suppose -4*m = z*l - 108, -m + 2 = 2*l - 30. Determine y, given that 14*y**4 - 15*y**5 - m*y**4 + 16*y**4 = 0.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -18503751189.48 and 0.35.\nAnswer: -18503751189.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-39.\nAnswer: 7.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 925?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 624\/(-26832)*1*-1591.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2*w = 0. Let c(b) = -3 - 5*b + 3*b + w*b. Let f be c(-7). Solve -3*p = -x + 2*p - 11, -5*x + 3*p = f for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 186 and 15.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7225 + 5501 = 664*p - 554. Let m(t) be the third derivative of 0*t + 1\/10*t**6 + 0*t**3 - 2\/15*t**5 + 0*t**4 - p*t**2 - 2\/105*t**7 + 0. Factor m(v).\nAnswer: -4*v**2*(v - 2)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -13 + (-72522)\/119*-7 is divided by 223.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 2)*(-8 + 15 + 10)*(119*z + 105*z - 4993*z**5 + 4992*z**5).\nAnswer: -68*z**5 + 15232*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -2\/5, -460992 in ascending order.\nAnswer: -460992, -2\/5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/2 and 44 + 2\/((-15)\/9 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -50281808, -100563615, -150845422, -201127229, -251409036?\n\"Answer: -50281807*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of -25*f**2\/2 + 11*f - 1. Let u be p(-5). Suppose 2*t - 51 = -t. Calculate the greatest common divisor of u and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51\/5 of a litre?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-5) + (-48)\/(-10). Suppose 3*c = a - 0 + 4, r*a = 2*c + 6. Solve c*v = -v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 18 = -4*l, -3*k = 4*l + 2*k + 10. Sort -1, -7, 6, l in increasing order.\nAnswer: -7, l, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 103 - 101.8. Let v = i - 1.1. Let f = -29 - -28. Which is the biggest value? (a) 4 (b) 4\/3 (c) v (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2343 + -104?\nAnswer: -3002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in nine tenths of a week?\nAnswer: 9072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = p - 53, -118 = -5*p + 3*c - 37. What is the remainder when p is divided by (4 - 1) + 20 + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n**2 + 2*n**2 - 2*n**3 - 9*n**2 - 24*n**2.\nAnswer: -2*n**3 - 25*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l + 2. Calculate o(-13).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + 23. Suppose -5*h + 19 = 4*z, -5*h + 13 = -2*z - d. Let s(w) = -2*w - 1. Let t be s(-4). What is the highest common divisor of t and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/2 + 1 + 0 + -3. Let o(t) = 8*t + 3. Determine o(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/10 of a milligram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(-2)\/z*z*z*z))\/z**(1\/11)*(z**3\/z)\/z**(-2\/3) assuming z is positive.\nAnswer: z**(118\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 665194582?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -6 - -8 - (-1 - (-23)\/8). Put x, -3, -0.05 in ascending order.\nAnswer: -3, -0.05, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 0 - 3 + (8 + 59 - 17)*(1 - 3 + 0) + 5 + 3 - 3)*(-5*r**2 - r**2 + 4*r**2) as z*r**2 + u*r + i and give z.\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 6 = 2*h, 0 = -8*h + 10*h - 2*y - 30. Let f(j) = -3 - j + 4*j**2 - 3*j**2 + 1. Let c be f(-3). Which is bigger: h or c?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -193305, -386645, -580001, -773379, -966785, -1160225?\nAnswer: -1353705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let w be 344002\/4 - (-5)\/(-10). What is w rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -n**4 - 2*n**4 + 4*n**4 + (2*n - n - 4*n)*(n**2 + 0 + 0)*(3 + n - 3) as z*n**2 + d*n + j*n**4 + b + r*n**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 3896 = 2*k, 3*k = 4*p - 1476 - 1638. Suppose -3*j - p = -16*j. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.19631 to two dps.\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 o when two letters picked without replacement from {h: 1, o: 1, z: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of -3*o**5\/40 - 19*o**4\/24 - 3*o**3 - 5*o**2 - 35*o. Factor g(i).\nAnswer: -(i + 1)*(i + 2)*(3*i + 10)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*w - 5*w = -1248. Is 2\/6*4*439092\/w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18543 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 4, 0, -8, -1.4, 1, 265, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 times -98040?\nAnswer: -88236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -147357*u + 80237 with respect to u.\nAnswer: -147357","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-775 + 394 + 426)*(-x + 5*x - 2*x + (-2 - 2*x + 2)*(-3 + 5 - 1) - 3*x + x + 0*x + x + x - x) as c*x + d and give c.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - k - 1)*(5*k - 4*k + k) + (-k + 54 + 4*k - 27)*(2*k - 2*k + 3*k).\nAnswer: 7*k**2 + 81*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -128881.6 and -1.95?\nAnswer: 251319.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -33.043795 and 0.782?\nAnswer: 33.825795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**5\/9 - 21394*b**4\/9 - 14260*b**3\/3 = 0. Calculate b.\nAnswer: -10695, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8a5a (base 16) to base 12.\nAnswer: 185b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of -d**3\/2 + 42*d**2 - d - 17. Determine s(28).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j**3 - 4*j**2 - 3*j + 3. Does 10 divide d(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/3 (b) 46731\/4 (c) 2 (d) -4 (e) -30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v. Let g(n) = 278*n - 573*n - 583*n**2 + 295*n. Calculate a(g(q)).\nAnswer: -583*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**3\/2 - 679*h**2\/6 - 38533*h\/6 - 12769\/6 = 0. What is h?\nAnswer: -113, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q**2 + 3*q + 3. Let j(i) = 14*i**2 - 22*i - 22. Let l(n) = -6*j(n) - 44*m(n). Let g(t) = 6*t - 12*t + t**2 + 6*t. Give g(l(v)).\nAnswer: 16*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 5153*o - 1102. Does 11 divide g(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 2:23 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/2? (a) -52 (b) -5 (c) 3\/7 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 - 2 = 764*z + 697*z + 31*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 203 * -3.\nAnswer: -609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/16*(16\/2 + 2). Let z(w) = 4 + 9*w - 5 - 2. What is the remainder when z(q) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1243044 by -37668.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -247327 + 399194. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 9 = 3*f, -49 + 52 = -f for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 77853865 to the power of 1\/5, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l. Let y be k(5). Let r = -7 + y. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11047.46 and -18?\nAnswer: -198854.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 8. Let x be 1\/o*4 + 4. Find the second derivative of -12*b**x - 2*b**2 + 10*b + 0*b + 0*b wrt b.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 7*j**2 + 6*j + 21. Give r(-3).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1103 + 1395 - 292 - 5*i**2.\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = v + 8, 2*i + 18*v - 22*v = 22. Sort -1, i, 4 in decreasing order.\nAnswer: 4, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.87 + -157128783\nAnswer: -157128781.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*h - 2076 = -111*h - 114*h for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1070188991 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 224647881 to the nearest integer?\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -12*u + 294. Let t be f(26). Let h be 11\/99*t\/4. Let g = 19 + -36. Is h at least g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*(5*r + 5*r - r) + (-12*r + 16*r - 31*r)*(0 + 1 - 3) + 2*r + 0*r - 3*r.\nAnswer: 35*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 - 61*u - 53. Determine z(-31).\nAnswer: 877","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 8*h**2 + 264*h + 230. What is k(-39)?\nAnswer: 2102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(24\/6)\/(-40)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 864 = 5*w. Let k(o) = -o**2 - 12*o - 14. Let v be k(-10). Suppose -4*p - w = -v*p. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -759 + 760. Which is the closest to 3? (a) q (b) 0.08 (c) 0 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m. Let d(f) = -2. Let q(v) = -v - 9. Let w(t) = 9*d(t) - 2*q(t). Determine w(r(s)).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = y - 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -109 at most -1401?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2046 + 1969 = 11*k for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 11:26 PM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 281 divide 153698289?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/9, -60\/43, -4?\nAnswer: -60\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27245649?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2121, -5, -110 in descending order.\nAnswer: -5, -110, -2121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 66560483 equal to 66560491?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/21*-7)\/((-14)\/186). Which is bigger: -4 or k?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -4*x**2 + 0*x**2 + 2*x**2. Let k(i) = 2*i**2 - 46 + 46. Calculate t(k(m)).\nAnswer: -8*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 3*n - 472 - 4*n + 476. Give u(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 167 + -161. Calculate the least common multiple of b and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6301, -6488, -6675, -6862?\n\"Answer: -187*r - 6114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 13*z. Let j(o) = 9*o. What is g(j(k))?\nAnswer: 117*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3335808 divided by 93?\nAnswer: 1111936\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5 + 0)\/(-10) - 161\/2. Let o be (i\/(-5) - (0 - 0)) + 2. Solve 0 = -2*w - 4*x - o, -4 = -4*x - 20 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -390 + 392. Put l, 45, -5, -1 in decreasing order.\nAnswer: 45, l, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3137383 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -314 + 1415?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + 23047\nAnswer: 23046.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.02 - -0.09. Let j = f - 0.07. Put -2, j, -4 in decreasing order.\nAnswer: j, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + j)*(-3 + 0 + 4) + (2*j - j - 3*j)*(4 - 2 - 3) + 11*j + 4 - 4 + j + 4*j - 4*j.\nAnswer: 15*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 30\/8*(-8)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-1))\/(s*s*s\/(s\/(s**(-5)*s))*s))**(-13) assuming s is positive.\nAnswer: s**(-39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 264 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 80 and 128.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -8. List the prime factors of 22\/2 + (-2)\/p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 3.2, 0.4, -1.8, 0.9, 0.11?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000060257907 rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -6*r - 5. Let y(x) = 1097*x**2. What is q(y(c))?\nAnswer: -6582*c**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 32, -117, -520, -1303, -2592, -4513?\n\"Answer: -21*c**3 - c**2 + c + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 491650168 to the nearest integer?\nAnswer: 22173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 19? (a) 4\/3 (b) 59 (c) 1\/3 (d) -0.4 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2\/7, -5.9, -5 in decreasing order.\nAnswer: 5, -2\/7, -5, -5.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i - i - 3*i)*(-5 + 3 + 4)*(13272 + 110*i**2 - 13272)*(-2*i + i**2 + 2*i)*(1 - 6 + 4).\nAnswer: 220*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 3*p - 83, -48 - 14 = 4*o + 2*p. Let z be (-4)\/o*(2 + 3 + -4). Let t = -4.1 - -3.8. What is the second biggest value in t, z, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 15. Let u = -15 + 19. Calculate the remainder when d is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1824 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 - (56 + -76 - -21).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -309075*j**2 - 217156*j.\nAnswer: -618150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 52\/737 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 + 33. Let z be ((-1540)\/(-30))\/(2 - 17\/9). Suppose -2*a = a - z. What is the highest common factor of u and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 12:07 AM?\nAnswer: 9:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 14*v**3 - 2*v + 2. Let k(t) = -16*t + 32*t**3 + 8 + 3 + 5*t + 0 + 39*t**3. Give -11*j(s) + 2*k(s).\nAnswer: -12*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13104917 - 169665.\nAnswer: -13274582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -11*t - 23. Let b(k) = -5*k - 10. Let p(d) = 9*b(d) - 4*y(d). Let f = -4 - -6. What is p(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 2)*-1 - (-18)\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 7*y**2 - 42*y + 332. Give z(7).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10 and -5190?\nAnswer: -51900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 61016?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0212539l in millilitres?\nAnswer: 21.2539","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of 0*s + 1\/240*s**5 + 0 - 1\/96*s**4 - 3*s**2 - 1\/12*s**3. Factor o(k).\nAnswer: (k - 2)*(k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 50866 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 7:37 PM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 1, -0.05, -0.5, 0.01?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*d**5 + 105*d**4 + 100*d**3 - 400*d**2 + 320*d - 80 = 0 for d.\nAnswer: -2, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/2)\/(135\/60). Is 14 less than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 + -2. Suppose -5*t - y = -12. Suppose 13*s - 25 = 40. Put 4, s, t in descending order.\nAnswer: s, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*n = 40*n + 32*n - 8*n - 5763 for n.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -38544 + 38940. Solve t*o = 392*o + 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2079707292.\nAnswer: 2, 3, 13, 31, 71, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 34*q - 105. Calculate h(5).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 28 and 0.0447 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1175 by 5.\nAnswer: -235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*o, -r + 1 = o - 6. Let k be r\/(-30) + 1\/5. Suppose 2*g - 8*z = -3*z + 5, 2*g + 3*z + 3 = k. Solve g*w - 3*w + 3 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 - 1 + 1)*(-21 + 13 - 13*j + 12*j) + (4*j + 0*j - j)*(-2 + 4 + 0))*(3 - 3 - 10) to the form z*j + p and give p.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*x = -2*m - 26, 5*x - 14640*m + 39 = -14643*m for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22775465*o**2 - 25907816*o.\nAnswer: -45550930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/6 + 13*l**2 + 53*l\/2 + 40\/3.\nAnswer: -(l - 80)*(l + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 157*l. Let c(f) = -11353*f**2. Determine z(c(x)).\nAnswer: -1782421*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1121001102020 (base 3) to base 13\nAnswer: 238929","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + p + 4 = 0. Let w(n) = n**2 - n. Let x(i) = -2*i**2 + 2*i. Let h(f) = p*x(f) + 9*w(f). Solve h(u) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 + 0)*(2*d - 2 + 2) + (1 + 1 + 0)*(6*d - 2*d - 3*d).\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n - 1. Let f be p(1). Suppose -y - 4*d = -41, f = -4*d - d + 10. What are the prime factors of y?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 14 + -22 - 6) + 19.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/8 (b) 4\/17 (c) -0.3 (d) -2\/193\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1284\/(-180) - (-1 + -6). What is the fourth smallest value in -3, 0.5, -1\/7, -145, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -295240 divided by 22\nAnswer: -13420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 733441589 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2*i + 5 = -2*j, -j - 2*i = -1. Suppose -2*u + 9380 = -4*q, 14115 = j*u - 3*q + 6*q. What is u rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -2879?\nAnswer: 1439.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 196*b + 193*b = 38, -2*b + 48 = 3*t. Calculate the greatest common factor of 2935 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -213283426, -426566857, -639850290, -853133725?\n\"Answer: -b**2 - 213283428*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 198742 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-2 + (sqrt(242)*1 + 1 - (-2*sqrt(242) + 3)) + 2*4*sqrt(242)*2))**2.\nAnswer: -41800*sqrt(2) + 2184450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13a (base 11) in base 12?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-13)\/(-39))\/((-1)\/(-39)). What is the greatest common factor of p and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40 + -20. Let u = 7 + -5. Let q(b) = b**3 + b**2 - b + 1. Calculate the remainder when z is divided by q(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 divided by 1038?\nAnswer: -26\/519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-12) + (-88)\/288. Which is bigger: v or 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 3*m**2 + 2. Let i(x) = -65*x**2 - 45. Suppose -39*p - 336 = 45*p. Determine p*i(n) - 90*f(n).\nAnswer: -10*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, k: 7, e: 4}. 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: What is the second derivative of -6*f**5 + 398*f**2 + 92466*f?\nAnswer: -120*f**3 + 796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tzz when three letters picked without replacement from {z: 5, t: 9}?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19035 divided by -423.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2136, -377, 1384, 3147, 4912?\nAnswer: 6679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 20 = -551*i + 555*i, -i - 13 = -4*z for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 - -69. Let p = u - 35. Let r be 42\/(-8) + 2\/p. Sort -2, 12, -4, r in decreasing order.\nAnswer: 12, -2, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 5 = -3*x. Suppose -3*g = -h - 3*h + 2, 4*g = x*h - 1. Find the second derivative of -2*m**3 - g*m + 7 - 7 + 5*m**3 wrt m.\nAnswer: 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/150)\/((-2)\/(-5))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f**2 - 5*f + 13. Let y be a(5). Suppose -67*l - 436 = -y*l. Is -109 equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-6)\/30) - -6 - 43\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -272*t - 427 + 1243 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 0.2 (b) 0.5 (c) 3575\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 6:23 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a*a\/(a**(-6\/11)*a)*a))\/(a*a**(-1)))\/((a*a*a*a\/a**(-2\/17))\/a**(-7\/3)))**(-2\/73) assuming a is positive.\nAnswer: a**(8972\/40953)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -766309346 divided by 22.\nAnswer: -34832243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 - 11*v + 14. Let w be t(-12). Suppose 18 = 2*j + w*j - 2*g, 4*j - 6 = -2*g. Solve -16 = 4*p + j*r, -r - 1 = -5*p - 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27819?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 13. Suppose 3*o - q = -0*o. Suppose o*s - 4 = s. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 AM and 1:02 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**14)**36\/(f**(-11)*f*f**(9\/4)))**2 assuming f is positive.\nAnswer: f**(2047\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 0.26\nAnswer: -0.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 p when four letters picked without replacement from sspsppsspssp.\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 220 divide 10340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1014 is divided by 628?\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 598512088 a multiple of 2107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i - 4*m - 19, 6*m - 4 = -3*i + m for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 25*u**3 - 446*u**2 - 74*u + 16. Give z(18).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2.2894 and -0.01.\nAnswer: -2.2994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58 by 17010.\nAnswer: -29\/8505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 50 + 1*0\/(-1). What is the remainder when ((-540)\/o)\/(2\/(-5)) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 6*u**2 + 6*u - 2. Let w(n) = n**2 + n. Let k = -76 + 68. Calculate k*w(f) + i(f).\nAnswer: -2*f**2 - 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -917 - 811 = -24*b. Calculate the remainder when b is divided by 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-2 + sqrt(637)))**2 - (4 + ((-3*sqrt(117))\/sqrt(9) - sqrt(13))).\nAnswer: -108*sqrt(13) + 2560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 37 = -7. Suppose -5*r + 146 = 4*n, 3*r + o = n + 135. What is the lowest common multiple of r and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) - (sqrt(102)*-3 + sqrt(102) - sqrt(102)))*6)\/(sqrt(6) + (sqrt(66)*-3)\/sqrt(11)).\nAnswer: -12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 11582, 23035, 34364, 45569, 56650, 67607, 78440?\n\"Answer: -62*l**2 + 11639*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 9, j: 9}. What is prob of picking 2 j?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 3*n, -2*w + n + 4 = 0. Let g(u) be the first derivative of w - 1\/12*u**3 - 1\/8*u**2 + 0*u. Factor g(j).\nAnswer: -j*(j + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*n**2 - 35*n**2 + 9*n**5 - 84*n**5 wrt n?\nAnswer: -4500*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28 by -7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3 (b) -2\/9 (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, 0, -0.14?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 226 in -3\/7, 9\/7, -6?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*v**6 + v**2 + 0*v**2 + 4*v**6 wrt v.\nAnswer: -1080*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 o when four letters picked without replacement from rrrrgorgrrrgrrgrg.\nAnswer: 33\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of o**5\/60 - o**4\/12 + 5*o**3\/6 - 29*o**2. Let n be c(10). What is the greatest common divisor of 10 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -65*b**2 - 120*b + 38. Let v be y(-10). Which is smaller: v or -5263?\nAnswer: -5263","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -332 - -364. What is the least common multiple of 26 and x?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide (61706\/(-4) - 1)\/(1391\/(-52) + 26)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 3*l + 4652 + 2039, j - 3*l = 3341. What is j rounded to the nearest one hundred?\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 25. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 10*y**2 + 27*y - 6. Let k be l(12). Let b(h) = k*h + 33*h - 1 - 4 - 54*h. List the prime factors of b(7).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/125 in 4, -95, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 3*a**3\/7 - 297459*a**2\/7 - 2974863*a\/7 - 2677401\/7 = 0?\nAnswer: -9, -1, 99163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 + -11.97.\nAnswer: -7.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - (12 + 2 + -6). Let s(y) = 4*y - 2. Let j(a) = 3*a - 2. Calculate x*s(c) + 6*j(c).\nAnswer: -2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 2 + -4 + -2 + 12 + -40 + 7\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/7 and 53\/29572.\nAnswer: 207004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14871 is divided by 11243.\nAnswer: 3628","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 + (-78)\/9 - 17\/(-3))\/(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 6*u + 5. Let s(n) = -18*n - 14. What is 6*s(d) + 19*t(d)?\nAnswer: 6*d + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 2*s. Let r(m) = -6*m - 3 + 4 + s. What is the units digit of r(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 74461?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -610 - -1103. Is h a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d**3 - 123*d**2 - 176*d - 382. Determine y(-60).\nAnswer: -622","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 8 = -3*v. Let s = 0 - 5. Suppose 5*b + 0*j - j = 19, 12 = -3*j. Put s, v, b in decreasing order.\nAnswer: b, v, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -19?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 times 68.06\nAnswer: -1.3612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*l + 19566 = 19452 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -61*u**3 + 7*u**2 + 7*u + 1. Is v(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10233\/(-92097))\/((-3*(-6)\/63)\/(4\/(-2))).\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 48 = -3*n. Let d be (46\/1)\/(-3 + 5). Let s = n + d. What is the remainder when 13 is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 - 2*y**2 - 4*y. Let d(n) = -n**3 - 12*n**2 + 29*n - 69. Let a be d(-15). Suppose 15*v = a - 231. What is b(v)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3*f = 0. Suppose -3 = 3*u - f*u, -5*z + 443 = 2*u. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11570536891 + 3.\nAnswer: 11570536894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 122316?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -4*s + 60, 73*s + 2*m = 78*s - 60. Suppose 4*t + 331 = 883. Let d be (-6 + s)*34\/t - 1. Is d less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 917.462 micrograms to tonnes.\nAnswer: 0.000000000917462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9161\/2 + -4580. Let v(h) be the second derivative of d*h**2 + 0 + 1\/5*h**3 + 1\/60*h**4 + 2*h. Factor v(n).\nAnswer: (n + 1)*(n + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 8*h**4 + 6*h**3 - 2*h**2 - 4*h. Suppose -2*y = -2 + 8. Let v be (y - 1)\/(1\/1). Let p(b) = -b. Let i(f) = v*p(f) + u(f). Factor i(a).\nAnswer: 2*a**2*(a + 1)*(4*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49212497?\nAnswer: 79, 622943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 251*p + 6383. What is o(-21)?\nAnswer: 1112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1455 divided by 63\nAnswer: 485\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14 + -3101342?\nAnswer: -3101323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 take away 49449?\nAnswer: -49455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -117526, 3, -5, 5, 29 in decreasing order.\nAnswer: 29, 5, 3, -5, -117526","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1448 + -1427. Calculate the highest common divisor of 1323 and r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u - 41. Let h be j(39). What are the prime factors of (-10)\/(h\/14952) - 5?\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 33*f - 1. Let n be 2*(4 - (1 - 0)). Suppose n = 2*a - 12. What is the remainder when b(1) is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3278314 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + 0. Let y = 3.3 + -3. Let x be 4\/8 + 7\/(-6). Which is the third biggest value? (a) y (b) f (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -i + 11, -7*i + 4*j + 16 = -5*i. Find the second derivative of 16*h**4 - 8*h**4 - h - i*h wrt h.\nAnswer: 96*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*j**4*m + 30*j*m - 271*m - 3 wrt j.\nAnswer: -8*j**3*m + 30*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {l: 2, z: 6}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6315038?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*((-3)\/4 + (-13)\/52)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 5 = 1. Let s(h) = 16*h - 5*h - 3*h + 7 - 4. Determine s(z).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2114005897.3 and 0.2?\nAnswer: 2114005897.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of -1\/4*i**4 - 2 + 9*i**2 + 0*i**3 + 0*i. What is the second derivative of w(s) wrt s?\nAnswer: -6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.362317 * 3\nAnswer: -7.086951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 187.678188 nanoseconds in days?\nAnswer: 0.00000000000217220125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1, 0.39, -0.2, -61, -94, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -105 - -101. Let x = 243 + -242.8. What is the nearest to 5 in -0.3, x, l?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/6 + (-8)\/3. Let x = l - 1. Let s = x + 8. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13328 is divided by 208.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(2\/23)*s))\/s**(-13) assuming s is positive.\nAnswer: s**(297\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 33*n**3 - 2*n**2 + 2*n + 1. Let a(u) = 34*u**3 - 3*u**2 + 3*u + 1. Let f(z) = -3*a(z) + 4*i(z). Is f(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 989.1 - 1044. Let q = 55 + w. Let u = 0.3 + 0. Put q, u, -2 in descending order.\nAnswer: u, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -5*v + 117, 3*v + 22 = 4*o + 95. Calculate the remainder when v is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(6\/(-10)))\/(((-84)\/35)\/(-12))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c. Let z be x(-4). Solve 4*s + 32 = 5*n, -3*s = -z*s + 4*n - 19 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -801 + 790. Is -3 bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express b**3 - b**3 + 6*b**3 + (0*b**3 - 2*b**3 + 4*b**3)*(-1 + 4 - 2) in the form z*b + w + g*b**2 + r*b**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**2 + 0 + 0)*(93*r**2 - 93*r**2 - 5*r**3).\nAnswer: 15*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 2325\/962248?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2402.2 - 2402. Which is the smallest value? (a) 2\/13 (b) -0.103 (c) r (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12*(-2)\/(-3) + -2. Suppose -i = r - 19, 3*r = 3*i + r - 72. Suppose y + 3*y = 4, 4*n + 2*y - i = 0. Which is smaller: z or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - 28?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -3470a2?\nAnswer: 3470a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2500) + (sqrt(2500) + (sqrt(2500) - -2*sqrt(2500)*-5 - sqrt(2500)) + sqrt(2500) - sqrt(2500) - sqrt(2500)) - sqrt(2500))\/(1*sqrt(245)*1).\nAnswer: -100*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + -1 - 4) + 15 + -10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6111.766 centimeters?\nAnswer: 61117660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 + 10*w + 4. Let h be g(6). What is the highest common divisor of 56 and h?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14492?\nAnswer: 2, 3623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 2:34 AM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 2080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (20\/(-12))\/(((-29820)\/72)\/71). Let j = 0.07 + -0.01. Which is the nearest to t? (a) j (b) -0.1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 1111110101?\nAnswer: -1111110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6807.\nAnswer: 3, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -7. Suppose l*w - 5*w = 5. Solve 2 = w*r - 5*p + 7, -24 = 4*r + p for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 746864 divided by -373432.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of -k**5\/60 + k**3\/3 - 20. Let j(l) be the third derivative of p(l). Let m(i) = i**2 - 11*i. Determine j(m(f)).\nAnswer: -2*f**2 + 22*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 4246 = 3*o - 1439, o + 4193 = 3*x. Suppose 2*s + 4*b - 880 = -172, -4*s + 2*b = -x. Is 36 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxxxmxxxmxmx. What is prob of picking 1 x and 2 m?\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3.6, 0.2, 3, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**2 + 88012*a + 264000.\nAnswer: 4*(a + 3)*(a + 22000)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of -5\/2*r**3 + 0*r**4 + 0*r**5 + 0 + 0*r + 7*r**2 - 1\/60*r**6. What is the derivative of m(b) wrt b?\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12285 and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g - g - 10*g)*(7*g**3 - 16*g**3 + 7*g**3) + 3*g**4 + 7*g**4 - 3*g**4.\nAnswer: 39*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3 + 157257*d**2 - 6134404*d + 22021440.\nAnswer: (d - 35)*(d - 4)*(d + 157296)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5734 divided by 127\nAnswer: -5734\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 3*f**3 + 11*f**2 - 3*f - 21. Let k(l) = 5*l**3 + 17*l**2 - 5*l - 31. Let q(p) = -5*k(p) + 7*t(p). Factor q(s).\nAnswer: -4*(s - 1)*(s + 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 188391.\nAnswer: 3, 7, 8971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -729, -1434, -2159, -2910, -3693, -4514?\n\"Answer: -h**3 - 4*h**2 - 686*h - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 66 = 5*v, 0 = 4*b - 3*b + 3*v - 55. Suppose -l + 5*z - 295 = 4*l, -l = 3*z + b. Let h = 58 + l. Solve 0 = -h*j - j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8193911.3 rounded to the nearest 10000?\nAnswer: 8190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-7)*l*l**5*(l**(-2)*l)**(-25) assuming l is positive.\nAnswer: l**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**4 - 2*l**4 - 9 - 2 - 2*l**3 + 4*l + 3*l**2 + 7 = 0 for l.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-21)\/28 + (-206)\/24. Let s be (20\/(-5))\/(24\/(-15) - -2). Which is greater: f or s?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -2*q + 25. Calculate the remainder when 2 - (-24)\/(3 + -1) is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -1, -4, 2\/159, 17 in descending order.\nAnswer: 17, 2\/159, -2\/7, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.97302 millimeters in centimeters?\nAnswer: 0.697302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 3:02 PM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -17364 times 0.064?\nAnswer: -1111.296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {m: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2067?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 6634, 13268, 19902?\n\"Answer: 6634*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3048 - -2256.5. What is p rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67749, -272321, -613275, -1090611, -1704329, -2454429?\nAnswer: -3340911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 9:34 PM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/3 - 17*i**2\/3 - 209*i\/3 + 75.\nAnswer: (i - 25)*(i - 1)*(i + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*m, 3*p + 0*m = m + 52. Suppose -4*a = v + 12, 4*v - 4*a - 36 = -4. What is the remainder when p is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x**3 + 6*x**2 + 5*x - 38. Let o(t) = -3 + 2*t**2 + 3*t + 594*t**3 - 602*t**3 + 5. Let m be o(-1). Let v be q(m). Round v to the nearest 100.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 115853*f**3 - 103*f**2 - 34*f - 262284 wrt f.\nAnswer: 695118*f - 206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12834 - -16607. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u*u\/((u\/(u*(u*u**(2\/5)\/u*u)\/u))\/u)*u\/((u\/(u*u**(-7\/2)\/u))\/u*u)*((u**(4\/5)\/u)\/u*u)\/(u\/(u*u\/(u\/u**(1\/3)))) assuming u is positive.\nAnswer: u**(31\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 3*l - k + 37, 3*l = -5*k - 23. Let x = l + 16. Solve -1 - x = -2*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 11. Calculate the greatest common factor of 6 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 661*h**2 - 2*h - 1. Let v be c(-1). Let u be (-3)\/((6\/32)\/(3\/12)). Is (3 + -5)\/(u\/v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 PM and 11:50 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 2.11?\nAnswer: -8.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 8 = -o. Suppose -5*j + o*j + 30 = 0. Is (-1)\/((j\/2785)\/3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 993899\nAnswer: -993903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 274456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -10 - (11 + (8 - 117239)). What is k rounded to the nearest ten thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of 49*o**6\/120 - 7*o**5\/15 + o**4\/6 + 25*o**2\/2 - 149*o. Let t(z) be the first derivative of f(z). Factor t(g).\nAnswer: g*(7*g - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 - q. Let c(j) = 5*j**3 - 11*j**2 - 6. Let k(x) = -c(x) - 6*f(x). Let u(m) = -4*m**3 + 4*m**2 + 5*m + 5. Calculate -5*k(o) + 6*u(o).\nAnswer: o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1333 - -1201000?\nAnswer: 1202333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 3*x = 2*x - 177, -114 = -2*p + 2*x. Let k be (-2 - p\/(-54))*3\/12. Which is the third biggest value? (a) -0.3 (b) 0.24 (c) -1\/2 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/5)\/r)**31\/(r*r**(1\/5)*r**(7\/4)) assuming r is positive.\nAnswer: r**(-803\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -906093\/5 - -181835. Let s = 609 - g. Which is greater: -7 or s?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of u**10\/7560 - u**7\/504 + u**4\/3 + 7*u. Let k(o) be the third derivative of d(o). Find the third derivative of k(g) wrt g.\nAnswer: 240*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7655 and 59165?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**2 + 315558*x = 0. Calculate x.\nAnswer: -157779, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/9*3 + -1. Let l = 8687.5 + -8688. What is the nearest to 3 in l, c, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**3 - 584*f**2 + 6512*f - 10720.\nAnswer: 4*(f - 134)*(f - 10)*(f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -4*y**4 - 508*y**3 + 15716*y**2 - 29892*y + 14688 = 0.\nAnswer: -153, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -2\/5, -13408, 35?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 24*q - 2. What is the remainder when r(2) is divided by ((-48)\/(-10))\/(6\/20)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2*z = -3*d - 24, -2*d - 16 = z. Let i(m) = -9*m - 18. Let y be i(d). Let s = y - 40. Is s a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22*a**4 - 738*a**3 + 29*a**2 + 2*a - 114?\nAnswer: 528*a - 4428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 41090 (base 10) to base 4\nAnswer: 22002002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 59137710.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {w: 7, k: 2, y: 2, r: 1, a: 4}?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 b when two letters picked without replacement from {b: 1, x: 2, f: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -286759*d + 257611 wrt d?\nAnswer: -286759","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2564\/73 smaller than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*d**4 - 3 + 3)*(-184 + 184 + 16*d)*(1 + 1 - 4).\nAnswer: 544*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -2998\/17519?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*h + 1924 = -3*h. Solve -17*y + h = -11 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/((-1)\/1 - -2). Let b(m) be the first derivative of 58*m**3\/3 - m**2 - 7*m - 209. Is b(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -c**3*d**2 - 2072*c**2*d**3 + 3*d**3 + d**2 + 47 wrt c.\nAnswer: -3*c**2*d**2 - 4144*c*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0436 - -0.0936. Let t = -4.2 - -6.2. Sort 0, 0.4, v, t in descending order.\nAnswer: t, 0.4, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 18 + 2 + 6 + 0 - 898*r**2 as h*r**2 + f*r + o and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/5 of a meter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 o when three letters picked without replacement from uoooopxoyoyoooxoyyu.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q**2 + 2*q**2 + q**2 - 2*q**2.\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 32 = 4*d, 2*g - 7*g = 0. Let v be (-6)\/d - 54\/(-8). Suppose v*t - 2445 = 189. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/100 and -4\/145?\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 87179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.1 + -4.1. Which is the nearest to q? (a) -2\/5 (b) 1\/5 (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9020786*i*w**4 - 5299007*i wrt w?\nAnswer: 36083144*i*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1282046 divided by -641023?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 3*g + 4 = -l, 5*g = -5*l + 40. Suppose -3*b + 4 = 2*j, -j = 5*b + 4*j - 10. Find the third derivative of b*q**4 - 4*q**2 + q**l + 5*q**2 wrt q.\nAnswer: 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 1\/5 (b) -0.16 (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/8 of a millennium?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29584 - 16823. Round p to the nearest one hundred.\nAnswer: 12800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/5072 and 43\/213024.\nAnswer: 213024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (106\/530 + 7\/(-10))*-22.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47086 times 0.3?\nAnswer: -14125.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 21 = -5*d, 28*d + 4 = -p + 29*d. Sort 28, p, 4.\nAnswer: p, 4, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3*y = -4*y - 16, 3*y = 4*w - 63. Calculate the greatest common factor of 120 and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11444369\/2880 + -19869\/5. Find the common denominator of v and -25\/84.\nAnswer: 4032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 560 = w. Let g be 3 + w\/(-24) + (-38)\/(-6). Solve -7 = -3*h - b, 2*b - 12 = -g*h + h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 10*j**2 + 44*j - 5. Let r be v(13). What is the greatest common divisor of r and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.3 (b) 2\/47 (c) 4 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - 25*s**2 + 22*s + 54. Let l be z(24). Solve -2*k + l = -2*y, 3*k + 2*y = 5 + 9 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/5, 4, -6, 302?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 509359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 33?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44 + 64 - (130 - 80).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - -21. Suppose 0*r + 2*r - t = 4*n, -5*r = 5*n + 5. Does 4 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -40*p**3 + 3*p**2 + p + 3. Let a(w) = -w**2 - 1. Let r(i) = -3*a(i) - z(i). Let t be r(-1). Let o be 18\/5 + t\/65. Solve -v = -0*v - o for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 131 = -29. Suppose 2 + 2 = 2*p, 50 = 4*j + 3*p. What is the remainder when x is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -203678, -407332, -610984, -814634, -1018282?\nAnswer: -1221928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of 469*z**6\/10 - 253*z**3\/2 + 852*z. Find the second derivative of u(s) wrt s.\nAnswer: 16884*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 11) to base 8\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/34 + (-1892)\/(-187). Solve 6*d + 5 = 3*i + 2*d, -3*i + d = v for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1039*g**3*w**2 - 1734*g**3*w - 3*g*w**4 - g*w wrt w?\nAnswer: -2078*g**3 - 36*g*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6837, 2, 5, 0, -3, -5 in descending order.\nAnswer: 5, 2, 0, -3, -5, -6837","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 21*j. Let w(g) = 11*g. Determine -4*n(q) + 7*w(q).\nAnswer: -7*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, 1, 3, 8, 12 in ascending order.\nAnswer: 1, 3, 8, 12, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 5*t + 2. Let l be (-280)\/231 - 48\/(-88). What is the closest to -2 in -0.4, l, t?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 = -2*q - 182. Let j = 298 + q. Does 13 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 37*l**2 + 2*l - 2. Let n(m) = -m**2 + m - 1. Calculate i(a) - 2*n(a).\nAnswer: 39*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -2 + (1*sqrt(252) - sqrt(252))**2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6246?\nAnswer: 2, 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 67 divided by -2\nAnswer: -67\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 (base 10) in base 13?\nAnswer: ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-2 + -13 + -3 - (-19 + 16))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -66.47 + 68.47. What is the third biggest value in 3, p, 1, -4\/9, -33\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 4, 202*o - 200*o + 2 = 2*g. Let m(p) be the second derivative of 38*p - 1\/14*p**3 + 0*p**2 + g + 1\/28*p**4. Factor m(n).\nAnswer: 3*n*(n - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -11485 and -8242 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by 138\nAnswer: -11\/138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7 + 6)\/(2\/(-8)*2). Suppose 2*m - 14 = -c. Solve 0 = -m*q + 2*q - 16 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -634 - 641 + a**2 + 1387. Let x(v) = -1 + 1 - 7*v**2. What is x(p(h))?\nAnswer: -28*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2592)*2)\/(sqrt(576) + sqrt(576)*-2*-6 - sqrt(576)).\nAnswer: sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*i = -3*j + 782, -5*i = 5*j - 955. What are the prime factors of j?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -9*y + 2. Let r(k) = 143*k - 19. Give 9*o(g) + r(g).\nAnswer: 62*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 212120831 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 14. Let k = -11 + n. Sort 0, k, 2 in decreasing order.\nAnswer: 2, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*i - 3*o + 3, 3*o - 6 = 5*i. Solve i = -5*q + 8 - 33 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100101110110001 + -101?\nAnswer: -11100101110110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-5 - -15)*904\/16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + m + m + 836, 1045 = 5*v - 4*m. Calculate the greatest common divisor of 11 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 308704028887 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1240734721?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 47 = -3*b, 5*b + 16*z = 13*z + 77. Calculate the highest common divisor of b and 15600.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -446\nAnswer: -1\/446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do -259\/5 and -53 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t**4\/4 + 10474*t**3 + 219304587*t**2\/2 - 1097308610*t + 10975705225\/4 = 0. Calculate t.\nAnswer: -20953, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -153, -557, -1231, -2175?\n\"Answer: -135*x**2 + x - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 3*g - 8, 3*w - 38 = 3*g - 32. Solve -1\/3*i**3 + 0 - 2\/3*i**w + 1\/3*i**4 + 0*i = 0 for i.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2223\/(-6))\/13)\/(84\/56).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h\/(h*h*h\/h**(-16)*h*h)*h)*(h**2*h)\/h)**(-1\/12)\/((h**6*h**(-8))\/((h*h**(-5)\/h*h)\/h*h**(1\/3))) assuming h is positive.\nAnswer: h**(-55\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 30 - 220?\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 764087.6 decades?\nAnswer: 7640876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) 263 (c) 2697 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 less than 1.54754?\nAnswer: -88.45246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28817 + 28840. Solve 7*z = -16*z - u for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 52 - 21?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1693 = -u + 4*k, 4*u - 116*k - 6707 = -113*k. What is the thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2. Let t(z) = -10739475*z. Calculate c(t(m)).\nAnswer: 115336323275625*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (50\/30*-12)\/((-3)\/(-24)). Let p = -699 - -1040. Let s = p + z. What are the prime factors of s?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2718888247?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + -39a647?\nAnswer: -39a649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -4*a**3 + 5*a**2 - 2*a. Let y(k) = -7*k**3 + 9*k**2 - 4*k. What is -5*h(u) + 3*y(u)?\nAnswer: -u**3 + 2*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.01 - 0.03. Let c = i + -0.98. Let j be (2\/(-16))\/((-2)\/4). Which is bigger: j or c?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a microgram in nanograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4367 is divided by 421?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 162666, 162629, 162592, 162555, 162518, 162481?\n\"Answer: -37*a + 162703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/(1*sqrt(128)).\nAnswer: sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2038291 is divided by 282.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -32*s. Let r(t) = -15*t. Calculate d(r(c)).\nAnswer: 480*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -4*t - 4. Let h be l(-4). Suppose 0 = -3*g - g + h. Solve -3*z + 2*v = -5, -3*z - 17 = 2*z + g*v for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 493 a factor of 260297591?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1776.106 litres in millilitres?\nAnswer: 1776106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-40)\/70 - 1040\/(-56). Solve 0 = 3*m - 4*w + 23, -q = 4*m - w + 2*w for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 + -6. Suppose 0 = 3*r - 45 - m. What is the first derivative of -1 - r*w + 4*w**3 - w**3 + 21*w wrt w?\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.435619ml to litres.\nAnswer: 0.000435619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p*p**(-2\/9)))\/(p*p*p\/(p\/((p\/p**(4\/11)*p)\/p))*p)*p*p**(-3\/2)*p*p**(-2\/15)*p assuming p is positive.\nAnswer: p**(-3017\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 38341507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8627 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -10981, -11355, -11729?\n\"Answer: -374*c - 10607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s. Let x(b) = 2*b + 8. What is w(x(v))?\nAnswer: 2*v + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 21 - -18?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of 5*g**3\/6 - 2*g. Let k(t) = t + 1. Let x(p) = -3. Let q(i) = 3*k(i) + x(i). Give h(q(l)).\nAnswer: 15*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 56985 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 h when two letters picked without replacement from jjhhzjzhhzhjh.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 1:35 AM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -9. Suppose 17*z - 3*i + 89 = 21*z, 37 = 2*z - i. What is the remainder when z is divided by 43\/l + (-2)\/(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -144856.\nAnswer: 43456.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - 6*j**2 - 2*j - 8. Let d be z(-6). Let q = 375 - 2999\/8. What is the closest to -0.01 in q, -2, d?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 1:59 AM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3018, 3114, 3240, 3396, 3582, 3798?\nAnswer: 4044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1))**(-3\/28)*a**6\/a*a**(-2))\/((a\/(a\/(a**(2\/5)\/a)))**(3\/7))**(-5\/3) assuming a is positive.\nAnswer: a**(75\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18678 and 121.\nAnswer: 205458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*y**2\/11 + 499404*y\/11 + 10391848134\/11.\nAnswer: 6*(y + 41617)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 493987 is divided by 1199?\nAnswer: 1198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**2 - 5*i**2 + 8 - 6 + (-26 + 52 + 46)*(i**2 + i**2 + 0*i**2) in the form m*i + q*i**2 + h and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -2. Let q be -24 + (0\/(-3) - o). Let d = -13 - q. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -589718.9692 to the nearest one thousand.\nAnswer: -590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -3*g. Let n(w) = -w**3 + w**2 + w - 5. Let i be n(g). Let y = 0.07 + 0.03. Which is the closest to y? (a) 5 (b) -0.5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 874402*u**5 + 12230661*u?\nAnswer: 17488040*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 360 and 920?\nAnswer: 8280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 7:11 AM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64 and 160504.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3*f**2 + 253 - 124 - 8*f**3 - 132 - 3*f. Let z(i) = -16*i**3 + 5*i**2 - 5*i - 5. What is -5*m(w) + 3*z(w)?\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 920 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, y: 1, f: 3, u: 2}. Give prob of picking 2 u.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(3\/7)\/h**(1\/2))\/((h\/(h**(2\/21)\/h))\/h**7))\/((h*(h*h**0)\/h)**(-20\/7)*(h\/(h**1*h)*h)**(-1)) assuming h is positive.\nAnswer: h**(331\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 11:27 AM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -48*a**3 + 21*a**3 + 0 + 1 + 28*a**3 + 22*a - 2*a**2 as i*a**2 + k*a**3 + n*a + d and give n.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z + 16 + 14 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1328622963 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: 407 (base 11) to base 6\nAnswer: 2135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 + 20 - 72*p + 38 - 78.\nAnswer: -72*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -476 or -477?\nAnswer: -477","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80\/(-96)*2*18\/(-20).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(7\/6 + -1). Let k = 125 - 122. What are the prime factors of r\/(-10)*k*80\/18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 4*p**3 + p**2 - 2*p. Let q(i) = -4*i - 61 + i + 4*i + 63. Let b be q(3). Let z(n) = 7*n**3 + 2*n**2 - 4*n. Give b*a(w) - 3*z(w).\nAnswer: -w**3 - w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3421786?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 r when three letters picked without replacement from dqdadrarqfqd?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(-6)*18*1. Let q(k) be the third derivative of -k**4\/24 + 4*k**3\/3 - 2*k**2. Let y be q(5). What is the greatest common divisor of r and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 3 + 48 = 3*v, -3*v + p + 57 = 0. Suppose -2*z + 2334 = -v. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -4*t - 20. Let h be i(-6). Let g(y) = -4*y**2 - y + 1 + y**2 - h*y**2 + 6*y**2. Suppose -s + 0*s + 1 = 0. Calculate g(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -9*a - 6. Let u(s) = -s - 1. Let z(m) = -6*u(m) + v(m). Let j(c) = -107*c + 209*c - 96*c. Determine j(z(y)).\nAnswer: -18*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1070 and 21510.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 1 = -7. Let l(h) = 5*h - 2. Let j(c) = 1 - 13*c + 1 + 7*c. Give n*j(z) + 5*l(z).\nAnswer: z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15714 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 116 and 6641.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -5*c**3 - 2*c**2 + 26*c - 1. Let v(s) = s**3 + s**2 + 2*s. Let q(i) = t(i) + 4*v(i). What is the second derivative of q(a) wrt a?\nAnswer: -6*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 419 divided by 416223\nAnswer: 419\/416223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3523 is divided by 128.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/(-6))\/((-130)\/198 - 150\/(-275)). Sort -2, 5, -8, 4, b in descending order.\nAnswer: 5, 4, -2, b, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 8:10 PM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of 0*o - 16 + 0*o**2 + 2\/27*o**3 + 1\/18*o**4. Let p(w) = 0. What is w?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 13920\/270 + 16\/36. What is the highest common factor of 20 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5469 - 29*a**2 + 27*a**2 + 5469.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 9*z**3 - 185*z**2 - 95*z - 22. Calculate n(21).\nAnswer: -253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -14 divided by -27\nAnswer: 14\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -44 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.165 - 103.835. Let z = -2527.3 - -2650. Let l = z + h. Round l to 0 decimal places.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 3810380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3*u**2 - 2*u. Suppose -212 = 4*i - 3*x, -2*i - 5*x = -i + 76. Let k = -53 - i. Let h(m) = -6*m**2 + 4*m. Give k*h(z) + 5*g(z).\nAnswer: -3*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 2020680558994?\nAnswer: -2020680558996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1217531 is divided by 19020.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.035 and -0.0701?\nAnswer: -0.0024535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 380886802, 761773606, 1142660408, 1523547208, 1904434006, 2285320802, 2666207596?\n\"Answer: -w**2 + 380886807*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - -3*4\/6. Let k = 0.17 + -0.27. Put -4, k, a, 3 in increasing order.\nAnswer: -4, k, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1271.6 + -1111. Let i = -161 + w. Which is the closest to -4? (a) i (b) 2\/7 (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1.25, 1\/6, 2\/9, -23 in increasing order.\nAnswer: -23, -3, 1\/6, 2\/9, 1.25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 183152432 divided by -314\nAnswer: -583288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2047 - -5?\nAnswer: -2042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/23 + 71\/((-200859)\/7298)\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 570\/120 - 15\/3. Let n(r) = r**2 - 7*r + 7. Let b be n(6). Let m be -5*b\/3 - -1. Put i, m, 0.05 in increasing order.\nAnswer: m, i, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -49*r**2 + 240*r + 1. Determine g(5).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5846?\nAnswer: 2, 37, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 198 and 264?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 0.3, 11, -0.04?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 138*c**2 - 7*c + 43. Let m(k) = -25*k**2 + k - 8. Let o(s) = -11*m(s) - 2*q(s). Suppose -3*p = 5*n - 35, 0 = -p + 4*p - 15. Calculate o(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 174, 392, 762, 1290, 1982, 2844?\n\"Answer: f**3 + 70*f**2 + f + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 2 = u, 7*f + 2*u = 6*f - 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/((-3 - -6)\/6). Let z = k + 15. Solve 5*y = 14 + z for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*k, 2*t + 115*k - 113*k = 20446. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2217841, -2217839, -2217837?\nAnswer: -2217835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -3*v + 34. Let b be a(22). Let y = 84 + b. Let l be 76\/13 - (-8)\/y. Solve 3*j - 14 = 4*k, 3*j - 3*k = -l*k for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*v**3 - 33*v**2 - 114*v + 24.\nAnswer: 3*(v - 4)*(v + 2)*(5*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2999887 (base 10) to base 3.\nAnswer: 12122102001221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2036019716 + -820.\nAnswer: -819.7963980284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -125, -3, -4, -5, 3, -83 in ascending order.\nAnswer: -125, -83, -5, -4, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -372 + 205. Let b = p - -172. What is the second smallest value in -1, 3\/5, b, 20?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107519?\nAnswer: 79, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(255)\/(2*sqrt(125) - sqrt(125)))\/(3*sqrt(48)*-1).\nAnswer: -sqrt(17)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by 112.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*2*(-231)\/(-462).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 188261 rounded to the nearest 10000?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10\/219 in -46, 4, -487?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of -7*q**4\/6 - 29*q**3\/6 - 6*q**2. Is d(-15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 728 + -723. Let s(t) be the third derivative of t**5\/60 - 5*t**4\/24 - 4*t**2. Let f be s(g). Solve f = -7*w + 2*w - 20 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 15 + 5. Let s be 4 - i\/(-6)*-3. Let d = -106 - -120. Solve 0 = 4*l + s + d for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1194 or 0.1?\nAnswer: -1194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101 - 683 = -49*r. Solve 11*c - r*c = -15 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of c**4\/24 - 5*c**3\/6 - c**2. Calculate a(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 476 + -4282\/9. What is the closest to -1 in 5, -2\/7, y, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, i: 5, u: 1, k: 5, z: 1, j: 1}. Give prob of picking 2 j.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*d + 2*d. Let z = d + -1. Suppose 0 = -2*p + 5*j - 3 + 131, -5*p - z*j + 289 = 0. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 100 + -119. Are l and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a week in minutes?\nAnswer: 52416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 198.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wqqqwqq. Give prob of picking 2 q.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 6 + 3*d - 2 - 2*d**2. Let x be q(4). Factor 0 + x*i + 2\/9*i**4 - 4\/9*i**5 + 2\/9*i**3 + 0*i**2.\nAnswer: -2*i**3*(i - 1)*(2*i + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fh when two letters picked without replacement from {n: 5, p: 2, f: 1, m: 3, h: 2, a: 7}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -3439 greater than -3439?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -157031, -314074, -471117, -628160?\nAnswer: -785203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Express -16*y - 18*y + 40*y + (154 - 154 - 18*y)*(0 + 5 - 6) - y - y + 0*y as a + b*y and give b.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r - r - 4*r)*(2*r + 4 - 4) - 20*r**2 + 17 - 17.\nAnswer: -22*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, t: 5, y: 3}. Give prob of sequence at.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than -2575129027182?\nAnswer: -2575129027181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -446972924*u. Let w(b) = b. What is v(w(z))?\nAnswer: -446972924*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -7*d**2 + 1. Let n(k) = 6*k**2. Determine n(o(y)).\nAnswer: 294*y**4 - 84*y**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 44*o + 6. Let b = -25 + 24. Let c(j) = -j + 1. Let x(w) = b*i(w) + 3*c(w). Is x(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 620?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 - 65 + 124 = -16*q. What is the third smallest value in q, 2\/5, 0.01, -41?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000291461 to five dps.\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 4.92. Let j = -0.12 + t. What is the biggest value in 5, j, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in -0.4, -4, -0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*t**5 + 196*t**4 - 460*t**3 - 100*t**2.\nAnswer: -4*t**2*(t - 5)**2*(5*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**4\/15 - 59406*h**3 - 891086*h**2\/5 - 2673254*h\/15 - 297028\/5.\nAnswer: -2*(h + 1)**3*(h + 445542)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10176 and 13144?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 585*k + 57 - 307*k - 283*k. Calculate o(7).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4337156 to the nearest integer?\nAnswer: 2083","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000562260917 to 7 decimal places.\nAnswer: 0.0000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2790? (a) -0.05 (b) -0.2 (c) -0.186\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 11:07 AM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 506207?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -523 + 521. Let o be 3 - 42\/6 - 8\/u. Solve o = -3*v + 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j + 2*j**3 + 0*j**2 - j**3 + 0*j**2. Let y(w) = -7*w**3 + w**2 + 5*w + 28. Let i(d) = 6*l(d) + y(d). Is i(0) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + m + 1. Suppose -3*o - 2*g = -23, -6 = -2*o - 2*g + 12. Suppose o*y + 16 - 6 = 0. Let j = y + 1. Calculate t(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 44 = -3*v + i, -v - 18 = 3*i. Let r = v - -19. Let s be (3 + 0)\/((-3)\/(-4)). Solve r*n + t + 12 = 0, t - 2 = 5*n + s for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 AM and 9:09 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -89*l - 5. Let i(k) = k**2 + 223*k + 12. Let w(b) = -2*i(b) - 5*v(b). Let t(d) = -7*d**2 - 3*d + 4. Give 6*t(n) - 22*w(n).\nAnswer: 2*n**2 + 4*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 91780?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 0.093?\nAnswer: -0.093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/6 of a hour?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -8.5. Let x = -0.3 - n. What is the second biggest value in 1\/4, 2, x?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 PM and 12:10 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.5 and -3.3931.\nAnswer: -1.8931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w = 82*d - 86*d - 4*w, -4*w = -2*d + 30 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-724)\/(-1267))\/((-16)\/(-7))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 467996 by -233998.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.965877 - 21.966017. Let d = -21.11 - -0.11. Let k = d - h. Round k to 5 dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 496 - 1266. Let b be (x\/(-11))\/(6 + -4). Solve -9*s = -8 + b for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 30*a**3 + 2*a**2 - 3*a + 162. Let b(s) = -11*s**3 - s**2 + s - 54. Give 8*b(r) + 3*k(r).\nAnswer: 2*r**3 - 2*r**2 - r + 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5393938*3\nAnswer: 16181814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -2. Suppose u + 0*u + 3*a = 13, -5*u + 32 = z*a. Let n(i) = i**2 - i + 4. What is the units digit of n(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -10*b**2 + 10*b - 13. Let j(h) = 5*h**2 - 5*h + 6. Let g = -10 - -16. Let n(x) = g*d(x) + 13*j(x). Find the second derivative of n(v) wrt v.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2144 + -3?\nAnswer: -2147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-15939)\/2898*(9\/44)\/((-15)\/(-80))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 307*n**4 - 817*n.\nAnswer: 3684*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-9) + (-47)\/(-9). Suppose -5*k + 5*u + 155 = 0, -k + 47 = -0*k - a*u. Is k a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 11) in base 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -9*b + 14*b. What is the closest to 2\/7 in 2\/9, -0.4, -5, b?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 229*h - 221*h. Let x(j) = 6*j**2 - 2. Let o(u) = u**2. What is h*x(s) + 3*o(s)?\nAnswer: -3*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 7027, -2 in decreasing order.\nAnswer: 7027, 6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -299723, -1198829, -2697315, -4795181, -7492427?\nAnswer: -10789053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -147? (a) -2\/7 (b) -65 (c) -0.1 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, f: 2, d: 1, e: 1, o: 1, x: 1}. What is prob of sequence wd?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 82.24 + -77. Let v = 0.24 - w. Which is the fourth biggest value? (a) v (b) 5\/6 (c) -3 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 5 - 4)*(-1 + 6 + 1)*(2 - y - 2) in the form d*y + i and give d.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 88 and 1378256.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i = 12*i + 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 233?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-2\/3)*j)\/j)**(-25)*j**(2\/5)\/(j**3\/j*j) assuming j is positive.\nAnswer: j**(-164\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 4*o - 49, -4*o + 4*a - 11 = -55. Suppose v - 19 = o. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -2. Suppose -f = -g - 3. Is g at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 8820576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 41451769 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 50515.\nAnswer: -1\/10103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of 7\/3*n**3 + 13\/2*n**2 - n - 1\/12*n**4 + 0. What are the prime factors of j(13)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 54\/4 + 8\/((-32)\/6). Let a be 28\/6 - x\/18. Let d(b) = 3*b - 9. Let u be d(a). Solve -2*y = -u*y + 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1099, -1535, -1743, -1609, -1019, 141, 1985, 4627?\nAnswer: 8181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -15\/178 (c) 1 (d) -1123\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7387285 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2356.623 rounded to the nearest ten?\nAnswer: -2360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1308*s**5*v - s*v + 1189*v wrt s.\nAnswer: -26160*s**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (3 - (0 - -2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -31 < -135954\/4243?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.34 and 31.41.\nAnswer: -10.6794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-5))\/((-11)\/55)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - 2*b**2 + 351*b - 3. Give g(18).\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 2*f**2\/9 + 574979600*f\/9 + 41325192552020000\/9 = 0.\nAnswer: -143744900","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 213\/8*a**3 - 1833\/4*a**2 - 540*a + 972 - 3\/8*a**4 = 0. What is a?\nAnswer: -2, 1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-70)\/21)\/(2\/(-3)). Let i = 0.1 + 0.1. What is the third biggest value in 4, i, b?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - 11. Let y be (10\/(-60))\/(t + 0). Put y, -3, -2 in decreasing order.\nAnswer: y, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117322.\nAnswer: 2, 58661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -873 - -1083. Calculate the greatest common factor of v and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 5, -8, 2, -15, -194 in decreasing order.\nAnswer: 5, 3, 2, 1, -8, -15, -194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 384 is divided by 327.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(24\/(-3119)) - (-55)\/440. Calculate the greatest common divisor of 20 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 503513 is divided by 12280.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -20344 and -11?\nAnswer: 20333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2726361*u**3\/5 - 10905438*u**2\/5 + 2181084*u + 24\/5.\nAnswer: 3*(u - 2)**2*(908787*u + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/12? (a) 0 (b) 2\/141 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of 0*l**3 + 0 + 0*l**4 + 0*l + 4*l**2 - 1\/30*l**5. Let f(w) = w**2. Give f(s(p)).\nAnswer: 4*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((9720\/(-225))\/(-36))\/(-9)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78593 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 + 2*y**2 + 24*y - 251 + 277. Let b be w(-16). Let j = -101 - b. Calculate the smallest common multiple of 9 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**3 + 3*v**3 + v**3)*(2*v - 4*v + 3*v) + 417*v - 54*v**4 + 2*v**2 - 1 + 422*v - 835*v.\nAnswer: -52*v**4 + 2*v**2 + 4*v - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 - (8 + 18 + -18 - -12).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/((-3564)\/(-160)) + 14\/(-63).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 125.83 - 123.87256. Let n = t + -2.597383. Let f = n - -0.64. Round f to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, n: 9}. Give prob of sequence cc.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -192, -6587, 1, -20.\nAnswer: -6587, -192, -20, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + 4*x**2 + 3*x - 4. Determine g(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3\/179 (b) -5 (c) -0.5 (d) -0.028705\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -467*b**2 + 47*b - 5. Let q(n) = -717*n**2 + 70*n - 7. Determine 7*d(v) - 5*q(v).\nAnswer: 316*v**2 - 21*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2315, -2286, -2243, -2180, -2091?\n\"Answer: c**3 + c**2 + 19*c - 2336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1*12*15\/(-1260)*833\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11420993 to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 25*m. Let s(i) = -194445*i + 4. Determine s(k(v)).\nAnswer: -4861125*v + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -bc98 (base 13) to base 2\nAnswer: -110011011010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 - -23. Suppose 2*f - v - 415 = 0, -2*v = 3*f + 426 - 1073. Suppose -o*u = -53 - f. Is u even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((140\/(-8))\/(-7))\/((-60)\/(-192))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5294013?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.38 - 17.38. Let q = -4 - g. Let l = q - 14. Which is the biggest value? (a) 2 (b) l (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjkjjjjjjkkk. What is prob of sequence kjjk?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 248842?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g**3 + g**2 + 3*g**3 - 6*g**3)*(-5*g - 2*g + 3*g) + 3*g**4 - 3*g**4 - 2*g**4.\nAnswer: -6*g**4 - 4*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12982953*d**2 - 31617137*d wrt d?\nAnswer: 25965906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 227*p + 3409. Let d be g(-15). Sort 0, d, 2, 12, -2 in decreasing order.\nAnswer: 12, d, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -163 + 237. List the prime factors of l.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.93 - 0.07. Let l = -2 - h. What is the biggest value in l, 1, -0.6?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11 - 7) + 3 + -5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*i**3 + 5*i**3 - 10*i**3 + 11 wrt i?\nAnswer: -30*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21813550.61 rounded to the nearest one thousand?\nAnswer: 21814000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x**3\/7 + 105888*x**2\/7 + 45388*x - 423600\/7 = 0. Calculate x.\nAnswer: -4, 1, 26475","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 1374 - 1230 = 0. Let x(t) = 8*t**2 - 3*t - 1. Let g be x(3). Calculate the highest common divisor of n and g.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 12) to base 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 778.311 - 622.28.\nAnswer: 156.031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3\/7 + 54*i**2\/7 - 40*i\/7 - 312\/7.\nAnswer: -2*(i - 26)*(i - 3)*(i + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddibgpqq. Give prob of sequence pbqg.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (6 + -9)\/(1\/(-37))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 20 (b) 3\/4 (c) 5693 (d) 2\/15 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100591 is divided by 11130.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 21712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -60 + 50. Let n = y - -10.44. Let d = n - 0.14. What is the second smallest value in -0.4, d, 5, 1\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 - 7*m - 2. Let x be v(7). Sort 2, -3, 8, x.\nAnswer: -3, x, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 + -25. Let i = 5 + z. Let q = 1.8 + i. Which is the second biggest value? (a) 1\/5 (b) q (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-77 - 96 + 268 + (0 + 5 - 3)*(3 + 3 - 5) + 3 - 4 - 1)*(7*o + 2*o + o).\nAnswer: 950*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/54 and 59\/1336.\nAnswer: 36072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 99 - 40. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o + 8. List the prime factors of n(-14).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 363596?\nAnswer: 2, 17, 5347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36706712?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 PM and 2:43 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3277 + 7*l**2 + 5*l - 3266 - 5*l.\nAnswer: 7*l**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 79836.625 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 5*t - 3*t)*(t**2 - 3*t + 3*t) - 3*t**3 + 4*t**3 + t**3.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7691106 by -34.\nAnswer: -226209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/44576 and 51\/5989900?\nAnswer: 47919200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 + 0*p + 0*p)*(3*p - 3*p + p**2) + (75*p**4 + 96*p**4 + 14*p**4)*(-2 - 3 + 3)*(-2 + 0 + 1).\nAnswer: 368*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 59*k**3 + 6*k**2 + 3. Let h(t) = -4187*t**3 - 424*t**2 - 212. Determine 3*h(s) + 212*p(s).\nAnswer: -53*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/((s**(1\/3)\/s)\/s))\/s)\/(s*s\/s**(-1\/4))*s*s*s**(-2\/17)*s\/(s**(-1\/2)*s))\/(s*s*(s*s**(2\/5))\/s*s**(5\/4)*s)**(17\/4) assuming s is positive.\nAnswer: s**(-73291\/4080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 23 + 3. Sort x, 3, -7, 2 in decreasing order.\nAnswer: 3, 2, x, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1463.2 * -5.\nAnswer: 7316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m + 138. Let t be d(-24). Calculate the greatest common divisor of t and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - 1b8?\nAnswer: -1bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10063*s - 10078*s = 75 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21*r**5 + 17*r**5 - 26*r**5 + (0*r**4 - 3*r**4 + 2*r**4)*(-6*r + r + 3*r).\nAnswer: 14*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -173? (a) -864 (b) -0.5 (c) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 9) to base 10.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of z**5\/20 + z**4 + 5*z**3\/3 - 13*z**2\/2 + z. Let o be f(-11). List the prime factors of (-9)\/6*o*1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -273*c*k**5 + 34*c*k**4 - 903*c*k**2 + 6*c*k + k**3 wrt k.\nAnswer: -16380*c*k**2 + 816*c*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 39472*l**5 - 23*l**3 - 30671773*l**2?\nAnswer: 2368320*l**2 - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-1)*(-9)\/315*3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 255240.\nAnswer: 2, 3, 5, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-z + 0 + 0)*(4 + 2 - 1)*(-6 - 2 + 0) to the form g + y*z and give y.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a centimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3.08 (b) -0.4 (c) -6\/845 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/4 of a century in months?\nAnswer: 21900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by 93719.\nAnswer: -13\/93719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kjjtjkjjtjkttttjk. What is prob of picking 3 k and 1 t?\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3811 - 9?\nAnswer: 3804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -128282 (base 9) to base 14.\nAnswer: -20727","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - w + 5*p = 0, 5*w - 5*p = 0. Suppose w = y + 3*i - 62, -i - 132 = -2*y + i. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 201, 174, 113, 6, -159?\nAnswer: -394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -5\/6, 7, 0.1, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyay when four letters picked without replacement from aayyay.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -67764569*t**6 + 129278595*t**2?\nAnswer: -8131748280*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fd when two letters picked without replacement from dddnddddndjfnddnd.\nAnswer: 11\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124737 is divided by 31154?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 - 14*v - 25. Let i(o) = o**3 + o**2 - 7*o - 4. Let x be i(3). Suppose -k - 40 = 3*p, 9*k - 32 = 2*p + x*k. Give s(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15906, 14792, 13678, 12564?\nAnswer: 11450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 2*o + 2. Let a be z(0). Find the second derivative of -p + 5*p**3 + 9*p**3 - a*p**3 wrt p.\nAnswer: 72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 - 4 = 4*a - 5*c, -3*a - 3*c + 39 = 0. Let n = 6 - a. Does 12 divide n\/((-26)\/(-30) + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -770*q = -766*q - 28 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1435678701 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do 420 and -16 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-30646)\/(-1386) + (-8)\/(-9). Put 4, 31, b, -3 in descending order.\nAnswer: 31, b, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18286*w = 7*b + 18289*w + 52, 5*b - 20 = 5*w for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/4)*b*b**(-2\/7)*b)**(-25\/6)*(b*b*b**(4\/7)*b\/((b\/((b\/((b\/b**(-3\/5))\/b))\/b))\/b*b*b)*b)**(-30) assuming b is positive.\nAnswer: b**(-11311\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 25*b**2. Let i(f) be the first derivative of 0*f**2 + 0*f + 60 - 2\/3*f**3. Calculate i(j(t)).\nAnswer: -1250*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eiv when three letters picked without replacement from eveuiuovvusoeiieeei?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 23 = 4*o. Let m = o + 18. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -4*k**2 + 1. Let c(t) = 13*t**2 + t - 4. Let j(p) = -2*c(p) - 7*d(p). Let q = -24 + 9. Let l be -2 + 1 - (-18 - q). Calculate j(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*a**2 - 1 - 2*a**2 + 4*a**2 + 2*a + 86*a**4 + a**2 as z + b*a**3 + x*a**4 + n*a**2 + s*a and give x.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60 + (108 - 208) + -12.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -125*f**3*m*p**2 - 4733*f**3*p**3 + 963*f**2*m*p**3 + 3*f**2*p - 10*f*m + m + p**3 - p**2 wrt f.\nAnswer: -750*m*p**2 - 28398*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (320\/(-480))\/((-2)\/138048).\nAnswer: 2, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 AM and 11:53 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5960*p + 5960*p + 4*p**2.\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of -13*s**8\/168 + s**7\/210 + 13*s**4\/4 - 72*s**2. What is the second derivative of j(f) wrt f?\nAnswer: -520*f**3 + 12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*q = -7*x + 5*x - 29*q - 22, -5*x - 69 = q for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 3)*(1069*h + 1059*h - 2034*h - 8).\nAnswer: -188*h + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -3114487.6 to the nearest one hundred thousand.\nAnswer: -3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -160748, -160751, -160754?\nAnswer: -160757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1501391237?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 52 + -37. Suppose -z + 112 - a = 0. Suppose -5*t + 3*r + 18 = -z, -5*t - 5*r = -75. Is 13 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 654 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 18*q + 275. Let j be p(-15). Solve 0 = -j*h - 25 + 10 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -6*q**3 + q**2. Let t be (-4)\/38 - (-21)\/19. Let n be k(t). Let p = 0.4 + -0.3. What is the closest to p in -1\/10, n, -0.3?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 429\/(-52)*18\/(-495).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27888 is divided by 13941?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 682\/4725 - 1\/675. What is the closest to -3 in n, -0.08, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y + 16. Let b(m) = -m**3 + 5*m**2 + 2*m. Let h be b(5). What is the units digit of f(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 PM and 11:51 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -29\/5, -0.3, -4401.1 in descending order.\nAnswer: 0.3, -0.3, -29\/5, -4401.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 128.1 + -106. Let z = f + -33.1. What is the nearest to -3 in z, -1\/2, 2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 190*x**4 - 2168127*x**2 + 660*x - 24873.\nAnswer: 2280*x**2 - 4336254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12149520 a multiple of 138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/5 + 42\/5. Suppose 3 = n + u. Let m = -2 - n. Solve 0 = 2*a - 5*a - m for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -396.82 from 64.\nAnswer: 460.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.04 + 0.36. Let o = -386.38 - -207.36. Let q = o - -179. Which is the nearest to 0? (a) -3 (b) k (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 168134? (a) -0.1 (b) 0.5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 142 (base 10) to base 16\nAnswer: 8e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g**5 - g**5 + 2*g**5 + (1 + 4 - 4)*(g**5 - g**2 + g**2) + (-1 + 1 + 2*g**2)*(2 - 2 - 2*g**3).\nAnswer: -5*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 146*p - 52*p - 60*p - p**2. Let l(a) = a. Calculate l(y(g)).\nAnswer: -g**2 + 34*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*b - 6*b + 74932 - 75004 for b.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10 + -4 - 2 - 3. Suppose 3*l - 19 = 5. Let r be (-2)\/(-8) - (-2)\/l. Which is smaller: v or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.25 and 1.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-2 - (2 - 7 - -3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.072 - 0.2. What is o rounded to 2 dps?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27694 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6629\/1040 + 1\/1040. Calculate the common denominator of -93\/4 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/18)\/((-6)\/16). Suppose -3*o = 2*f - 0*o - 4, -12 = 3*o. Suppose 0*q + f = -4*q. Which is the third biggest value? (a) p (b) q (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -796\nAnswer: 1\/796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*o - 140 = -15*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35 + -30. Sort r, 0.1, -2\/7 in decreasing order.\nAnswer: r, 0.1, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o**3 + 0 + 0 + (4*o + o**3 - 4*o)*(-2 + 0 + 4) + 0 + 0 + 2*o**3.\nAnswer: 7*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 + 2)*(-2*b + 0*b + b)*(3*b + 2*b - b) to h*b + i + a*b**2 and give a.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 - 14*o - 32. Determine b(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1591 rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 396*x + 83. Let h be j(22). Let -81*b + 45*b**2 - 2*b**3 - h + 8834 - b**3 = 0. Calculate b.\nAnswer: 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - 265?\nAnswer: -270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 12) to base 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f - 3. Suppose 6*i + 140 = -4*i. Let n(x) = -6*x + 14. Let l(y) = i*r(y) - 3*n(y). Let g(z) = -5*z**2. Determine l(g(d)).\nAnswer: -20*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 229. Let j(u) = -420. Let b(c) = -6*j(c) - 11*z(c). Let p(v) = -v + 6. Give 3*b(i) - p(i).\nAnswer: i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 4*y - 15. Let q(l) be the third derivative of -l**6\/120 - l**5\/15 - l**4\/4 - l**3 + l**2. Calculate the remainder when c(8) is divided by q(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -2 - 0 - (5 + -9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -802 - 6*s + 407 + 393.\nAnswer: -6*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, u: 2, q: 6}. Give prob of sequence qzzq.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -5 (b) 0.09 (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of 0*m**2 + 3*m - 1\/6*m**3 + 1\/4*m**4 + 0. What is the second derivative of l(n) wrt n?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2 - 76*x - 16280.\nAnswer: 4*(x - 74)*(x + 55)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11031 - 222021?\nAnswer: -210330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of -a**3\/3 - 95. Let t(l) = 18*l**2 - 1. Determine v(t(y)).\nAnswer: -324*y**4 + 36*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-1)\/(-1)*7 - 9?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -472, -416, -294, -82, 244, 708, 1334?\n\"Answer: 4*u**3 + 9*u**2 + u - 486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 32\/55 (b) 0 (c) -2 (d) 22 (e) 100\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/6 + (-170)\/(-51). Suppose 5*y - 252 = a*y. Does 21 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/9, -3, -22, -0.02 in descending order.\nAnswer: 4\/9, -0.02, -3, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 24*i - 6. Let y be p(4). Suppose y = 5*l - 115. Let b = l + -15. What is the remainder when b is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43424432 (base 5) in base 16?\nAnswer: -5b3ee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(6*(sqrt(120)*-2 - sqrt(120)))\/sqrt(6))\/(sqrt(360) - sqrt(360)*3 - sqrt(20)\/sqrt(2)*-2).\nAnswer: 36*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -122 + 126. Let l(o) be the first derivative of o**2\/2 - o - 1. What is the units digit of l(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2478\/6095 - -8\/1219. Which is the closest to 0.1? (a) r (b) 1 (c) 1\/2 (d) 2230\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 0, 4, 0.0453?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -3. Let i be ((-36)\/(-30))\/(t\/10). Is (370\/(-15))\/((-4)\/i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -163\/4, -690, -0.12?\nAnswer: -690","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4933*b*f**2 + 19304*b*f - f**2 wrt f.\nAnswer: -9866*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of -91*h**5\/20 + 43*h**4\/3 - 75*h. Find the third derivative of w(a) wrt a.\nAnswer: -546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1028293)\/20690 + (-98)\/(-2).\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/2016 and -181\/150.\nAnswer: 50400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16)\/(2 + (-8)\/6). Put 0, p, -3 in ascending order.\nAnswer: p, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 3*r + 10 = 0, 12*f + 2*f - 2*r = 9*f + 2 - 11 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + 4 + -3)*-1. Let d be (-333)\/27 + (-4)\/n. Is 6792\/88 + 2\/d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k - 2. Let u be y(2). Suppose 0*o + 3*o - 3*p - 5043 = 0, u*p = -o + 1666. Suppose -o = -5*q + q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20042312 (base 5) in base 8?\nAnswer: 466552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -89, -113, -143, -173, -197, -209?\nAnswer: -203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 80455?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - 4*o**2 - 4*o. Let t be w(-3). Let k(v) = t*v**2 - 3*v - v**2 + 3*v. Let n(u) = -2*u. Determine k(n(f)).\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00036257 rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 + 31*z**2 + 40*z + 1. Let w be a(32). What is w rounded to the nearest 10?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 3*i - 51, 3*a - 7 - 130 = -i. Calculate the highest common divisor of a and 180.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-8)\/2 + -2 + 5 - (-8386 + -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 5302484 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: Suppose 2*m - 2*p - 20504 = 0, 0 = -2*m + 3*p + 1498 + 19013. Is 146 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 524, 523, 528, 545, 580, 639?\nAnswer: 728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 207\/1822 (b) -2\/9 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 28837411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 + 3*v. Let h be d(3). Let j(z) be the second derivative of -z**4\/12 + z**3\/6 + 2*z**2 - 71*z. What is j(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 936, 1874, 2812, 3750, 4688?\n\"Answer: 938*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2*g - 4*g + 6 = 0, f + 6 = -3*g. Suppose f + 3 = 3*y. Suppose 11*s - y*s - 693 = 0. What is the highest common factor of s and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.6101 rounded to two decimal places?\nAnswer: 4.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a kilogram in grams?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 PM and 3:23 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 511 - 205. Let m = a - 166. Let q be (-9)\/((-225)\/m)*1250. Round q to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**3 + f**3 - 1281*f + 1279*f - 13*f**2 + 2 to the form r*f**3 + x*f**2 + s + v*f and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 0 - 7*f - 1 - 2*f - 2. Suppose 0 = -y - 2. Is 15 a factor of w(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 81930*b + 81946*b - 2.\nAnswer: 16*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -3*o**4\/5 - 21*o**3\/5 + 18*o**2\/5 + 216*o\/5 = 0?\nAnswer: -6, -4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-8)*(-44)\/11.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1384130389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 y when two letters picked without replacement from {a: 2, y: 1, u: 1, i: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -41834 or -41832?\nAnswer: -41832","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1263501640?\nAnswer: 2, 5, 5531, 5711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (144\/15)\/((-3)\/(-50)). Suppose -22*d = -20*d - q. Calculate the greatest common factor of 30 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -143763.\nAnswer: 4\/143763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -2. Let g be (0\/(-2 + k))\/(-2). Suppose -2*u = -s + 12, 2*s - 5*u - 31 = -s. Which is the nearest to g? (a) 0.3 (b) -0.5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, -6, -538.\nAnswer: -538, -6, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 3*m - 21, 0 = -5*k - 0*m - m - 27. Let w = 6 + k. Suppose 0 = -5*n - w*n + 25. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 0 + b + 3 - 4*b**2 + 2*b. List the prime factors of l(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53 + 52 - (-231)\/36 and -47\/918?\nAnswer: 1836","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 243 - 317 = 0. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-132))\/(1*(-3)\/3)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/(sqrt(588) - (sqrt(588) - -1*sqrt(588)) - sqrt(588))*-1.\nAnswer: sqrt(3)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 536393?\nAnswer: 11, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of 11*x + 0*x**4 + 1\/120*x**6 - x**2 + 0 - 1\/48*x**8 - 1\/20*x**5 + 2*x**3 + 0*x**7. Find the third derivative of a(f) wrt f.\nAnswer: -420*f**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(384)*-2*-2 - sqrt(384)) + sqrt(384))\/((sqrt(128) - sqrt(128)*2) + sqrt(8) + 3*-1*sqrt(8))*5 + -5.\nAnswer: -40*sqrt(3)\/3 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 2.5. Let m = -394102 - -394101.9. Which is the third smallest value? (a) -28 (b) m (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3698713586 - 137506\nAnswer: 3698576080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 2. Let l = 2\/481 + 944\/4329. Let x = 0 + 0.1. What is the smallest value in l, x, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 57445*c**2*r**3 + 4*c**2*r**2 + 5*c*r**3 + 8*r**3 + 94*r**2 - 771 wrt r?\nAnswer: 344670*c**2 + 30*c + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 2:04 PM?\nAnswer: 11:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 84*z - 294. Let p(c) = -10*c - 2. Calculate 24*p(q) + 3*w(q).\nAnswer: 12*q - 930","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.4036561 months to centuries.\nAnswer: 0.00200304675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -4*g + 276, -5*g - 7*t = -4*t - 345. What is the remainder when g is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19607*i - 19630*i + 6458929 = 0. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2172068887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: 0.11 - -116\nAnswer: 116.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5500*t + 23 = -n + 5502*t, 4*n - 2*t = -26 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven eighths of a century?\nAnswer: 1650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -76 divided by -2?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 - -27. Let s be 304\/12*9\/a. Let z = -36 + s. Are z and -2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-53 - (-12 + 5) - -13) + -41?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zqqe when four letters picked without replacement from {e: 10, q: 4, z: 4, f: 1}.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*s + 20 = 16*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-9) + 11\/3. Suppose -l*v - 19343 = 3*r + 1414, 20760 = -3*r - 2*v. Let f = -96837\/14 - r. Find the common denominator of -29\/18 and f.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from -0.0623799.\nAnswer: -1.0623799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/77*(-2079)\/567.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(52) + (sqrt(13) + 0)*3.\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 597*l**3 - 2*l**2 + 83*l wrt l?\nAnswer: 3582*l - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 51*d**2 - 5. Is y(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 37541122 and 16 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1030, -2234, -3450, -4672, -5894, -7110, -8314?\n\"Answer: i**3 - 12*i**2 - 1175*i + 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven quarters of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(1\/5)*m)\/(m*m**1*m*m*m*m*m*m))\/((m\/(((m*(m\/(m*m**(2\/7)))\/m)\/m)\/m*m))\/(m\/(m\/((m*m*m**(8\/7)\/m)\/m)))) assuming m is positive.\nAnswer: m**(-257\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 676046.4cm in nanometers?\nAnswer: 6760464000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 1. Let w be f(0). Let b be w + (-30)\/(-3) - 2. Suppose 25 = 2*g - b. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*b**3 + 38 + 5*b**2 - b**4 - 3*b**4 + 0*b**4 - 32 wrt b.\nAnswer: -96*b - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -103\/1227, 2\/11, -3?\nAnswer: -103\/1227","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (1 + -4*sqrt(539)*5 + 3)**2 + 1.\nAnswer: -1120*sqrt(11) + 215615","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-1)*(-12)\/(216\/198)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 624 = 366. Let c = n + 341. Solve c*z = -2*z - 65 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + 3)*(-1)\/(-4). Let h = 910.8 + -906.8. Sort 0.12, h, p, 0.1 in descending order.\nAnswer: h, p, 0.12, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-42)\/(-35))\/((42\/20)\/(-1))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -4*t + 22. Let u(z) = 8*z - 16. Determine -2*u(d) - 3*w(d).\nAnswer: -4*d - 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16695 - 23081 = -64*y - 39*y for y.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -17274.3 to the nearest one hundred.\nAnswer: -17300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**4\/9 - 1826*t**3\/9 + 64736*t**2\/9 + 8616*t - 44384 = 0.\nAnswer: -3, 2, 38, 876","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1296?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2*u + 23796 = 0, 3*j = -28*u + 23*u + 23805. List the prime factors of j.\nAnswer: 2, 5, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -5. Suppose h + n + 19 = 4*h, 0 = -3*h - 5*n - 5. Suppose -4*s + 99 = -o*u, -2*s + 4*s = h*u + 53. Calculate the remainder when 47 is divided by s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*j + 3 = -26*j. Solve 0 = j*b - 0*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + x + 16 = 4, 3*x - 9 = 0. Differentiate 1 - c*p - 1 + 2 - 5 with respect to p.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -186.518 to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -5*f**2 + 3041*f - 164932. What is g(548)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2 - 51*g - 52.\nAnswer: (g - 52)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41 - 38. Suppose -4*f = f - 25, -5*z - u*f - 2315 = 0. Let l = z + 785. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*i - 6000 + 384. Let l = 949 - i. Suppose 9*j + l = 1255. List the prime factors of j.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2 - (-1 + 0))\/((-38)\/4750) is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(204)*5 + sqrt(204))*4)\/(sqrt(972)*1 - (sqrt(1200) - sqrt(1200)*-1)).\nAnswer: 36*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 68, 121, 156, 173, 172, 153, 116?\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24153, 4380, 32913, 61446, 89979?\nAnswer: 118512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 20210.\nAnswer: 1\/20210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5642*u - 144 = -5690*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/(-20) - (-3)\/(-2) - -10. Is 29 a factor of (33\/i - 4)\/1*-87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27b3 (base 12) in base 3?\nAnswer: -20022100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 113319114*m**2 + 109090349*m?\nAnswer: 226638228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 2*j**5\/7 + 276*j**4\/7 + 810*j**3\/7 = 0.\nAnswer: -135, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + 8*j**2 - 2*j - 10. Let n = -339 + 349. What is the remainder when s(5) is divided by n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of h**6\/120 - h**4\/24 - 7*h**3\/6 - 9*h. Let k(d) be the second derivative of i(d). Determine k(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 802b (base 15) in base 9?\nAnswer: 41075","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11072039 is divided by 14033?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 267, 544, 833, 1140, 1471, 1832, 2229?\nAnswer: 2668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 191*w - 188*w - 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -164770 - 1500\nAnswer: -166270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 2 - -2 - (1 + -2) - 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + 3*g + 2. Suppose -2990 = -23*v + 4623. Let t = -333 + v. Let p(b) = 2*b**3 - 4*b - 1. Determine t*p(m) - 3*r(m).\nAnswer: -m**3 - m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17430069 is divided by 871495.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6604886 is divided by 2201232?\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28062 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/28*350\/(-25)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -8. Let n = -1 - g. Which is greater: n or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5182 divide 1026051546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lu when two letters picked without replacement from xhlhehxyuelxhx.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2701426982?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/503582 and -53\/82.\nAnswer: 20646862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 33924 divided by -6\nAnswer: -5654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 269311016?\nAnswer: 2, 13, 19, 73, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4599\/11 bigger than 418?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -451*k + 8756401 = 8789324 for k.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -87?\nAnswer: -5\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 199716?\nAnswer: -19971.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 105\/(-20) - 3\/4. What is the units digit of -14*2\/h*3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*n = -17*n + 10, -3*a + 520399 = -4*n. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2392522, -4785048, -7177574, -9570100?\n\"Answer: -2392526*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m. Let l(s) = -7*s - 17. Let u(f) = -l(f) - 6*x(f). Let w(j) = 2. Give -2*u(i) + 14*w(i).\nAnswer: -2*i - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -164, -2, -4, -8 in decreasing order.\nAnswer: 4, -2, -3, -4, -8, -164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -129951460 or -129951458?\nAnswer: -129951458","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 496 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 130*h + 127*h = 7, 35 = -5*i + 8*h for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 - 10*l - 16. Let j be y(-7). Let t be ((-30)\/24)\/j*-16. Sort -8, 5, t, -2 in decreasing order.\nAnswer: 5, t, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (7 + (3 - 5) + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 755?\nAnswer: 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/417471 and -1\/25752.\nAnswer: 96853272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 14) in base 2?\nAnswer: 10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29 - 254 + 2*b - 577 - 412 to the form i + x*b and give i.\nAnswer: -1214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17213871\/5 < 3442775?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -939 or -942?\nAnswer: -939","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 87*y**2 + 495*y - 496471?\nAnswer: 174*y + 495","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y + 89. Let q be j(41). Suppose -11*o = -q + 28. Which is greater: o or 10?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475) + 5)**2 + sqrt(19) + (sqrt(76) - sqrt(19)) + 1.\nAnswer: 52*sqrt(19) + 501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 - 6*a + 6. Let m(h) = -h**2 + 7*h - 7. Suppose 5*j + 11 = -19. Calculate j*r(z) - 5*m(z).\nAnswer: -z**2 + z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**4\/2 + 654*c**3 + 2607*c**2\/2 + 651*c.\nAnswer: 3*c*(c + 1)**2*(c + 434)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u + 13992 = -26*u + 34*u. What is the remainder when u is divided by 59?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -47\/35 + 4447\/210. Let z = f - 62\/3. Suppose -1 + 8 = -4*h - q, -4*q = -4*h - 12. Is h bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = 2*o - 4*h, o + 3*h + 62 = 2*h. Let i = -18 - o. Calculate the highest common factor of i and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -12. Is 2\/r - (-1084)\/18 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 58 = -17. What is the derivative of 7*m**4 - 3*m + 3*m - n + 10 wrt m?\nAnswer: 28*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/3824 and -67\/9560?\nAnswer: 19120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2 + ((sqrt(704)*-4 - sqrt(704)) + -3)**2 + sqrt(704)).\nAnswer: 992*sqrt(11) + 70444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1\/5)\/d**(2\/7)*(d*d**1*d)**39 assuming d is positive.\nAnswer: d**(4078\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010000 + 0?\nAnswer: -1010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -57.8, 0, 43, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2062 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18192933 to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2 = 3*z. Suppose -4*l = -52 + 4. What is the remainder when z\/(-2)*-46*1 is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 3 + 1 + 3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -1 - 136*k**3 - 3*k + 1 - 210*k**2 + 207*k**2 + 58*k**3. Let r(c) = 78*c**3 + 4*c**2 + 4*c. Give 4*b(n) + 3*r(n).\nAnswer: -78*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 189*o - 78. Let j be 4\/(-12)*(0 - 9) - -1. What is the units digit of r(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.045 + -33.045. Let y = i - -33. Let o = 0.04 + 0.46. Which is the nearest to y? (a) 0.1 (b) 1\/8 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/5 (b) -0.5 (c) -6 (d) -35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 165 divide 1282380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5192729?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -10 + -5 + 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -1542\/7 - 2\/7*u**2 + 1544\/7*u = 0. What is u?\nAnswer: 1, 771","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + s**2 + 2*s + 50. Let z be n(0). Suppose -4*w + z = w. Calculate the remainder when 14 is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, j: 11}. Give prob of sequence jsj.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 6*r - 32. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k + 55 - 6 - 4 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 69637939 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 906, 1736, 2398, 2802, 2858?\nAnswer: 2476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -31426 or -1392?\nAnswer: -1392","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 22 = -4*z. Let h = 19 + z. Let g = h - -16. Is 12 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -0 + 3. Let n(r) = 3*r**2 + 4*r**2 - 2*r - 2*r**2 + r**3 + 4 - 7*r**2. Give n(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(1\/(-10))*(-5)\/10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11010100111111 (base 2) in base 5?\nAnswer: -414011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 46*h + 47*h = 13, k = -3*h - 3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 8*u - 205. Suppose 14 - u = -9*f. Solve -i = k - f*k, 3*k + 4*i = -22 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*s*u**2 - s*u - 24767*s + 2*u**2 - 15*u with respect to u.\nAnswer: -8*s*u - s + 4*u - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - o. Let q = -26 + 28. What is s(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 19*p**3 + 2*p**2 + 2*p + 1. Suppose 38 = -8*k + 230. Suppose 5 = 19*u - k*u. What is t(u)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -400421*o**2 + 549332?\nAnswer: -800842*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - v**2 + 2*v. Let d be t(-2). Suppose n + d*n + 2 = 0. Let u = 18.4 + -18. What is the closest to 0 in n, u, -0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 2*y**2\/3 - 1104772*y + 457695439494 = 0.\nAnswer: 828579","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -0*x + 5*x + 291, 0 = -3*x. Let n = -94 + g. Sort n, 1, -4, 8 in descending order.\nAnswer: 8, n, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4333170744 a multiple of 2898?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.615312 years in months?\nAnswer: 7.383744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000421 rounded to 6 dps?\nAnswer: 0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least -39\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -269*d - 633. What is the units digit of n(-20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 0*i = 8, 0 = -5*y + 2*i + 33. Suppose -y*d + 295 = 5*z - 2*d, 0 = 4*d - 20. What is the highest common factor of 8 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*q**4 - 9*q**4 - 7*q**4 + q**3 + 2*q - 7*q**4 + 2 to the form p + r*q + w*q**4 + y*q**3 + k*q**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.917739t in nanograms?\nAnswer: 7917739000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 4. Sort -2, s, 0.\nAnswer: -2, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110167 is divided by 3670.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42 - (-50 + 83 - -1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 84, 146, 234, 348, 488, 654?\n\"Answer: 13*s**2 + 23*s + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*j**3 - 473202*j**2*z + 74874272*z with respect to j.\nAnswer: 30*j**2 - 946404*j*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**2. Let m(r) = 3*r. Let q be 27\/6*4\/6. Let f(s) = -4*s. Let i(j) = q*m(j) + 2*f(j). Determine o(i(h)).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 348.5 (b) 1 (c) -2 (d) 17.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 203331708 to the nearest integer?\nAnswer: 14259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-105)*-34)\/(25\/(75\/6))\nAnswer: -17\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10*g**3 + 2078872*g**2 + 83378214 wrt g?\nAnswer: -30*g**2 + 4157744*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, b: 2, o: 2, u: 12, f: 1}. Give prob of picking 1 u and 1 o.\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 349 + -2?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/((c*c*c**(-5))\/c)*c))**36 assuming c is positive.\nAnswer: c**(-180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 12, -3, 9, -663440.\nAnswer: -663440, -3, -2, 9, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -5 + 13. Suppose 4*k + 3*r = -0*k + 87, 5*k + f*r - 109 = 0. Let g be 36\/k*(-42)\/(-4). Solve 3*z + 3*v = -0*z - g, -z = 2*v + 7 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h. Let p(s) = s - 13. Let f be p(10). Determine y(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/340003 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 957 - 934. What is the highest common divisor of i and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 + 32 = -120*p + 65 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11550 by 5.\nAnswer: 2310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of -v**4\/8 - 17*v**2 + 26*v. Let c(n) be the first derivative of t(n). Let f(y) = 13*y. What is f(c(k))?\nAnswer: -39*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 + 195*n + 1429. Determine p(-7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1395102429.\nAnswer: 3, 7, 83, 266801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -1158*h - 1. Let g(l) = -22*l**2 + l - 1. Let y(n) = -133*n**2 + 6*n - 6. Let r(d) = -6*g(d) + y(d). Calculate r(a(x)).\nAnswer: -1340964*x**2 - 2316*x - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -128.95339 rounded to zero dps?\nAnswer: -129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10886 >= 1712?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -940, -1894, -4480, -9514, -17812, -30190, -47464?\nAnswer: -70450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 58\/6 + 1\/3. Suppose -3*h + 3 = -6*h. Does 7 divide (d\/(-8))\/(h\/12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -14*b - 76. Let s be d(8). Let f = -142 - s. Calculate the highest common factor of 69 and f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 389 + 285. Let b = 191 + f. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2482222*p**2 + 15*p - 47. Let j be b(3). What is j rounded to the nearest one million?\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d = 21*g + g - 5*d + 408, 86 = -4*g - 5*d for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 23 (b) -9\/1076 (c) -0.1 (d) 5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32*y**2 + 3*y + 3*y + 40*y**2 wrt y.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 497524 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 433607 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2574 divided by 11.\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -633, -5001, -16857, -39945, -78009, -134793, -214041?\nAnswer: -319497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*r - 6*r - 33. Let y = -146 - -146. What is the remainder when r is divided by (y - (-34)\/4) + 12\/(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -942021 divided by -3\nAnswer: 314007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3120 (base 16) to base 13.\nAnswer: -5955","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6420 + -5?\nAnswer: -6425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of 5*g**3\/6 + 17*g**2\/2 - 8*g. Let a be w(-3). Solve 2*s + a*s = -8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 18*x**2. Let p(l) = 16490*l. What is p(c(a))?\nAnswer: 296820*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16372613 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 AM and 3:49 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/8 (b) 1 (c) -5 (d) -125\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 - 7*u + 10. Let q be a(-8). Let v = 24 + -15. Solve c - v = -q*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/9)\/(-4 - -8). Which is smaller: 3\/7 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1150710 divided by -1902\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 3)*(2*b - 5*b - 2*b + (7*b - 5*b + 5*b)*(1 + 2 - 1)).\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1522 rounded to two decimal places?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 461359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 80, 76, 62, 32, -20, -100?\n\"Answer: -w**3 + w**2 + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, z: 1, h: 3, r: 1, f: 2, j: 3}. What is prob of picking 1 f and 1 z?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = f + 4*f. Let c be (f\/2)\/(1\/10). Suppose 3*u - 4*r - 231 = -6*r, u = -r + 78. What is the highest common factor of c and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31795 take away -1918?\nAnswer: -29877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 19 - 21 - (0 + 3). Let j(u) = 2*u**2 + 7*u. Determine j(v).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -1010532?\nAnswer: -1010524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/32*140\/(-47335). Let o = -549710885\/113604 + t. Let h = o - -4818. Find the common denominator of h and 41\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*n**2 - 21*n**2 - 2656597675*n - 21*n**2 + 2656597675*n + 67*n**2.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 7) to base 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of 327*s**3 + 223*s**2\/2 + 2*s - 274. Find the second derivative of c(n) wrt n.\nAnswer: 1962","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2114000 to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-10)*f*f*f**(-1)*((f**(-2\/7)\/f)\/f)\/(f\/((f*f**8)\/f)*f) assuming f is positive.\nAnswer: f**(-37\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 107?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 43698 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 30827 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.36 + 72.36. Let r = -283.68 + 286.68. Put -0.2, x, r in descending order.\nAnswer: x, r, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(1\/3))**(-26)*(((b**0*b)\/b*b)\/b)**(7\/9))\/(b\/(b\/(b**2\/b)*b)*b*b**(-6)*(b\/(b**(-1)*b))**(2\/127)) assuming b is positive.\nAnswer: b**(-11309\/381)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1830804 by 4.\nAnswer: 457701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (817 - 817 - 2*o**2)*(o + o - 3 - o).\nAnswer: -2*o**3 + 6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 222526 to the power of 1\/2, to the nearest integer?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pbgp when four letters picked without replacement from {x: 2, v: 3, b: 3, o: 1, g: 1, p: 5}?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34555.\nAnswer: 5, 6911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, 384, 0.2, 24\/13, 52, 2 in descending order.\nAnswer: 384, 52, 2, 24\/13, 0.2, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43.8 + 40. Let u = g + 0.8. Put 5, -1\/3, u in ascending order.\nAnswer: u, -1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 383.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -826 + 1413. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3*r = 6, 4*s - r + 4*r - 6 = 0. Solve 5*f + s*f + 5 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 199349\/22 + -9065. Find the common denominator of (-134)\/(-11)*(28\/16)\/(-7) and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 23025344 and 128?\nAnswer: 46050688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 6:07 PM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 50.048808 - 50.02. What is a rounded to three dps?\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -165 + 95. Let w = 25 - h. Suppose 0 = 2*k - w - 11. What is the remainder when k is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 40*s**2 - 75*s - 46. Give d(38).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 5, -1\/5, -4854?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/5)\/(13\/(-65))*-4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*i**2 - 1109 + 1109 - 22*i**2 + 13*i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -12*s**3 + 3*s**2 - 99*s - 28. Let d(f) = 26*f**3 - 7*f**2 + 199*f + 65. What is -3*d(h) - 7*v(h)?\nAnswer: 6*h**3 + 96*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -3*l - 23 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 519?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three tenths of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14687760 rounded to the nearest 1000000?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 3969741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 34477412?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -646280*x**2 + 5*x**3 + 646280*x**2.\nAnswer: 5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -3542.47 to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(6\/5*15\/12).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-236)\/(-413) + 31\/7. Suppose 3*f = 2*d + 15, -5*d + f - 25 = -4*f. Suppose 0 = 2*g - d*g + 4*x - 58, 0 = -g + q*x + 8. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2 = -3*j + 5*j, -28 = 5*j + 4*d. Let q be 250\/(-3)*(2 - (-38)\/j). Suppose 5*k + 2*v = 640, 6*k - v = k + q. Is 6 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 449 is divided by 120?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r + 6. Let s = 188 + -182. Let n(i) = -i**2 + i - 5. Determine s*n(g) + 5*y(g).\nAnswer: -6*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 414*c**2*g**2*o - c**2*j + 45*c*g**2*j - 2*g**2*o + 2*g*j - 3252*g - 2*j*o wrt g.\nAnswer: 828*c**2*o + 90*c*j - 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1176.3 + 1103. Round o to the nearest integer.\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -62, -95, -128?\nAnswer: -161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 61)*(4 - 4 + r)*(3*r - r + r) + 10*r**2 - 2*r - 13 + 13.\nAnswer: 193*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2230360 is divided by 2230053?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -31, -1\/3, 3\/5, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1359 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(640)*-2 + sqrt(50)\/sqrt(245))\/((sqrt(2400) + sqrt(2400)*-1 - sqrt(2400))\/((sqrt(12) - sqrt(300))*-4)).\nAnswer: 888*sqrt(5)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 565 + -565.000148. Round c to five decimal places.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21088 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.569252 rounded to 2 dps?\nAnswer: -0.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/4))**(1\/6)\/(g\/(g\/(g*g**(-1\/2)\/g)))**49 assuming g is positive.\nAnswer: g**(587\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 4 + 8 = 0. Suppose 0 = -3*l - t*l + 205. What is the remainder when l is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**4*w)\/w)\/w*(w\/(w*(w\/w**0)\/w))\/w)\/(w**(-1)*w)**(2\/61) assuming w is positive.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -26, -84, -186, -338, -546, -816, -1154?\n\"Answer: -k**3 - 16*k**2 - 3*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u + 1 - 2 - 2*u - u**3. Let o be ((-2)\/(-6))\/(1\/3). Let i(k) = k**3 + 3*k + 2. Let v(x) = o*i(x) + 2*a(x). Find the second derivative of v(n) wrt n.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41959935 divided by 115?\nAnswer: 364869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 25\/4 of a gram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of r**8\/336 + 5*r**4\/24 - r**2 + 2*r. Let h(i) be the first derivative of u(i). Find the second derivative of h(k) wrt k.\nAnswer: 20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1.1, -2, 11.39, -3, -1, 0.7 in ascending order.\nAnswer: -3, -2, -1, 0, 0.7, 1.1, 11.39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 + -20. Suppose -193 = -2*y - y + 5*u, 2*y - 132 = z*u. What are the prime factors of y?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -9.\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/7*(-126)\/(-27). Let x be 3 + l - (-2 + 2 - -2). Let g = 22 - 26. Put x, 0, g in decreasing order.\nAnswer: x, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 32, -5, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of i*m*z**3 - 86*i*m*z**2 - 2*i*m*z - 588*i*z**2 - 77*i*z - 4*m*z + 2*m + 47*z wrt z?\nAnswer: 6*i*m*z - 172*i*m - 1176*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/((8\/(-4))\/(-2)). Let g(z) = 3*z**2 - 6*z**2 - x*z**2. Let o(i) = -4*i. Determine g(o(u)).\nAnswer: -96*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vuvo when four letters picked without replacement from uovvuuuuyvuyuviuyuy.\nAnswer: 3\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -399, -802, -1209, -1620?\nAnswer: -2035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4557652941?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 12*z - 1. Let k(c) = -94*c + 10. Let l(r) = 8*a(r) + k(r). Give l(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 176171 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 57*i**3 + 2*i**4 + 6 - 8 - 55*i**3 + i + 4*i**2 - 3*i as u*i**3 + p*i + d*i**4 + g*i**2 + h and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -4775.441.\nAnswer: -1910.1764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*v + 19*v + 25. Let k be 3 + 2 + 1 - v. Let l(o) = -o**3 + 6*o**2 - 5*o + 1. Let f be l(5). Calculate the highest common factor of f and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1368 divided by 152?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -7*r**2 - 194 + 194. Let c(q) = -2*q**2. What is p(c(w))?\nAnswer: -28*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 17\/(-2) + (-5)\/10. Let u be (-9)\/(-12)*6\/m. Does u = 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 8:23 AM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1864*b - 3879*b + 2641*b to o + i*b and give i.\nAnswer: 626","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/(-4)*(-5 - -1). What is the third derivative of 100*z**5 - 39*z**2 - 1 + 1 - 161*z**y wrt z?\nAnswer: -3660*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24824*j**2 - 18*j**3 - 26 + 12410*j**2 + 12412*j**2 to o*j**3 + m*j + a*j**2 + u and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2187?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.13 + -4.8. Let w = 0.03 - t. What is the closest to -0.1 in -2\/9, w, -0.5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1691153, -1691226, -1691347, -1691516, -1691733, -1691998?\n\"Answer: -24*m**2 - m - 1691128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1145\/3 - 2\/(-6). Suppose q - 3*q = -s. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(i*i**(-5)*i*i)\/i*i\/(i\/(i*i**(-2)))*i)**(-12))**(4\/15) assuming i is positive.\nAnswer: i**(32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u. Let d(y) = -655*y**2. Give d(b(m)).\nAnswer: -655*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3462646 and 143?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 31 = -14*b, -43*b + 3*g - 11 = -39*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11023 (base 4) in base 14?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -1, -0.5, -14\/3.\nAnswer: -14\/3, -1, -0.5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**5 - 2*m**5 + 2*m**5 + m**5 + 3*m**5 - 2*m**5 + (4*m - 4*m + 2*m**2)*(-6*m**3 + 3*m**3 + m**3).\nAnswer: -5*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*w**2 + 53*w**2 - 148*w**2 + 10*w + 57*w**2 - 10*w.\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-9)*q**(-1\/6))**(-47) assuming q is positive.\nAnswer: q**(2585\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1813 - -1812. Let d(h) = h + 1. Let r be d(-4). Which is the closest to x? (a) r (b) 0.5 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13343*i**3 + 4446*i**2 - 7*i - 4248146 wrt i?\nAnswer: 80058*i + 8892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 + 0. Let y be (35\/(-70))\/(84\/8). Which is the biggest value? (a) z (b) -2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/91 and 23\/3836.\nAnswer: 49868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22*2\/(-28))\/(95975\/34900)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of -2 + 0*d**2 - 1\/3*d**3 - 2*d. Differentiate r(x) with respect to x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19\/15 + 7\/15. Let t = 61\/60 + -4\/15. Suppose -i + 3*z = -4, -i - 2*z = -0*z + 1. Which is the second smallest value? (a) t (b) i (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4274019.\nAnswer: 3, 59, 2683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 4*c - 3*c - 3*m, -3*m + 9 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -17, -29, -43, -59?\n\"Answer: -r**2 - 9*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 324\/144 - 1\/4. Suppose 7 = 2*i + 3. Let o(n) = -3*n**2 + i*n**2 - 2 - 9*n + 6*n - j. Give o(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 81 and 72?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 41669943 and 480543?\nAnswer: 291689601","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u + 17. Let v(q) = 4*q + 6. What is t(v(s))?\nAnswer: 4*s + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -409*g**2 + 824*g**2 - g - 414*g**2 + g. Let u(l) = 4*l**2 + 18*l. Let j(o) = 11*o**2 + 53*o. Let z(c) = 6*j(c) - 17*u(c). What is q(z(n))?\nAnswer: 4*n**4 - 48*n**3 + 144*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -95158, -380782, -856822, -1523278, -2380150?\nAnswer: -3427438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3)*u*u**(6\/7))**(-5\/3)*(u\/u**(-2\/5))**(-32)*(u**0)**24 assuming u is positive.\nAnswer: u**(-4504\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 9 (b) -54 (c) 0.2 (d) -6\/5 (e) -1\/23 (f) 6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 443*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100111011001010000111110 (base 2) to base 7.\nAnswer: 153531112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3376 is divided by 147.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2. Let a(q) = -8*q**2 + 2. Let r(l) = -1. Let f(v) = a(v) + 4*r(v). Let s(n) = 10*b(n) - f(n). Find h such that s(h) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or -424066?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 2 + sqrt(800) - (sqrt(800) - (sqrt(800) + 2*sqrt(800) + 1)) - (sqrt(800) + -3*sqrt(800) + 5)*-1)**2*5.\nAnswer: 1200*sqrt(2) + 4180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyttyct. Give prob of sequence cttt.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34 and 850.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 2*k - 80, 2*k + 5*q - 95 = -0*k. What is the remainder when k is divided by (20\/(-25))\/((-3)\/10 + (-16)\/(-80))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (7 + -3)\/((-1)\/(-4)*8). Let g(x) be the first derivative of -2*x**2 - 1\/3*x**6 + o*x**5 + 14\/3*x**3 + 0*x - 9\/2*x**4 + 11. Factor g(w).\nAnswer: -2*w*(w - 2)*(w - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of -5*v**2\/2 - 138. Let h(p) = 4*p + 0*p - 2*p. What is n(h(q))?\nAnswer: -10*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 137765 and 7939?\nAnswer: 2342005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -5619*r + 56201. Give v(10).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 959*a - 1382. Calculate q(2).\nAnswer: 536","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 256 = -5*i. Let u = i + 1412\/11. Let y = 13623\/7 - 1950. Find the common denominator of y and u.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/(4 + -1) - -9. Suppose -4*h - h = -x*n + 495, 2*h = 4. Let w = n - 47. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -697292, -1394576, -2091860, -2789144, -3486428?\n\"Answer: -697284*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 less than or equal to 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -110, -217, -324, -431, -538, -645?\n\"Answer: -107*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -30604*g**3 - 6*g**2 + 10*g + 47. Is y(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 10*w**2 - w + 7. Let d be g(10). Suppose -4*s + r = 14, 0 = s - 4*s - 3*r - 18. Which is the second biggest value? (a) d (b) s (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 14396 = -5*g, 0 = 13*g - 18*g - 20. List the prime factors of f.\nAnswer: 2, 3, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3785985 a multiple of 176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/180 and -137\/120.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 6 = -3*w. Let a(l) = 3*l**2 + 7*l**2 - w*l**2 + 1 - l**2. Calculate the smallest common multiple of 14 and a(1).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of -5\/2*c**4 + 4*c**2 + 1\/3*c**6 + 2*c**5 + 40*c - 230 - 50\/3*c**3. Find x such that r(x) = 0.\nAnswer: -5, -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -47 - -41. Let p(a) = -a**3 - 6*a**2 - 10*a - 15. Let n be p(o). Let v = 45 - n. Solve v = 5*h + u, -3*u - 18 = -3*h - 0*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s**5 - 3*s**5 + 2*s**5 + (2*s**4 - 2*s**4 + 2*s**4)*(3*s + 9*s - 2*s).\nAnswer: 22*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 828033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 421460437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4*-6.9\nAnswer: -27.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23 is divided by (0 + 2)*52\/8?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/50 of a kilogram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of i**6\/180 - i**5\/24 - 7*i**4\/24 - i**3\/3 + 9*i. Let u(t) be the second derivative of c(t). Is u(6) a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64370 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/280 and -29\/108040?\nAnswer: 756280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 13*k = -112. Which is the second biggest value? (a) -1 (b) 2\/3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4205 + 1134. What is the highest common divisor of d and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1572278452?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 117621 or 117616?\nAnswer: 117621","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 163458 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 106*r**2 - 13*r - 11. Calculate the least common multiple of y(-1) and 36.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 45?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, w: 1, m: 2, y: 1, v: 4, k: 3}. What is prob of picking 1 v and 1 w?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 274 + -176. Let a be ((-30)\/90)\/((-1)\/42). Calculate the highest common divisor of h and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19821175?\nAnswer: 5, 11, 72077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(2\/7))**(1\/14) assuming g is positive.\nAnswer: g**(9\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*c - 143 = -290 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/6450 and 71\/278760.\nAnswer: 59933400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) -4 (c) -8\/5 (d) 3\/5 (e) -7\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 45 (b) 2\/15 (c) 3 (d) -1 (e) -1490\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -61039 - 467198. Let z = g + 1328237. Round z to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 44*a**2*v**3 + 65*a**2*v**2 - 18*a**2*v - 90*a**2 - 4*a*v**3 - a*v + 4*v wrt v?\nAnswer: 264*a**2*v + 130*a**2 - 24*a*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/14 + -11\/42. Suppose 12 = o - 4*o - 3*g, -o + 4*g + 16 = 0. Suppose -2*d + d = o. Which is the nearest to d? (a) 3 (b) -1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ngnn. What is prob of sequence ngnn?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23960.0000032949 - 23960. Round p to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of 11\/12*t**5 + 0 + 2\/3*t**6 + 0*t + 12*t**2 + 0*t**3 + 1\/6*t**7 + 5\/12*t**4. Solve r(s) = 0.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = 4*u + 2, 3*u - 5*u - 5*w = -4 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.4 - 1.7. What is the biggest value in u, -5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15640)\/240 - -64) + (-1)\/(1\/(-2)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1980955*s**2 + 1980955*s**2 - 1073*s**3.\nAnswer: -1073*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*u**5 - 352*u**3 + 7*u**2 + 61*u.\nAnswer: 180*u**2 - 2112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 m, and 2 n when four letters picked without replacement from {j: 4, m: 2, n: 2}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 0*s = -3*a + 22, -20 = -3*a + s for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -29317, -55379, -78185, -97735, -114029?\n\"Answer: 1628*s**2 - 30946*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 235321*m. Let h(j) = -j - 11. Calculate h(f(d)).\nAnswer: -235321*d - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -u + 16. Suppose -7 + 27 = -2*f. Let v = f + 15. Solve j = v*j + u for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52 divided by -7\nAnswer: -52\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 33 = -157*m + 161*m, -6 = 2*m - 2*s for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a milligram in micrograms?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(((-16)\/((-80)\/10))\/((-30)\/(-5))).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/((-4 - 35\/(-10))*4). Suppose 0 = -17*w + 18*w + r. Sort -0.4, 0, w, 5 in decreasing order.\nAnswer: 5, 0, -0.4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 6) in base 11?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -180e (base 16) to base 15.\nAnswer: -1c58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*a + 15*a = -121. Calculate the greatest common factor of a and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a millennium?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1044207 by -3.\nAnswer: -348069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17237 or -25768?\nAnswer: -25768","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1445407500 rounded to the nearest 100000?\nAnswer: -1445400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/48 and 121\/312.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55, -111, -167?\nAnswer: -223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209 is divided by 56?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2*g - 13 = 0, -6*a + 4*g = -a - 21. Let q(w) = 2 + 1 - 3 - a + w. Determine q(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*r + 825 = 8*r. Solve c + 13 = -c - x, -r = 5*x for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/224)\/(1*3\/21*-4)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -63608 divided by 5?\nAnswer: -63608\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/366?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37.69058 centimeters to millimeters.\nAnswer: 376.9058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18914a (base 13) in base 5?\nAnswer: 124313120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-4 - -12 - (38 - 41))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*-1 + (-2)\/3*-171. Suppose 0*o - 3*o + j = -76, 0 = -5*o - 2*j + t. Suppose -6 = 5*x + o. Which is the biggest value? (a) x (b) 0.2 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 8:28 AM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -4. Let u = -0.2 + m. Which is the biggest value? (a) 0.2 (b) u (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 1\/4 (b) 3 (c) -33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/40 and 10\/(-12)*1830\/400.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -3*n**2 - 27*n - 20. Give q(-11).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23459 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -51 - -107. Let x = -57 + a. Is -23\/4 bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4305 a factor of 1752449265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 7356 = 3*f. Let c = 12368 + f. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12306.89 + 12237. Let r = -0.89 - s. Let t = r + -64. Which is the closest to 1? (a) 1 (b) t (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.8 - -1. What is the second smallest value in -3\/2, 4, t, -2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -82797*i**2 - 63*i - 976. Let k be b(-16). Round k to the nearest one million.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 63 by -3653.\nAnswer: -63\/3653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 74667645 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -b**4 + b**2*r + 52*b*r - 133*r wrt b.\nAnswer: -4*b**3 + 2*b*r + 52*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20 is divided by (11\/2)\/(4 + (-14)\/4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 2*l - 80. Suppose -5*o = -k - 106, -5*k = 3*o - 18 - l. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1827*s + 5334*s - s**3 - 2065*s)*(1 - 6 + 3 - 7).\nAnswer: 9*s**3 - 12978*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, p: 8, o: 2}. Give prob of picking 2 m.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + m**2 - 52*m + 364. Let d be l(5). Let h = -7 - -12. Suppose -h*w = -4*w - 2. Solve 0*c + 3*f = c - d, -w*f = 5*c - 20 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 42 = 5*x - 2*y, -x + 9 = y. Let m = x + -8. Which is greater: m or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, s: 5, p: 4, i: 5, k: 1}. Give prob of picking 1 s and 1 k.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (22 + 12 - 7)*(-2 + 3 - 3)*(-t - 9 + 13 - 9) as v*t + o and give o.\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 10\/7 (b) -0.2 (c) -4 (d) 761\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(-6))\/(11151\/38232)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yccxyccywxxcxyyyxcy. What is prob of sequence cy?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*q**2*u**4 + 2*q**2*u**2 - 10*q**2*u - 183*q**2 - 19121703*q*u**5 - q*u**2 + 2117*q*u wrt u?\nAnswer: 48*q**2*u - 1147302180*q*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1005*r - 1037*r = 0. Sort -76, r, 8.\nAnswer: -76, r, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1885*r - 34052 + 139612 = 0 for r.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 319525126?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 10000101111110100110100 (base 2) to base 12\nAnswer: 1578758","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 5*c**2 - c - 8. Let j(o) = -2*o**2 - 4*o - 31. Let t(v) = -v**2 - v - 7. Let a(m) = j(m) - 4*t(m). Give 8*a(p) - 3*g(p).\nAnswer: p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 1:08 AM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/40 - (-18 - (-7497)\/(-1470)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -11*v**2 + 8 - 27*v - v**3 + 2*v**3 + 45*v - 19*v. What is s(11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/3*(-36)\/(-66)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3737458?\nAnswer: 2, 103, 18143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 + 48645*z. Let f(r) = -246*r. Give o(f(v)).\nAnswer: -60516*v**2 - 11966670*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of 9*p**2 + p - 2. What is the units digit of s(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 14*g + 21. Let f be p(18). Let n be (0 - (-8)\/12)\/(2\/f). Let y = n + -58. Solve 5*r = -8 + y for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, r: 9, l: 6}. What is prob of sequence llar?\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 5262, 1672.\nAnswer: -5, -1, 1672, 5262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1211221211212 (base 3) to base 6\nAnswer: -33024205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -36*f**5 + 77*f**4 - 68*f**3\/3 - 34*f**2 + 8*f - 11. Find i such that y(i) = 0.\nAnswer: -2\/5, 1\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.84, -786, -135?\nAnswer: -135","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -5*u + 2*w, 3*u - 21 = u + w. Solve 2*k - u = -3*f, k - 6*f + f + 7 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14288 divided by 188\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7509 + 7513. Solve -16*u + 14 = -a - 20*u, -i = -4*a - u for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 10*u**3 - u**2 + u + 4. Let n(t) = 9*t**3 - t**2 + t + 3. Give 4*n(m) - 3*p(m).\nAnswer: 6*m**3 - m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 3*z + 30. Let t be f(-9). Let b be (((-4000)\/t)\/(-4))\/(23\/4278). Round b to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38 - -17) + 9 + -5 + 2?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tff when three letters picked without replacement from ffffftffftftffffff?\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 2*a**4 + 63*a**3 - 187*a**3 + 11*a**4 + a**4 + 14*a**4 = 0.\nAnswer: 0, 31\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 127*q + 25 - 30 + 3*q**4 + 79*q**3 - 130*q to h*q**4 + m*q**2 + g*q**3 + x + z*q and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -187, -492, -797, -1102, -1407, -1712?\nAnswer: -2017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -r, 67*t - 30*t = 32*t - 5*r - 20 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**(-1\/13)*h)*h*h**(-15)*h)\/(h**(9\/2)\/((h*h*(h\/h**13)\/h*h)\/h)) assuming h is positive.\nAnswer: h**(-765\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -22011211 (base 3) to base 13\nAnswer: -2938","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 147616.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 20 (b) -26 (c) 3\/5 (d) -1.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 q when two letters picked without replacement from qwwwzggqwg?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 12 (c) -2 (d) 2\/11 (e) -3 (f) 0.26 (g) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-18) + (-1)\/((-27)\/129).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 s when four letters picked without replacement from bsshdhssddssshsdss.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/10 + (-26)\/(-10). Is 715 - (b + 0)*-2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 365 (base 8) in base 9?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 627\/5 - 125. Suppose -u = -3*k + 2, 3*k + 4*u - 1 = 6*u. Which is the closest to -2\/7? (a) k (b) n (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, n: 4, j: 2, a: 2, q: 2, r: 1}. What is prob of picking 1 r, 2 f, and 1 n?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 11\/8 of a meter?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*j**2 - 11*j + 1 + 1 + 16*j + 3*j**4 + 2*j**2 to the form f*j**2 + y*j + d*j**3 + w + z*j**4 and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1970 and 15?\nAnswer: 5910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-2*sqrt(264))\/(sqrt(108)\/sqrt(2)).\nAnswer: -20*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 317364083 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1229*f*j**2 + 384838*f - 6*j**2 wrt j.\nAnswer: -2458*f*j - 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46452994 is divided by 4120?\nAnswer: 4114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from yyyyyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i. Suppose 22*z = z + 105. Let q(y) = y - y + z*y - 2*y. Calculate l(q(p)).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1768\/7 + -252. Let f = -3096.5 - -3096.8. Which is the closest to -6? (a) d (b) f (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -20 - -5b6d9?\nAnswer: 5b6b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-21) + (900\/35)\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45070 - (-3*32\/24 - (-7 - -1))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v - 21*f + 25*f - 20, -4*f = -12 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 3*h**2 + 3*h - 10. Let r be s(-3). Let d(c) = -c**2 + 11*c - 24. Let v be d(r). Solve q + 2*q = v for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5 - -1) + -5 - 26\/(-2). Suppose 0 = 3*o + n - 20. Solve 0 = -w + 2*i - 13, w + i + o*i - 12 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2026 + 1?\nAnswer: 2027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(39)\/(sqrt(12)\/sqrt(4)) + -3 + sqrt(325) + sqrt(13) + 4.\nAnswer: 1 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -316*j**2\/5 - 11871*j\/5 - 2948\/5.\nAnswer: -(4*j + 1)*(79*j + 2948)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4210\/13 + 3717443\/11479. Which is bigger: 0 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h**2 - 8944617*h. Let r(z) = z**2. Give x(r(m)).\nAnswer: 3*m**4 - 8944617*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38383485 to the nearest integer?\nAnswer: 6195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7350000 rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6350 and 1570?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3043.\nAnswer: 17, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -20*c**2. Let q(z) be the second derivative of -z**3\/6 + 37*z. What is a(q(r))?\nAnswer: -20*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c678c80 + -3?\nAnswer: -c678c83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of 1 - 21*c**2 - 5*c + 1 - 3. Is b(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.99 - -1.9. Let v = 24.91 - r. Let g = -24.9978 + v. What is g rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112652538?\nAnswer: 2, 3, 18775423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 13096148 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -122854, -245710, -368566, -491422?\nAnswer: -614278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence akka when four letters picked without replacement from {a: 12, k: 7}?\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -216256, -9, -1\/3?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 3*r = 27387, 3246*f = 3248*f + 3*r - 10953. What is the highest common factor of f and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 3*b**2\/5 + 2064504*b\/5 - 2064507\/5 = 0?\nAnswer: -688169, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 25*i + 8*i - 20*i)*(1 - i - 1)*(-7*i + 6*i + 10*i) to the form k + j*i**2 + p*i + l*i**3 and give l.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of -2\/3*g**3 - g**2 + 4*g + 2. Factor f(a).\nAnswer: -2*(a - 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/3 (b) -5\/4 (c) 1\/3 (d) 6\/1679 (e) 1\/28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 415262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/15 + (-32)\/6. Let d be -1*(n\/1 + 2). Let m(h) = h + 3 + h**2 + h**d - h**2 + 4*h**2 - 5*h. Give m(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -2*b + 1. Let p be b\/((-1)\/(-1)) - 0. Suppose 0 = -5*h + p + 4. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/(p*(p\/(p\/((p*p*p**2*p)\/p)))\/p)))**(-50)\/(p*p**1\/p)**(-1\/15))**(3\/7) assuming p is positive.\nAnswer: p**(-2999\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 2 - 1)*(4*n + 0*n - 5*n) + 0*n + 2*n + 2*n)*(516*n**2 + 431*n**2 + 335*n**2).\nAnswer: 3846*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2\/3, -1, 2, -3.8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -765*y**6 - 4*y**2 + 2*y**3 + 2*y**2 + 1089*y**6 - 2*y**3 + 209 wrt y.\nAnswer: 38880*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5649 + 6*s - 21*s - 11*s**2 - 5649 + 13*s**2.\nAnswer: 2*s**2 - 15*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/5 (b) -935 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -111838 take away -1.13?\nAnswer: -111836.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 7 = -0*b. Let t = -12437\/1596 - -17\/399. Which is greater: b or t?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**8)**41 assuming k is positive.\nAnswer: k**328","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -1, 111, 9085.\nAnswer: -4, -1, 0, 111, 9085","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6 + 2 - (3 + 0). Let l = 2 + -4. Let q be (3\/y)\/(l\/(-10)). Solve 4*m - 15 + q = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqtivgtgqg. What is prob of sequence vt?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4018997 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*r**3 - 719 + r**4 + 719 + (2 - 2 - 2)*(5*r + 10*r**4 - 5*r) + r**3 - r**3 - r**4.\nAnswer: -20*r**4 - 8*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 g when two letters picked without replacement from xxxxxugggxxxguxu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2*s = 39, -4*s - 33 = -3*k - 12. What is the remainder when 76 is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 829102 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: b\"What is the oth term of 1013, 990, 959, 920, 873?\n\"Answer: -4*o**2 - 11*o + 1028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36 + -34. Put y, 4, 1 in ascending order.\nAnswer: 1, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 416294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3155\/7 + 452. Let h = -43\/28 + l. Put h, 2\/11, 4 in decreasing order.\nAnswer: 4, 2\/11, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**2 + 54*r - 328. Let h(t) = 8*t - 17. What is h(g(q))?\nAnswer: 16*q**2 + 432*q - 2641","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85171*l - 3*l**3 + 85192*l - 170363*l.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -195 - -76. Let w(q) = 140*q. Let z(u) = -32*u + 0*u + 25*u. Determine f*z(t) - 6*w(t).\nAnswer: -7*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 + 7*u + 8. What is the remainder when 12 is divided by n(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -76*q - 76*q + 3*q**2 + 159*q - 2*q**4 + q**3 to the form b*q**4 + n + v*q**3 + c*q**2 + o*q and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77713729?\nAnswer: 77713729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 (base 11) in base 15?\nAnswer: -3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7026 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12371 and 8757?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-3 + -1 + 2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 533784.7 days to minutes.\nAnswer: 768649968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - n - 3*n)*((-3 + 2 + 2)*(3 + 1 - 5) + 295 - 587 + 303).\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 288 = -88. Let l be 2\/(32\/(-15) - -2). Calculate the common denominator of -23\/8 and (26\/(-24))\/(l\/j).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.509697 + 5.51. Round x to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 758*m**2 + 1450*m**3 - 758*m**2 - 1449*m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 1.6 (c) 8 (d) -594\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 34398 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 4*q - 21. Let c(d) = -4*d + 18. Calculate 4*c(f) + 3*t(f).\nAnswer: -4*f + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14441 + -13369. What is the greatest common divisor of 5092 and g?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3970 = -2*a - 0*a. Suppose -6*n = -n - a. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -794287, -794288, -794291, -794296, -794303, -794312, -794323?\n\"Answer: -m**2 + 2*m - 794288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*20\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/7? (a) 0 (b) -9\/5 (c) -1\/3 (d) -3 (e) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 - 2*x - 2. Suppose 4*t + 470 = -142. Let b(z) = 24*z**2 - 51*z - 51. What is t*h(d) + 6*b(d)?\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3*t + 11158 = 0, -4*t + 11446 + 44325 = 5*q. What are the prime factors of q?\nAnswer: 5, 23, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 6*f. Let g(s) = 58*s**2. Give v(g(h)).\nAnswer: 348*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -2\/45, 0.3.\nAnswer: -2\/45, 2\/7, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 1. Let n(d) = 4*d - 36. Let z be n(12). Solve m = 2*r + z - 2 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -180928 greater than or equal to -180930?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -28.629 + -99271\nAnswer: -99299.629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162)*-1*-3)\/(sqrt(324)*-1 - sqrt(9)))\/(-5*sqrt(900)*-1 - sqrt(900)*-1*-1).\nAnswer: -3*sqrt(2)\/280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -4140550 < -4140551?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 2) in base 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25871 + -14593. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**2 - 2*h + 2*h + 111 - 111 + 6*h**2 + 0*h - h**2 + 0*h + (h**2 + 4*h**2 - 3*h**2)*(2 - 7 + 3) + 2*h - 2*h + h**2.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(-3*y + 2*y - y) - 5*y + 3*y + 0*y - 170*y - 74 + 60 + 182*y.\nAnswer: 8*y - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 + 18*s + 16. Let b be n(-17). Let f be (b - (-28)\/(-12))*15. What is f rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 86494397?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 0*o - 22 = -w, 322*o + 0 = 5*w - 117 - 300 for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ulz when three letters picked without replacement from zlujzzzjju.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -434 + 727. Let s(n) = 2*n**3 + n. Let t be s(1). Suppose -t*d + k = -3*r + r, 89 = d - 5*r. Calculate the highest common divisor of d and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/26 + (-30)\/(-26))*5. Suppose r - 5*b = -3*r + 6, -r - j*b = -14. Solve 4*o - 24 = -4*w, 4*o + r*w + w - 27 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 1. Let x be (11 - 10) + (5 - o). What is the derivative of -3*z + x*z + z - 8 + 2 wrt z?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13609247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of -p**4\/30 - 39*p**3\/5 - 46*p**2 - 1113*p. Factor z(t).\nAnswer: -2*(t + 2)*(t + 115)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 - 2. Let a be x(-2). Let d(w) = w**a - w**2 + 2*w**2. Let j(i) = 2*i**2 + 0*i**2 - 4*i**2. Determine j(d(s)).\nAnswer: -8*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1141 + 1138. Let t(d) = 7*d - 7. Give t(k).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1826 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -5*g**5\/6 + 20*g**4\/3 + 5*g**3 - 140*g**2\/3 + 335*g\/6 - 20 = 0.\nAnswer: -3, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2 - (-21933)\/(-2))*(-17 + (6 - -5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1287 or -5147\/4?\nAnswer: -1287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of -d**4\/6 - 3*d**2 - 2*d. Let j(a) be the third derivative of -a**5\/15 - 13*a**3\/6 - 5*a**2. Give 6*j(f) - 13*x(f).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g + 6. Let j be o(0). Let s be ((-3)\/j*-6)\/(-5). What is the second smallest value in -3, 2\/3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 v when three letters picked without replacement from vvwfn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2*p - 101 = 0, 3*o - 3*p = -31 + 97. Let l = o + -18. Let c be (-2)\/(-2*(-7)\/(-2)). Is c > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 130*t - 17 + 55*t + 19*t + 38*t. Is n(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15.6 - 15.5. Let p = 1 - 0.99. Put p, n, 1 in decreasing order.\nAnswer: 1, n, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 975?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 93 + -89. Solve -b - s - 1 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1771 - -1771.4. Which is the fifth smallest value? (a) -1 (b) -0.3 (c) y (d) -0.05 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 + 9*h + 3. Calculate m(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(192)*2 + -1 - ((-1*sqrt(192) - sqrt(192)) + 1) - (-2 + (-5*(0 + sqrt(192)) - sqrt(192)) + sqrt(192))))**2.\nAnswer: 388800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -2331, -0.2, 0.089, 2 in ascending order.\nAnswer: -2331, -0.2, 0.089, 3\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-288)\/(-216)*(-27)\/2. Sort m, 4, -5 in descending order.\nAnswer: 4, -5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.44 - -0.64. Let v = 81 - 487\/6. Which is the biggest value? (a) v (b) j (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/3457164 and -53\/2056?\nAnswer: 6914328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109639.\nAnswer: 109639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 21059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -35*f - 2350. Let o(b) = 19*b + 1179. Give -11*o(t) - 6*z(t).\nAnswer: t + 1131","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 9*k**3 - 1. Let s be p(1). Suppose -s*q + 2965 = -34635. Round q to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, 1\/8, -6\/13, 1\/2, 2\/5 in increasing order.\nAnswer: -6\/13, 1\/8, 2\/5, 1\/2, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 1)*(-2*a + 2*a - 8*a)*(5 - 5 - 2*a**2).\nAnswer: 32*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 37, 60, 83, 106?\n\"Answer: 23*z + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 843952 is divided by 2192?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*(-25)\/(-15) + 22. Calculate the greatest common factor of 136 and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/2372 and 131\/1236.\nAnswer: 732948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -99492936*h**2*q + 338619*h*q - 5*q wrt h.\nAnswer: -198985872*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 0*z**4 - 2*z**3 + 0*z**3 + z**4 + z**3 to the form h*z**4 + s*z**3 + c + r*z + l*z**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -66 (base 11) to base 3.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 235?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -6, 31, 96, 201, 358?\n\"Answer: 2*w**3 + 2*w**2 + 17*w - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44 and 7244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 0 + 3*n + 4 + n. What is the tens digit of j(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-446)\/(-32335) + (-67884)\/1740\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 8\/3 (b) 1\/4 (c) 2\/17 (d) -25 (e) 1\/8 (f) 57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -48368*o*z**2 + 199551*z**2 wrt o?\nAnswer: -48368*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 - -26. Suppose 3*i - g = -v + 3, -9 = -3*i + 3*v. Find the first derivative of 33*s**3 - 3 - 25*s**3 - i*s + 3*s wrt s.\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1434 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*f + 2*b = -34*f - 4, 4*f - 6 = 3*b for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -269\/6 - -45. Suppose -2*j + 64 = 2*j. Let k = 13 - j. Sort k, r, 3 in descending order.\nAnswer: 3, r, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 528636673 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5\/8, 7\/2, -3, -5, -4?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k**2 - 104*k - 753. What is h(-43)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -73*y**4\/12 + 18*y**3 - 22*y + 130. Let n(s) be the first derivative of v(s). What is the second derivative of n(l) wrt l?\nAnswer: -146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2477 - 3235 = -7*w. Suppose 6*k - 3*k - w = 0. Is k a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1520769778?\nAnswer: 2, 11, 69125899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 433\/3170013 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/9 - 1016*j\/3 - 3050\/9.\nAnswer: 2*(j - 1525)*(j + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 - 1.3. Let q = -0.1 - -0.2. Suppose 24 = -2*r - 3*r + 3*g, -2*g + 9 = -r. Which is the nearest to o? (a) -4\/7 (b) r (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18595*d**3*o**2 + 919*d**3*o - 4*d**3 - d**2*o wrt o?\nAnswer: -37190*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -3*y**2 + 2*y. Let b(a) = -12*a - 10*a + 23*a - 3*a. What is j(b(o))?\nAnswer: -12*o**2 - 4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 12:16 AM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - s - 402 = 0, -4*s + 3*s + 4 = 0. Let h = c - -423. Is h a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 88c309b + 8?\nAnswer: 88c30a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 115*a**2 + 5*a - 1. Let d(c) = 58*c**2 + 3*c - 1. Determine -5*d(n) + 3*f(n).\nAnswer: 55*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 3) + (-2 - -8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -476 - -479. Let c(t) = t**3 - 3*t**2 - 5*t + 4. Determine c(l).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4.2? (a) -3\/7 (b) 0.2 (c) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(76) + 4*((sqrt(76) - -1*sqrt(76)) + sqrt(76) - sqrt(76))**2 + ((sqrt(76) - (-1 + sqrt(76)))**2 - sqrt(76))*-6 + -5.\nAnswer: 14*sqrt(19) + 1210","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2 - y**3 - y**3 - 6*y + y**3 + 0*y**2 - 5*y**2. Suppose 0 = -5*q + 4*q - 4. Give u(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*k + 3 = g, 2*g - 3 = 3*k. Let y = -3 + -2. Sort k, y, 5 in descending order.\nAnswer: 5, k, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 4, 1, -10 in increasing order.\nAnswer: -10, -3, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, v: 3}. What is prob of picking 2 j?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aapx when four letters picked without replacement from {a: 5, p: 3, x: 6, r: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x + 2. Suppose 3*o = 6*o - 0*o. What is m(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 3*x + 85 + 149 = 0, -5*g + 213 = 4*x. Let w be 70\/g - 2\/9. Let v be 0*4\/(-8)*1. Is w > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -49*t**2 + 977*t - 56. Let q(d) = 26*d**2 - 489*d + 28. Let w(y) = 14*q(y) + 6*u(y). Suppose w(o) = 0. What is o?\nAnswer: 2\/35, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9314 times -236\nAnswer: 2198104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -14*o**3 - 2*o**2 - 256*o + 17. Let h(n) = -5*n**3 - n**2 - 86*n + 6. Calculate -3*f(u) + 8*h(u).\nAnswer: 2*u**3 - 2*u**2 + 80*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 344834 (base 10) in base 6?\nAnswer: 11220242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -6*g + 2. Let h(f) = 5*f - 1. Let q(t) = 4*h(t) + 3*m(t). Let u(k) = k**2 - 12*k + 30. Let v be u(7). Calculate q(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*m - 29*m + 21. Suppose -z - 2 - 10 = 4*k, -2*z + m = -k. Suppose -11*v + z*v = -336. Does 4 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + 6)*-2 + -9 + 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than 6547?\nAnswer: 6551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4172432 or -0.41?\nAnswer: -4172432","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21.9272 - 0.0272. Let l = -3.8 - g. Let u = 26 + l. Which is the nearest to -2? (a) 5 (b) -1\/3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/15*2500\/400?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24560 and 880?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/2600100 and 17\/34668.\nAnswer: 2600100","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Is 11973697 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-8))\/(272 - 251)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l + 9. Let i be w(-5). Let b = -2 + i. Let s be 2 - 1 - 2 - -4. Which is bigger: s or b?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p + 0*p + 2*p)*(9 + 3 + 1)*(-4*p**2 - 4*p**3 + 3*p**2 + p**3).\nAnswer: -195*p**4 - 65*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 - 11*c + 4. Determine o(5).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1920\/(-74) + 12 + 18\/(-333)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7.3 + 7. Let p = -33 + 39. Sort a, -2, p in descending order.\nAnswer: p, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1380 is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 + i + 2. Let r(v) = 5. Let s(k) = -9. Let m be (1*2)\/((-9)\/(-54)) + -2. Let u = m + -3. Let q(h) = u*r(h) + 4*s(h). Calculate 4*q(x) + 2*z(x).\nAnswer: 2*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 225043.\nAnswer: 7, 13, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (280\/12)\/5*(22\/(-110))\/(8\/10)?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19170 and 77106.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8\/7? (a) -2 (b) 14.4219 (c) 0.2 (d) -0.5 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29119315, -29119317, -29119319?\nAnswer: -29119321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22.5 + -22. Which is smaller: q or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38639933 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -5*o + 5*b + 25, 0 = o - 4*b - 5. Let h(a) = -5*a - 6*a**2 - 39 + 32 + 7*a**2. Calculate h(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -145*f + 3 - 173*f + 265*f to the form k*f + u and give k.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189924*u - 17171 = 190147*u for u.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 445289*v + 4*v**2 - 18*v**2 - 222645*v - 222644*v.\nAnswer: -14*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 67*c**5*h*y + 424480*c**3*h*y + 63*c**2*h*y + 32691*c**2 + 3 wrt c.\nAnswer: 4020*c**2*h*y + 2546880*h*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6262919 and 4.\nAnswer: 25051676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of -121*k**4\/48 + 11*k**3\/4 - 9*k**2\/8 - 37*k. Factor h(p).\nAnswer: -(11*p - 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116 = -c - 74. Calculate the smallest common multiple of c and 48.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 8:02 PM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14846 + 14846 - 2*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6 - 625*(4 + (-66)\/15). Let k(v) = 2*v**2 - 8*v. Let z be k(8). What is the greatest common factor of j and z?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fnfffnffffffnfff. What is prob of picking 4 f?\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 83*l + 401. What is p(-2)?\nAnswer: 235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p - 2*p + 5*p + (-4 + 2 + 1)*(p + 0*p - 3*p) - 23*p - 2*p + 3*p in the form v + y*p and give y.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/5*y**2 - 291\/5*y + 1116\/5.\nAnswer: 3*(y - 93)*(y - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2*j - 92 = 5*x, -3*j + 6 = 0. What is the lowest common multiple of -2*(3\/(-5) + 18\/x) and 35?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 727459?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 322737027?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*y - 105 - 84 = 0. Let z = 45 - 44. Suppose l + z = -1. What is the second biggest value in 3, y, l, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38*h + 69*h**4 + 2 + 72*h - 107*h)*(2 - 3 - 3).\nAnswer: -276*h**4 - 12*h - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-45)\/36*4)\/(2\/2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 8\/41, -18 in descending order.\nAnswer: 8\/41, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32*o**5 - 89*o**4 - 704934*o wrt o.\nAnswer: -640*o**3 - 1068*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 9*k - 67 = i, -4*k + 3*i + 47 = 0. Calculate the highest common factor of k and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -39 + -5 + 63?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: 1580*-1.5\nAnswer: -2370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - 4. Let s be 10\/75 + (-204)\/(-495). Let y = -0.1469 - 0.3531. Which is the closest to 1? (a) s (b) l (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-48) - 7\/42\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*h + 14 - 34 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13764*s + 86 + s**2 - 13752*s + 195.\nAnswer: s**2 + 12*s + 281","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -14478 times 0.11\nAnswer: -1592.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 - 20 + 5 - 2*b + b + 92.\nAnswer: -b + 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 31.60757 to 2 dps.\nAnswer: 31.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -149, -47, -8, 4, -2\/29, 0 in increasing order.\nAnswer: -149, -47, -8, -2\/29, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 778*a*o**3 + 3*a*o - 4082*o**3 + 2 with respect to a.\nAnswer: 778*o**3 + 3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 498528 and 1944.\nAnswer: 4486752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -1100432?\nAnswer: -1100434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l - 17. Let v(n) = n + 18. Let p(z) = 3*o(z) + 4*v(z). Let r be p(9). Suppose 5*x = 4*y - 74, y + 0*x + r*x = 10. Does 4 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, a: 1, q: 6, v: 1, t: 5}. What is prob of sequence tv?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 55798507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -765 = -261*c + 306*c for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 920.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -52 + -25 + 37 - (-2 + 9 + 0)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {f: 15, t: 5}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 2 - (-5 - 1) - 9?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-232)\/38 + (-144)\/(-1368)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -12. Let i be 6\/(-21) + -1 + 1. Which is greater: r or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32320\/(-606) - 88\/12*18\/36.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.8533 and -90.\nAnswer: 166.797","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5274 and 12809374.\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -9 + -5 + -18 + 28\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 759472 by 108496.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 8) in base 4?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39)\/26*12\/81*(-9)\/6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -32?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 4*r = 424. Let g = -853 + 1051. Suppose 5*t = r + g. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188*t - 290*t = -478 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a + 5. Let h(m) = -m - 1. Let i be h(-3). Let q(k) = -k + 4. Let g(l) = i*q(l) - 3*u(l). Let d = 52996 - 52990. What is g(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 10 = 4*m, 15*b = -2*m + 13*b - 10. Determine r so that 0*r + 0*r**2 + m - 4\/5*r**3 - 2*r**4 = 0.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of 1\/60*a**5 - 1\/120*a**6 - 1\/24*a**4 - a**2 - 2\/3*a**3 + 0*a + 0. Let g be 0\/(-3*(2 + 4\/(-4))). Give t(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.19 - -0.29. Sort 0.5, 6, t.\nAnswer: t, 0.5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10469*n + 5235*n + 5245*n = 297 + 682 for n.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 12*f**2 + f - 6. Calculate the remainder when j(12) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 w, and 1 l when three letters picked without replacement from nndygndywlnnwdnynn.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -31, -122, -273, -484, -755, -1086, -1477?\n\"Answer: -30*m**2 - m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5713*h**3 - 5327*h**3 + 10980*h**3.\nAnswer: -60*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, 8, -1.\nAnswer: -1, 8, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -1 (c) 2\/349 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 241 divide 914351349?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -44 + 93\/2. Let k = 0 - 0.2. Sort 2\/7, t, k.\nAnswer: k, 2\/7, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 178 and 2581?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + 6*h**2 + 8*h - 4. Let r be m(7). Suppose -r*x = c - 15, 2*x + 2*c - 6*c = 24. Let o be 6\/9 + (-34)\/x. Sort -1, 5, o.\nAnswer: o, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1119141.4 to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**3 - 3*j**3 + 3274 - 6102 + 2828.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 344353106?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -103 (base 7) in base 2?\nAnswer: -110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -5\/231, 9, -0.1, -1\/8?\nAnswer: -5\/231","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 18*n**2 + 9*n - 18. Let t be w(8). Let r = 683 + t. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 28 = -x, 5*i - 50 - 27 = -x. Let s = i - 59\/4. Sort s, 4, -3 in ascending order.\nAnswer: -3, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2515 a multiple of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a gram in milligrams?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -69 times 883.8\nAnswer: -60982.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 78543456?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 34406.64 rounded to the nearest 100?\nAnswer: 34400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8327 (b) 3 (c) -13 (d) -0.26 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 4610 and 7219.\nAnswer: 11829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 506848 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 300822 less than 171251?\nAnswer: -129571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 4*u = -6*u + 32, -2*u - 8 = -p. Let i be (10\/4)\/(2\/4). Let q = p - i. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8416226 to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -5*k. Let q be g(0). Let w(o) be the second derivative of 0*o**4 + 1\/20*o**5 - 2*o**2 + 3*o + q*o**3 + 0. Differentiate w(n) wrt n.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/((t**(-1\/2)\/t)\/t*t)*t\/(t**(-2\/3)*t))**42\/(t*t**2*t**8)**(-21) assuming t is positive.\nAnswer: t**406","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 3*q**5 - 21*q - 2*q + 20*q + 2*q**2 + (3*q**5 + 4*q**5 - q**5)*(3 - 2 + 1) - q**5 - 4*q**5 + q**5 + q**5 - 3*q**5 + q**5.\nAnswer: 10*q**5 + 2*q**2 - 3*q + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 72324 a multiple of 1476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -504*b - 74732 = 185*b - 2887*b for b.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/11 (b) 0.3 (c) -3 (d) 4.36 (e) -5 (f) 1 (g) 104.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 3518596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -25 + 6159?\nAnswer: 6134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 480?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 628 is divided by 128.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33949634.\nAnswer: 2, 16974817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 2*c**2 + (c - 3*c + c)*(c - 1 + 1) + 108*c**2 - 36*c**2 + 31*c**2 - c**2 + 2*c**2 + 0*c**2 + (1 + 2*c - 1)*(3 - 2*c - 3).\nAnswer: 97*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q = 8 + 22 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 5 = -3. Let s be ((-2)\/3)\/(g\/(-6)). Let j = 6 + s. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 112, 206, 390, 682, 1100, 1662, 2386?\nAnswer: 3290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 4, -3, 1.\nAnswer: -4, -3, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 5*d**2 - 4. Let j be o(0). Let g be -6 - (j - -3) - -10. Solve -g*n + 3 = 18 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13786195 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 327\/7 or -7?\nAnswer: 327\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -4492277?\nAnswer: -898455.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 - 19. Suppose 7*p - 45 + 115 = 0. Let l be (-25)\/p*-1 - -2. Which is the nearest to o? (a) l (b) -3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -3*t**3 - 2*t**2 - 2*t + 9. Let w be c(-5). Let b be 1*-2 - 8\/8. Calculate the common denominator of 23\/10 and b\/(-9) - w\/132.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/((-864)\/24))\/((-1)\/(-4)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -238*c + 1165 + 714*c + 990*c.\nAnswer: 1466*c + 1165","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23037 is divided by 7587?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of -1615*d**3\/6 - 15*d**2\/2 - 49*d - 3. What is the derivative of f(n) wrt n?\nAnswer: -1615","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 5785.\nAnswer: 6\/5785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 5*w + 6, -4*w + 9*w = -3*n + 18. Solve 0 = n*i - 3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38518 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -10 times -3752481\nAnswer: 37524810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) + sqrt(325) + sqrt(325) + (-2*sqrt(325))**2 + sqrt(325) + -2)*6*-6.\nAnswer: -46728 - 720*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 33007024415 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -100036, -400370, -900922, -1601686, -2502656?\nAnswer: -3603826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -0.77214?\nAnswer: -3.8607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44468.6998, -1, -3\/5 in increasing order.\nAnswer: -44468.6998, -1, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7457 + -7816. Which is the third biggest value? (a) 0.4 (b) -1\/5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**2 + 141 - 260*c - 66 - 160 - 10*c**2.\nAnswer: -5*(c + 17)*(3*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -839000 rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-4 + (-2)\/(20\/(-55))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29.08193 micrometers to nanometers.\nAnswer: 29081.93","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 + -19357.971.\nAnswer: -19396.971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 47*d**2 + 22*d + 43. What is z(-2)?\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44680.\nAnswer: 2, 5, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8653?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 444*f**3 + 445*f**3 - 881*f**3.\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -7*s**2 + 117*s + 19. Let k be j(15). Solve 187 - k = -3*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 241161566 is divided by 8255?\nAnswer: 8251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3127 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1\/8 (b) 0.5 (c) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(1 - 1\/2). Let h(b) = b**3 - 2*b**2 - 3*b + 3. Let d be h(x). Put 4, 2, d in descending order.\nAnswer: 4, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 531\/413*(170\/10 + -18).\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a**2 + 15*a + 2. Calculate the lowest common multiple of g(-6) and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6507\/10 - 116371\/180. What is the common denominator of c and 65\/6?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -11, 3, 5, -930 in ascending order.\nAnswer: -930, -23, -11, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/9? (a) 158\/9 (b) 0.5 (c) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of -16*l**4 + 66*l**2 + 117*l - 123. Let u(m) be the first derivative of t(m). What is the first derivative of u(f) wrt f?\nAnswer: -384*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-4) + (-45)\/(-10). Suppose 0 = x*l - 0*l - 40. Solve l = 3*m - 5*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8129, 8127, 8121, 8111, 8097, 8079?\n\"Answer: -2*q**2 + 4*q + 8127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -720 (base 14) to base 8\nAnswer: -2570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0613137627 - -5.\nAnswer: 4.9386862373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + -18 + -7 + -16 + 4 + 4 + 26.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -411968 or -411897?\nAnswer: -411897","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, -0.5, -2\/5, 0.047, 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - 51*m**2 + 88*m + 849. Let x be g(-52). Are x and -1016 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95773 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 88?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v\/v**11)))**(-1\/16)*v**(-3\/17)\/(v*v**(-12)) assuming v is positive.\nAnswer: v**(1557\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 217 and 114989.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-5 + 10) - (-3 - (3 - 14) - 9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 8 = -5*x. Let u(c) = c**3 - 3*c + 1. Let q be u(x). What is the second derivative of h**3 + 4*h + 2*h - q*h wrt h?\nAnswer: 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -65 divided by -3188615\nAnswer: 13\/637723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6456 is divided by 518.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 725 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 (base 10) in base 11?\nAnswer: a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1739\/6 + 290. Suppose -3 = 4*q - d, -q + 2*d = 4 - 5. What is the fourth biggest value in s, 0.3, q, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of t**4\/12 - 4*t**3\/3 + 2*t**2. Let r be u(4). Suppose -26 = q - 26. Solve r = -i - 5*c + 18, 0 = 5*i - 5*c - q*c for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1384 + 3120?\nAnswer: 1625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 PM and 12:39 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 38451\/(-3234) - -11 - (-20 + 1776\/88)\nAnswer: -15\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(31*(-36)\/4464*3\/((-36)\/40))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40 + 99. Suppose x*k = 62*k - 48. Calculate the least common multiple of 26 and k.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2226529 - -5.\nAnswer: 2226534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 15*t + 25. Determine b(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -84 + 31. Let v = g + 55. Suppose z + v*z = 54. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10734721 to the power of 1\/3, to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 45 (b) -3\/17 (c) -1\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/13 (b) 0.4 (c) -143 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-4)*22\/(-165).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 485541 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -2*b + 4*r, 1776 = -5*b + 2*r + 1807 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2c660 (base 14) in base 6?\nAnswer: 2213552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7404*p**2*r + 2*p**2 + p*r - 2*p - 945*r wrt p.\nAnswer: 14808*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 41551 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -98529, -98534, -98539, -98544, -98549, -98554?\nAnswer: -98559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -5, -1, -7 in increasing order.\nAnswer: -7, -5, -1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnynfnfnnfybbnnyy. What is prob of sequence fnyf?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*t**2 + 0*t**2 - 8*t**2 + 2*t**2 as r*t + b + x*t**2 and give x.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/3*(-3)\/(-2). Let i be (524 + 6)*2\/j. Suppose 3*k = 2*n + 248, -5*k + 2*n = -200 - i. Is 18 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - z - 264, -m - 5*z = -0*z - 66. Let y be 174\/2*m\/(-10). Let l = y - -572. Calculate the common denominator of l and 49\/54.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yjj when three letters picked without replacement from yyjjjjjyyjjyyjyj.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-2*(sqrt(204)*1 - sqrt(204))\/sqrt(12))**2 + (4*(sqrt(119)\/sqrt(7) + sqrt(17)))**2 + (sqrt(68) + sqrt(68) + 2)**2.\nAnswer: 16*sqrt(17) + 1363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -5*v**4 - 62*v**3\/3 - 4*v**2 + 15. Let q(b) = -8*b**3 - 25*b**2 - 3*b. Let m(i) = 5*a(i) - 12*q(i). What is l in m(l) = 0?\nAnswer: -2, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69890?\nAnswer: 2, 5, 29, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 9, 4*f + 327 = -5*u - 0*u. Let p = -30 - f. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*l - 155*l + 1305395. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 2526?\nAnswer: 7578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -180683\/3555 + -113\/395. Which is smaller: -50 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9549 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/3974499 and 68\/123.\nAnswer: 3974499","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence omy when three letters picked without replacement from msoyookymoosk.\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/((f\/f**1)\/f))**48*(f*f*f**(2\/7))**(-19))**(-21))**(6\/7) assuming f is positive.\nAnswer: f**(-6624\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 260809014216 from 0.4.\nAnswer: -260809014215.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -379, -745, -1111?\n\"Answer: -366*v - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 45556376*x**3 - 24389*x - 560.\nAnswer: 273338256*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 169686 divided by 66?\nAnswer: 2571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 - 34 = 4*c. What is the greatest common factor of 40 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32313169, 64626370, 96939571?\nAnswer: 129252772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 59569152 to the nearest integer?\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38 - -44. Which is bigger: -0.1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 3*a + 2*a - 5*a - 5*a**2. Let u(v) = 7*v**2. Calculate x(u(p)).\nAnswer: -245*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + 6207*(-4)\/(-660). Let f = y - 184\/5. Find the common denominator of f and (-2 + 4)*87\/(-20).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000089621021 to six decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**0*d)\/d**5*(d**(-1))**(-9)*((d*d**0)**(-1\/7))**(2\/9) assuming d is positive.\nAnswer: d**(376\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4*(-2 + 115\/50). What is the closest to 2 in b, -3, -0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6 + (1*-4 - -2). Suppose 4*w + 20 = -2*g - g, 2*w = -2*g - 10. Suppose g = 5*a - d*a. Solve -3*c + 2*t = -11, a = c - 4*c - 3*t - 9 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 57.4 + -57.4. Let h = 0.07 - 0.57. Sort 3\/7, -2\/297, d, h in ascending order.\nAnswer: h, -2\/297, d, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of 1\/2*d**3 + 11*d + 1\/20*d**5 - 3\/4*d**4 + 9\/2*d**2 + 0. Is 9 a factor of l(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8920 divided by 45\nAnswer: -1784\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**2 - 4*w + 129. Give v(-7).\nAnswer: 255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -65 in 4, -9\/13924, -0.3, -1.7?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4*(4 - 5) + 10. Suppose -3*v + 0*v + 2*n = -d, -4*v + 2*n + 8 = 0. Solve g - 1 = v*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*p**2 - 31*p**2 + 172*p**2 - 43*p**2 - 33*p**2 - 37*p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1247981410 a multiple of 3970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-6)*(-177)\/(-826)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 111211323 (base 4) in base 16?\nAnswer: 1597b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 834?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 36 = 7*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.43385 to the nearest integer.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 12:16 PM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 15850 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 13 - 9\/(36\/(-8)). Calculate the greatest common divisor of 135 and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1787034 is divided by 48.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(153)*2)\/sqrt(9))**2 - (0 + sqrt(153) + (sqrt(1377) + 1 - sqrt(1377))).\nAnswer: -3*sqrt(17) + 1087","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k = -15*k. Suppose 2*l + 2*f - 18 = k, 0*f + 31 = 3*l + 4*f. Solve 0 = 5*s - 4*r - 23, 3*s - 22 = -s + l*r for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*u + 124 - 124)*(2 + 1 - 5)*(0 - 1 + 0).\nAnswer: 64*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 450405456 divided by 3184\nAnswer: 141459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 698 = -5*p - 588, 5*k = -p + 1622. Calculate the highest common divisor of k and 270.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1330 - 730. Suppose 4*u - s = p + p, -4*p + 724 = 5*u. Suppose 0 = -3*y + u - 31. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 200632*n**2. Let j(z) = -1967*z. Determine o(j(f)).\nAnswer: 776263064248*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/2*0\/3. Suppose s = h + 5*i + 6, 3*i + 4 = h - 2*h. Put 2, 8, h in increasing order.\nAnswer: h, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10101111110110001 (base 2) to base 9\nAnswer: 146446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 3*p - 27 = 0, h + 3*p = 4*p - 11. Let r = h - -11. Let k be 5\/1 + 73 + -77. What is the highest common factor of r and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(40) + (sqrt(40) - sqrt(360))))\/(sqrt(80)\/sqrt(160)).\nAnswer: -24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1137 = -4*g + 5*j, 2*g - 2*j + 298 = -272. Find the common denominator of 37\/84 and -3 - (5 + 2094\/g).\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mj when two letters picked without replacement from jmjjjmmmmmjmjjmjjmjj?\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 653 = -2*h + 145, -4*h = 4. Let a = s - -213. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/3*b**4 - 2*b**3 + 0*b - 8\/3*b**2 + 0 = 0. What is b?\nAnswer: -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 260 + -200. Calculate the lowest common multiple of r and 48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 12*z**2 - 2*z - 9. Calculate t(-12).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 5*v. Suppose -13*f - f = 0. Let z(m) be the second derivative of 0*m**2 + 1\/6*m**3 + f + 7*m. Calculate l(z(u)).\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - b**2 - 2*b + 1. Let c(q) = -15*q**3 - 6*q**2 + 14*q - 4. Let n(f) = -7*a(f) - c(f). Find the third derivative of n(l) wrt l.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 120 * -1.\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1461*b + 944*b = 10857 for b.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1693*b + 41331 = -171*b - 8895 for b.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 71584, 71523, 71422, 71281, 71100?\n\"Answer: -20*c**2 - c + 71605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -807, -952, -1097, -1242, -1387?\n\"Answer: -145*f - 662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 181 - -174. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16326, 16232, 16138, 16044, 15950?\nAnswer: 15856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1329*u**2 + 17478?\nAnswer: -2658*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2166 divide 20046330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -19092 times 0.2?\nAnswer: -3818.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*-0.07.\nAnswer: 0.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 1189?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 10*h**2 + 151*h + 37. Give a(-15).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/7 (b) -3 (c) 4 (d) 0 (e) 26 (f) -0.031\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + -21 + 5 - 18.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/500*-5*(-5)\/6.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/677921 and -8\/9?\nAnswer: 6101289","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 5. Let s be (-2)\/3 + 16\/6. Let i be s\/(-4)*20\/35. What is the nearest to i in w, -0.1, 1\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, 9 in descending order.\nAnswer: 9, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -38*j + 68. Let s(z) = 10*z - 18. Let a(l) = -11*s(l) - 3*x(l). Determine a(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1325, -2116, -2907?\n\"Answer: -791*i - 534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39 and 3159.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 492876 is divided by 82144?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 30299967 divided by -12801?\nAnswer: -2367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 9*f - 26*f. Let u(d) = -43*d - 21. Let y(o) = -22*o - 10. Let v(z) = 6*u(z) - 11*y(z). Let b(k) = -3*k - 3. Determine f*v(l) + 22*b(l).\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**5 + z**3 + z**2. Let p(q) = q**5 + 2*q**3 + 2*q**2 - 4*q. Let k(s) = 2*h(s) - p(s). Find the second derivative of k(a) wrt a.\nAnswer: -60*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-20)*10\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 791365354?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4\/14 - ((-23245)\/7 - -14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 AM and 1:42 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**(1\/3)*w*(w**(-19)\/w)\/w assuming w is positive.\nAnswer: w**(-58\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -69, -437, -1391, -3225, -6233, -10709?\n\"Answer: -49*b**3 + b**2 - 28*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04761 * 17.795.\nAnswer: 0.84721995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97ac (base 14) to base 12.\nAnswer: 13210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 3*n + 20, -7 = 4*y + 5*n - 2. Suppose y*u = 9*u + 8. Let b be (9 + u)*48\/(-56). Let r(k) = -k**2 - 6*k - 6. Calculate r(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31\/((-77)\/41580*-60 - (-10)\/(-9))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - 13*g + 43. Let y be l(7). Let z(t) = -t. Let m(b) = -94*b + 127. Let a(q) = y*m(q) - 4*z(q). What is the first derivative of a(f) wrt f?\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 0 = 2*j - 7, 2*w - 2 = 2*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*r - 15*r**3 - 18*r**3 + r**3 - 28*r**2 - 12*r**4.\nAnswer: -4*r*(r + 1)**2*(3*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/64177 or 0?\nAnswer: -6\/64177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -76*g**2 - 114*g - 57. Suppose -2*r - 26 = 202. Let d(q) = -q**2 - 2*q - 1. Let v(x) = r*d(x) + 2*j(x). Let t(b) = 4*b. Determine t(v(k)).\nAnswer: -152*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4557903 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 = -0.40247 - -0.00247. Let j be (-10)\/(-3)*(-6)\/(-5). Let y be ((-6)\/26)\/((-6)\/j). Sort 2, c, y in increasing order.\nAnswer: c, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2271427663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of -c**4\/3 - 4*c**3\/3 - 2*c**2 + 8*c - 5. Let b(k) be the first derivative of h(k). Suppose b(a) = 0. What is a?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 79 - 1*6\/(-2). Calculate the common denominator of 4*6\/160*n and -21\/19.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*v + 0*v + 0 + 2 + 18*v.\nAnswer: -11*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of 5*x**3\/6 - 21*x**2 - 4*x - 1295. Suppose 0*h + 2*h = 18. Let u be b(h). Solve r - l = -u*l - 2, 0 = 5*r - 2*l + 10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6043?\nAnswer: 6043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5155 = -5*g + 6*w - w, -4124 = -4*g + 2*w. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**2*h)\/h**2*h*((h\/(h*h**(3\/7)\/h*h))\/h)\/h*h\/(h\/(h*((h*h\/h**6)\/h)\/h)*h))\/((h*h**(-2\/5))**(-9\/10)*((h\/h**1)\/h)**(9\/8)) assuming h is positive.\nAnswer: h**(-10869\/1400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 92.6 + -93. Suppose 3*l = -0*l - 2*d + 20, 0 = -2*l - 4*d + 24. Which is the second biggest value? (a) 1\/5 (b) l (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5059059 to the nearest integer?\nAnswer: 2249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1\/4)*f**(3\/5)*f*(f\/f**1)**(4\/5) assuming f is positive.\nAnswer: f**(27\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f*p**2*v + 12*f*p**2 - 2*f*p - f*v - 4*p**3 - 2*p**2*v - 387*p*v wrt p.\nAnswer: -2*f*v + 24*f - 24*p - 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*r + 5*r - 9. Calculate the remainder when 148\/3 - 6\/r is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 4:10 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 196 = 164. Let r = q + -77. Calculate the remainder when 73 is divided by r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1421744 and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3 = 0, -12 = -r - 3*g - 4. Let a = r - -9. Suppose 5*m - i = 130, 5*m + 2*i - 153 + a = 0. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + h - 20, -2*h - 154 = -a. Suppose 3*b = -b + a. Find the common denominator of (-15)\/b*(4 + 3) and -77\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*v**5 + 38*v**4 - 125*v**3 + 204*v + 26 wrt v.\nAnswer: -40*v**3 + 456*v**2 - 750*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 11293262 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 36225, 36233, 36255, 36297, 36365, 36465, 36603?\n\"Answer: q**3 + q**2 - 2*q + 36225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 6 = -4*p. Let f be (-3)\/(-2)*(p + 4). Solve 2*x = h, 0 = 3*x - f*h - 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -879, -875, -865, -849, -827, -799, -765?\nAnswer: -725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + v = 30. Suppose -14 = -2*g + 4*f, -2*g = -0*f + 2*f - 8. Let m(a) = a**3 - 2*a**2 - 12*a + 12. Calculate the remainder when m(g) is divided by v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*i**4\/17 + 4666*i**3\/17 - 27144*i**2\/17 - 8136*i\/17 = 0.\nAnswer: -339, -2\/7, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-3) + 16\/6. Suppose -g*t - 6 = -0*t. Let w be (-45)\/6*t*1. Solve -7 = b + l, -w = 5*b - 4*l - 7 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39707 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10 - 29246?\nAnswer: -29236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 1700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-120)\/90)\/((-12)\/27). Suppose 81 = 2*h + 25. Let j = h + -26. Solve -j*u - v = 1 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-54))\/((-15)\/315*-14).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -31121166 + 22?\nAnswer: -31121144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 - -15. Which is bigger: -4 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -47890 and -2.6.\nAnswer: -47892.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 5, -1\/7, -47\/4?\nAnswer: -47\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of -1\/30*v**6 + 0*v**3 - 1\/10*v**5 + 0*v**4 + 0*v + 2*v**2 + 0. Find the third derivative of o(d) wrt d.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 = -494265?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 10 = 4*u, 21*u + 617*p + 24 = 619*p. Let n = 1427 - 5675\/4. Is n less than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = -10*q + 7630. What is the highest common factor of q and 1776?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 PM and 5:01 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 52 - -3. Calculate the greatest common divisor of 5 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4112 + -4?\nAnswer: -4121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9\/(-36))\/((-7)\/8). Which is the biggest value? (a) f (b) 11 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 54\/(-21) - ((-492)\/77 + 124 + -117)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4172713 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/2, 49\/48, -3?\nAnswer: 49\/48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 + 35*y**2 - 49*y - 74. What are the prime factors of m(32)?\nAnswer: 2, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -846102 (base 10) to base 15\nAnswer: -11aa6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 898*b - 34355 + 34355 + (3*b + 3*b - 7*b)*(-1 + 4 - 1) as h*b + o and give h.\nAnswer: 896","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4 and -1.1984226105?\nAnswer: 2.8015773895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -153\/815 - 2\/163. Let l be 1\/5*6\/(-3). Let d(q) = q**2 - 11*q + 21. Let x be d(8). Which is the closest to l? (a) r (b) x (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - z + 9 = 0. Let l be (-1 + 0)*(-10 - z). Calculate the remainder when 17 is divided by 0 + 1 - l - -9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 5*g + 14. What is s(11)?\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + 222\/10)\/((-8)\/280). What is the hundreds digit of (8 + -8 + -1)\/(2\/h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11 and 0.2.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of -f**4\/2 + f**3\/3 - 9*f**2. Suppose 5*j - 20 = 0, -w - w - 2*j = 0. Is 10 a factor of k(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1440916 micrometers in centimeters?\nAnswer: 0.00001440916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7)\/(-154)*-4 - 40\/22. Let s = 2 + -1. Suppose q - s = 4*m + 2, -3*m = -4*q - 1. What is the nearest to 1 in m, p, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -151638*q**3*x**3 - 41*q**3*x - 3*q**2*x**2 + 233*q*x**2 wrt x?\nAnswer: -909828*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -150*g + 1580. Let i be p(9). Solve -70*s = -24*s - i for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28 - -29. Let n = 0.7 - 0.3. What is the second biggest value in 0.2, n, w?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 5, 680972, 3 in descending order.\nAnswer: 680972, 5, 3, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24380652?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - 2*b + b)*(b**2 - b + b) + (0*b - 4*b + 3*b)*(2*b + 4 - 4)*(-4*b + 2*b - 3*b).\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 517 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 111110 - 311040?\nAnswer: -144430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -22. Let j be (-70)\/(-12) - 2\/g. Solve -j = -3*y + 6 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/5 (b) -3 (c) 2\/175\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 39821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7201, 7441, 7839, 8395, 9109, 9981, 11011?\n\"Answer: 79*u**2 + 3*u + 7119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5*t = -4*h + 50, -h - 2*t + 13 = 0. List the prime factors of (14\/3)\/(10\/h).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/60*(-3 + 5). Factor f*c + 1\/5 - 1\/5*c**3 - 1\/5*c**2.\nAnswer: -(c - 1)*(c + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, i: 2, g: 2, j: 1, y: 2, n: 4}. Give prob of sequence jn.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (249\/(-6))\/((-5)\/10). Suppose 4*c - 3 = 5. Suppose p = c*n + 13. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15344\/(-329896) + (0 - 732\/(-946))\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*b**3*f*l - 35*b**3*l*w - 14*b**2*l - b*f**2*l*w + b*f**2*l + 6*b*l*w + b wrt w.\nAnswer: -35*b**3*l - b*f**2*l + 6*b*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 2*l. Let d be 0\/(l + (-2)\/1). Suppose -2*w + 11 = -4*s - 1, w - 5*s = d. Calculate the greatest common factor of 5 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10042314 (base 5) in base 4?\nAnswer: 103300333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 30.85?\nAnswer: -9.255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 94 = 2*t - 67, 4*a = 5*t + 102 for a.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 12*i - 2. Let m be f(2). Let o = -34 + m. Let t be ((-6)\/14)\/(18\/o). Which is the smallest value? (a) 4 (b) t (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -53\/6 - -25\/3. What is the nearest to -3\/4 in g, -15, 0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -1308*t - 5. Let x(d) = 3*d + 3. Calculate m(w) + 2*x(w).\nAnswer: -1302*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -317, -280, -217, -128, -13, 128?\nAnswer: 295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 17\/4 of a microgram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*j - 2*j**2 + 0*j - 11*j**2 + 10*j.\nAnswer: -13*j**2 - 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 - -25. Suppose 0 = -f*c + 2*g + 48, -4*g + 29 = 2*c - c. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*c**2 - 7*c**2 + 12*c**2)*(2*c + 4*c - 7*c)*(-5 - 1 + 3) to the form o + v*c + j*c**3 + n*c**2 and give j.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d**4 - 2*d**3 - 142*d**2 + 23916*d wrt d?\nAnswer: 24*d**2 - 12*d - 284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158805*o - 158815*o + 490 = 0. Solve o*z + 14 = 51*z for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -6*x + 51. Let n be g(12). Is ((-18)\/n)\/(2\/98) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3293*h = 3343*h + 650 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**3 + 155*l**2.\nAnswer: -5*l**2*(l - 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -3. Let q = 43\/20 - 12\/5. What is the closest to q in 1, j, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -299*l + 714 - 309 + 1688 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 5*b + 2. Let a(q) = -11*q - 5. Let i(t) = t + 17. Let o be i(-7). Let x = 14 - o. Determine x*a(j) + 9*p(j).\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*g - g. Suppose 0 = i + 5*t - 188, -g*t - t - 1056 = -5*i. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-4)\/(-24)*-12.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4099777.\nAnswer: 11, 372707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3*15\/(-9))\/((-28)\/(-2604)). Solve i = 16*j + 401 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52 (base 6) to base 10\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 10:33 PM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/(-14) - (-52)\/42. What is the nearest to a in -2, -3\/7, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 1565*i**3 + 2415*i + 4. Let k(x) = -7827*x**3 - 12066*x - 21. Let a(n) = 21*c(n) + 4*k(n). Find the second derivative of a(s) wrt s.\nAnswer: 9342*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*k - 98 + 63 = -60. Let r(d) = -d**2 + 6*d - 6. Let f be r(5). What is the nearest to 0.1 in k, -6, f?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138673 is divided by 1366.\nAnswer: 707","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.7? (a) 3 (b) -0.2 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-77)\/(-189) - 8\/108. Which is the closest to 7\/6? (a) -0.2 (b) x (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98780*j**3 - 11418*j**3 + 49607*j**3.\nAnswer: 136969*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1466164061 - 4.0357765801. Let q = l + -0.110839866. Let r = -4 - q. What is r rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2046061762?\nAnswer: 2, 89, 967, 11887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 563*l + 562*l + 3, -q - 5*l = -15. Let n(a) = -a**2 + a + 1. Let u be n(1). Solve q = 5*t - u - 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -683 and -683 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*a**4 + 172*a**2 - 1849?\nAnswer: 8*a**3 + 344*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 0*t + 234 = -75*d - 0*t + t, 3*t - 51 = 5*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 10*o**2 + 14*o - 14. Let d(m) = -2*m**2 - 3*m + 3. Let f(c) = 14*d(c) + 3*q(c). Let y(x) = 15*x**2. Give f(y(b)).\nAnswer: 450*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-5) + (-2)\/(288\/(-712)). Let c = h - 40\/9. Find the common denominator of 39\/11 and c.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**2. Let m(b) = 2*b. Let w = -22 + 25. Let k(s) = -2*s. Let p(y) = w*m(y) + 4*k(y). What is p(h(j))?\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 65 = -4*h, 2*n - 38 = 19*h - 15*h. Is 27 less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(147) + (1*sqrt(147) - sqrt(147)) - -4*(-3 + sqrt(147))) + -4)**2.\nAnswer: -1050*sqrt(3) + 3900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, b: 2}. What is prob of sequence bh?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 5*d**2 + 123*d + 320. Calculate c(-21).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057)*1 + -3 + sqrt(2057) + (sqrt(2057) - (sqrt(2057) - (1 + sqrt(2057)))*-6) - (0 + sqrt(2057) + 4)*6)**2.\nAnswer: 2178*sqrt(17) + 19602","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5034093986.\nAnswer: 2, 2517046993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/3, 6, 2\/5, 1, 11 in ascending order.\nAnswer: -5\/3, 2\/5, 1, 6, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3839*p**3 + 4*p**2 - 4*p + 3780. Let o(m) = -7673*m**3 - 9*m**2 + 9*m - 7563. Let h(f) = 4*o(f) + 9*v(f). What is the first derivative of h(j) wrt j?\nAnswer: 11577*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(((-1)\/(-1))\/((-21)\/7))\/(-1)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 542, 736, 900, 1034, 1138?\n\"Answer: -15*a**2 + 239*a + 318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 9*n**2 + 8*n - 4. Let i be f(-8). Let s = -32.018 + 32. Let b = s + -0.082. Sort i, 0.08, 0.1, b in descending order.\nAnswer: 0.1, 0.08, b, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1329 is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, u: 12, y: 5}. Give prob of picking 1 t and 1 y.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20966 - 880709\/42. What is the common denominator of a and 1\/(84\/(-309)) - -1?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -7*j**3 + 6*j. Let q be ((-21)\/(-3))\/(35\/(-455)). Let r(c) = 104*c**3 - 91*c. What is q*i(k) - 6*r(k)?\nAnswer: 13*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 314028 a multiple of 793?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -123, -191, -281, -381, -479, -563?\nAnswer: -621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 981.2778l in millilitres?\nAnswer: 981277.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/208 and 56\/3.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33196, 33334, 33508, 33736, 34036, 34426, 34924, 35548?\nAnswer: 36316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35 + -164. Let q = -195 - m. Factor -4\/15*d**2 - 2\/15*d**q - 2\/5*d**3 + 0 + 0*d.\nAnswer: -2*d**2*(d + 1)*(d + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -3010?\nAnswer: -3013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 38153768 divided by 8\nAnswer: 4769221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -r + 10, 23*i + 5*r - 15 = 26*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 2*n + 46 = 0. Let y be (-2)\/(-6) + 140\/(-60). What is the remainder when (-7 + 1)\/(y + 21\/11) is divided by n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - p = -16, -3*o = 5*p + 1780. Let c = -406 - o. Let k = c - 1194. Round k to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56a32 (base 11) in base 5?\nAnswer: 10114221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -4395459*f - 3. Let o be v(7). Let x = o + 49143964. Let z = 6175748 - x. What is z rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -8 + 15\/(630\/343). Which is greater: -4 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29015796 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -28, -1, -5.\nAnswer: -28, -5, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (105 - 103)\/((-30)\/(-330))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 26 (b) -0.1 (c) 666 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) - -5*-2*sqrt(204) - 1*sqrt(204)*4)\/(1*(sqrt(108) + sqrt(108) + -3*sqrt(108) - sqrt(108))).\nAnswer: 13*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -74 - -15. Let k = -36 - n. What are the prime factors of k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 8 = -3*w, -5*w = -s + 3*s + 12. Suppose s*q - 108 = q. Find the first derivative of -17*y + q*y - 2 - 9*y wrt y.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.2008312 millilitres?\nAnswer: 0.0002008312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2358, -18784, -63358, -150150, -293230, -506668, -804534, -1200898?\n\"Answer: -2345*t**3 - 4*t**2 + t - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 6 = -4*a - 4, -43 = 10*n + 2*a - 55 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197 is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -296 - -300. Suppose -17*k = -d*k + 975. Which is smaller: -73 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1007 = 6*n - 3157. What are the prime factors of n?\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nvanmmnnamavmva. What is prob of sequence vnav?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -86758789, -86758788, -86758787?\nAnswer: -86758786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1396d5 (base 15) to base 9.\nAnswer: 1686712","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.43 less than 0?\nAnswer: 20.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9480781?\nAnswer: 17, 557693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, d: 8, k: 6}. What is prob of sequence dkd?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*p - 3*p + p)*(7 + 2 + 0)*(-10 + 17 - 6)*(-8 - 6 + 3) to o*p + t and give o.\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 5*f**2 - f + 9. Let m(h) = h**2. Let g(j) = -4*m(j) + z(j). Let c = -1 + 1. List the prime factors of g(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 85 - 84.981. Let x = h - -9.781. Let i = x + -24. Round i to zero dps.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/2, 1\/8, -10, 10.1, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -11\/5, 5, 7, 3 in descending order.\nAnswer: 7, 5, 3, 0.4, -11\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -3*h + 26. Let d be r(4). What is the second derivative of -15*q**4 - 1 - 7*q + d*q**4 - 22*q**3 + 10*q wrt q?\nAnswer: -12*q**2 - 132*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 7*x + 441. Let n(l) = 3*l - 19. Calculate -k(y) + 6*n(y).\nAnswer: 11*y - 555","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3*b - 14. Let t be s(5). Are -1\/17 and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1023?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*l**3 - 18*l - 2*l**4 - 39267 - 2*l**4 + 2*l**4 - 4*l**3 + 39265 to the form t*l + r + u*l**3 + g*l**2 + m*l**4 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.2, -2\/21, 19, 5 in increasing order.\nAnswer: -2\/21, 2.2, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - -19. Suppose -2*z - f = -u, 0 = 5*z + 4 - 14. Is 9 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -3*j**3 + 8*j**2 - 4*j + 24. Let u be r(7). Let d = -442 - u. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1760 and 920.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28200 - 28170.038. Let k = r - -0.038. Let u = 28 - k. Which is the second biggest value? (a) -2\/11 (b) -5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 359.7826nm?\nAnswer: 0.0003597826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 71654 divided by 35827?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 4*t + 21 = 0, 3*t = 3*f + 7*t + 1 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 84\/15 + (-4)\/(-10). Suppose -2 = s - i. Let r(o) = 2*o - 5. Let m be r(s). Let q(d) = d - 3. What is q(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -2245?\nAnswer: 2245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1536243?\nAnswer: 3, 67, 7643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 0.3, 5, -845, 0.03, -0.5?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12683 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4186 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*1*((0 + (sqrt(500) + (sqrt(500) - (sqrt(500) + 1)) + -4 + sqrt(500) + sqrt(500) - sqrt(500)))**2 + 2).\nAnswer: -400*sqrt(5) + 4054","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 22*u**2 + 4*u - 19. Is q(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12381.\nAnswer: 3, 4127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 3*r**3 + 139*r**2 + 45*r - 19. Let v be a(-46). Solve -2*u - 5*f = v, 4*u - 3 = -3*f - 36 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1218b (base 13) to base 4\nAnswer: 20013113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -4*a + a**3 + a + 11 + 2*a - 3*a**2. What is the units digit of s(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 h when four letters picked without replacement from {m: 1, h: 6, q: 2, f: 3}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*y + 83*y = 165. Sort -5, y, -168 in decreasing order.\nAnswer: y, -5, -168","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(10\/5)*(-694)\/43028*-31.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 24\/11, 0.4, 1\/10, 1, -3.8 in decreasing order.\nAnswer: 24\/11, 1, 0.4, 1\/10, -3.8, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9744877?\nAnswer: 89, 223, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 136345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fl when two letters picked without replacement from flfllxxxfxllff?\nAnswer: 25\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*l**2 + 80*l**2 - 1 - 12*l - 39*l**2 in the form v + i*l**2 + y*l and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -l - 4*u - 38, 5*u = 2*l - 13. Let c be 30\/9*l\/5. Sort -2\/11, c, -3\/4 in descending order.\nAnswer: -2\/11, -3\/4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of -3*q**2\/2 + 2*q + 22. Determine z(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of -t**2\/2 - 55. Let o(b) be the first derivative of -2*b**2 - 1. Determine q(o(c)).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 19, 59, 133, 247, 407, 619?\n\"Answer: d**3 + 11*d**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-20)*(15 + -13)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*l**3 - 284*l**2 - 1068*l - 324.\nAnswer: 4*(l - 27)*(l + 3)*(3*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -1 - r**3 + 4*r**3 - 4*r + 4*r**2 - 3. Let q(m) = m**3 + m**2 - m - 1. What is a(w) - 4*q(w)?\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in 3, 0.1, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 572*p + 96 = 556*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 48 - 9 = 0. Let m = 1 - 20. Let s = t - m. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -668 = -3*u - 665, 4*u = 3*l + 13 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -j - 4*j + 5*l, 0 = j + 3*l + 10. Which is the nearest to j? (a) -3 (b) 2 (c) -0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - -5)\/((-10)\/50). Let w = r + 26. Suppose -w = -3*z + x, x + 0*x = 5*z - 19. Solve 0 = -5*g - 5*j - 20, -z*g + g + j - 16 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136817497 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32 - 12. Let k(i) = 44*i**2 - c*i**2 - 5 - 26*i**2 - i. Suppose 0 = -18*j + 13*j - 15. Let d(f) = 2*f**2 + f + 6. What is j*d(w) - 4*k(w)?\nAnswer: 2*w**2 + w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 25*q - 24*q = 2, -3*q = -2*x + 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -3\/8, 43340, -0.5?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 822*h = 827*h + 19, 3*f = -2*h - 1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + -5 + -4*sqrt(13))**2 + (-2*sqrt(117))**2 + sqrt(117).\nAnswer: 33*sqrt(13) + 610","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 11*z + 126. Let w be s(-8). Let j(p) = 2*p**2 - 73*p + 52. What is the units digit of j(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-11)*j)\/(j*j**(8\/7))*(j**(-1))**(23\/5) assuming j is positive.\nAnswer: j**(-586\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of p**4\/4 - 4*p**3\/3 + 3*p**2\/2 + 3*p + 4. Let v be a(3). What is the smallest common multiple of 4 and (-16)\/(-3) + 2\/v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/16 and 19\/(-342)*(-327)\/2.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 74932424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 32*b + 11. Let o(z) = -16*z - 6. Suppose -3*d + 8 = 23. Let f(h) = d*o(h) - 2*r(h). What is the first derivative of f(k) wrt k?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.02 + 0.02. Let f(g) = -59*g - 69. Let z be f(-6). Let s be 1\/(z\/(-207) + 16\/12). Which is the third smallest value? (a) -0.1 (b) v (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -0.19, 3.362, 213?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -3 + 64*(15\/(-6) + 3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 7 = 3*w - 72, 0 = w + 5*b - 15. Solve w - 73 = -16*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 678, 34 in descending order.\nAnswer: 678, 34, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i + 1. Let b be a(-2). Let r(w) = -24*w. Let j be r(b). Let q = 34 - j. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25936046, 51872091, 77808136?\nAnswer: 103744181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 53980 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*r - 1 - 15*r + 4 with respect to r.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101001010 + 1111111?\nAnswer: -11001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {w: 2, u: 2, l: 1, t: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y - 0 + 6, 2*y + 16 = 2*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 PM and 5:14 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z + 6*z - 4*z + 3)*(-3 + 7 + 7)*(12 + 27 - 27).\nAnswer: -264*z + 396","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -547*u + 7138. Let a be j(13). Solve a = -9*t + 18 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -r + 4*s, -3*s + 2 = -4*s. Suppose r = -3*x - 5. Is 2 + -67*(-3 - x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1744581*n**2 + 1618996*n wrt n?\nAnswer: 3489162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.04120494 + -1.0411. Round z to six dps.\nAnswer: 0.000105","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3671212 to the power of 1\/2, to the nearest integer?\nAnswer: 1916","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 34*t + 237. Give b(-6).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 25*w**2 - 11999*w - 289743. What is j(503)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 plus 34.95?\nAnswer: 6.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 10:57 PM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 43581762 a multiple of 238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, h: 4, m: 6, o: 2, x: 3, e: 3}. Give prob of picking 1 x and 1 h.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 2\/7, 1, -2, -65?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -y**6\/24 - 9*y**5\/20 - 3*y**4\/16 + 73*y**3\/12 - 12*y**2 + 9*y + 164. Solve k(o) = 0 for o.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - -173.\nAnswer: 173.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -15 (b) -0.145 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 871744, 1743479, 2615214, 3486949, 4358684, 5230419?\nAnswer: 6102154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-106 - 4) + 4)*(-36241)\/2. Let n = 759227 + a. Round n to the nearest 100000.\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -5*b + 97212, b + 3*t + t - 19428 = 0. Let r be b\/68334 + (-2)\/7. Let q = 151319\/6508 + r. What is the common denominator of 87\/8 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.227 - -0.627. Let s = -14 + 12. What is the third biggest value in o, s, 1\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11665, -2, -1, -34.\nAnswer: -11665, -34, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r - 1. Let p be l(3). Let a = p - -12. Let v(d) = 2*d**2 + 23*d - 9. Let z be v(-12). Solve 0 = 2*n - 2, -z*j - 5 = -a*n - 0*n for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*7\/((-1512)\/(-6)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2211\/10 + -8098\/5. Let m = 1427 + f. Calculate the common denominator of m and 33\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -135259 + 135263 - r**3 - 2*r**3 + 18*r as s*r**2 + y*r + b*r**3 + v and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -79787448.\nAnswer: -1\/26595816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.08 + 0.92. Let d = 495 + -494.8. Which is the nearest to u? (a) -0.2 (b) d (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1776.73 rounded to the nearest one hundred?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2103139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 67821179323 from -4833.\nAnswer: -67821184156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + 4*d + 2. Let h be x(-3). Let n = 0.215 + -0.2687. Let u = n + 4.0537. Which is the closest to -1? (a) u (b) 1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 19 = 3*y, -3 = -y - 4*o + 5*o. Let r be y\/2*(-203 - -1). Suppose r = 2*n + 4*z, 3*z - 3 - 12 = 0. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 35\/3*r**4 + 0*r - 5*r**5 + 20\/3 - 55\/3*r**2 + 5*r**3 = 0.\nAnswer: -1, -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 36 = -x - 5*r, -2*r = 3*x + 15. Let w(t) = -10*t - 9. Let g(p) = -5*p - 5. Let n(c) = x*g(c) + 4*w(c). What is the derivative of n(k) wrt k?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (50\/(-4))\/(7\/(-14)). Let h = 26 - l. Are h and 2\/51 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-23 + (-1130)\/(-49))*56. Suppose 46\/7*v**4 + 0 + f*v**5 + 0*v + 26\/7*v**3 + 4\/7*v**2 = 0. Calculate v.\nAnswer: -1, -2\/3, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 10:52 AM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -33134*p + 33195*p - 52*p**2 + 30*p**2 + 2*p**3 as s*p**3 + c*p**2 + k*p + f and give k.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -347*p + 18 - 18 - 14*p as q + f*p and give f.\nAnswer: -361","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -359 - -416. Find the second derivative of -v - 65*o**5 + 66 - 23*o**5 - o - 33*o**5 wrt o.\nAnswer: -2420*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/7813 (b) -31 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/10 - (-52)\/10. Let t(s) = -s**3 + 4*s**2 + 5*s + 1. Let k be t(u). Is (-124)\/(-6) - k\/(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eweieceekkemmec. What is prob of picking 1 e, 2 k, and 1 i?\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 8*o**3 - o - 2*o**2 + 2*o**3 - 6*o**3 - 3*o**3. Let i(s) = s**3 - 3*s**2 - s. Calculate -3*d(f) + 2*i(f).\nAnswer: -f**3 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 371, 1444, 3233, 5738, 8959?\n\"Answer: 358*i**2 - i + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 25 = -6*z. Suppose 0*b = z*b. Suppose 2*v - 840000 = -b*v. What is v rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -39*g**3\/8 - 171*g**2\/4 - 231*g\/8 + 9 = 0.\nAnswer: -8, -1, 3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4939.808452 + 0.008452. What is z rounded to the nearest 10?\nAnswer: -4940","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4518.4 * 501\nAnswer: -2263718.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2 - 10 = 0. Calculate the highest common factor of 12 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 180 = 4*w. Let l = w - -3. What is the greatest common factor of l and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 786006 and 4329.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q - 192 = -7*q. Let l = -46 - q. What is the second derivative of -4*d - l*d + d - 2*d + 14*d**2 wrt d?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.8 + 1.2. Which is bigger: -2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 987714.\nAnswer: 2, 3, 7, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177266 - 176438 = -69*v for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 252, -2, -4, 1, 5, -13 in decreasing order.\nAnswer: 252, 5, 1, -2, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 4*k - 2*k + 2, k + 1 = 3*u. Suppose 5*f = -2*p + 81, u*p - 2*p = f - 13. Solve -8 = 13*g - f*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 d when three letters picked without replacement from ymzzzzwmdwyyzzd?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*n - 47*n - 36 = -94*n for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from oorrdrrdd?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/2 (b) -118\/23 (c) -3 (d) -0.5 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(306)*-1 - sqrt(34))\/((sqrt(6)*1)\/sqrt(3)) - (-3 + (-2*sqrt(833))**2)*-5).\nAnswer: -83225 + 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -851, -3408, -7673, -13646?\n\"Answer: -854*f**2 + 5*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/11 (b) 0.4 (c) 2\/15 (d) 3 (e) 90\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + 3*q**2 + 4*q + 2. Let d(w) = w - 3. Let i be d(1). Calculate n(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2311090801 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 73, 4, -2194 in decreasing order.\nAnswer: 73, 4, -2194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -5 + -5 + 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5088247 to the power of 1\/2, to the nearest integer?\nAnswer: 2256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 30 = 0, 34*u - 20*u - 18*u - 19*q + 202 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + (-193)\/1 - 0. Let x = m - -219. Solve -r - 2*r = 4*z - x, -5*r + 8 = -3*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1366 or 1344?\nAnswer: 1344","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jsi when three letters picked without replacement from {s: 7, i: 3, j: 8}.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 56150 and 780.\nAnswer: 4379700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-10)\/2)\/((-7)\/217). Suppose -5*l = -0*l - g. Let p = l + -17. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -98\/6701?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3186753?\nAnswer: 3, 1062251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2aa19 (base 12) in base 2?\nAnswer: 1110101100110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 4*c - 36 = 0. Is 10 a factor of (3 + 2)*(c + -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 509, 515, 521?\n\"Answer: 6*j + 503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101010010011 - -100000001?\nAnswer: -1100110010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -34 and -31 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 10, k: 9}. What is prob of sequence tkk?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-3*sqrt(1539) + sqrt(1539) - (sqrt(1539) + 3*(sqrt(1539) + -1)))**2.\nAnswer: 486*sqrt(19) + 124668","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20529597 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42 and 21.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bse when three letters picked without replacement from bdbsbdbdedd?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38277474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -221*y**2 + 167*y. Let d(a) = 11*a - 2. What is d(j(w))?\nAnswer: -2431*w**2 + 1837*w - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (2 - 16 - -9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-70))\/((-189)\/210).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (62\/(-6))\/(1\/(-21)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -775*g - 132*g = -77095 for g.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -918 + 922. Let c(r) = -3*r + 38. Let k be c(f). Which is bigger: 33 or k?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/35*((1350\/(-12))\/(-15) - 10). Which is the third smallest value? (a) 2 (b) 11 (c) k (d) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12\/(-3) + 5)*2. Let d be y\/4 - (-99)\/22. Suppose -5*g - d + 15 = 0. Solve 6 = 2*n - g for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.19 - 1.19. Let x be ((-168)\/(-133))\/((-6)\/(-4)). Let q = 28\/57 + x. What is the third biggest value in j, q, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.02 from -22117.\nAnswer: -22116.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(-5)\/25)\/(((-130)\/(-100))\/(-13))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4659880 divided by -4659880.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b + -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 19 = -2*x, -311*x = 5*j - 308*x - 67 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 206\/(8 + (-304)\/40). Let o = x - 511. Solve -o*v = 5*r + 2, 2*r = -2*r - 8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -33*x + 49. Suppose 6 = -3*y + 5*j, -7*j = -y - 6*j. Let i(k) = -32*k + 48. Let s(v) = y*b(v) - 2*i(v). What is the derivative of s(o) wrt o?\nAnswer: -35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - 64*a**2 + 112*a + 732. Determine m(62).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4432?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 12966400 divided by -64?\nAnswer: -202600","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -35224107\/2 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, m: 17}. What is prob of sequence ttm?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 + -131.52244741.\nAnswer: -131.22244741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/368 and 19\/92?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 9343597 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 60 + -58. Let f(t) = -q*t + 7*t - 7*t + 4*t - 9. What is f(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3158234983 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2494, -4845, -7064, -9151, -11106?\n\"Answer: 66*t**2 - 2549*t - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 5 = -2*q - 2*p, 3*q = -p + 8. Suppose 2244 + 576 = q*m. Suppose -8*j + m = -2*j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6884 to the power of 1\/2, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 28 = -5*u, 4*v = -3*u + 22 + 5. Suppose 55 = u*w + 3*m - 35, 54 = 3*w + 5*m. Calculate the least common multiple of 6 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/40, 1\/4, -2, 0.2, 2\/19?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -620 in 4, 1.7, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - 2*y + 3*y + (3*y - 3*y + 2*y)*(0 - 1 + 2) - 2*y + 2*y + 3*y)*(-3 + 5 + 3)*(0 - 3*y - 5*y - 1).\nAnswer: -240*y**2 - 30*y","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of -1\/28*u**7 - 1\/6*u**4 - 1\/4*u**3 + 1\/168*u**8 + 0*u + 3\/20*u**5 - 40*u**2 + 0 + 1\/60*u**6. Determine n so that m(n) = 0.\nAnswer: -1, -1\/4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-9 + 9) - (-2 + 6)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26930749\/15537 - -17\/5179. Is m smaller than 1733?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -o + 10, -284*h = -281*h. Solve 0*q + o*q = q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 - -28. Suppose -3*y - y = -w. Let c(t) = t**2 - 3*t - 1. Give c(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9\/164 + -10049\/820. What is the common denominator of (-2)\/8 + 214\/56 and n?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {n: 2, i: 8}?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (11\/30)\/((-1)\/2). Let x = s - -1\/3. Let c(v) = v**3 - 6*v**2 + 4*v + 6. Let h be c(5). What is the third smallest value in x, h, -0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.017 + -5.017. Which is the fourth biggest value? (a) g (b) 5 (c) -1\/8 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2546 - 2540. Let j be (1\/1)\/(-6)*1. What is the nearest to d in j, 5, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160 is divided by 34.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (7 - 2 - 8 - 1)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7332\/(-23829) - 736\/(-26)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 479 - 479 - 37*l**3.\nAnswer: -37*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -v + 248, 0*a = a - 4. Let h = v + 43. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 49*i + 50*i = 69430001, 5*q - 69430002 = -2*i. What is q rounded to the nearest 1000000?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 31157 + -275?\nAnswer: 30662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1316 and 73132?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 227 + 223 + 0*h + 3*h - 521.\nAnswer: 3*h - 71","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 149 - 157 = 0. Let j(x) = 74*x - 27. Let n(f) = -75*f + 26. Let z(y) = 4*j(y) + 3*n(y). Is z(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**2 + 322416*c + 25988019264 = 0.\nAnswer: -161208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3*l = -14. Let v(t) be the third derivative of t**6\/120 + 7*t**5\/60 + t**4\/24 + 3*t**3\/2 + t**2. List the prime factors of v(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -5*a**3 - 3*a**2 - a. Let o be c(-1). Suppose -m + 22*b + 601 = 27*b, o*m + 4*b - 1858 = 0. What is the hundreds digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) - (sqrt(119) + 2*sqrt(119)*-4 - sqrt(119)))\/(sqrt(84)\/sqrt(3)).\nAnswer: 9*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**4 - 6*j**4 + 2*j**4)*((-4 + 4 - 2*j)*(3 - 3 - 1) + 1 - 1 - j).\nAnswer: -3*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -1, 68, 195, 398?\nAnswer: 695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, h: 3, e: 1, z: 4, u: 2}. Give prob of sequence hhy.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/3)\/(n*n\/(n*n**5)*n*n)*(n**1\/n)**(-32))**(1\/5))**(11\/3) assuming n is positive.\nAnswer: n**(88\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 2 z, and 1 c when four letters picked without replacement from zcormzomnmcoonm.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*z)*(z - z - 3*z) + 0*z**2 + 3*z**2 - z**2 - 3*z**2 - 2*z**2 + 3*z**2 + (3 + 0 - 1)*(4*z**2 + 0*z**2 - 6*z**2) + 13*z**2 - 9*z**2 - 5*z**2.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffanfdi. Give prob of sequence fna.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kldk when four letters picked without replacement from kdkklkdllkl.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 654589.\nAnswer: 13, 43, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 - 13*h + 12. Let f be r(12). Suppose 3*m = -f + 9. Is 1 bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179 is divided by 46.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 28*f**2 - 5. Let k = 391 + -399. Let v(h) = 42*h**2 - 8. Determine k*x(o) + 5*v(o).\nAnswer: -14*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*-2*sqrt(21))\/(sqrt(56)\/sqrt(32)))**2.\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10952.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ruw when three letters picked without replacement from wurwivw?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.38 + -39228938.08?\nAnswer: -39228937.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -52\/17 + 22\/17*r + 2\/17*r**2.\nAnswer: 2*(r - 2)*(r + 13)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -16. Let o(q) = 4*q**3 - 7*q**2 - 11*q. Let m(z) = -7*z**3 + 14*z**2 + 21*z. Let w(u) = -3*m(u) - 5*o(u). Let a be w(p). Solve a + 5 = -n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*s - 3601 = 243*s + 73*s for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 3*h + 3*c - 16632 = 0, 3*h = 3*c + 49860. Suppose b - 10*b + h = 0. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -4*a - 20. Let m(x) be the third derivative of -x**4\/8 - 4*x**3\/3 - 3*x**2 - 11*x + 16. Determine m(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -42.13 - -0.13. Let t = x + 36. Let w = 5.99817 + t. Round w to 4 dps.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*3.02\nAnswer: 0.906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4944 a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 86*q - 23. What are the prime factors of y(26)?\nAnswer: 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 12:03 PM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 717 is divided by 276?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 1004184?\nAnswer: -1\/251046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 + 35. Solve -5*c + z = -3*c - v, c - 5 = -v for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (c + 0*c + 0*c + 2)*(-3 + 0 - 1)*(-5 + 4 - 1) to o + p*c and give o.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -53.39 - -57.3. Let r = -0.09 - o. Let y(m) = -m**3 - 4*m**2 + 4*m - 1. Let p be y(-5). Which is the second smallest value? (a) -3 (b) r (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -l**3\/5 + 17*l**2\/5 = 0.\nAnswer: 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t - 5. Let k(x) = 11. What is -13*d(q) - 6*k(q)?\nAnswer: 13*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131 is divided by 50?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -215*k**3 - 14*k**2 - 16*k.\nAnswer: -1290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**3 + 4260*k**2 - 104420*k + 613200.\nAnswer: 5*(k - 14)*(k - 10)*(k + 876)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 7*x**3 - 5*x**2 + 3*x - 9. Let m be q(6). Let b = 2240 - m. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - -45. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -87, 7, 3678 in descending order.\nAnswer: 3678, 7, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 5*z**2 + 7*z + 8. Let a be o(-6). Solve 18*i - a*i**2 + 0*i**2 - 3*i**2 + 12*i - 25 = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*v = 16*v + 200. Solve -3*r - 29 = -5*k, 13 = -3*r + 3*k - v for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 - 25 + 44 - 3*o - 17 - 10 - 4.\nAnswer: -3*o - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, 14156628, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/12)\/((-2)\/(-6))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**2 + d**2 - 2*d**2)*(5 - 3 - 1 + 3 + 2 - 3 + (-1 - 3 + 2)*(1 + 2 - 2) + 0 + 1 + 0 - 2 + 1 + 3 - 4 + 5 + 2)*(-3 - 3*d + 3)*(3*d - 3*d - 2*d).\nAnswer: 42*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1770 - -1774. What is the smallest value in 5, -5\/2, -5, h?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s = -2*s - 3*w + 10, -s = -w + 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3879782196?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3*g**3 + 19*g**2 - 12*g + 27. Let q be s(4). Calculate the highest common factor of q and 238.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194*g + 223*g - 25 = 410. Solve -w = -g*w + 84 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 237 - 414 - 419 = 149*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -149, -1716, -4423, -8270, -13257, -19384, -26651?\nAnswer: -35058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8265676*j**3*n**3 + 496*j*n**3 - j*n**2 + 18*j*n + 6*j - 2*n wrt j.\nAnswer: 49594056*j*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - 35*w**2 - 460*w + 17695. Give y(32).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10133\/3 + 3376. What is the nearest to 0.05 in 5, 0.2, y?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-1 + -2 - (5 + -5)) + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -100240114 (base 5) in base 9?\nAnswer: -667787","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -2*k. Suppose k = -3*j + 14 + 28. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5946527?\nAnswer: 2011, 2957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -322147027, -322147032, -322147041, -322147054, -322147071, -322147092, -322147117?\nAnswer: -322147146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4*-11*(3 + -1). Suppose 36 = -0*p + 4*p. Let j = p + -1. Calculate the highest common divisor of j and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/86155 > 33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -45 + 23. Suppose -5*w - y - 81 = 0, -y + 97 = -5*w + 2*y. Let r = w - x. Put r, -2, -4 in ascending order.\nAnswer: -4, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -3*f**2\/2 + 7*f + 51. Calculate z(8).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157101*z**3 - 78595*z**3 - 78548*z**3.\nAnswer: -42*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2*sqrt(1900))**2.\nAnswer: 22800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 277216.59 months to years.\nAnswer: 23101.3825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 - -31. Suppose 5*f - q = -0. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -487703\/54 + 9029. Calculate the common denominator of v and 85\/18.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 130 + -173. Let k = p + 43. What is the nearest to -1\/6 in 5, -14, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 61 - 37. Calculate the remainder when 45 is divided by o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}