diff --git "a/data/dm_maths/full_data_1/1452_11255.jsonl" "b/data/dm_maths/full_data_1/1452_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1452_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose 3*y + 0*y - 527 = -4*s, 4*y - 3*s - 661 = 0. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*m = 188*m + 35 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**3 - 11739*k**2 - 47004*k = 0. What is k?\nAnswer: -4, 0, 3917","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 15 = f, -4*p - 4*f + 27 = -9*f for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - ((-3 - -11 - 11) + (-17 - 0))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -916, -912, -906, -898, -888, -876?\n\"Answer: l**2 + l - 918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 202495865837 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b - 6. What is the units digit of c(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-96)\/21) + (-318)\/42?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 1\/2 (c) 0.1 (d) -254\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-30)\/14 + 3\/21. Let a(r) be the first derivative of r**2 + 3*r - 1. Let i be a(n). Let j(z) = -4*z**2 - 2*z - 1. Determine j(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3563 - -6607. Let o = y + -2009. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 4323?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 896 less than 336?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4 = 0, -43 = -d - 3*k - 16. Let s = -17 + d. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2*g - 15 = 58, 0 = 3*u - g - 229. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b + 312b70?\nAnswer: 312b7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 96\/(-16)*(10\/10)\/((-363)\/11)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -0.1, -4.6 in increasing order.\nAnswer: -4.6, -0.1, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a**2 - 19901*a + 19901*a.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5800, 0, -4, -2, 3, 5, 6 in ascending order.\nAnswer: -5800, -4, -2, 0, 3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/790 and -99\/790.\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66014 is divided by 786?\nAnswer: 776","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + 10. Let x be 20*2*3\/w. What is the greatest common factor of 1 and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 898 and 28706?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5\/3 (b) -0.07 (c) 1 (d) -742078\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 339133564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.74 - 3.44. Which is the third biggest value? (a) 1\/7 (b) -5 (c) -3 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*v**2 + 3*v**2 - v - 2*v**2.\nAnswer: v*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-351)\/(-54) + 157\/(-26). Let b = 427\/6 + -71. Is v bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5911 - 4970 = -5*b - 96. Is 29 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 533*b**2 - 3*b - 4. List the prime factors of i(-1).\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - -1 - (178 - 158).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - 0) + (2 - 1). Let s(v) be the second derivative of v**4\/12 + v**3\/6 - v**2\/2 + 3*v. Let y be s(p). Put y, -2, 1 in increasing order.\nAnswer: -2, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4845 and 1995.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 5*l = -20, l + 9 = 4*n + 5. Let u be 3 - n\/(-2 - -4). Solve u*j - 4*t + 4 = 5*j, j = -5*t + 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233607 is divided by 57?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27077?\nAnswer: 27077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 6*n**2 - 9*n + 11. Let x be (-45)\/3*(-6)\/(-15). Let y(d) = 3*d**2 - 4*d + 5. Give x*w(u) + 13*y(u).\nAnswer: 3*u**2 + 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 9763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 54 and 110?\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-1*15)\/(495\/(-198))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 5*r - 223. Calculate the remainder when 267 is divided by r.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 12\/7, -6, 11, -4\/5, -5, -0.4, 29?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -299*y + 155*y + 145*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 72 + -21. Let y = q + -35. Solve 0 = -w + 3*i - 4, 2*i = 4*w + 2 - y for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -43342.64738 to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 + -13. Let t be ((-2)\/2)\/(2\/(-6)). Solve m = -2*k - t for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + 508 + (-128)\/(-16). Let n = 486 - p. Put -1, -3\/5, n in decreasing order.\nAnswer: -3\/5, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4b0 (base 12) in base 4?\nAnswer: -23010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z + 19 + 65 = 0. Suppose -w + 27 = -3*q, -3*w - 2*q = -z*q - 77. What is the least common multiple of 56 and w?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7143 - -7143.1. Which is the third biggest value? (a) 5 (b) m (c) -452\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) + 1*sqrt(114)*-5 + sqrt(114))\/((sqrt(36) - (sqrt(36) - sqrt(72)\/sqrt(2)))\/sqrt(6)))**2.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -7 + -9 - (-10086)\/902.\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 1) + (-7 - -3 - -5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145653 is divided by 48549?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(48\/(-34)) - 2\/(-8)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 0*l - 7 = 0. Let p(w) = -2*w**2 - 3*w - 3. Let d be p(-2). Let r = l - d. What is the remainder when r is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1819 + -1153. What is the remainder when x is divided by 322\/21*(-6)\/(-4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 866054976?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1060306633 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 147 minus 299182874?\nAnswer: -299182727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 24*a**4 - 2*a**3 + 50*a - 2. Let c(t) = 47*t**4 - 4*t**3 + 99*t - 3. Let n(v) = -6*c(v) + 11*y(v). Find the second derivative of n(u) wrt u.\nAnswer: -216*u**2 + 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of 1\/4*n**5 - 2*n**3 + 1\/4*n**4 + 0 + 3\/80*n**6 + 2*n**2 + 0*n. Determine j, given that k(j) = 0.\nAnswer: -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 5*i - 574 = 0, 2*i - 4 = -5*l + 705. What is the highest common factor of 1034 and l?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.44 + -0.34. Let v = -179\/3 + 59. What is the nearest to s in 0.2, v, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*y**5 + 18434946*y**4 - 8496241685600*y**3 + 56074451092968*y**2 - 27187539805440*y - 20390688036864 = 0. Calculate y.\nAnswer: -2\/5, 1, 6, 921744","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 11, e: 2}. What is prob of sequence ce?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 9, -26, -2, 6\/5, 3\/2?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 32 = -o. Suppose -o = -2*g - 2. Let h(x) = -x**3 + 5*x**2 + 8*x - 1. Calculate the remainder when h(6) is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 468766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**2. Let p(t) = t**2 - 24*t - 11. Let q(a) = -a**2 - 2*a + 1. Let d(i) = -p(i) + 4*q(i). Let o(x) = -5*d(x) - 15*z(x). What is v in o(v) = 0?\nAnswer: -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -3732*p + 11. What is the tens digit of r(-16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + 3\/6*-2. Let r = -1 - l. Solve -r = -3*j - 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4067554*m**2*t**3 + 31*m*t**2 - 259*t**3 + 6*t wrt m.\nAnswer: -8135108*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34243739 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1 + sqrt(153) + 5 + 3)*-2.\nAnswer: 42 + 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i = -2*z - 8, 5*i + 4*z + 5*z - 41 = 7*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -21 + 3*f - 7 + 15. Calculate o(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.9 + -3. Let p = -0.849 + -0.236. Let x = -0.085 - p. What is the nearest to q in x, 3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 5) to base 8\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -37425184 + 1?\nAnswer: -37425183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 6, l: 4, q: 2}. Give prob of sequence ccl.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*(z*z**(-2\/7)*z)\/z)\/z)\/z*z**(-3\/11))\/((z*z\/z**(-2))\/(z*z*z\/(z\/z**(-6)))) assuming z is positive.\nAnswer: z**(-659\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*a + 4806 = 1206. Let b = 11 - 53. Let x = b - a. What are the prime factors of x?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21811 is divided by 99.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 4598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/36 and -28\/5.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - 6*s**2 + 7*s - 7. Let x be u(5). Suppose -p - 2*t + 0 = -12, 56 = x*p + t. Is (-13)\/(4\/p*-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -1589*h + 35. Let o(v) = v - 35. Let c(i) = o(i) + r(i). Let s(g) = -10*g**2. Give c(s(u)).\nAnswer: 15880*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**2\/3 + 78870073*z\/3 - 6572506.\nAnswer: -(z - 19717518)*(4*z - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (5 + 0 + sqrt(19) + -4 - ((sqrt(228) - sqrt(228)*1)*-2)\/sqrt(12)).\nAnswer: -3 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + t - 4. Let g be k(-3). Suppose 5*z - 40 = -0*z. What are the prime factors of g\/z - -118*2\/16?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 98540.\nAnswer: 394160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1969 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0\/5)\/(-4 - -6). Suppose -2*z = -y - 5*z + 5, s = 4*y + 2*z - 20. Which is the third smallest value? (a) y (b) -31 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - 2*x**2 + 2*x - 7. Let r be q(3). Let a = r - 6. Find the second derivative of -2*c - 8*c**4 + 5*c + a*c wrt c.\nAnswer: -96*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 279783 by 7.\nAnswer: 39969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + 34*j**2 - 102*j - 1589. What is d(27)?\nAnswer: 760","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-20) - 5\/(-20). Which is the fourth smallest value? (a) 1\/8 (b) w (c) -2 (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from thll. Give prob of sequence tlh.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13389.5 + 13389. What is the fifth biggest value in 25, -0.2, q, -1\/10, 8?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5394073?\nAnswer: 97, 55609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20? (a) -1426\/317 (b) -2 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 4*r + 32 = 0, -4*r = x - 0*x + 23 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 65, 5, 2 in descending order.\nAnswer: 65, 5, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2628*b*h**2 + 299147*b + 3*h wrt h?\nAnswer: 5256*b*h + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a**2 + 3*a + 14. Let f(t) = t**2 + 2*t + 7. Let j(x) = 2*b(x) - 5*f(x). Let i be j(6). Solve -i*c + 15 = 5*s, -2*s = -5*c + 2 + 6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g**2 - g**2 - 1 + 2)*((1 - 3 + 3)*(3 + 2 - 4) - 5 + 4 + 10 - 1 - 3 + 1) in the form m*g**2 + j*g + b and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-5)*((-5)\/1)\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n + 16. Let k be q(-17). Let s be (15\/(-1) - -1)*k. Solve -2*v = v + 3, -s = 3*z + 2*v for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q**5 + 5*q**2 - 3*q**5 - 3*q**5 + 3*q**3 - 3*q**3 + q**5 + 3*q**5 - 2*q**5 + q**5 + (1 - 1 + 2)*(0*q**4 + 0*q**4 + q**5) - 3*q**5 + 3*q**5 + 2*q**5.\nAnswer: 5*q**5 + 5*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 3*f - 5. Let a be b(4). Suppose u = y - 23, a*u = 3*u. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 106 - 64. Suppose 5*b = 10*b - 70. What is the highest common divisor of b and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 5. Let w = t - -4. Suppose 0 = -s - w*s. Which is the third biggest value? (a) -4 (b) s (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**3 - 4*r**3 - 2*r**3)*(-1 - r + 1 + (1 + 1 - 1)*(-5*r + 3*r + 0*r))*(-3 + 2 + 2).\nAnswer: 9*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 - 3*x + 9. Let c = -1 - 6. Is m(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 7 - 1 = 4*w, 0 = 5*l + 4*w - 26. Let i be (-1)\/((-2)\/72*l). Let d be (-49199998)\/12 + (-3)\/i. What is d rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 622 - 488. Which is greater: 0.1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + 146?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 20582, 20600, 20618, 20636, 20654?\n\"Answer: 18*g + 20564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 66914.83ml in litres?\nAnswer: 66.91483","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o - 15*o = -g - 19, 5*g = -5*o + 30. Suppose -523 + 443 = -o*c. Let q = -27 + 58. What is the remainder when q is divided by c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (18\/(-10))\/((-9)\/15). Which is the nearest to 1? (a) -29 (b) 0.1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 30*h - 1. Let o(u) = u**2 - 6*u + 1. Let k be o(6). Calculate the remainder when g(k) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.18 + -8.82. Let t = l + 8.4. Let w = t - 0.4. Is w smaller than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -1536 (b) 6 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 13 + (3 + -3 - -3). Suppose -a + 314 = -g. Round a to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-three tenths of a litre?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**8\/(d**(-2\/31)\/d)*(d\/(d*d\/(d**7\/d)*d)*d)\/d**8 assuming d is positive.\nAnswer: d**(188\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -m - 111. Is 19 a factor of (3 - 2) + m - 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of i**5\/20 - i**4\/4 + i**2 - i. Let n be h(2). Let m = n + 18. Is m a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*h + 17*h - 5*j = -20, 0 = 44*h + j - 176 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-3))\/(11 + 1023\/(-99))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 + -8. Suppose 3 = -3*r - 3. Let c be (r - -4) + (-3 - -12). Calculate the highest common factor of c and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1437 + 1441. Let q(j) be the first derivative of -3\/4*j**a - 27*j - 9\/2*j**2 + 5*j**3 - 12. Factor q(r).\nAnswer: -3*(r - 3)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29467, -29461, -29455?\nAnswer: -29449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 + 5*j**2 + 3*j + 3. Let l be i(-2). Suppose -21 - l = 2*v. Let g = -12 - v. Let r(k) = -k**2 + k + 3. Determine r(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3876680 is divided by 298?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5442 + -3418. What are the prime factors of q?\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -7 + -1 + 3 + 7 - 52. Let m = -50 - n. Let i be ((-28)\/18)\/(1 - -1). Is i smaller than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10211 - -11?\nAnswer: 10222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1269 and 2057472?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 79 and -0.400173?\nAnswer: -31.613667","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2152 and -50522891?\nAnswer: 50525043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 8 - 1 - 2619\/378\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1349858?\nAnswer: 2, 674929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, t: 2}. Give prob of picking 3 r.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 640\/512*(-3220)\/175?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19.68 - 20.18. Which is the third smallest value? (a) -1.37 (b) -5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1575 - -2612. What is the highest common divisor of n and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g + 6 = -0*g - 2*r, 0*g - 3*g + 3*r + 144 - 135 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -39\/20 >= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 - -33. Suppose -2*i = -37 - h. Suppose 0 = 5*z + 3*u - 19, 2*z + 2*z = 4*u + i. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -60 + ((-123 - -31) + 74 - (-28 - -1))\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 665499923 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 153 and 56185.\nAnswer: 505665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s*s**(-7)*s)*s**(5\/4)*s**(-1)\/s**5 assuming s is positive.\nAnswer: s**(5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of -a**3\/6 - a. Let m(r) = -23253*r + 11539*r + 11551*r. Give m(l(b)).\nAnswer: 163*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 167873?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.1 times 25?\nAnswer: -477.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + -22311?\nAnswer: -22301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114235 = -41*d + 36*d. Suppose -2*c + d = 9*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hmmh when four letters picked without replacement from {m: 5, h: 14}.\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0*r + 4*r - 3*r)*(1 + 0 - 2) - 3*r - 3*r + 4*r + 2*r + 3 - 3 - r - 4 + 4)*(3*r - 5*r + 0*r) as s*r + t + z*r**2 and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19.2? (a) -2 (b) 5 (c) -25 (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 3*r - 20. Calculate d(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2139 >= 7.71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*g**2*h*t + g**2*t + g**2 - 182*g*t + 3*h*t + 4089*h wrt t?\nAnswer: -2*g**2*h + g**2 - 182*g + 3*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 135 and 30?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of 29*o**3\/2 - 149*o**2\/2 + 97*o - 128. Let h(f) be the first derivative of w(f). Differentiate h(k) wrt k.\nAnswer: 87","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-8)\/(-18))\/((-2)\/(-3)). Let w = -608957 - -608953. What is the second smallest value in 1\/6, r, w?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a hour in minutes?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of -c**2\/2 + 2200*c + 10. Let j = 7 - 7. Let x be o(j). Round x to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -328 (base 12) to base 5\nAnswer: -3324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 11*d. Let f be t(11). Solve f = -3*q + g + 11, -4*g - 7 = 2*q + 9 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.8804 + -39047345.\nAnswer: -39047339.1196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + -22. Let w = f - -10. Are w and 2 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 1)*(3 + 0 - 6 + (0 - 5 + 3)*(2 - 3 + 0) + 0 - 3 + 2 - 5 + 4 - 6)*(w**3 - 4*w**3 + 2*w**3).\nAnswer: 18*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 4404512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103635159.\nAnswer: 3, 997, 34649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 16275 (c) -15 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5057 is divided by 412?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*a - 3*a - a)*(-2*a - 2 + 2) + (-1 + 6*a + 1)*(-2*a - 2*a + 5*a + (3 - 3 + 2*a)*(-2 + 3 + 0)) to w*a + b*a**2 + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*i - 4*p - 25, i - 6*p - 24 = -p for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -9832*l**2. Let c(b) = -3*b. Give s(c(h)).\nAnswer: -88488*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 507486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -118 - -131 - (10 + 6 + 22).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 102182 and 3610220626.\nAnswer: 3610322808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p, 1 k, and 1 e when four letters picked without replacement from {g: 5, e: 1, p: 3, b: 2, k: 3, z: 1}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -369259.2 times -1?\nAnswer: 369259.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 106494, 106479, 106450, 106407, 106350, 106279?\n\"Answer: -7*g**2 + 6*g + 106495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 4:18 PM?\nAnswer: 5:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 323 divide 131658?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3669477?\nAnswer: 3, 7, 174737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1181 and -345?\nAnswer: 1526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-112)\/6*(-27)\/6. Suppose 32 - u = -4*d. Let c = -8 + d. List the prime factors of c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of 5*n**2 - 22*n - 22. Let w be o(2). Let v be ((-1)\/(-1))\/((-2)\/(-8)). Put -3, w, v in ascending order.\nAnswer: -3, w, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/14)\/(3\/(-21)). Let b be -2*(n - 67) + 0. Suppose -b = 4*t - 9*t. What are the prime factors of t?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g + 13*g - 188*g**2 + 20 - 132*g**2 + 78*g**2. Let j be d(-5). Round j to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13467312 is divided by 1224301.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-216)\/(-52) + -4 + 122559992\/3068?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/22 - -411*(-32)\/(-264). Suppose 49*a = g*a - 321. What are the prime factors of a?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -p + 3*j, -p + 2*j + 54 = 3*p. Suppose p*s = 9*s + 576. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6032 - -3?\nAnswer: -6026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -6*k**2 + k + 2. Let h be (10 - 8)*1\/(-2). Let j be i(h). Is j less than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + q - 9 = -q, 5*q = 2*g. Suppose 4*o + 1 = -5*x, 0 = 4*o - 2*x + 6*x + 4. Let t = 7 + o. Solve -p = -3*y - t, p = -2*p - g*y - 19 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 102 + -100. Solve u = m + 2, a*m - 6 = -3*m + u for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -100563\/22 - -13712\/3. Find the common denominator of s and 13\/162.\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -17 + 14 + (-14 - (-5 - 4)) - -58?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2438 + 2443. Let s(q) = -q**2 + q - 1. Let t(i) = -6*i**2 + 13*i - 9. Let j(x) = -5*s(x) + t(x). Calculate j(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.77 - 561767?\nAnswer: -561768.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.002 + 74.998. Let c = x + -74.99999943. Round c to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3652 (base 9) in base 8?\nAnswer: 5240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6677 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3118 = -4*f + 8*f + 2*k, 6 = 2*k. Calculate the remainder when f is divided by 60.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**8)**21 assuming z is positive.\nAnswer: z**168","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + 36\/(-6) - (6 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 4*i + 15 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/6, 47, 6\/5, 0.11, -0.4?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -164568915 divided by 1\nAnswer: -164568915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*m = 69*m + 28920. What is the hundreds digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 721634 is divided by 195?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 46.8 - -357.2. Let y = a + -440.7. Let c = y + 37. What is the closest to -9 in 3\/7, c, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeehaeehesshharehrre. Give prob of sequence aea.\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 57667 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of s**4\/24 + s**3\/6 + 385*s**2. Let h(p) = 2*p. Let d be -1*2\/5*-5. Determine d*h(f) - 3*l(f).\nAnswer: f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11*p**2*v - p**2 - 1739*p - 3*v - 2468 wrt p?\nAnswer: -22*p*v - 2*p - 1739","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 122535094?\nAnswer: 122535094","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*(4\/12)\/(12\/(-288)). Solve -x*w = -3*w + 65 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -7*w + 86. Calculate n(13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 + 8. Suppose 0*h + n = 5*h. Suppose x - 27 = 5*v, -x - v + 3*v + 12 = 0. Calculate the remainder when h is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3807.426 months in decades?\nAnswer: 31.72855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 i, and 2 l when four letters picked without replacement from {i: 2, g: 4, l: 5, s: 8}?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 93085 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f - 20*f + 600 = 0. What is the smallest common multiple of f and 80?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5771657 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27736785?\nAnswer: 3, 5, 31, 59, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5856 = -315*s - 7606 + 180 - 5933 for s.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/4365450 and 143\/9810?\nAnswer: 4365450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 22347 (base 8) to base 16\nAnswer: 24e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - o**2 + 2*o + 3. Let s be z(0). Let t(c) be the first derivative of -c**2\/2 - 4*c + 2. What is t(s)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 649\/2880 - 1\/320. Suppose -5*z = -3*j + 58, j = -3*j - 5*z + 19. Suppose -5 = 6*a - j*a. What is the nearest to 0 in p, 0.1, a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - -122. What are the prime factors of b?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 5*h - r, -68*r - 15 = -73*r for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -112 + (0 - ((-19 - 8) + 1)).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c**2 + 4*c**2 + c**3)*(2 + c**2 - 2) + (-15 + 2 + 5)*(4*c**5 + 0 + 0).\nAnswer: -31*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -90.6371 - -90.18. What is y rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-56) - (47*(-14)\/(-8225) - (-1181)\/(-5075)).\nAnswer: -8\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/6*(0 + 1 + -4). Suppose -2*a = c*a + 8. Let u(x) = 2*x + 3. Calculate u(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 plus 94127261264493?\nAnswer: 94127261264493.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -6*y + 231, -6999*y = -5*l - 7001*y + 247 for l.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/7? (a) 1 (b) -0.2 (c) 0 (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/6*(-12)\/152. Which is the second biggest value? (a) -0.4 (b) 1\/6 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - 5a?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 61182013 to the nearest integer?\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 51687079.9 take away -4?\nAnswer: 51687083.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 8:02 PM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -0.2, -6\/5, 3\/2, -274.9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1377))**2 - ((0 + sqrt(17))*-3)**2.\nAnswer: 5355","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -4*l + 60. What is the lowest common multiple of l and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t - 43. Give q(-21).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ugyu. What is prob of picking 1 y and 2 g?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/80)\/(240\/1280).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -16 (b) -2\/7 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**2 - 76*a - 73. Let p be t(-37). Solve -b + 3 = p for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*g**2 + 29*g**2 - 6*g**2.\nAnswer: 17*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-4)*13\/(-13)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f = 17*f - 2*g - 13120, 2*f = -3*g + 13090. What are the prime factors of f?\nAnswer: 2, 29, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -83*s - 1147. What is the smallest common multiple of m(-29) and 70?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 7 = 2*t - 8, 2*t - 5*j = 7. Let p = 2 + 4. Suppose 2*s - 16 + p = 0. Calculate the lowest common multiple of s and t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-1145*3\/(-3405) - 1). Which is greater: -907 or s?\nAnswer: -907","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 122 - (-44 - (-45 + (-20 - -1))).\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7945 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 106666?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1115 - 1101. Suppose 3*f - b = -5*b + 24, -2*f - 2*b + j = 0. Factor 2\/5*h + 18\/5*h**f + 0 + 6\/5*h**3 - 2*h**2.\nAnswer: 2*h*(h + 1)*(3*h - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 178?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 181209?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rooooooorooooooooo. Give prob of sequence ooo.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 + (11 - (-6 - 240)) is divided by 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1383617 greater than -1383613?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 959153.3l to millilitres.\nAnswer: 959153300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -71.1 - -75.1. Let i = -0.55 + -29.45. Is h bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 120, -47, -612, -1773, -3728, -6675, -10812, -16337?\n\"Answer: -33*n**3 - n**2 + 67*n + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f**2 - 105*f - 252. Let p(y) = -2*y**2 + 53*y + 127. Let u(n) = 9*p(n) + 5*q(n). Factor u(v).\nAnswer: -3*(v + 3)*(v + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.49253 - 3.\nAnswer: -3.49253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -5*n - 23 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 - -0.18. Let k = x + 16.92. Let v = k - 17. Sort v, 6, -2\/15 in ascending order.\nAnswer: -2\/15, v, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xvf when three letters picked without replacement from vfvvvxvsxa?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - 38*x**2 - 194*x + 2799. Determine a(6).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 - 16. Calculate the remainder when 43 is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 64*u - 898. Let l(r) = 2*r. Determine v(l(k)).\nAnswer: 128*k - 898","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -650*b**2*m**2 + 282*b*m**2 wrt b.\nAnswer: -1300*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 205165498 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52332840?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6706 - -6702. What is the third biggest value in 3\/7, 0.3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -782*q. Let y(m) = 1097*m**2. Calculate u(y(l)).\nAnswer: -857854*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.000303333 to 7 decimal places.\nAnswer: 0.0003033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*o - 37*o + 780 = 0. What is the smallest common multiple of o and 16?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1160415041 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -17, -2\/9, -62.36?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*n + 21 + 14 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + 5 + (-9 - (-11 - (5 - (-1 + -9))))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*k - 2*k + 131 - 539 = 4*k for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 2*y**2\/3 - 40154*y\/3 - 26772 = 0.\nAnswer: -2, 20079","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -2*n + 78, 3*n - 79 = -5*y + 38. What is the remainder when n is divided by 25?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4939 by 4939.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -22100122212?\nAnswer: 22100200001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6*5\/(-30)*129. Let o = t - 120. Solve -4*g - o = -g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (0 - (2 - -1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*a + 23071 - 47. Suppose -3*d - l + a = 0, 3*d - 9*l - 2898 = -6*l. List the prime factors of d.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 57968, 117052, 176136, 235220, 294304?\n\"Answer: 59084*y - 1116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 + 23*u + 106. Let q be p(-18). Solve 5*z - 20 = 3*b - 0*z, -4*b + 4*z = q for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(171)*4*-2 + sqrt(171))\/(-1*sqrt(9)*-5 - sqrt(9)).\nAnswer: 7*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (48 - 15) + -7 - 1. Calculate the highest common factor of t and 1425.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -4*q + 4*q - 202876*q**2 + 202880*q**2. Let t = 14 + -15. Give r(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/11, -337, -4, 2, -10\/9?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 784 + -766. Solve -k - 2*k + 10 = -4*i, -k = -5*i - h for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -398, -401, -406, -413, -422?\n\"Answer: -f**2 - 397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8 - 4 - (-4 - -2). Calculate the remainder when ((-3)\/(-2))\/(3\/m) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) -2 (c) 0 (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4.9 (b) 2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2551220 (base 7) to base 11.\nAnswer: 207310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24.1 - -1.9. Sort -1\/5, x, -0.5 in decreasing order.\nAnswer: x, -1\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + 5*y**2 - y + 7. Let v be ((-64)\/(-6))\/((-4 + 7)\/9). Suppose -8*g = v + 8. Determine n(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((12\/(-60))\/((-10)\/(-75)))\/((-33)\/1078*1).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 706143?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + -2 + -1)*-3. Let p = -1947 - -2027. Suppose -4*b + 4*x = -p, z*x - 80 = -5*b + 44. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k + 8. Let u(o) = 1. Suppose -3*x = c + 16, 0 = -x + 4*c + 113 - 114. Let d be 3\/x - 16\/40. Determine d*l(i) + 6*u(i).\nAnswer: -i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 11:24 PM?\nAnswer: 8:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19686*i**5 - i**4 - 43915*i.\nAnswer: -393720*i**3 - 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -23*q**2*z - 75*q**2 + 2*q + z with respect to z.\nAnswer: -23*q**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 4*z - 1. What is t(6)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 27*k**2 + 9*k + 5. Let m be y(-2). Are 94 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -19775.\nAnswer: 4\/19775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(3\/5)*c**(-20))\/(((c*c**(2\/19)\/c)\/c)\/c**15) assuming c is positive.\nAnswer: c**(-333\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**2 - l + l)*(-l - 2*l + l)*(5 - 5 + 7*l).\nAnswer: 14*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 14, 1, -15.3?\nAnswer: -15.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126306?\nAnswer: 2, 3, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 5*i + 226. Let q be b(-40). Suppose -q*d = -51 - 1. Calculate the lowest common multiple of d and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -14.7, -24, -5, 1\/6, 0.4, 5\/8?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 24\/9 + 2\/(-3). Suppose -x - f = -8. Let p be 18\/126 - 35\/(-49)*4. Sort x, -1, p, 2 in decreasing order.\nAnswer: x, p, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.136 (b) 0.14 (c) -135 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -5*c**3 - 3*c + 1. Let u(j) = j**3 + j. Let p be (2\/18*3)\/(16\/(-48)). Calculate p*m(s) - 2*u(s).\nAnswer: 3*s**3 + s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5616 - 5616 - 89*w)*(3*w + 8*w - 81*w)*(2*w - w + w).\nAnswer: 12460*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**5 + z**5 - z**5 + (-z**3 + 3 - 3)*(713*z**2 + 133*z**2 - 118*z**2).\nAnswer: -730*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jbbbjjjjjb. What is prob of picking 3 j?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -185157812.8 - -5\nAnswer: -185157807.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -501 in descending order.\nAnswer: 2, -4, -501","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -286313902 or -0.1?\nAnswer: -286313902","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 171, 170, 159, 132, 83?\n\"Answer: -j**3 + j**2 + 3*j + 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5308789298 rounded to 5 dps?\nAnswer: -0.53088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = s - 78, -5*s - f + 9 + 227 = 0. Let g(r) = -7*r. Let u be g(-1). Solve -u*b = 3*b + s for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2605.87 - -2169.312. Let f = -436 - k. Let g = -0.27 + f. What is g rounded to two decimal places?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-10))\/(112\/80). Let z = 20.156 + 1.644. Which is the second smallest value? (a) z (b) m (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104\/(-234)*(-2)\/(-4).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 489?\nAnswer: 493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 2*s + 0*s - 2*s**2 + 3*s**3 + 1 + s**4 to the form k*s**3 + q*s**4 + w + r*s**2 + d*s and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 74.03 - 1.03. Let g = 398.9566 - 471.95523. Let s = m + g. Round s to 4 dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*o - 34 = 182 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of -12*s**2 + 1\/1344*s**8 + 1\/60*s**5 + 0*s**3 + 1\/24*s**4 - 1\/420*s**7 + 0 - 1\/160*s**6 + 0*s. Let h(z) = 0. Calculate z.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9888 - 6529. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 39 = 3*z, -192*t = -193*t. Calculate the highest common divisor of 1703 and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 4*f - 24, -2*n + 0*n - 2 = -5*f. Suppose -5*b + 13 = 4*p - 0, 3*b = n*p - 5. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -53, -114, -177, -230, -261, -258?\nAnswer: -209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*t - 2 + 2 - 4*t + 0*t + 0*t - 2*t + 2*t + 4*t + (t + 2*t - 2*t)*(0 - 2 + 4))*(0*t + 12*t - t) to the form r*t**2 + n*t + p and give r.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.06 - -0.06. Let d = -1.335 + -0.365. Sort p, d, -0.2 in decreasing order.\nAnswer: -0.2, d, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 2. Suppose -z*x + 2*b = -78, -46 = -5*x - 5*b + 44. What is the highest common divisor of x and 171?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 321058485 a multiple of 855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 197506.1 millilitres to litres.\nAnswer: 197.5061","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 565\nAnswer: 575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -84 divided by -2?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2649.09 - 2650. Is l at most 0.14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2798, -2797, -2796, -2795, -2794?\n\"Answer: d - 2799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 5*w + 132, 147 = 3*g + g + 3*w. Is 14 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-18)\/(-144)*(-108)\/387. Let q = 0 + 1. Which is smaller: q or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8776413011 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 149 (base 11) to base 6\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1863)\/(-486)*(-108)\/(-45)*-5.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 2686.4\nAnswer: -8059.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 144?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31054*h**2 + 93261*h**2 - 31075*h**2 - 31092*h**2.\nAnswer: 40*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -v - 10. Let m(p) be the third derivative of -1\/12*p**5 + 0*p + p**3 + 0 - p**2 + 1\/120*p**6 + 0*p**4. Calculate m(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o**2. Let y(z) = -17*z**2. Give m(y(v)).\nAnswer: -578*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - 4) + 0 + 20\/6. What is the biggest value in h, 3, 0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u + 25 = 69 + 44 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - 1998\/24)\/(24\/(-32)). Is r at most 116?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a century in years?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*b*q**3 - b*q**2 - 2*b*q - 2*b + 2366*q**3 - 143 wrt q.\nAnswer: 24*b + 14196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 2:57 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*n - 158 + 5 = 0 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20377283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f**4 + 7*f**3 + 12*f**2 + 9.\nAnswer: -48*f + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 804894 is divided by 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -6 - -4) + (-22 - -3) + 5.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4543629?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 5*t - 18 = 0. What is the third derivative of 20*x**5 - 6*x**t - 20*x**5 + x**2 wrt x?\nAnswer: -720*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 1:19 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 31758.\nAnswer: 1\/31758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x**2 - 26*x + 2. Let y be d(-13). Solve 10 = -0*i + y*i + 3*g, -5*i + 8 = -g for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 2*w + 7685 - 7636 = 0, -w = 5*b + 29 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 63 + 44. Let f = i - 108. Does 6 divide f\/((-4 - -2)*(-1)\/(-60))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 7753399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 41*c**2\/2 - 126363*c\/4 + 1541\/4 = 0.\nAnswer: 1\/82, 1541","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/777 + 521\/2331. Which is the closest to -1? (a) 2 (b) 0.01 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 0*m + 0*m + 2*m - 3*m. What is u(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, g: 1, a: 2, u: 1}. Give prob of sequence aq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -6127*x**2 + 24*x + 584. Let m(b) = -4085*b**2 + 17*b + 393. Let d(s) = 5*f(s) - 7*m(s). Differentiate d(z) wrt z.\nAnswer: -4080*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 6:32 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -1602.596 to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 PM and 5:47 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 250488 - 64452 = 37*f. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -299937.7 to the nearest 100.\nAnswer: -299900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -249*d + 1502. Calculate y(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 42 = -4*z + 14, -l = 4*z - 59. Let s(r) = r**3 - r**2 + r + 30. Let v be s(0). Factor -m**3 + z*m**2 + 10 - 3*m**3 - v - m**3.\nAnswer: -5*(m - 2)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06315588 to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(76) + -3*sqrt(76))\/sqrt(2)*-2)\/(6*sqrt(200)*2 + sqrt(200)*-1*-2).\nAnswer: -3*sqrt(19)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -341101101 (base 5) to base 4.\nAnswer: -11233000230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110528 is divided by 196.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g - 11*g = 32. What is the remainder when 7*19 + 28*3\/(-12) is divided by g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5133\/79 - (-1887860)\/(-29044)\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2231344893?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of o**6\/40 - o**5\/60 - 5*o**2. What is the third derivative of n(y) wrt y?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42 is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 58\/3 of a decade in months?\nAnswer: 2320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -20953, -20957, -20961, -20965, -20969?\n\"Answer: -4*z - 20949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1440))\/sqrt(2).\nAnswer: 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1876042777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.725843 rounded to one dp?\nAnswer: 17.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + 14*l - 11. Let d be t(13). Suppose -n - d*y + 4 = n, n = -3*y - 6. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t + 4*t - 5*t)*(-2 + 6*t - t - 10*t)*(0 + 0 - 2*t**2 + 2*t**2 - 3*t**2 - t**2 + (-2*t - 4 + 4)*(0*t + t + 0*t) + 2*t**2 - 3*t**2 + 2*t**2).\nAnswer: 50*t**4 + 20*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1354400181572 and 8.\nAnswer: -1354400181564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25564006 and 988.\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-94)\/(-8))\/((-3)\/(-24)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.06 - 0.36. Let p = -19991 + 20009. Which is smaller: y or p?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, -2, -7, 40, 305 in descending order.\nAnswer: 305, 40, -1, -2, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (159 + (-6)\/3)\/1. Suppose -i + 41 = -4*j. Suppose 3*r = j - 2. Is r a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 55 = -25. Let b(w) = -70*w - 22. What is the remainder when b(h) is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1200111222 (base 3) to base 5\nAnswer: -2030212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25975921\/163815509 + 2\/346333. Let u = z - 1\/43. Let v = -4.8 + 4.4. Sort u, 1\/12, 4, v.\nAnswer: v, u, 1\/12, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1865 is divided by 1774?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -131.9 and 456267.\nAnswer: -60181617.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3\/9 - 688*f**2\/9 - 454*f\/3 + 228.\nAnswer: -2*(f - 1)*(f + 3)*(f + 342)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/11 (b) 13 (c) 5 (d) 0.43 (e) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19149127*r + 19149115*r + 19149119*r - 57447377*r.\nAnswer: -16*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -17*g - 2. Let x be z(-6). Suppose -3*u + x + 62 = 0. What is the greatest common divisor of 6 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*b + 12*b - 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 979*q = 174*q + 6445 + 12070 for q.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 426?\nAnswer: -1\/426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (4 + -22 + 4)) + -9 - -1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -31300 divided by -50?\nAnswer: 626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1c - 32e8?\nAnswer: -32cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 959.2593 decades in millennia?\nAnswer: 9.592593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 17\/4 + (-9)\/36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-15))\/(7\/(-21))*-1.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 - 6*a - 8. Let m be w(-6). Let r = m - -13. Suppose -13 = 2*h + 5*i, r*i = -3*h + 4*i. Which is bigger: h or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**9*s**2)**(-10\/19)\/((s**(5\/2)\/s)\/(s*(s*s\/s**6)\/s)*(s\/(s\/((s\/(s**(-1)*s))\/s)))\/s**8) assuming s is positive.\nAnswer: s**(-125\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - l**2 - l - 1. Let w(n) = 10*n**3 + 7*n**2 + 7*n + 7. Let a(f) = -24*f - 533. Let z be a(-22). Calculate z*w(m) - 35*r(m).\nAnswer: -15*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2690 + 2690.7. Which is the closest to m? (a) -11 (b) -0.4 (c) 3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201 is divided by 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5965?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -70 - -1368. What are the prime factors of s?\nAnswer: 2, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 - j**2 + j + 5. Let n be f(0). Suppose h - n*h = -2*o - 26, -3*h = 2*o + 33. Let r = o + 62. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(sqrt(7) - sqrt(336)\/sqrt(3)) + -3.\nAnswer: -3 - sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 9*f - 6*f**2 + 8 - f**3 + 5 - 5. Let r be q(-7). Let g(d) = 0*d + 3*d - 3*d + d. What is g(r)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4056 divided by -8?\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**2 + 6*a**2 - a**2)*(4 - a - 4) + 0 + 0 + a**3 - a**3 + a**3 - 2*a**3.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(189)*-1*3*-1)\/((sqrt(63)*-1 + (1*sqrt(567) - sqrt(567)))*-4).\nAnswer: 3*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 9*j + 71. Let b = 86 - 74. What is the lowest common multiple of h(-7) and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a minute in seconds?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 less than -244655?\nAnswer: -244717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -85019.416 rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -258*l**2 + 2535*l - 12257408 wrt l.\nAnswer: -516*l + 2535","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/163, -14, -1, -65, -0.3?\nAnswer: -2\/163","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10639 - -10641. Which is the nearest to -4? (a) 61 (b) o (c) 5 (d) -5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -538*l + 410*l + 2304 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 201111 (base 3) in base 2?\nAnswer: 1000001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2302122042 - 4?\nAnswer: 2302122033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*h - 6303746 + 6303746.\nAnswer: 11*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m**3 - 3*m**2 + 11*m - 8. Let y be (-27)\/(-4) + 39\/(-52). What are the prime factors of o(y)?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - -3 - (0 - 1) - -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + -26?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 15*o**4 + 23862*o**3 + 9499371*o**2 + 7450740*o - 53090100 = 0.\nAnswer: -795, -14\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 4, 0.4, 4\/9, -10.5, 0.04?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 122048?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z**3 + 181*z**2 - 60*z - 2701. Give x(90).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1356, -1350, -1340, -1326, -1308, -1286?\nAnswer: -1260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 605722?\nAnswer: 2, 13, 23297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 0 - (-10 + 6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -15 (b) 5\/4 (c) -1 (d) -5 (e) 2\/13 (f) 2828\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from bxbtjjxtbbtjxx?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.15 - 0.05. Let t = -0.1 - p. Is t <= 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that d**4\/5 + 41*d**3 + 5009*d**2\/5 + 9407*d\/5 + 4602\/5 = 0.\nAnswer: -177, -26, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 0.1, 1\/4, -1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 35852 - -8?\nAnswer: 35860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 5. Let c(r) = -3*r - 5. Let m be c(d). Solve -2*h = -m*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70 (base 8) to base 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -92*r**3 + 53*r**2 + 335*r - 35. What are the prime factors of y(-6)?\nAnswer: 5, 3947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1605?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 5*8\/(-20) - ((-319)\/(-107) - -3)?\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6053 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -45117 <= -45116?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**3 - 4*a**2 + 24*a + 51. List the prime factors of u(12).\nAnswer: 3, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in y**4\/8 - 43*y**3\/4 + 169*y**2\/8 - 21*y\/2 = 0?\nAnswer: 0, 1, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = p - 17, 658 = -2*p + 5*b + 677 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h**4\/11 + 206*h**3\/11 + 84*h**2\/11 = 0. Calculate h.\nAnswer: -2\/5, 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/108498 and -19\/43550?\nAnswer: 181734150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3185, 6356, 9527, 12698?\nAnswer: 15869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 498271523 and 3781?\nAnswer: 3781","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20226195 by 4.\nAnswer: -20226195\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.19291144 + -166.05.\nAnswer: -162.85708856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 2*r - 2*x - 4, -4*r - 3*x - 44 = 0. Let i(s) = -s**3 - 6*s**2 + 19*s + 26. Let z be i(r). Solve 0 = -0*o + z*o + 8 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12121 - 101111023?\nAnswer: -101032302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 803864?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((0 + sqrt(11))*-6 + -5 + sqrt(11) + -1 + 4) - (1 + (sqrt(11) + 0)*-1 + (-2*sqrt(121) + sqrt(121) - sqrt(121))\/sqrt(11) + 2).\nAnswer: -2*sqrt(11) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 57, 1\/2, 5\/138, 0.4?\nAnswer: 5\/138","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 55670456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 289 - 287. Let d(g) be the second derivative of 0 + 1\/2*g**u - 4*g - 1\/6*g**3. Calculate d(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/516 and -21\/2.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.78 - 4.78. Let g = -0.16 - -0.36. Which is the closest to g? (a) -0.3 (b) 0.2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 0*w = -11*w. Suppose 4*y = 12, w = -m - 4*m + 5*y + 85. Calculate the smallest common multiple of 14 and m.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15.18 - 1382.82. Let o = -1287.7 - n. What is o rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 - 3*c**2 + 2*c - 2. Let f be y(-4). Let p = 104 + f. Let j = p + -62. What is the highest common factor of 16 and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2436 + -2433. Let p(o) = 4*o**3 - 7*o**2 + 7*o - 9. Let s(n) = 2*n**3 - 3*n**2 + 3*n - 4. Let i = 72 - 79. Determine f*p(u) + i*s(u).\nAnswer: -2*u**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**4\/2 + 5931*k**3\/2 - 106326*k**2 + 1274184*k - 5093280.\nAnswer: -(k - 5895)*(k - 12)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w + 250 - 934. Let r = -110 - w. Suppose 0 = 2*g + 3*g + q - 124, r*g = -5*q + 95. Calculate the remainder when 41 is divided by g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -6, 18, 0.5, 2\/19?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-6)*(51\/68)\/((-8)\/(-208))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 908625984.\nAnswer: 2, 3, 7, 676061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, s: 10, g: 3, c: 2}. Give prob of sequence ggcc.\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/17396 or -1?\nAnswer: -1\/17396","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 6*z + 1539. Let k = z - -528. Is k a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4230 is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5 - 6*24\/(-18). Suppose -3 = -t*p + 21. Does 2 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 + 15. Suppose -3*b + 0*b = 6. Let p be (-4)\/2 + (-8)\/b. Which is smaller: y or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 + 1. Let n be d(3). Let w = 14 - n. Solve -w*l**3 - 3\/2*l**2 + 7\/2*l + 2*l**4 - 1 = 0 for l.\nAnswer: -1, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34)\/72*(13400\/1700)\/67.\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 927 is divided by 58.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-one halves of a minute?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8924978 + 31.8?\nAnswer: 8925009.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 848? (a) 1 (b) -19109 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*i - 43 - 34 = -8. Sort i, 0, -126 in descending order.\nAnswer: i, 0, -126","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7076.\nAnswer: 2, 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 3) in base 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2.50368 hours?\nAnswer: 9013.248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**2 + 56*p - 39. Is z(-29) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 1, -10, -74, 2 in decreasing order.\nAnswer: 13, 2, 1, -10, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2*r = 0. Let j be (6 + -7)*-15*1. Suppose r = 4*n - 71 + j. What is the remainder when n is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 432 and 4068.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00738 to 4 dps.\nAnswer: -0.0074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 109*-6\nAnswer: -654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -707753 - 3*l + 0*l + 707753.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 946066 or 946067?\nAnswer: 946066","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28*g*k**3 - 117*g*k**2 - 1702*g*k + 3*g - 89*k**4 - 3*k - 3 wrt k?\nAnswer: 168*g*k - 234*g - 1068*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4806)\/81*6\/(-4) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*g - 61 = 21*g - 5*o, g - 3*o = -31 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1838442*g**4 - 2*g**3 + 693*g**2 - 5813*g?\nAnswer: -44122608*g - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + 5*f**2 - 4*f + 1. Let a be o(4). Suppose -5*c - 8 + 18 = 0. Let k(j) = -a - c + 2. Let l(i) = i + 3. Calculate 2*k(y) + l(y).\nAnswer: y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 267879 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 - -22. Suppose r*c = 11*c - 573. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*v**5 - 1107*v**4 + 28179*v**3 - 46329*v**2 - 136368*v + 155628 = 0. What is v?\nAnswer: -393, -2, 1, 3, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -61 in 2387, -0.4, 0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 - 7. Suppose 2*k - v = -2*y, 0 = -y + k + 4*k - 5. Let x be (-84)\/(-35) - 2\/y. Solve 3*h + x*h = 5, m + 4*h = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 5*s + 20. Let u be 3 + (-2993)\/438 + 10\/12. Determine c(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 116 - 116. Let t be 4 + (2 + 2 - (-28)\/(-7)). What is the nearest to j in -0.5, -3, t?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 3*d - 33. Let k be a(5). Does 3 divide (24\/k)\/((-2)\/63)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a day in minutes?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from izlzpl. What is prob of sequence lziz?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -212010110 - -12112?\nAnswer: -211331332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 - n + 1. Let z(k) = 11*k**2 - 34*k + 30. Let l(j) = 4*u(j) - z(j). Let y(h) = 3*h**2 - 6*h + 5. Let t(o) = 2*l(o) + 11*y(o). Factor t(r).\nAnswer: 3*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l**2 - l**2 + 469*l - 457*l - 6*l**2 as y*l**2 + r + k*l and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4321, -17210, -38685, -68746?\nAnswer: -107393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 303018?\nAnswer: 2, 3, 50503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 921.\nAnswer: 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*9840.\nAnswer: -29520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.17 in 199.5, 4, 8, 0.5, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 28538787 and -0.06?\nAnswer: -1712327.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 404674.\nAnswer: 2, 31, 61, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 633 + -627. Suppose 2*d - 3 = 1. Suppose 0 = d*t - 5 - 31. What is the greatest common divisor of s and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-7))\/(((-56)\/49)\/(-8)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/8 - -11153*9\/36. Let i = c + -1801. What is the hundreds digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from vjjjjjjjjjjvvjjvjj.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7*(6\/2 - 1). Suppose 2*h + 5*s = -2*h + 66, h + 2*s = 18. What is the highest common divisor of h and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -7455, -29951, -67443, -119931, -187415, -269895?\n\"Answer: -7498*w**2 - 2*w + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.513 - -0.113. Let u = 14 + -12. Which is the fourth smallest value? (a) 3\/4 (b) -8\/5 (c) z (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h + h - 4, 5*p + 5*h = -410. Let r be p\/30 - -1 - -2. Let w be 8\/(98\/(-14)*(-2)\/(-7)). Which is the smallest value? (a) w (b) 3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 3*w - 4*w - 10, 3*a = w + 20. Suppose -72*m = -73*m + 4. Solve m*o - a = 11 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 11:38 PM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -2*u**5\/7 + 16*u**4\/7 - 12*u**3\/7 - 16*u**2\/7 + 2*u = 0.\nAnswer: -1, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20894)\/323857 - (166\/(-155))\/(-2).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -198 + 191. Let s = 6 - 6.17. Let n = 0.33 - s. Which is the second smallest value? (a) 2 (b) o (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**2 - 2*i**2 + 5*i + 0*i**2 - 2*i.\nAnswer: -2*i**2 + 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -522b25?\nAnswer: -522b28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 23 = -2*u, 5*u - a - 13 = 10. Suppose -3*b - u = 2. What is the units digit of (20\/8)\/(b\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 2. Let d(y) = y - 24. Let b be d(25). Sort 0.5, k, b.\nAnswer: 0.5, b, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of -7*c**6\/30 + 7*c**2\/2 - 7*c. Differentiate b(n) wrt n.\nAnswer: -28*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 + -15. Find the second derivative of l*y**2 - 356 + 356 + 11*y wrt y.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/8 of a microgram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jit when three letters picked without replacement from {t: 2, o: 1, i: 3, j: 1, p: 7}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 10 = -4*x. Let a be (6\/(-4))\/((-24)\/144). Suppose a = f - 2*n - 21, 2*n = x*f - 110. What is the greatest common divisor of 10 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.2 - -1.1999996. What is k rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 477.8709ng to kilograms.\nAnswer: 0.0000000004778709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 975 - 785. Calculate the least common multiple of 152 and l.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216*h + 64*h + 3472 = -90*h for h.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - 9*o + 8. Calculate l(-8).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of 2*a**6\/3 - 3*a**3 + 8*a. Find the second derivative of w(x) wrt x.\nAnswer: 240*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -129 and -709?\nAnswer: 91461","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -153 - -158. Solve 2*x - u*x - 4*b + 2 = 0, -4*x + b = 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2685 divided by 537\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7341, -0.1, 0.03436, 0, 0.5?\nAnswer: 0.03436","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s**2 + 45*s + 7. Let z(j) = j**2 + 20*j + 5. Let q(m) = m - 1. Let o(a) = -2*q(a) - z(a). Calculate -3*g(d) - 7*o(d).\nAnswer: -2*d**2 + 19*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + y**2 - 57*y**4 + 60*y**4 - 3*y**2)*(-1 + 15 + 7).\nAnswer: 63*y**4 - 42*y**2 + 42*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5204? (a) -0.4 (b) -1\/27 (c) -3\/10 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 7*u**2 + 6*u + 1. Let a = 52 - 47. Determine q(a).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*q**3 - 16216*q + 75849 wrt q?\nAnswer: -6*q**2 - 16216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -9523120.2 times 6\nAnswer: -57138721.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of 125*z**4\/12 - z**3\/6 - 2*z. Let v be k(1). Suppose -4*q + 444 = v. Calculate the greatest common factor of q and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23646220 is divided by 1818940?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -95139538*i**2 + 104408*i - 20.\nAnswer: -190279076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 270 and 135840?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 16*r**4 + 16*r**2 - 7. Let s(o) = 16*o**4 + 15*o**2 - 6. Let a(l) = -6*n(l) + 7*s(l). What is the third derivative of a(i) wrt i?\nAnswer: 384*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*n**5 + 30*n**6 + 34*n**5 + 42*n**2 - 22*n**5 wrt n?\nAnswer: 3600*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69236767 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7423 is divided by 1151?\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 7 = q. Let v = q - -7. Solve -2*a + 1 + 1 = v for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1265?\nAnswer: 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5377 - 4460*i - 8370*i + 2689 + 2688)*(-5*i**3 + 2*i**3 + 2*i**3).\nAnswer: 12830*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22449 + 673367\/30. Find the common denominator of 143\/48 and m.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in two ninths of a hour?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2 + 192*p - 76096.\nAnswer: 4*(p - 116)*(p + 164)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 11:17 AM?\nAnswer: 8:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -154, -4, 2, -1 in decreasing order.\nAnswer: 2, -1, -4, -154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.03087 + 9221.8\nAnswer: 9221.83087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 5*t**4 - 186990*t**3 - 12918180*t**2 - 297239810*t - 2279304945 = 0.\nAnswer: -23, 37467","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -4*a**2 - 6*a - a**3 - 5*a**2 + a**2 + 10. Let p be x(-7). Suppose p*y + 0 = 21. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/30*-9)\/(-15 - -19)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -10480\nAnswer: 1\/2096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 46655.06 centimeters in kilometers?\nAnswer: 0.4665506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5691792 and 152.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36 - (25 + 44 - 33)) + -5 + 0?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/939 and -119\/24.\nAnswer: 7512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 23066050 a multiple of 826?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 - (-88 - 4 - -4)\/(-2). Let k = y + 55. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (4 - 411\/30) + 2\/(-2) and -101\/120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5630672 a multiple of 254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -9, 0, 11, -7 in increasing order.\nAnswer: -9, -7, -2, 0, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 + 24*m + 113. Let j be s(-18). Let y be -3 + j + 0 - (3 + -3). Solve 0*v - y*v**2 - 8\/3*v**4 + 14\/3*v**3 + 0 = 0.\nAnswer: 0, 3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 8:28 PM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - -10)*(-473)\/(-33). Let w = -61 + g. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -6. What is the nearest to 2 in u, -2, -0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r - 5*a = -r - 10, -4*r = -a + 2. Find the third derivative of 6*d**2 - 89*d**3 + r*d + 0*d + 85*d**3 wrt d.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 163396 - ((-240)\/(-42) + 10\/35). What is s rounded to the nearest 10000?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 459 + -395. Calculate the highest common factor of 112 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*i + 13*i - 6*i - 17*i as m*i + u and give m.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 r, and 1 n when three letters picked without replacement from {g: 1, e: 2, r: 1, n: 1, o: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = -15, -4*c - 32 = 3*f - 8*c for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -4*r + 6, -5*r + 22 = -i + 2*i. Suppose 5*o = 4*a + 61, o - 13 = 4*a - r. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 31*y**2. Let v(m) = 20*m. What is v(i(a))?\nAnswer: 620*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 37?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -95, -102, -109, -116?\n\"Answer: -7*a - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-11)*b)**44\/(b\/(b**(-2)*b)*b*b\/(b**(-27)*b)) assuming b is positive.\nAnswer: b**(-470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 599473, 599460, 599425, 599356, 599241, 599068?\n\"Answer: -2*u**3 + u**2 - 2*u + 599476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -453, -473, -495, -519, -545, -573, -603?\n\"Answer: -z**2 - 17*z - 435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**2 + r**2 - 5*r**2)*(-6*r**3 + 5*r**3 - r**3 + (0*r - 3*r + r)*(7 - 7 - 4*r**2)).\nAnswer: -6*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 27*g + 20. Let b(x) = -18*x - 13. Let n(c) = 8*b(c) + 5*q(c). Let z(j) = -2*j. Determine z(n(l)).\nAnswer: 18*l + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1373 in -1, -4, 0.5, 0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3155?\nAnswer: 5, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 83207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5202*x + 40*x - 3214*x - 5525*x - 677*x + 3.\nAnswer: -14578*x + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -v - 36 + 98, 5*v + l = 206. Solve 156 = v*q - 3*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1919.5 and 4.\nAnswer: 1923.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 256226361 a multiple of 918?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 27 = 2*a. Suppose 0 = s + 4*j - 57, -a*s + 216 = s + 4*j. What are the prime factors of s?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 127*n**2 + 29*n**3 + 2*n + 2*n**4 - 121*n**2 + 0*n**3 as f*n**3 + h*n + o + x*n**2 + q*n**4 and give f.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 13) to base 2.\nAnswer: 11010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1173719?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 7*a**2 + 532*a - 12637. Determine y(-95).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -10, 5*t + 34 = 4*q + 2*t. Suppose -2*g + s - 5*s = -q, -22 = -2*g - s. Let x = -2 + g. Calculate the highest common factor of 55 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 + 2 = -5*g. What is the lowest common multiple of 5 and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 smaller than 153?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 - -12.0034. Round h to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4972907 and 129?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*t + 9*t + 22. Let k be t\/(-2)*(-1 + 2\/(-2)). Let s = -44 - -45. Sort k, s, 0.\nAnswer: 0, s, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from xxpp?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 7, s: 4}. What is prob of picking 3 s?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.2 (b) -1 (c) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p**3 + 37*p**2 + 143*p + 36. Determine x(-13).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 277722 divided by 3?\nAnswer: 92574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 363208?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 933461577?\nAnswer: 3, 347, 33211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 221001220 (base 3) to base 2\nAnswer: 100011101100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/((-7)\/14) + 2 + 0. Let l(h) be the second derivative of 5*h + 0 + 1\/20*h**5 + 11\/2*h**2 + 0*h**3 + g*h**4. Differentiate l(v) with respect to v.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (31\/2 - -1)\/(-9). Let o = h + 5\/2. Suppose 0 + o*i**3 + 4\/3*i + 2*i**2 = 0. What is i?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 2*z - 8 - 14, 0 = x - 2*z - 13. Suppose -x*p + 1897 + 497 = 0. What are the prime factors of p?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.016, 2, -4.88 in decreasing order.\nAnswer: 2, 0.016, -4.88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0129 times 0.2?\nAnswer: 0.00258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40795 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*f**2 - 4 + 5 - 10 wrt f.\nAnswer: 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppppp. Give prob of picking 3 p.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - 2 - (6 + 1 + (-18 - -14)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 88612070*q. Let h(c) = c**2. Give h(p(u)).\nAnswer: 7852098949684900*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of -o**5\/12 - 35*o**4\/24 + 20*o**3\/3 - 10*o**2. Factor h(f).\nAnswer: -5*(f - 1)*(f + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -19 - 7?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 - 12*t - 7. Suppose p - 3 + 9 = 2*y, -4*p = -4*y + 16. Let z(f) = -4*f**2 - 36*f - 21. Let h(d) = p*z(d) + 7*c(d). What is h(12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3560544 (base 8) to base 13.\nAnswer: 281b59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1+-296119\nAnswer: -296120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - x - 3418, 3*x = -3*m - 0*m - 3426. Let k be 6 + (-56)\/10 - m\/5. What is the highest common divisor of 12 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/5? (a) 0.004 (b) -4 (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 324 - 1925\/6. Let d = -6521\/9 + 727. Calculate the common denominator of d and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3 + (-2*sqrt(208) - sqrt(208)) + -2 + -4).\nAnswer: -60*sqrt(13) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7350939?\nAnswer: 3, 272257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/20)\/((-1)\/2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19984, -39968, -59952, -79936, -99920?\nAnswer: -119904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/5 + 561\/15. Let i be 16 + ((-4)\/(-2))\/2. Let q = c - i. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.17950058 to three decimal places.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*l - 7 + 17 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 341*f - 189*f + 334*f = -523*f - 6054 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b. Let t(l) = 4*l - 1. Suppose -2*u = -5*g - 4, -u + 0 + 2 = -4*g. Suppose -4*i = -g - 4. Give i*t(w) + 3*z(w).\nAnswer: w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 88723395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 - 17*z**2 - 10*z + 99. Let f be r(-16). Put 8\/3, f, 1, -0.3, 3\/46 in decreasing order.\nAnswer: f, 8\/3, 1, 3\/46, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j + 13. Let u be d(5). Let p be (130\/2 - 1) + -17 + 21. Sort u, 2, 1, p in descending order.\nAnswer: p, u, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*g**3*s*y**2 + 2543*g**3*y**2 - 31*g*s*y**2 - 2*g*y**2 - 3*s wrt s?\nAnswer: -3*g**3*y**2 - 31*g*y**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -566910, -1134012, -1701110, -2268204?\nAnswer: -2835294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 301, 1 in decreasing order.\nAnswer: 301, 4, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3*h + 7 = 0, -4*c - 5*h + 9 = -3*c. Suppose 6*x = 5*p + 3*x + 4, 4*p = -3*x - 14. Let t(v) = -2*v. Let f(q) = 1. Calculate c*t(o) + p*f(o).\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2177523687 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-2)\/2)*(-20)\/10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/39? (a) 2\/3 (b) -2\/3 (c) -1.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 + 27. Suppose 2*l + 19 = -f*m - 3*m, 0 = -l - 3*m - 12. Solve 2 = -2*n + l*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(-1*((sqrt(225) - (sqrt(225)*-2 + sqrt(225))) + sqrt(225)) - sqrt(225)))\/(-6*(sqrt(147) - sqrt(147)*-2)*4))**2.\nAnswer: 25\/1323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.465, 0.3, -2\/5, 2.\nAnswer: -2\/5, 0.3, 0.465, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + (-7 - (-10 + 10)) + -29.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-2))\/((-63)\/9)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t*t\/(t**(2\/19)\/t*t)*t\/t**(1\/22)*((t**24\/t*t*t)\/t)**27 assuming t is positive.\nAnswer: t**(272473\/418)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 310.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**2 + w - 3246*w**3 + 3248*w**3 + 22 - 16 to the form m*w**3 + x + s*w**2 + j*w and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 5*s. Let n be a(1). Let m = 387 + -383. Suppose 16 = n*x - m. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/8 and -91\/30851500.\nAnswer: 61703000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1083 + 1104. Let v(r) = 0 + 0 + 10*r. Let z(w) = 3*w. Determine b*z(n) - 6*v(n).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 765.805 weeks in hours?\nAnswer: 128655.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -143871374*n**5 + 1224418*n + 11 wrt n?\nAnswer: -2877427480*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of 2*y + 7\/3*y**3 - 1\/12*y**4 + 3\/2*y**2 + 0. What is the tens digit of i(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7716465 is divided by 964556?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4762206*k**5 - 578946*k.\nAnswer: 95244120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -3 + sqrt(25)\/sqrt(5).\nAnswer: -3 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.96 + -3.7. Let u = v - -0.54. Sort u, -0.21, 0.1 in ascending order.\nAnswer: -0.21, u, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5827 = 181*h + 3042 for h.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of 0 + 2*g**3 - 1\/160*g**6 + 9\/80*g**5 + 3*g**2 - 3\/4*g**4 + 0*g. Suppose h(q) = 0. What is q?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -585671\/4 + 144872. Let s = q + 1560. Let u = s + -273\/20. Which is smaller: u or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -35 - -21?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/13 in -1\/5, 140645, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/7, 22760, -3?\nAnswer: 22760","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 141\/218120 and -32\/71?\nAnswer: 15486520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/140 and -99\/8.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 c when two letters picked without replacement from ccwftcttftnnnwwwft?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**4 - w**4 + 2*w**4 + (-161*w + 69*w + 933*w)*(-3*w + 4*w**3 + 3*w).\nAnswer: 3362*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 + 3*i + 1. Let s be (-4)\/22 + (-70)\/(-22). Let c be d(s). Is c bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -41565, -83316, -125077, -166854, -208653?\n\"Answer: -a**3 + a**2 - 41747*a + 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b + -125?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(114)\/(sqrt(12)\/(-1*sqrt(2))))**2.\nAnswer: 8*sqrt(19) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 664 - 268. Let s = 1837 - b. What is the hundreds digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04 - 15132.\nAnswer: -15132.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 23331606323 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1048?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n**4 + 177*n**3 + 1335*n**2 - 10350*n = 0. Calculate n.\nAnswer: -10, 0, 5, 69\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 + 2 - 2 + (-2*o - o + 4*o)*(0 + o + 0) + 2*o**2 + 3 - 3 + 66*o**2 + 2*o**2 - o**2)*(3*o**2 - 3 + 4*o**2 + 1).\nAnswer: 476*o**4 - 136*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 9*i - 12 = t, 0 = i + 4. Suppose 0 = -g - 3*u + t*u - 25, 4*g - 4*u + 20 = 0. Let p(x) = -x + 16. What is p(g)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 3, 5, -5, 4, 255 in descending order.\nAnswer: 255, 5, 4, 3, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 41 - 9 = 0. Suppose 166 = 6*o - 32. Let k = o + w. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 117?\nAnswer: -11a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 265472 and 1342.\nAnswer: 2920192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2034*p - 166164. Calculate x(-81).\nAnswer: -1410","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*r - 32786 + 80046 = 0. List the prime factors of r.\nAnswer: 17, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.37 - -0.3. Let w = j - 0.13. Put 2, w, 0.2 in ascending order.\nAnswer: w, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*n - 9*n - 9*n = 0. Suppose 4 = -t - 5*d, n = t + 3*d + 2. Sort -4, t, -2, 2 in descending order.\nAnswer: 2, t, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 10*b**2. Let a(c) = -3*c - 15*c + 23*c. Calculate s(a(n)).\nAnswer: 250*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -2*s - 12, -18 = -3*n + 2*s + 2*s. Suppose n*g + v - 35 + 13 = 0, -4*v - 11 = -g. What is the remainder when 42 is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 - 4*s + 242. Give x(14).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2796*-0.1\nAnswer: 279.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -46? (a) 1\/3 (b) -4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {f: 5, v: 4, y: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 79523579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -74*-0.2944101\nAnswer: 21.7863474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 + 14*g + 49. Let b be t(17). What is the tens digit of 744 + -1 - (b + 3 + 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 103929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 438351*q**2*t**2 - 313767*q**2*t wrt t.\nAnswer: 876702*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 49a5 + -aa6?\nAnswer: 39aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 364 or 1088\/3?\nAnswer: 364","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.04463 and -1.\nAnswer: -0.95537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m = 21*m - 4308. What is the remainder when m is divided by 80?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 1085*z - 2174*z + 1089*z + 125*z**2. Let a(m) = 3*m. Calculate f(a(n)).\nAnswer: 1125*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -566.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -4*n + 21. Let m be g(5). Let a(o) be the first derivative of -3\/4*o**4 - 1\/5*o**5 + 0*o**2 - 2\/3*o**3 + m + 0*o. Suppose a(w) = 0. Calculate w.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 5*g. Let n(k) = k**2 - 31. Calculate p(n(z)).\nAnswer: 5*z**2 - 155","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.22 + 0.31. Let n = v - 13.09. Let i = -11 - n. What is the third smallest value in -3, -0.3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 25650472*d**3 - 25515131 wrt d?\nAnswer: 76951416*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 634042.8 years to decades.\nAnswer: 63404.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of -q**2\/2 - q - 3. Is g(-8) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, t: 4, y: 1, l: 3}. Give prob of sequence tntt.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -875040 + 316702 = -3080*q - 1991*q - 1738*q for q.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (-34 + -17)) + -21 + 26\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 c when two letters picked without replacement from {j: 1, c: 1, e: 1, k: 1, d: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-18)*-3 + (-471)\/(-6). Suppose -4*w = -h + 31. Calculate the greatest common factor of w and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that b**5\/3 - 19*b**4 + 240*b**3 + 900*b**2 = 0.\nAnswer: -3, 0, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 11*t - 13*t - 12, -5*t - 5*u = -15. Suppose 5*p + 10 = -5*d, t = -4*p - 5*d - 10 + 1. What is the nearest to -2 in 1\/4, p, -0.45, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33, -28, -25, -24, -25, -28, -33?\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 1000.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 2\/7, -798, 0.2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -223.52 + 226.52. Put 10\/9, 10.6, h in decreasing order.\nAnswer: 10.6, h, 10\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -844 - -1061. Is s a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/57*(-567)\/((-540)\/20)*132\/(-330).\nAnswer: -14\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -123*b*d**3 - 24246*b*d**2 + 32*b + 2*d**3 - 2*d**2 + 5926*d + 2 wrt d.\nAnswer: -738*b*d - 48492*b + 12*d - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qir when three letters picked without replacement from riqyxiiyxy.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-36))\/((-1)\/(-9))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2695 = 528*b - 143*b for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 124 + -70. Is u a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 3*l + b - 8 = 0, -l + 5 = b for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31514606?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add 416.6003 and 0.65.\nAnswer: 417.2503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6 + 4*(4 - 5). Suppose -m*c = -3*t + 9, -10*t = -6*t + c - 1. What is the units digit of ((-35)\/(-35))\/((-36)\/37 + t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -1\/37, -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/3 - 88\/3. Let u be ((-3)\/(-6))\/((-1)\/v). Suppose 0*l - 3*l + u = 0. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1242*r + 633*r + 6504*r - 3607*r + 10036*r to f*r + x and give f.\nAnswer: 12324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -4107*x + 23023. Determine c(6).\nAnswer: -1619","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1771 + 1147 = 78*l. Let x(s) = -13*s - 9. Determine x(l).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 50640000 to the nearest one million.\nAnswer: 51000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 47719 divided by -1\nAnswer: -47719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -39030760 to the nearest 1000000.\nAnswer: -39000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - 9a?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -6*p + 90. Determine b(16).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 + p. Let i(r) = -9*r**2 - 4*r. Let y(q) = -3*d(q) - i(q). Is y(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = -f - 4, -4*f + 0*f = 4*l - 8 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 l when four letters picked without replacement from {l: 5, v: 13}?\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1045 - 1044.97. Suppose -3*t = 2*t + 10. Which is the nearest to t? (a) q (b) 4 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48199 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-70)\/(-21)*(-22)\/(-22).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 31965895?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 326233600 a multiple of 448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2945, 2952, 2971, 3008, 3069, 3160, 3287, 3456?\n\"Answer: h**3 + 2944","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 452759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -5.7 (b) 2 (c) 10 (d) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n**2 - 5*n + 3. Let q(r) = -6*r**2 + 11*r - 5. Calculate 7*j(o) + 3*q(o).\nAnswer: 3*o**2 - 2*o + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 434936369?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 89 + -36 - (-26 + 22)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7365 - 81085\/11. Let n = a + 372\/55. Calculate the common denominator of n and -89\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, b: 3, q: 5}. What is prob of picking 2 q?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.080838 and 0.4?\nAnswer: 0.0323352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1584 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -541*m - 437*m + 978 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31881 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 848981 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 260 (b) -4 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0549546 + 0.0549. What is u rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of q**8\/20160 - q**4\/8 + 4*q**2. Let c(k) be the second derivative of h(k). Factor c(d).\nAnswer: d**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101110001111 (base 2) in base 6?\nAnswer: 52355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n + 8. Let m be d(-4). Let x = -2.01 + 2. What is the third biggest value in -1\/5, x, m?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a - 138*a**2 - 143*a**2 - 133*a**2 + 3*a + 598*a**2 - 124*a**2.\nAnswer: 60*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1676*h + 290358 - 281978 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = 24*j - 27 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19213751 to the power of 1\/2, to the nearest integer?\nAnswer: 4383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 17*i**3 + 9*i**2 - 166*i - 40. Does 8 divide m(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 281476 and 65?\nAnswer: 1407380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 5 = 2*y. Let q(p) = -p. Let k = -7 - -12. Let w be q(k). Which is the closest to -2\/7? (a) -1 (b) y (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((114\/(-14) - -5) + 4)*(-28)\/(-8). Solve 0*u - 3\/4*u**4 + 0 - 9\/4*u**2 - 3\/4*u**5 + 15\/4*u**j = 0 for u.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-88)\/(-20) + (-2)\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4c5a - -1d695?\nAnswer: 18839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 - -2 - (-26 + 22)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -152411.58 - -4.\nAnswer: -152407.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42150 divided by -3.\nAnswer: -14050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*i - 245 = -101 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 4*i**2 - 2*i**2 - i**2. Let h(a) = 7*a**2 - 12*a. Let o(v) = 8*v**2 - 14*v. Let t(b) = -7*h(b) + 6*o(b). What is w(t(y))?\nAnswer: y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 12844?\nAnswer: 12844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 927 - 929. What is the fourth biggest value in -0.4, 2\/5, 4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3104052 is divided by 258.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3292 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**4\/3 + 448*u**3\/3 - 12920*u**2 - 6353600*u\/3 + 836798000\/3.\nAnswer: -(u - 190)**3*(u + 122)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 958991 to the nearest integer?\nAnswer: 979","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26735 - -75088. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 f when four letters picked without replacement from ccfcqfcfqc?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 - f - 3. Let u be x(-6). Let i be (u\/91)\/((-6)\/(-4) + 0). Which is the nearest to -1\/13? (a) 1 (b) 4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11926427 by -19.\nAnswer: -11926427\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-3 - 93\/(-30)). Let q = -4 + y. What is the units digit of (q\/(-9))\/((-4)\/90)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 2*o - 12, 3*j = o - 10 + 4. Let u be (-3)\/(j - 1 - -3). Calculate the common denominator of ((-316)\/192 + 2)*u and 89\/14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 + -2035?\nAnswer: -2050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, j: 8}. Give prob of picking 1 j and 2 l.\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sxh when three letters picked without replacement from hhskkkkkxkhk?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of -z**5\/30 - 2*z**2 - 4. Let i(g) = 190*g - 3 - 60*g - 23*g + 3. Give n(i(s)).\nAnswer: -22898*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 146*x**2 + 244*x + 2176. Calculate the remainder when v(-9) is divided by 72.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2 - 9 - 5*p - 13*p + 2 wrt p.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 630, 1248, 1864, 2478?\n\"Answer: -o**2 + 621*o + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 301812 is divided by 150903.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60, -81, -86, -69, -24?\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18*m + 14 - 14)*(2 - 2 - 3*m + (4 + 1 - 3)*(0*m + 5*m + m)) as s*m**2 + y + h*m and give s.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - 5*s**2 + 2*s. Determine h(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + (16 - -3 - 32) - 30.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + 8*y - 8. Give x(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j + 12661 = -99*j - f + 3550, 25*j - 3*f + 273 = 22*j for j.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-11)\/33 + (-28)\/(-3) and 4\/(2*(-3)\/(-12)).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 7, p: 6, t: 3, x: 3}. Give prob of sequence xx.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 32 = 4*o - b, b = -3*o + 22. Let z be o\/14 + 7\/(-10). Sort z, 2\/5, 4 in increasing order.\nAnswer: z, 2\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + -1 + 1 + -3 + ((sqrt(3) + 1)*-2 - (-1 + sqrt(6)\/sqrt(2))**2).\nAnswer: -9 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1bba (base 13) in base 8?\nAnswer: -10161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v - 42. Let r be t(-15). Let m = 51 - r. Is 13 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 - 47*t + 186. Calculate f(5).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, x: 2, z: 1, o: 1}. What is prob of picking 1 o, 1 x, and 1 z?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 6 = -m + 2*y, 3*m + 12 = -4*y. Suppose m = 5*i - 2*g - 904, 149 = i + g - 29. Does 13 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71494 to the power of 1\/2, to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 4. Suppose -4*o = -2*n - 6, 4*o = 3*n - 0 + 5. What is the smallest common multiple of o and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-8)*68\/51. Differentiate -19*m - s + 37*m - 20*m - 4 with respect to m.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**5 - 15*j**4 - 51*j**3 + 63*j**2.\nAnswer: 3*j**2*(j - 7)*(j - 1)*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -77\/8710521?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/70 or -383?\nAnswer: -383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 + 7*c - 7. Let t be f(4). Solve t*b + 4*x = 6*b - 2, 0 = -3*b - 3*x + 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 2*z. Let q be y(-2). Suppose i + 4*i - 3800 = q. Suppose -j + 4*f + 284 = 83, 4*j - 5*f = i. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of -x**4\/2 - x**3\/2 + 7*x**2\/2 - 2791*x. Give a(5).\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25243 + -25194. Let y be (-1)\/4 - (-42)\/8. Suppose -y*g = -31 - 4. Calculate the greatest common factor of k and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 21685159.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1662 a factor of 128866494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/4 - u**2\/4 - 5*u\/4 - 3\/4.\nAnswer: (u - 3)*(u + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/(-18)*-2*114\/19?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(26) + sqrt(26) + (sqrt(2106) - 4*sqrt(2106)))\/(-6*sqrt(2)*-2))**2.\nAnswer: 125*sqrt(13)\/6 + 11725\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kzqzdq. Give prob of sequence qq.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 3:21 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = h + 2*h - 13, 5*h = -u + 25. Let s be (-668)\/14 - h\/21. Let p = 67 + s. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0473902184 to three dps.\nAnswer: -0.047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/(-15) - 10\/3. Suppose 0 = -8*q + 10*q + 5*k + 25, 4*k = 5*q + 13. Let s be ((-6)\/(-3) + -3)\/(q\/(-20)). Put -9, s, 5, z in descending order.\nAnswer: 5, z, s, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 AM and 10:03 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**3 - l**3 - l**3)*(3 + 0 - 2 + (5 - 3 + 0)*(-2 + 4 + 2))*(-32*l + 0 + 0).\nAnswer: 864*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 + 5 = 7*b. Suppose u = -b*u + 4*r, 2*u - r = 0. Factor 2\/7*p**3 + 2\/7*p**4 + u*p + 0 - 4\/7*p**2.\nAnswer: 2*p**2*(p - 1)*(p + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 20 = 2*l + 3*l, -3*r + 37 = -4*l. What is the least common multiple of r and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4582 - 4582. Solve -22 = -2*u - 5*a - 14, 5*u + 3*a - 1 = n for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -93*(-3580)\/16647 + (-1542)\/75\nAnswer: -14\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vcr when three letters picked without replacement from rqvvcvqvv.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -435*p + 1864 = -431*p. What is the hundreds digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -8*s**3 + 3*s**2 - 3*s. Let c(j) = -4*j**3 + 2*j**2 - 2*j. Determine 5*c(i) - 3*u(i).\nAnswer: 4*i**3 + i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -547, -549, -551, -553?\n\"Answer: -2*d - 545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + g + 2 = 0, 5*g + 8 = 2*w + 21 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 56*i**2 + 5*i**3 + 10 - 15*i - 27*i**2 - 29*i**2.\nAnswer: 5*(i - 1)**2*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 4 - -1) + (-57 - (-63 - 5))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 245, 494, 743, 992, 1241, 1490?\nAnswer: 1739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - 10*i**2 - 3*i - 18. Let z = -62 - -96. What is the remainder when z is divided by u(-10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*g - 2528 + 2744 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1408 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: What is -24260 divided by -20?\nAnswer: 1213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 126 - 375*b + 376*b - 5 - 88*b**4 wrt b?\nAnswer: -352*b**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 6*n**2 + 6*n - 74. Let i be v(6). Let b be 4 + (143 - -3) + -2. Suppose -390*j = -i*j + b. What are the prime factors of j?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 + 3*l**2 + 2*l - 5. Let i be q(3). Let h be 0 + 3 + 0\/i. Solve 10 = -h*s + s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3229590 is divided by 849?\nAnswer: 843","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 4140 = 690. What is the highest common divisor of s and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -74331974.01 less than -25.69?\nAnswer: 74331948.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 8*h**3 - 1. Let p be t(-1). Let k = -9 - p. Suppose -2*v - 18 = -2*m, -2*m + v - 4*v - 7 = k. Solve -m*b = -4*q - 5*b + 2, -q - 2 = -b for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 21*t - 1. Let f(q) = 22*q**2 + 3*q - 81. Determine f(d(v)).\nAnswer: 9702*v**2 - 861*v - 62","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23279, 93182, 209715, 372884, 582695, 839154, 1142267?\nAnswer: 1492040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1356*s - 717*s + 3029*s + 595*s + 2918*s + 2833*s.\nAnswer: 7302*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 33*d**3 - d**2 + 3*d - 4. What is the units digit of u(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 805.018089 rounded to two decimal places?\nAnswer: 805.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffuuutuujutjjujtu. Give prob of sequence fj.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3029 - -1667. What are the prime factors of ((t\/5)\/(-1))\/((-56)\/(-140))?\nAnswer: 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/5)\/(r*r\/r**(-2\/9)))\/(r**(5\/2)*r*r**(1\/6)) assuming r is positive.\nAnswer: r**(-247\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 7*f + 19 = d, f - 3 = -2*d for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g - 4*g + 2*g)*(2*g + 1 - 1) + 2*g**2 + g**2 - g**2 + 15*g**2 - 16 + 16 + (1 + 1 - 3)*(3 - 3 + 2*g**2).\nAnswer: 19*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01213638 to four dps.\nAnswer: -0.0121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - 298*o**2 - 2707*o - 17245. Determine y(307).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 82 = -2*w, 4*f = -f + 4*w - 134. Suppose -3*y = -a - 5*y - 18, -4*a - 3*y = 72. Let g = a - f. Solve 0*b - g = 4*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5194.58184ns to weeks.\nAnswer: 0.000000000008588925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -120 (base 4) to base 6\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*x - 12 = -3*t - 30*x, 5*t - 20 = -x for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2 = -4*h. Let p(o) = 0*o - 6*o**2 - 3*o + 4*o + 19*o**2. Is 8 a factor of p(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -834 (base 9) to base 3.\nAnswer: -221011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -x**4\/2 + 1379*x**3\/2 - 4131*x**2\/2 + 4129*x\/2 - 688 = 0.\nAnswer: 1, 1376","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -84 divided by 12\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3771 = 10*p - 2879. Let x = 43 + p. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 40 + -34. What is the first derivative of -9*l**2 - 15 - 2*l - 4*l + b*l wrt l?\nAnswer: -18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - 22*w**2 + 743*w - 16507. Calculate u(22).\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1849114\/6983537 + -354\/7649. Let p = 187\/7 - 46549\/1743. Let r = p + w. Which is greater: r or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/(-8))\/3 - 0. Suppose 2*x - 12 = 4*r - 3*x, -r - 6 = -2*x. Suppose -8 = -r*m - 4. Sort b, m, 0.2 in decreasing order.\nAnswer: m, b, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 86*u**2 - 4*u + 9. Determine l(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - 6*w**2 + w + 8. Let f be (2\/(-4))\/((-10)\/(-80)). What is l(f)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 576265 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12640*o + 331852 = -836*o + 72164 for o.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**2\/4 - 269399*i\/4 + 1077660 = 0. Calculate i.\nAnswer: -269415, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37 + 3. Solve q - 6*q - 19 = -2*f, 5*f + a = -5*q for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of 2*y**6\/15 - 5*y**5\/2 + 11*y**4\/6 + 4*y**3 + 140*y. Factor w(q).\nAnswer: 2*q*(q - 12)*(q - 1)*(2*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 257311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p - 1. Let f(i) = -3*i + 1. Let v be 796\/3383 - 162\/(-34). What is v*a(z) + 2*f(z)?\nAnswer: 4*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u**2 - 2*u. Let p be y(-2). Let d = -4 - -3. Put p, d, -2 in ascending order.\nAnswer: p, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - (-3 + 5 - 25). Suppose -2*f = 5*i + 8, -3*f - 4 = -5*i - 2*f. Suppose 3*q - q - 8 = i. Solve -5*j - u = 0, 2*y - 6 - q = 2*j for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8600785 is divided by 1075097.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 7 (b) 81 (c) 0.5 (d) 2\/55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18231?\nAnswer: 3, 59, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10208 and 47212.\nAnswer: 377696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 + 9*a + 1. Calculate f(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 8 = -4*w. Does 19 divide 189\/5 + w\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 298 - 298 - 6206*g**5 + 2659*g + 4924*g**5 wrt g?\nAnswer: -25640*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q**3 + 10*q**3 - 13*q**3 - 3*q**3.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -615005 - -332102833\/540. What is the common denominator of f and 137\/180?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 561 and 1244502?\nAnswer: 13689522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 44*g**2 + 295*g + 376. Calculate k(-6).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c + 3. Let i be g(-3). Let u(b) = i*b + 4*b - 3*b - 3 + 8. Determine u(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16790, -33580, -50370, -67160, -83950, -100740?\nAnswer: -117530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of 13\/12*h**4 + 0*h - 2*h**2 + 0 + 0*h**3. Let b(x) be the second derivative of -x**4\/12 - x - 25. Determine b(w(c)).\nAnswer: -676*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7535452*w**5 + 552481*w wrt w.\nAnswer: -150709040*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-14) - 0\/2. Let v(t) = -t**2 + 336*t - 18021. Let n be v(67). Let -4\/7 - 6\/7*g - w*g**n = 0. Calculate g.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + 9*g**2 + 853*g - 35. Let q = 6 + -3. Suppose 5*y + q = 88. Calculate the remainder when v(34) is divided by y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -328\/5 + 2106\/35. Let z = 6 + o. Let r = -0.5 - -0.2. What is the closest to -2\/5 in z, r, -1\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 15*t**5 + 5*t**3 + 2*t. Let v = -32 - -27. Let p(u) = -14*u**5 - 4*u**3 - 2*u. Let m(d) = v*p(d) - 4*z(d). Find the second derivative of m(n) wrt n.\nAnswer: 200*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**3 - 386 + 1229 - 453 - 390.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 330*p**2 - 27060*p - 8. What is u(82)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of -7997*r**4\/4 + 1700*r**2 - 1467. What is the second derivative of x(b) wrt b?\nAnswer: -47982*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 148 and 1702?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -93\/676888?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 5538 divide 1442936976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 11.1*-215.29\nAnswer: -2389.719","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-65)\/(-650))\/((-1)\/6)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 197 - 42. What is the highest common divisor of 31 and b?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7\/3 or -329?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23.8 + -10.8. Let l = -111 + k. Let d = l + 97.8. Which is the closest to d? (a) -2 (b) 3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 3*m = -1484 - 842, -4*j - m + 1854 = 0. Let o = -8854 - -8870. Calculate the highest common divisor of j and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (39132\/(-191312))\/((-6)\/8)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwhwhhwwwhh. What is prob of picking 4 w?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 9 = -0*i. Suppose i*o - 2*d - 44 = 0, -4*d = -5*o - d + 72. Suppose 2*m - 30 = -3*m. What is the greatest common divisor of m and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11241.9991795 - -11242. Round g to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 5:41 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225 is divided by 71.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - 9*j**2 - 45*j + 2. Let u be n(-6). Let c = 165 - u. What is the greatest common divisor of 32 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k - 1149 + 2315 - 1165. Let f(w) = -30*w - 21. What is 2*f(y) + 42*m(y)?\nAnswer: -18*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1806377 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6559.0005701 - -6559. What is o rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -531 and 7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/9948 and -91\/23354588.\nAnswer: 70063764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -6*t + 8*t - 3860, 4*q = -4*t + 3856. Calculate the smallest common multiple of 84 and q.\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 h, and 1 c when three letters picked without replacement from {a: 6, t: 3, h: 1, c: 5, y: 2}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(104)\/sqrt(4))\/(sqrt(2) - sqrt(22)\/sqrt(176)).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.2056165 to 3 decimal places.\nAnswer: 1.206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11230?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of r**11\/11088 - r**7\/630 + 7*r**4\/12 + r. Let z(l) be the third derivative of n(l). Find the third derivative of z(x) wrt x.\nAnswer: 600*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 bigger than 178\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 13. Suppose -v*u + 4*u - 18 = 0. Let y = -14 + u. Solve -t - 4 = 0, -y*o + t = -o + 5 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 33*k**2. Let b(n) = -3*n**2 - 3*n + 1. Let v(r) = 10*r**2 + 9*r - 3. Let t(m) = -15*b(m) - 5*v(m). What is 35*t(i) + 5*z(i)?\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -3*a**3 - 7*a**2 + 6*a - 17. Let b(n) = -54 - 3619*n**3 + 62 + n**2 - 3*n + 2*n**2 + 3620*n**3. Calculate 7*b(z) + 3*j(z).\nAnswer: -2*z**3 - 3*z + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 364 + -245. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of x**5\/20 - x**4\/2 + x**3 - 9*x**2\/2 + x - 22. Let r(p) = p**2 - p + 1. Calculate f(q) + 6*r(q).\nAnswer: q**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 13*u + 3. Let t(v) = 12*v + 2. Let z(h) = 2*l(h) - 3*t(h). Let o be z(-1). Suppose 0 = -n - 0*n + o. Is 5 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 15*d**2 + d. Let n be x(-1). Let c = n + -13. Let y be -1*c*84\/(-4). Calculate the highest common divisor of y and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260869 is divided by 86761?\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.014 - 0.124. Let c = f + 0.11. Sort -0.1, c, 1 in decreasing order.\nAnswer: c, 1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.954846 nanometers to millimeters.\nAnswer: 0.000009954846","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((26325\/600)\/117)\/(-4).\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 4177 = 18982. Suppose 0 = 11*k - 16*k + q. What is the highest common factor of k and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/126 and 85\/48.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 10173*o + 1342. Is m(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2*d = -0*s - 44, -2*s - d = -27. Suppose -50*g = -46*g - 12. Let k(u) = -2*u - 4. Let q be k(-3). Solve 3*t + q = s, 5*i - g*t + 12 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3*i**3 + 3*i**2 - 39*i - 5. What is o(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of 1\/6*h**3 + 0 - 1\/6*h**4 + 0*h**2 + 13\/20*h**5 + h. List the prime factors of r(1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 11.4. Let t = -3 + i. Let g = -399.5 - -404.5. Which is the nearest to -3? (a) -0.03 (b) t (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 AM and 7:57 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/551877 or -399?\nAnswer: -399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p**2 - 1. Let a(v) be the second derivative of v**3\/6 - v**2\/2 - v. Let g(x) = -5*a(x) - f(x). Is g(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -736963, -1473919, -2210873, -2947825?\n\"Answer: j**2 - 736959*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 3*n - 9600 = 0. What is n rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 455\/70 + (-8 - -5).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2 - 2*d**2 - d**2 - d + 8*d**2. Let p be c(-2). Suppose -p = -5*n - 0*n. What is the least common multiple of n and 7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 + 10*z**2 + 1. Let l be k(10). Suppose -4*s = -3*s - 13. Let r be s\/36 - 2\/8. Is l > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 13*s. Let u(x) = 671*x + 2. Calculate w(u(g)).\nAnswer: 8723*g + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.3978 - -1.3975434. What is s rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.019 and 416?\nAnswer: -7.904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 78403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 284 - 294 = 5*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*z + 19018 + 145487 = 0. What is the thousands digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14389826 is divided by 52?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5*z = -5*c + 21, -c - 5*z + 24 = 0. Let r be (302*-1)\/(c + 0). Suppose 71 = -3*n + r. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {u: 1, r: 3, i: 5}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 AM and 1:54 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -229 + 229. Let i be -5 + f + (7 + -3 - 2). Which is greater: 1 or i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 651570923 to the nearest integer?\nAnswer: 25526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 11 (c) -30347\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**3*j*j\/j**(-1\/6))\/(j**1*j)**(2\/49) assuming j is positive.\nAnswer: j**(1495\/294)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 4*l - 4. Let x be j(2). Suppose 3*t - x*t + 1 = 0. Solve 0*a = -a + t for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1130 divided by 113.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a\/a**5*a*a**25)\/(a**31*a**(-18)\/a*a))**8 assuming a is positive.\nAnswer: a**88","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -20268 divided by -6?\nAnswer: 3378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 + 41. Suppose -c = -a + 24. Suppose -3*d = -12, -n - n = -5*d - a. List the prime factors of n.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -68146, -68152, -68162, -68176, -68194?\n\"Answer: -2*f**2 - 68144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-2)*-17*(-20)\/(-1870).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*a**2 - 13*a**2 - 6 - 15*a**2 + 21.\nAnswer: -a**2 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47.2 + 47.19999701. Round p to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 345 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - (-3 + -5)) + 2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/15 (b) -22\/9 (c) -0.5 (d) 0 (e) 8\/13 (f) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 6 + 2)*(-3 + 0 + 1) + 1 + 2 - 2 + 13 + 0 + 5)*(-4*v**4 + 3*v**4 + 0*v**4).\nAnswer: -23*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-130))\/((-10029)\/(-33430)).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1721?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 13 = -4*s, -7 - 1 = s + 5*p. What are the prime factors of (-378 - 10)*s\/6?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + 4*o**2 - o + 9. Let r be 0 + (-42)\/(-12) - (-1)\/2. Let k be y(r). Suppose 167 - 6172 = -k*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -14\/3 (b) -16\/7 (c) 0 (d) -0.2 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(3\/((-6)\/2)). Suppose -5 = -g + 5*l + 30, -3*l = -x*g + 89. Does 10 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 369 and 410.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 19*m**2 + 33*m - 21. Determine f(-17).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1238030 + 1861970. Round o to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -464, 490, -34, -1 in decreasing order.\nAnswer: 490, -1, -34, -464","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 - 3*z. Let p(s) = -s**2 - 5*s. Give -5*p(y) + 8*w(y).\nAnswer: -3*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - -3) + (2 - 5). Suppose -3*b = -t + 4*t, f = 3*t + 4*b + 5. Put -1, 2, t in ascending order.\nAnswer: -1, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33137530 rounded to the nearest one hundred thousand?\nAnswer: 33100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -w - 1999, j - 21*w = -22*w + 1001. Suppose 2*k - j = -2*a, 6*a + 1985 = 10*a + k. What is the hundreds digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 1 - (12 - 2 - 3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(260\/(-39))\/20.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48450477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 7*o - 75 = 3*m, 0 = -3*o + 5*m + 61. What is the smallest common multiple of o and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100100 (base 2) in base 12?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4402354 + -4?\nAnswer: 4402350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 6*c + 5. Let t(z) = -5*z - 6. Calculate 3*t(r) + 2*y(r).\nAnswer: -3*r - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30 + 254. What is the least common multiple of z and 64?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, g: 4, i: 5, j: 5}. Give prob of picking 1 j and 1 v.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4*((-1)\/(-56))\/(5\/(-30)). Let s = -1\/5 - -8\/15. Which is greater: s or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*a + 85*a - 40*a.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -108 (base 10) in base 3?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qxqsqxxzsqz. Give prob of sequence sqs.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -1057515*z + 5287576. Give d(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 18 = 2*a, 2*a + 66 = 5*d + 39 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -47*q**2 + 8. Let v(a) = 44*a**2. Calculate v(d(x)).\nAnswer: 97196*x**4 - 33088*x**2 + 2816","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7090145 and 8615.\nAnswer: 7090145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -27 - -8693 - 2*3\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -143.11 - -139.11. Which is the second smallest value? (a) j (b) 2 (c) -1808\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j + 1. Let n(c) = 6*c - 8. Let f(r) = 5*n(r) + 40*p(r). Let i(h) = -4*h**2. Determine i(f(d)).\nAnswer: -400*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 5, 96 in decreasing order.\nAnswer: 96, 5, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10\/3)\/((-2)\/(-3) - 0). Suppose 8 = 4*k, 2*i + 2*i + q*k = 1226. Let y = -163 + i. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8055841818?\nAnswer: 2, 3, 1342640303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 50 divided by -9929\nAnswer: -50\/9929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 14 = t, -6*d = -3*d - 4*t + 10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 324700778 to the nearest integer?\nAnswer: 687","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/254496 and -91\/11568?\nAnswer: 254496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7\/8 + 13\/24. Let k be (-4 + (-82)\/(-21))*(7 + -4). Which is the closest to k? (a) f (b) -5 (c) -3\/5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1412898482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tpcrctcurrcctn. What is prob of sequence pt?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 52*t - 2443. Determine p(47).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2261160 and 1801505.\nAnswer: 2855","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (102 + -1)*1\/(-1). Is (r - -1)\/(-2) - (-1 - -6) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39 + 40. Which is the nearest to 6? (a) 3 (b) 3\/5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35144 - -35145.1. Let x = 1 + 0. Let o be (-15)\/6 + (x - -1). Sort -0.2, o, f.\nAnswer: o, -0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(425) + sqrt(425) + -5 + (sqrt(425)*-1 - sqrt(425)))*-4*-3)**2.\nAnswer: 3600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -6*c + 10. Let w(b) = -b + 2. Determine 3*g(v) - 14*w(v).\nAnswer: -4*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 104819603?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2035 or 2028?\nAnswer: 2035","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 192 + -264.43. Let w = -72.18 + 0.18. Let m = r - w. Round m to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001031728154 rounded to seven decimal places?\nAnswer: 0.0001032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*t + 3*d + 92 = -27, d + 33 = -3022*t + 3022*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, 9, 0.1, 3\/37 in descending order.\nAnswer: 9, 5, 0.1, 3\/37, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 161347 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 65 and 115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -4 (c) 13.3 (d) -0.1 (e) 0.03 (f) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -606, -2418, -5438, -9666, -15102, -21746?\n\"Answer: -604*j**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -75\/7 or -6?\nAnswer: -75\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*f = 1496619 - 1499475 for f.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 46948491 a multiple of 166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163 = 71*y - 305. Put -1\/3, -187, 3, -3, y in descending order.\nAnswer: 3, y, -1\/3, -3, -187","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from wwwwiiw.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = -3*n + h + 9, 5*n = h - 3 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 357738 or 357739?\nAnswer: 357739","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 9*x - 111933 = 0. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*o**3 - 40*o**3 - 64*o**3.\nAnswer: -115*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -669, -672, -677, -684, -693, -704?\nAnswer: -717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of o**5\/20 - o**3\/6 - o**2\/2 - 3*o. Suppose -3*g - 7 = 3*x - 5*g, -5*x = 5*g - 5. Let u be (1\/x - 2) + 1. Calculate z(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10586?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - 22\/(-4))\/(546\/364). Let m(c) = -c**2 + 3*c - 3. Let q be m(3). Let a = 4 + q. What is the closest to 0.01 in a, z, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*b - 18 + 8 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of -1\/6*u**3 - 1\/12*u**4 + 9*u**2 - 22*u + 0 + 1\/2*u**5. Find the second derivative of m(y) wrt y.\nAnswer: 60*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 2*w - w - 42 = 0, -3*z = 5*w - 44. Let y = -14 + z. Is ((-3377)\/(-22))\/(2\/y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-36))\/(18\/(-8)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34*g**3*r**3 + 137*g**3*r**2 - 13*g**2*r**3 + 13*g**2*r**2 + 3*g*r**3 - 2 wrt g?\nAnswer: -204*r**3 + 822*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -9*z**2. Let p(w) = 123*w. Determine p(x(q)).\nAnswer: -1107*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 15116, 16047, 18572, 23489, 31596, 43691?\n\"Answer: 133*o**3 - o**2 + 3*o + 14981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44587808 is divided by 179?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 + (22 - (-20 - -39)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -117 + (31 - -58) + -21.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/9 of a week in minutes?\nAnswer: 1120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 5*u - 3*u + u)*(3 + 3 - 4) + (-1 - 4 + 6)*(u + 2*u - 4*u) + 3*u - 4*u - 3*u + 0*u + 9*u - 2*u.\nAnswer: 8*u + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3\/20 + -1\/10. What is the closest to 1\/2 in 3\/4, i, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - m**3 + 2*m**4 + 3 + 23*m - m**2 - 6 - 14*m in the form t + x*m + q*m**2 + d*m**3 + b*m**4 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 357 - 211 = 0. Suppose 45*j - 1916 = 42*j + 5*d, -4*j + 2547 = d. What is the remainder when j is divided by u?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -12\/5 (b) 4 (c) -7333\/13 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 12) to base 8\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1035 - 1025. Calculate the greatest common factor of 370 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/5 smaller than -44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 152310131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 16) to base 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 4*t**2 - 6*t + 4. Let b(s) be the third derivative of -s**5\/30 + s**4\/8 - s**3\/3 - 4*s**2 - 8. What is -5*b(v) - 3*w(v)?\nAnswer: -2*v**2 + 3*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*(t*t**5)\/t*(t*t*t*t\/t**(-37)*t)\/t assuming t is positive.\nAnswer: t**47","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 7*s. Let j be -1 + 1 + 2 + 2. Let a be (-2 - -6)\/(8\/6). Let c(u) = -5*u + j*u + a*u. Calculate c(o(b)).\nAnswer: 14*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 50*u + 9 = -49*u, -x + 4*u + 8 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7387, -14775, -22163, -29551, -36939?\nAnswer: -44327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 2*r + 423. Suppose 23*y - r = 22*y. Is y a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39370334?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.08 - -0.08. Let n = 0.01 + -0.11. What is the nearest to n in -0.5, r, 0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 900\/(-100) + -3 + (-66)\/(-5) + 0. Which is the nearest to 1? (a) q (b) -2\/9 (c) -0.5 (d) 225\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -176473.3302 rounded to the nearest 1000?\nAnswer: -176000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + o = 696, -14*w - o - 236 = -15*w. Is w a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -151050305*n + 533370291 wrt n.\nAnswer: -151050305","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5026 (base 7) to base 3\nAnswer: 2101021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -2200112122?\nAnswer: 2200112201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -156cb4?\nAnswer: -156cb8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2 + 4*5*-3*sqrt(1053))*-3.\nAnswer: -12 + 3240*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + -94?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 162481 and 46123?\nAnswer: 681282833","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 37490 and 322?\nAnswer: 262430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4*j = -11, 3*j + 12 = -2*x + 5*x. Suppose 2*w + x = w + 2*l, 4*l = -4*w + 16. Let d(i) = 2*i - 1 + 4*i**3 + 2 - 3*i. Determine d(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2196656 and 1.\nAnswer: 2196656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 138 - 129 - (78 - (-8 - (-12 + 2)))\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 1 = 3. Let u be (-2)\/(-1)*a*-1. Suppose -3*b = -b - u*o - 4, 3*o = 5*b - 31. Is 3 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -9*w - 25. Let j(u) = 50*u**2 + u. Give j(l(f)).\nAnswer: 4050*f**2 + 22491*f + 31225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2 + 15616*y.\nAnswer: 4*y*(y + 3904)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*m**2 + 0*m**2 + 0*m**2)*(3*m - 1 + 1) - 5*m**2 + 3*m**2 + 0*m**2 + 2*m**3 to l + s*m**2 + g*m + y*m**3 and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 63 - -453. Suppose -y = 4*h - h + 4*t, 3*h - t + 531 = 0. What is the remainder when 21 is divided by h\/(-24) - 4\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from {h: 6, x: 7}.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - 3*b**2 - 3*b - 2. Let q = -3 + 5. Suppose -2 - q = 2*h. Let l be j(h). What is the nearest to l in -5\/2, -1\/6, 4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**3*u**3 + 9*c**3*u**2 - 28*c**3 - 2832*c*u**4 + 3*c*u**2 wrt u?\nAnswer: 6*c**3 - 67968*c*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6241087, 6241082, 6241077, 6241072, 6241067?\n\"Answer: -5*k + 6241092","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m + 316 = 4*s + 9*m, 5*s = -m + 395. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/(-70) - (-8)\/(-28)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5028 + 0.465173944?\nAnswer: -5027.534826056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 12*n**3 + 1694*n**2 + 3403*n. Let c(v) = -22*v**3 - 3388*v**2 - 6805*v. Let r(k) = 7*c(k) + 13*j(k). Factor r(h).\nAnswer: 2*h*(h - 849)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 205 + -70. Calculate the greatest common divisor of 54 and x.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.9732322 hours in days?\nAnswer: 0.123884675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 382235, 382317, 382399, 382481?\n\"Answer: 82*d + 382153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z\/(z*z**(-6))*z*z**(-11\/7) assuming z is positive.\nAnswer: z**(45\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r - 1. Let s(d) = -d**2 + 3*d - 3. Let b(i) = 6*j(i) + s(i). Let u(q) = q**2 - 6*q - 14. Let y be u(-6). Let h = 64 - y. Determine b(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -79227636*k**3*v**2 - 55923310*k**2*v + v**2 wrt k?\nAnswer: -475365816*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-15)\/9 + 1)*(-45)\/6. Suppose -5*h = 3*d + 1 + z, -5*d + 4*h + 27 = 0. Solve 2*n - s + 3 = 0, 2*s = 3*n - d*s + 1 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 - 12. Let v = d - 4. Suppose -z + 8 + 56 = v. Calculate the highest common factor of 16 and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of 3 - 1\/4*l**4 + 4*l - 5\/3*l**3 + 3*l**2. Calculate n(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + f**2 + 3. Let h be a(0). Let l = 26 - 17. Let p be (-2)\/l - (-148)\/18. Solve -h*j + 4*o + p = 0, 1 = 3*j + o + 3 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1142163?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 2679*v + 2675*v = -5, 5 = -h + 5*v for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 5*u**2 + 2*u - 3. Let i be j(3). Suppose s - i = -3*s. Let f be ((-8)\/s)\/(3\/(-18)). Solve -4*d - f*z - 24 = 0, 27 = -5*z + 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2240860, -2240785, -2240710?\n\"Answer: 75*z - 2240935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 16\/4 - 32*-1. Let i = s + 19. Suppose -56*o + 587 = -i*o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 149.3, -85, -4?\nAnswer: 149.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 4*c + 8, c = -10*t + 12*t + 2. Solve t = -4*l - 9 + 13 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -274c (base 14) to base 8\nAnswer: -15420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 8. Let u = -12 + 40. Suppose -3*t - u = 4*j, 2*t = -4 - 4. Are j and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5549065?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide (2299638\/(-55))\/(-6) + 12\/30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -9*v**2 + 7*v + 4. Let h(g) = -1 + 4*g**2 + 5 - 8 + 2 - 3*g. Give 7*h(w) + 3*x(w).\nAnswer: w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -3, 0.3, -841?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from {m: 4, f: 10}?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 AM and 1:05 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.28 - 4.18. Let u = 118 - 152. Which is the nearest to h? (a) u (b) -0.1 (c) 0.5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*s + 423 - 4203 = 0. What is the lowest common multiple of s and 100?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 - 9*w - 9. Let x be v(-7). Suppose -45 = -x*l - 2*g, -2*l + 5*g - 1 = 2*g. Let i = -6 + l. Is i equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33 + 31. Let m be 66\/42 - (-2)\/o. Factor -2\/7*n**2 + m*n - 2\/7.\nAnswer: -2*(n - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -512, -0.1, -1\/7, 0.2, -128\/13?\nAnswer: -512","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*i**2 - 2 - 3*i**2 + 2*i**2 + (4*i - 11*i - 6*i)*(-2*i + 2*i - 4*i) in the form v*i**2 + t + y*i and give v.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 9 = -1. Suppose -a + 4*a - c*i = -14, 5*a - i = 5. Suppose -5 = a*s - 9. Solve -3*m - 27 = -3*j, j + 13 = -5*m - s*j for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 192*z + 2690. Let q be x(-14). Let u(t) be the second derivative of -10\/3*t**3 + 5\/12*t**4 + 15*t + 15\/2*t**q + 0. Factor u(j).\nAnswer: 5*(j - 3)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b**5\/11 + 122*b**4\/11 + 2*b**3 - 354*b**2\/11 + 124*b\/11 + 80\/11 = 0. Calculate b.\nAnswer: -20, -2, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(3\/7)\/h**(-2\/17))\/(h**(1\/2)*h\/h**(2\/13)))\/((((((h*h\/(h*h**8))\/h)\/h)\/h*h)\/h)\/(h*h*h**(-6)))**(-34) assuming h is positive.\nAnswer: h**(-633651\/3094)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttlzquunznzun. Give prob of sequence nuu.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.042226 and 26724.\nAnswer: 26724.042226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 - 2*q + 9. Let r be t(-4). Let y = -6 + 10. Solve -3*s + r = y for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.46 * -18.1219.\nAnswer: 8.336074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13549*l**2 + 2969*l**2 - 22*l**4 + 36*l**4 - 19*l**4 + 460*l**3.\nAnswer: -5*l**2*(l - 46)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 136\/51*12\/(-8). Let v(t) = -23*t - 76. Let z be v(u). Solve z = -s - 3*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -42 - 657. Let m be (-1)\/4 - (-8538)\/(-12). Let l = u - m. Calculate the common denominator of -1\/22 and l.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 + -21. Suppose -4*v + 396 = -4*f, f - i*f = 4*v - 366. Suppose 0*w - v = -2*w. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 15 = -0*d. Let o(z) = -10*z**2 + 4*z + 7. Let l be o(d). Let t = l + 174. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2\/3, 16.\nAnswer: 2\/3, 1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 474 and 3534822.\nAnswer: 279250938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g\/(g\/g**6))*g**(3\/10))\/(g\/g**(2\/25)*g**(4\/7)))**46)**(20\/3) assuming g is positive.\nAnswer: g**(-199364\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - 74. Let j be b(-9). Suppose -3*v + j = 4*c - 85, -3*c + 94 = -4*v. Is c even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 208 times 0.2?\nAnswer: 41.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, 0, -3039 in descending order.\nAnswer: 35, 0, -3039","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b**3 - 261*b**2 - 486*b + 2040 = 0 for b.\nAnswer: -85, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -54 (b) -2\/399 (c) -0.4 (d) -1\/31 (e) -8 (f) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/(((-20)\/(-48))\/(1320\/5544))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1327?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 10 = 2*y, -11*y - 3 = -4*n - 16*y for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 5*l - 25, -558*v + 4*l = -560*v + 14. Put v, -1, -5, -2, -4 in descending order.\nAnswer: v, -1, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-4) - 10\/(-4). Suppose -4*n = -a*f + 32, f - 32 = -f + n. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1402.1 to the nearest 100.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((4 - 39504)\/(-5))\/(1\/150). Round v to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 31, 76, 167, 316, 535, 836?\n\"Answer: 2*s**3 + 11*s**2 - 2*s + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35 - 31. What is the second derivative of 4*j**4 + 15*j - 2*j**t - 14*j wrt j?\nAnswer: 24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = s - 15*s. Suppose -i - 2*f + 460 = -120, 0 = -5*i + s*f + 2840. List the prime factors of i.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 7*l**3 + 2*l**2 - 6. Let y(f) = f**2 + 1. Let c(z) = -z - 10. Let o be c(-4). Let t(v) = o*y(v) - x(v). Find the third derivative of t(s) wrt s.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4529*a**2*s**2 + 760*a*s + a - 11*s**2 wrt a?\nAnswer: 9058*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.062 + -0.952. Let n = -2.89 - k. Which is the smallest value? (a) 4 (b) 23 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - -7. Let i(j) = -7*j**2 + 56*j + 7. Let n be i(8). Solve y = 4*u - 3*p - 2*p, -n = -3*u - p for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21440)\/(-60))\/(-67) + 2750\/600?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - (-3)\/(-3) - -5. Let p be (15 + -19)*(-1)\/2. Find s such that s - m*s**2 - 4*s + 2*s**p + 4*s + 2 - s**3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1323*n + 12483 = -64*n for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 10*m**2 + 14*m + 8. Calculate the remainder when ((-48)\/14)\/((-122)\/4697) is divided by r(11).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6256 = 12*p - 10*p. What are the prime factors of p?\nAnswer: 2, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 12*x. Let v(a) be the first derivative of 5*a**3\/3 + 40. What is l(v(d))?\nAnswer: 60*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*h - 2*a = -10*h - 68, 4*h + 3*a = 91. What is the highest common divisor of 1408 and h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 1343*c. Let f(i) = 29*i. What is f(r(l))?\nAnswer: 38947*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-137*u**2 - 2624*u + 2624*u)*(u + 2 - 2) - 4*u + 2*u + u**3 + 0*u**3 in the form q + y*u**2 + f*u + k*u**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 31218 and 1595.\nAnswer: 4526610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 97*n**2 - 340*n - 5341. What is p(-94)?\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-312)\/(-9) - (-1)\/3. Let h be (60\/k)\/(4\/14). Calculate the highest common factor of h and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -419796 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 4*p**3 + 4*p**2 + 10*p - 3. Let c be j(-4). Let b = 654 + c. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-24)\/(-3) + -4 + 2. Let c(x) = x**2 - 12*x + 9. Let w(i) = i. Let g(k) = c(k) + 6*w(k). What is g(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 944 divide 19264858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -27*c + 9. Let b be y(-9). Suppose 96 = -4*s + b. Is 10 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -0.096, 2, 5, 14, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -0.4, 0.589 in ascending order.\nAnswer: -0.4, -1\/4, 0.589","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.08 - -0.9. Let v = -0.82 + s. Let f be (1\/(-1))\/(1\/(-3)). What is the second biggest value in f, 0.5, v?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**2 + 13*m + 3. Let j be u(-7). Solve j*t = -t - 11 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-13)*x)\/x)\/(x\/x**(-17)) assuming x is positive.\nAnswer: x**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -4, 1.4 in increasing order.\nAnswer: -4, -3, 1.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-6)*g**(2\/5)*g**7*g*g**(-1\/2))**29 assuming g is positive.\nAnswer: g**(551\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p + 7. Let c be v(-2). Let n(i) be the first derivative of 3\/2*i**4 + 3 - 3*i**2 + 0*i**c + 0*i. What is the second derivative of n(k) wrt k?\nAnswer: 36*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 963 + (-10 - -4) + 4. Let n = -236 + w. Is n a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (w - 5*w + w)*(4*w**3 - 3*w**3 + w**3) + 0*w**2 + 0*w**2 - 2*w**4 - 2*w - 5*w - 45*w**4 + 6*w as s*w + q*w**2 + o*w**3 + b + y*w**4 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 - -0.2. Let l = 0.4 - g. Let z = -0.5 - l. Which is the smallest value? (a) -0.4 (b) 4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -2.09. Let u = i + -3.99. Let h = u - -3.6. Which is greater: 1\/2 or h?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71319021 is divided by 815.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of -131*o**6\/120 + o**5\/60 - o**4\/12 - o**3\/3 + 541*o**2. Let z(v) = -v - 7. Let b be z(-6). What is the tens digit of q(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*a + 96 = 3*b - 4*a - 6*a, 0 = 3*b + 4*a - 125 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 2\/7, 0.15, -0.114, 0.6?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - c + 4*c - 628 = 0, c = 0. What is the hundreds digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11642 - -7539. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-4))\/((-126)\/(-336)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m - 1. Suppose -16*f - 4264 + 4280 = 0. Let i(z) be the second derivative of z**3\/2 - 8*z. What is f*i(s) + r(s)?\nAnswer: 4*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p**2\/5 - 40122096*p\/5 + 134148548952768\/5 = 0. Calculate p.\nAnswer: 6687016","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.28*-1727.\nAnswer: 483.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -625*o**4\/4 - 4405875*o**3\/4 + 2643675*o**2\/4 - 528745*o\/4 + 17625\/2.\nAnswer: -5*(o + 7050)*(5*o - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1021*g - 32724 - 38964 = 1966*g for g.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5374, 0.\nAnswer: -4, 0, 5374","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 55*s - 129687 - 118528. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 42 = -6*m + 3*m, -4*m - u + 65 = 0. Suppose 5*o = -2*t + m, -2*o + 7*o - 16 = -t. Solve -6*q + q - 2*d = -4, 9 = -o*q - 5*d for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of h**5\/15 - 3*h**4\/8 + 17*h**3\/6 - 33*h**2. What is the units digit of j(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -18*s**2 + 24534*s - 171685. Calculate m(7).\nAnswer: -829","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -196 by -49.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -2\/7 (c) 123\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -87 divided by -35?\nAnswer: 87\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 184912*t + 1849115. What is w(-10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/64820 and -33\/130865098.\nAnswer: 1308650980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a meter in millimeters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/2*-8*7*10\/560?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*b - 64*b + 270. Let g(r) be the second derivative of -1\/2*r**5 + 0 + 0*r**2 - 2\/3*r**4 - 7*r - 1\/15*r**6 + 0*r**b. Factor g(p).\nAnswer: -2*p**2*(p + 1)*(p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.11, 1, 5, 852\/169?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l*l*((l**(-4\/5)*l*l)\/l*l)\/l)**(-31)\/(l\/(l**(2\/67)\/l)*l*l*l*l*l**(-43)) assuming l is positive.\nAnswer: l**(-31212\/335)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3061366952?\nAnswer: 2, 7, 7331, 7457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 90 = 4*t. What is the highest common divisor of 24 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-12) - (-49)\/3. Which is greater: w or 13?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 23 = -2*o, 3*s = o - 3 - 1. What is the highest common factor of o and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/21)\/b)\/b*b*b**(-1\/18)*b)\/(b*b**12)**(2\/9) assuming b is positive.\nAnswer: b**(-383\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 172 + -180. Does 29 divide (0 - -1)\/(t\/(-3248))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2 + 947*c - 74460.\nAnswer: (c - 73)*(c + 1020)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -30*c**2 - 16*c + 2. Let r be v(-5). What is the units digit of (-16)\/(-56) - r\/14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -5 + 4 - (-8 + 5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -65 + (59 - 16) - (32 + 2)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 221 - 491. Suppose -2*p = 3*p - 125. Let m = p - b. 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 817 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 10757?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**3 + 751396235896*l**2 - 751396235896*l**2.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 95403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*v**4 + 7*v**2 - v wrt v?\nAnswer: -432*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -138, -1239, -4314, -10377, -20442?\nAnswer: -35523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1274, -5151, -11610, -20651, -32274, -46479?\n\"Answer: -1291*h**2 - 4*h + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -8118, -3, -6, -1, 5 in decreasing order.\nAnswer: 5, -1, -3, -6, -8118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 1 - 8. Let c = 1 - -1. Suppose f*s = 9*s - c. Is 1\/14 greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 11, g: 3}. Give prob of picking 2 g.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1056731 to the power of 1\/2, to the nearest integer?\nAnswer: 1028","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -28*d + 139. Solve 0 = d*v + b + 7, -7 = 3*v - v - 3*b for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -90602 + 132708. Is y a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -6 - (576\/(-9))\/(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of -o**6\/120 + o**5\/6 + 5*o**3\/6 + 30*o**2 - 109*o. Let k(z) be the first derivative of v(z). Calculate k(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 173177 and 28.\nAnswer: 4848956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002788 to six decimal places.\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 + 6*y**2 - 216*y - 1616. Give p(-8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/(sqrt(2) + sqrt(50)*6 + sqrt(2)) + ((1*sqrt(160))\/sqrt(8))\/(sqrt(100)\/sqrt(360)).\nAnswer: 195*sqrt(2)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 394*p - 261*p + 111*p.\nAnswer: 244*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 568 + -405. Which is bigger: 161 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r**2 + 0*r**2 - 3*r**2 + 5*r**2.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18952, -18963, -18988, -19033, -19104, -19207, -19348, -19533?\nAnswer: -19768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -509.38 - -0.2\nAnswer: -509.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s. Suppose 101 = 4*k + 1. Let o = 24 - k. Let q be m(o). What is the highest common divisor of q and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 301722374?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -95 + 94. Let j = y + 29. What are the prime factors of j?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of o**3\/3 + o**2\/2 - 13*o - 533. What is r(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 527000 rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2636, 2908, 3182, 3458, 3736?\n\"Answer: w**2 + 269*w + 2366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4.08 * 54\nAnswer: -220.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)\/(sqrt(36)\/sqrt(3)))\/(sqrt(132)\/(sqrt(44)\/sqrt(4))).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 a when three letters picked without replacement from aoczaaav.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 902171.8 years to millennia.\nAnswer: 902.1718","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/4)\/((-2)\/4). Suppose 12*u = 2278 + 1238. Let x = u - 288. Sort x, 3, -2, a in ascending order.\nAnswer: -2, a, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in 0.7, -2\/7, -4526?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004085 rounded to seven decimal places?\nAnswer: -0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 3776?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1222 and 546986?\nAnswer: 7110818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9492751*m**3 + 21307633?\nAnswer: 28478253*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e + -d30?\nAnswer: -d3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 586039529 a multiple of 5484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 15\/11, 0.4, -4 in ascending order.\nAnswer: -4, 0.4, 15\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -9968162.2 rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -8*x - 218. Give p(-25).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ksgkskgsgr. Give prob of sequence gggs.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y + 9. Let x be a(4). Suppose -5*h = 5*f - h - 610, 5*h - 615 = -x*f. What is the remainder when f is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13318 is divided by 173?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2339599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 187 divided by 546.\nAnswer: 187\/546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -116 + 201. Differentiate -23*b**2 - 7*b**2 + m - 25*b**2 - 61 with respect to b.\nAnswer: -110*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 134523 (base 6) to base 7\nAnswer: 52044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-4 + (-172)\/(-44)). Suppose 0 = -7*t - k*t + 396. Calculate the least common multiple of t and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -88, -367, -834, -1489, -2332?\nAnswer: -3363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*1.43902.\nAnswer: -4.31706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 58*p**3 - 2*p**2 + p + 5.\nAnswer: 348*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**5\/5 - 34*p**4\/5 + 213*p**3\/5 + 1292*p**2\/5 + 1444*p\/5.\nAnswer: p*(p - 19)**2*(p + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 123236564 and 1212?\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.16 + 1.26. What is the second smallest value in 4, 0.4, -2, n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express f - f + f**3 + (-3*f**2 + 5*f**2 - f**2)*(25*f - 24*f - 15*f) as y*f + i*f**2 + q + g*f**3 and give g.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t**2 + 89*t - 5. Let z(o) = 8*o**2 - 183*o + 11. Determine 5*a(i) + 2*z(i).\nAnswer: i**2 + 79*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -35 + -560948?\nAnswer: -560983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.18 - 0.14. Let o = -106 + 167. Let l = o - 63. Which is the smallest value? (a) 5 (b) t (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 0 + 10*a**2)*(-a - 6*a + 3*a).\nAnswer: -40*a**3 - 8*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/406 and -31\/174.\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6312990787?\nAnswer: 19, 332262673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1\/(g**(-9)*g))\/((g**(2\/5)*g*g)\/g*g\/(g*(g*g*g\/(g**(-1\/2)\/g)*g)\/g)) assuming g is positive.\nAnswer: g**(121\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/36)\/(299\/5382)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70658909.4 rounded to the nearest 10000?\nAnswer: -70660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64, 67, 82, 115, 172?\nAnswer: 259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49240679?\nAnswer: 31, 51239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 2045 - 2005. What is the smallest common multiple of b and 408?\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 718487, -1, -441 in decreasing order.\nAnswer: 718487, -1, -441","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45315976?\nAnswer: 2, 5664497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) 2\/15 (b) -6\/17 (c) -2 (d) 15252\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/630*-7*5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 23 = -5*c - 4*o, -4*c - 18 = 2*o for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + 10*a**2 + 19*a + 190. Let k be q(-10). Let g(c) = 5*c - c**2 - 3*c - 12000 + c**3 - c. Let x be g(k). What is x rounded to the nearest 1000?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m + 55 = 2*m. Let s = m + 16. Suppose -4*p + 8 = 2*w, 6*p = 3*w + 2*p - 62. Calculate the remainder when w is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1791, -1802, -1827, -1872, -1943, -2046, -2187, -2372?\nAnswer: -2607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 24.5297527 to one dp.\nAnswer: 24.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -7312758 divided by -1218793?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 + r**2 + 3*r**2)*(4 + 2 - 4) + 0*r**2 + 5*r**2 - 3*r**2 + (-4*r**2 - 4*r**2 + 4*r**2)*(0 - 1 + 7).\nAnswer: -18*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -19.49909\nAnswer: -38.99818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1004, -999, -992, -983?\nAnswer: -972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-13)\/(-78) - (-34)\/12. Differentiate -35 + u*r**4 + 15 + 9*r**4 with respect to r.\nAnswer: 48*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 59*s + 130429 - 130134 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -7.3\nAnswer: 0.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -6*v + 409. Let d be n(67). Solve -d*b + 17*b = -20 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (37170\/(-24780))\/(6\/14)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -0.8 (b) -8 (c) 55\/8 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1901267 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - (11 + 0 - 3)) + -12.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 2*u - 58648 = -4450, -u = -5*m + 67765. Calculate the greatest common factor of 112 and m.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-14\/9))**(1\/23) assuming c is positive.\nAnswer: c**(-14\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 PM and 4:23 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 164*c**3 + 12*c**2 - 19*c - 16. Let d be m(2). Solve d*j - 24 = 1300*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 10*n**2 - 10*n + 8. Let w be g(9). Is w at least -73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 752.8155 millennia?\nAnswer: 75281.55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiii when four letters picked without replacement from {i: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11621.89 litres to millilitres.\nAnswer: 11621890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2612\/17147 - -2\/1319. Is 6 greater than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 6*a - 13. What is j(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 506273 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - 1. Let j be -9 - (2 + -1 - -2). Let y = b - j. What is the smallest common multiple of y and 7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 8*w + 25. Let z(g) = -23*g - 76. Give 8*b(m) + 3*z(m).\nAnswer: -5*m - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-1) + (-145)\/(-58))\/((-567)\/(-28))\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 f when three letters picked without replacement from ewawfaw?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 29136 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (12\/414)\/((-200)\/(-24) - 8)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -49*n. Let o(a) = -5483*a**2 + a. Calculate o(g(k)).\nAnswer: -13164683*k**2 - 49*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*i**3*o - 9*i**2*o + 274*i**2 - 67984*i - 2*o wrt i?\nAnswer: -24*i*o - 18*o + 548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 - 5*f - 10. Let h be b(7). Suppose 59*d - 268 = -91. Let q(k) = -2*k**2 - 8*k - 2. Let p be q(-4). Sort d, p, h in ascending order.\nAnswer: p, d, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20203200 (base 5) to base 3.\nAnswer: 22021111021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**5 + 3*u**5 + 0*u**5 + (5*u**4 + u**4 - 2*u**4)*(4*u + 0*u - 2*u) + 2*u**5 - 2*u**5 - 2*u**5 + u**5 + 0*u + 0*u.\nAnswer: 9*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1783 is divided by 791?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 2*k + 3 = -3*g, 4*k + 6 = 2*g for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -266.5\nAnswer: 106.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2*g + 16 = 0, -2*w + 8 = 2*g. Let n(o) = -o + 9. Let v be n(5). What is the remainder when w is divided by 6\/v - 6\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of 81*b**5\/5 + 81*b**4\/2 + 36*b**3 + 12*b**2 + 2. Factor o(t).\nAnswer: 3*t*(3*t + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of -5*l**8\/336 - 32*l**7\/21 - 64*l**6 - 4096*l**5\/3 - 40960*l**4\/3 - 6*l**2 + 2*l. Let f(y) = 0. Calculate y.\nAnswer: -16, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2376 and 2013.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1743431, 1743251, 1743073, 1742897, 1742723, 1742551, 1742381?\n\"Answer: a**2 - 183*a + 1743613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*s + 16*s - 7*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4*d = 65, -2*y - 3*d + 16 - 1 = 0. Let f = 81 - 71. Let c be (-14)\/f + 16\/40. Sort y, 1, c, 2 in descending order.\nAnswer: y, 2, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v - 19*v - 25 = 0, 3*f - 297750025 = 5*v. Round f to the nearest one million.\nAnswer: 99000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20225800117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 5747 divide 67539698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-14) - 130\/182. Let h(l) = 64*l**2 - 1. Let a be h(g). Calculate the greatest common divisor of a and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -263, -418, -561, -686, -787?\n\"Answer: g**3 - 162*g - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 15 = 10*i. Which is the third smallest value? (a) -4 (b) i (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 677 + -663. Suppose -12 = -4*t, -3*g + t + l = -4. Let f(y) = y**3 - 6*y**2 - y - 4. What is f(g)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppcpnpxrppppcppxcx. Give prob of picking 1 c and 1 x.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 1:01 PM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224*s - 20 = -220*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5110.33t to grams.\nAnswer: 5110330000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2171108 and 3404?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 88 = y - 6, -2*y - m = 179. Let u be y\/9 + (-1)\/3. Is (55\/(-2))\/5*u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12153373 rounded to 2 decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {p: 5, i: 5}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 divided by -20?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215*n + 337 - 910 + 1734 = -1634 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209 is divided by 53?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-5)*q*q\/q**1*(q**(10\/3)*q)\/(q\/((q\/(q\/q**(3\/4)))\/q)))**0 assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2470 and 205790?\nAnswer: 3910010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a millennium in years?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 3416132.\nAnswer: 10248396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15254 = -2801*s - 9955 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + 5*w**2 + 3. Let p be i(-5). Let j be (p\/(-6))\/(12\/(-8)). What is the third biggest value in -2, 0, j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22200 and 24420.\nAnswer: 244200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 7:59 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 697 + -626. Is r smaller than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 22*h - 152. Let j be (4\/12 + 1)\/(h\/42). Solve -3*k + 16 = -j*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of -x**4\/12 - 2*x**3\/3 + 93*x**2\/2 - 26*x. What is the derivative of v(k) wrt k?\nAnswer: -2*k - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = j - 0*j - 482, -3*j - g + 1398 = 0. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 13) in base 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -20. Let o(m) = -m**3 + 13*m**2 - 12*m + 8. Does 8 divide o(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/n**(-1)*n**(14\/3)*n*n\/(n*(n\/((n\/((n*n\/(n\/(n*n\/(n**(-7)*n*n)*n)*n))\/n))\/n))\/n)*n*n**(-3\/4) assuming n is positive.\nAnswer: n**(11\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 15, -4, 5, 13, 73, 0 in decreasing order.\nAnswer: 73, 15, 13, 5, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (112\/(-392))\/((-27)\/(-4914)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 2.228 (c) 0.2 (d) 1\/4 (e) -1.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 349690109?\nAnswer: 59, 5926951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -39 or -1303?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*r = -883 - 457 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, j: 1, v: 1, q: 2, b: 1, n: 1}. Give prob of picking 1 m and 1 j.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = w - 5. Find the third derivative of 9*v**5 - 3*v**2 + 3*v**2 + 4*v**2 - 4*v**w wrt v.\nAnswer: 300*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2108 + aac5?\nAnswer: cbcd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -111\/80696 and 65\/7101248?\nAnswer: 7101248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**3 - 3*t + 3*t)*(-t + 6*t + 4*t) + (0*t - 4*t + t)*(0*t**2 + 0*t**2 - t**3).\nAnswer: 30*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2192\/7 - -307. Calculate the common denominator of h and 37\/233.\nAnswer: 1631","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/3)\/x**4)\/(x\/(x*x*x*x**(2\/3)*x))**(1\/8))\/(x**(-2\/21)\/x**(-4\/9)*(x\/x**1)**19) assuming x is positive.\nAnswer: x**(-1625\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 8*w. Let o(d) = d**2 - 9081592*d. Determine i(o(z)).\nAnswer: 8*z**2 - 72652736*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) 97 (b) 5 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 i when two letters picked without replacement from djippjdij.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 607662 divided by -33.\nAnswer: -18414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(128) + -2 - sqrt(128) - (2*(sqrt(2) + sqrt(8)\/sqrt(4) + sqrt(2)) - sqrt(2)))**2)*5.\nAnswer: 100*sqrt(2) + 270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 79.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -653930 rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 11:17 PM?\nAnswer: 12:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1781, -1778, -1765, -1736, -1685, -1606?\nAnswer: -1493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -200313212133130 - 11?\nAnswer: -200313212133201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(4\/(-14)) + 2. Suppose -2*i - 3 = -t. Suppose 15 = -3*j, -j - 4*j + 752 = i*k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 8, q: 1, f: 1, y: 1, u: 4}. Give prob of picking 1 f and 1 r.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 13*w**2 + 35*w - 35. Let p(o) = -6*o**2 - 17*o + 17. Let b(g) = -9*p(g) - 4*s(g). Let d be b(1). Factor 4\/7*u - 10\/7*u**d + 0.\nAnswer: -2*u*(5*u - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*g - 567 + 5412 = 0. What is the highest common divisor of g and 1520?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1016 a factor of 742749082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 - 11339?\nAnswer: -11338.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-42)\/(-18) - 4\/(-6). Suppose -w = s*w - 20. Suppose 4*g + 8 = 2*d, -2*d + 6*g + 8 = g. Solve -4 = 3*m - 0*m - w*o, 2 = -d*m + 5*o for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5042160 and 0.015.\nAnswer: 75632.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1353 + 1393. Solve 36 = -o + h for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (48\/(-992))\/((18\/8)\/(-3)). Suppose -2*v = -3*d - 2, -6*d + 2*d + 4*v - 4 = 0. Suppose -5*m = 0, -4*g - 4 = -d*g + 3*m. Which is smaller: l or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 965 divided by 193\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4170 and 27413580?\nAnswer: 27413580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -1 + 3 + sqrt(19).\nAnswer: 4 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 474.13628685 + -25.13628325. Let g = d - 449. Round g to 7 decimal places.\nAnswer: 0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from ooiooiooo?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17558 + -17076. Solve -4*h = 0, 485*r + 5*h = a*r + 15 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**0)**(-29)\/(((f\/f**(1\/4))\/f)\/f)**(-1\/28))**(-3) assuming f is positive.\nAnswer: f**(15\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z**2 + 0*z**2 + 40*z**2)*(-z + 0*z - z) - 3*z**3 + 0*z**3 + z**3.\nAnswer: -74*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/1*(-6)\/9*-1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -i - 3*d, -1948 + 1941 = d for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 3*m = -8*m + 20, -3*m = -9. Let d(k) = k**2 - 5*k - 3. Let q be d(6). Let p(z) = -z**3 - 3*z**3 - 5*z**q. Calculate p(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + 35*z**2 + 234*z + 3. Let d be n(-9). Factor 6\/11*m**4 + 2400\/11*m + 0 + 246\/11*m**d + 240*m**2.\nAnswer: 6*m*(m + 1)*(m + 20)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2. Let t(z) = 6*z**3 + 3*z**2 + z. What is -2*a(h) - t(h)?\nAnswer: -6*h**3 - 5*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 110101002202120 (base 3) to base 10\nAnswer: 6576135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9078, -1, 4, -3.\nAnswer: -9078, -3, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {k: 2, g: 6, p: 5}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 2*f = -44, 4*f - 3 = 3*f. Let s = 1 - i. List the prime factors of s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of -n**4\/10 - 162*n**3\/5 - 19683*n**2\/5 - 1062882*n\/5 - 188. Factor q(m).\nAnswer: -2*(m + 81)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 3*z - 20. Suppose 3*y - 2 = 5*q, z*y - 41 = -0*q - q. Let g be 24\/(3 - y\/4). Calculate the highest common factor of 48 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rj when two letters picked without replacement from rrqqhqhqjrqhq?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3*(-1)\/9*18)\/(-2). Put 0.4, -5, p, 2 in ascending order.\nAnswer: -5, p, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/3)\/i*i**(-3\/5)*i*i)\/(i**(-1\/4))**(-50))\/(i**3*i**(-5\/2)*i**(-7)*i**(-5)) assuming i is positive.\nAnswer: i**(1\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2220 and 90?\nAnswer: 6660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-216)\/(-3))\/(-8))\/3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4.9, 5, -0.4, 3\/8.\nAnswer: -0.4, 3\/8, 4.9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-176)\/(-132)*(-1836)\/72\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 76 by -76.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-32)\/6*(-21)\/14. Suppose -12 = -n + 64. Suppose -n = 4*l - m*l. What are the prime factors of l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zeaqa. Give prob of picking 1 z and 1 a.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 - (18 + -11 + -26).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -708.9 - -709. Which is the nearest to z? (a) -5 (b) 0 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 46416524 and 1936.\nAnswer: 2042327056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.38 + 0.38. Which is the nearest to 2\/9? (a) g (b) 4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -167*z**4 - 3*z**3 + 506?\nAnswer: -668*z**3 - 9*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1050?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 106 + -105.82. Let w = 0.6955 + -0.512. Let z = k - w. Round z to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4*x = -l - 10, 3*l = 3*x - 9. Let f(v) = -v + 2. Let g be f(l). Put 9, -3, g in decreasing order.\nAnswer: 9, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 8:43 AM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 3*q - 2*n + 3*n, 3*q - 48 = 4*n. Calculate the lowest common multiple of q and 291.\nAnswer: 1164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -39 - -40. Let u be 0\/(-11) + (s - -2). Suppose p - 2700 = u*p. Round p to the nearest 100.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/(-3))\/((-1)\/327). Suppose -2*m = 5*h - 846, 2*h + 0*m = 3*m + f. Suppose 3*g = -0*g + h. Is 8 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 74?\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 195.525 times 0.09?\nAnswer: 17.59725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.75331 rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*v**4 + 2*v**4 - 5*v**4 + (-7*v**2 + 3*v**2 - 4*v**2)*(-3*v**2 + 2*v**2 + 0*v**2) + 1 + v**4 - 1 to j*v**3 + h*v + i + b*v**4 + s*v**2 and give b.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 75 = 20*d - 30 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -16*k + 5*k. Let y(z) be the second derivative of 0*z**2 + 0 + 1\/6*z**4 + z**k + 3*z. Let f(b) = -b. Give 6*f(o) + y(o).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 38434345 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0 (b) -31 (c) 2\/5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**3\/5 + 48*p**2\/5 - 27*p - 486\/5 = 0. What is p?\nAnswer: -2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2021 = -5*t, 3*t + 585 = -4*r - 631. Let o = -901 + 1516. Let k = t + o. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 3*s + 3. Suppose -2*v + 8 = -6*v. What is y(v)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**3 - 136142*m**2 - 2317987294*m - 39366448786 = 0. What is m?\nAnswer: -34027, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8\/113256159 or -1?\nAnswer: 8\/113256159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 973813485 to the nearest integer?\nAnswer: 31206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of -1\/6*q**4 - 2 - 7\/2*q**2 - 33*q + 0*q**3 - 1\/5*q**5. Let l(n) = -n**3 - n**2 + n - 1. Determine j(x) - 2*l(x).\nAnswer: -2*x**3 - 2*x - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -6*r**2 - 2*r - 2. Let w(y) = -20*y**2 - 3*y + 46. Let d(b) = 6*b**2 + b - 13. Let n(i) = 7*d(i) + 2*w(i). Determine -3*c(z) - 8*n(z).\nAnswer: 2*z**2 - 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 672050?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53, -1, -2\/3, 5 in descending order.\nAnswer: 5, -2\/3, -1, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7 * 0.13213.\nAnswer: -0.092491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 46*x**2 + 1742*x - 5880. Determine r(-41).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(0 + -5*sqrt(931)*1 + (sqrt(931) - (sqrt(931) + -1))**2 + 1).\nAnswer: -10 + 175*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -3*b**2 + 101505*b + 304542 = 0.\nAnswer: -3, 33838","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (28280\/15)\/(-8)*2637\/6153?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b**3\/5 - 46064*b**2\/5 - 14296363*b\/5 - 4760336\/5 = 0 for b.\nAnswer: -304, -1\/3, 15659","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11022120010020 (base 3) to base 9.\nAnswer: -4276106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-298)\/(-2086)*(-7)\/2*-14?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33) + (sqrt(33) - sqrt(1617)*3))\/(3*sqrt(147)) + 2)**2.\nAnswer: -76*sqrt(11)\/21 + 5735\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-1\/5))\/h)**(-3\/31)*h**(2\/11)*h**(-1\/17)\/h assuming h is positive.\nAnswer: h**(-25981\/28985)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + z + 1. Let n(b) = -8*b**4 - 5*b**3 + 11*b**2 + 5*b + 5. Let a(q) = n(q) - 5*r(q). Find the third derivative of a(t) wrt t.\nAnswer: -192*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31 - 1. What is the remainder when q is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, p: 3}. Give prob of picking 3 c and 1 p.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g*g\/(g\/(g**31*g)))\/g*g))\/g*g*g\/(g\/g**(3\/8))*(g\/g**(-2\/9))**(-15) assuming g is positive.\nAnswer: g**(-1199\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 680 and 1624520.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 38 or 51?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 + k**3 - k**2)*(-2 + 2*k**2 + 2) + 6*k**5 + 7*k**5 - 5*k**5.\nAnswer: 10*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*a + 24*a + 8 = 0. Which is bigger: a or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + x**3 + (x - x**2 - x)*(x - 2*x + 2*x) - 1 + 1 - x**3 + (2*x**2 - 3*x + 3*x)*(-2 + 2 - x) - 4*x**3 - 5*x**3 + 3*x**3.\nAnswer: -9*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*m*r**2 + m*r + 11*m + 658*r**2 + 33*r + 2 wrt r?\nAnswer: 28*m + 1316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 129585, 258968, 388351, 517734, 647117, 776500?\n\"Answer: 129383*l + 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 d when two letters picked without replacement from qdrgb.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1334 + 0.13338866. What is t rounded to six dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 328\/(-12) + 4\/(-6). Let g = t - -33. Suppose -684 = -9*y + g*y. What are the prime factors of y?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (63\/(-6))\/(2\/16). Let z = x + 269. Suppose r - z = 5*v + 58, 0 = -r - 2*v + 271. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(910\/3660) - (80\/13 - 6).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -128*d**3\/13 - 26848*d**2\/13 - 73106*d\/13 - 50094\/13 = 0.\nAnswer: -207, -11\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - -218?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(612)*1)\/sqrt(12)*-6)\/(((-1*sqrt(90) + sqrt(90))\/sqrt(6) + sqrt(15))\/sqrt(5)))**2.\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.7 - -38.5. Let n = -53 + l. Let u = -9.8 - n. What is the third biggest value in -1\/5, -3\/2, 1\/2, u?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -4*z**3\/7 + 16*z**2\/7 - 16*z\/7 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 3*n - 3*n - n. Let j(u) = 3*u - 6. Let x(h) = -1. Let f(v) = j(v) - 6*x(v). Calculate m(f(b)).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 39 + -78. Let d = c - -55. What is the highest common factor of 144 and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -1\/182, 3, 0.3, -120, 2 in increasing order.\nAnswer: -120, -2\/7, -1\/182, 0.3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -245*f**2\/6 + 43960*f - 11831520 = 0.\nAnswer: 3768\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 less than -5273202?\nAnswer: -5273205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 985.\nAnswer: 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -4657544?\nAnswer: -5\/4657544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 11117280 divided by 8056\nAnswer: 1380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18548 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 59350 and 150.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 3\/7, 1\/4, 2.\nAnswer: -0.4, 1\/4, 3\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 3*v + 15, 5*v + 4 + 8 = -h. Let s be 3*(-2 + (-66)\/9). Let j = 30 + s. Solve -h*n = j*n + m - 20, -n - 15 = 4*m for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 186 - 284. Let q = 254 + o. Let w = 155.488 - q. Round w to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -20*z + 1434. Let c(h) = 23*h - 1438. Give -7*a(m) - 6*c(m).\nAnswer: 2*m - 1410","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 60731000 rounded to the nearest one million?\nAnswer: 61000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 14730002 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3116496?\nAnswer: 2, 3, 64927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1.19 - 793\nAnswer: -794.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80128750?\nAnswer: 2, 5, 13, 4931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1848338*q**3*s + 3*q**2*s + 8937664*s wrt q?\nAnswer: -5545014*q**2*s + 6*q*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09 less than -157125?\nAnswer: -157124.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 161? (a) 0.5 (b) 4 (c) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 AM and 2:39 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 132\/726 - (-18)\/22. What is the common denominator of 11\/60 and b\/((-1)\/3) - (-198)\/105?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-24))\/(-1)*(-8)\/22.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of 783*q**5\/10 - q**4\/6 - 202*q**2 - 4861*q. Find the third derivative of t(z) wrt z.\nAnswer: 9396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*v**3 + 55*v**2 - 145*v - 195 = 0. What is v?\nAnswer: -13, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 48113538 divided by 10?\nAnswer: 24056769\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 7*d**2 - 9*d**2 - 8*d + 3*d**2 + 8. Let r be n(7). Solve y - r + 2 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1077 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: Calculate the common denominator of 71\/1950 and 7\/1394835.\nAnswer: 13948350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(350) + 3*sqrt(350)*1 + sqrt(350))*-5)\/(5*(sqrt(18) - sqrt(648)*1)\/sqrt(9)).\nAnswer: 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 212880585 to the power of 1\/3, to the nearest integer?\nAnswer: 597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 271938.7 hours to seconds.\nAnswer: 978979320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 4*z**2 + 3 + 0*z - 3*z**2 + 1 - 3*z. Let j be x(3). Let q(i) = i**3 - 5*i**2 + 4*i + 2. Let y be q(j). Round y to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*q - 14*q = -14*q + 4*q + 168 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 23786416 divided by 5014?\nAnswer: 4744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7.6 in 30, -5, 6\/29?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of -3 - 1\/6*m**4 - 1\/3*m**2 - 4\/9*m**3 + 0*m. Factor a(t).\nAnswer: -2*t*(t + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j**2 + 3*j - 5. What is q(-5)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -7*i**3 - i. Let x(l) = l**3 - 4*l**2 + 1. Let r be x(4). What is z(r)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -36, -5, 2 in descending order.\nAnswer: 4, 2, -3, -5, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/71, -252, -1, 0.1583?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 9) + (-5700)\/114 + ((-8)\/(-8) - 5)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 10:24 PM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/2*(-24)\/(-60). Suppose 2*w = 4*q + 80, -w = -23*q + 28*q - 12. What is the third biggest value in w, -0.3, f?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 5*m**2 + 52*m + 2. Calculate y(-10).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13662727, -13662729, -13662731, -13662733, -13662735?\nAnswer: -13662737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 18\/(-4) - 7\/14. Calculate the remainder when s + 5 + (-2 - -49) is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 839377879 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 0 - 33*v**3 + 2 + 32*v**3 + 4*v**2. Let x be b(4). Factor -111 - q**x + q + 111.\nAnswer: -q*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/(-72))\/(40\/(-32))*30\/(-5)?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2646 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: Which is the smallest value? (a) 46 (b) -0.038 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + f = 3 - 78, -2*g = -3*f - 55. Calculate the remainder when 764 is divided by g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/((-48)\/(-230))*((-34176)\/240)\/89?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 2*o - 60. Suppose -o = n - 4*n. Let b be 0\/((-2 - 4)\/3). Put b, n, -4 in increasing order.\nAnswer: -4, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2523?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(147) - (2*sqrt(3))**2*2.\nAnswer: -25 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 11:01 PM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l + 1. Let f be t(4). Let i(j) = j**2 - 5*j. Let p be i(f). Let n = 2 - 4. Do p and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-6) + 1225\/(-84) + (-117 - -131)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/3352 and -55\/20668.\nAnswer: 17319784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.086435 to four decimal places.\nAnswer: 0.0864","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-1*sqrt(44)*2)\/sqrt(4))**2.\nAnswer: -16*sqrt(11) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 124 = -4*t + 12, 0 = 2*m - 5*t - 47. Let i = 48 - m. Suppose -2*n = -5*p - 3 - i, 4*n = -p - 4. Solve 3*s = -n*s - 15 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0711 * -3.\nAnswer: -0.2133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3d884 (base 15) to base 10.\nAnswer: 197674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.9 - -0.6. Let x be 4\/8 + ((-2)\/(-12) - 2). Put x, 0.06, f in ascending order.\nAnswer: x, f, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 20*f - 250. Suppose -8 = 4*r, 5*r = -4*l + 7 + 15. Let h(w) = 0 - 2*w - 1 + w**2 + l*w. Let u(s) = -3*s**2 - 17*s + 3. Determine f*h(z) + 4*u(z).\nAnswer: -z**2 - 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1570 is divided by 48?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**2\/3 - 307718*a\/3 + 3385624 = 0. What is a?\nAnswer: -153892, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 187, 376, 591, 832, 1099?\n\"Answer: 13*s**2 + 150*s + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**(1\/80)\/w*w))\/w*w**(1\/12))\/(w**44*w\/w**(-4)) assuming w is positive.\nAnswer: w**(-11743\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -16. Let r = d - 13. Let q = 0.52 - 0.02. Which is the closest to 3\/7? (a) q (b) r (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7889976 by 72.\nAnswer: 109583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(126) - (sqrt(126)*-2 - sqrt(126))*-6) + sqrt(126))\/sqrt(7) + sqrt(72) + -2*sqrt(72)*1)**2 + 1.\nAnswer: 5833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 53 - 50. Suppose -c = 3*i + 4*c - 29, -20 = -5*c. Solve 0*a + x*a = i for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 3.64. Let s = -0.06 + d. Let u = s + -0.2. Which is smaller: u or 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 + 10*b - 8. What is the units digit of o(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20186, -40196, -60206, -80216?\nAnswer: -100226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n - 33*n - 112*n.\nAnswer: -142*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-6) + (-5)\/(-3). Let i(c) = c**2 - 2. Let s be i(z). Suppose -y = 3*x + 2*y - 21, -s*x + 2 = -2*y. Is 2 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67292 < 67037?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -49 + 43. Let r(z) = -z**2 + z - 1. Let c(q) = -q**3 - 6*q**2 + 6*q - 9. Calculate x*r(p) + c(p).\nAnswer: -p**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 11:16 PM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-12)*h**(-1\/4)*(h**(-4\/3)*h)**11 assuming h is positive.\nAnswer: h**(-191\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*q + 678 + 406 - 15*q - 17*q - 13*q.\nAnswer: -2*q + 1084","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 97\/(-388)*-1*2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of -y**5\/60 + 2*y**2. Let p(a) = -131*a**2 - 17. Let m(c) = 16*c**2 + 2. Let i(b) = -17*m(b) - 2*p(b). What is i(v(x))?\nAnswer: -10*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m + 5*m + 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32214*n**2 + 64467*n**2 - 32225*n**2.\nAnswer: 28*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-2\/31)\/r**(3\/10))\/((r*r**(-2\/3))\/r*r*r*r*r*r**2\/r*r))**(-1\/21))**2 assuming r is positive.\nAnswer: r**(757\/1395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, 3, -3, 5, 4 in decreasing order.\nAnswer: 42, 5, 4, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-10)*-40*(-87)\/(-25056))\/((-2)\/306)\nAnswer: 51\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 112.4 - 54.4. What is the closest to 0.2 in p, -1\/3, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 - 6*t - 6. Calculate the lowest common multiple of 21 and m(-1).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + -3 - (10 + 4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22867507 to the nearest integer?\nAnswer: 4782","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -3, 6, 0 in increasing order.\nAnswer: -6, -3, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + 9 + 7 - 59*v + 23*v**2 - 39*v**2 - 9 + 7*v**2. Is y(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 3987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 130860199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -31270 and -614.\nAnswer: 19199780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 150\/140539?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.546 - 0.546. Put -3, -5, d, 8\/5 in decreasing order.\nAnswer: d, 8\/5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -3440*u - 26. Let j be i(-1). Suppose -4*q + j = 4*c - 6*q, 3*c = q + 2558. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hygrgyeemrerg. What is prob of picking 2 y, 1 h, and 1 e?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3*j**2 - j**2 + 22 - 7 - 2*j + 3*j**2. Let i be m(-5). Solve -5*b - 15 = -i for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -344 + 428 = -18*q + 4*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/25 + 33\/100. Let q be (-100)\/(-16)*-2*12\/5. Let r = q + 272\/9. Which is the closest to u? (a) 0.5 (b) r (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -0*x + x. Let u = 2 - -20. What is the remainder when u is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14999691 - 0?\nAnswer: 14999691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -64, -116, -168?\n\"Answer: -52*d - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 12 + -40 - (-10 - (-2 - -2)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**5 + 19213*w**4 + 38422*w**3 - 2*w**2 - 38423*w - 19211.\nAnswer: (w - 1)*(w + 1)**3*(w + 19211)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 0.127296943\nAnswer: 0.509187772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 3744188?\nAnswer: 1872094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11116.\nAnswer: 2, 7, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*h**2 + 28*h + 24 = 0. What is h?\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 2. Calculate the remainder when 4 is divided by 3 + x*3\/(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lgullgul. Give prob of sequence lluu.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -1*sqrt(192)*1 + 0 + sqrt(192) + 3 + -4 + (sqrt(192) + 1 + -4 + sqrt(192))*-1)**2.\nAnswer: -160*sqrt(3) + 793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 12*z. Let m(i) be the first derivative of -6 - 15*i**2 + 0*i + 0*i + 0*i. Let f(y) = 5*m(y) + 12*r(y). Let u(l) = -2*l**2. Calculate f(u(s)).\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 276 and 278116?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**3 - 33*b**2 - 12*b + 1. Let m be k(17). Suppose -8 + 2 = -2*x. Suppose -x*y + y = -m. Is 11 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.31 + 3.91. Let r = l - -0.4. Which is the third biggest value? (a) 0.2 (b) r (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iff when three letters picked without replacement from {f: 3, i: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 320 = 16*t. What is the second derivative of -8*z + t*z**3 + 13*z + 82*z wrt z?\nAnswer: 120*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of 4*t**3\/3 - 524*t**2 + 68644*t - 277. Factor p(s).\nAnswer: 4*(s - 131)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/19, 1\/2, 4, -50\/7, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0*s + 2*s + 0*s)*(-50*s**2 - 60*s**3 + 50*s**2).\nAnswer: -120*s**4 - 60*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 55629?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -5, -788, 57?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 59784 a multiple of 106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -l. Suppose k - 25 + 13 = l. Calculate the remainder when k is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 18*x**3 - 19*x**2 - 2*x + 2. Let f(c) = -55*c**3 + 57*c**2 + 7*c - 7. Let g(a) = -2*f(a) - 7*s(a). Find the third derivative of g(y) wrt y.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.052 and -2125887251.\nAnswer: -2125887251.052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 141\/1420370 and -53\/10300.\nAnswer: 14203700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 PM and 8:32 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -9*h**3 - 5*h**2 - 3. Let o = 12 + -3. Let a be o\/(3 - (-24)\/(-9)). Suppose -5*v = -a + 2. Let x(f) = 4*f**3 + 2*f**2 + 1. Determine v*x(k) + 2*n(k).\nAnswer: 2*k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -27, -3\/5, 2\/17, 1\/5?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 174 + -169. Suppose j*q + 9*q = 70. Solve -p - 5*l + 21 = -2, q*l = 25 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -31*w**3 + 32*w**2 + 157*w + 94.\nAnswer: -(w + 1)**2*(31*w - 94)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4966, -9920, -14876, -19834, -24794, -29756?\n\"Answer: -h**2 - 4951*h - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(5*4\/40))\/(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43 - 44. What is the remainder when ((-3)\/(-6))\/((-2)\/(y - 467)) is divided by 6\/(-12) - 41\/(-2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -3*s**2 + 4*s - 4. Let w be m(5). Let a = -36 - w. What are the prime factors of a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 28 = 4*j - x, -2*j - 19 = -3*x for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5739500?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 19242, 26050, 32858?\n\"Answer: 6808*x + 12434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -123721, -123729, -123739, -123751, -123765, -123781?\n\"Answer: -r**2 - 5*r - 123715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 444 (base 6) to base 9.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4005 and 9?\nAnswer: 4005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 5, -2*f - 37 = -p + 4*p. Let m = 9 - -7. Let z = p + m. Is z a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*p - 22*p + 12*p - 16*p**3 + p**3 + 7*p - 9*p - 4*p**3 + (-2 - p + 2)*(3*p**2 - p**2 - p**2).\nAnswer: -20*p**3 - 3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8317*g**3*i**4 + g**3 - 2592*g - 2*i**4 - 1 wrt i.\nAnswer: 33268*g**3*i**3 - 8*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 44, 131, 276, 479, 740?\n\"Answer: 29*a**2 + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 4*c**4 + 11*c**3 - 3*c**2 - 106. Let r(f) = -f**3 - f**2 + 1. Let z(m) = 3*r(m) - t(m). Differentiate z(l) wrt l.\nAnswer: -16*l**3 - 42*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1114*p + 1955*p + 12126 = -973*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = a + 54919, -84255 = -4*f - 5*a + 25604. What is the hundreds digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 476 = 4*a, -2*t + 974 = 16*a - 13*a. Calculate the least common multiple of 484 and t.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of b**2*k*m**2 - 24*b**2*k*m - b**2*m**2 + b**2*m + 11*b**2 - 955*b*m**2 + 2290*k - 3*m**2 wrt k?\nAnswer: b**2*m**2 - 24*b**2*m + 2290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 389225554?\nAnswer: 2, 107, 521, 3491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 39*b**2 + b + 8. Suppose -33 = -o + 1. What is the remainder when x(-2) is divided by o?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15784*d**4*r**2 + 51*d**4 - 2*d**2*r - 214*d**2 - 53*d*r + r**2 + r wrt d?\nAnswer: 378816*d*r**2 + 1224*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -700816 (base 9) to base 13\nAnswer: -116598","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y + 1. Let r(u) = 9. Let q(t) = 4. Let i(p) = -7*q(p) + 3*r(p). Suppose 5*j + 0*j - 30 = 0. Let z = -5 + j. Determine z*i(a) + s(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8831027809 to the power of 1\/5, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + 16*u**2 + 2*u + 32. Let o be k(16). Let q(m) = 20*m**2 - o*m**2 + 17*m**2 + 8*m**2. Let h(t) = -5*t**2. Determine h(q(x)).\nAnswer: -1805*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + 25*(-2)\/1. What is j rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34\/(-16) - -2 - (-1)\/(-56)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1685408 (base 9) to base 11\nAnswer: 593986","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -89a - 32?\nAnswer: -8cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -582?\nAnswer: -2328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -17*z**2 + 7*z + 23. Give d(-5).\nAnswer: -437","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -8*z - 12. Let d(i) = -6*i - 8. Let c be d(z). Suppose l = 3*g - g - 104, -c*l - 266 = -5*g. Does 8 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1079?\nAnswer: 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -110155526 - 32?\nAnswer: -110155561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)*2*-4 - 2*sqrt(65)*2)\/(1*(4*sqrt(180) - sqrt(180))) + 1.\nAnswer: -2*sqrt(13)\/3 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*y + 6*y. Suppose -y*d - 542 = 2*j, 4*d + 0*j + 546 = 2*j. Let r = d + 217. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4450 is divided by 53?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -239998*a - 4. Let b be h(2). Round b to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 8\/5, 0, 23, 0.023 in decreasing order.\nAnswer: 23, 2, 8\/5, 1, 0.023, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 + 6. Let v = -0.6 + -6.4. Let x = o - v. Put 0, 0.4, x in decreasing order.\nAnswer: 0.4, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37514657, 75029313, 112543969, 150058625, 187573281, 225087937?\nAnswer: 262602593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 229 - 229 = 21*i. Let u(r) be the second derivative of 1\/90*r**5 + i - 19*r - 5\/54*r**4 + 0*r**3 + 0*r**2. Solve u(n) = 0 for n.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1305809 to the nearest integer?\nAnswer: 1143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2326 + -2281. What is the remainder when 288 is divided by g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 196299497.\nAnswer: 5167, 37991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28323, 111999, 251459, 446703, 697731, 1004543?\nAnswer: 1367139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/15, -36635, -5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + 13*p**2 + 2. Let j be o(-13). Suppose -j*z = 2*t, -2 - 1 = -4*t - 3*z. Let b be ((-2)\/(-3))\/(8\/(-284))*t. Are b and -71 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c - 7. Let p be h(-5). Let x(k) be the first derivative of k**3\/3 + k**2\/2 - 3*k - 1. What is the units digit of x(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -43\/4? (a) 2\/5 (b) 0.3 (c) 16 (d) 0.1 (e) -1\/24\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 721.\nAnswer: 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 191, 53, 0, 2, 3, 322 in descending order.\nAnswer: 322, 191, 53, 3, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 12050 to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h - 5. Give q(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t - 5*i + 71 = 0, -t - 3*i + i + 808 = 791 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-20))\/(t\/((t**(-1\/3)*t)\/t)))\/(t**(4\/7)*((t*t**13)\/t)\/t) assuming t is positive.\nAnswer: t**(149\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 84, 86, 88, 90, 92, 94?\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (sqrt(3) - (-5 + sqrt(192)))**2 - sqrt(9)\/(sqrt(15)\/sqrt(5))) + -4.\nAnswer: -176 + 70*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**1)**(-1))**44\/((q*q*q**(2\/11))\/q*q**(-4)*(q\/q**2)**(-1\/23)) assuming q is positive.\nAnswer: q**(-21562\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -8, 9, 4, -3, -4 in descending order.\nAnswer: 10, 9, 4, -3, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 8, 340, 3\/5, -3, 1\/2 in increasing order.\nAnswer: -3, -2, 1\/2, 3\/5, 8, 340","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 862.3 minus 0.2039?\nAnswer: 862.0961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**4*r*r*r**9*(r*r*r**(2\/15)*r)\/r*r**(-3)*r assuming r is positive.\nAnswer: r**(227\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21934183?\nAnswer: 21934183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 93312 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3735 is divided by 1819.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-1\/4)*m)\/m**(1\/3))\/(m**(1\/2)\/m)**(-39) assuming m is positive.\nAnswer: m**(-211\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 15*b + 14*b - 6 = q, 18 = 6*q + 5*b for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 w when two letters picked without replacement from wtwwwwtwwwwywwtw.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/22 and (-3)\/(696\/206)*(-3 + 2).\nAnswer: 1276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + (-1)\/1*-1. Let s(z) = 3*z - 1. Let a be s(t). Calculate the least common multiple of a + -4 + (2 - 1) and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -3*x - 24, 5*x - 2*r = -6*r - 39. Let y(g) = g**2 + 7*g - 5. Let s be y(x). Which is smaller: 2\/7 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*o + 243 + 108 = 0. Solve -17 = -2*x - 3*p, 110*x = 112*x - o*p + 1 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-8 - -6 - (-3 - -1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)\/(6*sqrt(20)\/sqrt(2)) + sqrt(117)\/(sqrt(72)\/(sqrt(32)\/sqrt(4))))*-4.\nAnswer: -14*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1962 - 1951. Which is the fourth biggest value? (a) 3 (b) u (c) 3\/4 (d) -0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 5:31 AM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5*3\/(-6))\/((-4)\/8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 121 + -62. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 + (-1 - 1)*1. Suppose 4*s + 5*g - 68 = 0, 5*s + g = -0*s + 85. Let l = s + -24. Sort x, -4, l in ascending order.\nAnswer: l, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/5*(-283)\/(-849)\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 3*q + 9 = 0, -3865*q + 3870*q = -4*n - 15 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 5*w + w)*(-7 - 15 + 5)*(-1 + 1 - 2)*(3 - 2 + 1)*(3*w**2 + w**2 - w**2).\nAnswer: 816*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1110653183 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, v: 2, c: 1, x: 8, w: 7}. Give prob of picking 2 x and 1 c.\nAnswer: 7\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 200c657 (base 13) to base 6\nAnswer: 543255432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 271358882.\nAnswer: 2, 135679441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 3\/2 (c) 32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 5*h + 188149, -3*b + 277*h - 274*h + 282246 = 0. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*b**4 - 4665*b**3 + 123715*b**2 - 914415*b + 1371370 = 0. What is b?\nAnswer: -959, 2, 11, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 + -74. Let k be i\/(-2 - 24\/(-15)). What is the greatest common factor of 15 and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3227.\nAnswer: 7, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 119117*c - 5536. Let h be v(8). What is h rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10572 - -10571.94773. What is z rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*o**2 - 4*o**3 + 17821801*o - 17821801*o - 33 as t + w*o**2 + l*o**3 + h*o and give t.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -28.25*-155624\nAnswer: 4396378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6303.0882 + -5748.142. Let y = -105 - -660. Let z = j - y. What is z rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2161 = -3*n - 4*y, -3*n - 3*y + 968 = -1192. Let o = 12905\/18 - n. Calculate the common denominator of -57\/32 and o.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 348, 1054, 1736, 2382, 2980?\nAnswer: 3518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 487220092?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2277\/(-6578)*2*2\/6.\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of 0*g**4 + 0 + 0*g + 1\/120*g**6 + 0*g**3 - 1\/12*g**5 + 6*g**2. Find the third derivative of w(m) wrt m.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95671097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - f**2 - f - 2. Let g be u(-2). Let z(i) = 0*i**2 + 3*i**2 - 5*i - g*i**3 + 5*i**3. What is the units digit of z(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 13 = -4*m, m + j + 5 = 4*j. Solve -a = -2, m*a - 16 = -y - y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53744, -53725, -53688, -53627, -53536, -53409?\nAnswer: -53240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000655 to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1421 + 2345 = 7*j. Is 30 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37102335 and 5805?\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*w + 219*w + 42 - 426 = 0. Solve -5*a = 4*c + 6 + 2, -w*c - a + 5 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 31*z + 14. Let s be a(6). Calculate the highest common divisor of 25 and s.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11184505.\nAnswer: 5, 2236901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 1 + 3*f + 4*f**2 + f**3 + f**2 - 3. Suppose -2*l + 3*i = 5, 4*i + 20 = -0*l - 4*l. Let b be h(l). Solve b*u = -3*u - 25 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + (22\/33 - (-4)\/3). Let i be (-5 + x)*4*1\/(-10). Solve -6*d + i*d = 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence onov when four letters picked without replacement from {n: 4, v: 4, o: 8}.\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = -w - 7*s, 0*s - s - 2*s + 94 = -6*w + s for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 AM and 8:31 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 1 + 5)*((5 - 2 + 5)*(8*l + 10*l - 6*l) + 2 - 2*l - 2) to the form w*l + y and give w.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/(-32))\/(2\/(-16)*2). Let z be k\/((-4)\/(-8) + (-7)\/10). Find the second derivative of -217*d - z*d**2 + 226*d - 37*d**2 wrt d.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 0.2, -1\/3, 0.7787?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 3*w - 342 = 0, 3*i + 4*w = -0*w + 253. Suppose -i*a = -92*a + 10. Which is bigger: 3 or a?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 853.291 to one decimal place.\nAnswer: 853.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44, -223, 5, -228.\nAnswer: -228, -223, 5, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126 is divided by 33.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/7)\/z)**(-3))**(1\/3)\/((z**(1\/4)*z\/(z\/(z**(3\/8)*z))*z)\/(z**(2\/7)\/(z*z*z*z**(-1\/5)))) assuming z is positive.\nAnswer: z**(-177\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-4\/3)*c*c**(-4)*(c**(1\/6)*c*c)\/((c\/(c\/(c\/c**(-1\/8))))\/c))**(-2\/73) assuming c is positive.\nAnswer: c**(31\/876)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38532 + 68273. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -225637 + -4?\nAnswer: -225643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 67535 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2 - 24860*q.\nAnswer: -4*q*(q + 6215)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*g + 75*g + 1410 - 260 = 0 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 140\/3*(-15)\/(-10). Suppose -5*n + p = 4*p - y, 0 = -n + 5*p - 14. Let m(g) = -g**2 + 11*g + 9. What is the units digit of m(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21078 divided by 6\nAnswer: 3513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-3)*(-110)\/(-5). Suppose 92 = 3*j + 5. Let z = k - j. What are the prime factors of z?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 476887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j*q**2 - 30*j*q + 19*j + 315*q**2 wrt q.\nAnswer: 2*j + 630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2\/7 + 5349*z\/7 - 5328.\nAnswer: -3*(z - 1776)*(z - 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-136)\/96)\/((-2)\/(-16)) and -25\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*g**2*o**2 - 2*g**2*o + 84*g*o**3 - 271*o wrt o.\nAnswer: -8*g**2 + 504*g*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1825320943?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 319.\nAnswer: -5\/319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4*(-16)\/(-60)*(-135)\/(-18). Suppose 0 + 16 = 2*p. Let b = p - y. Is b >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2554450*i**2 - 603318.\nAnswer: -5108900*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 2*a - 36 = 0. Let q = 22 + a. Let w(s) = s. What is w(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.187 + -0.187. Put -2\/5, 0.06, n in ascending order.\nAnswer: -2\/5, 0.06, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddn when three letters picked without replacement from dnvvndvnvnnvvivvnnnn.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2072.9 - 82.9. Let f = -1990.0001037 + s. What is f rounded to 6 dps?\nAnswer: -0.000104","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -5*2*((-23898)\/(-5))\/(-6).\nAnswer: 2, 7, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of 15*c**3 - c**2 - 6 - 580*c + 95 + 539*c + 25*c**3. What is the first derivative of x(a) wrt a?\nAnswer: 240*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 83 = 5*t, 35 - 16 + 11 = 2*t. Factor 27\/5 - 1\/5*p**o - 26\/5*p.\nAnswer: -(p - 1)*(p + 27)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(1\/4)\/q))**2)**(-2\/21)*(q**0*q)**(-36)*(q\/(q*q**2))\/q*q*q\/((q*(q**(-4)*q)\/q*q)\/q)*q assuming q is positive.\nAnswer: q**(-100\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2120355779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 222, 212.9?\nAnswer: 212.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 55796 divided by -4\nAnswer: -13949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/17942560 and -9\/2242820?\nAnswer: 17942560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -2*u + 31. Let i = -221 + 227. Sort u, i, -2 in increasing order.\nAnswer: -2, u, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 62.2 - 74. Let c = 12 + o. Put -1\/2, c, 0.06 in decreasing order.\nAnswer: c, 0.06, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 138*h**2 - 23*h + 712. Let m(j) = -47*j**2 + 8*j - 237. Let s(d) = -6*k(d) - 17*m(d). Find the first derivative of s(t) wrt t.\nAnswer: -58*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 7*r - 9. Let b(t) = -151*t - 63. Calculate m(b(n)).\nAnswer: -1057*n - 450","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 132 + -658\/5. Let s = -916.8 + 917. What is the smallest value in x, s, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 3:42 PM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -34, -88, -162, -256, -370?\nAnswer: -504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201 = 6*b + 219 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 + 6*y - 3. Let z be w(4). Let h be (7 - z)*(-110)\/(-4). Suppose 0 = 3*d + 2*d - h. Calculate the remainder when 31 is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gga when three letters picked without replacement from aaaggaaaaaaaggaaaaag.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*r + 120024 + 120003 - 240027.\nAnswer: 103*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 575c4d4 - -2?\nAnswer: 575c4d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28405 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 8385*o - 4. List the prime factors of d(7).\nAnswer: 19, 3089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.124 - -1.154. Let c = -0.03 + b. Let p(x) = 180*x + 554. Let j be p(-3). Which is greater: j or c?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a hour in seconds?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -9234 and -1460604090.1?\nAnswer: 1460594856.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.11 in 3, 6, 7\/6, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36236?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - 4*d**2 - 4*d - 11. Let a be g(-4). Suppose 0 = a*y - 11*y + 4284. What are the prime factors of y?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -262*s + 4717. Let w be c(18). Let b be (12\/10)\/(16\/40). Solve -b*q + w = -2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -526*z**2 + 21 - 21 + 117*z**2.\nAnswer: -409*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {i: 2, w: 3, y: 1, k: 4}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 370, 376, 390, 418, 466?\nAnswer: 540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is -78188 (base 9) in base 8?\nAnswer: -145320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (-45 + 57 + -26)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -214*w**2 + 144*w**2 + 821*w**2 + 158*w**2.\nAnswer: 909*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 4*p = 0. Suppose 0*i - 4*i = p. Let w be (-24)\/(-3) - (i + 4). Solve w = 4*c - 16 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 402 - 199. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -s**2*u - 12*s**2 - 305*s*u - 13774*u wrt s.\nAnswer: -2*s*u - 24*s - 305*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**1)**(1\/15)*(q\/(q\/q**(2\/3))*q*q*q)**10)**(-8) assuming q is positive.\nAnswer: q**(-4408\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 3*b + 2*h, 85*h + 4 = -2*b + 84*h for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22080 = 5*v - 8*u + 6*u, 0 = -3*v - 5*u + 13248. What is the hundreds digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**3 + 0*q**3 - q**3 + (0*q + 3*q - 2*q)*(2*q - 2*q - 2*q**2) + 2215*q - 2215*q + 4*q**2 - 2*q**3.\nAnswer: -5*q**3 + 4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/(l*l\/(l**5\/l))*l)\/l)\/l)\/l**(-4))**(3\/7) assuming l is positive.\nAnswer: l**(18\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + 3b3?\nAnswer: 3b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i + 11. Let t be y(7). Let s be 4*t\/(-4) + 240\/(-4). Is s at least -66?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/(-27) - 20\/90?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/7 != -31.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3522152*i**3*s + 20756*i**3 + 46 wrt s.\nAnswer: 3522152*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3313960291 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-4)\/5)*(-36)\/18.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 6*t - 3*t + 4*y, 9 = -3*y. What is the remainder when 213\/(-2 + 42\/t) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90844155 is divided by 154.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 5841019?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.15 times 1.12421\nAnswer: -0.1686315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -0.049, 3\/529, 4, 3\/7 in increasing order.\nAnswer: -1\/4, -0.049, 3\/529, 3\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -626120 + 313058 - 2*f**2 + 313062.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0\/(-1))\/(-1*2). Calculate the common denominator of -41\/8 and l\/3 + (-40)\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 904 divide 1016656251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**9)\/x)\/(x\/((x**(-1\/50)\/x)\/x*x)))\/((((x*x\/(x\/(x*x**10\/x)))\/x)\/x)\/x**4) assuming x is positive.\nAnswer: x**(99\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (504 - 3\/(-3)) + (8 - (12 + -7)). Solve 502*u = r*u - 18 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 11*t + 4 - 6*t**2 + 3*t**2 - 13*t. Let c = 396 + -399. Determine l(c).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -4*b - 2. Let j be z(0). Let x be (-273)\/(-26)*1*j. List the prime factors of x\/(-14)*182\/3.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -513 * 9811.\nAnswer: -5033043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -16*d**2 + 5*d - 1. Determine l(-1).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = s - 3*s. Let j be (s\/(-15))\/(1\/15). Suppose 4*b + 2*o + 2 = b, 2*b = -o. Solve 3*v - 2*q + 2 = j, 5*v + b*q + 11 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of 0*k**2 - 3*k - 2*k - 3 + k**2. Let j be u(5). Solve y + 3 = d, 3*d + 4*y = -j - 21 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -1, -4, 300761 in decreasing order.\nAnswer: 300761, -1, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -13, -7, 4 in increasing order.\nAnswer: -13, -7, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**3 - 23*p + 25*p - 17 - p**3)*(-7 - p**2 + 7).\nAnswer: -2*p**5 - 2*p**3 + 17*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + (-3 - (-2 - 8)). Are 4 and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/((-96)\/(-20)) + (-1)\/(-3). Let m(x) = 22 - x**2 - x**u - 100*x + 76*x. Let o be m(-13). Sort o, -5, 1\/2 in decreasing order.\nAnswer: 1\/2, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13823631*q*u**2 - 3316*q*u - 976*u wrt u?\nAnswer: -27647262*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/2*3*-10. Suppose 0 = -5*m + y, 3*i + 2*i = -2*m + 956. List the prime factors of i.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 11. Let j = z - -4. Which is the second biggest value? (a) j (b) -5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 725190 and 51.\nAnswer: 725241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3410.\nAnswer: 2, 5, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.572 + -0.772. Which is the third smallest value? (a) z (b) 15\/8 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -153, -25.\nAnswer: -153, -25, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 105\/864902 and -65\/344?\nAnswer: 3459608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -2. Suppose -p*d + 26 = -4. Is 15 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -5*g + 5, -g - 3*g - 2*j = -10. Let o(z) = z**3 + z**2 - z + 2. Let a be o(g). Suppose -u = -4*i - 32 + 9, u = -5*i - 22. Solve -a*b + u = 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10578519 a multiple of 594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -280*j - 157 = -1844 - 273 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/69 + (-180)\/483?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2802040, 5604098, 8406156, 11208214?\n\"Answer: 2802058*k - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2*(sqrt(1700) + (sqrt(1700) - (sqrt(1700) - (2*sqrt(1700) + sqrt(1700))) - sqrt(1700)) + 4) + (sqrt(17) - sqrt(34)\/sqrt(2)*-4)*-2 + -4)**2.\nAnswer: -250332 - 5040*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 73 + 21 = k, -4*k + 376 = 3*f. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101101100011100001 (base 2) to base 5\nAnswer: 21432333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 7\/4)*(-480)\/220.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -523, -510, -483, -436, -363, -258, -115?\n\"Answer: k**3 + k**2 + 3*k - 528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.26 * -1.\nAnswer: -0.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*i + 876 = 25*i. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*(-12)\/(-224)*4. Suppose 2 = 5*t + 2*p - 0, -5*t + 18 = -2*p. Let n be -1 - (-1 + -1 + t). Which is the closest to n? (a) w (b) 0.5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7066249 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i**(-2\/7))**(-3\/8))**(-50) assuming i is positive.\nAnswer: i**(225\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-4)*20\/15. Let u be ((-1)\/3)\/((-11)\/(-6)). What is the nearest to -0.2 in n, -1\/2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 139857947 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 794650005 to the nearest integer?\nAnswer: 28190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 - 25*v - 56. Let u be c(-23). Put 0, u, 3 in descending order.\nAnswer: 3, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of c**3 - 1\/30*c**5 - 12*c**2 + 0*c**4 + 0*c + 0. What is the first derivative of y(s) wrt s?\nAnswer: -4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4684792 divided by 119.\nAnswer: 39368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 49*r**2\/5 + 266*r\/5 + 361\/5.\nAnswer: (7*r + 19)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.472 - -0.972. What is the fourth biggest value in d, -0.5, 28, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1122111010 (base 3) to base 4\nAnswer: 13322232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-12) - 4\/6.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.029860615 to five decimal places.\nAnswer: 0.02986","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 0 + 4 + (5 + -2*sqrt(17) - (sqrt(17) + sqrt(153)*6)) + -1)**2.\nAnswer: -378*sqrt(17) + 7578","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -927*y**3 - 12*y - 65. Let k(u) = 928*u**3 + 14*u + 75. Calculate -7*h(c) - 6*k(c).\nAnswer: 921*c**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 3*j = -3. Let l be (3\/42)\/(((-6)\/j)\/(-16)). Let d = 0.5 + 0. Which is the third smallest value? (a) l (b) d (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10\/50)\/(3\/(-5)). Let j = -183\/2 - -91. What is the second biggest value in w, j, 1\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 55 + 101 = 0. Is (o - 32)\/(2\/58) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/15)\/(784\/196)\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*q = -46*q - 2525. List the prime factors of q\/(-10)*4 - -4.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/40)\/((-5)\/(-25)). What is the fourth smallest value in -5, -2, g, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.92 - -0.8. Let v = m + -1.38. Let j = 1 + v. Which is the biggest value? (a) 2 (b) -1\/6 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(9)*-2)\/sqrt(3) - (1 + sqrt(300) + -2 + sqrt(3)*-2))**2 - (3 + (-3 + sqrt(3) + sqrt(3)*2 + 2)*-6)**2.\nAnswer: -620 + 300*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = 5*w - 19 + 13, 2*j - w = -4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = 5*z - 17, -660 = -3*a + 3*z - 681 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -1309*z - 89019. Give d(-68).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (23 - 14) - (-8 - 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (90\/(-21))\/(3\/(-21)). Suppose 3*i + 4*k + 20 = 79, 8 = -2*k. Let y = u - i. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p**4 + 2*p**4 - 6*p**4 + (2*p - p - 3*p)*(-p**3 + p**3 + p**3) + p**4 - 2*p**4 + 0*p**4 + (-3*p + 0 + 0)*(-2 + 2 + 3*p**3).\nAnswer: -20*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 33679.93 millilitres in litres?\nAnswer: 33.67993","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -1165, 3 in decreasing order.\nAnswer: 4, 3, 0, -1165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 740 and 360.\nAnswer: 13320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 201839261 a multiple of 4612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*(-3)\/6*-64. Suppose -3*g + q = -137. Suppose 5*j - j - 50 = -2*f, -4*f = 5*j - g. Solve j = d + 4*h - 3, -5*h + 22 = -d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 824598.8g in kilograms?\nAnswer: 824.5988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -2\/5 (c) 18.3 (d) 0.4 (e) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9294 a factor of 1523546832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 5, 10, 15, 20?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -280128*m + 280057*m = -1491 for m.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1351362, 1351369, 1351370, 1351359, 1351330?\n\"Answer: -j**3 + 3*j**2 + 5*j + 1351355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i + 4. Let b be x(3). Solve -4*k - 17 = -b for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -394, 25, 5, -3, 1 in increasing order.\nAnswer: -394, -3, 1, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 564668 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 3) + -1 + (32 - 32)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 228*g**2 - 196*g - 24. Let z(f) = -76*f**2 + 65*f + 8. Let o(m) = 3*w(m) + 8*z(m). Find t, given that o(t) = 0.\nAnswer: -2\/19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*m**2 - 903 - m - 904 - 912 - 30*m**3 - 901 + 3617 in the form s*m**3 + a*m**2 + l*m + r and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/((-19)\/(29 + -10)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d8 - 79242?\nAnswer: -7931a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3878*b + 63444. Determine h(-17).\nAnswer: -2482","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 16*m + 2. Suppose 4*q - 5*y - 19 = 20, y = q - 11. What are the prime factors of l(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -310*j**2 + 930*j**2 - 317*j**2 - 311*j**2.\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-85350)\/(-668575))\/(126\/188).\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-1 - 8) - (-4 - 2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.01788, 1\/4, -2\/3, -10 in decreasing order.\nAnswer: 1\/4, -0.01788, -2\/3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 8 + 4. Suppose 13 = s - t. Let q(w) = w**3 - 7*w**2 + 8*w - 5. Let u be q(6). Solve -2*x - u = -s, k + 3*x = 13 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*x = -11*x. Suppose x = -24*t + 27*t - 24. Which is bigger: 0 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 32535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8789932*d**3 - d**2 + 87517 wrt d?\nAnswer: 52739592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 151782996 and 30024.\nAnswer: 1668","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/3 + 45275*j\/3 - 30182.\nAnswer: -(j - 45273)*(j - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40 + 44. Suppose u - 75 = -x*s, 0*u - 398 = -5*u + 3*s. Calculate the remainder when u is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 + -12. Let y(i) = 7*i**2 - 2. Let u(r) = r**2 + 1. Let b(t) = n*y(t) + 2*u(t). Let d(x) be the third derivative of x**4\/24 - 2*x**2. Give d(b(p)).\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r - 2*r - 4*v + 6, 7 = r - 2*v. Which is bigger: r or 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a microgram in nanograms?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(612) + -2*sqrt(612) + 0 + sqrt(612) + 1*sqrt(612)*-1 + -5)**2 - (3*-3*(2*sqrt(612))**2 + -5)).\nAnswer: 60*sqrt(17) + 22677","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 390725?\nAnswer: 5, 15629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 284481 divided by -150\nAnswer: -94827\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 791*v**4 + v**3 + 948*v**2?\nAnswer: 18984*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -97782449*x**2 - 5*x + 5536718.\nAnswer: -195564898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-1)\/3*(-73)\/(-219))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1243 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 11:40 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1120\/24 - (-2)\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-24)\/6 + 5)*(-11 - -16). Let f = 4 + -9. Which is the second biggest value? (a) o (b) -3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 23 = 4*j, -3*r = -5*r + j + 1. Suppose 0 = -r*o + 14 + 4. Solve 2*q - o = -q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (14\/28 + -1)*(1 - 27). Solve -10*g + j*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -4*j + 3*d + 5, 2*j - 4*d + 10 = 0. Suppose 4*q - j = -l + 4, -5*l + 5*q = -70. What is the remainder when l is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6443 - 137*o + 6445 + 37*o + ((-2*o + 3 - 3)*(0 - 1 + 3) + 3*o - o - 4*o + 4*o + o - 3*o)*(15 + 4 - 3) in the form f*o + y and give f.\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4*k - 2 - 9 = 0, -3*k + 11 = 2*n. Let o(c) = -c + 4. Let z be o(-3). Let i = n + z. What is the highest common factor of 72 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence idd when three letters picked without replacement from {i: 1, d: 2, e: 4}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 878 a factor of 60265920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 5*v**3 + 6517*v**2 - 13050*v + 1. Calculate l(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/(-28)*6\/15?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**4 + 9*b**3 - b. Let o(u) = u**4 + 36*u**3 - 257*u**2 - 4*u + 613. Let j(x) = -o(x) + 4*t(x). What is the first derivative of j(c) wrt c?\nAnswer: 12*c**3 + 514*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.019, -0.03, 1\/2, 2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*t + 6. Let j(l) = -50*l**3 + l**2 - 34*l + 65. Let x be j(2). Is x*4\/12*t a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w. Let i(y) = y**2 - 4*y - 5. Let h be i(6). Let r(x) = 5 - 5 - x - h*x. Calculate r(n(z)).\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 604190, 605025, 605860, 606695, 607530?\n\"Answer: 835*f + 603355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*s - g - 1, -2*g - 1 = 3*s. Let k = 6 + s. What is the smallest value in -1\/7, k, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1829\/9 + 2\/(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 2 - 2 + 18*z**2.\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -9313759*-0.11\nAnswer: 1024513.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13\/12 + -89\/60. Let k(y) = y**3 - 6*y**2 + 7*y - 7. Let d be k(5). Let s = -2 + d. Is n greater than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201215 is divided by 262?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 383670 and 3885.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 4*y + 62, -y - t + 3*t - 18 = 0. Let o = -10 - y. Let j be ((-4)\/o)\/((-4)\/18). Let w(g) = -g**3 + 6*g**2 - 2*g. Give w(j).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-988)\/(-43 + 81))\/((-4)\/(2\/1))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 130*v + 1. Let d(a) = -137*a + 1. Calculate 3*d(j) + 4*u(j).\nAnswer: 109*j + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5848 to the power of 1\/2, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1085 - 68. What is v rounded to the nearest ten?\nAnswer: -1150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 368 - 64. Suppose 4*f = -5*y + r, -f - 2*f = y - 63. Is y a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1)\/n**(-6\/7))**(-24) assuming n is positive.\nAnswer: n**(24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 + 3*d - 8*d + 2 + 5. Suppose 0 = -2*w - 16 + 4. Determine l(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/8*(-20)\/(-5). Suppose -a = -6*l + 5. Are l and 1\/25 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2736) + sqrt(2736) + 6*(sqrt(2736) - (sqrt(2736) + -3)).\nAnswer: 18 + 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - 18*g + 34. Let k be a(16). Solve c - k = 5*o - 3*o, -3*o - 3 = -3*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 AM and 5:27 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1574.\nAnswer: 2, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1456624542 and 0.68497.\nAnswer: 1456624542.68497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 - -15. Let m(r) = -r**2 - 8*r + 15. Let i be m(x). Solve o - 25 = -4*b, 0*o - i = -3*o for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 18, f: 2}. Give prob of sequence fppf.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 1 - 33*m**3 - 37*m**3 - 228*m**3.\nAnswer: -298*m**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1357 divided by -3905\nAnswer: 1357\/3905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 298817951 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 48*v**5 - 24*v**4 - 21*v**3 - 3*v**2 = 0.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 - 23 = 2*f for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((sqrt(539) - (sqrt(539) + -1)) + sqrt(539))**2*3 + -2 - (-2 + (sqrt(539) + -1 + sqrt(539) - sqrt(539)) + sqrt(539) - (5 + sqrt(539)*2))*3)*-3.\nAnswer: -4926 - 126*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6598?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 g when two letters picked without replacement from iggiiiggaiiiaciiiaag?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 4256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f + 1149*f**2 + 1151*f**2 - 2*f + 1153*f**2 + f**3 - 3458*f**2 in the form a*f**2 + p*f**3 + c*f + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7882 is divided by 684?\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (0 - -1*151) + (-30 - -28)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 136 divide 26276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2 (b) -0.01 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o - 1. Let f(g) = 3*g - 4. Suppose -11*i - 25 = -223. Suppose 0 = i*q - 53 + 251. Calculate q*h(y) + 4*f(y).\nAnswer: y - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 9 + 9. Let t = 60 - s. List the prime factors of t.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5a - 5?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -5*o + 8569, -5*k = o - 6*o + 8565. Suppose 5*c + 3*j - o = 0, c + j = -4*j + 356. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1148.9075? (a) -0.5 (b) 3 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8907977 a multiple of 294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 0*f - 1. Let p be (0 - f\/(-2))*4. Suppose 5*j = p*a + 48, -3*j - 4*a = -17 - 17. Solve -3*i + j = -5*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 5*o - 20, 2*o - 4*o + 2*m + 14 = 0. Suppose -o*z = 3*z. Suppose -2*k + 0*k + 16 = z. Solve k = n + 3 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2. Suppose -3 = -w, -4*t - 32 = -w - 1. Let i be 3\/(t - 2)*-6. Let v(n) = -i*n**2 - 5*n**2 + 3*n**2 + 3*n**2. What is p(v(q))?\nAnswer: q**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 568466882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 8*y**2 + 9*y - 9. Let d(j) = -2*j + 25. Let l(b) = 2*b + 24. Let r be l(-8). Let c be d(r). Give z(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -10111?\nAnswer: 10120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nueu when four letters picked without replacement from muunuuemnunnm?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/(-8))\/(-1))\/(1\/20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1413126 by -366.\nAnswer: 3861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2. Suppose z = -n + 29, -n = -3*z - 5*n + 86. Let c be ((-6)\/15)\/(2\/z). Let f(t) = -5*t. Let j(a) = a. Let h(r) = c*j(r) - f(r). Give u(h(w)).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 l when two letters picked without replacement from {g: 2, a: 1, f: 7, l: 2, e: 1, v: 2}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 0*q + 5*q = 15, 2*q - 6 = 0. Let m(b) = -b**2 - 2*b + 6. Let p be m(y). Is (4 - 1)\/(p\/1402) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 12:03 PM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 254 is divided by 52?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9102967 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b0f (base 16) to base 9.\nAnswer: -10446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p - 6 + 7 - 5*p)*(-1 - 3 + 5).\nAnswer: -9*p + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.411631l in millilitres?\nAnswer: 4411.631","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*f = 2247 - 10872. Suppose 93*k - 90*k - f = 0. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -36*b**3*q**2 - 8*b**3 - b + 13554*q**2 wrt b?\nAnswer: -108*b**2*q**2 - 24*b**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -3. Suppose -7*y + 2*y - 5*v + 430 = 0, q = -3*y - 2*v + 258. Let k be (-2)\/(0 - 1) + y. What is the greatest common divisor of 11 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1201202002111 (base 3) to base 12.\nAnswer: 384541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/6)\/((-3)\/135). Let b be s\/(-6) - 1\/(-2). Let j(r) = -6*r - 1. Let u be j(b). Solve -w = -0*h - 2*h - u, -2*h = 5*w - 19 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 64*d - 1452. Determine m(22).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -930, -7778, -26354, -62520, -122138?\n\"Answer: -977*w**3 - 2*w**2 - 3*w + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*q**3 + 6860160*q**2 - 20*q - 27440640 = 0. Calculate q.\nAnswer: -1372032, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -8832*i. Let y(w) = 2*w. What is a(y(f))?\nAnswer: -17664*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -2. Suppose -29 = -z*q + 13. Does 8 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*6*(-90)\/405.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 2 + 4)*(-4 + 2 + 0)*(50*j - 84*j + 33 + 32*j).\nAnswer: -4*j + 66","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*(2 - 1)*82\/246 - 19.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r + 3*r - 6, 0 = 2*s - r + 174. Let w = s - -202. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 17 = 5. Let h(j) = 4 - j + 3*j + 13*j**2 + 12*j**2. Is h(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 150431 = -4*f + 150439, 0 = 2*f - 4*f + 2*m + 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1603, 1814, 2085, 2350, 2543, 2598, 2449?\n\"Answer: -11*j**3 + 96*j**2 + 1518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22 + -62 - -45) + -16.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 170 + -675\/4. Let y = -3 + 3.4. Let g = y + 0. What is the nearest to 1 in 0.3, p, g?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -193 divided by -3214.\nAnswer: 193\/3214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -4*h**2 - 60*h - 619. Give g(-15).\nAnswer: -619","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 88 + 511 = 4*l, f - 459 = -3*l. Suppose -163 = -15*a + l. Calculate the remainder when 36 is divided by a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-70*h + 183*h + 197*h)*(h - 14*h - h)*(-2 - 1 + 4)*(2 + 1 - 5) to u*h + c*h**2 + w and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.013? (a) 0 (b) -0.34 (c) -5.15 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3*l = 2*v - 138, 0 = -3*v + l + 195. Suppose -2*n + v = -268. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.274167 less than -1321385?\nAnswer: -1321383.725833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -334.116 and 0.3.\nAnswer: -333.816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j**3 + 3*j**3 - 2*j**3)*(4*j - 7*j + j)*(-j + 0 + 0).\nAnswer: -8*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -842.626 to the nearest ten.\nAnswer: -840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-20)\/2*27\/(-15). Solve 22 = 5*n - 3*b, 3*b - l = -5*n + 2*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nuut when four letters picked without replacement from nununtnnttnununt.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - -14. Let c(f) = -2*f + 27. Let o(t) = -1. Let h(w) = v*c(w) - 3*o(w). What is the units digit of h(14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2647 - 1823. Calculate the remainder when q is divided by 55.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of r**7\/1680 + 13*r**6\/1440 - r**5\/60 - 7*r**4\/96 - 41*r**3 - 90. Let w(l) be the third derivative of x(l). Factor w(h).\nAnswer: (h - 1)*(h + 7)*(2*h + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 180\/42*-621*819\/(-15795).\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 392469 is divided by 4266?\nAnswer: 4263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/28 + 26\/91. Let j be (-1)\/4 + 0\/118. What is the closest to w in j, -0.7, -4\/3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/2435 and 93\/10?\nAnswer: 4870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -20, -2, 22 in descending order.\nAnswer: 22, 3, -2, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1192354 and 5853655.\nAnswer: 3089","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1407423 divided by 1407423?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 3*z = 2*v - 11609, 17436 = 3*v + 3*z. Suppose -1117*c + 6656 = -1115*c. Let p = v - c. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**4\/y**(2\/21))\/(y**4\/y*y**(-3)))**(-44) assuming y is positive.\nAnswer: y**(-3608\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 122, 2172, 5594, 10388, 16554, 24092?\n\"Answer: 686*x**2 - 8*x - 556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58, 71, 92, 121, 158?\nAnswer: 203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 3*u**2 - 17*u. Let r be o(-6). Let q(p) = -6*p - 17 - 8*p - 9*p. Let v(h) = 4*h + 3. Give r*q(i) - 34*v(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 10, 2*z = -4*s - 8 - 6. Let k = 7.3 - 7. Which is the closest to 0.1? (a) -5 (b) k (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5 - 0 - (0 - -1). Suppose -195 + 15 = 15*n. Let g = y - n. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(66\/(-8)))\/(144\/264).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1130670 to the nearest 10000.\nAnswer: -1130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 860 - 857. What is the highest common divisor of 327 and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 115 and 92.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1582?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -17051, -5 in decreasing order.\nAnswer: 6, -5, -17051","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-12) - (30379\/(-1564) - -20)?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13901, -28224, -42469, -56642, -70749, -84796, -98789?\nAnswer: -112734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-3))\/(171\/3591)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 4*q**2 + 6*q - 5. Let n be k(5). Let i be 3\/(-12)*30\/(39 + -24). What is the closest to n in i, 3\/10, 1?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -12. Let l be 375\/50*3*d\/(-18). Let x = -7.88 + 2.88. Which is the closest to -2? (a) 15 (b) l (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/20 - (-1)\/30. Let r = 0.12 + 0.18. What is the nearest to r in -2, d, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3422 + 1520?\nAnswer: 5342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40.8 + 40.8352. Let y = m + -0.03521228. What is y rounded to six dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 269 + -263. Solve 10 - y = 4*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i + 50. Let x be g(17). Let o be ((-2)\/(-10) - x\/80)\/3. Solve o = -d + 1, 1 = t - 5*d + 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -10*t**3 + 7*t**2 + 17*t + 45. What is f(-3)?\nAnswer: 327","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-10))\/(459\/(-255)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70, -74, -76, -76?\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 34595 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4195635 and 21.\nAnswer: 29369445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/4*(-8 - -12). Let s be (-20)\/l*9\/(-6). Determine r, given that -27 - 7*r - s*r - 2*r**2 + 9 = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 3. Let f be (-5 - -4)\/(a\/3). Let d(h) = 7*h**3 + h**2 + 7*h - 9. Let y(x) = 4*x**3 + x**2 + 4*x - 5. Let v(l) = 3*d(l) - 5*y(l). Determine v(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_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: Let o(x) = -x**2 + 3. Give o(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 5751411.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*a - 213 - 35 = 188 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-13*3\/15)\/((-65)\/(-325))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142029 is divided by 146?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -3*h**2. Let b(o) = -2*o**2. Let t(l) = -3*l**2. Let k(j) = -8*b(j) + 5*t(j). What is x(k(w))?\nAnswer: -3*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 524403*d - 537231*d - 4)*(-3*d + 2*d - 3*d).\nAnswer: 51312*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(sqrt(11) - (sqrt(11) - (-3*sqrt(55))\/sqrt(5))).\nAnswer: -sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -282*z**2 - 10080*z - 4725 - 2*z**3 - 8139 + 3064.\nAnswer: -2*(z + 1)*(z + 70)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1258.738 - -1261. Let r = u - -0.138. Round r to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/(440\/48)*-5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -710 by 1.\nAnswer: -710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 610.326 times 23\nAnswer: 14037.498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**2 - 134*y - 1350. What is the lowest common multiple of -44*3\/(-6)*1 and p(76)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 639334?\nAnswer: 2, 29, 73, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t**3 - 2*t**2. Let n be j(2). Suppose -3 = 5*x + v, 4*x - 3*v = -n*v + 6. Let p be 1*(x - 0)*-1. Solve -2*a - 5 = p for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1366 divide 733487360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 166.\nAnswer: 3\/166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12061*j**2*u**2 - 32*j**2*u + 179696070*j**2 - 35*u**2 wrt u.\nAnswer: 24122*j**2*u - 32*j**2 - 70*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.7 (b) -5 (c) 1368\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -121 + 116. Let x(r) = 5*r**3 + 25*r**2 - 5*r - 13. What is the least common multiple of x(c) and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 2*f + 7729 - 2247, 2*f = -4*l + 10934. Let n = l - 1736. Round n to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0 + (0 + 2 - 1)*(3 - 2 + 1))*(121*q**2 + 14*q**2 + 965*q**4 - 963*q**4)*(-2*q + 2*q - q).\nAnswer: -2*q**5 - 135*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 10*m**2 - 18*m + 78. Determine p(9).\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 624, -4\/5, 0.2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 3322090\/21 (c) 1\/6 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -41, -66, -91?\n\"Answer: -25*c - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1.535568 - 431224331\nAnswer: -431224329.464432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-4) - 48\/128*12\/(-2). Solve d*r - 25 = -3*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*f - 16, k = -4*f + 83. Let r(s) = -60*s - 3. Let v be r(-6). Calculate the greatest common factor of k and v.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100198000.\nAnswer: 2, 5, 7, 17, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/(-45)*3 + 26\/6. Solve -4 = -m*v + 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 749197667?\nAnswer: 17, 44070451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k. Let m be s(-15). Suppose 15 = -m*r + 33*r. Solve r*t + 5*d - 5 = 0, 3*t + 2*d + 29 = 7*d for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2268\/35 - 99\/(-495)) + 1 + -4.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q - 7*q + 7*q. Let z(f) = -f + 1. Let v(n) = 8*n - 9. Let w(c) = -4*v(c) - 36*z(c). What is p(w(d))?\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6199*h**2*z**5 - h**2 + 17*h*z + h - 347*z**4 + 20*z - 96 wrt z.\nAnswer: -123980*h**2*z**3 - 4164*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s + 6. Let t be u(5). Let b be 0 + t + 3 - -6. Find the third derivative of b*f**2 - 2*f**4 + 2*f**4 - 4*f**4 wrt f.\nAnswer: -96*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 368.73226 - 364.632. Let v = 426 + -430.1. Let j = v + u. What is j rounded to five dps?\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1069822 divided by -23.\nAnswer: -46514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12 and -15965.9.\nAnswer: -191590.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - -10. Let l(f) = 7*f**3 - 25*f**2 + 22*f - 10. What is the remainder when l(3) is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -95 (c) -67 (d) -1\/3 (e) 2 (f) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*j + 3090 = 2520 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnsnsrsnrrn. What is prob of picking 2 n?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2827, -11358, -25615, -45598, -71307?\nAnswer: -102742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**2\/(h\/(h\/h**2))*((h**0*h)\/h)**43)\/(((h*h*h\/h**(2\/7))\/h)**(4\/5))**(-21) assuming h is positive.\nAnswer: h**(144\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 48098767 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (6 - -1) + 7 + -13?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1593?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -100 times -5322\nAnswer: 532200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -4. Let w = -32 - -189. Let y = w + -151. What is the closest to k in y, -2\/11, -3\/7?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 24 - 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/40805 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4721120117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 + 49. Let c = r - -19. List the prime factors of c.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 272*p - 3665. What is y(11)?\nAnswer: -673","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 187806, 375616, 563428, 751242?\n\"Answer: r**2 + 187807*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -454 in 1, 396, -3, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uleryed. Give prob of sequence uyrd.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 1262*a + 1. Is m(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(1\/17))\/y**24*y\/(y\/(y\/(y\/(y\/((y\/(y*y**(-9)\/y)*y)\/y))*y)))*y**(8\/3) assuming y is positive.\nAnswer: y**(-1550\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -320 + 335. What is the remainder when 928 is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -12217016, -12217007, -12216972, -12216899, -12216776, -12216591?\n\"Answer: 2*m**3 + m**2 - 8*m - 12217011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3*p**2 + 541*p - 2018. Give m(-184).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + b**3 + 2 + (2 - 2 - 6)*(0 + 5 - 4)*(-6886*b**2 - 58*b**3 + 6886*b**2).\nAnswer: 349*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 + 299?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 - 9. Let x(z) = -z**2 - 6*z + 7. Let v be x(-7). Let w = v + f. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -21. Suppose -4*x + 37 = -5*w, -3*w - n = 4*x - 5*x. Let s = 1 - 0.8. Which is the third biggest value? (a) x (b) s (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 476 = -3*z - 4*z. Let u = -56 - z. Calculate the highest common divisor of 36 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1665 + 2546. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 193 + -166. Suppose 4*j + 11 = x. Solve y - 10 = -3*k, 5*y = j*k - 3*k - 30 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*u = -9. Let j = -4 + 8. Solve u*v + j = 10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19395.\nAnswer: 3, 5, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 - 60 - 55)*(1 + 3*y**5 - 1) + 0*y**5 + 2*y**5 - 3*y**5 - 3*y**5 + 4*y**5 + 5*y**5.\nAnswer: -271*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.6766676 decades?\nAnswer: 6.766676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 515 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21.5 + -21. Sort u, -0.2, -1\/6, 4 in descending order.\nAnswer: 4, u, -1\/6, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.4 + -5.401. What is m rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13516898 to the nearest integer?\nAnswer: 3677","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f**3 + 1393*f**2 + 154560*f - 3339. What is z(-558)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 54 = 4*n, -n - 29 = 5*r + 73. Let q be 33\/2*8\/(-6). Is r greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3295250 divided by 659050\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 542, 1088, 1634, 2180, 2726?\nAnswer: 3272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9865 or 9852?\nAnswer: 9865","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -28 and 510.1781.\nAnswer: 482.1781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 5*o**2 + 7*o - 6. Let r be v(6). Let l(w) be the first derivative of w**4\/4 - w**3\/3 + 4*w + 5059. Give l(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 + 22. Suppose -p + 20 = -5*a, p + 4*a + 4 = u*a. Let w(z) = p*z**2 + 1 + 2*z**2 + 6*z**2. Determine w(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.15703 + -0.55703. Let s be 4\/(-10)*5\/7. Is j >= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -133e + -75?\nAnswer: -13b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -15430*d**2 - 1743589*d + 95. Determine z(-113).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 7*r**2 + 19*r - 21. Calculate k(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is a850 (base 12) in base 7?\nAnswer: 104625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**4 + 1704*k**3 + 41181*k**2 + 247992*k + 208512 = 0.\nAnswer: -543, -16, -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -112 + 109. Let i = o - -3.3. Let k = 0.4 + 1.6. Which is the closest to 2\/7? (a) i (b) k (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.19 + -7.13. Let t = k - -6. Which is the smallest value? (a) t (b) -5 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-7)\/21)\/(-1*2\/318) is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -562 and -0.2.\nAnswer: 112.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/80 and 1\/((-559)\/(-356)) - (-2 - (-168)\/91)?\nAnswer: 3440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d - 10*d - 6 = 0. Calculate the least common multiple of d and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -500 in -527, -7, 5, 0?\nAnswer: -527","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.023 - 0.023. Suppose -3*r + 2*m = 2*r + 21, 2*r = -3*m + 3. Let w = -0.2 + 0.5. Which is the closest to v? (a) -2\/15 (b) r (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -229*x - 1065*x = -47*x - 13717 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1408.45 rounded to the nearest integer?\nAnswer: -1408","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j**2 - 11*j**3 + 10*j**3 + 0*j**2.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2 + 2 - 2 + 1 + (3 + 3 - 4)*(2 - 3 + 3) + 1 + 1 - 3 - 9 + 12 + 15)*(-2 - 4 + 4)*(2*i**2 + 3 - 3).\nAnswer: -84*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 6 - 3)*(-551 - 291*v + 551).\nAnswer: 3492*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x = -6*x - 18. Let l be 0\/(2 - (-2)\/2). Solve 6 = -5*a + 4*h - x, -2*h - 4 = l for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uureueu. What is prob of sequence ur?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 3)*(-w**3 + 4*w**3 - 2*w**3) + 7*w**3 - 3*w**3 - 3*w**3 + (3*w**3 + 4*w**3 - 4*w**3)*(1 + 3 - 5) - 2 + 2 - w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -154*-1385\nAnswer: 213290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mgg when three letters picked without replacement from gegggeeeeteegmgtmee?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1243963 is divided by 621976?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 111*c + 1190. What is s(-9)?\nAnswer: 920","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -5 + 9. Suppose 0 = -5*b + 4*b + p. Let i = -929 + 933. What is the highest common divisor of i and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 9212459\nAnswer: 9212448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, x: 1, u: 1, p: 4, b: 1}. Give prob of sequence ddd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1))**(-4\/3))**(8\/7) assuming l is positive.\nAnswer: l**(32\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 187998 and 2364.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-3))\/(2\/12). Let n be (50\/(-75))\/(8\/204). Let m be 51\/90 - n\/(-255). Which is the second biggest value? (a) m (b) 0 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 672 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1478, -2959, -4440?\n\"Answer: -1481*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -3*s**2 - 43*s - 11. Let q be b(-14). Calculate the greatest common factor of 48 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130*c = -143*c - 25883. Let v = -1987 - c. Let 4*u**3 + 16\/3*u**v + 5*u - 32\/3*u**2 - 2\/3 = 0. Calculate u.\nAnswer: -2, 1\/4, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4\/821 + 38631\/9031. Calculate the common denominator of j and 111\/88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = -25*k + 20*k. What is the remainder when 74 is divided by k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**0)**(2\/75)\/(l\/(l*l\/(l*(l*l*l**0)\/l)*l))**(-1\/4) assuming l is positive.\nAnswer: l**(2\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 16 = -12*p. Let y be p + 45\/(-25) - 62\/10. Which is the fourth smallest value? (a) 2 (b) 0 (c) -3 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 2. Suppose 2*l + 0*l - 60 = 2*n, -5*l - 4*n + 150 = p. Is 15 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h + 23. Let b be d(-6). Solve 0 = -b*m + 6*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 > 2170?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 1.87.\nAnswer: 0.374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4074194.\nAnswer: 2, 97, 21001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4.368988 litres?\nAnswer: 4368.988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.6034 - -1.6034057831. What is y rounded to seven dps?\nAnswer: 0.0000058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 468626 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4037, -3.\nAnswer: -3, 1, 4037","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108383?\nAnswer: 11, 59, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 30*t - 173. Let c be r(6). Solve 46 = c*h + 18 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 + 3333*t + 59587. What is z(-18)?\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.14*0.1628894\nAnswer: 0.022804516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29880.34349 + -29880. Let s = -0.344 + t. What is s rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7746092?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -664688, -664704, -664730, -664766?\nAnswer: -664812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16347763 is divided by 10513.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -23*r. Let p be a(1). What is the tens digit of 0 + 3 - 1 - p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4620 (base 13) to base 3.\nAnswer: -111111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -792*d**3 - 9*d**2*x - 22*d**2 + 5604355*d*x wrt d.\nAnswer: -4752*d - 18*x - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, g: 1, k: 2, d: 4}. What is prob of sequence djg?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 320 at most 3529\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20597?\nAnswer: 43, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of -3*f**6\/140 + 19*f**5\/105 - 2*f**4\/21 + 1084*f**2 + f. Solve s(l) = 0.\nAnswer: 0, 2\/9, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 3*c. Suppose 0*r + 4*r + 16 = 0, 0 = -x + 2*r + 10. Let s = -1 + 3. Let w(b) = 4*b**x + 5*b**2 - 3*b**s - 3*b**2. What is w(k(d))?\nAnswer: 27*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/16 and 289\/(-66) - (-4)\/12.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72835004173 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -3044?\nAnswer: -3100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 2. Suppose -5*j = -h + y*h - 5, 4*j = 3*h + 4. Solve 0 = 5*t + 5*q - 5, -4*t + h*q = 2*q - 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31775190047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -16*i - 4. Let q(k) = -53*k - 13. Let u(p) = 10*d(p) - 3*q(p). Let j = -3 - -1. Let o(m) = 3*m - 3. Give j*u(n) + o(n).\nAnswer: 5*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(-2)\/(-20)*(16324\/1176 - 14). Let g(p) be the second derivative of 2*p + k*p**4 - 2\/21*p**3 + 0 + 0*p**2. What is a in g(a) = 0?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - u - 4*u - 25 = 0, 0 = 3*z + 3*u + 18. Is -6 equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -310.57 + 297.139. Let f = -141 + 140.931. Let z = a + f. Round z to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -3*a. Let j be p(-1). Suppose -2*c + j*c = 7. Solve 4 = d + c for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.137297871 + -0.1373. What is q rounded to 7 dps?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 846304 is divided by 816?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5400 - -4?\nAnswer: 5404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 7*l + 75. What is the least common multiple of v(5) and 35?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1163, -4623, -10389, -18461, -28839, -41523, -56513?\nAnswer: -73809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 less than 12057\/3916?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3399 + 2229. Round y to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -8) + -2 + 3 - 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/4095 and -4\/7447635.\nAnswer: 52133445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 50021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 3*a. Let l = 37 - 24. Let z(v) = l*v - 13*v + 3*v**2. Give i(z(r)).\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*a**2 + 4*a**2 + 41*a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 3, 8, 1, 59, -1 in ascending order.\nAnswer: -1, 1, 3, 8, 20, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77316151.\nAnswer: 11, 7028741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 + 39*w - 751. Let a be p(-55). Put 0, 4, a, -5, 1 in increasing order.\nAnswer: -5, 0, 1, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1515, -4135, -7855, -12675, -18595, -25615?\nAnswer: -33735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-716)\/20 - -6 - (-18)\/(-90)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bgrgby. Give prob of sequence ygbb.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 172\/(-28) - 6\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 70*l + 188 + 8*l**3 - 186 - 5*l**3 as q*l**2 + y + n*l**3 + z*l and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7809 is divided by 1543.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 607 is divided by (3 - 64)*(-5 - -4).\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*i - 571 = -535 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwowow. What is prob of picking 2 o?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 92498529?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, y: 1, w: 3, t: 1, k: 8}. What is prob of sequence yw?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1221 (base 3) to base 12\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 579238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z**2 + 1761*z - 8941. Give n(5).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 6134*i - 5. Let q(n) = -5*n - 2. Determine q(z(m)).\nAnswer: -30670*m + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1 (b) 0 (c) 2 (d) 0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33 - 59. Let n = 39 + w. What is the second derivative of -12*p + 27*p**3 + n*p + 12*p wrt p?\nAnswer: 162*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a microsecond in nanoseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -426132 = 370*q - 441302 for q.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.583 rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54192 is divided by 27094?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -141, -284, -439, -612, -809, -1036, -1299?\nAnswer: -1604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 220 = -q. Let u be 2\/2*(-44)\/q. Which is the smallest value? (a) 4 (b) -2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 4. Let k(o) = o**2 - 3*o + 1. Let y be k(d). Let u = 67 - y. Is u a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kuuukukukuuukuuuuuu. What is prob of sequence ukk?\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 52\/(-13) - (-1 + -13). Let k = t - 0. Solve -6*p - k = -p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/839, 108\/199, 0.4?\nAnswer: -2\/839","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.65854 (b) 2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -3*i**2. Let j(v) be the first derivative of 2 + 0*v**2 + 0*v + 4\/3*v**3. Determine j(n(w)).\nAnswer: 36*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*c + 69 - 69)*((-2 + 3 - 3)*(0 + 2 + 0) + 2 - 2 + 1 + 3 - 1 - 4)*(-3*c + 0*c + 2*c).\nAnswer: 70*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of -1\/3*f**3 + 3*f**2 + 0*f + 0 - 1\/24*f**4. What is w(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 5:15 AM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3*((2*sqrt(468))**2 + sqrt(468)) + sqrt(468) + 0 - (sqrt(1053) + sqrt(1053)*1 + -5 + sqrt(1053) - (2*sqrt(1053) + -3))**2).\nAnswer: -26692 + 96*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -19, -51, -83, -115, -147?\n\"Answer: -32*k + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + w - 175, -4*n + 80 = -3*w - 115. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -337*i**2 + 81*i**2 + 95*i**2 + 89*i**2 + 85*i**2.\nAnswer: 13*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of -h**4\/21 - 24*h**3\/7 + 74*h**2\/7 + 197*h. Factor s(q).\nAnswer: -4*(q - 1)*(q + 37)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 + 6*x**2 + x + 1. Let s be j(-6). Let n be (-2)\/5 - (-8)\/(-5). Sort s, n, 5 in descending order.\nAnswer: 5, n, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 1 - 19 = f, 4*f = -2*v - 6. Which is the third biggest value? (a) f (b) -0.3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, z: 3, n: 6, y: 4, s: 2, d: 1}. Give prob of sequence nd.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3968 is divided by 640?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.2 and -85?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -345, 567, 0.7 in decreasing order.\nAnswer: 567, 0.7, -345","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 14*y**2 + 2*y + 18. Determine v(-14).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 AM and 3:26 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 22 = -4*h, -h + 0 = -5 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -18082.625 plus -48922421?\nAnswer: -48940503.625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1))**15*(h**(-1\/2))**(1\/13) assuming h is positive.\nAnswer: h**(-391\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.056 - 28.96.\nAnswer: -29.016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 405734 divided by 28981?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 51 + -48. Solve 22 = -2*x - 3*x - g*u, x + 3 = -2*u for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 0.06, 0, -1\/9, -13892, 1\/4, -1?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-7)*(-3080)\/(-176)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d + 3. Let y be p(-1). Suppose 25 - 5 = 4*g. Calculate the greatest common divisor of g and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3090\/21321)\/((-1)\/((-18)\/15)).\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 4*f - 185 = 5*x, 3*x = f - 109. Let y = 40 + x. Suppose y*i - 28 = -5*r + 68, 5*r + 75 = 5*i. Solve 4*z = -3*o - i, 6*z - z + o = -10 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -3*q + 0*q + 2*q. Let a(v) = 5*v + v - v - v. Determine l(a(f)).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i + 49 = -4*i. Suppose k = 4*j - 3*j + 5, -k + i = -3*j. Solve -z = -6*z + u - 22, 0 = -k*z + u - 17 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 3*q - 8. Let t be p(6). Let g = 13 - t. Is 12\/7 at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - -24. Let b(u) = 4*u**2 - 36*u + 98. Let k be b(5). Calculate the greatest common factor of k and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 206 + -195 - (-2 - -16).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -391 and -390 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c**5 + 228460*c**4 + 3262008988*c**3 - 3262465916*c**2 - 3262008992*c + 3262237456 = 0. What is c?\nAnswer: -28558, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2429, -207, 2015, 4237, 6459, 8681?\n\"Answer: 2222*s - 4651","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -46*j + 1405. Calculate x(30).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 + -17. Is a at most 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifth of a millennium?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 55558207 * 0.4\nAnswer: 22223282.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1647090 and 1317672.\nAnswer: 6588360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*j + 19. Suppose 0 = -60*m - 29 + 89. Solve -4*d + m = -j*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -90\/17 (b) 1.6 (c) -0.2 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4023 and 745.\nAnswer: 20115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -113 - -118. Let y(d) = d + 1. Let z(l) = 5*l + 10. Let n(s) = -3*y(s) + z(s). Let i(v) = -6*v - 20. Give j*i(q) + 14*n(q).\nAnswer: -2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - -3)\/(2\/12). Let z be ((-1800)\/700)\/(2\/(-1379)). Suppose -3*v = m*v - z. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.29 times 920052?\nAnswer: 3026971.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 3*w + 3, -5*c + 4*w + 13 = -28. What is the first derivative of -43 + 34 - 2*g**4 + c*g**4 wrt g?\nAnswer: 12*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.5 - 0.3. Let r = 0.8 + a. What is the closest to r in -4, 2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -10.999965. Round w to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*p + 4*p + 0*p)*(-76 - 315 - 260)*(5*p + p - 5*p) in the form g + q*p**2 + z*p and give q.\nAnswer: -651","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 6) in base 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 115 + 1\/(-3 + 4). Let m(c) = 5*c - 4 + 119*c**2 - 236*c**2 + z*c**2. Give m(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -73 + 102. Suppose n - 1 = w. What is the highest common divisor of 15 and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8066600 rounded to the nearest 100000?\nAnswer: -8100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25.9 - 25.9000471. Round q to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*z + 2*z - z)*(4*z - z**4 - 2*z**2 - 4*z).\nAnswer: 7*z**5 + 14*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 33145 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69, -343, -863, -1683, -2857, -4439, -6483?\nAnswer: -9043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 210\/73 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -362, -1259, -2966, -5741, -9842, -15527, -23054?\nAnswer: -32681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**21*c)\/c)\/(c**(2\/7)\/c) assuming c is positive.\nAnswer: c**(166\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29375 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c - 160 = 9*c. Let d(t) = t**3 - 2*t**2 - 4*t + 3. Let v be d(3). Suppose 0 = -5*i + 5*q + c, 4*i + q + 4*q - 37 = v. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.21 + -4.71. Let i = w - -4. Let j = 11.5585 - 11.8085. Which is the smallest value? (a) j (b) 1\/5 (c) -3\/8 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of -o**4\/12 + 3*o**3 + 17*o**2\/2 - 3*o. Let u be ((-36)\/(-144))\/(2\/56) - -12. Determine k(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35604 divided by 3?\nAnswer: 11868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 65265085 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*d - 13 = 0, 2*d + 6 = 5*v - 17. Suppose 4*f + 5 = v*u - 7, -2*u = -3*f - 9. Are f and -2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -2*c + 11, -3*p + p = -2 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 2.65. Let p = j + -0.65077. What is p rounded to four dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-216)\/(-24) - (-7)\/(-1). Let s(q) = q**2 + 5*q - 3. Let i be s(-6). Suppose -3*r = i*r - b*r. Solve k + r - 2 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = 16 + 2. Let v(u) = -4*u + 1. Let h(g) = -g. Let z(f) = c*h(f) - v(f). Let w(l) = -l**2 - 5*l - 5. Let d be w(-5). Determine z(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**3 - 4*x**3 + 2*x**3 - 4 + 2*x**3 + 4 + (2*x**2 + 0*x**2 - 4*x**2)*(-3 + 3 - x))*(-76 - 641*x + 33 + 44).\nAnswer: -3205*x**4 + 5*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2619 - 1451 - 10*u - 1252)*(u - 1 + 1) to the form l*u**2 + v*u + g and give l.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (21 - (43 - 18) - 1 - (-10 + 1)) + 50?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - 6*u**2 - 9*u - 1. Let h be g(-4). Solve 0 = 2*f + h*f + 15 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 278650 divided by 55730?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 2*b - 8, 8 = 2*b + i + i. What is the remainder when 10 is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7008866, -7008884, -7008916, -7008968, -7009046, -7009156?\nAnswer: -7009304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 2 - 10*b**2 - 5*b**2 + 10*b**2 in the form u + p*b + m*b**2 and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.3 and 8.67?\nAnswer: 11.271","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8850889 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7033 is divided by 2030?\nAnswer: 943","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-234)\/(-4)*32\/48?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -401 + -171800?\nAnswer: -172301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 99.21 + -99. Let z = -3811.0899992 + 3811.3. Let l = z - p. Round l to 7 dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14\/7 - 2\/(-2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2 and -234133675.\nAnswer: -234133675.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*n**3 + n**3 + 4*n**3 + 11*n**3 + 9*n**3 - 11*n**3 + (-3*n + 0*n + 0*n)*(2*n**2 - 2*n + 2*n).\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 24 = s, 0*s - 2*s = 2*u - 32. What is the common denominator of -49\/3 and ((-3)\/s + (-38)\/(-216))*24?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0707 - -0.4707. Suppose 4*y = g + 10 - 1, g = -5. Which is the third smallest value? (a) y (b) m (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9478.2593 rounded to the nearest ten?\nAnswer: -9480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -18259 and -2\/7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1692 + 1692. Solve 4*s - 3*k = 14, g = 4*s + 3*k - 0*k - 26 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 59661 + -240867\/4. Let d = 575 + x. What is the common denominator of -15\/2 and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4434984 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 + 40 + 49*m - 15 - 9 as p + d*m and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -20.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1 - -1) + -1)*19. Let j = -85 + 126. Let r = u + j. What is the remainder when r is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78792154 to the power of 1\/3, to the nearest integer?\nAnswer: 429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 90447 to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*((t\/t**(1\/41))\/t)\/t)\/t**17*t\/(t\/(t**16*t))*t*t**18 assuming t is positive.\nAnswer: t**(778\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*-2*sqrt(88) - sqrt(88))\/(sqrt(32)\/(sqrt(36) + sqrt(4) + sqrt(4))))**2 + sqrt(33)\/(sqrt(3) - sqrt(243)) + (sqrt(33)\/sqrt(3)*5)**2.\nAnswer: -sqrt(11)\/8 + 33550","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -995*w - 1964. Calculate f(-2).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - 120740766?\nAnswer: -120740767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 18\/6*(-20)\/12. Let p(t) = -t**3 - 3*t**2 + 11*t + 7. Let y be p(z). Solve -7*g + 20 = -y*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of z**3\/6 - 3*z**2\/2 + 984*z. Let m = -4 - -7. Let i be f(m). What is the smallest value in 1\/5, i, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 70100000 to the nearest one million.\nAnswer: 70000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1811534?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -c**2\/2 + 14*c - 221. Let v(d) = d + 19. Let s be v(-9). Calculate m(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ihf when three letters picked without replacement from {i: 3, r: 1, f: 2, u: 1, h: 3}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 6*o + 1. Let g be a(0). Let v be g*(-1)\/2*0\/1. Suppose v = 5*y - 48 - 2. Calculate the remainder when 49 is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 253?\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03792 to 3 dps.\nAnswer: -0.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 114 - 41. Suppose 3*x = -2*y + h - 4, -106 = -3*y - 2*x. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -233110000 rounded to the nearest one million?\nAnswer: -233000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 4*s + 4120 = 19271, 0 = -4*t - 3*s + 12096. What is the hundreds digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -589 - -594. Suppose 441*z - 41*z + r*z**4 + 90*z**3 + 465*z**2 - 466 - 494 = 0. What is z?\nAnswer: -8, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of b**4\/24 - b**2 + 24*b. Let k(h) = -2 + 4 - 12*h - 5. Calculate k(g(w)).\nAnswer: -12*w - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 35*c**2 - 56*c + 3. What is the thousands digit of r(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k + 0*k - 5*k)*(1 - k**3 - 1) + 3*k**2 - 3*k**2 + k**4 - 105*k**4 - 406*k**4 - 574*k**4.\nAnswer: -1082*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*h + 1913 = 7597. What are the prime factors of h?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a**2 - 8*a**2 + 6*a**2 + 14*a**3 + (-4 + 5 + 3)*(-a**3 + 6*a**3 - 3*a**3) + (-3 + 3 - a)*(5*a**2 + a**2 - 5*a**2).\nAnswer: 21*a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 110, 218, 322, 422, 518, 610?\n\"Answer: -2*z**2 + 114*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (40\/(-15) - -6)*6\/5. Suppose 6*q = q. Suppose b = k*o + 110, b = -q*o - 2*o + 80. What is the highest common factor of 15 and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, 156 in increasing order.\nAnswer: -4, 5, 156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*262*8\/(-16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1803913?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*o + 0*o - 4*o + 21*o.\nAnswer: 9*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 13306 = 3*h, 114*h - 110*h + 4*w = 17784. What is the thousands digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21762 and 3105.\nAnswer: 2502630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 288 a factor of 3741560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1632 and 4209999?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.5 - 89. What is x rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 1 + (-3 - 23) + 9 + 1?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 5:42 PM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5 - -2)\/(21\/(-2)). Let l(u) = u**2 + 12*u + 12. Let z be l(-11). What is the nearest to z in k, 0.2, -1\/6?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5225 - 5223. What is the closest to 1\/3 in -4\/7, 0.01, g, 3?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5620 + 690. What is i rounded to the nearest one hundred?\nAnswer: -4900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13530 bigger than 13492?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q\/((q\/q**(-11))\/q))\/q**(-5) assuming q is positive.\nAnswer: q**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1809, 388, 2585, 4782, 6979, 9176?\nAnswer: 11373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(234)\/(sqrt(24)\/sqrt(4)))\/(sqrt(3) + (sqrt(12) + sqrt(24)\/sqrt(2) + sqrt(12))\/sqrt(4) - sqrt(3)).\nAnswer: sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -3*r**2 - 45*r - 3. Let l(h) = -5*h**2 - 68*h - 4. Let q(p) = 3*f(p) - 2*l(p). What is q(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34925 - 34927. Which is the third biggest value? (a) -2\/187 (b) -1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 798.0163 centimeters in millimeters?\nAnswer: 7980.163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -5*b**3 - b**2 + 3*b - 1. Let g(o) = -13*o**3 - 3*o**2 + 7*o - 3. Determine 2*g(v) - 5*y(v).\nAnswer: -v**3 - v**2 - v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - (3 + 35 - -3). Let l be (60\/35)\/((-4)\/d). Suppose 4*b = 5*w - 2*w + 29, -l = -3*b + w. Solve -3*s + b = c, 3*s + 5 = -2*c + 15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 2*i. Let g(d) = -29016*d**2. Determine x(g(w)).\nAnswer: 841928256*w**4 + 58032*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13260 + -13125. Calculate the greatest common divisor of 205 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -7*w - 7 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of 20\/3*m**3 - 2*m**2 + 2\/15*m**5 + 2\/3*m**6 + 0 - 8\/35*m**7 + 1\/84*m**8 + 0*m - 7\/2*m**4. Find o, given that p(o) = 0.\nAnswer: -1, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 2 - -1) + -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 6, -4, 8 in ascending order.\nAnswer: -4, -2, 0, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 1245 + 52 = 3*n, 0 = -n + 4*x + 427. Suppose -n - 889 = -11*c. Let r be 18 + (1 - 2) + -2. Calculate the highest common divisor of r and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7751 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-3\/2)*i)**(-12)\/(i*i**(1\/25)\/i*i*(i*i*(i**(2\/43)\/i)\/i)\/i) assuming i is positive.\nAnswer: i**(-6543\/1075)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -170 less than -169?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1423702?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -3*w**2. Let t(k) = 635*k**2. Determine s(t(x)).\nAnswer: -1209675*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 11:53 PM?\nAnswer: 12:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, a: 9, p: 5, e: 2}. Give prob of picking 1 d and 3 a.\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 33 - 1c15?\nAnswer: -1bb2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 9*l - 3. Let n be t(2). Let b = n + -3. Calculate the remainder when 23 is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0009204 rounded to 5 dps?\nAnswer: 0.00092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 174 + 15 = -3*z, -4*z - 180 = -4*b. Suppose 98*k - 105 = 192*k - 101*k. What is the remainder when b is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -11*b**2 - 6*b + 6. Let m(c) be the third derivative of -22*c**5\/5 - 143*c**4\/24 + 143*c**3\/6 - 794*c**2. What is 6*m(f) - 143*w(f)?\nAnswer: -11*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 2\/11, 7.4, -0.3, 26?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4532 - -809. Round u to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**3 + 43*m**2 - 41*m**2 - 38 - 3*m**2.\nAnswer: -m**3 - m**2 - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1222122 - -1100200?\nAnswer: -121222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 16*n**2 + 14*n - 8. Let s be j(-15). Do 7 and s have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - 54.2752477?\nAnswer: -62.2752477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 6. Let v(q) = -9*q**3 - 2*q**2 + 4*q + 3. Let j be v(g). What is the units digit of (10\/(-6))\/(2\/j*-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 2371800 rounded to the nearest one hundred thousand?\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7118071.753 and 0.6.\nAnswer: -7118071.153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w = -6*w - 585. Is w a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 50?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -h + 6*s - 19, -h + 17 = 5*s. Suppose 5*j - 14 = -39. Sort j, h, 0 in decreasing order.\nAnswer: 0, h, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-155)\/(-15) + -3 - 7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -205*n*o*q**3 + 5*n*o*q + 1002*n*q**3 - 49*n*q + 716*n + o*q**2 + 7*o*q - 42*q**3 wrt q.\nAnswer: -1230*n*o + 6012*n - 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 42281\/4 + -10484. Let o = 87 - r. Let n(s) = -5*s + 1. Let k be n(1). Which is the biggest value? (a) -0.4 (b) k (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15943599 is divided by 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3276020856?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -305 - -308. What is the second derivative of -d*m**3 + 0*m**3 + m + 2*m**3 - 26 + 7*m**5 + 7*m**3 wrt m?\nAnswer: 140*m**3 + 36*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6330959878889.4699884 + 6330962015045. Let c = o + -2136156. Let g = c + 0.47. What is g rounded to 6 decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 285, 569, 853, 1137?\n\"Answer: 284*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -393 and 3.\nAnswer: -1179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 + 2 - 5)*(4 + 7 - 2) - 142 + 73 + 79)*(0*u + 0*u - 2*u) to the form z*u + m and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 737\/12 + -176\/3. Sort -1, p, -4 in decreasing order.\nAnswer: p, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + (-28 - (-46 - -40))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**3 + 5352*i**2 + 86400*i + 346624.\nAnswer: -4*(i - 1354)*(i + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - -1100010?\nAnswer: 1011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -7*d**4\/4 - 2*d**3\/3 + d - 1. Suppose -l + 5*u + 21 = 3*l, 12 = 2*l - 4*u. Suppose g - 5*g = -l. What is a(g)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13a (base 13) to base 15\nAnswer: e8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5914 - 74 = 5*t. Let c = 1522 - 2197. Let m = t + c. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10333 (base 4) in base 9?\nAnswer: -384","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 7 (b) 31 (c) -1\/117 (d) 7\/2 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, y: 5, v: 8}. Give prob of sequence vyv.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - ((-4 + 16 - -4) + -21)) + -9?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 21*(-4 + (-14)\/(-3)). Let s be (4\/x)\/(-5 + 168\/32). Which is the second smallest value? (a) 0.5 (b) s (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/sqrt(5)*-4 + sqrt(11) + 4 + sqrt(44) - ((sqrt(539) + -2 + -4 + sqrt(539))*-3)**2.\nAnswer: -19724 + 1511*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-22)\/33)\/((-195)\/234)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = d + 6*k + 20, -4*k = 8. Let o(a) = -10*a + 30. What is the hundreds digit of o(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.2554cm to meters.\nAnswer: 0.012554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -304936*d - 5793788. Give c(-19).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + 17*c**2 - 14*c + 18. Does 10 divide p(16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1188 and 220.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 PM and 7:30 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11\/52 - -6\/13. Let m = -63 + 66. Which is the third smallest value? (a) m (b) 0.5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1183526820 a multiple of 965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 3*c = 12, 19*a + 8 = 21*a - c for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -7*i**3 + 60*i - 5. Let f(y) = -4*y**3 + 30*y - 3. Let v(b) = 5*f(b) - 3*o(b). What is the second derivative of v(j) wrt j?\nAnswer: 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23 + 23 - 9*z)*(-57 + 57 + 21*z + z**2).\nAnswer: -9*z**3 - 189*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 453 divided by -3.\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 23251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*v**2 + 0 + 5 - 5 to d + j*v**2 + r*v and give j.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2172, -8733, -19696, -35085, -54924?\n\"Answer: -4*y**3 - 2177*y**2 - 2*y + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 175 + -122. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*b = -c - 13*b - 8, -5*b - 5 = -2*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14959 + -14959. Are q and -3\/592 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of 1190*l**3\/3 + 1118*l - 2029. Differentiate x(b) wrt b.\nAnswer: 2380*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -15*n + 8 + 5 + 0 + 0*n. Let w(l) = -4*l + 3. Let a(c) = 6*r(c) - 22*w(c). Let t be a(4). Which is greater: 5 or t?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144648354 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -2\/17, -1\/4, 503731, 5, 2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t + 313961 - 4*t**2 - 627927 + 313966 + 3*t.\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.09*287152.\nAnswer: 25843.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n - 719 = 63*n + 161 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of c**4\/6 + 7*c**3\/3 + 6*c**2 + 410*c - 1. Give f(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/8 and 10\/(-30) + (-62)\/(-60).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 o when two letters picked without replacement from {f: 1, t: 1, h: 1, r: 1, o: 5}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.6 - 3.6. Let x = 0.11 + -2.11. Let l = y - x. Sort 1, 0.4, l in descending order.\nAnswer: 1, 0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9117.87575 to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 1, -3\/7, 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t - 44. Determine l(-19).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5216 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -24776, -2, 127, 0.2, -4, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/5 of a hour?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - 3*m + 2*m)*(52*m + 7*m - 19*m + 1).\nAnswer: -80*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/(-10))\/(1\/((-15)\/(-18))). Which is the smallest value? (a) 0.01 (b) -0.09 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -349*k**2 - 7*k + 16. Let v(c) = 349*c**2 + 6*c - 14. Let g(r) = -2*p(r) - 3*v(r). What is the second derivative of g(i) wrt i?\nAnswer: -698","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 100\/3, 1\/4, 10, -4, 11, 0.05, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3 + 28*p**2 - 22*p - 52.\nAnswer: -2*(p - 13)*(p - 2)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4001035 by -47071.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2891.4 + 2891. Let m = 1330\/9 - 148. Sort -5\/6, j, -4, m in descending order.\nAnswer: m, j, -5\/6, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43443 divided by -6.\nAnswer: -14481\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 206174644?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 11 (b) -1 (c) -0.5 (d) 142 (e) 0.07\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a - 12 = -4*a. Let s(p) = 9*p + 104. Let o be s(-11). Sort o, 12, a.\nAnswer: a, o, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (0 + 1) - 13) + -4.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of -c**4\/6 - 6123*c. Let w(j) = 11*j - 1. Let o(u) = -39*u + 3. Let d(i) = 5*o(i) + 18*w(i). Give x(d(k)).\nAnswer: -18*k**2 + 36*k - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 8:48 PM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1\/58)*f*f*(f**35\/f)\/f*(f\/f**10)\/(f\/(f\/f**(1\/49))) assuming f is positive.\nAnswer: f**(73785\/2842)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 + 3*f - 8. Let v be t(4). Let x(i) = -7*i + v*i - 12*i. Let w(y) = 5*y + 2. Determine -w(r) + 4*x(r).\nAnswer: -r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11719, -11734, -11749, -11764?\nAnswer: -11779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 144\/83?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4 + (-5 + sqrt(272) + 1 + -4 - 1*(1*sqrt(272)*1)**2))*5.\nAnswer: -80*sqrt(17) + 5520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 0.0954553?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 PM and 6:22 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 264 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-4)*j\/((((j*j*j\/j**14)\/j)\/j)\/j))\/(j*j\/(j*j**(2\/15)*j*j*j)*j**(2\/3)))**(-48) assuming j is positive.\nAnswer: j**(-2992\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-44)\/(-66))\/(1\/3). Suppose -r + 24 = 21. Let o = 5.9 + -6. Which is the closest to o? (a) x (b) r (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 63 + 51b?\nAnswer: 580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1061128751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -104 + 71. Let t = 81 + s. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*u - 3 + 3)*(-u**2 + u**2 + 2*u**2) + (-1 + 4*u + 0 - 1)*(-2*u**2 - 7*u**2 - u**2).\nAnswer: -24*u**3 + 20*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/255 and 187\/30.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (sqrt(144)*-4 + sqrt(36))\/((2*sqrt(24))\/sqrt(2)) + 4)*5 + 1 + -1)**2.\nAnswer: 175*sqrt(3) + 3775\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 379692.\nAnswer: 379692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5612.5 - 5613. Let t be ((-1)\/(-4))\/(2\/4). Which is the closest to t? (a) 6 (b) -1\/4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - -3 - 2 - (-24 + 2 - (-3 + 0))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63320 divided by -10.\nAnswer: 6332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 5*i = -92, -5*k - 11*i + 136 = -10*i. Suppose 0 = -8*t + 20 + k. Let c(z) = 0 - z**2 + 0 + 7*z. Give c(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1136)\/(-25)*3890\/(-29564) - -6.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111 is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59, 54, 63, 92, 147, 234, 359, 528?\nAnswer: 747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30145 (base 6) to base 2.\nAnswer: -111101110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19053 is divided by 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 304338413 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of -1\/200*c**6 + 0*c + 0 + 2\/5*c**3 + 73*c**2 + 3\/50*c**5 - 9\/40*c**4. Factor r(t).\nAnswer: -3*(t - 4)*(t - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(((-20)\/(-15))\/(-2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0832 to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14 + -29?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 180\/80 - 3\/(-4). Let p(u) = 4*u - 1. Let z(w) = -3*w + 2. Let n(r) = f*z(r) + 2*p(r). Calculate n(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 2*p**4\/13 - 12*p**3\/13 - 142*p**2\/13 + 480*p\/13 + 3200\/13 = 0.\nAnswer: -5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 42 - 19. Does 14 divide r*(-3)\/((-6)\/14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20\/10*1\/(-2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**3\/7 - 9*m**2 + 63*m - 147.\nAnswer: 3*(m - 7)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 - 7*y + 2. Suppose 4*v + 96 = 68. Let f be k(v). Suppose 87 = f*w - 79. What are the prime factors of w?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -103593190*a**3 + 9603035 wrt a?\nAnswer: -310779570*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r - 649. Let w(y) = -152*y**2 - 64*y + 768. Let k(t) = 12*t**2 + 5*t - 60. Let x(z) = -64*k(z) - 5*w(z). Calculate h(x(f)).\nAnswer: -16*f**2 - 649","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -991\/7 + 141. Let v = 2.06 - -0.94. What is the closest to -0.1 in d, -0.6, v?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*g = -0*g - 25*g - 450 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of -s**6\/120 + 7*s**5\/60 - s**4\/3 + s**3\/2 - 59*s**2. Determine n(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7a (base 13) to base 3\nAnswer: 10202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1401 - -254. Suppose -u = -2*g - 3*g. Suppose -g = -4*k + z, -82 - 155 = -3*k - 3*z. Is k a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 31, -15, 2, 5, -192 in descending order.\nAnswer: 31, 5, 2, -5, -15, -192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2489?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15086 = 231*g - 628*g for g.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 4*x = 6 - 4, 2*q = 2*x + 8. Solve q + 7 = -3*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.21 + -8.21. Let u = h - -8.3. Which is the third smallest value? (a) -2\/9 (b) u (c) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 154 and 3642738.\nAnswer: 25499166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 31 + 2*c**2 - 26 + c - 66 + 4 + 13*c**3 as h*c**3 + y*c**2 + p*c + t and give t.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 443*k**2 - 25*k + 21. What is f(2)?\nAnswer: 1743","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l**2 + 211 - 3*l**2 + 220 - 561 + 174 + 6*l**2.\nAnswer: -2*l**2 + 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 549 - 2744\/5. Sort 0, u, 0.4, -6\/19 in ascending order.\nAnswer: -6\/19, 0, u, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a + 12. Let x be b(11). Suppose -j + 4 = x. Is 3 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - -62 - 97) + 31 + 1 + 1 + -40\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/299)\/((-9434)\/(-122642))?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 557670 and 557670?\nAnswer: 557670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 100*y**3 + 54*y**2 + 696*y - 7. Let s(q) = -101*q**3 - 48*q**2 - 698*q + 6. Let f(k) = -6*n(k) - 7*s(k). Find the second derivative of f(r) wrt r.\nAnswer: 642*r + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 36\/11, 0.1, 0.04, 0.3, 2, -2\/5?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4312 - -21919\/5. Let f = 72 - l. Let t = -0.1 - 1.9. Which is the third biggest value? (a) 0 (b) t (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.241542 meters to micrometers.\nAnswer: 6241542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 6*v + 5. Suppose 461 + 13 = -3*r. Let y = r + 163. Let f(i) = -7*i - 6. Calculate y*j(h) + 4*f(h).\nAnswer: 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 552 = 137*z, 4 = -3*m - 2 + 3 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-6)\/(-4)*124\/651).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -27\/2, 0.4, -15, -722?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/100*5*(-4 - 6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sh when two letters picked without replacement from mhglnghshmgs?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + y - 8, -13 = 4*a - 5*y + 15. Let z = 5 + a. Solve -2*i = z*i - 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 814757 is divided by 49?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36811\/4 + -9203. Are 683 and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 182709399*f*x + 3644*f - 3218 wrt x?\nAnswer: 182709399*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) + -2*sqrt(136) + sqrt(136))*-5*3)\/((sqrt(800) - -3*sqrt(800) - sqrt(800))*4) + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 2:24 AM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one fifth of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2273, -20\/11, 4 in decreasing order.\nAnswer: 4, -20\/11, -2273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - 1)*24\/(-16). Let c = -1 + 3. Suppose -3*h + 10 = c*h. Which is bigger: w or h?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w. Let d(c) be the first derivative of 5*c**3\/3 + 3*c**2\/2 + 284. Give d(j) + g(j).\nAnswer: 5*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6359, 6130, 5753, 5228?\nAnswer: 4555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 102 = -107 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 588*a - 182*a + 9 - 218*a - 189*a. Calculate t(-22).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 420637391 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*h + 4 = -33*h + 3*g, h + 8 = 5*g for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -5 - -20) + -14 + (23 - -22)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -207*f**2 - 3*f - 4. Let i(h) = 2*h. Give i(c(y)).\nAnswer: -414*y**2 - 6*y - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 227, 422, 723, 1136, 1667?\n\"Answer: a**3 + 47*a**2 + 47*a + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5979 is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -87 - -89. Suppose 2*d = t + 18. Suppose -d*s - 33 = -333. What is the remainder when 58 is divided by s?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 - (27 + 16 + (-40 - -66))?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*b - 6*b - 3*y, -b - 3*y = -2. Let t(q) = -q**2 + 8*q - 4. Let l be t(7). Let a = l - 1. Are b and a nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/5))**43*(x**5)**32)**(-47\/4) assuming x is positive.\nAnswer: x**(-16779\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16.2 - 21.2. Which is the second biggest value? (a) 6\/11 (b) f (c) -10 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 162*g*t - 3*g + 3 wrt t.\nAnswer: 162*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13938936 plus -86350?\nAnswer: 13852586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28019507*r**4*v - 10*r**2*v - 8*r**2 + 2*r*v - 816*v + 14 wrt r?\nAnswer: 672468168*r*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9287945 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 12 - (48 + (23 - 10)) - -2?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7339\/665448 - 5\/408. Are 1 and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/4, 1\/7, 9, 2\/9, 2, 2\/107?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 1:49 PM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of -u**8\/8064 + u**7\/336 + 7*u**5\/10 + 28*u**2. Let k(a) be the third derivative of c(a). Determine g so that k(g) = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1420 a factor of 17171625?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 296 and 481074.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 3. Suppose 3*j - 5*u = -15, -u = -z*j + 1 - 4. Is (j - (1 - 1)) + 21 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 l when two letters picked without replacement from vqvulvuv?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 114, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29 - -48. Let r = 0 - -4. Suppose r*s = 61 + 83. What is the remainder when s is divided by t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 55474 + 0?\nAnswer: 55474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.65 times 5.24\nAnswer: -3.406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 0.2, 1.5, -0.5 in decreasing order.\nAnswer: 1.5, 0.2, -0.5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 165 - 165. Let j be (-1)\/(-2) + 20\/(-72). What is the nearest to 0.3 in j, 3, u?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5588*q - 21886 = 5235*q for q.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6345109, 12690217, 19035325, 25380433?\nAnswer: 31725541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 9:09 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-6))\/(160\/(-576)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/4 - 1468067*d\/2 + 2155220716489\/4.\nAnswer: (d - 1468067)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 2*h)*(-3*h + 3*h + 3*h) + 42 - 42 - 11*h**2 to the form q + n*h**2 + t*h and give n.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/10 and -87\/1353974266.\nAnswer: 6769871330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*h - 4*m, -5*h + 9 + 15 = -2*m. Let z be 5 - (-111 - (h - 5)). Let u be 84*((-4)\/(-18) - z\/162). Are -41 and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 12a8 + 140?\nAnswer: 1418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3020037 is divided by 335557?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + 5*a**2 - 2*a + 3. Let h be v(-4). What is the highest common factor of 297 and h?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 102 + c**2 + 29 - 3.\nAnswer: c**2 + 147","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 12 = -2*n. Suppose n*b = b + 3. Solve -2*c - 10 = b*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 16 + 8. Is n bigger than -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.096676301 to two decimal places.\nAnswer: -18.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-39)\/(-26)*(-2)\/6. What is the nearest to -2 in -1\/3, z, -1\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -0.084?\nAnswer: -3.916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + 41*d**2 + 40*d - 109. Does 57 divide p(39)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13631490 is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.7 and 26.\nAnswer: 25.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 51521667544 and -30.\nAnswer: 51521667514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 46212, -7\/6, 7 in descending order.\nAnswer: 46212, 7, 0.3, -7\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vl when two letters picked without replacement from {a: 2, v: 2, j: 8, l: 6}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -23*y + 5*y - 6*y - 4. Let f = -532 - -529. What are the prime factors of t(f)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 8. Solve -g*x = -2*b - 2*b - 8, -4*b + x - 5 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of 0*r**4 + 2*r + 1\/315*r**7 + 1\/15*r**5 - 1\/36*r**6 + 0*r**3 + 0 + 34*r**2. Factor z(d).\nAnswer: 2*d**2*(d - 3)*(d - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 694012655*b**3 + 36*b**2 + 3281573 wrt b.\nAnswer: 4164075930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -12*m - 12. Let p be a(-1). Let w(n) be the third derivative of 13*n**2 + 0*n**4 - 1\/140*n**5 + 0 + 0*n + p*n**3 - 1\/280*n**6. What is v in w(v) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 936, -1, 5 in decreasing order.\nAnswer: 936, 9, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**5\/g**(1\/7)*(g**(2\/3))**44 assuming g is positive.\nAnswer: g**(718\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8, 3\/41, 0.4, -2\/7, -10?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-15)\/(-4))\/((-42)\/(-112)). Suppose -f = -2*p + 4. Suppose -v + p*z = 4*z - 44, 5*z = 3*v - 128. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 253 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 - 50*f - 584. Let p be c(-21). Which is smaller: 20 or p?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39 - -42. Suppose -35 - 39 = -4*l - 3*d, -t*l + 2*d = -64. Calculate the lowest common multiple of l and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -25*h**2 - 3*h - 4. Let p(n) = 76*n**2 + 29*n + 12. Let r(z) = -6*d(z) - 2*p(z). Let c(a) be the first derivative of -a**2\/2 - 1. Determine r(c(v)).\nAnswer: -2*v**2 + 40*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10422 a multiple of 133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (532 - 555) + 0 + 17?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0145995898 + -0.0146. What is b rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.7 - -4. Let f = -0.06 - 0.94. Which is the closest to 1? (a) 5 (b) f (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 222\/(-57) + 8\/2. What is the third smallest value in 0.5, q, -1\/11, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -249 + 237. Let l be (-2)\/m + ((-1173)\/(-18))\/17. Solve -l*r = -5*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*u - u = 24 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 4. Let k = -2 + n. Calculate the remainder when 12 is divided by 10 + k + (-12)\/(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 51.88524 to zero decimal places.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 0) + 3 + 1 + -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p**(3\/8)*p))\/p)**(-3))**(6\/25) assuming p is positive.\nAnswer: p**(99\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -679, -1327, -1953, -2545, -3091, -3579?\nAnswer: -3997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + -233302?\nAnswer: -233301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147 is divided by 33.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 30 = 1. Suppose 0 = 15*t - n + 1. Solve t = -5*d - 13 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64790*f + 3 + 0 - 22040*f - 2.\nAnswer: -86830*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51*(-11)\/(484\/66)*6\/(-27)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 18455 + -3?\nAnswer: 18452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -3\/43 (c) -0.2 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -56, -4, -3, 5 in decreasing order.\nAnswer: 5, 4, -3, -4, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 272.38086s to hours.\nAnswer: 0.07566135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (27\/1)\/((-3)\/(-4)). Suppose 5*i - i = 3*w - 19, -20 = 5*i. Suppose 5*t - 1 = -l - 0*l, -t - w = 0. Calculate the highest common divisor of o and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.185 + -6.085. What is the fourth biggest value in 0, k, 70, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 1:47 PM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -0.3, 2, -5 in descending order.\nAnswer: 2, -0.3, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 240655691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z + 115 - 107 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -55*v + 106*v - 48*v - 46*v**4 - 23 wrt v.\nAnswer: -552*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*z**4 - 8 + 5*z**3 - 2*z + 0 + 38 wrt z?\nAnswer: 72*z**2 + 30*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 931324.7 micrometers in nanometers?\nAnswer: 931324700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.2, 6, -1\/844?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g**2\/2 - 3127*g + 31220 = 0. Calculate g.\nAnswer: 10, 6244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2367?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of 0*a**4 + 0*a**2 + 290 + 2\/3*a**3 + 16\/5*a**5 + 194*a. Differentiate v(d) with respect to d.\nAnswer: 64*d**3 + 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13729 divided by -62.\nAnswer: -13729\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g**5 + 3*g**2 - 3*g**2 + 2*g**5 + 3*g - 3*g + (g**4 - 3*g**4 + 3*g**4)*(2*g + 2*g - 5*g).\nAnswer: 5*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2292*m**2 + 73*m**3 + 2292*m**2)*(-8*m + 6 - 6)*(-2*m - 2*m + 2*m) - 3 - 3*m**5 + 3.\nAnswer: 1165*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -20*f. Let n(y) = -13251*y. Give g(n(h)).\nAnswer: 265020*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 54611 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -164346 divided by 301?\nAnswer: -546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2172*w**4 + w**2 + 30*w - 8.\nAnswer: 26064*w**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3837809 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3742830 + -73?\nAnswer: -3742903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38 and 418.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/56*2 - 1.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 598674?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 3\/22 (b) 0.16 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 4*y + (-2*y + 4*y - y)*(-1 + 1 - 2))*(-5*y**3 - 2*y**3 - 3*y**3).\nAnswer: -20*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of -3*m**5\/5 - 3*m - 1. What is the derivative of z(u) wrt u?\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 358 + -355. Let a(k) be the first derivative of 3 - 1\/2*k**4 - 2\/3*k**2 + 11\/9*k**m - 1\/3*k. Factor a(h).\nAnswer: -(h - 1)**2*(6*h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and -6828299.9.\nAnswer: -6828300.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**1)**(3\/10)\/(q**(-1))**(14\/5) assuming q is positive.\nAnswer: q**(17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of -g**7\/2520 + g**5\/40 + g**4\/8 - g**2. Let r(n) be the second derivative of q(n). List the prime factors of r(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -4915*g. Let k(w) = -w. Determine k(q(j)).\nAnswer: 4915*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 429 a factor of 2225703131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10732 - 10737. Let o(d) = d**2 + 8*d - 2. Let p(y) = -y**2 + y. Give h*p(u) + o(u).\nAnswer: 6*u**2 + 3*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 84 - 75. Suppose 4*g - h*g = 5*f - 20, 0 = 3*f + g - 2. Is 1 less than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -2*n + 14, -4*f - 16 = 3*n - 30. Suppose 5*o + 355 = 10*o + f*g, -5*o = g - 350. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 869171981?\nAnswer: 61, 149, 95629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 1600?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 - -13.9. Let f = 0.8 + -2.8. Let l = 4.974 + 0.026. What is the closest to f in l, -2\/9, o?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 42699595 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 6 = -39. What is the common denominator of 23\/21 and ((-4)\/w)\/((-126)\/(-765))?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 596937 is divided by 33163?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + 10*k**2 + 9*k + 28. Let y be x(11). Solve -5*m - y = -2*m, -2*z - 5*m - 16 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 878952261?\nAnswer: 3, 11, 26634917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 599 is divided by 19?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*v**2 - 27*v**2 + 0*v**3 - 12*v + 3*v**3.\nAnswer: 3*v*(v - 2)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2158?\nAnswer: 2, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.1, 3, 5, -2.34?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(-3)*(0 + (-2)\/(-2)). Solve -i = -5 - q for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -i**4*s - 15468*i**3*s**2 - 11*i**2*s + 438*i*s**2 - 4*i*s - 2*s wrt i.\nAnswer: -24*i*s - 92808*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 46*b**2*r**3 + 3*b**2*r**2 + 31*b**2*r - 10*r**3 + 2729*r wrt b?\nAnswer: 92*b*r**3 + 6*b*r**2 + 62*b*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*p = -z + 1894875, -p - 9006 - 90714 = 2*z. What is p rounded to the nearest 1000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 8368.\nAnswer: 3\/4184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19261918?\nAnswer: 2, 13, 17, 43579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - 3670 - 3400 = 0. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 15 (b) -0.3 (c) -0.1474 (d) 2\/5 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 143091814 to the power of 1\/2, to the nearest integer?\nAnswer: 11962","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 3366337548.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 9*h = -290, -9*d = -4*h - 309 + 770 for d.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hjh when three letters picked without replacement from {w: 1, u: 4, j: 2, h: 3}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 991583049, 991583057, 991583077, 991583115, 991583177, 991583269, 991583397, 991583567?\n\"Answer: z**3 + z + 991583047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -58680 to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 7 - 16 = 0. Suppose 3*g - 15 = 5*u - 0*g, l*g - 15 = -u. Suppose -2*z + 6 = 0, -o + 3*z + u - 4 = 0. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000011100 (base 2) to base 12.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - 5. Suppose -1 - 3 = -2*z. What is the remainder when (-102)\/4*z\/(-3) is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(56) - -2*sqrt(56)*-2)\/((sqrt(64) - sqrt(64)*-1)\/sqrt(8)))**2.\nAnswer: 63\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = 8*s - 3*w - 24, 28 = 4*s - 4*w for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -7 + 3 + -19 - 31.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -240060 (b) 2 (c) 14 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 286 + 282 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 157.8 - 157.81617. Round d to 4 dps.\nAnswer: -0.0162","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-324)\/(-20))\/((-249)\/(-415)))\/(-1)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9*2 - (-1 - -1). Let r be ((-3)\/1)\/(-3)*6. Suppose -r = 2*w + 5*q, 0*w + w + 2*q + 2 = 0. What is the greatest common factor of w and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z. Let y(n) = -5*n. Let t(b) = -13*b + 4*b - 26*b. Let g(i) = 18*i. Let k(a) = -7*g(a) - 4*t(a). Let r(d) = -3*k(d) - 8*y(d). Give r(m(u)).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/(-2))\/(-14)*7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 - 50 + 9*k + 19 + 14.\nAnswer: 9*k + 8","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, g: 8, z: 2}. What is prob of picking 2 z?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 36730, 36742, 36762, 36790, 36826?\n\"Answer: 4*z**2 + 36726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 15*y + 2310*y**2 - y**3 - 2299*y**2 + 10 - 4*y. Let h(w) be the second derivative of -w**4\/12 - w**3\/6 - w**2\/2 - 2*w. What is -22*h(i) - 2*t(i)?\nAnswer: 2*i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + -0.2. Let z = -0.024 - 1.888. Let i = z + -0.088. What is the closest to -3 in -1, w, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 475 = -d, 4*q + 3*d - 153 = 342. Is q a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12.476 - -6.976. Which is the closest to 2\/11? (a) 5 (b) 0.1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 23 = -0*u + 2*u, 31 = -311*u + 307*u + 5*y for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6172.1 + -6172. Which is the fourth biggest value? (a) 0.03 (b) -15 (c) -5\/2 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 12\/7, 6, -82, 362, 0.2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**4\/8 - 3739*t**3\/4 - 13103*t**2\/2 + 63627*t\/4 - 67365\/8 = 0 for t.\nAnswer: -9, 1, 7485","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 224 = 5*l - 531, 5*g - 127 = -2*l. Let s = 5261 - l. Round s to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3633431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*y - 34*y - 2*y.\nAnswer: -47*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4846 divided by 1\nAnswer: 4846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 965*c = 1042*c + 4081 for c.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of -w**6\/120 + w**5\/15 + w**4\/12 - w**3\/3 + 7*w**2. Let b be i(4). Solve -b*t = -t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9.5 - 9.9. Which is the nearest to h? (a) 2\/9 (b) 2\/37 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 48372 - 19481. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-254)\/21 + (12 - -54) + -54\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24762254?\nAnswer: 2, 11, 1125557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 + -2. Suppose -12 = -r*t + 14*t. Solve -12 = -0*n + 3*n, t*q + 4*n + 4 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 240610?\nAnswer: 2, 5, 24061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - x**2 + 2*x - 1. Let u be k(1). Let o be u\/(-5) + (-57)\/15. Let z(v) = 2*v**2 - v + 9. What is the units digit of z(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 2654*b - 8799*b + 4.\nAnswer: -6145*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -515a?\nAnswer: -5157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2403634 + -4?\nAnswer: -2403640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 11, i: 1}. Give prob of picking 1 i and 2 m.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 100, 205, 308, 409, 508, 605?\n\"Answer: -w**2 + 108*w - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -4461*d - 4225*d + 8696*d. Let t(b) = 2*b - 2*b + 2*b**2. Give t(a(z)).\nAnswer: 200*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**4 + 2514*a**3 + 422487*a**2 - 43658124*a + 904733868.\nAnswer: 3*(a - 38)**2*(a + 457)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4076554895 to the power of 1\/7, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + 61*b**2 + 251*b + 95. What is y(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 13*q**2 - q**3 - 11*q - 28*q - q + 18 + 0*q**3 + 66*q. What is the units digit of m(14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.055 * 1788\nAnswer: 98.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 7*q**2 - q. Let x be h(-7). Suppose 3*w - 2*w - 2 = 0. What is the derivative of -2 - w - 6*r + x*r wrt r?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000497578 rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-235115)\/15 - (-1 - 1))\/((-73)\/219) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3112045748 to the nearest integer?\nAnswer: 1460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 122?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fjdf when four letters picked without replacement from {f: 5, l: 4, i: 2, d: 7, j: 2}.\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5262 + 7848. Let p = d - 46633\/18. Let g = 1039\/2 - 505. Find the common denominator of g and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -154*r**2 + 6*r - 6. Let c be a(2). List the prime factors of ((-24)\/(-20))\/((-4)\/c).\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-1)\/12)\/((-130)\/28600))\/(-5*(-4)\/60)\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 + 4*v**2 - 3*v**2)*(6*v**2 + 5*v**2 - 11*v**2 - 1624*v**3).\nAnswer: 1624*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6344329637?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -4*w + 8. Let m(x) = -16 + 16 - w*x. Let i(c) be the first derivative of -c**2 + 1. Determine i(m(n)).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(936) - sqrt(26))\/(sqrt(288) - sqrt(2)) + 4*(-5 + (sqrt(156) + 1*(-1*sqrt(156) + sqrt(156) - sqrt(156)) - sqrt(156))\/sqrt(12)))**2.\nAnswer: 1080*sqrt(13)\/11 + 57877\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/3*(-11)\/11?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at most -387673?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*q**4 - 2*q**4 + 6*q**4 - 1 + 8*q**4 - 27*q**2 + 27*q**2 + (4 + 1 - 3)*(-2*q**4 - 1 + 1).\nAnswer: 3*q**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 54064 (base 9) in base 6?\nAnswer: 433351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 157597 and 76771.\nAnswer: 234368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 8:49 AM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of g**5\/20 + 3*g**4\/2 + 18*g**3 + 45*g**2. Let s(l) = 0. Calculate l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 92109755?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -261*g - 1303. Let f be p(-5). Factor 0 - 8\/7*c + 6\/7*c**f + 2\/7*c**3.\nAnswer: 2*c*(c - 1)*(c + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of -3*d**2 + 2681. Let c(p) = 70*p**2. Let b(f) = 10*f**2. Let z(w) = -20*b(w) + 3*c(w). What is l(z(a))?\nAnswer: -60*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 10*l**4 + 3482*l**3 + 249146*l**2 + 532750*l + 96612 = 0.\nAnswer: -249, -97, -2, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 141 and 435.\nAnswer: 20445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34995*g = -2*k + 34993*g - 20, 4*k = -g - 7 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -29761*q + 29761*q + q**2. Let g(j) = -28*j + 18*j + 39*j. Determine h(g(b)).\nAnswer: 841*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 2349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of 21*r**4\/8 + 89*r**3\/3 - 53*r**2. What is the derivative of p(o) wrt o?\nAnswer: 63","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (14 - (41 + -11)) + 32748?\nAnswer: 2, 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d**3 - 2*d**3 + 3 + 16.\nAnswer: -2*d**3 + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 226488 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of -437*f**4\/24 + 13*f**3\/6 - 15*f**2\/2 - 19*f. Let x(c) be the first derivative of r(c). Is x(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1485\/(-10)*8\/6. Let a = d + 348. Is a a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - 8 - 0 - (2 + -7).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.040611 rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - (2 - 2)) + -14. Let c = j - -69\/4. Suppose -2*n - n - 18 = -3*y, -3*n - 6 = 3*y. Is y greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129973117?\nAnswer: 129973117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 17 in decreasing order.\nAnswer: 17, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 33644660 (base 7) in base 14?\nAnswer: 565c30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2792 divided by -326?\nAnswer: -1396\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12111 + -12106. Let m(g) be the first derivative of -21 - 8\/5*g**n + 0*g**3 + 0*g**4 + 0*g**2 - 11*g. Find the first derivative of m(k) wrt k.\nAnswer: -32*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -9\/2 (b) -0.5 (c) 6 (d) -2\/5 (e) -0.2 (f) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -65*(78\/(-10) - 1). What is the third derivative of -3*q - 572*q**3 - 19*q**2 + f*q**3 + 28*q**4 wrt q?\nAnswer: 672*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1165457923?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/9)\/(11\/(-33)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -260533*i + 31003431. Calculate z(119).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -4*p - 3. Let d be z(-6). Let o = -15 + d. Solve -31 = 5*c - o for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*b + 10586 + 1307 = 3060 for b.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.513865 days?\nAnswer: 739.9656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5274 + -40685?\nAnswer: -34411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -5894*x + 56. Let t(q) = -1965*q + 19. Let m(u) = 3*a(u) - 10*t(u). Let n be m(2). Is -1 - (-12)\/20 - n\/(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43 + -43. Put -1, k, 4, 3 in decreasing order.\nAnswer: 4, 3, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -143, -257, -369, -479, -587, -693?\n\"Answer: z**2 - 117*z - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2323321200 (base 4) to base 5\nAnswer: 144112012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -1138, 5, -4, -1.\nAnswer: -1138, -9, -4, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1374370*t**2 - 1477959?\nAnswer: -2748740*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of 7*m**6\/30 + 2*m**5\/25 - 49*m**4\/20 + 28*m**3\/15 + 6*m**2\/5 + 5491. What is u in v(u) = 0?\nAnswer: -3, -2\/7, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*c - 42*c + 157986 = 0. Round c to the nearest one thousand.\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2 and -5726896465?\nAnswer: 5726896467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -145 - -148. Calculate the remainder when 5 is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 2. Suppose 2*r - 4*r + 6 = 0. Differentiate r - 3*k**2 - 7 + k**n wrt k.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -140, -327, -592, -935, -1356?\nAnswer: -1855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16634 = -i + 5*b, 4*i - 10*b + 11*b = 66599. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, 15, 75, 159, 267?\nAnswer: 399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 8. Suppose 4*h - 6*h + 4 = 0. Suppose -24*f = -23*f - h. Solve k*s - f = 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/14 + -6 + 1593\/252. Are -1 and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/18, 0.1, -471?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1*4\/21)\/((-10)\/255). What is the biggest value in k, -2, -0.7, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -93 + 93. Let x be 2\/(-12) - 0\/(-2). Which is the closest to 0? (a) x (b) k (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12465241?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10d931 (base 16) to base 12.\nAnswer: -452ba9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 78 - 65. Let c be (1 - 10)\/(1 - 0). Let r = u + c. Solve p - 3*a = -8, 2*p + 3*p = -r*a + 17 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -2461, -0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4034 divide 337150664?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3250143?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 586 + 65?\nAnswer: 640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + 44*v - 1975. Determine k(26).\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 4 and 5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**3 + v**2 - 169*v + 1262. What is the lowest common multiple of 66 and w(7)?\nAnswer: 2442","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 61 - 66. Which is the third biggest value? (a) x (b) -1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -519*g + 582*g - 1134 for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -s**5\/20 + s**4\/16 + 3*s**3\/4 - 9*s**2\/8 + 4115. Suppose l(z) = 0. Calculate z.\nAnswer: -3, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 12) in base 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 32440 (base 5) to base 14\nAnswer: b65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -17, 0.01, 1, 27, -3\/44?\nAnswer: -3\/44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/9*2*-3. Solve 0 = -z*t - 3 + 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4*t = 15, -2*q - 4*t - t = 24. Let y = q + 8. Let n = -0.53 + 10.53. Sort n, y, 3.\nAnswer: y, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -332 = 4*k + 72. Let j = 93 + k. Is 6\/(-24) - (2 - (-106)\/j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o**2 - 17*o + 6. Let u(l) = 3*l**2 - 4*l + 7. Let i(v) = v**2 + v + 1. Let f(s) = 4*i(s) - u(s). Let h(w) = -13*f(w) - 6*m(w). Factor h(c).\nAnswer: -(c - 1)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(384)*2 + sqrt(384)) + (sqrt(384) - -6*sqrt(384)*-2))\/(3*(sqrt(768)*1 + sqrt(768)) - 5*(sqrt(768) + (sqrt(768) - (sqrt(768) - sqrt(768)*1)))).\nAnswer: -7*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/30 and -71\/290397.\nAnswer: 2903970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -14582*a + 36305*a - 16919*a in the form j*a + i and give j.\nAnswer: 4804","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ultuvv. What is prob of sequence lt?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 65\/3 of a minute in seconds?\nAnswer: 1300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 90512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 565 (b) -5 (c) 0 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*m + 5*m + 12*m - 8*m**3 wrt m.\nAnswer: -48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s - 3*o + 27, 4*o = -5*s + o - 37 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 244.6853 + -0.5.\nAnswer: 244.1853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.7 > -28\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + 2\/(-4))*-4. Let p(s) = -5*s**2 + 10*s + 2. Let l be p(2). What is the third derivative of -2*b**2 + 3*b**5 + 11*b**5 + o*b**l - b**2 wrt b?\nAnswer: 840*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37 + -43. Let h(u) = u. Let a(t) = -18*t + 13. Let c(m) = s*h(m) - a(m). Differentiate c(b) wrt b.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2207 rounded to the nearest one hundred?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4611, -4608, -4603, -4596, -4587, -4576, -4563?\n\"Answer: p**2 - 4612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*f + 13. Let u(l) = -l**3 - 12*l**2 - 12*l - 8. Let c be u(-11). Suppose j = c + f. Solve -r = r + j for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*d**5 - 230*d**4 + 6580*d**3 + 37990*d**2 - 913775*d + 869440 = 0. Calculate d.\nAnswer: -64, -13, 1, 11, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -472 - -475. Round h to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141 is divided by 128?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 11:53 AM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2 + sqrt(3)*-2 + sqrt(3)) - sqrt(15)\/(sqrt(180)\/sqrt(4)).\nAnswer: -19*sqrt(3)\/3 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -26\/29 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*a**2 + 3*a**3 + 3*a**2 + (-a + a - 5*a)*(-34*a**2 - 33*a**2 - 4*a**2))*(-4*a + 4*a + 3 + 2*a) as c*a**3 + s*a + h + j*a**4 + x*a**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 773 is divided by 111?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -4*s**2. Let h(c) = -c**2 + 465*c + 2. Give h(k(j)).\nAnswer: -16*j**4 - 1860*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 less than or equal to 4189?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 11:35 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k + 2*k - i, 0 = i for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 646 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from oisitspooots?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88640 divided by -2.\nAnswer: 44320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -112122?\nAnswer: 112132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 251707 and 251711 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -18*d**2 + 161*d - 1. Give x(9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -424117*h**4 - h**3 + 7*h - 56615.\nAnswer: -5089404*h**2 - 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16565?\nAnswer: 5, 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 82807503 to the nearest integer?\nAnswer: 9100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 308486689 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 1677*m - 39 = 1674*m, -2 = i - 2*m for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -5 - 5. Let a(l) = l - 7. Let h(r) = 1 + 0 - 2. Let y(t) = g*h(t) - a(t). Differentiate y(u) wrt u.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 245*f**5 - 80395*f**4 + 4207430*f**3 + 418202400*f**2 + 818928000*f = 0. Calculate f.\nAnswer: -47, -2, 0, 1320\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -30b97 + 1a?\nAnswer: -30b7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100 = 19*f - 78 - 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16430?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 2*y - y - 193, -4*a + 3*y - 187 = 0. Let l = 123 + a. Let v(t) = -14*t - 3. What is the remainder when l is divided by v(-2)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119885715?\nAnswer: 3, 5, 2664127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -81*j + 109*j - 1447964. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 3:51 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 132?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/(-340))\/(4\/(-102)*(-234)\/(-4758))?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14936258.\nAnswer: 2, 7468129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 292 is divided by 50?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 2*b + 66, 79 = 3*w - 2*b - 25. List the prime factors of w.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -10744, -21575, -32486, -43483, -54572, -65759, -77050, -88451?\n\"Answer: -j**3 - 34*j**2 - 10722*j + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/5, -124310, 1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 5:29 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1071 = 34*f - 1003 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - k + 5. Give j(-4).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 68856 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 d when two letters picked without replacement from {n: 4, d: 3, u: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 1476*v + 66 - 66 + 61*v in the form p*v + w and give p.\nAnswer: 1537","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) -8 (c) -1\/8 (d) -365\/4 (e) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 + p**2 + 2. Let c be j(0). Suppose -5 = 2*q - q, -5*q - 31 = -2*s. What is the third derivative of 140*b**3 - 4*b**c + 9*b**5 - 140*b**s wrt b?\nAnswer: 540*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2024*w**4 + 10*w**3 + 37*w**2 + 137*w - 111642 wrt w.\nAnswer: 24288*w**2 + 60*w + 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -71, -2, 2633, 23 in descending order.\nAnswer: 2633, 23, -2, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -6, 4, 10 in descending order.\nAnswer: 10, 4, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14373 + -14375. Suppose -3*d + 3 = -3*l, -13 = -3*d - 4*l + 2*l. Let b(y) = y - 3. Let m(j) = 2*j - 4. Calculate c*m(r) + d*b(r).\nAnswer: -r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-2) + -12*(-13)\/390.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 7:51 AM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 425115?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*c + 2447*c**3 - 2*c**2 - 2450*c**3 + 2*c**2 + 43*c.\nAnswer: -3*c**3 + 83*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8753*z - 4387*z - 106*z**3 - 4375*z.\nAnswer: -106*z**3 - 9*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**12*h*h**(-11\/3)*(h\/(h*h**(3\/5)))**26 assuming h is positive.\nAnswer: h**(-94\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of 7*n**4\/24 - 7*n**2. Let t(d) = -d - 5. Let f(o) = o + 6. Let m(h) = 5*f(h) + 6*t(h). Determine j(m(u)).\nAnswer: -7*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of ((-588)\/(-36))\/(2\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*q**3 + 70*q**3 - 16*q**3 - 16*q**3.\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8146 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/1580 and (-19 - 0) + 53790\/2608?\nAnswer: 3160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -9. Let s = -163\/1078 + -3\/98. Let d = -20.05 - -20.55. Sort s, d, f in descending order.\nAnswer: f, d, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*h - 196 = -42*h. Suppose -69*n = -76*n + h. Solve 5*m + 7 + n = -3*g, -4*g = -3*m - 20 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*q + 48*q - 8908 = 28*q + 101 for q.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 19*(-27)\/5130 - 1\/(-2). Factor 0*g + 2\/5*g**2 - n*g**4 - 2\/5*g**3 + 0 + 2\/5*g**5.\nAnswer: 2*g**2*(g - 1)**2*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 10 = 3*r - 0*r, 5*r = g - 11. Let v = -1.2 - -1.5. Let p = 0.1 - v. Which is the nearest to g? (a) -5 (b) 2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124553826 is divided by 1564?\nAnswer: 1558","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1886 is divided by 927?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**2*r**(2\/21))**(-6\/29) assuming r is positive.\nAnswer: r**(-88\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((c*c*(c**(-1\/7)*c)\/c)\/c)\/c)\/c**(-5))**(-6\/19))**(-1\/6))**40 assuming c is positive.\nAnswer: c**(1360\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -161994, -160880, -159766, -158652, -157538, -156424?\nAnswer: -155310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z + 1. Let j(v) = -2*v**3 - 6*v**2 - 8*v - 9. Let i be j(-3). Let h be i*(-4 + 39\/9). Let s(o) = o - 6. Determine h*k(f) + s(f).\nAnswer: -4*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 - 7*u - 4. Let h be x(-6). Suppose 5*b = h*g + 5, 5*b - g - 4 = 2*b. Let p = b - -2. Solve -p*n + 28 = 8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -59 < -56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -555 or -202434\/365?\nAnswer: -202434\/365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110206 divided by 55103.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1069, 1925, 3367, 5401, 8033?\n\"Answer: v**3 + 287*v**2 - 12*v + 793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21 + 2*y - 2 + y**2 + 21 to z + g*y + f*y**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1168*n**3\/7 - 2334*n**2\/7 - 1164*n\/7 + 2\/7.\nAnswer: -2*(n + 1)**2*(584*n - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -85, 4, -1 in descending order.\nAnswer: 5, 4, -1, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 20417331 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 40 (b) -4 (c) -41 (d) -1 (e) 3\/7 (f) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 19*i**3 - i. Let g be h(1). Let q = g + -8. What is the least common multiple of q and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 5*n**2 - 7*n + 10. Let z be d(6). Suppose 0 = -5*a + 2*m + 382, -4*m = -0*m + z. List the prime factors of a.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*i*p*y - 34*i*p - 3*i*y + 9*i + 2*p - y wrt y?\nAnswer: 4*i*p - 3*i - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3)\/p**(-2\/3))\/(p**(1\/3)\/p**(-1)) assuming p is positive.\nAnswer: p**(-11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of -v**6\/120 - v**4\/24 + 7*v**3\/3 - 3*v**2. Suppose 0 = -3*y - y. Is 5 a factor of m(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of t**5\/5 + 12*t - 4. What is the first derivative of p(j) wrt j?\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x = 16*x - 26. Suppose -q + 1 + 1 = 0. Suppose -o - q*i + 16 = -5*i, i = -x. List the prime factors of o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12242 divided by 1.\nAnswer: 12242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -5*i - 2*o, 0 = 2*i - i + 3*o + 14 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 2 - 1 + 54*l.\nAnswer: 54*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + m**2 - 4. Give u(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 6*j = 2*j + 11, -2*k + 50 = j. Suppose 11*n = -28 + 182. Let y(z) = -k + 14 + n. Let u(t) = -3*t - 3. Calculate -u(o) - 3*y(o).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 5*j + 24. Let b(y) = y**2 - 9*y + 8. Let l be b(j). Sort 7, l, -6\/5 in decreasing order.\nAnswer: 7, l, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.84 in -2\/25, 46, -5, -40?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1 (b) -3 (c) 3\/17 (d) 0.7 (e) -4 (f) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 56\/5, -0.0222?\nAnswer: -0.0222","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 435.4 plus 15?\nAnswer: 450.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 466 (base 10) to base 11.\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1509 + 1508.8. Which is the second smallest value? (a) z (b) 0.04 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 (base 9) in base 5?\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 10*k**2 + 7*k - 20. Let o be a(-10). Let c = -85 - o. Calculate the lowest common multiple of c and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -9*u**2 + 34*u + 171. Let i(f) = f - 202. What is i(l(k))?\nAnswer: -9*k**2 + 34*k - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -16*z. Let q(i) be the second derivative of i + 0 + 0*i**3 + 0*i**4 + 2*i**2 + z*i**5 + 1\/10*i**6. Differentiate q(w) with respect to w.\nAnswer: 12*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-5*(3*sqrt(85) - sqrt(85)))\/(sqrt(5) + (sqrt(5) - -3*sqrt(720))).\nAnswer: -3 - 5*sqrt(17)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, -53, 3\/2, -4, 122, -12.5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a + 7. Let o be d(8). Let k be 2 + (o - 1) - -5. Suppose 2*w - z - 9 = 0, 6 = k*w + z + 1. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 823?\nAnswer: 9053","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1760 + 1765. Solve 0 = -5*r - 7*y + 3*y - 11, 2*r + w*y = -18 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(77)*1 + sqrt(77)*1*4)\/(-5*sqrt(567)*3).\nAnswer: -sqrt(11)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12586, -12588, -12590, -12592, -12594?\nAnswer: -12596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 4*l**3 - 10*l**2 + 11*l**2 + 2*l - 3*l. What is o(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**2 - 3*z**2 + 2*z**2 + (-2*z + 0 + 0)*(-2 + 2 + 2*z) + 18*z**2 - 2*z**2 - 6*z**2 + (-5*z + 2*z + z)*(-z + 0*z + 0*z) + z**2 - z**2 - z**2.\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 31, 20, -1, -38, -97, -184?\n\"Answer: -l**3 + l**2 - 7*l + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100467 (base 8) to base 2.\nAnswer: -1000000100110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37237?\nAnswer: 23, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4.8*-222239\nAnswer: -1066747.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 PM and 9:30 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of l**5\/20 - l**4\/4 - 8*l**3\/3 - 81*l**2\/2 - l - 9129. What is u(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.05, -10, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of -1\/12*c**4 + 0*c + 0 + c**2 + 0*c**3. Let h(t) be the third derivative of t**5\/60 - 283*t**2. Determine h(w(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 17 - 1 = 4*t, v = -5*t + 20. Solve 6*c - c = -4*u + 17, 0 = u + t*c - 18 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/7, 0.03, 0.5, 5, 145, 153?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-79137)\/288)\/((-6)\/(-8))*-8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m**3 - 88*m**2 - 9227*m + 268620. Determine j(29).\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 93*w + 3643. Determine g(-57).\nAnswer: -1658","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -169 plus 4?\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/11 + 1207798*f\/11 + 109800.\nAnswer: -2*(f - 603900)*(f + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1087044.3 - 39773?\nAnswer: -1126817.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.5 + 3. Let k = 0.5 + t. Let y be 1\/(-2)*6 + -2. Which is the nearest to 0.1? (a) k (b) y (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k - 16. Let u(p) = -6*p + 31. Let h(b) = 3*u(b) + 5*x(b). Let i be h(-11). Suppose 0*j + i = 2*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of y**6\/120 + y**5\/15 - y**4\/4 - 5*y**3\/6 + 4*y**2. Let b be n(-5). Which is smaller: b or 3\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/5? (a) -124 (b) -1.5 (c) 0.3 (d) 52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -4*h**3 - 91*h**2 + 310*h + 7836. Give j(-22).\nAnswer: -436","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2245675?\nAnswer: 5, 43, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 85.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1032, 2052, 3072?\n\"Answer: 1020*c + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1463, 2928, 4403, 5894, 7407, 8948, 10523, 12138?\n\"Answer: l**3 - l**2 + 1461*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 180 - 86 - ((-10 - -17 - 6) + 2 + -11)\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -581480.89 rounded to the nearest 1000?\nAnswer: -581000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000482566 rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.4, -2.1, -841.\nAnswer: -841, -2.1, -0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 6*w**2 - 27*w. Let h(p) be the second derivative of -p**3\/6 - 2*p. Let a(c) = -2*g(c) + 54*h(c). Let d(x) = -2*x**2. Determine d(a(q)).\nAnswer: -288*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u + 16*u**2 + 5*u - 4*u**2.\nAnswer: 12*u**2 + 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.02 + -0.48. Let j = 30 + -97. Let s = j + 68.6. Which is the second biggest value? (a) o (b) 0.4 (c) -3 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 1:26 AM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3*s - 13. Let r(l) = -l**3 + 4*l**2 + 5*l + 6. Let p be r(5). Let d be o(p). Which is bigger: 4 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 144*v**5 + 334*v**2 - 334*v**2 + (-3 + 2 + 2)*(-3*v**4 + 3*v**5 + 3*v**4).\nAnswer: 147*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - t - 106 = 0, -2*k + 30 = 3*t - 26. Calculate the greatest common divisor of 22 and k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -37, -0.5, -132815, -0.3?\nAnswer: -132815","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (36\/15)\/((-4)\/(-40)). Suppose -l - l + h = -4*u, 0 = 3*l - u - 11. Suppose -w + 22 = -0*w - 5*s, l*w = 3*s + 16. Is w less than or equal to 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -910*o**4 + 3*o**3 + 8*o**2 + 4168391 with respect to o.\nAnswer: -3640*o**3 + 9*o**2 + 16*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17935 + 17379.84. Let a = 532 + b. Round a to 0 dps.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuouoouooufuou. What is prob of picking 1 u, 1 f, and 1 o?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g. Let y be s(-2). Let k = 0.1214 - 0.2414. What is the closest to 0 in y, k, -1\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 8784 = 11*l. Suppose 3*v - l = 147. Suppose v = -0*w + 3*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51674306?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.926 - 2.95. Let o = z + 0.024. Which is greater: 12 or o?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-44)\/105 - 24\/(-84). Let l = b - -23\/60. Suppose -l*t + 0 - 1\/4*t**2 = 0. What is t?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 711109381 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45080 and 230?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/3 + 32\/(-6). Let h(p) = -p**3 - 5*p**2 + 5*p. Let k be h(n). What is the third derivative of 2*j**2 + 0*j**2 + 2*j**6 + 0*j**k wrt j?\nAnswer: 240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 PM and 1:23 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 268 = -776. Let t = l + 373. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 232?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.113 - -0.187. Let w = -259\/3 - -87. What is the closest to w in 1\/3, d, -0.1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r**2 - 7272*r + 73120 = 0. Calculate r.\nAnswer: -1828, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 - 5*p + 5. Let f(m) = -4*m + 6. Give 3*f(v) - 2*z(v).\nAnswer: 2*v**2 - 2*v + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away 1283.799?\nAnswer: -1280.799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 + -11. Suppose -4*v = g - 15, -2*v - c*g = -5*g - 20. What is the highest common factor of v and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 8:37 AM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 2 + 4 + 13*f - 3 to s*f + w and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-24)\/((-2)\/(8\/6)). Let h(r) = -1 + 7 - 2*r + 1. Let y(o) = -6*o + 22. Give v*h(k) - 5*y(k).\nAnswer: -2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3330 - 999 = -39*u. Calculate the remainder when 185 is divided by u.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 790\/9 or 87?\nAnswer: 790\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**2 + 0*c**2 + 3*c**4)*(-3*c + c + 3*c) + (-705*c**3 - 6*c + 335*c**3 + 8*c)*(-c**2 - 2*c**2 + 4*c**2).\nAnswer: -367*c**5 + 2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9850.322ms to nanoseconds.\nAnswer: 9850322000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + y - 3. Let b(t) = 274*t**2 + 822*t - 2466. Give -5*b(w) + 4110*j(w).\nAnswer: 2740*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -1\/20*x**5 - 25\/12*x**4 - 13*x - 1\/6*x**3 + 0 - x**2. What are the prime factors of b(-25)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -2. Let r be z*4\/(-6)*6. Let p = r - 1. Solve 5*v - p*v = -8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*w - w + 16*w**2 - 14*w**2)*(3*w - 3*w - w).\nAnswer: -2*w**3 + 28*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.048295 and -2.\nAnswer: -2.09659","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of -1\/10*x**6 + 1 + 0*x**4 - 112\/3*x**3 + 1\/5*x**5 + 0*x**2 - 128*x. What is the second derivative of a(z) wrt z?\nAnswer: -36*z**2 + 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 18. Let q be (-16)\/36*72\/16. Sort -1, q, u in descending order.\nAnswer: u, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 159*z**2 + 23*z + 10?\nAnswer: 318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5209 + -5203. Which is smaller: -139 or p?\nAnswer: -139","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-24)\/(-3)*(-2)\/(-4). Let l be 288\/80 + (-3)\/5. Factor -12*c - m*c - 8*c**2 - 4*c**l - 12*c**2 + 4*c**2.\nAnswer: -4*c*(c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**2 - 9*q + 6. Let a be m(5). Let f(x) = -x**3 + 10*x**2 - 5*x + 7. Let d be f(6). What is the highest common divisor of d and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 1\/13 (c) -60\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 446\/6 + (-1)\/3. Let b be 2300\/55 - (-6)\/33. Let d = l - b. 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 highest common divisor of 104 and 1652274?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 9) to base 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -31379, -62752, -94115, -125462, -156787, -188084?\n\"Answer: x**3 - x**2 - 31377*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, y: 8}. Give prob of sequence yn.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 9. Let j = 5\/2 + g. What is the nearest to j in -1, -1\/2, -0.4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 527\/(-93) - (-1)\/(-3). Calculate the smallest common multiple of -2*99\/y + -1 and 20.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 152*o**5 + 30*o - 82*o**5 - 140*o**5 wrt o?\nAnswer: -1400*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19847 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 177.99817 + -178. What is f rounded to four dps?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -62 + -1 - (-665 - -634 - (-28 + -1)).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 45.11959 centuries?\nAnswer: 54143.508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 AM and 5:13 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5199602?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 8 + 8 + 26 - 12 + 12 - x. Calculate the least common multiple of 54 and r(0).\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22.98 + -22. Let k = 0.68 - w. Which is the closest to 1\/3? (a) k (b) -0.5 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n - 4*n + 6*n + (-1 + 0 - 3)*(-14*n + 17*n + 11*n) to the form x + y*n and give y.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j**0\/j)\/j)**(-2))**(3\/5))**(-8) assuming j is positive.\nAnswer: j**(-96\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c + 5. Let u be d(-7). What is the highest common factor of 3 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 14 = 2*j, 3*j = -2*a - 4 + 5. Solve 0 = -j*n - c - 1, 2*c + 12 = 5*n - 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 4) to base 5.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 119821 or 359462\/3?\nAnswer: 359462\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -3 (b) -69\/5 (c) 1 (d) -76 (e) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 326525*o**2 - 247066 wrt o.\nAnswer: 653050*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence za when two letters picked without replacement from azazznaaaazzn?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 - (-301)\/105 - (-1033)\/(-15). Let k = 84 + r. Let b be (k\/(-4))\/(12\/5216). What is b rounded to the nearest one hundred?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -401 and 1.3.\nAnswer: -399.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1349.\nAnswer: 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 487 + -462. Let z = 54 + -49. Sort 0, z, f, 1.\nAnswer: 0, 1, z, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(45) + 5 - sqrt(45))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 2 + -1 + -6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 5:08 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1)*(3*b**3 - 3*b**3 + b**3) - 5*b**2 - 5*b**3 + 5*b**2 - 13*b**3 - 21*b + 21*b + 5*b**3 + 6 - 6 + (b + 2*b**2 - b)*(3*b + 3*b - 7*b).\nAnswer: -17*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2248*s - 20581 = 148019 for s.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*r + 22*r - 4 - 77*r + 29*r in the form t*r + h and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9624 and 200268.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10093776 is divided by 1139.\nAnswer: 1097","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 126 + -123. Factor 42 - 42 + 2*h**2 - 5*h**4 + k*h**4.\nAnswer: -2*h**2*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 77*r - 2*r**2 - 2 + 1 + 4 - 2 + 0 to the form b*r + h + k*r**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccccccscs. Give prob of sequence css.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 143287554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2678.\nAnswer: 2, 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8397 and 622?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 136 in 2\/9, -2, 8\/5, 0.2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a + -13?\nAnswer: -1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 70*m**3*n + 26*m**3*t**2 + m**2*n*t**2 - 13*n*t - 44*t**2 wrt n.\nAnswer: 70*m**3 + m**2*t**2 - 13*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i + 12442*i**3 + 7*i - 3*i + 12447*i**3 - 24880*i**3.\nAnswer: 9*i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 253 = 4*h, 2*h - g = 3*h - 72. Let o = 75 - h. Solve -2*f = -2*y + o + 6, 2*y - 5*f = 29 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from ddlkkqlkkd?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 1. Suppose -5*r + 2 + 23 = 0. Suppose 2*l = 4*l + 4*f + 10, 40 = 3*l - r*f. Calculate the remainder when l is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 27 (c) -1 (d) -5 (e) -130\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttmtshh. Give prob of sequence mt.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.01, -50, 0.11, 1.5?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.6 from -372903.\nAnswer: -372904.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and 173 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 127.95, -32?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fifty-four fifths of a kilogram?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 577*o**3 - 252*o**3 - 2 - 300*o**3.\nAnswer: 25*o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 14987691 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: Round -42.04657 to 2 dps.\nAnswer: -42.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 189432891?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 8*g + 4. Let y = g - -3. Suppose 147 = u + y*u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, j: 4}. Give prob of sequence fjjj.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of -221\/2*k**2 + 0 + 40*k**3 + 261*k. Find the first derivative of u(i) wrt i.\nAnswer: 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 851 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1647 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: b\"What is the jth term of -212836, -212844, -212854, -212866, -212880, -212896, -212914?\n\"Answer: -j**2 - 5*j - 212830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 2*h + 5*f, -11*f + 6*f - 11 = 3*h. Solve 15 = -h*x - 0*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 463, 622, 781, 940?\nAnswer: 1099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*g - 7. Suppose -3*m + 8 = -10. Calculate the highest common factor of m and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31172 to the power of 1\/2, to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -531 - -529.6. Let y = -4 + 6. Which is the third biggest value? (a) z (b) 4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of -341*y**3\/6 - 283*y**2\/2 - 212*y. Differentiate k(c) wrt c.\nAnswer: -341","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/(-28) + -2)*(-3 - 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 177*o**2 - 60*o + 375. Is p(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1125342329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7621 + 365795\/48. What is the common denominator of u and 67\/78?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 125738?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*c**3 - 172\/3 + 88\/3*c**2 - 82\/3*c.\nAnswer: -2*(c - 43)*(c - 2)*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/3))**(-1\/32)\/(((k\/((k*(k**(-1)\/k*k)\/k*k)\/k)*k)\/k)\/k)**(-29))\/((k**(2\/5))**(-26)\/(k*k**0\/k*k**(-1\/5)\/k)) assuming k is positive.\nAnswer: k**(9163\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n - 2. Let f(w) = -4*w - 5. Let v(a) = -6*f(a) + 13*u(a). List the prime factors of v(-5).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(2 - (-2)\/(-2)) + 30. Let p be (-6)\/(-8) - b\/(-24). Solve -2 + 12 = 2*d - p*w, -4*w + 15 = 3*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33 - -32.9. Put c, -4, 0.2, -0.2 in ascending order.\nAnswer: -4, -0.2, c, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 5*s + 24, 0*s + 5*s - 30 = -5*g. Let t = g + -3. Sort t, -2, -5 in increasing order.\nAnswer: -5, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 8 = 3*v, v + 0 = -4. Suppose -k*h = 3*a - a - 16, -h = -3*a + 3. Suppose -29 = -h*p + 13. Calculate the greatest common factor of p and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 47136 and 34370.\nAnswer: 1649760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4938644 is divided by 987727.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 5, 0 in ascending order.\nAnswer: -2, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - f. Let s be q(-1). Let g(p) = 4555 + 5*p - 6*p - p**2 - 4543. Give g(s).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10\/773 + -79799\/13914. Calculate the common denominator of r and ((-101)\/5)\/((-18)\/(-15)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n - b + 3*b - 3, 4 = -4*n + 2*b for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 167 or 53841\/320?\nAnswer: 167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 15 = -0*z. Let x = 41 - z. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, 0, 1, 5 in increasing order.\nAnswer: -30, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-20)\/4 + 3 - -6. Let m(x) = -x**2 + 4. What is m(o)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of -1\/12*i**4 + 0*i**2 + 0 - 8*i - 1\/2*i**5 + 0*i**3. Find the third derivative of k(g) wrt g.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/2*1 - -2. Suppose -3*i = 2*s + 9, -2*i + i - 14 = -d*s. Solve z + 11 = -s*u + 2, 5*u = -3*z - 19 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-124)\/24)\/((-5)\/225). Let x = f - 232. Suppose 0*z - 1\/2 + x*z**2 = 0. Calculate z.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -267, -1059, -2373, -4203, -6543, -9387, -12729?\n\"Answer: u**3 - 267*u**2 + 2*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.7725l in millilitres?\nAnswer: 26772.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -227 (base 15) to base 7.\nAnswer: -1264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 806 is divided by 97.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 4*u**2\/7 + 2104*u\/7 + 46276\/7 = 0?\nAnswer: -503, -23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.98 + -0.98. Which is the second biggest value? (a) 0.5 (b) -5 (c) x (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -5, 1, 4 in descending order.\nAnswer: 4, 1, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 451 (b) 57\/4 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {c: 3, p: 1, e: 1, v: 1, s: 2, h: 4}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 92 = 20. Let f(k) = k**3 + 24*k**2 + 26*k + 34. Let a be f(-23). Let c = a - -85. What is the remainder when c is divided by q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32 - 27 - 3*i + i)*(81 + 478 - 2739)*(1 + 2 - 2).\nAnswer: 4360*i - 10900","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30340?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (28\/112)\/((5 - (-126)\/(-24))\/43)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183423 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 8:13 PM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*d + 29 - 29 in the form b*d + j and give b.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 31*u**2 - 57*u + 41. Suppose 5*g + 2 = m, m + m - 3*g = 32. Calculate the smallest common multiple of q(-29) and m.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eee when three letters picked without replacement from {e: 5, x: 8}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -135604.\nAnswer: 27120.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g + 18. Let p be 21\/(-1) + 6\/2. Let v be s(p). Is 8 + 409 - v\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 + 5 - (-10)\/(-2). Let p(b) = 7*b**3 + 3*b**2 + 8*b + 7. Let m(l) = -11*l**3 - 4*l**2 - 12*l - 11. Let w(z) = -5*m(z) - 8*p(z). Does 12 divide w(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - 2*b + 0*b)*(11*b**2 - 5*b**2 - 7*b - 7*b**2).\nAnswer: b**3 + 7*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 53\/4 of a litre?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2797267331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 12, -0.038, -130, -0.5, 38 in increasing order.\nAnswer: -130, -0.5, -0.038, 5, 12, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.385562565+-3100.32\nAnswer: -3099.934437435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -20, 86 in decreasing order.\nAnswer: 86, 0, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-3\/5))\/(c*c*c**(5\/6)*c))**(-19)\/((c\/c**(-1\/6))\/c**(-1\/5)*(c**1)**(1\/8)) assuming c is positive.\nAnswer: c**(4913\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84663 is divided by 3387?\nAnswer: 3375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -314*z + 314*z = 13*r + 78, z - r - 7 = r for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c**3 + 40740*c**2 - 20371*c**2 - 20369*c**2 - 55*c**3.\nAnswer: -60*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 0. Suppose u - 23 + 1 = r. Is 7 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*(4 - 1) + 52. Suppose -54*m = -j*m - 125. Calculate the remainder when (-48)\/(2*(-1)\/2) is divided by m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 8:24 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -23*f**2 + 176*f + 21. Calculate x(7).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2 = 3*s - 2*s, -s = -3*l - 1. Suppose 53 = 7*g + s. Factor -g*x - 9*x + 19*x**2 + 20*x**2 - 35*x**2.\nAnswer: 4*x*(x - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49, 47, 45, 43, 41, 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 439849\/2 - 219923. Factor 104*a - 13\/2*a**3 + n*a**4 - 32 - 22*a**2.\nAnswer: (a - 4)**2*(a + 4)*(3*a - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 299*n**2 + 558*n + 567. Calculate g(-1).\nAnswer: 308","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 e when four letters picked without replacement from xgnxgxxxexgxnxxgnx?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 97543889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19576*p - 19574*p + 13 = 3*m, -5*m = -5*p - 35 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (120\/(-1056))\/((-2)\/88)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -4*u**2 - u + 1. Let l be v(-4). Let i = l - -114. Let j = i - 31. Is 7 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (21 - (10 + 8 + -12))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 13 = -k, -2*a - 3*a - 2*k = 0. Let l be 0\/(a\/(-2) + -3). Let i(s) = -s + 3. Give i(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 77*r**4 - 26*r**3 + 3*r**2 + 72*r - 28398236.\nAnswer: 308*r**3 - 78*r**2 + 6*r + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 AM and 12:47 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 11:21 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -5. Let n(x) = o - 8 + 2*x - 3*x. What are the prime factors of n(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**5\/v**(-3\/4)*(v\/v**(-3\/5))\/v**(3\/4) assuming v is positive.\nAnswer: v**(33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 12:41 PM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 29*y + 116. Let p be w(-4). Which is the nearest to 3? (a) -4 (b) p (c) 4 (d) 0.24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - 50*g**2 - 969*g + 115. Let s be i(-15). Suppose -5*m + 33 + 107 = 5*k, -5*m + 90 = 3*k. Calculate the greatest common factor of k and s.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 72, 0.3, 0, 3, -59?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -317\/277 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*s + 347*s = -1133854. Is s != -3613?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*b + 36 + 228. Calculate the lowest common multiple of 4 and b.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -228, -454, -680, -906, -1132?\nAnswer: -1358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 8\/865?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = g, 2*g + 8 = z - 2. Suppose h = -5*s + 633, -4*s + z*h + 321 = -177. Round s to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6018, 48513, 163958, 388839, 759642, 1312853, 2084958, 3112443?\nAnswer: 4431794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 + 9*x - 20. Let y be h(-11). Suppose -4*a + 984 = 4*d, -4*d = -y*a - 9*d + 504. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of -2*m**4\/3 - m**3\/2 - m**2 - 198*m. Give b(-3).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to -3\/43969117?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - 1318?\nAnswer: -1318.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -1\/4 (c) 7\/18 (d) 0.3 (e) 0.1 (f) 35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2577 + -2581. What is the nearest to 3 in b, 0.3, 0.1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 708324*y - 708320*y = 3*k - 9, 0 = -k - y + 10 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1193.6 rounded to the nearest 10?\nAnswer: -1190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -12034*s - 48186. Determine t(-4).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of 7*y**4\/4 - 40*y**3\/3 - 6*y**2 - 35. What is u in j(u) = 0?\nAnswer: -2\/7, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12 - 52 - 21)*(-x + 0*x + 2*x) + 8*x - 13 + 13 as t*x + u and give t.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 2)*(3 - 2*c - 3 + 3*c + c - 2*c + (-c + 2*c - 3*c)*(0 + 3 - 1) + 14*c - 39*c - 2*c)*(3 - 3 - 2 + 12*c**3).\nAnswer: 744*c**4 - 124*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5514714 months in decades?\nAnswer: 0.004595595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 - 0.1. Suppose -4*v - 365 + 89 = 0. Let f = 70 + v. Which is the closest to m? (a) f (b) 1\/7 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*9520\nAnswer: -19040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2, 1, 2, 5, 10, 17, 26?\n\"Answer: u**2 - 4*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -968425 divided by 38737?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.3064 micrometers in centimeters?\nAnswer: 0.00033064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 13797*d**2 + 31*d + 25. Is b(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 75768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6*2\/(-4) - 140\/45 and -32\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 4*d**2 - 31*d + 55. Suppose 2*q = v - 7, 3*q + v = 4*v - 12. What is the remainder when (q\/9)\/((-2)\/150) is divided by h(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 17108*d**3 + 34284*d**3 - 17150*d**3 + 7.\nAnswer: 26*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-54)\/(-15))\/((-16)\/(-20)). What is the third biggest value in -0.2, c, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40591 + -40591.00000014213. What is z rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 148*i + 43 - 27 - 17 to the form q*i + h and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, -35, -5, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 21 = -2*f - 5, q = -f - 1. Let r = 0 + q. Suppose 0 = r*b + 16 - 40. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -34, 2, 74, 194, 374, 626?\nAnswer: 962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 65 = -4*l, -160*l + 164*l + 5*p + 55 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 21102.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16017655?\nAnswer: 5, 17, 188443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of -2858*f**4\/3 + 6028*f**2 - 48*f + 4. What is the first derivative of z(v) wrt v?\nAnswer: -22864*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/72 and 9\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1420 = 52*c + 232*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1099 - 3?\nAnswer: 1096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 0. Suppose -3*l = 2*b - 12, -3*b + t + 0 = -4*l. Solve x = -l*x - 12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 + 10*n + 14. Let l be w(11). Solve 10 = -l*r + 25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12066 or 60336\/5?\nAnswer: 60336\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1657\/(-2) + 2)*2*18\/(-27). What is the highest common factor of 232 and r?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/(6650\/375)*2\/(-5)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 25\/(-27))*15\/75*-15\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/4*-4 + 5\/3. What is the nearest to 1 in -5, h, 0.017, -10?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 781342.\nAnswer: 1\/781342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2131237383.\nAnswer: 3, 11, 31, 2083321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33)\/((-3663)\/(-74))*-1*6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -150 (base 8) to base 9\nAnswer: -125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44659?\nAnswer: 17, 37, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 2154 = 78. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g. Let t be l(-3). Suppose -11 = 2*d - t*b, -3*b + 8 + 7 = 0. Suppose 4*k = -d*s - 0*k + 18, -5*k = -3*s - 6. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14035)\/(-1203)*3\/(-10)*(-4)\/203?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-3*(-3*sqrt(1900) + -3 + -2))**2)*-1*-6*-3.\nAnswer: -2774196 - 48600*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3319304 - 4?\nAnswer: -3319308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 - -0.2. Let z be (-162)\/729 - (-10)\/18. Which is the closest to z? (a) -0.2 (b) s (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2*i + 24 = 0. Let r be i\/(-2)*(-2)\/(-3). Let m(x) be the third derivative of -x**4\/24 - x**3\/6 + 6*x**2. Give m(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 4, -4, -2\/7, -2\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -66*r**3 - 152*r**2 + 25*r + 29. Let g(l) = 17*l**3 + 34*l**2 - 6*l - 7. Let m(d) = 9*g(d) + 2*v(d). What is m(-2)?\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4, 220, 14, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 723, 1444, 2165, 2886, 3607, 4328?\n\"Answer: 721*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/((-2)\/(-1)) - (-34 + 33). Solve -2*g - p = -3*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 51\/15 + (-4)\/10. Suppose -n*f + f - 15 = -5*i, i + f = 3. Suppose -40 = -4*a - 2*j - 2*j, -i*a + 2*j + 5 = 0. Put 1, -4, a in decreasing order.\nAnswer: a, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.005969 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 21b + -64?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 7:24 AM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 501629229?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*m + 8 = -35*m. Suppose 36 = 2*s - 4*o, 0 = -10*s + 5*s + m*o + 50. What is the highest common divisor of 36 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -8*o**3 - 18*o**2 + 7*o - 12. Let l(x) = -3*x**3 - 6*x**2 + 2*x - 4. Let k(n) = 11*l(n) - 4*z(n). What is the lowest common multiple of k(4) and 14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 222*b + 4462. Give a(-20).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence renw when four letters picked without replacement from {r: 1, e: 1, w: 1, k: 2, n: 1, p: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -328106 (base 10) in base 5?\nAnswer: -40444411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15368640 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 e when three letters picked without replacement from nonneeoeieei?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 - 4) + 34 + (-108 + -11 - -12)?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -40, 2*x + 1074*h - 1069*h = 43240. Does 8 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 325472?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + h**2 - 2*h + 46. Suppose 2 = 5*q + j, 3*q + 2*j + j - 6 = 0. What are the prime factors of x(q)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven fifteenths of a millennium?\nAnswer: 5600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14018 is divided by 136.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 + 3*k + 3. Let t(w) = -w + 29. Let i be t(31). Let q be (-6)\/(-12)*i*0. Let c be 2\/2 - (q - -3 - -2). Determine y(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -0.4934108?\nAnswer: -2.467054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 196747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 less than -0.042?\nAnswer: 55.958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/313, 2\/27, 57, -1\/3 in decreasing order.\nAnswer: 57, 2\/27, 2\/313, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 49*h + 75*h - 77*h - 5734 for h.\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/8 of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (134 - 143) + 0 + (2 - -24)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v**3\/2 - 681*v**2\/2 - 19152*v + 19494 = 0. Calculate v.\nAnswer: -114, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 + 6*r - 3. Suppose 9 = 2*l + 3. Suppose -5*y + l*s = -2*s - 5, 0 = y - 5*s + 15. Calculate b(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, o: 1, e: 4, u: 3}. Give prob of picking 1 u and 1 x.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1660*k**2 - 1660*k**2 - k**3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -r**2\/2 - 3*r - 25. Let b(h) = -10*h - 3. Calculate the remainder when b(-3) is divided by d(-13).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*g - 3*f - f, 5 = 5*g - f. Let d be ((-12)\/(-9))\/((-4)\/(-9)). Let y be (-135)\/(-12) + d\/4. Solve g*z = 2*a - 2*z - 18, -2*z = 4*a - y for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 34 = -2*x. Let a = -18 + x. Let h(k) = 6*k - 2. Let z(w) = -9*w + 7. Let q(f) = 4*f - 3. Let r(d) = -7*q(d) - 3*z(d). Determine a*h(n) - 4*r(n).\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -10. Let d(l) be the third derivative of l**6\/120 - l**5\/12 - 3*l**4\/8 + 3*l**3\/2 - 2*l**2 - 74*l - 3. What is d(z)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1042*y**2 - 631*y**2 - 620*y**2.\nAnswer: -209*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46283 is divided by 11560.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2038.\nAnswer: 2, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5915 a multiple of 169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 286\/(-55) - (-3 + (-38)\/(-10))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1636203?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5.64 < -1612?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*j + 2*j + j)*(-2*j - 2 + 2) + 20*j**2 + 25*j**2 - 52*j**2)*((-4*j**3 + 2*j**3 + 4*j**3)*(0 + 9 + 12) + (-3*j**2 + j**2 - 2*j**2)*(-2*j + 3 - 3)).\nAnswer: -450*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9504 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**4\/6 + 35723*x**3\/3 - 637994914*x**2\/3 - 2552444075*x\/3 - 1276275625\/2 = 0 for x.\nAnswer: -3, -1, 35725","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44863500 and 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 33 - (109 + -60) - -7\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -16524013?\nAnswer: -16524014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -140.15188.\nAnswer: -560.60752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -418, 2, 5, -2, 218.\nAnswer: -418, -2, 2, 5, 218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iwiiiiiw. Give prob of sequence wiii.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**2. Let i(y) be the second derivative of 4805*y**3\/6 - 1606*y - 1. Determine h(i(x)).\nAnswer: 46176050*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 4851.97 to the nearest one hundred.\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 6*t + 6. Let g be k(-3). List the prime factors of 14\/((g\/15)\/(-2)).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 403674221 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -12399111, -24798218, -37197325, -49596432?\n\"Answer: -12399107*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16.3602 + 2.1202. What is the nearest to c in -0.4, 0.06, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2.9, -5, -1\/4, 6, -0.3, -10415?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6579151268.1 and 5573.\nAnswer: -6579145695.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -841*k + 874. What are the prime factors of j(-8)?\nAnswer: 2, 3, 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 495 and 496 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = n + 4*k, -32 = 2*n + 2*n - 5*k. Let a(g) = -603*g - 8. Is a(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10*54\/(-14)*686\/(-588)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73 + 28 + 72 + 0.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l + 8*l - 3*l + l.\nAnswer: 7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7 - 25?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000008845537 rounded to 7 decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.989 + 0.011. Let v = 0.5 + -8. Let y = v - -7. Which is the nearest to 1\/3? (a) g (b) -1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 940551 a multiple of 306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 28\/(-6)*9\/(-2). Let w be ((-24)\/9)\/((-2)\/d). Suppose -4*l + 10 = 3*m - 10, 4*m + 5*l = w. Solve -2*p - m = 2*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39914669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1 + sqrt(128)*1 - sqrt(128)) + (sqrt(242)*-3*-2 + -1)**2.\nAnswer: -132*sqrt(2) + 8719","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1152716?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + (396\/(-39) - (-23)\/((-5083)\/(-34))).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oxs when three letters picked without replacement from ssoossx.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 84a0 - 2?\nAnswer: 849a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8359.\nAnswer: 13, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((31\/(-1))\/(-62))\/(1\/(-42))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 647387670?\nAnswer: 2, 3, 5, 23, 938243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3889 + 3901. Let i(b) = b - 5. Suppose 2*s + 2*s = 8. Let z(q) = 7 - 19 + q + s*q. What is x*i(d) - 5*z(d)?\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/36)\/(282\/752).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 4 + 39*z + 5 in the form b + f*z and give f.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 31*m + 34. Let z(q) = 11*q + 12. Let o(c) = -6*y(c) + 17*z(c). Let i(l) = -4*l + 2. What is i(o(a))?\nAnswer: -4*a + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**4 - 18*p**2 - 4*p - 4. Let l(f) = f**4 + f**2 - f - 1. Let o(s) = c(s) - 4*l(s). Find the third derivative of o(h) wrt h.\nAnswer: -120*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of -7*x**5\/20 - x**3 + 5*x. Find the second derivative of i(g) wrt g.\nAnswer: -42*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4637.\nAnswer: 4637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 5*f + 322, -126*q + 131*q + 5*f - 430 = 0. What is the remainder when 1140 is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 900\/17 + -23453\/408. Let f = -10175921\/117 + 86973. What is the common denominator of f and w?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 433 - 431. Suppose -y*v + 82 - 104 = 0. Which is the biggest value? (a) 1\/4 (b) v (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - 1. Let o(p) = -p**3 - 28*p**2 + 29*p + 5. Let k be o(-29). Let h = k + r. Solve 8 = h*d - 2*u, -2*d + 2*u + 6 = u for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m**2 + 33*m - 8 + 3*m**2 - 29*m. Let r be v(-6). Suppose -5*l = -a + 13 + 11, 2*a = -l + r. Solve -a*p - 6 = -2, 5*x + 25 = -5*p for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48) + 5 + sqrt(3) + sqrt(9)\/sqrt(3) + 4 + -1 + (5 + sqrt(3))*1 + 5 + -3)**2.\nAnswer: 210*sqrt(3) + 372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -11. Suppose 0 = 3*f - p - 13, f + d*f - 24 = 4*p. Let n(i) = 2 - f*i**2 - 5*i + 0*i**2 + 3*i**2. What is n(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u + 3. Let l be b(-3). Let n = -39 - -112. Let g = n + l. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 202 + -192. Solve 2*y = z + r, -2*y = -3*z - 5*y - 3 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.8680002 millilitres?\nAnswer: 0.0008680002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(891) - 1*sqrt(891)*-4) + sqrt(891) + 2 + (1*sqrt(891) - sqrt(891) - sqrt(891)) + sqrt(891) - (-2 + sqrt(539)*-2 + 1*sqrt(539)*4)))**2.\nAnswer: 5120*sqrt(11) + 281856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-54)\/(-24) + ((-9)\/(-12))\/(-3). Let m(f) = -3*f + 8. Let u be m(t). Suppose -13 = u*j - 51. Is 15 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t**5 - 104*t**4 - 128*t**3 + 552*t**2 - 324*t = 0 for t.\nAnswer: -3, 0, 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of -19\/6*a**4 - 5*a - 9*a**3 + 0*a**2 - 4. What is the second derivative of p(f) wrt f?\nAnswer: -76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in -4\/13, 0.4, 0.5?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c\/c**8*c)*c**(-8\/7))\/((c**8*c)\/c**(-3)))**33 assuming c is positive.\nAnswer: c**(-1188\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 14100 rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -4*j - 5*h, -5*h = -17089*j + 17085*j + 21 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -2 (b) -60 (c) 2.44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a = 4 - 52. Let w(f) = 97*f + 52. Does 10 divide w(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 652 is divided by 80?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -2*c**4\/7 - 70*c**3 - 7290*c**2\/7 + 8770*c\/7 + 15572\/7 = 0.\nAnswer: -229, -17, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 3 - 2. Suppose o + 5 = 3*j. Suppose j*g + i - 4 = -4*i, 5*g + 4*i = 10. Solve -3*q - g = -q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 947438?\nAnswer: 2, 473719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**2 - 26*m. Suppose -o + 5*s + 11 = -17, -2*o = -s - 29. Let i be d(o). What is the nearest to i in -0.4, 0, 0.05?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 3*c**2 + c - 11. Let z(h) = -2*h**2 + 6. Let g(j) = -3*s(j) - 5*z(j). Let m be g(2). Find the first derivative of -m - 4*w + 0*w + 2*w wrt w.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 6*s = -7*s + 9, 5*s - 5 = 5*w. Let k(d) = 16*d**2 + 10*d - 10. What is the hundreds digit of k(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13720.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a decade in years?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a + 7*a - 9*a + a - 15241.\nAnswer: -2*a - 15241","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 614808 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -17200 divided by -5?\nAnswer: 3440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3720714, -2\/3, 4, 0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*v - 12 = -5*v - 63 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t**(1\/6)*t)\/t))\/t*(t*t**(-16))\/t)\/(t\/(t**(-1\/4)*t))**(-41) assuming t is positive.\nAnswer: t**(-71\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 70.12935l?\nAnswer: 70129.35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = -2*t - 2, -3*d - 12 = 3*t - 21 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25728?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3535*i + 3535*i + 13*i**2 + 28.\nAnswer: 13*i**2 + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 925, 989, 1053, 1117?\nAnswer: 1181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 184286*(-7)\/(-1) + -2. Round a to the nearest one hundred thousand.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 3 - 11 = 0. Let w be (38 - (-2 - -2)) + i. Suppose -21*y = -4*y - 170. What is the highest common divisor of y and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18283?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 891 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*x - 17 + 72 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, -40, 11.\nAnswer: -40, 2\/15, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j**2 + 36*j. Let n(g) = -g + 106121. Calculate n(d(l)).\nAnswer: 2*l**2 - 36*l + 106121","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/5)\/(14\/(-35)). Let m = t + 6. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of -h**8\/1680 + h**7\/63 + 7*h**4\/12 - 3*h**2\/2 - 51*h. Let w(q) be the third derivative of o(q). Let w(r) = 0. Calculate r.\nAnswer: 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 6*-3*(sqrt(320) + sqrt(320) + 2))**2.\nAnswer: 18432*sqrt(5) + 415744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 119.48 times 5198\nAnswer: 621057.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -48 + -21?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5\/6, -19, -12, 0.5, -0.5, -21?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 89535 times 2\nAnswer: 179070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - 2015?\nAnswer: -2013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*k - 4*k - 216. Is 19 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from nnpppnppnpppnppnunn.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67841.503*0.1.\nAnswer: 6784.1503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32422\/(-203))\/43*168\/16?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28983770?\nAnswer: 2, 5, 157, 18461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8294)\/1144*2*-2.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*d - 11*d**3 + 107*d - 322*d + 104*d.\nAnswer: -11*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/5)\/(-3*(-2)\/(-90)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 5*s**5 - 585*s**4 - 590*s**3 = 0.\nAnswer: -1, 0, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2. Let z be (-112)\/(-6) + 1\/18*6. Let g(h) = 5*h + 10*h - z*h. Give a(g(b)).\nAnswer: 16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4662154859 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -3, -0.289 in descending order.\nAnswer: 0.4, -0.289, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 (base 9) in base 11?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of -5*q**4\/24 + q**2. Let n(a) be the second derivative of a**3\/6 - 261*a. What is b(s) + 3*n(s)?\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 88009872 and 16772.\nAnswer: 2396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00040247275 rounded to seven dps?\nAnswer: -0.0004025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/1018 and 127\/656724.\nAnswer: 334272516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -3*h**2 - 2*h + 5. Let f(r) = r**2 - 2. What is 4*f(t) + w(t)?\nAnswer: t**2 - 2*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 4*b - 3230, 4*r + 78*b = 75*b + 6475. Is r a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 2*y**2 + 236413392*y + 236413390 = 0.\nAnswer: -118206695, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 7328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c + 2*c - 3*c - 6 + 8*c**2 - c**3. Let x be b(8). Suppose -3 = -x*v - v - t, 0 = -4*v + 4*t - 12. Put v, 0.5, 5\/2 in ascending order.\nAnswer: v, 0.5, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 q when two letters picked without replacement from {q: 1, i: 5, t: 3, x: 1, c: 2, e: 1}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-4\/3))**(-34)\/(x**(-2\/7)\/x**2) assuming x is positive.\nAnswer: x**(1000\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22.15 or 1047?\nAnswer: 22.15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l + 12. Let u = 90 + -85. Suppose -3*b + 37 = u*f - 43, -36 = -2*f - 2*b. Calculate the remainder when f is divided by x(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - p - 33 = 3*p - 8, -4 = p for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -48.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o + 4*k, -44*k + 39*k = 5*o - 10 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(121)\/(1*sqrt(275)).\nAnswer: sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 351*-10778.\nAnswer: -3783078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 2*l + 124, -5*v + 2*l - 74 = -390. Calculate the remainder when v is divided by 40.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3\/5 + 142*v**2\/5 + 208*v + 2016\/5.\nAnswer: 2*(v + 4)**2*(v + 63)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/((d*d*d**6)\/d))\/d**5)**(1\/11))**(4\/11) assuming d is positive.\nAnswer: d**(-4\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 2091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 14 = 4*c, -4 = -5*r - 3*c - 0. Are r and 5\/753 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 49 - 52. Suppose 0 = -2*b + 9 - 35. Let n = 9 + b. Sort n, v, -2 in descending order.\nAnswer: -2, v, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5348457 to the power of 1\/3, to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1467224 divided by -66692.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14.3 + -0.3. Let l = t + -14.09. Let z = l - 7.71. What is z rounded to 0 decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - ((-6 - 1) + 8)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 590394.6909 rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 35226233 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-4*(sqrt(68) + sqrt(68)*-1))\/sqrt(4))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, r: 1, a: 4, m: 2}. Give prob of sequence armm.\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251492 is divided by 63?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 7:19 AM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 284610?\nAnswer: 85383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1119 is divided by 279.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -175 - -195. Solve 3*c - u = -5*p + 2*c, 0 = -p + 3*c - 12 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and -848.1443 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.14 (b) -8 (c) -3 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 124949 rounded to the nearest one thousand?\nAnswer: 125000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -k**6 + 433*k**4 + k**3 - 3788*k**2 wrt k?\nAnswer: -120*k**3 + 10392*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2050 + -3054. Let o(w) = w**2 + 2. Let z be o(0). Let i be x\/(-8) - (-1)\/z. What is the highest common factor of 18 and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x**2 + 13*x + 197. Let o be b(13). Solve -5*s - o = -48 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -37613539, -75227077, -112840615, -150454153, -188067691, -225681229?\n\"Answer: -37613538*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**8\/s)**(-6) assuming s is positive.\nAnswer: s**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 + 25. Suppose a*c - 12 = c, -2*c - 499 = -5*m. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-2)*8\/(-3). Suppose -7*n + 24 - 3 = 0. Suppose -n*k + 4*j - j = 0, 3*j = 2*k + 4. Solve 4 = -f*h - k for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 625300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -3*c - 1. Suppose 0*a + 12 = -4*a. Let o be (-3)\/((-4)\/(8\/a)). Let k = -1 - o. Determine s(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (108*y - 646*y + 285*y)*(-3 + 3 + 3) to x*y + s and give x.\nAnswer: -759","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 3*t**2 + 15*t + 20. Let n be z(6). Calculate the remainder when n - (-12 + 9) - (-2 + -454) is divided by 66.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5396 + 5381. What is the nearest to x in -2, 1\/6, 2\/307?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.5, -1, 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 1147*s - 3 + 1 + 2991*s + 841*s + 5.\nAnswer: 4979*s + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -3*t + 3089173, -10*t - 5148665 = -15*t - 2*p. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 2 + sqrt(153))**2 - sqrt(153) - (-2 + sqrt(153) + -2 + sqrt(153))**2 - (4 + (sqrt(153)*4 + sqrt(153))*-4).\nAnswer: -470 + 87*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1137 - -1?\nAnswer: 1138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -375543 or -375595?\nAnswer: -375543","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -21*h + 22*h + 2 + 2 + 9. Let i = 16 - 11. Let b be p(i). What is the greatest common factor of 6 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -5*l - 5*j - 11, -2*j = -4*l - 16. Let n = l - -6. Solve -2*d - 5 = n for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -100*z + 40. Let g(i) = -i + 2. Calculate -g(s) - t(s).\nAnswer: 101*s - 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -56.543 - -0.543. What is the nearest to 0.1 in t, 2\/11, -0.1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -92.792 - 0.208. Let m = -42 - l. Let d = 55 - m. What is the third biggest value in d, 35, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 + 106*v**2 - 206*v + 929. Give x(-108).\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1309 is divided by (-41)\/5*40*9\/(-18).\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1705 + 4280. Is r a multiple of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5603717433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 2877 = -w. What are the prime factors of w?\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-15) + 641\/5 + -1. Suppose f = 2*q + 13. Is q a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: ((-765)\/450 + 6\/(-20))\/(-52 - -54)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jxffnxffyafxfyfyff. Give prob of picking 1 y, 1 n, and 1 f.\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*j + 70020 = 68490 for j.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (22\/(-13))\/(-2) + -1. Let m be 6\/(-5)*15\/(-6). Suppose 4*u - 4*y - 6 = y, 5*u - m*y = 1. Is u greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - 5*c**2 + 4*c - 7. Let q be x(-6). Let o be (-98)\/(-8) + (-4)\/16. Suppose 0 = 2*h + 2*h - o. Solve q = 2*m - h*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 1. Let t = 101 - 100. Does k = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000011328 rounded to seven decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 4*h - 24, 2*h = -2*h + 16. Suppose -b = 3*g + 15, 0*b + 3*b + 10 = -2*g. Put 4, i, b in descending order.\nAnswer: 4, i, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*p - 5*p + 2*p)*(-2*p - 2*p + 6*p) - 103*p**2 + 125*p**2 - 326*p**2 to the form r + z*p + w*p**2 and give w.\nAnswer: -306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49 and 84.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -15*g**3\/7 + 52*g**2 - 1779*g\/7 + 2466\/7 = 0.\nAnswer: 3, 274\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/11 + 92*f\/11 + 94\/11.\nAnswer: -2*(f - 47)*(f + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2022010 (base 4) to base 11.\nAnswer: -6703","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/6)\/(18\/27).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -42*k**6 - k**5 - 169*k**2 + 1.\nAnswer: -5040*k**3 - 60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -10*q**4 + 4*q**2 - 2*q - 6. Let s(f) = 10*f**4 - 3*f**2 + 2*f + 4. Let k(a) = -6*s(a) - 4*z(a). Find the third derivative of k(l) wrt l.\nAnswer: -480*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-4 - 0) - -5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/2235 >= 1300\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1430*a**2*v**3 - 43732*a**2*w + 196*a*v**2 + 35*v**3*w + v**3 + 199*v*w wrt a.\nAnswer: -2860*v**3 - 87464*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 10 - 11*s - 31 - 6. Let z(w) = -7*w - 18. Let y(v) = -7*v - 18. Let d(u) = 5*y(u) - 4*z(u). Let m(r) = 8*d(r) - 5*p(r). Determine m(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1897 = -8*l + 5*l - 4*f, 5*l - 3152 = 3*f. Are l and 631 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3402011 - 13?\nAnswer: -3402024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 168.4 + -167.7. What is the biggest value in q, 1, 2\/7, -0.01?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -513168090 divided by 171056030\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 42 + -38. Solve -22 = 5*i + 4*p, -t*i - 2*p - 20 = 2*p for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 + (5 - 71) + -49?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 5, -2\/3, -0.1, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -174 or -172?\nAnswer: -174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 2:44 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3)\/(-9)*9 + 65?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y**2. Let r be (4\/8)\/(1\/10). Let d(w) = r - 5 + 7*w + 0. Determine x(d(q)).\nAnswer: -98*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 4*p**2 + p - 5. Let t be h(-3). Let c(r) = 9*r**2 + r - 1. Determine c(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*v + 35. Let r be (135\/(-6))\/(3\/(-4)). Let z = r + v. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - 8*q - 3. Let t be g(-7). Suppose 2*x - 3*w - 1 = 17, -w = -t*x + 16. Is 11 a factor of x\/((-12)\/16) + 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of u**5\/4 + u**4\/3 - u**3\/2 + u**2 - 10*u. Let v be f(2). Suppose -91*a + 92*a - v = 0. What are the prime factors of a?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 8.31 and 114912054978.\nAnswer: 114912054986.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {p: 13, v: 6}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 plus -6.17008?\nAnswer: -11.17008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/6 + 985*r\/6 + 164.\nAnswer: (r + 1)*(r + 984)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 293 - 172. Let z = y - 72. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x**2. Let p(l) = 104*l. Let i(q) = 21*q. Let d(n) = 11*i(n) - 2*p(n). Determine d(a(s)).\nAnswer: 69*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.76659ml to litres.\nAnswer: 0.08476659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -75*u**5 - 8865*u**4 + 121248*u**3 - 581856*u**2 + 1200384*u - 905472 = 0.\nAnswer: -131, 12\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 - 25. Let g(o) = -o - 2. Let b(j) = j - 1. Let t(m) = 3*b(m) + g(m). Calculate the smallest common multiple of q and t(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2116, -2822, -3528?\nAnswer: -4234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -147555 (base 9) to base 4\nAnswer: -112023203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q + 10. Let t be m(7). Let f be 6\/(-33) - (-276)\/66. Solve -t = -f*d + 3*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 3*m = 12, -3*m + 0*m - 4 = -l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 21\/4 of a micrometer?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 133*v**3 + 35597*v**2 - 17800*v**2 - 17799*v**2 - v + 6 to the form d*v + t + z*v**2 + c*v**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -4 + 4 + k. Let a(q) = 6*q**2. Determine a(f(o)).\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6923393 to the nearest integer?\nAnswer: 2631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - 309b1b6?\nAnswer: -309b1b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, a: 9, h: 3, t: 2}. What is prob of picking 2 a and 2 m?\nAnswer: 27\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -11*p**2 + 15*p. Let c(m) = m**2 + m. Suppose 0 = 3*n + 2*o, -3 = o - 0. Let g(t) = n*s(t) + 2*c(t). Find the second derivative of g(k) wrt k.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*s**3 + 1 - 5*s + 18*s**3 + 13*s**3 to t + c*s**3 + f*s**2 + i*s and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b*((b\/(b\/(b\/(b*b*b**(2\/29)))))\/b)\/b)\/(b**(5\/2)*b))\/(b\/(b**(1\/15)*b))**(2\/65))**(5\/7) assuming b is positive.\nAnswer: b**(-258259\/79170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -14, -32, -56, -86?\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 7*v**2 - 87*v + 20. Determine i(9).\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -6. Let l(n) = 4*n**2 + 2*n - 4 + 0*n - n**3 + n + i*n. What is l(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(((-8)\/84)\/((-82)\/861))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2607 and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -198 + 992\/5. What is the nearest to b in -0.1, 1\/4, 11?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.3, -109, 0.1, -2\/9 in ascending order.\nAnswer: -109, -2, -2\/9, 0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -238805637*o - 10*o**3 + 119402468*o + 119403169*o.\nAnswer: -10*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 8*g**2 - 4*g - 2. Let j be d(6). Let o = 7 + -38. Let i = j + o. Is 4 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1.1, 0, 2, 0.2, 3\/7?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.9 - -17.1. Let k = v - 17. What is the closest to 1 in 0.5, -0.3, k?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/9, -6, 49?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 1) + (15 - 11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 0.5, 109, 1\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = n + 2*t, 4*n - 11*t + 482 = 346. Let s(b) = -6 - 20*b**3 + 19*b**3 - 6*b**2 - 5*b**2 + 12*b. Determine s(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -792 - -800. Solve 17 = -9*y + c for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (132*k - 132*k - 23*k**2 + (-2*k - 3*k + 4*k)*(0*k + k + 0*k) - k - 2*k**2 + k)*(-14 + 18 - 25) as p*k**2 + t + r*k and give p.\nAnswer: 546","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0501 - 0.0499. Which is the nearest to -0.1? (a) -3 (b) -1 (c) 1\/18 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35 + 37. Suppose -z*l + 8 = 2*y, -2*l + 7*l + 4*y = 18. Suppose 5*j - 12 = 4*r + 12, 0 = -3*j + l*r + 14. Solve -c + 5 = j*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 4. Suppose 0 = -g*c - 0*c + 56. Calculate the remainder when c is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 + 255*l**2 - 10 - 5*l - 258*l**2 to a + z*l**2 + s*l and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 3:25 AM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20726.\nAnswer: 2, 43, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14918*s - 7038 = -14816*s for s.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 331012?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32 - 43 - -18) + -17.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**5\/5 + 2*d**4 - 12*d**3\/5 - 64*d**2\/5 + 64*d\/5 = 0. What is d?\nAnswer: -4, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/4*(-1)\/10. Let k be (-44)\/(-154) - (-38)\/14. Which is the closest to -1? (a) -0.1 (b) n (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-3 - -4*((-5015)\/(-140))\/17)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4964067 a multiple of 282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/1 + 3 + 88\/2. Suppose k = -6*x - 129. Let v = x + 95. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 4*o + 1037 - 1009, -c + 2*o + 52 = 0. What is the lowest common multiple of c and 1\/2*(3 - -41)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14622.444 to the nearest one hundred.\nAnswer: -14600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/2896 and 69\/1448.\nAnswer: 2896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zk when two letters picked without replacement from {u: 1, k: 2, p: 1, z: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -40*p**2. Let l(d) = 6*d**2 + 10*d - 5. Let b(k) = 7*k**2 + 8*k - 4. Let h(z) = 5*b(z) - 4*l(z). Give o(h(u)).\nAnswer: -4840*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2600658853?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 52025.21ml in litres?\nAnswer: 52.02521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -5 + 2. Differentiate -1 + 2*g + u - 3 + 0 wrt g.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -143035 + 242774. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 315 and 1035?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (5 + -3) - (-10 + -19 + 19)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 108, 319, 648, 1101, 1684, 2403?\n\"Answer: y**3 + 53*y**2 + 45*y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/8 and 79\/1934?\nAnswer: 7736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1*u**(-6\/5)\/u)\/((u*u**(-5\/2)*u)\/(u\/(u*u**(4\/9)*u))) assuming u is positive.\nAnswer: u**(-193\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-39)\/130)\/((-24)\/(-20)))\/(37\/(-3108))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 - 4 = -5*f. Let u(l) = 3211*l**2 - 10*l - 1. Let y be u(f). What is y rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 204.9 - 208. Let a = -67 - -63.9. Let c = p - a. What is the nearest to -1 in 3, c, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 - 13 = -6*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4, -384, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of g**6\/60 - g**5\/60 + g**4\/24 - 21*g**2. Give v(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10847 - 10653 = -97*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 - 5. Let q be v(-4). Let b(x) = -15*x + 10. Let d(u) = -3*u + 2. Let c(s) = q*d(s) - 2*b(s). Give c(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 0. Suppose 2*y - 4 = -m. Solve -1 = 3*j + o, y*j + 21 = 4*j + 5*o for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26357511?\nAnswer: 3, 8785837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(68) - (sqrt(68) - (sqrt(68) + -1*(sqrt(68) - (sqrt(68)*3 - sqrt(68))))))\/(sqrt(44)\/(sqrt(55)\/sqrt(5))).\nAnswer: 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 7:58 AM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 648 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -9, -7, -7, -9, -13?\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 24 divided by 9\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of -d**5\/60 - 2*d**3\/3 + d**2. Suppose -126*w + 449 = 264*w - 103*w - 125. Determine v(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(2\/5)\/(s*s*(s**(-1\/8)*s)\/s)*(((s\/(s**(-4\/11)\/s))\/s)\/s*s)\/((s*(s\/s**(-7))\/s)\/s)*(s\/s**(-4\/7)*s*s**(1\/20)*s)**(-6\/17) assuming s is positive.\nAnswer: s**(-87855\/10472)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/4*16\/((-2240)\/(-14)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30047*v**2 - 4*v + 325?\nAnswer: 60094","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-2 + -1 + 2)) + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 301546773?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1214273 to the power of 1\/3, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7076 is divided by 7065?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 198704645 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 - 31. Let t = 3 + c. Let n = -2069\/13 + 159. Sort t, n, 0.3.\nAnswer: n, 0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -51, -0.5, -0.17?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = d + 4*d - 428, -5*d + 2*o + 434 = 0. Is d a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 2*o - 78. Suppose 2*d + 65 = -3*d. Let h = -7 - d. Solve i - h = -5*s, -4*i - s + 6*s - o = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -11, 0, -4, -44?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**1\/(v**1*v) assuming v is positive.\nAnswer: 1\/v","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 41941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -777 - -782. Put l, -39, 0.06 in descending order.\nAnswer: l, 0.06, -39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3382, -6765, -10148, -13531?\n\"Answer: -3383*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 + -1002?\nAnswer: -323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4)\/(-83))\/(37532\/853))\/(1\/11).\nAnswer: 1\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5\/33 + 2\/11. Let n = 4.1636 + -4.6636. Let y = 5.7 - 0.7. What is the nearest to -5 in u, n, y?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2942858?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of 0*y**5 + 1\/10*y**6 + 0 + 0*y**3 - 12*y**2 + 23\/24*y**4 + 0*y. Find the second derivative of w(b) wrt b.\nAnswer: 72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 905381 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = 2*w - 12 - 8, 4*g = -w + 18 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000018803085 to six dps.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g**4 - 57918*g**3 + 116*g + 168 - 2*g**5 + 57*g**4 - 216*g**2 + 57806*g**3 - 2*g**5 = 0.\nAnswer: -1, 1, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4895736*x**4 - 394*x**2 - 29*x + 3.\nAnswer: 117497664*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3269*u - 14*u**3 + 1104*u + 1116*u + 1104*u.\nAnswer: -14*u**3 + 55*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of -f**4\/4 + 14*f**3\/3 - 12*f**2. Let x be z(21). Let v = -45 - x. Calculate the remainder when v is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + 4*p**2 + 9*p - 4. Let c be q(7). What is the greatest common divisor of 230 and c?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + -1)*4\/(-4). Suppose c = 2*x + j - 403, 3*j - 450 = -3*x + 150. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, u: 5, a: 2}. Give prob of picking 2 b and 1 u.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15203302 to the nearest integer?\nAnswer: 3899","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.770074 meters in micrometers?\nAnswer: 770074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -1a58c?\nAnswer: 1a594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbqbjqqbdjbqb. Give prob of sequence dqj.\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 138437073 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(3) - (sqrt(3) + 4) - sqrt(3)) + (sqrt(21)\/sqrt(7) - sqrt(3))*5)**2 + -1)*-2*6.\nAnswer: -5688 - 2400*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 4*h - 45 = -3*s, 0 = -2*h. Suppose 244 = s*l - 584. Calculate the remainder when l is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 22*s**2 + 129*s + 1021. Calculate x(-18).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l**2 + 375*l - 770 = 0.\nAnswer: -77, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1730, -1732, -1736, -1742, -1750?\n\"Answer: -l**2 + l - 1730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -77481 times -3?\nAnswer: 232443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1060a - -3?\nAnswer: -10607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppoppopppppoopppp. What is prob of sequence ooo?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 - d - 1. Let g be x(-2). Let a(f) = -2*f**3 + 3*f**2 - 5*f - 5. Does 13 divide a(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 3)*(1 + 2 - 2 - 5 + 3 + 4 + 1 - 4 + 5 + (-1 + 0 + 0)*(2 - 3 + 3))*(-v - 5*v + 2*v).\nAnswer: -24*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**4 + 10048 - 9992 - 146*j + j**3 - j**3 + 170*j as a + y*j + h*j**4 + r*j**3 + s*j**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 164160 and 1231200?\nAnswer: 2462400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (1360\/(-306))\/(1430\/(-27027))?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*t - 30 = 26*t, 4*t = 4*b - 28 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, h: 1, n: 2, a: 1}. What is prob of picking 1 n, 1 h, and 1 k?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of -7\/3*r**6 + 164*r**2 + 0*r**4 + 2 + 47*r + 0*r**3 + 0*r**5. Differentiate s(t) with respect to t.\nAnswer: -280*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 + -43416652.36?\nAnswer: -43416387.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 1\/6*o**2 - 43\/3*o = 0. What is o?\nAnswer: 0, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - y - 1. Suppose 17 = 2*z + 7. Let h(k) = z + 7*k**2 - 10*k**2 + 21*k**3 - 18*k**3 + 3*k. Determine -h(v) - 3*u(v).\nAnswer: -3*v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express ((61*m - 42*m + 33*m)*(0 + 0 + m) + 3*m + 2*m**2 - 3*m)*(2 - 4 + 3) in the form g*m + f + r*m**2 and give r.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 + -27. Does k = -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + 3)*196976\/32 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10128502 divided by -2.\nAnswer: 5064251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 4*t - 0. Let y be (-6)\/t + 154\/10. Let f(r) = r**2 + 4*r - 2. Let s be f(-6). What is the highest common divisor of y and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.096 and -4690?\nAnswer: -450.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.8, -0.3, 1.5, -3.5.\nAnswer: -3.5, -0.3, 0.8, 1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - 6 - (-1 - 7 - -3). Let t(b) = -b**3 - 4*b**2 + b + 4. What is t(m)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3157247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3807*b**3 - 11408*b**3 + 3807*b**3 + 3801*b**3.\nAnswer: 7*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/7 - (-66)\/126.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 308\/3*y**2 + 4\/3*y**4 - 64\/3*y**3 - 392\/3*y + 0 = 0.\nAnswer: 0, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 84*l = -82*l, -7*g = -3*l - 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2ac0 (base 14) to base 10\nAnswer: 7616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(833)*1 + -3) - (4 + 2*(sqrt(833) - (sqrt(833) + sqrt(833)*2) - sqrt(833))))*-6)**2.\nAnswer: -2520*sqrt(17) + 749736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.02, -3, 298, -1?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.625 plus 0.7444867?\nAnswer: 1.3694867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -944 + 953 - (8 - (4 - 2))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 5 + (-15 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7733185 and -0.8301.\nAnswer: 7733184.1699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -931\/2 + 4333\/10. Let w = 32 + v. Put w, -0.1, 1\/7 in increasing order.\nAnswer: w, -0.1, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 PM and 1:58 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 + -1 - (73 - 64 - -49)) + 0.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z**(2\/13)*z)\/z*(z*z*z\/(z\/(z*z**(2\/9))*z*z*z))\/z)**(-8\/9))**(-32) assuming z is positive.\nAnswer: z**(11264\/1053)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 218*s + 26724776000 = -536*s. What is s rounded to the nearest one hundred thousand?\nAnswer: -35400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10.5 and -424.\nAnswer: 4452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5064872 at least as big as 15194620\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29841186 and 13710?\nAnswer: 2742","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 18832 (base 11) to base 8\nAnswer: 63264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/3 (b) 27\/8 (c) 2\/9 (d) 1 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52297?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of 0*p + 8*p**3 - 49\/2*p**2 + 0*p**4 - 2\/5*p**5 + 15. What is the second derivative of u(b) wrt b?\nAnswer: -24*b**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4019526029 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3315784 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -41 + (-8 - -7) + -2 - (7 + -12)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 133.7 + -134. Which is the closest to m? (a) 2 (b) -0.4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/3127 and 67\/318.\nAnswer: 18762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 34035222 (base 6) to base 8\nAnswer: 3736476","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 271 + -223. Is 24 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*s**4 - 216*s**3 - 47*s**2 - s?\nAnswer: 48*s - 1296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 + -123203?\nAnswer: -123221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.752325791 to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 276174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 187 in -5, -27, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 13*l + 54. Let i be b(-3). Which is smaller: i or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 2. Let y(q) = q**3 - 5*q**2 - 8*q + 9. Let c be y(6). List the prime factors of (-24)\/(c*m) - 2.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 254*n*s**3 + 76519*n*s**2 + 857074*n - 2 wrt s.\nAnswer: 762*n*s**2 + 153038*n*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0269 + 3.0269. What is the second biggest value in v, 0.08, 4\/3, -5?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1622381, 6489510, 14601385, 25958006, 40559373?\n\"Answer: 1622373*t**2 + 10*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbfubfnvvfn. What is prob of picking 1 u, 1 n, and 2 f?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 48*l + 164 wrt l?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1019 by 144.\nAnswer: 1019\/144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - (-3 + 1 + -1)) + 12. Suppose b + c = -r + 53, r = 3*b + 20. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-13)\/(-221) + (-4)\/68. Solve -5*d - 20 = -k for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24074167 - -0.1.\nAnswer: -24074166.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 a when two letters picked without replacement from gagggggaggggggggggg?\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d**4 - 64*d**3 - 128*d**2 + 3072*d + 9216 = 0.\nAnswer: -4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4*v = 7, 3*h = -0*v + 2*v + 7. Let m = 6 + -3. Let x = h + m. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 3*d + 3*t + 2, -5*t + 8 = -2*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6148 is divided by 6139.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 - 7*d**2 - 9*d + 14. Calculate the least common multiple of r(8) and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bktbstobskkcbbtbtok. Give prob of picking 1 s and 1 t.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13288 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14\/21 + 8\/6. Let z be 2\/((-5)\/s - -3). What is the third derivative of -5*g**3 + g**3 + z*g**3 - g**4 + 5*g**2 wrt g?\nAnswer: -24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4477722?\nAnswer: 2, 3, 746287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 4*g - 0*g + 81, f - 2*g - 27 = 0. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**4*l**2 + 63*b**4*l*s**3 - 2*b**2*l**2 + b**2*s + 31*s**3 wrt b.\nAnswer: -24*b*l**2 + 1512*b*l*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -5\/38506716 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3074*x**2 - 2*x - 1. Let p be r(-1). Let n = p + -29078. Let k be 30*(0 - (3 + n)). What is k rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -528, -19 in decreasing order.\nAnswer: 1, -19, -528","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -63 (b) 0.04 (c) -1\/6 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = l + 13*l - 0*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/11? (a) 20\/53 (b) -0.715 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 459\/(-126) + (-3)\/6 + 4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*l + 13581 = -5*l. What are the prime factors of l?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1 + sqrt(720) - (sqrt(720)*-1 + sqrt(720))*2)**2 - 4*(sqrt(180)*1)\/sqrt(9).\nAnswer: -56*sqrt(5) + 724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33196 is divided by 1445?\nAnswer: 1406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1973 - -73.0827. Let n = q - 61.8. What is n rounded to zero dps?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -12*f**3 + 4*f**2 - 5*f + 11. Determine z(2).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -74 (base 13) to base 15.\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.812 (b) 5 (c) 0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 10*r - r**2 + 4 + 3*r**2 + 4. Suppose 5*j = -12 - 18. Is w(j) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -8 - -11 - (10 - (-23 - -12 - -7))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 2:01 PM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 44\/5 of a micrometer?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 5*z - 51, 3*d + 119 = -d - 3*z. Let w(c) = 9*c - 13. Let u(q) = -2*q + 3. Determine d*u(a) - 6*w(a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000006327715 rounded to seven decimal places?\nAnswer: -0.0000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 144 + -87 + 37 - 65?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1 + m**2 - 8*m**3 - 1 - 8*m**2 wrt m?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 599 - 975 + 379 - 14*g - 5*g.\nAnswer: -19*g + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -13847402 take away 2632459?\nAnswer: -16479861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 5*k + 24 = 0, 5 = -4*u - 3*k + 25. Suppose 0 = 5*y - 5*h, 5*y + 6 = -0*h + 6*h. Put 0, 3, u, y in descending order.\nAnswer: y, 3, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of 3*c**3 - 1. Let l(w) = w**2. What is d(l(j))?\nAnswer: 9*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -137746987 and 362?\nAnswer: 137747349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y**3 + 891693031 - 891693031.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -711719*x**4 - 621296*x wrt x?\nAnswer: -8540628*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 168564 + -973. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28 and 169459976?\nAnswer: 169459976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7729 + 7730. Which is greater: 1\/9477 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/(u\/((u*u**(3\/2))\/u*u)))\/u*u)\/u**(-3\/2))\/(u**(2\/17)*u**0*u*u))**33 assuming u is positive.\nAnswer: u**(1056\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of u**8\/6720 - u**7\/360 + u**6\/90 - u**5\/120 + 5*u**4\/4 - 21*u. Let i(j) be the third derivative of s(j). Calculate i(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2545)\/(-5) + -2 - -7. Let z = k - 511. Solve -2*t + z*d = -6, -5*t - 27 = -2*d + 5*d for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2\/9415 + 235191\/866180. Let h = 787\/230 - k. Find the common denominator of -73\/4 and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of -m**4\/12 - 6*m**2. Let f(h) = 2*h. What is f(x(o))?\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -6*u - 7. Give h(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gssk when four letters picked without replacement from {k: 8, g: 3, s: 5}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 - -46. Let q be 2 - (-8)\/r*-5. Which is bigger: 1 or q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 0)*(-2*y + 1 + 0*y + 3*y).\nAnswer: -3*y - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -972874249, -1945748499, -2918622747, -3891496993, -4864371237?\nAnswer: -5837245479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 341.6867 years to months.\nAnswer: 4100.2404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.8295197 to one dp.\nAnswer: -8.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + 2 - 0\/(-4). Let c be l - (3 + 3 + -1). Let n = c + 4. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*l**4 + 26292*l**3 - 37712*l**2 - 27984*l - 4304 = 0. What is l?\nAnswer: -538, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/1913 - -135815\/7652. Find the common denominator of u and -63\/194.\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -248 = -5*m - 4*r, 0 = -4*m + r + 31 + 159. Suppose -10*f + 153 = -7. Calculate the remainder when m is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1737787027 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1903*w**5 - 1004*w**4 + 42*w**3 - 857732256*w**2.\nAnswer: 114180*w**2 - 24096*w + 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -378845 to the nearest 1000.\nAnswer: -379000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9033 + 1390?\nAnswer: a3c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -2 (c) 2\/11 (d) -6 (e) -45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2959284l to millilitres.\nAnswer: 295.9284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81910.06 kilograms to tonnes.\nAnswer: 81.91006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 0.2 (b) -12 (c) 2\/11 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 157*x**3 + 10*x**2 - 119*x - 6. Let w(l) = 487*l**3 + 32*l**2 - 358*l - 20. Let y(z) = 13*a(z) - 4*w(z). Find the third derivative of y(m) wrt m.\nAnswer: 558","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + -1*11 - 1. Let d be ((-2)\/2)\/(3\/b). Let q(s) be the second derivative of s**5\/20 - s**4\/4 - 2*s**3\/3 + 2*s. Determine q(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35420 + 35419.9999960204. Round i to 7 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4841486 is divided by 201.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.24 in 0.07, 14, -5, -17.4?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 4*j + 7, 0 = -2*o - 0*j + 2*j - 14. Sort o, 1, -4, 3 in descending order.\nAnswer: 3, 1, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 6 = -6. Suppose y*f + 2*p - 614 = 0, 5*f + 0*p - 2*p - 772 = 0. Does 14 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 9 (b) -1\/23 (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 327*x - 320*x + 7 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -223444 < -141?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 317.3, 1\/2, 1, -250, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 3*m = 6. Sort 1, -4, m in descending order.\nAnswer: 1, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 942 divided by 42566\nAnswer: 471\/21283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -91, -544, -1299, -2350, -3691, -5316, -7219?\nAnswer: -9394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-32)\/(-24)*6\/4. Sort -2, k, -3 in ascending order.\nAnswer: -3, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 137*c. Let z(f) = 10*f**2. What is t(z(w))?\nAnswer: 1370*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10\/2247 + -331\/2247. What is the second biggest value in q, 1\/5, -334, -1\/2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -184 - -2394\/13. Let k = 0.4 - 0.2. Which is the third biggest value? (a) k (b) 1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 40\/9, 17, 29, 5, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 920655577.\nAnswer: 31, 29698567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 divided by -2.\nAnswer: -35\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -653 or -21.0007?\nAnswer: -653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -10, 5, 24?\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of -58*p**6\/3 - 4*p**5\/5 - 315*p**2 + 810. What is the second derivative of n(h) wrt h?\nAnswer: -2320*h**3 - 48*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m**2 + 10*m. Let j be h(9). Let z = 104 + j. Suppose -w = -104 + z. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2184, 1037, -1, -3 in ascending order.\nAnswer: -2184, -3, -1, 1037","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 72 - 69. Find the first derivative of -174*z**3 - 5 - 35 + 228*z**g wrt z.\nAnswer: 162*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 94*c + 135 + 42 + 199 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 3*o - 24 = 0, -l - o + 1 = -3*o. Suppose 7*p - 60 = 3*p. Calculate the remainder when p is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3 take away 8158?\nAnswer: -8159.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 101 * -0.28\nAnswer: -28.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2917444*-0.5.\nAnswer: 0.1458722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 18784076.67 rounded to the nearest 1000?\nAnswer: 18784000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 872 and 5995?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -1, 49, 141, 287?\nAnswer: 499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -5*m + m. Suppose -1 = -5*t + m. Solve -2*z - t*y + 2 = 0, 2*y - 7*y + 5 = 2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -7*i**3 + 4*i**2 - 5. Let t(u) = -3*u**3 + 2*u**2 - 2. Determine 5*t(j) - 2*z(j).\nAnswer: -j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {p: 2, c: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7104 and 277248?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(1053) - sqrt(1053)*2)*-5.\nAnswer: 45*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60)\/(-5) - (0 - (-9)\/9)*-4.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m + 23. What is y(-17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5449 is divided by 259.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-3))\/(2\/24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3. Let a be (0 - (-2)\/6) + 26\/(-6). Let d(r) = r - 3. Give a*d(q) - 5*p(q).\nAnswer: -4*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1581558 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/(1\/((-2)\/(-4))). Suppose 2*i + 30 = p, -f*p + 7*i + 190 = 5*i. Suppose 0 = 3*z - p - 29. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = z + 36. Suppose 0*p + z = 2*p. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 3.6. Let s = d + -0.1. Let b = -4\/21 + -1\/7. Put -0.2, s, b in decreasing order.\nAnswer: s, -0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 4 + 4*s**2 - s**3 - 2*s**3 + 5*s**3. Suppose -15 = -3*t - 0, t - 14 = 3*d. Determine z(d).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-3 - -1 - -2 - 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17? (a) -2\/7 (b) 2\/19 (c) 2 (d) 78\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -228*b + 1239 = -225*b. What are the prime factors of b?\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1274 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 20 - 28 + 67*k + 11.\nAnswer: 67*k + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 12 - 335 = -5*p, 4*g = p - 367. Let j = 20 - g. What are the prime factors of j?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 2*r - 737 = -138, 4*r + 111 = p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3251 or 3248?\nAnswer: 3251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 32945\/297 + 10\/135. What is the highest common divisor of 13875 and y?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*g**2 + 4*g**2 + 11*g**2)*(g - 2*g - 2*g) + g**3 - 5*g**3 + 2*g**3 + (g - g + g)*(3*g**2 - g**2 - g**2) + g - g - g**3 + 3*g**3 + 2*g**3 - 4*g**3.\nAnswer: -64*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 + (-28)\/(-3)*4626\/2056*1?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3.8 and -0.0288?\nAnswer: 3.8288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 + -6. Calculate the remainder when 28 is divided by v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 - 7*y**2 - 6*y + 16. Calculate the lowest common multiple of ((-940)\/658)\/((-3)\/42) and u(-6).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(((-3)\/5)\/(40\/50))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (16\/20)\/((-19)\/95)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1493.03 - -1447.2. Which is smaller: j or -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(0 + sqrt(448) + sqrt(448)))**2*1 - (4*(sqrt(448)*4*-1 + sqrt(448)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 52\/6 + (-27)\/(-6) + 36\/(-8). Which is the second smallest value? (a) u (b) -2 (c) 3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 905 and 13213?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 10:38 AM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-9) + (-8)\/3. Let f be (-39)\/(-9) - l\/3. Solve -f*a = -9 - 6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/20 + 159\/12. Let j(c) = c**2 - 11*c - 10. What is the units digit of j(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by -254239?\nAnswer: -13\/254239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1670, 3930, 7698, 12974, 19758, 28050, 37850?\nAnswer: 49158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -532.827 and 124.037.\nAnswer: -408.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -108*184\/26496*(0\/1 + (-52)\/8).\nAnswer: 39\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 68086 times -0.364\nAnswer: -24783.304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -17. Suppose 28 = x*i + 8. Suppose -c - 198 = -i*l - 3*c, -5*l + 246 = 3*c. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-31*(-19)\/4123)\/(1*(-75)\/(-140)).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 - 3*h + 80. Let t(o) = -o + 1. Let y(x) = r(x) - 4*t(x). What are the prime factors of y(0)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-26)\/(-33)*(-72)\/36 and (-588)\/(-12) - (-1 + -1) - 1?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -157590.76 + 157590.95999982. Let k = 0.2 - b. Round k to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 = -31*g + 24*g. What is the nearest to g in -0.2, -1, -2\/15, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18521\/6 - -3094. Calculate the common denominator of o and 19\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -62 - -63. Let p = 14 - 12. Suppose i + 4 = 0, i = -p*s + 2*i + 6. What is the remainder when j is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5399.832 to 0 dps.\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.17, 2\/3, 1\/4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = 127*a - 56*a - 57*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1262, -4894, -10894, -19262, -29998?\nAnswer: -43102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a. Let m(k) = -12292*k - 3. Give d(m(s)).\nAnswer: -24584*s - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 8) to base 3.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 28 + 10. List the prime factors of a.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000169668801 to five dps.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 17*h**2 + h - 26. Give p(17).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of 3*w**5\/2 - w**4\/4 + 2*w**3\/3 - w**2 + 2*w. Let c be q(2). Let f = c - 119. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2261875135 to the nearest integer?\nAnswer: 1313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 26 * -14.606\nAnswer: -379.756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 0, 2*c = -4*j + c + 20. Let n = 35 + -62. Let b be ((-6)\/5)\/(n\/180). Let o(p) = -12*p - 8. Let q(z) = 8*z + 5. What is b*q(l) + j*o(l)?\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*d - 14 - 3 = 19 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.72 and -5854.8?\nAnswer: -27634.656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (((-121)\/33)\/(-11))\/((-1)\/(-27)). Let q be (3\/h)\/((-2121)\/18). Which is greater: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7467101119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -16*z + 22*z. Let b be z + 7\/((-14)\/4) - -3. Solve 0*n - 6 = -4*v - 2*n, -2*v + b = 2*n for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1667456766.\nAnswer: 2, 3, 947, 3623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -99, -22, -10, -1, 3.\nAnswer: -99, -22, -10, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7486 + 6442. Is x smaller than -1045?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 3 = 3. Suppose m*i = -2*v + 8, -3*i - 3*v - v = -16. Which is the second smallest value? (a) 4\/7 (b) i (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c + 1. Let w be z(-4). Let q(l) = -l**2 - 53*l + 424. Let s be q(-60). Suppose 40 = w*o + 6*f - f, 0 = s*o + 2*f - 22. Solve 0 = -g - 0*g + o for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 22263, 44651, 67039, 89427?\n\"Answer: 22388*n - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 14 = 43. Let x = -1 + z. Calculate the remainder when x is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 3*w + 3 = 0. Let x be (-8)\/(2\/w)*17\/2. Let p = 28 + 7. Which is bigger: p or x?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 + -11. Suppose -5*w = -z*w - 29. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -3, -157, -6183?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/5)\/(q*q*q**(-12)))\/((((q*q**(-2))\/q)\/q)\/(q*q**(3\/7)*q)) assuming q is positive.\nAnswer: q**(547\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 152 = 52. Calculate the remainder when t is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 21*s**3 + 239*s**2 + 93*s - 13. Determine o(-11).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 337335862189 and 0.02.\nAnswer: 337335862189.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-40) - 34*(-5)\/200.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 19*c + 17*c = -0*q - 4, 4*c = 6*q + 16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 - 14. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 78178, 156358, 234538?\n\"Answer: 78180*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 22.7003 to the nearest integer.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005163407739 to six decimal places.\nAnswer: 0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 12\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*h + 2*h + h)*((-2 + 2 + 3)*(-2 + 0 + 1) + 3 - 1 - 6) + 7*h - 21*h + 8*h.\nAnswer: -69*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-224)\/(-5628)*-8*18\/192?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26726 is divided by 501?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*c**3 - 5605206*c - c**2 - 15*c**3 - 41574*c.\nAnswer: -4*c**3 - c**2 - 5646780*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 8. Let m = 5 + z. Is (1 + (-13 - m))\/(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2375099 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of -5\/2*s**3 + 0 + 7*s**2 - 16*s. Differentiate i(b) wrt b.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 673305?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -12*b**2 + 1593*b + 408. What is a(133)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8501\/1777 or -4?\nAnswer: -8501\/1777","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 922 + -936 - (1 + 7 - 1)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 350720707?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 16467, 16428, 16389, 16350, 16311, 16272?\n\"Answer: -39*j + 16506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -64*j**3 + 5*j**2 - 3 + 7*j - 2 + 63*j**3. What is the tens digit of s(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -33497.37904\nAnswer: -33499.37904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -5*o**2 + 50*o + 480 = 0.\nAnswer: -6, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40 + -234 + -102)\/(24\/3)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 13. Suppose -2*s = 4*c - 10 - 0, 0 = -2*s - 3*c + 5. Let b(x) = x + 21. Calculate the smallest common multiple of i and b(s).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-55)\/(7425\/1674))\/(((-168)\/(-630))\/((-8)\/(-6))).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11879 is divided by 5832?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5757 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j - 11. Let o be (-49)\/(-4) + 1\/(-4). Let p be l(o). Are p and -2\/5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 622, 624, 626, 628?\nAnswer: 630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 73402973?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-1)*((-3150)\/(-35))\/10.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 28981632?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -310152879, -310152878, -310152877, -310152876, -310152875?\nAnswer: -310152874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.4 (b) -8\/7 (c) 5 (d) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 23*m*r**3 + 15*m*r**2 + 2*r**3 - 27*r**2 - 10*r wrt m?\nAnswer: 23*r**3 + 15*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y\/(y*y**(-2\/3)*y))\/y*y)\/y*y*y*y)**(-17)\/(y**(-2)\/(y\/(y*(y*y*y**3)\/y))))\/(y**4\/y*y*y**(-5)*y**(5\/2)*y*y**(-5)*y) assuming y is positive.\nAnswer: y**(-173\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6217 is divided by 1651?\nAnswer: 1264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100 + 1010111101111010111?\nAnswer: 1010111101111001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3774489 and 3774489.\nAnswer: 3774489","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8088 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 33679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11654 - -11657.5605. What is s rounded to 1 dp?\nAnswer: 3.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = -l - 6, 0 = 5*x + l - 3 - 9 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y + 2. Let b be r(6). Is (-5678 - 8)*b\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 51 + 29. Let h be (9\/(-12))\/((-2)\/l). Suppose j = 4*x - 19, x + 2*j = h*x - 26. Solve v + x*m = 4 + 4, -2*v + m + 7 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4b1 + 23?\nAnswer: -48b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26.056 + 0.056. Let g = i + 26.033. What is g rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -4*r**2 + 13*r + 19. Let l be h(-6). Let o = l + 1021. What are the prime factors of o?\nAnswer: 2, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-5260)\/(-6) - -4)\/(18\/54).\nAnswer: 2, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 94\/3 + -92\/3. Factor -1\/3 + n**4 - 1\/3*n**5 + n - j*n**2 - 2\/3*n**3.\nAnswer: -(n - 1)**4*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 5. Let v be (-150)\/35 - n\/(-7). Let z(r) = -r**3 - 6*r**2 - r - 7. Let o be z(-6). Sort 4, o, v in descending order.\nAnswer: 4, o, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = -5*i - 45, -62*p + 57*p = -15 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 99390\/175 + 4\/2. Let l = -570 + d. Let y be 4*((2 - 17\/(-4)) + -6). Is l less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 54 = -3*s, -s + 4*z + 41 = 6. List the prime factors of s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 825201.594 nanoseconds?\nAnswer: 0.000000001364420625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*j - 1)*(-3*j - 5*j + 3*j + (2*j - 4*j + 4*j)*(5 - 4 + 7) + j + 0*j - 2*j).\nAnswer: -20*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 395*w = -417*w + 1255*w - 321*w + 1098 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 303? (a) -1\/11 (b) -1.7 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -644, -1753, -3454, -5753, -8656, -12169?\nAnswer: -16298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 147462588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/((3\/(-5679))\/(4\/(-24))) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**2 - 4*d**2 + 3*d**2 - 3*d**2 + 4*d**2 + d**2 + (-1 + 1 - 2*d)*(6*d - 4*d + 0*d) - 3 - 2*d**2 + 3.\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123395615?\nAnswer: 5, 7, 241, 14629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -147 + 144. What is the tens digit of b - (2 - 38)\/(9\/66)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*l*p**3*v - 4981*l*p**3 + 2*l*p*v - 50*l - 10130*p**2*v wrt v.\nAnswer: 2*l*p**3 + 2*l*p - 10130*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46039.31cm to nanometers.\nAnswer: 460393100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - -1) + (-6 + -7 - -10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4}. Give prob of sequence ooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-5)\/(c*((c\/c**(-2\/3)*c*c)\/c)\/c*c)*(c**0)**(-2\/31))**(-2\/29) assuming c is positive.\nAnswer: c**(52\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -942 - -966. Calculate the greatest common factor of j and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 905735520 a multiple of 160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - (3244\/(-4) - -7). Let o = z + -568. What is the greatest common divisor of o and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14 * -238275.\nAnswer: -3335850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -77050, -2\/9, 3, 0.1, 3\/4 in descending order.\nAnswer: 3, 3\/4, 0.1, -2\/9, -77050","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -663922\/45 + 14753. Let y = -484064\/15 + 32275. What is the common denominator of p and y?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2902282327 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3134 (base 7) in base 13?\nAnswer: 66b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 65 and 0.9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12336 - 246639\/20. Let o = 5114095 + -61410629\/12. Let g = o + 3450. What is the common denominator of p and g?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 281*y**2 - 2. Let d(l) be the first derivative of -l**3\/3 - 786. What is d(m(u))?\nAnswer: -78961*u**4 + 1124*u**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235927 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/580 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20828*n*q**4 - 3*n*q**3 - 2*n*q**2 + 950287*n - 2*q wrt q.\nAnswer: -249936*n*q**2 - 18*n*q - 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -3630331?\nAnswer: 3630330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26293484 to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*l**2 - 3 + 2 + 5*l**3 - 5 + 7 as z*l + b + k*l**2 + t*l**3 and give k.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2 - 2357*r - 101772.\nAnswer: -(r + 44)*(r + 2313)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*c + 37*c = 10368 - 13852 for c.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((0 + sqrt(1539) + 1)*-3)**2.\nAnswer: 162*sqrt(19) + 13860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1760\/80 - (26 - -2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1029 + -1026. What is the third smallest value in m, -140, 1\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-2)*3\/(-6))\/(396\/594)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1381 (base 12) in base 7?\nAnswer: -6403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 g when two letters picked without replacement from gzxozggg?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2131933583 to the power of 1\/2, to the nearest integer?\nAnswer: 46173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -11, -12, -13, -14?\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2032132 (base 7) to base 11.\nAnswer: 156845","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 966497\/90 + -10740. Calculate the common denominator of 17\/90 and b.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2093 - 2092.9. Let m = 1 + -0.98. Put -0.2, m, l, -4 in descending order.\nAnswer: l, m, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 12:31 PM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 485 (b) -2\/5 (c) -242.7 (d) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-1\/2))**(-3\/14)*(w**(-2))**(-2\/29)*((w**(1\/3)*w)\/w**(-1\/4))\/(w*w**(2\/3))**(2\/7) assuming w is positive.\nAnswer: w**(375\/406)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 60071 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16474100 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-8)\/18)\/1)\/((-216)\/1944)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t = -5*t - 315. List the prime factors of t.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -3*w + a, 4*w = 4*a + 286 - 270 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3*t + 8. Let v be n(1). Suppose -204 = -v*w - b, 2*w = 3*b - 8 + 76. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -206*f**3 + 12811*f**2 - 200384*f + 37479 = 0. Calculate f.\nAnswer: 39\/206, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 3*s = 3*w + 14, -3*w = -3*s - 21. What is the nearest to w in 5, -1\/3, -4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/2)\/(72\/(-36)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16\/9 + -19\/9. Let v = -9 + -19. Let r = v - -32. Which is the nearest to -0.3? (a) r (b) 0.3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.2 + 0.8. Suppose 0 = 2*z - 7*z + 40. Suppose z = 2*k - 0. Which is the second smallest value? (a) k (b) 2\/3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llzllahzzzazlzhlll. Give prob of picking 1 l, 1 h, and 1 z.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90629 is divided by 187?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*k**2 + 16*k**2 - 4*k**5 + k**5 + (3 - 3 + 5*k**2)*(-k - 2*k**3 + k).\nAnswer: -13*k**5 + k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.42 - -1.54. Which is the fourth smallest value? (a) p (b) -5 (c) 6 (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 183*i**3*j**5 + 16*i**3*j + i**2*j wrt j.\nAnswer: 3660*i**3*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 - 2*c + 3. Let r = -12 - -8. Calculate t(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16173830?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 278 - 347 = 0. Suppose -3*l = 2*l - p. Let k(n) = -6*n - 2. Let g be k(-2). What is the greatest common factor of g and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 2*m - 8*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1951*w**3 + 1950*w**3 + 1952*w**3 - 9739*w**3 + 1946*w**3 + 1945*w**3.\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 o when three letters picked without replacement from {f: 3, o: 13, t: 4}?\nAnswer: 26\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*y + l, -4*y + 9 = 3*l + 2*l. Let j be 4\/(-14) + (-12)\/7. Let w be (1*j)\/(-1) - 0. Calculate the greatest common factor of y and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cy when two letters picked without replacement from {c: 1, l: 1, y: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -200*x**2 - 1029*x - 124. Give q(-5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -359, -722, -1085, -1448, -1811?\n\"Answer: -363*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/56*212\/(-3). Let h = -551\/35 - b. What is the closest to 0.1 in 1, 0, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6*8904612\nAnswer: -5342767.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.05 (b) -5 (c) 3\/4 (d) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g + 3*g + 3*g - 4*g + 2*g + 3*g + 0*g - 3*g + 2*g + (0*g - g + 3*g)*(1 + 2 - 2) + 2*g - g + g + (-10*g + 11*g + 8*g)*(0 + 4 - 5))*(-2 + 2*g**3 + 2).\nAnswer: -6*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 664, 23347, 1 in decreasing order.\nAnswer: 23347, 664, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.59 + -0.11. Let t = v - -0.7014. Round t to four decimal places.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d - 14. Let b(l) = l**2 + l - 1. Let h be ((-612)\/(-30) + -20)\/((-5)\/((-25)\/2)). Give h*k(s) - 3*b(s).\nAnswer: -3*s**2 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124 = 3*s + s. Suppose -4*m - a + s = -2*a, -5*a = -4*m + 11. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 79 + 76 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/(-3) + -8 - 99\/(-51)) + -1?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 8*k**3 + 58*k**2 + 14*k - 8. What is n(-7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7808 - 7807.5. Sort -35.68, o, 0.2 in descending order.\nAnswer: o, 0.2, -35.68","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3*c**2 - 2 + 2. Let i(w) = 3*w + 2*w - 6*w. Calculate i(j(o)).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 430 and 1544775?\nAnswer: 3089550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 697213881 a multiple of 819?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -73 (b) 1 (c) -0.4 (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 AM and 5:27 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.11? (a) 3\/5 (b) -0.1 (c) 1\/4 (d) 35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 - 7)*(-4 - 2 + 4)*(-h + 0*h + 0*h)*(-26 - 27 + 68 + h) to the form o + c*h**2 + v*h and give c.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4)\/2)\/12)\/(1\/(-6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 14) to base 8\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0131045666 to four dps.\nAnswer: 0.0131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 o, and 1 j when three letters picked without replacement from jomay?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, 2\/7, -852\/29 in increasing order.\nAnswer: -852\/29, 2\/7, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3501 (base 7) to base 13.\nAnswer: 771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-3 - (-14)\/7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (15\/(-9))\/(((-6)\/(-39810))\/((-9)\/75)) and 22?\nAnswer: 29194","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 63.033067 to 1 decimal place.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21142 - 220?\nAnswer: -21412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -0*p + 3*p + 29, 105 = 5*x - p. Suppose -3*i = -i - x. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-3)*(-24)\/36.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12.86 + 13.26. Which is the smallest value? (a) -46 (b) t (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((255\/(-425))\/(3\/10))\/((9\/(-8))\/3)?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -10, -3.\nAnswer: -10, -3, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 174072 less than -2.68823?\nAnswer: -174074.68823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (73 + -74)\/((-4)\/164). Put 3, a, -9 in descending order.\nAnswer: a, 3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of b**4\/12 - b**3\/6 + 3*b**2\/2 + 2*b. Let o(v) be the first derivative of m(v). Find the first derivative of o(j) wrt j.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12089988.\nAnswer: 2, 3, 335833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -30e + -10e4a?\nAnswer: -11259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/9)\/(2\/(-6))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27434792?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16536\/136)\/39*17.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5527*p + 138941 = -63542 + 36673 for p.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2052 and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-92)\/1725*-15)\/(148\/10*-1)?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 10*d + 55. Let o be w(-5). Suppose 3*c = -o*q + 8, 4*c - 11 - 43 = 2*q. Solve c = 3*a + 2*x, -a + 5*x = 2*a - 4 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(27\/(-126))\/((-3)\/46))\/((-142)\/(-497)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 10*b + 9*b = 4, n + 3*b + 12 = 0. Suppose 11*h + 3*y + 15 = 7*h, -5*h + 4*y + 20 = n. Solve -3*j = -5*w - 7, h = -w - 4*j + 5*j - 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3227, 6144, 9061, 11978, 14895?\n\"Answer: 2917*u + 310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 100 + -96. Let w be (-32)\/(-24) + -1 + c\/6. Sort w, -66, -4 in decreasing order.\nAnswer: w, -4, -66","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -43 by -43.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*l + 2*i = 41*l - 16, -i = -2*l + 16. Does 6 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 4*o + 7*o)*(1 - 12 - 83).\nAnswer: -376*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 3 (c) -0.28 (d) 1\/6 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - 33*q**2 - 62*q + 11. Give l(-31).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -410?\nAnswer: 2\/205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 82001, 164021, 246041, 328061?\nAnswer: 410081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*p - 1. Let h = p - -8. Solve 4*n + h = 8*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*a + 84 = -4*a. Solve -2 = a*i + 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2090, 4689, 8992, 14999?\nAnswer: 22710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4461 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 234146 (base 8) in base 5?\nAnswer: 10024344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**3 + 8*t**2 - 5*t - 4. Let l be z(-4). Let m(s) = -7*s**2 + 111*s + 3. Let u be m(l). Is u at least as big as -99\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 20 = 18 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -226*l + 2709. What are the prime factors of p(-15)?\nAnswer: 3, 19, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63\/(31752\/140)*(-2 + 20)*(-4)\/(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -112 + 115. Suppose -4*z + 17 = -o. Solve 5*n - z*q = -35, -n + 0*n = 4*q - 18 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r**(-2\/19)))\/r)\/(r\/r**(-13))*r**15*r*r**10 assuming r is positive.\nAnswer: r**(211\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ploopy. What is prob of sequence pooy?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of -p**5\/120 + 2*p**3\/3 + 29*p + 62. Let h(j) be the third derivative of w(j). Let y(k) = -27*k. Give y(h(v)).\nAnswer: 27*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -10*o - 49. Let c be d(-5). Let t be 57\/(c*3\/(-4)). Let i = 76 + t. Solve i*l - 1 = l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1*sqrt(147) + sqrt(3) - (sqrt(45)\/sqrt(3))\/sqrt(5) - (2 + -2*sqrt(27))).\nAnswer: -6 + 13*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 0 - (-1 + -350) - (-211)\/211?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34 - 62. Let f = n + 30. Calculate the remainder when 16 is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 441*z + 2*g + 172 = 439*z, -g - 392 = 4*z - 60 for z.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 19240 - 65034 - 8338. What is the thousands digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 + -11. Suppose 0 = -u*r + 2*r + 20. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1712*c**2 + 41 - 41 - 1704*c**2 + 3418*c**2 - 21*c.\nAnswer: 2*c**2 - 21*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3220 and 840.\nAnswer: 19320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s = 31*s + 39. Which is the third biggest value? (a) 0.1 (b) s (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/9631002 and 15\/173083?\nAnswer: 703063146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0038 and -40.55.\nAnswer: -0.15409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m**3 - 48*m**2 - 19*m + 458. Let v be p(24). Which is the second biggest value? (a) -77\/27 (b) 3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57272 (base 9) in base 2?\nAnswer: -1001010011110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 5*t**2 + 6*t + 11. Suppose 7*i + 12 = 9*i. Let k be x(i). Differentiate -8*f**2 + 2*f - 89 + k - 2*f with respect to f.\nAnswer: -16*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*v**2 + 12058*v + 16082.\nAnswer: 4*v + 12058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*q - 63*q - 112 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**2 - 38776*a + 65136736.\nAnswer: 4*(a - 7532)*(a - 2162)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3)\/2*5915276\/(-921)?\nAnswer: 2, 4817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*f - 8*f + 5 + 32*f + 9*f**4 + (5 - 5 - f**2)*(f**2 - 2*f + 2*f) + f**4 - f**4 + 2*f**4.\nAnswer: 10*f**4 + 10*f + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 PM and 10:24 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.620333um in centimeters?\nAnswer: 0.0009620333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -5*a - 4*r, -a - 5*r - 4 = 6. Suppose 2*j - 4*j + 4 = a. Solve -5*t - j = -2*o, 0 = -3*t + 2*o - o - 1 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-18)*74*-3*1. Let z = -35 - c. Solve l + 8 = -z*i, l + 4*i = -7 - 11 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2790 and 87687.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 81*i**2 + 446*i + 39. List the prime factors of g(-22).\nAnswer: 19, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 + 0.1. Let i = -0.283 + -7.277. Let b = -4.56 - i. Sort -7, b, h.\nAnswer: -7, h, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 2766?\nAnswer: 27660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -987\/2 (c) 10 (d) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54548667.\nAnswer: 3, 2020321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 + 4*a - 1. Let r be z(2). Let v be ((-578)\/(-204) - 3\/(-2)) + -4. Let n be 26\/(-40) - 2\/(-5). Put v, r, n in increasing order.\nAnswer: n, v, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y + 7 - 19 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1146354 and 147620?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of -3*h**5\/20 - 209*h**4\/4 - 10815*h**3\/2 + 33075*h**2\/2 - 500*h. Let n(o) = 0. What is o?\nAnswer: -105, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o*o*o**(-4\/3)*o)\/o*o**(-3\/7)*o**(2\/5)*o\/(o*o**2))**(-1\/15))**(-47) assuming o is positive.\nAnswer: o**(-1786\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1c + -520?\nAnswer: -503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 24 + (-9 - 5) - (7 - 0)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42834?\nAnswer: 2, 3, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 226398 a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - 1)\/(((-12)\/(-66))\/(-2)). List the prime factors of 115 + (-46)\/u + (-28)\/(-154).\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54 + 294*i**2 - 54.\nAnswer: 294*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -79, -5.\nAnswer: -79, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 5*s = 25, -2*m - 19*s + 16 = -15*s. What is the first derivative of -1 + m - 4 + 65*b + 35*b wrt b?\nAnswer: 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1074?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -180 - -186. Suppose f + p = 8. What is the lowest common multiple of 81 and f?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of t**8\/112 + t**7\/7 + 37*t**6\/40 + 16*t**5\/5 + 13*t**4\/2 + 8*t**3 - t**2 - 69. Solve i(w) = 0 for w.\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 6*x - 14. Suppose 15*u - 14 = -31 - 103. Let r(c) = 4*c - 9. Calculate u*r(f) + 5*a(f).\nAnswer: -2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 56507 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 - 64*k**2 + 497*k + 23. Let h = -138 - 3. Let p = -4 - h. What is the remainder when p is divided by j(-71)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggbh when four letters picked without replacement from bqhhhhhghghhhb?\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - 8*m**2 - 4*m - 6. Calculate g(-8).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/(5\/(-3)) + 4. Suppose -5*t = 2*p + 22, -k*t + 2*t - 20 = 0. Let d(i) = 0*i**3 - 2*i**3 + 6*i**3 + i. What is d(p)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**0\/g*g))\/(g*g\/(g\/g**3))*(((((g**(-1\/5)*g)\/g)\/g)\/g)\/g)\/g**10)**(-26) assuming g is positive.\nAnswer: g**(2106\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 963 by -12.\nAnswer: -321\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1698 + 3403 - 1705 + 1177*v.\nAnswer: 1177*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-962*i + 772*i - 3 + 1034*i)*(0 + 0 - 1) as j*i + u and give j.\nAnswer: -844","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 42\/8 + (-12 - 188\/(-16)). Suppose -4*c = -d - 11, -4*d - 3*c = d - 37. Solve 2*h - d = g for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -14*g + 653. What is t(47)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l. Let q(z) = z**2 + 3*z**2 - 7 + 3*z - z**3 + 4. Let u be q(4). Let t(d) = -7 + 7 - u*d + d. Calculate p(t(r)).\nAnswer: -16*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 24 = -6. What is the remainder when 82 is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + d + 301, -3*z = 3*d - 116 - 106. What is the tens digit of 6795\/z - 4\/(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + -3)\/((-21)\/(-490)). Let r be (p\/84 + (-1)\/(-2))*-6. Let a be (55\/10 - 3)*r. Sort a, -4, -21, 4.\nAnswer: -21, -4, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00339555 rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 2:17 PM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 488 + 407 = 0. What is the remainder when 629 is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 AM and 8:14 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 475\/80 - 62\/(-248).\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 14*m - 2 = -10*m, -4*k - 9 = m for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cdjj when four letters picked without replacement from {d: 1, c: 2, u: 2, j: 6}.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -63*q - 817 - 443 for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1080)*-1*3 + sqrt(1080))\/(-3*-1*sqrt(150)) + 5.\nAnswer: -4*sqrt(5)\/5 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**2 + 16*w**4 + 0*w**3 - 14*w**4 - 6*w**2 - w**3 as f*w + k*w**2 + z*w**4 + i + s*w**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 77500 + -33671. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5592374207 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 - -6) + 1 - 3 - 0. Let x(g) = s*g**2 - 3*g + 25*g + 36 - 3*g**2 + 4*g**2. Let f be x(-22). Solve -5*o + 4*p + 41 = 0, o - 4*p - f = -3*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of s**7\/21 + 5*s**4\/12 + s. Find the third derivative of p(b) wrt b.\nAnswer: 120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k - k - 5*k)*(-k**2 + 4*k**2 - 2*k**2).\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21921768?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 12:14 AM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -7*i**2 + 2. Let x(r) = -24*r**2 + 7. Let y(a) = 2*x(a) - 7*z(a). Let c(w) = -7*w + 8*w + 19*w. Calculate y(c(b)).\nAnswer: 400*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.04 (b) -3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 184934836 and 3692.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1238?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2013 (base 6) to base 12.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -96, 82, -3 in decreasing order.\nAnswer: 82, -3, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (342\/12)\/(-19)*8\/3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3e - -5?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1551 + -385. What is the greatest common divisor of 44 and s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5 - -5) + (-2 - -3 - (-10)\/25). Which is the closest to -2\/9? (a) x (b) 3 (c) 0 (d) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 272352792 to the power of 1\/2, to the nearest integer?\nAnswer: 16503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(119))\/sqrt(7) + 0.\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7145, -28574, -64281, -114260, -178505?\n\"Answer: c**3 - 7145*c**2 - c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - 2*g**2 - 1. Let y(z) = 4*z**3 + 7*z**2 + 3. Suppose 0 = -4*x + 3 + 25. Determine x*r(p) + 2*y(p).\nAnswer: p**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -131378 >= -131374?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13325*z**3 + 10851 wrt z.\nAnswer: -39975*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*x**2 + 666*x - 405.\nAnswer: 3*(x + 45)*(5*x - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 343064, 343072, 343080, 343088, 343096, 343104?\n\"Answer: 8*s + 343056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 437*r**5 + 172*r**5 + 53*r**5 + (0*r**4 - 2*r**4 + r**4)*(-3*r + 2*r + 5*r).\nAnswer: 658*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dk when two letters picked without replacement from {s: 2, k: 2, q: 2, h: 1, d: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9.3 - -2.2. Let f = q + -11. Which is the smallest value? (a) 2\/19 (b) f (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 97715 to the nearest 100.\nAnswer: 97700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (((-384)\/4928)\/(8\/(-22)))\/((-207)\/(-126))\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46538, -46645, -46744, -46829, -46894, -46933, -46940?\nAnswer: -46909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 714173\/3 - 238049. Suppose -8\/3*b**4 + 0 - r*b**3 - 22\/3*b**2 - 4\/3*b = 0. Calculate b.\nAnswer: -2, -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0331 + -757389.2\nAnswer: -757389.1669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*b + 33*b**3 + 49*b**4 + 9*b**2 - 32*b**3 - 10*b**2 - 12*b to d*b**2 + u*b**4 + x*b**3 + p*b + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.089 - -297315.614498?\nAnswer: 297315.525498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -34*(-1 + 3\/2). Let g = -12 - q. Let p be 4 - 2 - (8 + -9). Solve -p*c + 15 = 3*n - 0*n, 3*c - g*n = -25 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.09943 * 0.3\nAnswer: -0.029829","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -558, -1097, -1636, -2175, -2714?\nAnswer: -3253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 756230?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 21\/(-14)*16\/(-6). Suppose -3*w + f*w - 27 = 0. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p**3 + 4*p**2 + 2*p - 1. Let n(x) = x. Let l(b) = g(b) - 2*n(b). Calculate l(3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 439830608?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**5 - 126*a**4 - 768*a**3 + 896*a**2 = 0.\nAnswer: -56, -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2989 - -4812. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of 0*q - 3 - 2\/3*q**6 + 0*q**5 + 0*q**4 + 0*q**2 + 13\/3*q**3. Find the third derivative of y(n) wrt n.\nAnswer: -240*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m**(3\/4)))\/m)**(1\/16) assuming m is positive.\nAnswer: m**(-7\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12336134 - 35?\nAnswer: 12336066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3, 2\/5, 8, -351.5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -124*h**3 + 4*h**2 + h - 2. Is 22 a factor of m(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -60 + 86. Let q be (4\/(-6))\/(h\/(-6)). Which is smaller: -0.1 or q?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.4 and 6289521580?\nAnswer: 6289521578.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*g**2 + 10*g**2 - 19*g**2)*(3*g**2 + g**2 - 6*g**2 + (-2 + 0 + 3)*(-g - g**2 + g) - 1 + 1 - 2*g**2).\nAnswer: 150*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 2*u - 3, -4*n - n + 3 = -4*u. Let h be (-2 - (40 + n))*-1. Suppose -2*g = g + 2*z - 24, -5*z - h = -3*g. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a + 3 = -w, 3*a - 3*w = 444 - 435 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/d**(-2\/7)))**(9\/2) assuming d is positive.\nAnswer: d**(-9\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2374, 4746, 7114, 9478, 11838?\n\"Answer: -2*y**2 + 2378*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gygy when four letters picked without replacement from haaohhhghyyaghghgy.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u - 1. Let z(h) = -57*h**2 - 171*h + 171. Let m(l) = -171*k(l) - z(l). Let r(w) be the first derivative of w**3\/3 + 17. What is m(r(b))?\nAnswer: 57*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -197 + 135. Let u = -59 - j. Suppose 7*o = u*o + 476. Is 17 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/15 of a day?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2051760?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**25\/(u*u\/(u*u**13*u*u))*u**(3\/7)\/u**(-19) assuming u is positive.\nAnswer: u**(409\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9 + -32?\nAnswer: -3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/(-25)*-5 - 37\/(-1). Calculate the greatest common factor of d and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 386 (base 14) to base 11\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a**3 - 3*a**2 - 6*a - 7. What is the hundreds digit of f(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41, -180, -319, -458, -597, -736?\nAnswer: -875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 131979 a multiple of 123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -182 and -183 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 106 + (-2 - (-24)\/6*-1). Is 98 greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000112658 to seven decimal places.\nAnswer: 0.0000113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*t**3*w + 9*t**3*x**2 + t**3 - t**2*x**2 - w*x - 2*x + 155 wrt x.\nAnswer: 18*t**3*x - 2*t**2*x - w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2241658810 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l + 744 = -842 + 1522 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (463 - 616)*((-141)\/(-27) - 5).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 2 + -3 + 7 + -7 - 1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 6*r - 21 = 0. Suppose -5*w = r*w - 120. What is the lowest common multiple of w and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 + 13 - (0 - 0)) + -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*z**2 + 66*z**2 + 1 + 3 - 6*z**2.\nAnswer: 66*z**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**16*a*a\/((a*a*a\/a**(2\/15))\/a*a))**(-7\/11)*((a**(12\/7)*a)\/a**(-2\/9))**(7\/10) assuming a is positive.\nAnswer: a**(-7499\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(1\/8)\/h*h*h**(-1\/17)*h*h**(2\/9)*h*h\/((h**(2\/3)*h)\/h*h)*h assuming h is positive.\nAnswer: h**(3209\/1224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/60 and 67\/90.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*p - 0. Let o be -30*3*p\/18. Let u = o - -32. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*h**2 + 24*h**2 + h**3 - 44*h**2.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 794.\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*(10\/8)\/(5\/2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.12, -79\/4, -3, -144\/11, 0.4?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 2*u**2 - u + 1. Let b be (-4)\/(-18) + (-70)\/(-9). Suppose 0 = -4*m - b. Calculate the remainder when w(m) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pgll when four letters picked without replacement from {p: 1, s: 1, i: 4, g: 1, l: 6}.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1448 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 35*k*y**3 + 16546*k*y - 3*k - 18912033*y**3 with respect to k.\nAnswer: 35*y**3 + 16546*y - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*x - 447 = -408 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6818*d + 8615*d + 2251*d to k + v*d and give v.\nAnswer: 17684","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 327 by -23.\nAnswer: -327\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from hcmmc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -120*d**2 - 335*d + 194. Give s(-4).\nAnswer: -386","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*c - 2*c + 20 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 142244320 - -24?\nAnswer: 142244344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -334605127 greater than -334605127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7297?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(68)*-1.\nAnswer: -2*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 596677 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -60*a**2 + 719*a + 15. Determine d(12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/352*-11*0 - 29\/1.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-1)*c)\/(c*c\/(c\/(c\/c**(1\/5)*c*c))))\/((c**(-4)*c)\/(c*c\/c**5)) assuming c is positive.\nAnswer: c**(-14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -720672 - 6?\nAnswer: -720700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11015 divided by -5.\nAnswer: 2203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 3641.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of -3*p**8\/4 + 41*p**6\/15 + p**4\/4 + 23*p**3\/6 - 13*p**2 - 272*p - 2. What is the third derivative of n(z) wrt z?\nAnswer: -5040*z**3 + 1968*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(189) + sqrt(189))\/sqrt(7) + 5*(-4*sqrt(15))\/sqrt(5) + 1)**2.\nAnswer: -46*sqrt(3) + 1588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of 4*z**3 - 26*z**2 + 3\/4*z**4 - 1\/5*z**5 + 48*z - 19. Factor d(p).\nAnswer: -(p - 3)*(p - 2)**2*(p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -16, -56, -120, -208, -320?\n\"Answer: -12*r**2 - 4*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 3*c**2 + c. Let j be i(1). Let x be j*(-2)\/(-12)*3. Solve -4*d = -x*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-74)\/(-20))\/(-37))\/(-1)*-1?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b**2 + 2*b - 2. Let c(z) = 431*z**3 - 4*z**2 + 3*z - 115. Let n(r) = -c(r) + 2*k(r). Find the second derivative of n(h) wrt h.\nAnswer: -2586*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*v - 28 - 18. Solve 0 = -3*n + a + 8, 2*a = 4*n - v*a - 24 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) + -3*sqrt(84))*6*-2)\/((sqrt(1200) - (sqrt(1200)*2 - sqrt(1200)) - sqrt(12)) + 1*sqrt(192)).\nAnswer: 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1821490 less than or equal to -1821485?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -8204 not equal to -8257?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -68\/15849 and -7\/512451?\nAnswer: 1537353","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -25329975, -50659949, -75989923, -101319897?\n\"Answer: -25329974*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9614, 19177, 28740, 38303, 47866?\nAnswer: 57429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of m**3 - 43*m**2 - 4*m - 12740 wrt m.\nAnswer: 3*m**2 - 86*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/(-48))\/(35\/105))\/(8\/416).\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 54, -32, 2, 1, 5, -14 in decreasing order.\nAnswer: 54, 5, 2, 1, -2, -14, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is ((1 - 0)*-4)\/(484\/(-5972923)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 2) + -2 + -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1290255757 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8525?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**5 - 5*v**5 + 0*v**5 + (7 + 4 - 7)*(-3 + 4 + 1)*(-3*v**5 + 4*v**4 - 4*v**4) - 5 + 4*v**5 + 5.\nAnswer: -24*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 7 = 2*d, -3 = -3*m - 3*d + 18. Suppose m*r + r + 5*n = 100, 0 = -3*n. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s. Let p(h) = 3*h**2 - 634*h - 1. Give p(m(q)).\nAnswer: 12*q**2 + 1268*q - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 0.5 (c) 1876\/37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 + -30. Let q be 6 - 110 - (-2 - -3). Let u be 4\/(7\/(q\/n)). Is u greater than or equal to 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1549 is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1294108\/5 or 258823?\nAnswer: 258823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27.74 + -28.14. Let p be (-174)\/(-6) - (-2 + 1). Suppose 0 = -m - 2*m + 5*b - 10, p = 4*m + 2*b. Which is bigger: m or v?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18517 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21567822*a**3*l**2 - 60393*a**3*l + 89*a**2*l wrt l?\nAnswer: 43135644*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/8 (b) -6.621 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -57*w + 1145. Determine c(20).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 + -4 - 4) + 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b - 12 - 99 + 2*b**2 + 21.\nAnswer: 2*b**2 - 3*b - 90","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t + t - 4*t)*(-42*t + 23*t + 34*t) - t**2 - t + t + 3 - 3 + t**2.\nAnswer: 30*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.036, -7, -0.4, 1\/11, -3 in decreasing order.\nAnswer: 1\/11, 0.036, -0.4, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -233, -239, -249, -263, -281?\nAnswer: -303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwuwuuuwxuwxwuu. What is prob of picking 1 u and 1 x?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - z + 13 = -2*z, 2*h - 3*z - 11 = 0. Let i = -96 + 97. Suppose 3*t + i = h. Put -3, t, 0 in decreasing order.\nAnswer: t, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c**4\/5 + 936*c**3\/5 - 1863*c**2\/5 + 186*c = 0.\nAnswer: 0, 1, 310","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-12\/19)*z**(-5)\/z assuming z is positive.\nAnswer: z**(-126\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-68)\/(-119)*-130*1743\/1660.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*y**3 - 6*y**3 - y**3 - 2*y**3 + 3*y**2 - 3*y**2 + (-3*y - 2*y + 3*y)*(2*y**2 - 4*y**2 + y**2) - y**3 + 0*y**2 + 0*y**2.\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -370890 by -124.\nAnswer: 185445\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-16)\/28)*11128\/(-1498)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(-1) - (-20 - (-4 - 17)). Put 0.4, q, 9, 4\/5 in ascending order.\nAnswer: q, 0.4, 4\/5, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1056689 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 3*t**2 + 2*t + 6. Let w be k(4). Let f be 95\/2 - 1\/w. Suppose 0 = -5*m + 7*m - f. Solve -4*z = 4*y - m, -7*z + 27 = 2*y - 2*z for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*z**3 + 1328*z**2 + 11039364*z + 11038032 = 0. What is z?\nAnswer: -1503, -1, 1836","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 11*n**2 + 11*n + 3. Let a be 1\/3 + (-11)\/(-3). Let q(j) = -8*j**2 - a*j + 5*j**2 - 1 - j**2 + 0*j. Determine 3*c(l) + 8*q(l).\nAnswer: l**2 + l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16055)\/62491 - (1 + 4)\/55.\nAnswer: -8\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = x + 2*u, -4 - 7 = x - u. Let w(m) = -21*m - 3. Let p be w(-3). Is 10 a factor of 27\/x*p\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 11 = -j. Let b(o) = 11*o**2 - 3*o - 15. List the prime factors of b(j).\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4248, -4239, -4224, -4203, -4176, -4143?\nAnswer: -4104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 123598112639 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4 + 1902233*f**3 - 1902234*f**2.\nAnswer: f**2*(f - 1)*(f + 1902234)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1043836556?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of 10*a**7\/7 + a**6\/60 - 7*a**5\/20 + a**3\/2 - 1015*a**2 + a - 1. What is the third derivative of u(r) wrt r?\nAnswer: 7200*r + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91.44501g to tonnes.\nAnswer: 0.00009144501","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 27*q**4 + 1364*q + 100918?\nAnswer: 108*q**3 + 1364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2aa + 8?\nAnswer: -2a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1679446 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1178238631 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 4*z + 20 = 0, -4*k + 7*z - 2*z = -57. What is the greatest common factor of 72 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -956151500 rounded to the nearest one hundred thousand?\nAnswer: -956200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 1, -12, -4, 155.\nAnswer: -12, -11, -4, 1, 155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 16*k**2 - 1. Let d(c) = -2*c**2. Determine t(d(b)).\nAnswer: 64*b**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1965)\/(-1834)*(252\/(-735))\/((-4)\/(-14))?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47393*w - 16249 = -47593*w + 3951 for w.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 3 + 1. Let h be (2 - 93\/(-21)) + 12\/(-28). Suppose 2*r + 1 = s + 5, 3*r - h = s. Solve n*i - 14 = -s*i - b, 3*b = -5*i + 21 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -457, -459, -461?\n\"Answer: -2*y - 455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.128 in -3\/4, 0.11, -2\/9, 2?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3*1)\/(1*4\/(-44)). Let n be ((-374)\/o - -12)\/((-2)\/(-3)). Which is the second biggest value? (a) 5 (b) -9 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1945 <= -2016?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -36864 less than -1488?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -8*h**2 + 3*h. Let n(t) = 7*t**2 - 4*t. Let z(b) = 4*d(b) + 3*n(b). Let w(x) = x**2. Determine w(z(s)).\nAnswer: 121*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 4*f = -4, s - 3*f = -s - 3 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w**3 + 5*w**2 - 5*w - 5. Suppose -6 - 3 = -3*h. Let y(f) = -3*f + 4. Let k be y(h). Let m(o) = o**3 - 2*o**2 + 2*o + 2. What is k*m(x) - 2*c(x)?\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 t when three letters picked without replacement from ttqtttqttttttttttqti.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -2647 (c) -0.159\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 8 - 2)*(j - 4 + 4)*(-1 + 0 + 0)*(-3 - 1 - 1).\nAnswer: 25*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1101010011011010111 (base 2) to base 5\nAnswer: -102422202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = u - 3*y - 14, 4*y = 5*u - 40. Find the second derivative of l**3 + 4*l + l**3 + u*l**2 - 4*l**2 wrt l.\nAnswer: 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0*(-4 - (-51)\/12). Suppose h*r - 3*r + 99 = 0. Suppose 3*t = 27 + r. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of 15*v**3\/2 + 768*v. Let z(s) = -7*s. Calculate z(l(n)).\nAnswer: -315*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 23582920 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 5*v**3 + 262995*v**2 + 3458449995*v + 3458187005 = 0.\nAnswer: -26299, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 11 = -2*t, 3*t - 21 = -2*q + 5*q. Let a be t\/9 + (-2370)\/(-27). Suppose 0 = -o + 1 + 7. What is the greatest common divisor of o and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 r when three letters picked without replacement from iierieie.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a - 6. Let g be z(-7). Let y(p) = -19*p + p**2 - g + 18*p + 1. Let c(h) = 2*h - 1. Let q(v) = -3*v**2 + 1. Let w be q(-1). Calculate w*y(r) - c(r).\nAnswer: -2*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*f + 19 = 49 + 90 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**2 + 24149*c - 773792 = 0.\nAnswer: -24181, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42603 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 336 is divided by 120.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -l**5\/6 - 944*l**4\/3 + 7573*l**3\/3 - 6948*l**2 + 15165*l\/2 - 2844 = 0.\nAnswer: -1896, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*d + 6 = -18*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*t**3 + 33 - 33 - t**2 + t**2 - 2*t**3 + (-1 - 3 + 1)*(-2*t**3 + 7*t**3 - 3*t**3) to the form z*t + b*t**3 + x*t**2 + w and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35 - -41. Factor -54*b + 8*b**3 + 27*b**2 + 15*b**4 - i - 5*b**3 + 51*b + 36*b**3.\nAnswer: 3*(b + 1)**3*(5*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 2519\nAnswer: -2\/2519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -5.6. Let x = i - 0.2. Let q = -2 - 0. Put q, 3, x in increasing order.\nAnswer: q, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of 6581*m**3\/3 + 6449*m**2 + 8*m + 202. Differentiate z(u) with respect to u.\nAnswer: 13162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of h**7\/840 - h**6\/90 + h**5\/60 + 5*h**4\/24 + 7*h**3\/6 - 4*h. Let l(m) be the second derivative of d(m). Calculate l(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29512 and 155.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -202221202022221 (base 3) to base 4.\nAnswer: -222132223210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 144989*h**3 + 83227*h**2 wrt h?\nAnswer: 869934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 3 = m. What is the remainder when m is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1134 - 831. What are the prime factors of i?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (0 - -7 - 4) + 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 98243653 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*r - 5 = -20*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*6*(990\/308 + (-1)\/28*6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.52 - -0.5. Let h = w - 31.98. Let f = h - -32.0095. Round f to 3 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192981 = 28*t + 29741. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -25.\nAnswer: 7.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -6 + z + 0*z - 12*z**3 + 142*z**2 - 148*z**2 + 5*z - z**3. Let l(b) = -14*b**3 - 7*b**2 + 7*b - 7. What is -6*l(i) + 7*q(i)?\nAnswer: -7*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 154, -2\/7, -0.3, -4\/12017?\nAnswer: 154","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + (-1 - (-4 + 4)). Let w be (-2)\/(-10) + (-1 - (-497)\/(-35)). Let k be (-40)\/w*(-1)\/(-6). Do k and m have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*l - 21*l - 9 = 0. What is the derivative of 8*x**l - 19 + 5 + 7 + 33 wrt x?\nAnswer: 24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39, -84, -129, -174, -219, -264?\nAnswer: -309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 708954967 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-10))\/(((-24)\/(-4))\/(-6))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -380980091*f**6 + 1512*f**2 + 70591*f?\nAnswer: -45717610920*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2655132597?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 67809\/10 - 33882\/5. Factor -g*p - 3\/4*p**2 + 12.\nAnswer: -3*(p - 2)*(p + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -25*r**2 + 122*r + 2. What is w(5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 1 + 1 + 0*l)*(271 - 271 - l).\nAnswer: 2*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50 and 110540.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -3. Let z be 0 - o*142\/(-1). Suppose -x + z = 3*y, 5*y - y - 198 = 3*x. What is the highest common factor of 16 and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 9:37 PM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**5 - 1140*p**4 + 112755*p**3 - 3436830*p**2 + 6539940*p - 3214728 = 0.\nAnswer: 1, 66, 246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6020 or 6016?\nAnswer: 6016","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 393183859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -21374ee - -4?\nAnswer: -21374ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -137144, -274288, -411432, -548576?\nAnswer: -685720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*i = -14443 + 66103. Is 82 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -9*r**2 - 3*r + 9. Let n(b) = 8*b**2 + 2*b - 6. Let i(q) = 3*n(q) + 2*w(q). Let d(c) = -3*c + c**2 - 4*c**2 + c - 2*c. Give i(d(l)).\nAnswer: 54*l**4 + 144*l**3 + 96*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12349337*s = 12349234*s - 2983 + 7412 for s.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1333 + -1333.2. Which is the second biggest value? (a) z (b) -4 (c) 43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 2, -5, 1.1624309 in descending order.\nAnswer: 2, 1.1624309, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 2, -1, -6, -4, -115 in increasing order.\nAnswer: -115, -8, -6, -4, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -34250 less than or equal to -34193?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(3\/7))**(-21)\/(j\/j**(-2\/43))**(4\/19) assuming j is positive.\nAnswer: j**(-7533\/817)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -18\/5, 2, 7\/5, 2\/13, 0.37 in decreasing order.\nAnswer: 2, 7\/5, 0.37, 2\/13, -18\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110 - -12?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 4) to base 12\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of -m**5\/20 + m**4\/8 + 5*m**3\/6 + 235*m**2 + m. What is f(-2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29 - 27. Suppose 0 = -v*t + 3*o - 2, 2*t + 22 = 4*t + 3*o. Solve 0 = -5*c - z + 14, 25 - t = 4*c + 3*z for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -161\/3, 3, -2 in descending order.\nAnswer: 5, 3, -2, -161\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - (-10 - (14 + -20)) - -43.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 + 19*q - 17)*(22*q**4 + 0*q - 4*q + 2*q).\nAnswer: 418*q**5 - 38*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from rrrrrzrbzzrzz.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -74*k**2 + 8*k**2 + 0 + 68*k**2 + 0. Let i(g) = -3070*g - 1. Calculate i(h(r)).\nAnswer: -6140*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29 + 8. Let i = 21.0000097 + b. Round i to six dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 117680, 471520, 1061526, 1887704, 2950060?\nAnswer: 4248600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + q + 5426 = 5443, 5*n + 3*q = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 d when two letters picked without replacement from mgmmmmdemzeedmem?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-1)*d\/(d*d*d\/(d*d\/(((d*d**(-5))\/d)\/d*d))))\/(d*d**(2\/3))**(-28) assuming d is positive.\nAnswer: d**(155\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, k: 2, g: 6, y: 4, a: 3}. What is prob of sequence myyg?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 169 and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22810 and 5410.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 greater than or equal to 240\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -545*p - 228*p + 7*p = -16852 for p.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1088) - (-5*(2 + sqrt(1088)) + sqrt(1088)))*-6)**2.\nAnswer: 28800*sqrt(17) + 982800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 5:46 AM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**2 + 9*b + 1. Let t be l(-2). What is the hundreds digit of (275 - -18) + (-12)\/t*3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/5 - (-24)\/45. Which is the closest to t? (a) 1 (b) -2\/11 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1117?\nAnswer: 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 5:40 AM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 + 13*s + 4. Let q = -27 + 13. List the prime factors of b(q).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 5*w**3 + 9. Let p(o) be the first derivative of -o**4 - 8*o - 8. Let q(x) = -5*m(x) - 6*p(x). Differentiate q(d) wrt d.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 187, 5, 4, -2 in descending order.\nAnswer: 187, 5, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.6 times -8?\nAnswer: -164.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71249900.\nAnswer: 2, 5, 712499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3.299 times 47.62\nAnswer: 157.09838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -20*b**3 + 8*b**2 + 8*b - 21. Is 91 a factor of z(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12*147\/(-9)*(-142)\/8 is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -882, -1761, -2650, -3549?\n\"Answer: -5*w**2 - 864*w - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 345.5 and -0.2.\nAnswer: 345.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of -8*c - 9\/20*c**5 - 5\/6*c**3 - 5\/12*c**4 + 7\/2*c**2 + 0. Let p(g) = 5*g**3 + 3*g**2 + 3*g - 4. Calculate -5*p(v) - 3*q(v).\nAnswer: 2*v**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g*v**4 - 17*g*v**3 - 84*g*v - 9*g + v**4 + 2*v wrt v?\nAnswer: -12*g*v**2 - 102*g*v + 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 233 to the power of 1\/2, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1637 less than 5?\nAnswer: 4.8363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -49 at least 49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2 - 173752*p.\nAnswer: -4*p*(p + 43438)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(50) + -1 - (sqrt(150)\/sqrt(3) + 1)) + -1 - (-3 + -2*sqrt(98) + (1*sqrt(2)*-3 - 2*sqrt(50))))**2.\nAnswer: 270*sqrt(2) + 1483","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 96 - 93. Solve b*d = -d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k - 4. Let a be r(6). Let w(q) = -q + 6. Let o be w(6). Suppose o = -5*u + 4*u. Is a less than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16577 - 596819\/36. Let g = 14\/9 + i. What is the closest to 1 in -1, -4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -r**3 - 6*r**2 + 6*r**2 - 16*r + 150*r**4 - 23 + 24 + 19*r in the form v + d*r + x*r**4 + l*r**3 + p*r**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17698?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/12)\/(3\/(-16)). Let v be (-5432)\/(-291) - (22 + -3). Which is the smallest value? (a) -2\/7 (b) 7 (c) h (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - 9*t - 7. Let g(p) = -p**2 - 5*p + 8. Let x be g(-7). Let n(y) = y - 5. Calculate the remainder when i(x) is divided by n(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 21\/2 + (-4)\/8. Solve 0*v = 2*v + k for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35 + (-40 - (31 - 72))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -122, -4, 7, 455\/8, 0.4, 0.2?\nAnswer: -122","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 257*s + 9614 = -249*s for s.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 60841872 to the power of 1\/2, to the nearest integer?\nAnswer: 7800","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -48 - -25 - (-48 + 14)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1083 = 3*u - 4*z, -2*z + 6*z - 1107 = -3*u. Let t(h) = h**3 + h + 1244. Let v be t(0). Let r = v - u. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 + 6*i**2 + 5*i + 2. Let b be h(-5). Let r(w) = 3*w**2 + b*w - w**2 - 3 + 2. Is r(2) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - j - a = 0, 3*j + 5*a = 0. Suppose j = 2*v - 4 + 20. Let s be (-1 - -2)\/((-4)\/v). Solve -s*r = -5*r - 15 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9954579427.\nAnswer: 13, 19, 383, 105227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 5*k**2 - 5*k + 2. Let o be h(-4). Let q be (-6)\/10 - 234\/(-15). Suppose -i + 5*z + 1 = -2, -5*i + 15 = z. Solve i*w - o*w = -q for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1242.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -4, -1\/4, -0.4, 0.2 in ascending order.\nAnswer: -19, -4, -0.4, -1\/4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 + 1764 + -4 + 0\/1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152129670 a multiple of 330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4178802724?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 14 = -18. Let d(z) = -11*z**2 + 11*z + 14. Let k(h) = -7*h**2 + 7*h + 9. Let u(q) = 5*d(q) - 8*k(q). Let r be u(n). Is r smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -21 (b) 1\/3 (c) 4 (d) -38\/91\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -0.95. Let g = 0.008 - -0.142. Let k = m + g. Sort 1\/3, 3, k.\nAnswer: k, 1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -50*a + 753. Let h be l(15). Let g(i) = i**2 + i**2 + i + 4*i**2. Let s be g(-1). Solve -5*y + x + 3 = 0, -y - s*x - 12 = h for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 4*j**2. Let q(y) = 65*y**2 - y. Calculate q(c(f)).\nAnswer: 1040*f**4 - 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkk when three letters picked without replacement from {k: 7, a: 6}.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -1185\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 21, 2, -1, 0, 51 in increasing order.\nAnswer: -1, 0, 2, 3, 21, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 6*v**2 + 8*v - 1. Let c(o) = -3*o**3 + o**2 + 2*o + 1. Let l be c(-1). Suppose -4*a - 2 = -l*a. Let h be r(a). Solve 5*w = 2*w - h for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -2\/233, 15, 2.\nAnswer: -1\/2, -2\/233, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 200 - 7523. Let f = -3332 - h. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.2 - -0.26. Let v = 7.06 - a. Is -0.1 smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = v. Suppose v = -9*j + 7*j + 16. Let d = j + -5. Which is smaller: 4 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/(-3)*(-2)\/95. Let g = -183473 + 183472. Is g greater than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -726 + 723. Which is the fourth biggest value? (a) x (b) 5 (c) 0.3 (d) -17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98924 is divided by 9873.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60969950 is divided by 247?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -431 + 1142 = 493*p - 6191 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 60892 by 1171.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 16) to base 13\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of -c**6\/35 + 3*c**5\/70 - 2*c - 4922. Factor m(l).\nAnswer: -6*l**3*(l - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 + 0 + 1)*(3*i - 4*i + 0*i)*(-3*i**2 - 3*i**2 + 0*i**2) to the form k + m*i**2 + o*i**3 + y*i and give o.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111634625.\nAnswer: 5, 163, 5479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-70350)\/(-98) + (-2 - 45\/(-21))?\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175751 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 5*d + 48. Let z(m) = -7*m - 46. Determine -4*i(f) - 3*z(f).\nAnswer: f - 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 12*a + 16. Let f(w) = -4*w - 5. Let l(m) = -16*f(m) - 5*h(m). Let o = -2 + 2. Let n(y) = y + 0*y + o*y. What is l(n(p))?\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23 - 29) + (-2964)\/(-481)?\nAnswer: 6\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + 6*g**2 + 1. Let d be m(6). Let u = d - -3. Let h(y) = -2*y**2 + 18*y. Let z be h(9). Put 5, z, u in increasing order.\nAnswer: z, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -23*r**3 + 4*r**3 + 2*r - 765 - 351 - 49*r**3 + 2*r**2 wrt r.\nAnswer: -204*r**2 + 4*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 + 2*u)*(1 - 1 - 3) - 5*u + 2*u - 4*u)*(5 - 5 + 10*u).\nAnswer: -130*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1757541 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*c**2 + 2*c**2 - c + 14*c**2 + 17*c**2 as m*c**2 + p + k*c and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1459 - -2288. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 2*a - g, 16*a - 14*a + 9 = 3*g for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 738?\nAnswer: 8118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u + 16 = 11*u. Solve u*d - 4 = -16 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 545 = 7*g. Suppose 5*a = 4*y + 2*a - 111, -4*y = -a - g. Solve y - 7 = 4*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 1038 = 3*u - 177, -u + 375 = -5*h. Round u to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1902502 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 196995 a multiple of 301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 6*t - 10. Let u = 44 - 49. Let g(x) = 7*x - 12. Let w(b) = u*g(b) + 6*r(b). Suppose -16 = -5*a - 4*p, 0 = -4*a + 8*a - 4*p + 16. Calculate w(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of -s**6\/105 + s**5\/70 + s**4\/21 - 28*s. What is y in v(y) = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at least 470?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 580 and 16?\nAnswer: 2320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0024 - -468.9976. Let y = 591.24 - q. Let f = y + -116. Round f to 0 decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2954?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -202 (base 4) to base 12\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/1114092 and 43\/212208?\nAnswer: 4456368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m. Let b(v) = -7*v. Let z = 336 - 340. Calculate z*b(a) + 18*x(a).\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/142891683 and 83\/363?\nAnswer: 142891683","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - 4*c**2 + 3*c - 4. Give d(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-231)\/(-44))\/((-696)\/(-58))*20\/(-14).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (5 - 8 - -8)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 AM and 3:58 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 + 26 - 12 + 3 + 191*h.\nAnswer: 191*h - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/53 (b) 3 (c) 2\/31 (d) 461.4 (e) -2\/7 (f) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*i = -11*i - 24 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*t + 32 - 14. Which is the closest to -0.1? (a) 5 (b) -5 (c) 4 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -16844?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.19512 to 2 decimal places.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5566, 11123, 16676, 22225, 27770, 33311?\n\"Answer: -2*k**2 + 5563*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32 (base 10) to base 16.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*s*v**3 - 155*s*v**2*x**2 - 19*s*v**2*x - 3*s - 2*v**3*x**3 - 4*x**3 + 1 wrt x.\nAnswer: -310*s*v**2 - 12*v**3*x - 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f - 2*f + 3*f)*(-9*f - 115 + 7*f + 4*f) - 5*f**2 + 3*f**2 - 8*f**2.\nAnswer: -16*f**2 + 345*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from cnznzhzcnzzczzcjjn?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5082, 5180, 5352, 5604, 5942, 6372?\n\"Answer: v**3 + 31*v**2 - 2*v + 5052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 400694852 - 74776.\nAnswer: 400620076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -12, -1.22 in decreasing order.\nAnswer: 5, -1.22, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -8*h + 36. Let q(u) = 18*u - 71. Calculate -6*q(b) - 14*v(b).\nAnswer: 4*b - 78","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.085 - 50.915. Let s = w + 52. Which is bigger: s or -24?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(1\/33))\/(m*m**18))**(5\/16) assuming m is positive.\nAnswer: m**(-2975\/528)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -4*o**5 + 732*o**4 - 7068*o**3 + 25844*o**2 - 41664*o + 24912 = 0.\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/10*2*-5. Let m(y) = -4*y + 15. What is the tens digit of m(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of -w**6\/15 - 259*w**4\/12 + 3043*w**3\/3 + 6*w**2 - w - 17. Differentiate y(m) with respect to m.\nAnswer: -24*m**2 - 518","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of -r**2 + 0 - 1\/6*r**3 - 1\/20*r**5 + 1\/3*r**4 + 6*r. What is u(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23.12 - 20.5. Let m = d + -3. Let r = -0.48 - m. Do r and 0.5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6436 + -6433. Put u, -1, -10, -5, -3 in increasing order.\nAnswer: -10, -5, -3, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13233759839 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 64.46229t?\nAnswer: 64462290000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 - 34*d - 41. Let p(g) = 14*g + 13. Give -2*c(l) - 7*p(l).\nAnswer: 2*l**2 - 30*l - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -41 * -18363.\nAnswer: 752883","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150673 is divided by 660?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-2871)*-2*429\/(-13).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 4*h**3 - 2*h**2 - 6*h - 3. Suppose 98 = -2*i + 104. Is z(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1655 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of k**2*r**3 + 2*k**2 + 431*r**3 - 736*r**2 wrt r?\nAnswer: 6*k**2 + 2586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 86923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - ((-8 - -2) + 3). Suppose 2*m - j*a = 60, m + 0*m - 15 = -a. Calculate the remainder when m is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -19*f - 664. What is t(-34)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (135 - 58 + 80)*(-n**3 + 0*n**3 + 3*n**3).\nAnswer: 314*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m + 1 = -8. Sort 0, -4, -2\/7, m in increasing order.\nAnswer: -4, -2\/7, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -377806\/7 + 53866. Let f = -106 - i. Let g = 5 - 5. Which is the second smallest value? (a) g (b) 2\/19 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away 2056193?\nAnswer: -2056192.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -5*d - 16. Suppose 2*m - 30 = 5*g, 2*g + 0 - 17 = -5*m. Let z(j) = -j + 3. Let x be z(m). Let f(k) = -k - 3. Determine x*t(u) + 11*f(u).\nAnswer: -u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 203\/(-49)*(-17328)\/13224?\nAnswer: 38\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is d0 (base 16) in base 2?\nAnswer: 11010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -872, 0, 3, 2, 182 in increasing order.\nAnswer: -872, -3, 0, 2, 3, 182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 316 + -317.04. Which is greater: -2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -175529778*q**4 + 220578*q + 291.\nAnswer: -2106357336*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21518*m**2*r**2 + 9733200*m**2 - 2*r**2 - 4*r with respect to r.\nAnswer: -43036*m**2*r - 4*r - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by 30.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 115.818 + -1.818. Which is greater: x or 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvsvvvvssvsvvvv. What is prob of picking 2 s?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -10416, -22643, -34870?\n\"Answer: -12227*m + 1811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.657 to zero dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (1920\/504)\/(-40)*6\/(-4)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2917790 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(1\/(-2)*3). Suppose 3*f + 10 = -4*t - 0, f - 2 = 0. Let v be ((-11)\/(-11))\/(2\/t). Sort l, v, 1.\nAnswer: v, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 176 and -0.03.\nAnswer: -5.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1116)\/620 - (2 - (-454)\/(-5)). Let y be (-130)\/(-4)*-1*2. Let q = y + g. Calculate the highest common divisor of q and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -641*p = -306*p - 294*p + 697 for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.4 in -2\/5, -1\/2, -1, -5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c**3 + c + 2. Let d be g(-1). Suppose -d*s - q + 13 = -3*q, 5*s + 5*q - 30 = 0. Solve s*n - 3*v = -0*v, n = 4*v + 17 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.9 + 6. Sort -2, -2\/3, c.\nAnswer: -2, -2\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 851677726.\nAnswer: 2, 1063, 400601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*o + 28 = 141*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 4*d**2 - 2*d**2 - 4*d**2 - 34*d - 30. Let t be q(-16). Suppose -57 = t*u + 95. Is u less than or equal to -77?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6980*-0.4\nAnswer: -2792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 12 + 16. Let o(i) = -3*i**3 - i**2 + 2*i + 2. Let z be o(-2). Suppose -z = -4*x + v. Is 3 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3023145?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 + 16. Suppose 0 = -14*z + 22 + 48. Suppose z*b = -0*b + 20. Put -1, b, d in decreasing order.\nAnswer: b, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.6 + 1.88. Let z = s + -0.08. Let j = z - 1. Which is bigger: j or -1\/4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(3\/13)*y*y**(-9)*(y**(5\/6))**(-40) assuming y is positive.\nAnswer: y**(-1603\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 5*b + 2 = 3*y, 0 = 5*y - 174*b + 166*b + 1 - 11 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 4*v - 2 = 8, 0 = 5*o - 4*v - 30. Find the third derivative of 20*n**2 - o*n**5 - 2*n - 41*n**3 + n**2 - 5*n**2 + n**5 wrt n.\nAnswer: -60*n**2 - 246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*r + 2*j + 50, -r = 2*r + 17*j + 7*j - 56 - 76 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -85 - -91. Let u(n) be the third derivative of 0*n**g - 1\/60*n**5 + 0*n + 1\/210*n**7 + 0*n**4 + 0 + 0*n**3 - 2*n**2. Suppose u(k) = 0. What is k?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13822.9 - -13823. Let r be (-4)\/(-14)*14\/6. What is the closest to 0 in s, -0.9, r?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -666*i - 393*i + 14054 = -37837 for i.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.09 - 0.19. Let q be (-20)\/(-70) - (-17)\/14. What is the second smallest value in q, v, -2\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (462\/(-7))\/(3\/(-13)). Let g(s) = -s**3 + 14*s**2 + 21*s - 46. Let k be g(15). What is the highest common divisor of k and i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/40 and -65\/2.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3\/7 + 41*j**2\/7 - 522*j\/7 + 88.\nAnswer: (j - 7)*(j + 22)*(3*j - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 23*c**2 - 1. Let q = -5 - -10. Suppose -o + q*k + 9 = 0, 6*o + 2*k = o - 9. Does 2 divide u(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -139 - -211. Suppose -4*w = 36 - t. Solve -2*x - 3*x = -a + w, a = 4*x + 8 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*h**3 - 3*h**3 - 12*h + 2*h**2 - 2*h**3 - 4*h**3.\nAnswer: 2*h*(h - 2)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 divided by 1.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 4)*(3*b - b**2 - 3*b) + 2*b**2 + b**2 - b**2 + (-8*b - 8*b - 17*b)*(3*b - 5*b + 9*b).\nAnswer: -227*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 7:06 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1181, 1101, 957, 749, 477, 141, -259?\n\"Answer: -32*d**2 + 16*d + 1197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a decade in months?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o**3 + 7*o**3 + 5*o**3 + o**2 + 0*o**2 to h*o**2 + z + s*o + i*o**3 and give i.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, -2, -0.051, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-4)*v\/(v*v\/v**3))\/(v*v**6\/v*(v\/v**(2\/3))\/v))**(-3))**1 assuming v is positive.\nAnswer: v**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of -2\/15*v**3 - 1\/5*v**2 - 1\/30*v**4 + 2*v + 0. Find p such that h(p) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 202533026?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 39 - 132. Let v = 39 + m. Suppose -3*b + v = -1. Solve -5*i = -3*g + 32, -3*g - 24 = -6*g + b*i for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86524 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -11255663 (base 7) to base 4\nAnswer: -3301123001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/4, 3, -0.3, 0.039, -2\/45 in decreasing order.\nAnswer: 3, 0.039, -2\/45, -0.3, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1256*-0.01.\nAnswer: 12.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/6 + 96\/36. Let n = k - 2. Suppose 3*z - 2 - 10 = n. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23112 - -111121?\nAnswer: 22003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -44b28 (base 16) in base 6?\nAnswer: -10010412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 13225, 54073, 122163, 217501, 340093, 489945, 667063?\n\"Answer: t**3 + 13615*t**2 - 4*t - 387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 - 2 - 3\/6. What is the closest to 1 in b, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1121\/3 + 793\/2. Find the common denominator of 12\/16 + (129\/132)\/(-1) and n.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2*r = -140, 6*r - 7*r = a - 35. Which is greater: a or 378\/13?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2375 a factor of 49265279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v**2 + 1 + 2*v**2 + 4 + 1.\nAnswer: -2*v**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 14 = 3*x - t, 4*x - 16 = -4*t. Suppose l = -2*b + 185, -4*l + x*b + 230 = -530. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 29*u + 144. Let g be w(-5). Calculate the smallest common multiple of -5 + 32 - (1 + g)\/(-1) and 1.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3474?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 174 - 551. Let o = x + 514. Let t = -242 + o. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13427 and 3811879.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -90 - -141. Let m = i - -59. Let k(u) = u + 22. Let v be k(-12). What is the highest common factor of m and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1*(-5 + (-5 + (1 + sqrt(2448) - sqrt(2448)) - (-4 + sqrt(2448)*1))) + 3)**2.\nAnswer: 2448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58883, -117690, -176431, -235106, -293715?\nAnswer: -352258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 128777 divided by 561?\nAnswer: 11707\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 2)*(-61 + 2031*v**3 + 178 - 117) + 2*v**3 + 0*v**2 + 0*v**2 to the form b + x*v**2 + p*v + r*v**3 and give r.\nAnswer: -4060","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 11*k**2 - 38*k**2 + 15*k**2 + 15*k**2. Let i(j) = -64*j**2. Determine i(c(n)).\nAnswer: -576*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 114*x - 18. Let i(q) = -1. Let a(k) = 5*i(k) + t(k). Let o be (-3 - (-8)\/2)*(-6 - (-7 - 1)). Is a(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l. Let x(r) = 3*r**3 + r**2 - 1. Let v be x(1). Suppose -5*n - 3*p + 22 = 0, -4*n - 1 = -p - 5. Let t(h) = -3*h + v*h - 3*h**n. What is k(t(q))?\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 - 14*h**2 + 9*h + 33. Let r be g(-15). Calculate the highest common factor of r and 82.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/8 of a kilometer?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 7*p**2 + 4*p + 2. Let l(c) = c**2 - 8. Let x be l(5). Let v = x + -26. Let w be f(v). Round w to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 166 and 1647301.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 240 and 112.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 7. Suppose -2*i - 2 + 8 = k. Solve 0*f = -f - i for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5312\/11 - 482. Suppose 2*f**3 - y*f + 12\/11*f**4 - 4\/11 + 4\/11*f**2 = 0. Calculate f.\nAnswer: -1, -1\/2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -3 (c) -4\/5 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14030 - 14038. What is the closest to f in -1\/4, 0.1, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/4 - 6719*p**2\/4.\nAnswer: p**2*(p - 6719)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44*y + 97*y - 8*y)*(-6 + 1 + 2).\nAnswer: -135*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*s - 7*s**2 + 0*s**4 + s**4 - 2 + 5*s**2 - 4*s**4 to g*s**2 + d + p*s + w*s**4 + z*s**3 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0428166 millennia to months.\nAnswer: 513.7992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 857 - 857.02. Which is the nearest to i? (a) 1\/4 (b) 0.5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -7*h**2 + h - 1. Let f(j) = -8*j**2 + j - 1. Let k be 584\/120 + (-6)\/(-45). Give k*f(s) - 6*u(s).\nAnswer: 2*s**2 - s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + j. Let d(h) = -h**2 - h + 127. Is d(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71777*t**3 + 202558*t**3 + 263812*t**3.\nAnswer: 394593*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.04968 and -6179915.\nAnswer: -6179915.04968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -181114, -362386, -543818, -725410, -907162, -1089074?\n\"Answer: -80*j**2 - 181032*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3\/4)*o\/((o**5*o)\/o))\/(o**(-1\/11)*o**3)*((o*o\/(o\/(o\/o**(2\/3))*o)*o)\/((o*o**4)\/o))\/(o**0*(o*((o*o**2)\/o)\/o)\/o) assuming o is positive.\nAnswer: o**(-1495\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 468.4 - 529. Let i = -61 - p. Let r = 37\/5 + -38\/5. What is the third biggest value in i, r, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 5*j**4 - j**2 + 5. Let b(r) = 2*r**4 + 3. Let u(m) = -3*a(m) + 5*b(m). What is the third derivative of u(s) wrt s?\nAnswer: -120*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*a + 20. Let o = -6 - a. Is 2 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25560 divided by 1278\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8656 is divided by 59?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-17 + 5442)*(1 - 2). Find the common denominator of 2\/(-14) + u\/(-588) and 2\/7 + 522\/(-112).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43391 = -1051*h - 8108 for h.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**11*q**(-3\/17)*(q\/(q\/q**(2\/15)))**40 assuming q is positive.\nAnswer: q**(824\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1542 at most 1560?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3462 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -0.1, 2\/5 in decreasing order.\nAnswer: 6, 2\/5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(4\/7)\/u**12*u*(u*u\/u**2*u)\/u*u**(3\/7))**(-31) assuming u is positive.\nAnswer: u**310","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5896 + -5896.5. Which is the fourth smallest value? (a) -2 (b) 2\/3 (c) 19 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -22*z - 1331. What is the remainder when 42 is divided by c(-62)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/31, -5, 3\/8, -1\/11, 3\/2?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 1980 = -3*q. Let s = -63 + 80. Suppose -484 = -s*f + 6*f. What is the highest common divisor of f and q?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -q - 2*q - 2 + 2*q in the form x*q + u and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4980)\/(-18) - 0)\/((-2)\/(-39)). Let g = z + -2628. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1774059.\nAnswer: 3, 7, 23, 3673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*t - 71*t + 3*b = -26, -2*t + 46 = -5*b for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 22 = 5*q, 3*q + 2 = 4*m - 17. Let c be (-5 - -4)*8\/1. Let w = c - -13. What is the second biggest value in 1\/2, m, w?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**3\/4 + 125*o**2\/4 - 1341*o\/4 + 1215\/4 = 0. Calculate o.\nAnswer: -135, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 2c?\nAnswer: 2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 4*((-5*-2*sqrt(162)*-1)**2 - (0 + (-1 + sqrt(162) - sqrt(162)) + 2 + -1 + sqrt(162) + sqrt(162))).\nAnswer: -72*sqrt(2) + 64805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r + 172 = -5*r. Suppose -9 = -2*l + r. Solve 5*x - l = -2*d + d, 3*x - 20 = -5*d for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 5. Suppose -3*w + 5 = -d. Suppose -w*y = -11 - 13. Solve 0 = 5*s - p + 4, 4*p = p + y for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l - 5. Let o be r(9). What is the second smallest value in 6, o, -1\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(2304) + -2*sqrt(2304))\/sqrt(8) - ((sqrt(22)\/(sqrt(11) - (sqrt(11) - sqrt(11)*-4) - sqrt(11)))**2 + 0)).\nAnswer: 2\/5 + 60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = -5*s - 54, -2*s + 1009 = -3*z + 518 + 531 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/15 in -0.57, -9, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, p: 9, n: 1, o: 8}. Give prob of sequence np.\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 12721, 25452, 38171, 50878, 63573, 76256, 88927?\n\"Answer: -6*w**2 + 12749*w - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 + 68*z**2 - 528*z - 179. Let q be a(59). Put 0, 1, q, 43 in descending order.\nAnswer: 43, 1, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 108*b**2 + 9*b + 9. Let o(n) = 27*n**2 + 2*n + 2. Let g(l) = -9*o(l) + 2*u(l). Let r(a) = a. Calculate r(g(t)).\nAnswer: -27*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 7*y. Let f(g) = g - g - 6*g - 2*g. Calculate j(f(h)).\nAnswer: -56*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5.06 and 3.\nAnswer: 15.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of k**8\/252 + 8*k**7\/105 + 19*k**6\/90 - 4*k**5\/15 - 10*k**4\/9 - 559*k**2. Find z such that t(z) = 0.\nAnswer: -10, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of 30 + 0*s + 0*s**2 - 1\/3*s**3. Let o(c) = -12*c. Give o(v(p)).\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 3*k - 23 = 6*y, 0 = -4*y + 2*k - 18 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o - 5. Let j be k(5). Let h(s) = s**3 + s**2 + 2. Let b be h(j). Solve -6 = -2*i + b for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/2*25\/((-375)\/18). Is t smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 465676364?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9722681 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12831 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 3*l - 203 = 0, 2*h - 39 = l + 43. Calculate the remainder when h is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 61089951 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2035 and 41824615?\nAnswer: 460070765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 76880810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 246368?\nAnswer: 2, 7699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -2. Suppose 2*n = -n + 5*u + 11, -n = 4*u - 15. Let c = 7 - n. What is the nearest to c in 0, g, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.4 and -15698.3107109?\nAnswer: 15697.9107109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1352 = -227*n + 58*n for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 AM and 3:01 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from sssxxxxxssxssxssxxxx?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -55 - -58. Suppose u*j = 5*j - 2548. Suppose j + 553 = 9*t. What is the highest common factor of 29 and t?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -46.3 and 5327?\nAnswer: -246640.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4 = 0, d + o - 7 = -1. Suppose -9 + 6 = -3*i. Calculate the least common multiple of d and (26 - 2) + (i - 0)*-2.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1174 divide 32577326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and 45609.\nAnswer: 45604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 6 = 0, -o + 15*u + 4760 = 17*u. What are the prime factors of o?\nAnswer: 2, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 322 and 80101?\nAnswer: 3684646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 - 92 = -12*d. Let n be 14\/4*(-8 + d)*10. Suppose 2*h = -n + 210. Solve 3*f + j = -14, -j - 5 = -h*j for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - 5*p - 1. Let k be f(5). Let s be 35\/36 + (-8)\/36. Which is the nearest to -2\/5? (a) 0.4 (b) k (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31637219, 63274439, 94911659?\nAnswer: 126548879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -85*v**3 - 12*v**2 - 4*v + 6. Let l(n) = 85*n**3 + 14*n**2 + 5*n - 7. Calculate 7*b(m) + 6*l(m).\nAnswer: -85*m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/9, 0.54, 46, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 (base 10) in base 7?\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 7:00 AM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 72308167, 72308166, 72308165, 72308164, 72308163, 72308162?\n\"Answer: -y + 72308168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (0 - 0) - (-56 - -54)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 19165 + 35079. List the prime factors of k.\nAnswer: 71, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1424293*n = 1424292*n + 4*w + 29, 81*n - w + 235 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o\/(o**(5\/3)*o*o)*o**(-26) assuming o is positive.\nAnswer: o**(-83\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 3*r**2 + 12*r - 4. Let y be b(-6). Let i = -20 + y. Calculate the remainder when 46 is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1622978 is divided by 2779.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 422090 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -63861 at most as big as 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 3*o + 3*o)*(-9*o**3 - 4*o**3 + 5*o**3) + (3*o**3 - o**2 + o**2)*(-5*o + 4*o + 0*o).\nAnswer: -19*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -4*r + 578 - 197 - 191 - 188. Let h(s) = s**2 - 8*s + 6. Let t be h(6). Let f(c) = 5*c - 2. What is t*i(w) - 5*f(w)?\nAnswer: -w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -28*l**3 + l**2 - 1. Let i be k(-1). Let t(p) = p + 7. Let c be t(-6). Suppose 2*a + c = a - 4*n, -2*a + i = 2*n. Is 8 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 15. Let l be (-1 + t)\/((-3)\/(-9)). Let p(c) = 2*c**3 + 6*c**2 - 6. Let b(v) = 13*v**2 - 1742 + 4*v**3 + 862 + 867. What is l*b(k) - 13*p(k)?\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 + 18.17. Let n = l - 0.35. Let f = n + 0.68. What is the third biggest value in -4, -0.3, f?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5766 - -5770. Solve 2 + 19 = -3*v - 2*i, -s*i + 8 = -4*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/12 + (-16)\/(-3). Let a(x) = 5*x. Let m(w) = -6*w. Suppose 5*b - 6 = -5*f - 1, -4*b = 2*f - 12. Let d(k) = b*a(k) + 4*m(k). Determine d(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 3*v + 10 = 21, 0 = -r + 3*v + 13. Let c be r\/(-2) - (-1 - 19). What are the prime factors of c\/1 - (9 + -8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -128*q**2 + 7*q - 4?\nAnswer: -256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 - 15*k - 45. Let j(t) = -61*t + 114. Let h be j(2). Let v be c(h). Solve -2*q = -v + 7 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7607 is divided by 47?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6 (b) 1\/293 (c) -2\/5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 454\/18160 - (-3758)\/80. Which is smaller: q or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 3)*(3 - 2)\/(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -349 + 348.959. Which is the closest to 0.2? (a) 0 (b) j (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2177 - 1229. Let f = 551 + i. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4392 and 138.\nAnswer: 101016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 divided by -24704.\nAnswer: 17\/24704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3840723, 3840735, 3840751, 3840771, 3840795, 3840823, 3840855?\nAnswer: 3840891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -12340304?\nAnswer: 12340301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -206862800 rounded to the nearest 100000?\nAnswer: -206900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 + 1)*150\/(-60).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*c + 0*c - 13*c)*((-4 + 1 - 2*c - 2)*(1 + 0 - 3) - 43*c - 38*c + 82*c - 15) to the form t*c + v*c**2 + s and give v.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1308996.9 rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -3*p + 18, -5*o + 4*o - 12 = -3*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-18))\/((-9)\/36)*(-34)\/(-544).\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1160603.\nAnswer: 23, 50461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 + -10 - (0 - 5)) + -8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.8, 3, 2, 14 in descending order.\nAnswer: 14, 3, 2, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*j**2*p*x + 2*j**2*p - 2*j**2 - 440*j*p*x**2 - 12*j*x + 3*x**2 - 17 wrt p.\nAnswer: 2*j**2*x + 2*j**2 - 440*j*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 184366089 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 17222, 8, 315\/4, -5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 191126 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 221, -20 in ascending order.\nAnswer: -20, -4, 0, 221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from appaattapaataapta. Give prob of picking 2 t.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 249389431 to the nearest integer?\nAnswer: 15792","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/9 of a day in seconds?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(2)*6 + sqrt(16)\/(sqrt(56)\/sqrt(7)).\nAnswer: 1 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 48*r**5 - 285*r**4 - 2*r**2 - 5018*r - 2 wrt r?\nAnswer: 960*r**3 - 3420*r**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -18. Let j = 1 - -2. Sort -1, d, j.\nAnswer: -1, j, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(10) + (sqrt(70)*2 - sqrt(70) - sqrt(70))\/sqrt(7))\/(-2*sqrt(72)) + -1 + (sqrt(10) + sqrt(40)*-3)\/((-1*sqrt(14))\/sqrt(7)))**2.\nAnswer: 118*sqrt(5)\/3 + 19709\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 5*s + 23. Let f(p) = 4*p + 22. Let z(a) = 4*f(a) - 3*l(a). Let v be z(5). What is the second derivative of -u**2 + u - 3*u + 0*u + v*u**2 - 10 wrt u?\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 210 and 150?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 9*j - 5*j. Suppose 2*y - 4*g = 416, -y - 3*g + j*g + 205 = 0. What are the prime factors of y?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 AM and 7:46 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 6 - 32. Let c(f) = -2*f - 1. Calculate the remainder when q is divided by c(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by -1637?\nAnswer: 11\/1637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6419.\nAnswer: 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -61*n**3*s**3 - 435*n**3 + 3*n**2*s**3 - 15*n*s**3 + 61*n*s**2 - 7*n*s + 2*s**3 - s wrt n?\nAnswer: -366*n*s**3 - 2610*n + 6*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 7*y = 54. Let h be 33\/(3 - y\/(-6)). What is the units digit of 33\/h*164\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 27*x**2 + x - 33. Let t be u(27). Let i(b) = -b**3 - 7*b**2 - 7*b - 4. Calculate i(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1032812?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10140 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31.06387l?\nAnswer: 31063.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5789078351.\nAnswer: 7, 827011193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2311461414?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 26264557 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -3*p**4 + 852*p**3 - 30237*p**2 + 84792*p - 55404 = 0.\nAnswer: 1, 2, 38, 243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*x**2 + 5*x**2 + x**2)*(-4 - 15 - 15)*(1 + 4 - 3) to the form s*x + v*x**2 + o and give v.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 6*y**2 - 2*y + 23. Let b be u(3). Let c(p) = -5*p**2 + 5 + 4 - p**3 - 5*p**2 + 2*p + 4. Calculate c(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 344 + 34. Let t = w + -27. Is 24 a factor of ((-1)\/(-1))\/((-3)\/t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151*w + 1526428 = -823887. Calculate the greatest common factor of w and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a millennium in decades?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1094 is divided by 186?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10176389 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 - -0.9. Let p(b) be the third derivative of -b**5\/60 + b**4\/8 + b**3\/3 - 4*b**2. Let x be p(3). Sort x, n, 0.\nAnswer: 0, n, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 202*v - 271. What is a(2)?\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 27*d - 7*d. Determine z so that 5\/3*z**d - 2\/3*z + 0 = 0.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (206\/(-2884))\/((-10)\/600).\nAnswer: 30\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -24*r - 52. Let q be u(-4). Solve q*i = 50*i - 12 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45064 (base 8) in base 10?\nAnswer: -18996","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 18\/59 and 61\/14.\nAnswer: 826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 185423 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -5*a**2. Let n(l) = -l**2 + 3*l. Let u(c) = -c**2 + 4*c. Let x(w) = 4*n(w) - 3*u(w). Let p be 4\/14 + 46\/(-14). What is p*x(t) + s(t)?\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.679953 decades?\nAnswer: 6.79953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -31002.2 rounded to the nearest ten?\nAnswer: -31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2918600.\nAnswer: 2, 5, 14593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 267828017.\nAnswer: 971, 275827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*o - 96 = 26*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from {y: 1, w: 1, i: 1, z: 2, p: 2, o: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4465*c**3 + 579 - 2543*c**3 + c**2 - 579 + 6581*c**3 to l*c**2 + z*c**3 + i*c + m and give z.\nAnswer: 8503","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -2080330924 and 52988.\nAnswer: -2080277936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 343 divide 22401183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 f when two letters picked without replacement from drffrfdfdfrrrfff?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00069695873 rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 60 = -0*a. Let i(j) = 4*j**2 + j - 1. Let y be i(1). Suppose p = y*p - a. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 637982 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -1. Let r(b) = -b - 2. Let i be r(o). Let u(d) = d. Let g(v) = -1. What is i*g(f) - 2*u(f)?\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*n = -334 - 266 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25907 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 33, 16, -17, -72, -155, -272, -429?\nAnswer: -632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 2:05 AM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 114 = 3*v + 92, v = -2*o - 14. Solve 5*a - v*n = -27, 0 = -5*a + 33*n - 32*n - 26 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 5*w - 899, 0 = q - 3*w + w - 899. Let p = 1 + 1. Suppose -2*n = -5*r + 4835, 3*n = p*r - 1035 - q. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, u: 5, h: 11}. Give prob of sequence hh.\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/(a*a**(3\/4)*a)*a))**14)**32 assuming a is positive.\nAnswer: a**784","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -250*j - 5 = -251*j, -13*j + 30 = -5*m - 8*j for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -57*r + 55*r - 2*b - 22, -4*r - 22 = 2*b for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -337 + 341. Suppose c = -4*c + 20. Calculate the least common multiple of n and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v**2 + v + 1. Suppose 190 = 10*h - 20. Calculate the remainder when b(5) is divided by h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -381198039*o**2 + 1046393*o + 87?\nAnswer: -762396078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1061?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**2 - 49*k - 30. Let n be i(25). Does 5 divide (n\/(-3))\/((-5)\/(-75))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2874144 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2 and 27183919.358.\nAnswer: 27183921.358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -24836, -26066, -27296, -28526, -29756, -30986?\n\"Answer: -1230*w - 23606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-116472)\/(-736))\/(-1 + -5) + 6\/16. Which is the smallest value? (a) x (b) 3\/4 (c) -0.1 (d) 2\/33 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 - 22. Let q = -10.3 - 0.7. Let b = q - -8. What is the biggest value in w, b, -2\/9?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 95*b**2 + 15*b - 38. Let k(m) = -96*m**2 - 14*m + 37. Let l(r) = 3*k(r) + 4*o(r). Is l(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 45 = -0*p + z, 12 = -4*z. Let w = -6 - p. Factor -3*n**5 + w*n - 5*n - 5*n + 8*n**3 - n**5.\nAnswer: -4*n*(n - 1)**2*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174*w - 174*w + 5*a + a = 24, 3*w = -4*a + 8 - 16 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/18834 and -125\/4085172.\nAnswer: 298217556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + l = 2*l - 29, 5*l - 7 = 3*y. Let w be (3\/(-36))\/(y\/(-32)). Which is the fourth smallest value? (a) -2\/3 (b) w (c) -0.1 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1040414 (base 7) to base 16\nAnswer: 1f1e4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6848 and 14976.\nAnswer: 1602432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 + -26. What is the third smallest value in 0, 1\/3, p?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 197539 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 - 4*i + 19. Let v be d(-8). Let c = 15 + v. What is the least common multiple of c and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8\/(-20))\/(2\/80). Let m = x - -18. Let w be 1\/4 + 124\/16. What is the highest common divisor of m and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2. Let q(z) = 138*z. Calculate y(q(o)).\nAnswer: -19044*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3\/3 - 352*v**2 + 61952*v - 10903552\/3.\nAnswer: 2*(v - 176)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 3:38 AM?\nAnswer: 1:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 207 + -204. Suppose 0 = l + p*l - 1872. What are the prime factors of l?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 10:06 AM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirty-two fifths of a minute?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + 3*y + 1. Suppose 0 = -9*c + 8 + 10. Suppose -5 = -c*t + v - 2*v, -5*v = -4*t - 25. Suppose t = -b + 2 - 6. Calculate s(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of -c**5\/60 - c**4\/4 - 5*c**3\/6 - 5*c**2. Give a(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -10. Let t be (-6)\/39 - 0\/2. Which is the nearest to 1\/2? (a) -5 (b) g (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7195 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -4*x - 13. Let j(p) = -5*p - 9. Let f(o) = 3*j(o) - 4*t(o). Let g be f(-11). Solve -c + 3*d = -3*c + 16, c = -3*d + g for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2729930 a multiple of 172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 3*n**2 - 34*n - 5. Let h be k(12). Differentiate -253*i - 254*i + 507*i + h*i**2 + 273 with respect to i.\nAnswer: 38*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -167 - -1038. Suppose 4*i + 5*b - 3941 = 0, 3*i = -b + g + 2093. List the prime factors of i.\nAnswer: 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 - (4 - (-30)\/(-5)). Let u(a) = 764*a + 11. Is u(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) - 2*sqrt(66))*2*-5)\/(sqrt(108)\/sqrt(2) + (sqrt(6) - -6*sqrt(30)\/sqrt(5))).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -15*(-14)\/(-19110)*52?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dj when two letters picked without replacement from {j: 3, d: 5}?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -3 (b) 1 (c) 4 (d) 30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.5, 5\/14, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/((-1)\/(-12)*-3). Let s be (-26)\/(-10) - 24\/i. Is 1\/((1 + s)\/1113) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 less than -20774?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 362 - 421?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-42)\/(-24) + 2\/8. Let j(d) = 3*d**3 - 5*d**2 + 7*d - 2. Let x be j(w). Suppose 2*z + 24 = -f - 3*f, -x = f + 3*z. Sort f, 2, -2 in decreasing order.\nAnswer: 2, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 9*z**2 - 11*z - 3. Let y be f(-10). Suppose 21 = 28*u - y*u. What is the closest to 2\/5 in -5, u, -1\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r - 7 - 8, 13*r = -v + 197 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 11 = n, 2*m = 2*n - 4*n - 12 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 74841.9 weeks in milliseconds?\nAnswer: 45264381120000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 1 = -4*s. Suppose -o - 2 = -4*d - 5, d = -s*o + 12. Solve 0 + o = p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13523 (base 11) to base 5\nAnswer: 1104024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 - 17*h - 106. Give s(-9).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-20 - -19) + -23\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2563453 - 353.543?\nAnswer: -353.2866547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of 0 + 24*d + 0*d**2 - 4\/3*d**3 + 0*d**4 + 3\/4*d**5. Find the second derivative of p(m) wrt m.\nAnswer: 90*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1874115.\nAnswer: 3, 5, 41647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**3 + 3*y**2 + 3*y + 1. What is h(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -6*o + 5\/2*o**2 + 64 - 1\/3*o**3. Factor a(n).\nAnswer: -(n - 3)*(n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (168\/90*7*42\/(-196))\/((-48)\/15)\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 81\/2 of a litre?\nAnswer: 40500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + 10*s. Let b be i(10). Let x = 202 - -15. Suppose 4*r - u = -x + 673, -2*r - 4*u + 246 = b. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 525 or 524?\nAnswer: 524","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*o - 85 = 6*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8160 and 55233?\nAnswer: 8837280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16642 is divided by 8291.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 545 is divided by 111?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*c + 341 = -39*c - 113*c - 12008 for c.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 253*n + 159*n - 25*n in the form g*n + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + r**2 - 4*r - r**2 + 2*r**2. Let t be (-1 - -3)*((-54)\/4)\/9. Determine p(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 5*f**2 - 4*f - 12. Let p(d) = -8*d - 148. Let x be p(-18). Let k be (x\/(-12))\/((-5)\/(-90)) + 0. Give z(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176047283 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -58\/177 and 97\/255.\nAnswer: 15045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4311.344 nanograms to milligrams.\nAnswer: 0.004311344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -c - 609. Let d = -93 - c. Suppose 2*w + 5*t = -w + d, -2*t = -8. List the prime factors of w.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25233 is divided by 1271.\nAnswer: 1084","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2031, 2034, 2037, 2040, 2043, 2046?\nAnswer: 2049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7\/1*6\/(-2). Suppose -4*b + 20 = 4*y, -1 = y - 2. Calculate the remainder when 40\/7 + (-6)\/l is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40554, -38656, -35492, -31062, -25366, -18404, -10176?\nAnswer: -682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -22 - 7ac8?\nAnswer: -7b1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 2, 2\/5, 4\/9?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 362*y + 18608. Give k(-52).\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-142224)\/12*(-8)\/32 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 497525731 a multiple of 1192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/2*99\/(-33).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 0 - (-116)\/(-29) - -302. Suppose h = 10*s - 192. Solve 0 = 2*z - s + 53 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 86799*o + 86789*o - 3 + 2.\nAnswer: -10*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 6:55 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r*(r\/(r*r**(-6\/11)))\/r*r\/(r*r\/(r*r**11))*r assuming r is positive.\nAnswer: r**(149\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*o**2 - o**2 - 4*o**2)*(-15*o - 26*o - 6 + 33*o) - o**2 - o**3 + o**2 to the form d*o**3 + r*o**2 + t*o + f and give d.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6349?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09035423916 rounded to 4 decimal places?\nAnswer: -0.0904","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -352801463 and -60.\nAnswer: -352801523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -76*y - 77*y - 3*y**2 - 4 + 150*y - 2*y**4 - y**3 as g*y**3 + f*y + q*y**4 + b*y**2 + c and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 48\/5 of a kilometer?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2173*q - 3813*q - 1214*q.\nAnswer: -2854*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 t when two letters picked without replacement from {h: 1, s: 2, u: 1, q: 2, t: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in five eighths of a gram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 - 3*z + 8. Let w = 5 + -1. Suppose -13 = -w*j + 15. What is the units digit of h(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -47 - -55. Suppose -n*j + 34 = 10. Suppose 0 = -2*r + j*r + 4, -a = 4*r + 27. Which is bigger: a or -12?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 24 = 5*i. Let r = 6 - i. Is 3 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-299)\/((-28704)\/(-240))*(-32)\/(-10)*-12.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pcpp when four letters picked without replacement from {k: 3, c: 3, g: 2, p: 6, l: 3}?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**22)\/f**(14\/5) assuming f is positive.\nAnswer: f**(-119\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (10\/3)\/(((-129)\/(-215))\/(24\/(-50)))\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, 34, -2, 4 in decreasing order.\nAnswer: 34, 4, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 2*l**2 - 988*l + 122018 = 0.\nAnswer: 247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 123, 2\/7, 4\/5, -1\/6, -27 in descending order.\nAnswer: 123, 4\/5, 2\/7, -1\/6, -3, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 5428 = -0*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 42 = -0*r. Let h(l) = 8*l - 6. Let y(m) = 7*m - 5. Let z(i) = 6*h(i) - 7*y(i). What is the lowest common multiple of r and z(-13)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9827 + 9826.98. Put m, 57\/5, 0 in descending order.\nAnswer: 57\/5, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 391 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of u**8\/840 + u**6\/30 + 5*u**3\/2 - 5*u. Let x(h) be the second derivative of n(h). Find the third derivative of x(o) wrt o.\nAnswer: 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of 7*v**4\/24 + v**3\/6 + 2*v**2. Let c(k) = 5*k - 4. Let h(i) = 4*i - 3. Let y(j) = -3*c(j) + 4*h(j). Give -6*y(t) + z(t).\nAnswer: t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4238940*s + 4238940*s - 2 + 7*s**2 + 6.\nAnswer: 7*s**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 + -79 + 32 - -28 - 93?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-21568 - -7)\/(((-36)\/(-16))\/((-6)\/4)).\nAnswer: 2, 7187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 + -2011201121?\nAnswer: -2011201212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1 - (10 - 12)) + (3 - -3783).\nAnswer: 7, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p**2 + 3*p**2 - p**2 + (2 - 2 - 2*p)*(-1 + p + 1) - 2*p**2 - 1 + 1 - 9620 + 9620 - 543*p**2 - p**2 + 2 - 2 to the form f*p**2 + g + z*p and give f.\nAnswer: -544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 305 + 208b?\nAnswer: 2393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -12. Let o = 9.5 - h. What is the smallest value in -2\/21, o, 0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3281079, 6562146, 9843213, 13124280, 16405347, 19686414?\nAnswer: 22967481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8284025.\nAnswer: 5, 23, 14407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.03 + -0.14. Let x = 0.01 + v. Suppose -21*p - 15 = -26*p. Which is the biggest value? (a) x (b) p (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -20*h**3 - 5*h - 4. Let m(t) = -10*t**3 - 2*t - 2. Let r(y) = 5*m(y) - 2*s(y). Find the first derivative of r(v) wrt v.\nAnswer: -30*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2945115947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 368020 is divided by 52573?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 7\/4, -1\/2, 929\/4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - -1) + 25 + -32?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 39868134*k**3 - 2*k - 119866566.\nAnswer: 119604402*k**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 320*z. Let p(a) be the first derivative of -a**3\/3 - 164. Calculate f(p(j)).\nAnswer: -320*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 20\/(-50) + (-76)\/10. Is 24*h\/(-12)*6 - -4 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-18)\/(-12) + 1\/2. What is the third smallest value in x, 3, 2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20290, 40564, 60838, 81112, 101386?\nAnswer: 121660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - q - 11. Let g be (9 - 9 - 0)\/(12\/(-3) + 2). What is p(g)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 179*u**4 - 917*u**3 + 1426*u**2 - 684*u - 24. Let j(v) = -v**4 - 2*v**3 - 2*v**2. Let s(n) = g(n) - 4*j(n). Find a such that s(a) = 0.\nAnswer: -2\/61, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + 12*m + 6. Let s be y(-12). Let a(u) = 8*u - 3*u + 0*u - s - 4*u. Give a(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 398029078 to the nearest integer?\nAnswer: 19951","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 555?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8621712 is divided by 248.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 950, 1898, 2846, 3794, 4742, 5690?\nAnswer: 6638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 436810 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 354746 to the power of 1\/3, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbssssmbbujmumbssus. Give prob of sequence ss.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -263*k - 925 - 491 = -101 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 PM and 4:20 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + -6. Let u be 4\/3 + (-4)\/d. Let v(g) = g**3 - g**2 - 4*g + 3. Determine v(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001074 to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -101111010?\nAnswer: -101111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.293 rounded to one decimal place?\nAnswer: 6.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*(sqrt(84)*1 - sqrt(84)) - sqrt(84)) + sqrt(84))*3)\/(sqrt(768) + 2*(sqrt(768) + sqrt(768)*-2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 + c. Let b(d) = 5*d**2 + 10*d. What is -b(l) + 6*n(l)?\nAnswer: l**2 - 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-19 - 9)*(-16)\/28. Let t(k) = -k**2 - k + 40. Let s(a) = a**3 - 2*a + 1. Let m be s(1). Let z be t(m). What is the highest common divisor of p and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express f - 2*f**2 + 0*f - 5 + 4*f - 6*f as t*f**2 + y*f + m and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 3*f + 3. Determine r(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 4328.\nAnswer: -1731.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-4 + 7 + -1) - 1. Let t be (-81)\/(-15) - u\/(-10). Solve -9 = -3*g + 2*w - 0, 2*g - t*w - 17 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-27)\/(-2)*816\/72. Suppose 620 = a + m. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 717 + -717. Which is the closest to f? (a) 0.24 (b) -1\/4 (c) 0.2 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3984 + 4020. Calculate the least common multiple of 738 and l.\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7666264 + 8?\nAnswer: 7666272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-1)*u)**(1\/3) assuming u is positive.\nAnswer: u**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 7*o + 8. Does 24 divide 158 + 13 + (-1)\/((-1)\/o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -15*(-16)\/40 - 5313\/854. Which is smaller: y or 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 6:58 PM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-1895)\/(-3032))\/(4\/(16\/(-25)))\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.12 + 0.02. What is the second smallest value in 1\/3, 0.06, h?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 11*a**4 - 9671*a**3 - 13639221*a**2 - 11151121*a + 2478418 = 0?\nAnswer: -757, -1, 2\/11, 1637","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 281.1978 millennia to decades.\nAnswer: 28119.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*f**2 + 5*f**6 - 637*f**4 + 637*f**4 wrt f.\nAnswer: 600*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -43930*m**3 - 1337*m + 1337. Let i(t) = -197*t**3 - 6*t + 6. What is 1337*i(q) - 6*w(q)?\nAnswer: 191*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -7*k**3 - 5*k**2 - 654*k + 3970. Give d(6).\nAnswer: -1646","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 8*j + 2*j**3 + 0*j**3 - j - j**3 + 8*j**2 + 4. What is the least common multiple of 2 and t(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-3*((sqrt(78) + (sqrt(78) - 2*sqrt(78)))*-2 + sqrt(78) - -6*(sqrt(78) + 1*sqrt(78)))\/(-1*(sqrt(600)*1 - sqrt(6))).\nAnswer: -26*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*h**2 + h**2 + 22*h**2.\nAnswer: 18*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ihaahphhapaahapaah. Give prob of picking 1 p and 1 a.\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14089.\nAnswer: 73, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -352*l**3 + 55*l - 55. Let u be 21\/(-4 - 3) + (0\/4 - -5). Let t(y) = 13*y**3 - 2*y + 2. Give u*z(v) + 55*t(v).\nAnswer: 11*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1549, 1548, 1545, 1540, 1533, 1524, 1513?\n\"Answer: -k**2 + 2*k + 1548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -5, 19224, 144 in ascending order.\nAnswer: -5, -3, -2, 144, 19224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -213357500308 + -0.5.\nAnswer: -213357500308.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10318 and 922724?\nAnswer: 1474","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -62 - -3600?\nAnswer: 3505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 + 4. Let b = z - 17. Differentiate -93*v**4 + 3 + 79*v**b - 4 wrt v.\nAnswer: -56*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -30*(11\/(-165))\/(2\/12). Suppose 3\/2*r**3 + 24*r + 0 + k*r**2 = 0. Calculate r.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 12:29 PM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 + -63. Let g = 36.5 + n. Which is the third smallest value? (a) -4 (b) g (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/33)*y\/y**(-7\/2))\/(y**(8\/3)*y**(-5)) assuming y is positive.\nAnswer: y**(149\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d + 11. Let l be j(11). Solve l - 2 = 2*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*n + 7*j - 158 = 0, n - 51*j - 43*j + 22 = -91*j for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00417510851 to six dps.\nAnswer: 0.004175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 284261 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + 4686\/(-783))*3*9\/6.\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 1:38 AM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-378)\/12*250)\/(3\/(-160)). Round k to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 AM and 3:57 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 + 46. Calculate the remainder when 161 is divided by r.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmbmbmbmmb. Give prob of picking 2 m.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 874 (base 14) in base 8?\nAnswer: 3206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4616206 days in milliseconds?\nAnswer: 39884019.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 317*o - 506. Give b(-2).\nAnswer: -1140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 4. Let i(j) = j + 2. Let q(a) = 2*a + 5. Let s(p) = z*q(p) + 5*i(p). Let w(g) = g - 170*g**2 - g + 177*g**2. Determine w(s(m)).\nAnswer: 7*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 i when four letters picked without replacement from iiippppiii?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 * -0.01775.\nAnswer: -0.1065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 8*u**2 - 8*u - 6. Let f be o(-7). Let b = 6 - f. Determine m so that -1\/2*m + 9\/4*m**2 - 7\/2*m**3 - 1\/2*m**b + 0 + 9\/4*m**4 = 0.\nAnswer: 0, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1239 and 31731675?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 24405634 (base 7) to base 12\nAnswer: 895714","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110011110110 (base 2) to base 8.\nAnswer: 6366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/(1\/(1\/1)). What is the common denominator of -7*(1 - (0 + 8)) and (285\/b)\/5 + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 4\/4252585?\nAnswer: 4\/4252585","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 3*l - 5*g, 0 = 5*l - 19*g + 23*g - 7. What is the nearest to 64 in l, -4, -1, 1\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*b - 3*o - 26, 5*b - 3*o - 63 = 0. Does 9 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2\/5, 0.1, -3, 1337 in ascending order.\nAnswer: -3, 0.1, 2\/5, 4, 1337","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/2)\/(2035\/370)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -91*c**4 - 80*c**4 + 253*c**4 + (-1 + 1 + 1)*(-c**4 + 5*c**4 - 2*c**4).\nAnswer: 84*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -112 in -107, -0.3, -3?\nAnswer: -107","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(3\/5))**(-4\/11))**(12\/7) assuming i is positive.\nAnswer: i**(-144\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r**2 - 3*r + 4. Let x = 15 + -50. Let v be 3 + x\/5 + 0. Calculate z(v).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1022, 0, -7 in ascending order.\nAnswer: -7, 0, 4, 1022","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 44*j - 450. Let r(l) = -5*l + 50. Let c(w) = -6*p(w) - 52*r(w). Let o be c(0). Is (77\/14 + -4)*o\/6 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmppmpppmpvpvppp. What is prob of picking 2 p and 2 m?\nAnswer: 27\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 - 40 = -4*s. What are the prime factors of ((-11)\/33)\/(s\/(-42))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -338 - 2*u**2 + 489 + 697 to d*u**2 + y + r*u and give y.\nAnswer: 848","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20\/(-8)*3*4\/(-15). Suppose 3*r + s*r + 340 = 3*q, 5*r = 4*q - 450. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 AM and 4:08 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 150741700 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -808 (base 10) in base 3?\nAnswer: -1002221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-78)\/(-4))\/((-63)\/(-9660)). What is j rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 - g. Let u(b) = -b**2 + 4*b. Determine 4*o(c) + u(c).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-7)*-5*12\/540*15?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2136bb502 + 3?\nAnswer: -2136bb4cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(63) + (5 + sqrt(63) - sqrt(63))))**2.\nAnswer: 480*sqrt(7) + 1408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 52291453 to the nearest integer?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q = -3*q - 15 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 69, 5, 79, -479?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4442, 8870, 13390, 18002, 22706, 27502?\nAnswer: 32390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 124047 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 q when two letters picked without replacement from {c: 2, q: 10}?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -398*t = -402*t + 10988. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 64.35887 litres?\nAnswer: 64358.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 6\/5*c**2 + 2\/5*c**4 - 8\/5 - 8\/5*c + 8\/5*c**3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1785235 is divided by 45.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*o = -59765 + 57173 for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*c)*(-44*c - 689 + 361 + 290)*(3 - c**2 - 3)*(2 - 1 - 3).\nAnswer: 176*c**4 + 152*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of -3*p**5\/80 + p**4\/32 - 6*p**2. Factor f(s).\nAnswer: -3*s*(3*s - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = j + 3. Suppose k - 16 = -j*k. Is k a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001001011 - -101001110011111100110?\nAnswer: 101001110110000110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 5:06 AM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - m**2 + 31. Let o(x) = x**3 + 9*x**2 + x + 9. Let a be o(-9). What is the units digit of c(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*t + 40 = -25*t. Suppose -4*w + 19 = 4*y - 3*y, -26 = -5*w + y. Solve -v + 5*q + t = -3*v, w*v + 4*q = -21 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lpqqllqlqql. Give prob of sequence ppql.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-6)*o*o*o*o*o\/(o\/o**(3\/2)))\/(o**(5\/4)\/((o\/o**6*o)\/o*o)) assuming o is positive.\nAnswer: o**(-19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 389*q**3 - 15*q**2 + 13*q + 14. Let i(f) = -130*f**3 + 5*f**2 - 4*f - 4. Let b(n) = 7*i(n) + 2*o(n). Find the third derivative of b(r) wrt r.\nAnswer: -792","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3451 (base 8) to base 9\nAnswer: -2456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*z = 46*z + 3*z + 588 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.012 + -0.012. Sort -0.1, -0.3, -143, y.\nAnswer: -143, -0.3, -0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30782 + -19599. What are the prime factors of p?\nAnswer: 53, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + -9 - -9 - 2.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6*4\/84)\/(126\/(-294)). Which is the second smallest value? (a) -2\/15 (b) 1180 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.9285176 rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*m - 205*m - 274*m - 8073 = 0 for m.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -8, 4, -1 in ascending order.\nAnswer: -14, -8, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-five halves of a tonne?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 138244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3035 - 3030. Solve 4*y + p = -4, 17 = -5*y + 3*p - c for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -140244 (base 9) in base 13?\nAnswer: -2cbb7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of q**5\/10 + 3*q**2. Let s(b) = -10*b - 45 + 21*b - 52 + 97. Calculate s(g(w)).\nAnswer: 66*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (1 - (-1 + 4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (sqrt(1300) - (sqrt(1300) + -2)))*-1 - (sqrt(1300) + sqrt(1300) + (sqrt(1300)*-1 - sqrt(1300)) + 2 + (2*-2*sqrt(1300) - sqrt(1300)))**2)*4.\nAnswer: -130028 + 800*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -61 + 69. Solve -4*z + f = 0, -3*z + 11 = 3*t - 7 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/4 + (-5 - -5) - (-276)\/184. Let z(x) be the first derivative of 1\/11*x**j + 0*x + 40 - 2\/33*x**3. Find r, given that z(r) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -6 + -4 + 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(7) + (-2*sqrt(7) - sqrt(7))*3)**2 - (1 + sqrt(175))).\nAnswer: -2235 + 25*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2812318?\nAnswer: 2, 1406159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/125)\/f)\/((f*f\/f**19)\/f)*f**(-2\/93)*f\/(f\/f**(-1\/11)))**(-36) assuming f is positive.\nAnswer: f**(-25938552\/42625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = 0, 2*y + 3*q = -4 + 14 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - 2)*(-211)\/2. Let y = 414 - m. Let a be -3 + 1 + 0 + (-31)\/(-1). Calculate the greatest common factor of y and a.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010011010 (base 2) in base 15?\nAnswer: -2e6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17 and 527.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/4*-4*155. Round x to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9974107 to the nearest one hundred thousand.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*l - 3*f + 2*f, -5*l + 17 = -4*f. Let y(g) = -5*g + 1. Let o be y(l). Suppose u - 3*u = -8. Which is the closest to 2\/3? (a) u (b) o (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25535113?\nAnswer: 25535113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2442 + -2428. Solve p*b - 24 = -38 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 19 = 3*v, 5*v = 17022*i - 17017*i + 15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 372012, 372008, 372006, 372006?\nAnswer: 372008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 32*n + 9)*(3*n - 25*n + 11*n - 46*n).\nAnswer: -1824*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4615?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + 7*c**2 - 6*c + 2. Suppose 210 = -5*p - 5. Let m = 49 + p. Let z be d(m). Is 2 at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1222273 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -1 + sqrt(320) + 5)**2.\nAnswer: 144*sqrt(5) + 401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (102\/119)\/((-148952)\/(-6062))?\nAnswer: 3\/86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-4\/7)*c*(c\/c**(3\/13))\/c)\/(c*(c*c**24*c*c)\/c*c*c*c**(-20\/7)) assuming c is positive.\nAnswer: c**(-2361\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(468)*2*-2)**2.\nAnswer: 119808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 102*y + 18. Let n be d(6). Suppose -n = -7*l - 0*l. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3020169 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-3 + (sqrt(700)*-2)**2 + sqrt(700) + 5).\nAnswer: 20*sqrt(7) + 5604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2016) - (sqrt(2016) - (2*sqrt(2016) + sqrt(2016))) - sqrt(2016))\/(2*sqrt(72))*-2)**2.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pzzh when four letters picked without replacement from {h: 9, p: 7, z: 3}?\nAnswer: 21\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 726458949?\nAnswer: 3, 109, 27427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - j - 14 = 24, -4*j = -8. Let i(k) = -3*k - 7. Is i(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -105604 to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**2 - 612290*z + 18744952205.\nAnswer: 5*(z - 61229)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 672*m**3 + 194*m**2?\nAnswer: 4032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 341855 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 74724318427 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 173 = 5*k, 10*v = 2*k + 5*v - 46. What is the greatest common divisor of k and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (-7 - (-10 + 3 + 9))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 33*d + 1. Let r be t(2). Suppose k + r = -3*l + l, k + 3*l = -66. Let y = -22 - k. What are the prime factors of y?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 780 a factor of 2446017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1593401 is divided by 550?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7828748?\nAnswer: 2, 1957187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 96?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1995.149 tonnes in milligrams?\nAnswer: 1995149000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.124062 micrometers in centimeters?\nAnswer: 0.0000124062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of -2\/21*n**6 + 4\/7*n**5 - 40\/21*n**4 + 1\/147*n**7 + 80\/21*n**3 - 32\/7*n**2 - 2*n + 0. Factor v(w).\nAnswer: 2*(w - 2)**5\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 3.2 (c) -0.14 (d) -3 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -3.1. Let g = 930 - 931.5. Let s = v + g. What is the closest to s in 0, 5, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1\/q)**(14\/3)*(q*(q*(q*q\/(q\/q**(2\/7)))\/q)\/q)**(2\/15)*(q\/(q**3*q)*q*q\/(q*q*q\/q**(-6)*q)*q)\/(q**(-1))**43 assuming q is positive.\nAnswer: q**(1161\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 173, 178, 183, 188, 193, 198?\nAnswer: 203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 - 1. Let g be t(-1). Suppose g = 2*l - 0*r - 5*r + 8, -r - 47 = 5*l. Let d = -4 - l. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/1011582 and 29\/18?\nAnswer: 1011582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.10925 and 0.72.\nAnswer: 0.07866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -3*a**3 - 182*a**2 + 49*a - 728. Let y be c(-61). Solve -4*g + 9*g + 50 = 5*q, y*g = 5*q - 45 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 - 9*o**2 + o + 9. Let b be g(-9). Let d = -3 + 5. Suppose 0 = -2*y - 0 - d. Sort 4, b, y in increasing order.\nAnswer: y, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/209 in -0.4, 2\/13, -0.2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.3070276 grams?\nAnswer: 0.0003070276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1624 + 1253. What is the highest common factor of a and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -p - 4*i - 7, -4*p + 5 = -i for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5 (b) 30 (c) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k + 1. Let s be v(8). Let i = 1 - s. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46058337 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5453 divided by -779?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j*j\/j**0*j**16\/j assuming j is positive.\nAnswer: j**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 + ((-4)\/16)\/(15\/(-168)). Which is the fourth biggest value? (a) -3\/2 (b) v (c) -19 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (19 - 0) - (29 + -19).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of -6*r**4 - 20*r**3\/3 + 2331*r**2\/2 + 1288. Find the second derivative of x(g) wrt g.\nAnswer: -144*g - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of -a**6\/240 + 2*a**5 - 713*a**4\/48 + 79*a**3\/2 - 10683*a**2. Factor h(t).\nAnswer: -(t - 237)*(t - 2)*(t - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6355, -10699, -15039, -19375, -23707?\n\"Answer: 2*i**2 - 4350*i - 2007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -72 - 0 - (-3 + -5 + 5). Let h be (-2044)\/35 - (-2)\/5. Let b = d - h. Do -10 and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-34)\/16 - -2)*(-36 - (24 + -54)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 u when three letters picked without replacement from uoouzoozouzouozu?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2*g - 16 = 0, -3*d - 3*g - g = -17. What is the remainder when 27 is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*b - 6096 = -4968 for b.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 PM and 1:21 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j - 3. What is k(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45 and 7690?\nAnswer: 69210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 - 7*n - 18. Let q = 87 - 71. Let x be (-21)\/7 - (0 - q). Let a be h(x). Calculate the highest common divisor of 15 and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 4 - 2031*m**3 - 8.\nAnswer: -2031*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2252.2 from -369834717.\nAnswer: -369832464.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -0.31 (c) -97\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q*q**(-3\/11)*q*q)))**5)**(-14\/13) assuming q is positive.\nAnswer: q**(-2100\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/4 of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 8315 = -2*k, -i + 6*i - 25 = 0. Suppose -10*q + 11690 + k = 0. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -4*f**3 - 65*f + 3. Let n(y) = 10*y**3 + 196*y - 8. Give -3*n(z) - 8*q(z).\nAnswer: 2*z**3 - 68*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 + 0.5. Let r be (-9)\/((-81)\/(-2)) + (-32)\/180. What is the smallest value in s, r, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1138.\nAnswer: 2, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.22 + 0.08. Let q be (-530)\/120*-3 - 13. Which is the second biggest value? (a) q (b) t (c) 2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32299\/1281 - 170\/183. Let n = 199\/6481 + -29776134\/1134175. Let p = n - k. Is 1 less than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, r: 1, p: 7}. Give prob of sequence ppl.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -896*i - 898*i + 2689*i - 37 - 887*i + i**2. What is u(6)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/((-4)\/5632) - 6. Let l = -822 + w. What are the prime factors of l?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/7)*(w*(w*(w*w*(w\/(w\/((w\/w**(-3)*w)\/w))*w*w)\/w)\/w*w)\/w*w)\/w)\/((w*w*w**(-2\/11)\/w*w*w)\/(w\/(w*w**(2\/11)))) assuming w is positive.\nAnswer: w**(37\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 14. Suppose 0 = -n*c + c + 168. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 7 = 2*j + 93, -5*j = 2*g - 86. What are the prime factors of g?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + -1)*((-46696)\/(-728) + -64)*6\/(-20).\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14975 + 26843. Calculate the highest common divisor of 69 and s.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2213 + 2215. Suppose 0 + 3\/2*k**h + 3*k - 3\/2*k**3 = 0. What is k?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**2. Let c(g) be the first derivative of 0*g**2 + 4\/3*g**3 - 3 + 0*g. Determine z(c(b)).\nAnswer: 32*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*w + 19*w + 13*w.\nAnswer: 15*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -3527 bigger than -3526?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 38490824*r - 23049128.\nAnswer: 38490824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37770318?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of o**3\/3 - 5*o**2 - 36*o - 3. Suppose -11*d = 19*d - 390. Let w be s(d). Solve 2*r + 23 = -w*r - j, 3*j + 13 = -r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*g - 24 = 36*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 146 times -35.65\nAnswer: -5204.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 PM and 7:32 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20930*z - 20901*z + 667 for z.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11333670599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 974 + -918. Calculate the remainder when 90 is divided by n.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n*n*n*n\/(n\/n**2)))\/n*n**(-3\/5))\/(n**6*n**(-3\/7)))\/((n**(1\/2)*n)**(-1\/54)\/(n**(-1)*n*n)**(-15\/7)) assuming n is positive.\nAnswer: n**(-16741\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of 7*m**5\/60 - m**3\/6 - 29*m**2 + m. Let a(t) be the second derivative of -t**4\/2 + t**2\/2 - 26*t. Give -5*a(z) - 4*u(z).\nAnswer: 2*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39 by -15.\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.1 in 4, -4\/5, 3527?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of -y**4\/12 + y**3\/3 + 7*y**2. Determine v(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 + 8*f + 20. Let a be 0 + (5 - -9) - 4. Let k be g(a). Which is bigger: 10\/13 or k?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 8*s - 4*s + 16, -2*s - p = 3. Let a(j) = 3*j - 2*j + 23 - 23. What is the smallest common multiple of s and a(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-3) - 3\/9\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49 - 2*a**3 + 109 + 2*a**2 - 78 - 3*a**3 to the form u*a**2 + i + d*a + j*a**3 and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of -4*y**7\/3 - 5*y**3\/2 - y**2\/2 - 16*y + 4. What is the second derivative of o(z) wrt z?\nAnswer: -1120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.04 less than or equal to 10187394?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-31)\/7 - ((-576)\/(-56))\/18.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 258 = -39*s + 24. List the prime factors of (3 + 16\/s)\/((-4)\/(-5172)).\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 16 = 5*y, 9*y - 5*n - 3 = 7*y. Let f(q) = q - 2*q + 0 + 1. Calculate f(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: a (base 14) to base 5\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -365 (base 10) in base 9?\nAnswer: -445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1364*j**3 - 7*j + j + 6*j.\nAnswer: 1364*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1560 (base 7) to base 12.\nAnswer: -446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 16. Let n(p) = 3*p**2 - 15*p + 12. Let q be n(x). Suppose -492 = -k + i + q, -5*k + 3492 = i. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + 1 + (4 - 4). Suppose -t*u - 2*u = 64. Let b be (6\/(-8))\/(1\/u). Solve -v = 3*v - b for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3489994?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-25))\/(6\/5)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -9, 2\/3, 1\/10, -0.7?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 74 + -71. Suppose 11*m = h*m + 176. Calculate the greatest common divisor of m and 374.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 25. Suppose 6*f = f + a. Suppose 4*c - 22 = -5*v, -f*c + 8*c - 4 = -2*v. Does 2 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 times -0.024983?\nAnswer: -0.0224847","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 2*t**2 + 27268*t + 27266 = 0?\nAnswer: -13633, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -412044 + 2?\nAnswer: -412042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j + 12. Suppose -4*p = -1 + 21. Let z be r(p). Solve g + 5 = 5*l, 2*g = -z*l - 4 + 18 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -439262, -878572, -1317888, -1757210, -2196538?\n\"Answer: -3*r**2 - 439301*r + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/534630 and -55\/114?\nAnswer: 10157970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 2*d - 24, -2*d - 1 = -3*c - 32. Let n(z) = 2*z - 5. Let k(u) = -3*u + 9. Suppose 3 + 17 = -5*f. Calculate c*n(t) + f*k(t).\nAnswer: -2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y + 14 + 37 + 42 in the form p*y + o and give o.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3023010131 - -10?\nAnswer: 3023010201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*c**3 + 75*c + 8*c**3 - 77*c + 2*c**4 + 2*c**2 - 21 to g*c**3 + f + d*c + l*c**2 + h*c**4 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + -16 - (-23 + 14)) + 10 + -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7477843657 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 30 = 14*w. Let a be ((-3)\/6*w - 0)*-6. Let v(t) = t**3 + 18*t**2 - 6*t + 11. Is 11 a factor of v(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52818948 to the power of 1\/3, to the nearest integer?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -328300 rounded to the nearest ten thousand?\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) 3\/4 (b) -0.4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -3, -6, 38, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 0. Let y = -2071 - -2069. Let n be (u\/(y\/31))\/1. What is n rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28 and 80268?\nAnswer: 561876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19802\/9 - -2192. Let q = -233\/36 - a. Calculate the common denominator of 27\/4 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = -5*h + z, 5*h = 5*z + 4807 - 4847 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13481 + 18419 = 20*k. Is 35 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(16) + sqrt(16)*-2)\/sqrt(8) - sqrt(2))*-5)**2*-2.\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 120165, 133976, 147777, 161562, 175325, 189060?\nAnswer: 202761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -47369*1.38\nAnswer: -65369.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -339171, -339168, -339165, -339168, -339183, -339216?\nAnswer: -339273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -15*q. Let u be r(-1). Let w = -0.361055 - -0.161055. Sort w, u, 5, 2 in decreasing order.\nAnswer: u, 5, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*h + 11*h - 19*h + 57*h**2 as q*h**2 + r*h + v and give q.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 45*n**2 - 387*n - 2216. Determine x(-36).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 59 and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.041 in -0.5, -3, 0, 0.021?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 1307.042.\nAnswer: 130.7042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -10, -32, -78, -154, -266?\n\"Answer: -v**3 - 6*v**2 + 3*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (5 - -5) - -14?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 31 = -5*p, -2 = -3*z + p - 1. Let b be (z + -1)*-2 - -4. Let f be 2\/14 - 3523\/(-1897). Solve 4*t = 3*t + b*x + f, 2*t = -2*x - 8 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 1217*n**2 - 2443*n**2 + 1218*n**2.\nAnswer: -8*n**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 914067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 3*f - 0*f + 54, 0 = -5*i + 4*f + 85. Suppose 5*j - i = 2. What is the nearest to -2\/9 in -3, j, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111824908 to the power of 1\/3, to the nearest integer?\nAnswer: 482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 1, -1\/7, -10, 3\/4, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.26572*1782.\nAnswer: -473.51304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 141 a factor of 98596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 97 in -3\/20, -0.09, 0.1, 0.5, -0.5, 0.04?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 49 - 45 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of g*r + 499718741*g + 123304125*r wrt r.\nAnswer: g + 123304125","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -221500502 (base 6) to base 13\nAnswer: -aa2b23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/33983358 or 1?\nAnswer: 1\/33983358","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide (-4)\/(-4) - 82\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/3)\/(a*(a\/a**27)\/a))\/(a**(3\/13)*a**14) assuming a is positive.\nAnswer: a**(446\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*m**2 + 0*m**3 - 101*m + 5*m**2 - 5*m**3 + 48*m + 61*m to p*m**3 + r + j*m**2 + h*m and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of k**6\/3 - 7*k**5\/4 + 5*k**4\/12 + 25*k**3\/3 + 360*k. Factor h(t).\nAnswer: 5*t*(t - 2)*(t + 1)*(2*t - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 5*t + 864 - 851, 2*j = -t + 7 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 4:10 AM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2508 is divided by 302?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -12*r**2 + 2*r + 4338. Let v(q) = q. Calculate v(x(t)).\nAnswer: -12*t**2 + 2*t + 4338","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 342582.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 52\/5 of a meter?\nAnswer: 1040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, r: 12}. Give prob of picking 2 a.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-24)\/18*171\/(-6). Suppose f = y + 14. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 19*i**2 + 24*i - 8. Let c be f(18). Suppose 95*g = c*g - 10. What is the lowest common multiple of g and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5*a = 4*h - 20, 25 = 5*h - 3*a. Suppose h*x = 3*g + 215, -4*x + g + 204 = 32. List the prime factors of x.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/1292 and 9\/32?\nAnswer: 10336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 19*i + 3. Let h be l(-12). Let c = -73 - h. Is 4 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k - 1. Does 5 divide f(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**4 - 420*v**3 - 5260*v**2 + 591360*v + 9912320.\nAnswer: 5*(v - 64)**2*(v + 22)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 3*u = 0, -6*u + 3*u - 6 = -3*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 20\/2 - (11 + -9). Suppose -s + 27 = -v. Solve 2 = s*g - 36*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 806797727.\nAnswer: 89, 9065143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -344 (b) 356 (c) -3 (d) -4 (e) 0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 4*s = -32, -5*d + 3*d - 5 = -s. Suppose -35 = j + 4*j - 4*p, -4*p + 20 = 0. Put d, 0, j in descending order.\nAnswer: 0, j, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/6*2)\/1. Suppose 1 - 5 = -2*u. Let n be (2*2)\/(4\/u). What is the third biggest value in n, 0.1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-120))\/(-1)*6\/4.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 375 = -4*s, 0 = 5*s - 3*s + 5*w - 175. Let t = -41 + s. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b\/((b\/(b*(b\/(b**1\/b)*b)\/b))\/b)*b)\/b)\/((b*(b*b**2*b)\/b)\/b))\/(b**(-2\/43)\/b**(-12)))**48 assuming b is positive.\nAnswer: b**(-24672\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -2*x + 4*q + 1052, -4*q = -5*x + 2600. Suppose 5*w + 5*a - 1814 - x = 0, -w + 2*a + 481 = 0. List the prime factors of w.\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 128*w + 1225 = 164*w for w.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120 - 19*g - 120 + 23*g - 14*g.\nAnswer: -10*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.6 - 9.6. Let x = q + 6.00000117. Round x to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -5 - ((0 - 3) + 4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of v - 3*v**4 + 0*v + 0*v + 5*v**4 wrt v.\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7\/25 of a milligram?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -2, 1.67.\nAnswer: -2, 0.2, 1.67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200603 is divided by 33432.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 136100 and 136100.\nAnswer: 136100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 15*((-11)\/5 + 3). Let z = -12 + c. Suppose 5*n - 7 = 3*v - 21, z = 4*n + 4*v + 24. Let t(u) = -u + 4. Determine t(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52096?\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.1 + 6.1. Let d = -0.6 - -3.6. Which is the second biggest value? (a) k (b) -3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4855*m - 9037*m - 6117*m + 73*m - 9982*m to the form p + j*m and give j.\nAnswer: -20208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2613316.999656 + -2613259. Let c = g - 58. What is c rounded to 5 decimal places?\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 13*y**2 + 25*y + 14. Let g(b) = -7*b**2 - 13*b - 7. Let t(s) = 11*g(s) + 6*h(s). Let m be t(-7). Solve -f - m + 2 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 12*h**2. Let j(s) = 38362187*s. What is i(j(r))?\nAnswer: 17659888697075628*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)*-1*-5.\nAnswer: 15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b2 + -11?\nAnswer: a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-18)\/s)\/s**(-2\/31)*((s**9\/s)\/s*s)**(-26))**15 assuming s is positive.\nAnswer: s**(-105525\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.21? (a) -0.3 (b) -0.4 (c) -1\/27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 + 6*l + 7. Let r be d(5). Let q be (8\/(-10))\/(r\/30). Put 4, q, 0 in decreasing order.\nAnswer: 4, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399490230080 minus 0.1?\nAnswer: 399490230079.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -27 and 88023.\nAnswer: 87996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -1534900\nAnswer: 1534898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -225*j + 653641047 - 60991047 = -198*j. Round j to the nearest one million.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 81*j + 7. Let z(h) = -105*h - 9. Let t(u) = -4*k(u) - 3*z(u). Let y(i) = i. Calculate -t(n) + 3*y(n).\nAnswer: 12*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1098 - -1095. Sort s, -5, 5, 3.\nAnswer: -5, s, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 133 in decreasing order.\nAnswer: 133, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 781*q = -772*q + 1524*q + 232 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.7139 - 0.1139. What is the closest to 1 in -3\/4, -0.5, q, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*r - 3*r + 2*r)*(35*r**2 - 75*r**2 + 39*r**2) in the form g*r + n*r**2 + v*r**3 + k and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in -0.04, -0.4, 0.5, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 201510 and 1098?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000013527691274 rounded to 7 dps?\nAnswer: 0.0000135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 7 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00010554 to five decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*v**3 + 9*v**2 - 3*v**3 - 16*v**2 + 11*v**2 - 5*v**3 - 5*v to the form o*v**3 + k + n*v**2 + x*v and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2485898937 to the power of 1\/4, to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 133\/11 - 12. Which is the second smallest value? (a) h (b) 0.08 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n + x + 6, 8*x = 4*x - 8 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -7*y**3 - 3*y + 10*y**3 + 7*y**3 + 16 - 13*y. Let w be 2\/(-1*3\/(-24)). Let v(l) = -2*l**3 + 3*l - 3. Give w*v(b) + 3*k(b).\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1255 + 3265 = 134*r for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5396 or -12?\nAnswer: 5396","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3176 - -19057\/6. Factor 0*j**2 - 2\/3*j**3 + 0*j - x*j**4 + 0.\nAnswer: -j**3*(j + 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000011652821 rounded to 7 decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(637) + sqrt(637) + (sqrt(637) - -3*(sqrt(637) - sqrt(637)*2))**2 - (-1*-1*sqrt(832))**2.\nAnswer: 14*sqrt(13) + 1716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 2*m - 252. Let n(y) = -45*y + 1. Let l be n(1). Let f = l + m. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -47*m**3 - 7*m**2 + 4*m + 16. Is t(-2) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 = -5*h + 2*v, 3*h - 95 = -h + 5*v. Suppose -2*s - h + 98 = 0. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j - 3*b + 56 + 13 = 0, -3*j - 5*b + 11 = 0. Solve 38*a - j*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.09 plus -330?\nAnswer: -345.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (3 + -9 + -5 - 7) + 1 + 6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.699538 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -2. Let v = 13 + -17. Find the common denominator of (-1)\/(v\/50) - n and 76\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/261612 and -61\/22188?\nAnswer: 11249316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2757958459 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/26 - 35260\/1066.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*t + 67 = 292. Let g(q) = -q**3 + 9*q**2 - 16*q - 7. Give g(t).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 c when four letters picked without replacement from {e: 6, v: 4, c: 5}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-123)\/82*75\/20 + (117\/24)\/(-13).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 2:43 PM?\nAnswer: 11:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 270 + 290 = 0. Suppose -138 = -4*s - 42. Calculate the remainder when x is divided by s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3*j**3 + 3*j**2 + 3*j - 9. Let q be g(2). Suppose 2*o - 4*o + 42 = 0. Suppose 0 = -2*w - 7 - o. Is q > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 3*x - 4*f = -18, 3*f + 1 = 5*x. Suppose -32 = 5*w + 5*j + 8, 4*w + x*j = -28. Let c = w - -9. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z - 1. Let f(m) = m - 7. Let k be f(7). Let s be (-2)\/(2 + k)*1. Let b(n) = -1. What is s*t(d) + 2*b(d)?\nAnswer: -d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -318 - -187. Which is bigger: -130 or x?\nAnswer: -130","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 81*p**3 - 465*p. Let s(c) = -5*c**3 + 29*c. Let g be ((-27)\/2 + (-6)\/2)*2. Let o(k) = g*s(k) - 2*x(k). Find the second derivative of o(j) wrt j.\nAnswer: 18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2 - 185*u + 1074.\nAnswer: (u - 179)*(u - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (432\/(-270))\/((-2)\/15). Calculate the greatest common factor of 5460 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of 21*b**3 + 45 - 10*b**3 - 63*b + 47*b. Find the first derivative of m(w) wrt w.\nAnswer: 66*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/(-4)*(-2040)\/13600.\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2169416341 to the power of 1\/2, to the nearest integer?\nAnswer: 46577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -146579\/21 + 6984. Find the common denominator of c and (-11)\/24*6\/3.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 337 equal to -232?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2003 (base 8) to base 7.\nAnswer: 2665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(192) + 3)*3 - (((-2*sqrt(21) - sqrt(21))*1 + sqrt(21))\/(sqrt(7) - (-1*sqrt(21))\/sqrt(3)))**2)*-5.\nAnswer: -120*sqrt(3) - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 687473090 to the power of 1\/2, to the nearest integer?\nAnswer: 26220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 174 = -p. Suppose -2*v = -v - 15. What is the remainder when p is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of -u**7\/273 + 3*u**6\/65 - 129*u - 8. Let i(o) be the first derivative of m(o). What is x in i(x) = 0?\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 244 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 11:02 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + 76*t**2 + 865*t + 104. Let g be q(-62). What is the highest common divisor of g and 2710?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**2 - 1603064*r - 160613386756.\nAnswer: -4*(r + 200383)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -632 = 157*c - 707*c + 1018 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/5329662 and -46\/351?\nAnswer: 47966958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 230*v = 60*v + 15888 + 71152. Let m(r) = 2*r - 8. Let i be m(6). Suppose i*w - v = 348. Does 13 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33409203 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 574740 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b**2 + 3*b - 3. Let j(f) = -3*f**2 + 2*f - 2. Let d = -209 - -205. Give d*k(i) + 6*j(i).\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of m**5\/24 - m**4\/8 + m**3 + 6. Let x(w) be the third derivative of h(w). What is x(3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -751551 by 1437.\nAnswer: -523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -4*i + l, -4*l = -4*i + 16. Suppose 5*r + 8 = 8*r - 2*a, 4*r = -5*a + 3. Suppose 0 = -5*s + 5, r*s - 8 + 0 = 3*d. Put i, 13, d in descending order.\nAnswer: 13, i, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5168621*d**4 - 5168619*d**4 - 1039*d - d**2 - 2*d**3 + d**2 to the form z*d**4 + v*d**2 + p*d**3 + u*d + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 + f**2 + 1. Let b(v) = 6*v**3 - 5*v**2 - 5. Let c = 35 + -108. Let o = 70 + c. What is o*b(t) - 15*u(t)?\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 51277351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*a**3*f*g**2 + 9*a**3*f*g - 9*a**3*g**2 + 5*a**2*f + 17*a**2*g**2 + 3*f*g wrt a.\nAnswer: -24*f*g**2 + 54*f*g - 54*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -49 - -56. Suppose -5*g + 8 = -b. Let k(l) be the third derivative of -l**6\/120 + l**5\/15 + l**3\/2 + 5*l**2. Calculate k(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 116 + -128. Let d be 200\/(-300) + 1 + 2\/x. Determine m so that 0*m + d*m**3 + 0 - 1\/3*m**4 + 0*m**2 + 1\/6*m**5 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 719?\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10 + 4)*30\/(-4). Suppose l = 5*c - 0*c. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-80)\/(-240))\/((-6)\/22*8\/(-72)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -121.6 minus -0.06?\nAnswer: -121.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405) + 0 + sqrt(405))*-5.\nAnswer: -90*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -15*q**7\/7 - 5*q**3 + 14. What is the third derivative of u(c) wrt c?\nAnswer: -1800*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -14.65 and -361390181.\nAnswer: -361390195.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9688797 is divided by 176.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 16) to base 3.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -9 + 54\/7 - -1. What is the nearest to l in -3, -0.4, -3\/2, 55?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 65261 to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to -19489393?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -59*t + 31*t. Solve -5*s + 5 = -2*g, 3*s - 9 = -t for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 146069608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of j**6\/120 + j**5\/10 + j**4\/8 + j**3\/6 - j**2. Let s be a(-6). Let z = 24 + s. Which is bigger: 6 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176250600 divided by -346950?\nAnswer: -508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3*i**3 - 37*i**2 - 113*i - 427. Calculate x(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007082 to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3. Let u(g) = g - 14. Let x(p) = 11*m(p) + 2*u(p). Let h be 3\/(-3)*(3 + -1). Let k be (-6)\/(-18)*(h - 13). Give x(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23260974 to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 46, -7, -46, 10 in ascending order.\nAnswer: -46, -7, -3, 4, 10, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2540418 times 0.1\nAnswer: 254041.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 1 = 4. Suppose t = g + 4*g. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 - 3*c + 12. Let t be l(8). What is the remainder when (-3)\/(-3) - (-36)\/1 is divided by (7\/14)\/(2\/t)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37282 divided by 7\nAnswer: -5326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -9*j. Let p(c) = -6366*c**2. What is g(p(y))?\nAnswer: 57294*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-11 - -10)*(0 + -1087). Suppose 5*j - h - 8 = 0. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 88c?\nAnswer: -889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00031215 rounded to 5 decimal places?\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -98\/187 - -12\/17. Let j be (-5)\/6 - (-1)\/2. Let x = 21\/2 + -10. Sort x, j, i in decreasing order.\nAnswer: x, i, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 8*s**3 - 8*s**2 + 7*s + 6. Let f(z) = 15*z**3 - 15*z**2 + 13*z + 11. Determine -11*d(v) + 6*f(v).\nAnswer: 2*v**3 - 2*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**3\/11 + 8*x**2\/11 - 6*x\/11 - 36\/11 = 0. What is x?\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/4 - (-21)\/2. Let g = 12 - y. Let n(d) = -15*d**2 + 12*d + 12. Let i(u) = u**2 - u - 1. What is g*n(k) + 12*i(k)?\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + -2*13\/(-2). Let x(k) = 47*k**3 + 8*k**2 - 7*k - 4. Let g be x(-3). Let d be (-2)\/(56\/g) - (-1)\/(-7). What is the highest common divisor of d and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (80184\/(-4112))\/((-52)\/184)?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 58 and 60 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 73*p**3 + 2*p - 4. Let a(x) = -73*x**3 - 2*x + 3. Calculate 4*a(w) + 3*j(w).\nAnswer: -73*w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 775 and 775.\nAnswer: 775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of -i**5\/60 - 11*i**4\/24 + 10*i**2. Let k = -36 + 25. Let q be d(k). Solve -20 = -2*p - 2*p, -5*z + 2*p = q for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -3 + 0*m**2 + 0*m**2 + m**2 + 5 - 7*m. Suppose 0 = 2*l + 3*i - 22, -l + 5*i - 3 = 12. Give q(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6482163 (base 9) in base 8?\nAnswer: -15212616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -2. Let r = h - 4. Which is the nearest to r? (a) 2\/15 (b) -0.5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.533 - 0.233. What is the second biggest value in m, -2, -0.15?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - 4*f**2 + 2*f - 13. Let u be z(-5). Suppose 4*c - 8 = u*c. Find the third derivative of -c*g**2 - 19*g**2 + 48*g**2 + 22*g**3 wrt g.\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - -102222001?\nAnswer: 102222000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*s**2 - 76*s**2 - 6*s + 6*s.\nAnswer: -69*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01306 rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6349369?\nAnswer: 13, 503, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*r + 90*r = 54*r - 120 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 - 42*g - 88. Give a(-39).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -214 + 1501\/7. Sort -0.1, t, -7 in increasing order.\nAnswer: -7, -0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by (-2)\/((-8)\/(-36))*(-25)\/5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2568.\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(2\/9))**(-2\/25)\/((i*i**(-3\/8))\/((i\/((i\/i**(-8))\/i))\/i)))**(-1\/12))**(-20) assuming i is positive.\nAnswer: i**(-15557\/1080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8526*m - 8372*m = -99 - 209 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -168 + c**4 - 28*c**2 - 8*c**2 + 1018*c + 168 wrt c.\nAnswer: 12*c**2 - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6027807 to the nearest integer?\nAnswer: 2455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - x - 21 = 0, 0 = -3*f + 4*x + 2 + 55 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1332789949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6016 + -5886. Calculate the remainder when 4285 is divided by v.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 3*z - 25. Let d(w) = w - 12. Give -9*d(u) + 4*s(u).\nAnswer: 3*u + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-2\/9))\/b**(-3\/10) assuming b is positive.\nAnswer: b**(137\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 32.3 and 0.1.\nAnswer: 3.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 50724 and 13362?\nAnswer: 112962348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*q**3*s**3 + q**3 - 38*q*s**4 - 123*q*s - 9*s**2 wrt s.\nAnswer: 12*q**3*s - 456*q*s**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5350184\/(-84)*(-3)\/2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 2:04 PM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 99552076 to the nearest integer?\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7465?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 + 15*c - 143. Determine i(-21).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 526894367 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17462610 by 8731305.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26\/9, -19961, -2\/69 in decreasing order.\nAnswer: 26\/9, -2\/69, -19961","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -45*l - 9. Let p be o(-5). What is the highest common factor of p and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 3*l - 4*f = 7, 4*f + 14 = -2*l. Let c(m) = -m**3 - 11*m**2 - 23*m - 45. Let v be c(-9). Sort 6, v, l in increasing order.\nAnswer: l, v, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*b + 5*t + 2 = -19*b, 10 = 2*b + 2*t for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12649801 is divided by 1192.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (342\/684)\/(((-7)\/28)\/((-5)\/6)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f - 3*s = -7*f + 56, 2*s + 116 = 2*f. Suppose 2*i - 60 = -3*i. Calculate the remainder when f is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13459227655 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 21*y - 116. Determine n(4).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 145\/525 - (-3)\/(-21). Which is smaller: 0 or m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*c**2 + 0*c**2 + 0*c**2)*(-2 + 2 - 2*c) - c + 2*c + 2554*c**3 - 16530*c**3 - 8675*c**3 as s*c**3 + n*c + x*c**2 + w and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -798, -801, -798, -801, -822, -873?\nAnswer: -966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*h + p + p - 27 = -35*h - 7, 0 = 3*p - 15 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Is 1811564281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 7*o**2 - 3*o + 11. Suppose 3*q = 4*s - 32, 0*s - 3*q = 2*s - 16. What are the prime factors of a(s)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -868*s = 879*s - 1732*s + 615 for s.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*t**5\/3 - 146*t**4\/3 - 812*t**3\/3 - 922*t**2\/3 + 388*t + 240 = 0. What is t?\nAnswer: -30, -4, -3, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 10:38 PM?\nAnswer: 6:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -27903*u. Let q(t) = 2*t**2. What is r(q(c))?\nAnswer: -55806*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 9*q - q**2 + 7*q**2 - 2*q**2 - 5*q**2. Suppose 4*s + 4*p = 28, 4*p + 34 = 4*s + 6*p. Calculate the least common multiple of n(7) and s.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -68 and 5.\nAnswer: -340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 50\/20 + 1\/(-2). What is the first derivative of 0*h**4 + i + 3*h**4 - h**4 - 3 wrt h?\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 202439.\nAnswer: 97, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 702?\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 356633039 equal to 356633039?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 1271460?\nAnswer: 6357300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -258*s**3 + 10*s**2 - s + 6. Let b(m) = 256*m**3 - 11*m**2 + m - 7. What is -4*b(g) - 5*h(g)?\nAnswer: 266*g**3 - 6*g**2 + g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1792 by -28.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - k**2 - 8 + 2*k - 5.\nAnswer: -k**2 + 2*k - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + 167642a7?\nAnswer: 167642ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, 26 in decreasing order.\nAnswer: 26, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -439272, -439278, -439284?\nAnswer: -439290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 6 = -4. Suppose -20 - 5 = -2*a - x*l, 0 = 3*a - 2*l - 9. Suppose w - a*w = 0. Solve 4*y - 3*i = i + 4, y - 5*i - 21 = w for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -2\/7 (c) 20 (d) 0.1 (e) -0.006 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3575 + -0.0315. What is h rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/8 and (-10)\/12*(-2)\/(-78)*-6.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 200 and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - 228*f**2 + 254*f - 6145. What is q(227)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -10*k + 8 + 22*k - 8*k - 93500*k**2. Let u be x(-2). Round u to the nearest ten thousand.\nAnswer: -370000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 260\/50 + (-1)\/5. Suppose 3*o + 2*o - 534 = -3*s, -15 = -l*s. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 2*c - 22, 4*s + 6 = -c + 32. Let w be (33 + -36)\/(-1 + 0). Solve 0 = w*j - 5*j - s for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 - -14 - (2 + -7)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 58239?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 16 = -41. Let s be ((-24)\/(-32))\/((-2)\/(-1) + m). Which is the closest to s? (a) 0 (b) -2 (c) 1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3*c**2 - 6*c. Let z = 16 - 12. Let b be l(z). Let q be (-16)\/b - (-2)\/3. Solve 4*h + 5*d + 26 = q, 0 = d - 0*d + 2 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 246\/(-3321) - (-166)\/54. Sort 23, -27, z in decreasing order.\nAnswer: 23, z, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j + 8950 = 491. What are the prime factors of j?\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -47975 - 1350277.299.\nAnswer: -1398252.299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wqqqwwqqwwqwqqwq. Give prob of picking 2 w.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 8 + 6*l + 0*l + 3 - 7 - l**2. Calculate p(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4275\/(-30)*(-2)\/(-162) and -61\/54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 55933.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*u**3 - 6*u**3 + 3*u**3 + (-3*u**2 - 3*u**2 + 7*u**2)*(u - 2*u + 3*u) - 14*u**3 + 6*u**3 - 19*u**3.\nAnswer: -23*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 j when three letters picked without replacement from ttjjtjtt?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.19? (a) 4\/7 (b) 5 (c) -2 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 14490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 435937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -10436699*z**3 + 8*z**2 + 9*z + 1. Let t be m(-1). Suppose 0 = -6*q - 38072699 + t. Round q to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 v when two letters picked without replacement from {v: 5, h: 2, j: 2}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - -49911629.\nAnswer: 49911629.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 - g + 3. Let s be l(3). Let w = s - -18. Suppose 4*k - k - w = 0. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3858 and 21219.\nAnswer: 42438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 5*w = 5, 9*b - 2*w = 7*b + 16. Let o(s) = -7*s**2 - 2. Let n(t) = -t**2 - 3*t**2 - 2 - 2*t**2. Calculate b*o(i) - 6*n(i).\nAnswer: i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -r**2 + 4*r**3 + 27 - 15*r + 14*r - 12 in the form s + v*r**3 + c*r + m*r**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/((-3)\/(-9) - 0). Let l be -2 + 4 - (u - 1). Let h be 1480\/6*45\/l. What is h rounded to the nearest one hundred?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -9987, -9992, -9995, -9996, -9995, -9992?\n\"Answer: x**2 - 8*x - 9980","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16398232 to the power of 1\/3, to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 877153662 a multiple of 203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11339\/(-493))\/((2\/(-48)*-4)\/((-3)\/6)).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 + 3*j - 6. Let s be n(-5). Suppose -3*y + 11 = -s. Is 5 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 8 = -0. Does 6 divide (p - -1)*(4 + -27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11377, -22754, -34131, -45508, -56885?\nAnswer: -68262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.7 - 4. Let d = 0.1 - x. Let s be 0 - 1\/((-4)\/(-3)). Which is the biggest value? (a) d (b) s (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -985, -3749, -8341, -14755, -22985?\n\"Answer: m**3 - 920*m**2 - 11*m - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1374321, -2748622, -4122925, -5497230, -6871537, -8245846, -9620157?\nAnswer: -10994470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25 - (-1 + -12)) + (21 - -4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 3*s - 27, -4*s + 17 = 5*d - 23. Let v = 19 - d. Let j = v - -3. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38678605 is divided by 38678582?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**2 + 62*g + 60. Let b be u(-30). Suppose 20*y - 26*y + 72 = b. Solve 6*w = 4*h + 2*w + y, 2*h = w - 3 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-3 + 0 + 0 + 2 + 2*sqrt(300) + 4))**2.\nAnswer: 120*sqrt(3) + 1209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1252561 to the nearest integer?\nAnswer: 1119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 200, 178, 142, 86, 4, -110, -262?\nAnswer: -458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-11 - -8)\/((-3)\/(-214)). Let n be (-1)\/((-2)\/j) + (-10)\/(-5). Let x = n + 194. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -19) + (1829 - 1859)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1227495719?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 53782482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7197 is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13 + 311?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-1))\/((-222)\/(-888))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 277969*n**3 + 38893*n**3 - 44074*n**3.\nAnswer: 272788*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 1 = -2*o. Suppose 0 = o*g + g. Suppose 0 = -2*r + w + 36, g*r + 5*w = 4*r - 72. What is the highest common divisor of 9 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8 + 9ad?\nAnswer: 9b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*5\/6 - -3. Let w(c) be the second derivative of o*c**2 + 1\/6*c**3 + 0 + 3*c - 1\/12*c**4. Let q(p) = p**2 + 2*p + 1. Give -q(v) + w(v).\nAnswer: -2*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + 31*b**2 + 35*b + 154. What is k(-30)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4.8*-5\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (37 - -76 - 33) + -1?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18586, -18585, -18584, -18583?\nAnswer: -18582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 + 4)*(1 - 2). Let o be -3 + ((-20)\/(-4) - z). Solve -3*f - 7*a + 2*a = 32, o*f = 2*a for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**5 + 0*p**5 + 0*p**5 + (4*p**3 + 4*p**3 - 7*p**3)*(2*p**2 + 2 - 2) + 45*p - 6721*p**5 + 67*p + 6717*p**5 + (-3 + p + 3)*(-4*p**4 + p**4 + 4*p**4).\nAnswer: -2*p**5 + 112*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3043 (base 5) to base 8.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -257 - -164. Let r be g\/(-12) - (-42)\/(-56). Solve -4*a - 4*t = a + r, 10 = -2*a + 2*t for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03737 take away 4?\nAnswer: -4.03737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - ((-3)\/(-12) + 75\/(-12)). Suppose 0 = 2*h - r - 2 - 1, z*r = -h + 12. Solve 4*w + 19 = -3*g, -h*g + 5*w = 3*w + 13 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -188, -378, -568, -758, -948, -1138?\nAnswer: -1328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 16050 divided by 1\nAnswer: 16050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l + 17*l**2 + 3*l - l.\nAnswer: 17*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a minute in milliseconds?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 c when three letters picked without replacement from hchcnxncqxnqqchhxc.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 97 - 62. What are the prime factors of u?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 2:01 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from elkkkkxkxlxek. Give prob of picking 3 k.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(5\/1))\/(88\/4)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g - 2. Let c(k) = 2*k + 5. Let u(p) = 4*c(p) + 10*j(p). Let i(m) = 20*m. Determine i(u(h)).\nAnswer: -40*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = -10*q + 5*h - 17, 3*q + 2*h = -31. List the prime factors of (q\/3 - -2)*(-529)\/1.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.25 and 0.059?\nAnswer: 0.309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*4\/(-20) + 354732246\/410 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -80*v**2 + 1012*v + 3. Let w be l(8). What is the highest common divisor of 9 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -98*n**2 + 6*n*s**2 + 27*n*s - 784*n + 301303686*s**2 wrt n?\nAnswer: -196*n + 6*s**2 + 27*s - 784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/((-27)\/2))\/1.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 482?\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/9*9*3\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 5*i + 4 = 0. Let p be (8 - i)*(-2 + 5\/2). List the prime factors of p\/(2\/(784\/12)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 363.073552\nAnswer: 368.073552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2975392 and 280?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n*n\/(n\/(n\/n**(-7\/2)*n))))**46\/(n**(-1))**23 assuming n is positive.\nAnswer: n**(-184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 18248666 rounded to the nearest one hundred thousand?\nAnswer: 18200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -33504*k - 234690. Give i(-7).\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 8 (b) 2\/3 (c) 0.7 (d) 190\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 take away 8.13?\nAnswer: -7.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 10 + 103. Let p = 0 + 8. What is the remainder when l is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + 8*s**2 + s - 4. Let x(r) = -r. Let t(h) = q(h) + 2*x(h). Calculate the lowest common multiple of 7 and t(-8).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 7 = 3. Suppose -2*p = p - 9. Suppose -3*v = 5*q + 21, 0*v - 18 = 4*q + p*v. Which is the smallest value? (a) h (b) q (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f**3 + 2*f**2 + 2*f - 2. Let o = 69699 + -69705. Let v(j) = 4*j**3 + 2*j**2 + 3*j - 3. Let c = -7 - -11. What is c*v(d) + o*l(d)?\nAnswer: -2*d**3 - 4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 4, -4*a - 5 = 3*c - 2. Let z be (-1 + a - 2) + 7000003. Suppose z = l + l. Round l to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-8))\/((-5341)\/2616)*70\/(-30).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 + -19. Suppose -s*f = -8*f + 270. Is 34 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fvhwdiv. What is prob of picking 1 f, 1 h, and 2 v?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3)\/24 + -9 + (-438578)\/(-47824) and 103\/6.\nAnswer: 2562","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21955833 divided by -6\nAnswer: 7318611\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**4 - 990*u**3 + 210357*u**2.\nAnswer: -3*u**2*(u - 147)*(u + 477)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 508745747 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/4 (b) -0.4 (c) -471.2 (d) -0.1 (e) -1\/2 (f) 2 (g) 41\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(114) + (sqrt(114) + 3*sqrt(114))*6)\/(sqrt(864)\/sqrt(9) + sqrt(6)))**2.\nAnswer: 50*sqrt(19) + 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0916 to two dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u\/((u\/(u**6\/u)*u)\/u)*u)*u)\/u**(-3\/2))**(-43) assuming u is positive.\nAnswer: u**(301\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 18*n**2 + 50*n**3 - 17 - 90*n**3 + 17*n + 41*n**3. Let m = -32 - -18. Is v(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - p + 0 + (-2 + 1 + 3)*(3 + p - 3))*(-31*p - 56*p + 24*p).\nAnswer: -63*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 137610 and 17160.\nAnswer: 7155720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -8. Let r(t) = -2*t + 1. Determine r(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -2*o**5 - 131534*o**4 - 2883707550*o**3 - 21078939551706*o**2 - 84269627303688*o = 0.\nAnswer: -21921, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -54.5 - 139.5. Let z = g + 191. Which is the nearest to 2\/5? (a) 2\/13 (b) 3 (c) z (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -307 (base 15) to base 14\nAnswer: -36a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 304209 (base 10) in base 16?\nAnswer: 4a451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-138)\/(-9))*(34 + 4020\/(-120)) - -10.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r - 2. Let a(f) = f**2 - 3*f. Let k be a(3). Let s be g(k). Calculate the remainder when 19 - (s + (-3 - -7)) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*r = -16*r - 16520. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2014813 (base 11) in base 14?\nAnswer: 68ac05","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 68964580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -509, -812, -1119, -1430, -1745?\n\"Answer: -2*q**2 - 297*q - 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(272)*2 + (sqrt(68)*-1)\/sqrt(4))**2*3.\nAnswer: 2500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30 - -32. Suppose -q - d = -224, 5*d + 618 - 184 = x*q. Suppose -5*z + q + 1018 = 5*s, 5*s - 5*z = 1270. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118936392 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -726*z**3 + z**2 + z + 1. Is m(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3153102 or -3153100?\nAnswer: -3153102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -14790 to the nearest 1000.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -5*d + 3. Let a(r) = -10*r + 6. Calculate 4*a(h) - 9*j(h).\nAnswer: 5*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -0.1 (c) -0.5 (d) -38\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 22 = -12 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 537607 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12801 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9493832 and 1186729?\nAnswer: 9493832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**2. Let u(x) = 10*x - 16. Calculate p(u(w)).\nAnswer: -200*w**2 + 640*w - 512","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 76 (b) -1\/113 (c) -0.3 (d) -2\/3 (e) 11 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/102660 and 83\/161356?\nAnswer: 142800060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 10*k - 2. Let r(b) = -15*b + 3. Suppose 3*h - 5*u - 31 = 0, -3*h - 4*u + 11 + 2 = 0. Let f(v) = h*i(v) + 5*r(v). Give f(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = -234*s + 262*s. Put 0.12, -0.2, 5, -1, s in increasing order.\nAnswer: s, -1, -0.2, 0.12, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 48*t**2 - 17*t + 8. Let x(w) = -24*w**2 + 9*w - 4. Let h(r) = -4*v(r) - 7*x(r). Let a be h(8). What is a rounded to the nearest 100?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (98 - 333 - 486 + 3)*(n**2 - n**2 + n**5).\nAnswer: -718*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 2:22 AM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6856?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2013*l + 32214. Give i(16).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12) + sqrt(12) + (sqrt(588) - 3*sqrt(588)))\/((sqrt(42) + (sqrt(42) - sqrt(1050)))\/sqrt(7) - sqrt(6)))**2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 245 = 4*t. Does 7 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, m: 4, l: 2, b: 2, d: 1, v: 7}. Give prob of sequence sb.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 divided by -10?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**4 - 7222416*a**3 + 144449220*a**2 - 722247600*a.\nAnswer: -3*a*(a - 10)**2*(a + 2407492)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 62037?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -3, -358 in decreasing order.\nAnswer: 3, -2, -3, -358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 4*t + 16 = 0, 0 = -2*g - 3*t - 0*t + 14. Suppose -5*p + 16 - g = -4*n, 2*p = 4*n. Solve n*y + 0*y = -10 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-10)\/(-15))\/((-1)\/(-6)). Suppose 2*m - 16 = z*c, c + 20 = 5*c. Calculate the remainder when 53 is divided by m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1104 divided by 368\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+1368.051\nAnswer: 1367.551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -111*j + 112*j + 3*j**3 - 4*j**2 + j**2 - 16*j**2 to b + l*j**3 + f*j + h*j**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*y**2 - 9*y - 4*y**2 + 20*y + 90 - 11*y in the form a + k*y**2 + s*y and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1735272, 1735264, 1735256, 1735248, 1735240, 1735232?\n\"Answer: -8*c + 1735280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nunnun. What is prob of sequence nnu?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/(-30) + (-46)\/10. Let w = t + 8. Let u = -6.153 - -0.153. Put w, u, -0.5 in descending order.\nAnswer: w, -0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/3*15\/40.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 158 a factor of 406850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 56\/57 and -79\/2508.\nAnswer: 2508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + 1da?\nAnswer: 1dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*t - 2*t + 8*t + 3*t.\nAnswer: -9*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 382 - 195 - 6*d**2 - 173.\nAnswer: -6*d**2 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 3*w - 1, w + 9 = y + 6*w. Let p = -16635 - -16626. Which is the third biggest value? (a) 5 (b) p (c) y (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-3)*6\/(-56)*4\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 25420 + -351?\nAnswer: 25036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - (-7)\/(7\/6). Suppose 4*l - 74 = -k + y*k, -4*k + 4 = 0. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28305\/(-2997) + (1\/6)\/((-60)\/(-160))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -11*o + 86. Let n be l(6). Suppose -70*y + 80*y = n. Put 4, -3, y in descending order.\nAnswer: 4, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 3626 = 20310. What is the hundreds digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in six fifths of a millennium?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 226448513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/3))**(-28) assuming u is positive.\nAnswer: u**(28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/9*(-78)\/91?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 6*u = -107, -22*z + 85 = -17*z - 5*u for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -7, 14\/97?\nAnswer: 14\/97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2934 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/3 + 8*l\/3 + 8.\nAnswer: -2*(l - 6)*(l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216 = 921*x - 903*x. Solve -5*b = o + 18, 7*b - 6*b + x = -3*o for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -1428*f + 132. Let b be ((-38)\/(-6))\/(-7 + 220\/30). Let t be o(b). Round t to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u**4 + 6537*u**3 - 52473*u**2 + 32847*u + 91854 = 0 for u.\nAnswer: -2187, -1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-3) + 3\/21*-9. What is the nearest to 1 in 0.2, -53, q?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 13865, 48517, 106263, 187097, 291013?\n\"Answer: -a**3 + 11553*a**2 + 2313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(2156) - sqrt(2156))\/(sqrt(288)*2))\/((sqrt(1100) + 3*sqrt(1100)*2 + sqrt(1100))*3))**2*-2.\nAnswer: -49\/2073600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.06? (a) -1\/17 (b) 424 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -151306, -146211, -141106, -135985, -130842, -125671, -120466?\nAnswer: -115221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 8\/45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-10)\/6)\/(1\/3). Let r(s) = s**2 - 4*s - 1. Let k be r(3). Put 0, u, k in descending order.\nAnswer: 0, k, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*j - 14 + 14.\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mkm when three letters picked without replacement from {d: 1, p: 1, m: 3, n: 2, v: 1, k: 3}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37371?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.472 + -0.528. Put c, -1\/6, -0.4, -17 in descending order.\nAnswer: -1\/6, -0.4, c, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -8876, -18047, -27218, -36389?\n\"Answer: -9171*c + 295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of f**2 + 4*f + 86. Calculate c(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 144934 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {w: 1, l: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157 is divided by 19.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8437937 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 619127626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 931?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 5*r = 975, -2*r = -r + 3. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 23 = -8*b. Suppose 11 = 2*z + 9. Sort -1\/4, 3, z, b in descending order.\nAnswer: 3, z, -1\/4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 0) + (-2 - (15 + -7 + -1)) + -22\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 32, 4, 2.913?\nAnswer: 2.913","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 380*b**2 + 1.\nAnswer: 380*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of -v**4\/6 - 171*v + 105. Let x(j) be the first derivative of g(j). Let t(o) = -4*o + 1. Give t(x(l)).\nAnswer: 8*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22530 - -4?\nAnswer: -22522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3232 = -3*i + 4*j, 3664 = 5*i + 3*j - 1742. Suppose 4 = -k, 3*l + 4*k - 3464 = -i. Is l a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 532867793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(3 + (-4 + 0 + 3 + (sqrt(245) - (sqrt(245) + 2)*-3))*-3))**2.\nAnswer: 50400*sqrt(5) + 885600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2654 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 3. Let w(i) = -i**2 + i. Let t(m) = -m**2 + 2*m + 8. Let u(s) = k*w(s) + t(s). Calculate the remainder when 14 is divided by u(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 2*o**4\/7 - 64394*o**3\/7 + 1994224*o**2\/7 + 312488*o - 4117248\/7 = 0.\nAnswer: -2, 1, 32, 32166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y. Let f(a) = a**3 - 7*a**2 - 16*a - 12. Let g be f(9). Let k(q) = -16*q + 3. Let z(m) = g*t(m) + k(m). Calculate z(2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/100 or 1?\nAnswer: -7\/100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of 7*v**4\/3 + v**3\/6 + 4*v**2 - v - 17. What is the hundreds digit of y(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10673833 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 1. Suppose 4*u = -4*m - 4, 5*m + 16 = 9*m - u. Differentiate -5 + 2*q**3 - q**3 + n*q**m wrt q.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - 17*r**2 + r + 19. Let l be k(-17). What is the second derivative of -157*h + 4 - 2 - 80*h**2 + 72*h**l - 2 wrt h?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 106, 983, 2444, 4489, 7118, 10331?\nAnswer: 14128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 5*n - 152, 4*g + 68 = -n + 4*n. Let d = -3 - -45. What is the greatest common factor of d and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 46 - 46. Sort t, 4, -0.37 in descending order.\nAnswer: 4, t, -0.37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/30)\/((-41860)\/(-3588))*(-1 - 1).\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 2:11 PM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + ((-1)\/(-1) - -1). Suppose h + 8 = -3*j, 24 = -q*h + h - j. List the prime factors of (6\/h)\/(2\/(-32)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 303 is divided by 264.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35 + -35. Suppose 2*u - 30 + 2 = g. Calculate the lowest common multiple of u and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151*n**2 + 148*n**2 - 91434 - 300*n**2.\nAnswer: -n**2 - 91434","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -13*h**3 + 4417*h**2 + 1026*h - 1990. Give l(340).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/(3\/(-1)))\/(-1). Let r = -11.04 + 11. Let k = r + 0.34. Which is the second smallest value? (a) -4 (b) k (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 3. Solve 5*g = 3*v + 2*v + 5, 4*v - 2*g = r for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 246286?\nAnswer: 2, 123143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/((c\/c**30)\/c))\/c*c**15\/c)**(2\/31))**28 assuming c is positive.\nAnswer: c**(2464\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-84)\/(-2450))\/((2280\/38)\/(-20)).\nAnswer: -2\/175","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 831672896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*r = -50. Let n = 24 - 14. Calculate the lowest common multiple of r and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14650 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.43 and -0.007?\nAnswer: 0.00301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 0.3863093?\nAnswer: 1.9315465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 13306, 105889, 357186, 846553, 1653346?\n\"Answer: 13226*u**3 + u**2 - 2*u + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23410211 (base 5) to base 13.\nAnswer: -775bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 9:56 PM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (116\/(-10))\/((-16)\/1880)?\nAnswer: 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 6*w + 25 = 0. Suppose -2 = 6*d - w*d. What is the nearest to d in 0, 0.3, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.13744 + -613.83744. Round w to the nearest 10.\nAnswer: -610","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-6)\/(m\/(m*m**(5\/3)*m)*m*m))**35 assuming m is positive.\nAnswer: m**(-560\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60)\/(-18) - 6\/(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l - l - 2*l**3 + (-2*l + l - l)*(-3*l + 2*l**2 + 3*l))*(-13*l + 3*l + 608 - 606) to the form b*l**4 + i*l**2 + m*l + j*l**3 + v and give b.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 864 and 1242?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 1.5. Suppose -3*a + 4 = 2*r - 5*a, 0 = -4*r - 5*a - 1. What is the nearest to r in 3\/4, -1, v?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - -6. Suppose -4*v = 5*l - 3 - x, 4*l - 11 = -3*v. Suppose 4*t - t - b = 38, -78 = -5*t - l*b. What is the least common multiple of 4 and t?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6523*v - 7345 wrt v?\nAnswer: -6523","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = 5*k - 18. Is 5 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 11 = 3*r + 37, 15*r + 255 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1066, 2133, 3200, 4267, 5334, 6401?\nAnswer: 7468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of -d**4\/8 - 2*d**3\/3 - d**2. Suppose 4*b = r + 35, 4*b + 0*r = 2*r + 38. Let k = -12 + b. Determine n(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 166 - 165.99265. Round x to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -11*s + 49. Calculate the lowest common multiple of s and 3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -13, 0.3, -2\/111, -11.7 in descending order.\nAnswer: 0.3, 0.1, -2\/111, -11.7, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1398623.\nAnswer: 1398623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(12)\/sqrt(2) - sqrt(6))*4)\/(sqrt(2) - (sqrt(2) + -2*sqrt(2)*2)) + 1 + -4)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.21147799492 take away 1?\nAnswer: -0.78852200508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 72093769 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of -3\/4*a**4 + 0*a**2 + 33\/80*a**5 + 1\/112*a**7 - 4*a - 1 - 1\/10*a**6 + 9\/16*a**3. Suppose i(p) = 0. What is p?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2241688 and -10.\nAnswer: 2241678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 12:22 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2. Let r(w) = -w**3 + 4*w**2 + 2. Let m(f) = -f**2 - 12*f + 4. Let u be m(-12). Let p be r(u). Let j(v) = -v**p + 19 - 19. What is j(k(l))?\nAnswer: -l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of -q**4\/4 + q**3 + 3*q**2 - 6*q + 3. Let a be t(4). Differentiate -d + 2*d - d + a*d**2 + 3 with respect to d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 27\/4 of a meter?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11882421*b**5 - 4901*b**2 + 395*b - 1?\nAnswer: -712945260*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 2*u**2 + u + 87. Let y be c(0). Let b be (-2 - y\/(-42))*(3 - -1). Factor -b*k + 2\/7*k**3 + 0*k**2 + 0.\nAnswer: 2*k*(k - 1)*(k + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + 9*h**2 + 13*h - 2. Let q be z(-7). Let k be 0 - (111\/(-21) + q). What is the closest to k in 0.4, 5, 46?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 5*i + 3*i - 4818 = 0, 5*i - 5 = 0. List the prime factors of d.\nAnswer: 5, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14272898 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r + 56*r**3 - 2*r - 66*r**3 + (0*r + 4*r - 6*r)*(0*r**2 + 3*r**2 - 4*r**2) - r + r**3 + r.\nAnswer: -7*r**3 - 3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 2*q + 4 - 1.\nAnswer: -2*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttttttttttttj. Give prob of picking 2 t and 1 j.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(0 + (-6)\/(-4)). Suppose -4*m + 13 = t*f + 1, m = f + 6. Suppose -21*n + 20 = -17*n. Put n, 0, f in decreasing order.\nAnswer: n, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 3\/7, 3, 4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/30 - 2\/(-12). Suppose -5*z + 495 = -0*z + r, -z + r + 93 = n. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + 4 + -9 + 27 + -29 + 10.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 1, 23, -162, 4, -3 in ascending order.\nAnswer: -162, -3, 1, 4, 8, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 4, 2525017 in ascending order.\nAnswer: -7, 4, 2525017","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + -14?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (38 - 78) + -7 + (6 - 5)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1332 (base 4) to base 10.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of l**2\/2 + 6*l - 2. What is the first derivative of g(r) wrt r?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 109187 and 1924.\nAnswer: 436748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -d + 5, -2*d = 2 + 8. Suppose -8 = -4*o - t*v, 4*o + 7*v = 4*v + 6. Calculate the remainder when 10 is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -121.4159569 to 1 dp.\nAnswer: -121.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 930 a factor of 81477300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - 2*x**2 - x. Let c(v) = -v**3 + 9*v**2 - 10. Determine 2*a(i) - c(i).\nAnswer: -i**3 - 13*i**2 - 2*i + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 17\/4 of a meter?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + 6*w**2. Let k be n(-6). Let p(y) = y**2 - 41*y - 42. Let i be p(-1). Solve -5*j - c + k*c + 2 = i, -13 = -4*j + 3*c for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 729177*a**4 - 1519807*a**2 wrt a?\nAnswer: 17500248*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 21 = -1. Calculate the smallest common multiple of (-82)\/q - (-4 + -1)\/(-10) and 6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n + 5*n + 3*n + n - 3*n**3 as v*n + j*n**3 + l + i*n**2 and give v.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 50*b**2. Let v(z) = -5110*z**2. Determine m(v(p)).\nAnswer: 1305605000*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, b: 8, f: 11}. What is prob of picking 1 e, 1 f, and 2 b?\nAnswer: 308\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -118837, -237675, -356515, -475357, -594201, -713047?\n\"Answer: -f**2 - 118835*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3080297*r + 36963571. What is x(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.3011168 tonnes?\nAnswer: 301116800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -125 + 178. Let m = 405 + -344.8. Let z = m - r. Round z to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6663*u = -6742*u - 5925 for u.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 664883.\nAnswer: 29, 101, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 3*z**3 - 6*z**2 - 2*z + 1. Let b(g) = -5*g**3 + 8*g**2 + g - 1. Calculate 2*b(f) + 3*m(f).\nAnswer: -f**3 - 2*f**2 - 4*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 0 = -4, -3*l - 7 = f. Let u be (-5)\/(-1) - 2 - -2. What is the closest to f in 1, -4, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 316 divided by 197092.\nAnswer: 79\/49273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 578074, 1156163, 1734276, 2312419, 2890598?\n\"Answer: z**3 + 6*z**2 + 578064*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, n: 3, v: 1, h: 1, q: 1, c: 2}. What is prob of picking 3 q?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 109*i - 175. What is the remainder when 1886 is divided by v(2)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41638.\nAnswer: 2, 109, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1864580 rounded to the nearest 10000?\nAnswer: 1860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -80\/3 - -27. Suppose 5*k + 10 + 15 = 0. Which is the closest to -1? (a) -0.1 (b) d (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -105 + 104.9. Which is the nearest to 5? (a) -3 (b) -1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, y: 17, k: 1}. What is prob of sequence yyy?\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43906470 divided by -39378.\nAnswer: 1115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (3 + 1 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h - 18 + 2*h + 5*h)*(0 + 5 + 0)*(-h + h + h).\nAnswer: 10*h**2 - 90*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 13 = 4*i, -346*i = 2*n - 342*i + 2 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 27\/(-18) + (-1)\/2. What is the common denominator of -127\/12 and ((-49)\/24 - a)*(-1284)\/(-18)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62524, -499846, -1686906, -3998572, -7809712, -13495194, -21429886?\nAnswer: -31988656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 3)*(398*x - 2893 + 2893)*(-4*x + 2*x - x).\nAnswer: 1194*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 9, w - 17 - 14 = o. Solve -s + 12 = 2*b + s, -3*b = 5*s - w for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/((-10)\/4288) + -3 + 5. Suppose -5*g = -2*c + 2143, -11*c + s = -9*c - 4*g. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 364905 to the power of 1\/2, to the nearest integer?\nAnswer: 604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 10, 14, -5.\nAnswer: -5, 0, 10, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(68) + -1*sqrt(68))\/sqrt(4) + (6*sqrt(119)*-2)\/sqrt(7) + 1.\nAnswer: -12*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 AM and 10:56 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -182, -369, -558, -749, -942, -1137, -1334?\n\"Answer: -o**2 - 184*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of 0 + 1\/20*l**5 + 7\/6*l**3 + 1\/2*l**2 + 7\/12*l**4 - 8*l. Calculate a(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3.4 and -82874939725?\nAnswer: 82874939728.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1422*m + 1366*m + 616 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 4 + -4 - (8 + (1 - 9) + 5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of g**7\/3780 - g**6\/20 + 81*g**5\/20 - 6*g**4 + 7*g**2. Let r(n) be the second derivative of b(n). Find l, given that r(l) = 0.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 532708 = 27*s - 168725. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 22. Which is smaller: m or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 287, 564, 827, 1076, 1311?\nAnswer: 1532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1418*q**3 + 467*q**3 + 472*q**3 + 460*q**3.\nAnswer: -19*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 451796 to the nearest integer?\nAnswer: 672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -62\/15266097 and 103\/10904355.\nAnswer: 76330485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -173\/9840 and 145\/2952?\nAnswer: 29520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 6 = -0*x. Let q be 3 + x - 2*-1. Solve -6 = -q*v - 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7608 divided by -12\nAnswer: 634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in eleven halves of a millennium?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 58 and 3393?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 6705?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 198722.\nAnswer: 2, 67, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15853, -15852, -15851, -15850?\nAnswer: -15849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4563158?\nAnswer: 2, 2281579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*n + 0*n + 2*n)*(-16*n + 131 - 90 + 31*n)*(-n**2 - 2*n + 2*n) as a*n**2 + b*n + m*n**3 + z*n**4 + p and give z.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 19*u**2 + 3*u - 6. Let r(x) = -132*x**2 - 20*x + 40. Let k(b) = -20*g(b) - 3*r(b). Let v(j) = -8*j**2. What is v(k(y))?\nAnswer: -2048*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 24729 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -260*z - 114 = -222*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2414 - 2410. Let a(q) = -q**2 - 2*q + 5. Let g be a(-5). Is 6 a factor of (11 - 293)*(g\/b - -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 + 82 = -28*d - 205 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 67\/5 of a litre?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.045 - -0.365. Let r = t - 0.01. Sort -2\/5, r, -5 in increasing order.\nAnswer: -5, -2\/5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 2096238.\nAnswer: 2096238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*3 - (6 - 9). Let j = -3.08 + 3.1. Let h = -0.12 + j. Which is greater: r or h?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 2. Suppose -56 = -3*m + q, -2*q - 93 = -5*m - s*m. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mrpr when four letters picked without replacement from {p: 3, a: 2, r: 4, v: 1, m: 1}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*v**2 + 3*v**2 - v**2 + 60*v**2 + 82*v**2 + 75*v**2 - v**2 - 4*v**2 - v**2 + (0*v - v + 2*v)*(-6*v + 3*v + 2*v) as c + s*v**2 + z*v and give s.\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1188932\/5 at most as big as 237787?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-18)\/(-42) - 18\/21*-10. Suppose -467 - 6076 = -s*i. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 205.3618 to one dp.\nAnswer: 205.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, -100, -0.13, 2\/9, 6, -5 in ascending order.\nAnswer: -100, -5, -0.13, 2\/9, 6, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 376835983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-78)*5\/((-140)\/42).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3345 is divided by 397?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 25, 29, 15, -17?\n\"Answer: -9*n**2 + 31*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 28653 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v*v**(-3\/2)*((v\/(v\/(v**(-1\/29)*v)))\/v*v*v)\/v*((v**(-2\/103)\/v)\/v*v)\/(v\/v**12) assuming v is positive.\nAnswer: v**(68379\/5974)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.044 + 0.056. Which is the nearest to 3\/5? (a) -1\/4 (b) 0.4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8269.\nAnswer: 8269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -75563, -151129, -226695, -302261?\n\"Answer: -75566*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 8) + (17 - (1 + 12)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4\/7 (b) 0.3 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a - 1. Let s(w) = 6*w + 18. Let k(y) = 8*g(y) + s(y). Let z be k(0). Suppose -z*d - 138 = -12*d. What is the remainder when d is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 20648 = 4*v + 12*v - 58344. List the prime factors of v.\nAnswer: 4937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) -8 (c) 0.3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-4*(sqrt(170)*-1 - sqrt(170)) - sqrt(170))\/(2*(sqrt(5) + sqrt(5)*1 - sqrt(5))))\/(sqrt(512) + (sqrt(512) - 2*sqrt(512)*-5) - sqrt(512)).\nAnswer: -7*sqrt(17)\/352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -293975 or -293981?\nAnswer: -293981","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and 1927509 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/18 - 122\/36*-2. Let i = b - 20\/3. Factor 1\/3*f**2 - i + 1\/3*f**3 - 1\/3*f.\nAnswer: (f - 1)*(f + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1358.854 litres in millilitres?\nAnswer: 1358854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 219100 + -140?\nAnswer: 218960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 760505 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -16*(39\/(-54) + (-8)\/(-36)). Let d(l) = -l**3 + 8*l**2 - 6. Calculate d(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 2\/11 (b) 1\/2 (c) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (-6 - -2) - (35 - 58).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**2 + 2*p + 1. Let x(d) be the third derivative of 3*d**5\/20 + d**4\/3 + 5*d**3\/6 + 20*d**2 + 49*d. What is 26*u(j) - 6*x(j)?\nAnswer: -2*j**2 + 4*j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -883290 divided by 176658\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 17*z + 1699. Let x(q) = -4*q - 421. Calculate 2*s(v) + 9*x(v).\nAnswer: -2*v - 391","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 12:04 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -439 - -895. Does 76 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*z**2 - 11*z**2 + 4*z**2.\nAnswer: -22*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28.17936 - -28.2. Let k = 0.020645191 - z. What is k rounded to 7 dps?\nAnswer: 0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 2 = 3*u + 4, -3 = 3*u + 3*d. Let v(g) = -258*g - 2836. Let s be v(-11). Solve s*o + 8 = -u for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 263229 is divided by 192.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4185396 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -3*z**2 + 75*z - 66. Let i be q(24). Let v = 17 + -8. What is the highest common divisor of i and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 334 = 2*o - 754. Suppose 5*c - o = -z, z + 5*c - 4*c = 552. List the prime factors of z.\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4312, -8251, -14816, -24007, -35824, -50267?\nAnswer: -67336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 70*v - 1238. Let h be g(20). Put 4, h, 5 in increasing order.\nAnswer: 4, 5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*s - 3*s - s)*(-s - 2 + 0 + 5)*(s + s - 4*s) + 113*s**3 - 133*s**3 + 343*s**3 + (1 - 5 + 2)*(-s**3 - 2*s**3 + 2*s**3) + 6*s**3 - 2*s**3 - 2*s**3.\nAnswer: 333*s**3 - 18*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -14 + (56 - (4 - -7)) + -1.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 PM and 10:25 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -15931 equal to -4412948\/277?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -59 + 5920\/(-160) - -190.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 340 and 204.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3425.46 + 296.02. Round x to the nearest one hundred.\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0*4*5\/20. Let w be (-1 - -3)\/(4\/10). Put -5, x, w in decreasing order.\nAnswer: w, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80241 is divided by 26379?\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 9:05 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 344292595 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i + 19*i - 252 = 0. Find the second derivative of 0*h - 25*h**4 + 28 - 6*h - i wrt h.\nAnswer: -300*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -87*w**2\/2 + 36456*w - 2514.\nAnswer: -3*(w - 838)*(29*w - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -11079158 smaller than 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 767807.4 minutes to nanoseconds.\nAnswer: 46068444000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 2*z - 6*z = -105, 0 = -z. Is (-68)\/(-6) + 7\/u even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44235*p = 44804*p - 25605 for p.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 21, 5, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2561 = -552*z - 216*z - 2047 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -188 - -190. Let g(p) be the first derivative of 0*p + p**w + 1 - 2\/3*p**3. Find the second derivative of g(y) wrt y.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-4\/11)\/r*r)\/r**6)\/(r**(2\/9))**(-50) assuming r is positive.\nAnswer: r**(470\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -433, -1046, -1601, -2068, -2417, -2618?\n\"Answer: 5*s**3 - s**2 - 645*s + 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -657695 or -657717?\nAnswer: -657695","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 8) to base 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((54\/15)\/3)\/(4\/10). Solve 2*o = 3*b + 5*o, -3*o - h = 2*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8847229 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 59*k**2 + 9*k + 2. Determine s(-1).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3003 by -91.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 6*c - 3*i - 183, 3*c - 110 = 2*i. Is c a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rp when two letters picked without replacement from prkhhhrkrrprkrkkr.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 1194*g**3 - 15*g**2 + 34*g - 8. What is the units digit of c(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 577 divided by 82.\nAnswer: 577\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 443204 + -12?\nAnswer: 443142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 - -16. Suppose 0*q = -k*q. Find the second derivative of 5*u + q*u - 2*u**4 - 3*u**4 wrt u.\nAnswer: -60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7 + (1 + -1)\/5. Suppose 29*p - 3102 = j*p. List the prime factors of p.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 + -9. Suppose -k + 28 = 3*q. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 0. Suppose t - h = 5. Solve 0 = -0*v + 3*v - t for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**5\/15 + 2*c**3\/5 + 4*c**2\/15 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*w - 630 - 344 = 2851 - 588 for w.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1932?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -94*b**2 - 2254*b - 137. Give u(-24).\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2993\/4485 + 1\/1495. Let t = -111 - -557\/5. Which is the third smallest value? (a) t (b) -1 (c) -2 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - w - 12. Let n be (-2 - 0 - -260) + w + 6. Suppose 0 = -l + 952 + n. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-175)*-5)\/((-5)\/((-30)\/(-12)))\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5*p = -188. Calculate the remainder when p is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h**2\/5 + 49860536*h\/5 - 49860537\/5 = 0. Calculate h.\nAnswer: -49860537, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 6*w = -90. What is the greatest common divisor of 20 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6875 divided by 625\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5686?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + p + 4*i = 48, 4*i = p - 2. Let o(g) = -g**3 + 21*g**2 - 103*g - 5. What is the lowest common multiple of o(13) and p?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c + 3. Let n be z(-7). Let u be n\/(4 + -3) + -1. Calculate the highest common factor of 8 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 PM and 8:34 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - 73*x**2 - 97*x - 1801. Calculate a(-72).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 355271 to the nearest 1000.\nAnswer: 355000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33007 = 434*o + 502*o - 10587 + 20636 for o.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 + 31*p**2 - 15*p - 153. What are the prime factors of s(27)?\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57053 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -386\/3303 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 25*t**2 + 4*t + 3. Give o(-2).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 31, -80, -7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4840*w = -4883*w - 731 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - 6. Let v = 10.4 + m. Suppose 0 = -0*q - 2*q + 2*f + 6, -12 = -4*q + f. What is the nearest to -1 in 5, v, q?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -5*h - 25, -4*r - 7*h + 12*h = -24 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 282359*k - 282358*k = -8, -13*b = -k + 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g + 10. Let r be q(6). Suppose 18 - 2 = r*a. List the prime factors of (-4 - (17 - a))*-3.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3864 a factor of 213841488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 5*s**5\/6 - 11*s**4\/3 + 7*s**3\/2 + 10*s**2\/3 - 14*s\/3 = 0.\nAnswer: -1, 0, 7\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3820 and -0.2.\nAnswer: -3820.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.1, 2\/5, 2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 232 and 87.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 234 - 234. Suppose i = 15*f - 8 - 52. Solve 5*n - f = 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 + 8*n**2 + n + 12. Let z be a(-8). Put -3, z, 12 in descending order.\nAnswer: 12, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 3) + 37\/17. Is k greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 4:59 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*v + 6*v = -2058. What is the remainder when v is divided by 74?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 g when three letters picked without replacement from zgqlivlz.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*n - 6531 = -26*n. What are the prime factors of n?\nAnswer: 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-8))\/(r*r**(2\/7)*r*r*r*r)*(r**(-7\/5)*r)\/(r*r**15) assuming r is positive.\nAnswer: r**(-444\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*f = 506 + 739 + 51 for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 104*j**5 + 25*j**4 + 3*j**3 + 18655*j**2 + 26*j - 2 wrt j?\nAnswer: 6240*j**2 + 600*j + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9884731 rounded to the nearest 100000?\nAnswer: -9900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.00000012 - 5. What is r rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -833, -919, -1015, -1127, -1261, -1423, -1619, -1855?\nAnswer: -2137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -49.747 + -1.203. Let k = r + 0.45. Let x = 51 + k. Which is the third biggest value? (a) -2\/9 (b) -0.5 (c) -0.1 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 432781 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/45*81\/3 - (-3143)\/(-350).\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*s**2 - 15*s**2 + 5*s**2.\nAnswer: -30*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0855 and 496038?\nAnswer: -42411.249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 58*t + 2*t - 2598 + 198. What is the least common multiple of 2*(-2 - -4)*1 and t?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 3 - 1)*(12684 - 1887 + 3456)*(4*y - 2*y - 3*y) to t*y + j and give t.\nAnswer: -57012","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 6:24 AM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -8 - 2 - -10.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -20\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 5:13 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36.000544 + -36. What is r rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-115)\/69)\/(1\/(-3)). Suppose 5*i + p*u = -27 + 47, -u - 20 = -2*i. Let d(v) = -v - 6. Calculate d(i).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1126 divided by 289376?\nAnswer: 563\/144688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25)\/(-15)*18\/(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-20))\/((270\/(-525))\/(500\/(-50))).\nAnswer: -35\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 80\/50*5\/2. Suppose 2590 = h*t - 3*i, 5*t = -5*i - 310 + 3565. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 5*h = -11029, -27*a + 23*a - 4*h = -22052. Is a a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34737 is divided by 655?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7 (b) -2 (c) 18436\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 78520037647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1c (base 13) to base 11\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 302 + 303 + z**2 + 13*z - 589. Give q(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 12382 (b) 0.3 (c) -4 (d) 1.53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -18118, -36297, -54542, -72853, -91230?\n\"Answer: -33*o**2 - 18080*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, 2\/3, -33, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**2. Let s(k) = -16*k - 12. Let y(f) be the first derivative of f**2\/2 + f - 16. Let n(g) = -s(g) - 12*y(g). Calculate v(n(q)).\nAnswer: -32*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*21025969.\nAnswer: -315389535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17450, -33872, -50294?\nAnswer: -66716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 12 = -t. Suppose -t = -j - 2*v, -5*j + 12 = v - 12. Suppose 3*w = -f + 5*f - 39, -55 = -5*f + j*w. Solve -l = f - 2 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 15739, 14988, 13729, 11956, 9663?\n\"Answer: -q**3 - 248*q**2 + 15988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6 - 533*a + 5 + 531*a + 219*a**3 wrt a.\nAnswer: 1314*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, -2\/35, 605, -0.4, 25 in increasing order.\nAnswer: -27, -0.4, -2\/35, 25, 605","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i = 181 + 351. Suppose i*a = 31*a. Suppose 0 = 5*l - y - 1273, a*l + 2*y = -4*l + 1010. Does 34 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1807 - 1780. Calculate the remainder when u is divided by 19.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.6 (b) 126 (c) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + 41*s**2 + 52*s - 126. What are the prime factors of y(-37)?\nAnswer: 2, 3, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1590744828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**14\/(f\/f**(-7))*(f**(-4)\/f)\/f*f*f**(4\/7) assuming f is positive.\nAnswer: f**(11\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + 56*z - 683. Determine q(37).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -600 = -19*i + 57*i + 37*i for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 9:40 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 29415029041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 10) + -5 - -9.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.051 minus -227.8?\nAnswer: 227.851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 74 - 78 - (-17 + 2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -0.59416?\nAnswer: -1.18832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/r**(2\/27))**(-12)*(r\/r**(-2\/5))**38 assuming r is positive.\nAnswer: r**(1354\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5346 and 648?\nAnswer: 21384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 201, 204, 207, 210, 213?\nAnswer: 216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, w: 7, c: 3, n: 1, t: 4}. Give prob of sequence tzzc.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r*(r**(-1\/3)\/r)\/r)\/r)\/(r\/(r\/(r\/(r*r**(-3\/2))))))**(-25))**(-2\/97) assuming r is positive.\nAnswer: r**(-575\/291)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -212 - 4a?\nAnswer: -261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - 3*y**2 - 4*y - 5. Let x be f(4). Let h = 11 + x. Solve -4*t = -a - 12, -3*t + t = -a - h for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z + 1635. Is n(-68) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, s: 7}. Give prob of picking 2 s.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z - 15 + 33*z**3 + 16 - 35*z**3 - 159*z**2 + z - z to the form w*z**2 + r*z + x + h*z**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -9478, -18746, -28014?\n\"Answer: -9268*a - 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 4 = -3*y. Let h(z) = 100. Let d(q) = -18. Let o(r) = -28*d(r) - 5*h(r). Let c(j) = j + 1. Determine y*o(n) - 4*c(n).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*d - 78*d - 93*d + 243*d.\nAnswer: -51*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 32 times -112.2831\nAnswer: -3593.0592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 9.99999869. What is j rounded to seven dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - -10)*(-9)\/(-6). Let i = 6 - h. Let b(p) = 19*p**2 - 6*p - 6*p**2 - 7*p**2 - 7*p**2 - 6. Give b(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6003694 a multiple of 3693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 0*t - 12 = 0. List the prime factors of 6 + t\/(-2) + 3.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + o**2 - 2*o + 4. Let f = 137 - 137. Let g be t(f). Solve -5*n - 25 = -4*k, -2*n - n + g*k - 23 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*1\/(-3) - (-45)\/180?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/(-68))\/((-27)\/504) + 10\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 r, and 2 n when four letters picked without replacement from gnriinngnig?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 390*w**3 - w**2 - 26*w + 87. Is 117 a factor of i(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.2 and 643597969?\nAnswer: 643597969.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -30*r - 4. Let t(v) = 19*v + 10. Let f(l) = 20*l + 12. Let k(u) = -4*f(u) + 5*t(u). Calculate 7*k(b) + 4*y(b).\nAnswer: -15*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + 0*r + 2*r)*(-1 + 0 + 3 - 2 + 0 + 1 + (-4 - 2 + 4)*(3 - 3 - 2) + 1 - 2 + 0 + 10 - 9 + 10).\nAnswer: -15*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 4 + 0)*(-5*k + 3 - 3)*(1 - 6 + 3) to c + a*k and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 65, 211, 439, 737, 1093?\n\"Answer: -2*p**3 + 53*p**2 + p + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**3 - a**3 - 8*a**3 + 5*a**3.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 16*r**2 - 18*r - 7. Let d be x(17). Let c be 6\/d*(-10 + 2). Which is smaller: 5\/4 or c?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t**2 - t**2 + 74 - 39 - 35.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27961 + 56044. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x**4 - 75*x**3 + 370*x**2 - 660*x + 360 = 0 for x.\nAnswer: 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 35 (b) -1.531 (c) 4 (d) 3 (e) 0.3 (f) -4 (g) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by 37.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 1:38 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 452*b - 294 = -362*b - 365*b + 1081*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 + 15*j + 5. Let h be b(15). Let d(g) = -26*g - 1. Let q(t) = 51*t + 1. Let k(x) = h*d(x) + 3*q(x). What is the derivative of k(y) wrt y?\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 399026519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -136.6 + 389. Round r to the nearest 10.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10710 divided by 85\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 28835 to the nearest one thousand.\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of -s**4\/4 + 2*s**3\/3 + 5*s**2\/2 - 3*s - 6. Let g be o(3). Suppose g*c + 2*c = 50. Solve -2*q = -0*q + c for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.0012? (a) 6 (b) -0.4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {o: 2, p: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/2 - 11817*k**2\/2 + 17458140*k - 17452232.\nAnswer: (k - 5908)**2*(k - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-16)\/12 + 2555\/105. Solve k - 48 = -t*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186 = 13*x - 134. Let f(k) = -2*k - 4. Let o(u) be the third derivative of u**4\/24 + u**3\/2 + 5*u**2. Give x*o(c) - 3*f(c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -55 + 53. Let v = 2 - 2. Let n = 1 + v. Which is smaller: c or n?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3\/8 + 423*i**2\/8 + 441*i\/4 - 429.\nAnswer: -3*(i - 143)*(i - 2)*(i + 4)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1400) + sqrt(14))\/(sqrt(14)\/(sqrt(7)*-2)).\nAnswer: 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7\/((-7)\/6)*3. Let y be (1 + -1)*9\/j. Solve 3*h - 2*h - 4 = y, -x - 2*h + 4 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3380?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 5:53 AM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7615559 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/(-1) + -2 - 0. Let q(j) = 8 - 6 - 2*j - k. Let t be (-2)\/(-1) - (0 - 1). What is q(t)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5421186*d + 1440 = -5421146*d for d.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 991.8006 weeks?\nAnswer: 9997350.048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -116 - -21 - (28 - (-2 - -34))?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + 7*v**2 + 7*v + 8. Let d be a(-6). Let w = 0.8 + -1.3. Sort w, 0.2, d.\nAnswer: w, 0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/600 and 167\/7176.\nAnswer: 179400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-4)*386\/579*(-108)\/(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 15 = -3*y + 1, 5*n = -4*y + 33. Let s(i) = -5 - 2 + i**3 - 6*i**y + 2 + 3. Give s(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*w - 2*w**2 - 15*w - 1498*w**3 + 30*w + 417*w**3.\nAnswer: -1081*w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 606\/14 + 2\/(-7). Let x = -10 + s. Let n = x - 23. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -0.5, 3\/4, 3 in descending order.\nAnswer: 3, 1, 3\/4, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 87892 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, s: 14}. Give prob of picking 2 s.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -65*k**2*l**3 - 364781*k**2*l**2 - 711*l**6 wrt l.\nAnswer: -390*k**2 - 85320*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 7. Let x(f) = -f - 15. Let h(j) = -13*p(j) - 6*x(j). Let k be h(1). Suppose 0 = -3*o + k + 7. Solve i + 25 = s + 3*s, -5*s + 45 = -o*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*d**3 + 134*d - 4*d**3 + 9*d**3.\nAnswer: -3*d**3 + 134*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 9 = -4*s, 0 = -2*s - 489*b + 490*b - 3 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 89881 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 32.\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11770 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 5*r + 15. Let t be w(7). Suppose v - 6 - t = 2*j, 3*v - 28 = -j. Calculate the greatest common divisor of 1 and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*i + 5*i + 2*i. Is 22\/193 less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -689*s**2 - 693*s**2 + 3476*s**2 - 694*s**2 - 691*s**2 - 701*s**2.\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1834 + 1834.000001497. What is d rounded to 7 decimal places?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + x + 2. Suppose c = 4*d - 4*c + 16, 5*d - 1 = c. Let o be d\/3 - (-7)\/(-3). Give w(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n + 4. Let b be h(4). Suppose -6*p + 4*j = -2*p - 12, -4*p + j = -9. Suppose -4*m + 220 = -2*f + f, -m + p*f + 55 = b. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2 + 1)*(10 + 1 - 5) - 1 - 1 + 4)*(-1 + 0 + 2)*(4*k - 3*k + k).\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30 + -3. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of -1\/1680*p**7 - 13\/32*p**5 + 9\/320*p**6 + 169\/192*p**4 + 2*p**2 + 0*p + 0*p**3 + 8. Determine b so that f(b) = 0.\nAnswer: 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7 less than 0.64?\nAnswer: -1.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**4\/5 - 6344*w**3\/5 - 225792*w**2\/5.\nAnswer: -2*w**2*(w + 36)*(w + 3136)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 3*t**3\/5 + 3*t**2 = 0?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**4\/21 + 1354*r**3\/21 - 227120*r**2\/21 - 231200*r\/7.\nAnswer: -2*r*(r - 340)**2*(r + 3)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 2*h**4\/21 + 124*h**3\/21 + 242*h**2\/21 + 40*h\/7 = 0.\nAnswer: -60, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, r: 2, j: 2}. Give prob of sequence vrv.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.8, 2, 13, 14\/17, 99 in increasing order.\nAnswer: 0.8, 14\/17, 2, 13, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 3*l - 2. Let w = 21 - 45. Let u = -20 - w. Which is the nearest to l? (a) 0 (b) u (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1438*j + 714*j + 709*j = -1020. Calculate the highest common divisor of j and 391.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 5. Suppose i = -4*r + 5, r - 5*i + 25 = 2*r. Let t = 0.05 - 0.45. What is the nearest to b in 0.3, t, r?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -4*(-4*(0 + sqrt(684)) + sqrt(684) - (sqrt(684) + -1 + -1))**2 + -2)*-1*-3.\nAnswer: -131391 + 1152*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -11*z + 25. Suppose f - 3*b - 176 - 205 = 0, -3*f - z*b + 1119 = 0. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3202, -6431, -9660, -12889?\n\"Answer: -3229*g + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2543 divided by 82.\nAnswer: 2543\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**3 - 21*r**2 - 8*r + 14. List the prime factors of s(11).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 6*s**2 - s. Let q be r(1). Suppose q*y + 14 = 39. Suppose y*b = 4*b + 3. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and 229027460344.\nAnswer: 229027460343.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 PM and 6:50 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 243 or 244?\nAnswer: 244","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 357 - 209. Let h = 211 - c. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(80) + sqrt(80) + 0 - sqrt(80)).\nAnswer: 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -6. Let v(x) = -3*x**3 + 11*x**2 - 3*x - 19. Let o(u) = -4*u**3 + 16*u**2 - 5*u - 28. Let f(w) = z*o(w) + 7*v(w). Is f(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29 and 377.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 106*1\/(-22) - (-49 - -44). Which is greater: -84 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - 4224102?\nAnswer: -4224111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3535\/41 + -49758619\/577116. Is 0 < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1731 and 150?\nAnswer: 86550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a + a**2 + 0*a**4 - 3*a**4 - 3*a + 2*a**4 + 0*a**4 + 0*a**4 + 3*a**4 - 2*a**4 + 0*a**4 + (-2*a**2 + 0*a + 0*a)*(a**2 + 1 - 1).\nAnswer: -2*a**4 + a**2 - 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 586766.\nAnswer: 2, 397, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 48590 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5203167?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (1 - 2) - (-3 - -3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(700) + -1.\nAnswer: -1 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(4\/3)*60\/(-45). Let a(w) = -6*w**3 + 11*w**2 - 4*w - 6. Suppose 0 = 5*h + 28 + 27. Let l(q) = -2*q**3 + 4*q**2 - q - 2. Calculate h*l(c) + m*a(c).\nAnswer: -2*c**3 - 5*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/10 of a minute?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*v + v = -75*v - 18*v + 5763 for v.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/50)\/((-8)\/40). Which is greater: 13\/3 or m?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 762823, 762837, 762851, 762865, 762879?\n\"Answer: 14*i + 762809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1248*h - 37842 + 12480 = 14574 for h.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - p = -5*p + 16, 5*p = 15. What is the lowest common multiple of 12 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*(39\/(-78) + (-2)\/2). Suppose 0 = -4*o + 5*o - 3. Suppose -5*b - o*x = -k*b - 118, 164 = 3*b - 2*x. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7213 + 11421 = -1547*c - 11449 + 3784 for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(2 + 1) + 4. Let o(t) = 7 + 6*t + 6*t**2 + 4*t**3 - t**3 - 2*t**u. What is the units digit of o(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 5*r + 4. Determine x(5).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -3*k**3 + 47*k**2 - 186*k + 39. Calculate f(9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -7*x + 2*a + 52, 0 = -5*a + 10. Calculate the remainder when 516 is divided by x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14\/(-63) + (1037\/9 - 1). Let z = 56 - v. Let p = 58 + z. Is p smaller than 5\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 0.05, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of s**6\/150 + 2*s**5\/25 + 11*s**4\/30 + 4*s**3\/5 + 90*s**2. Let m(r) = 0. Calculate r.\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20004\/5 + (-1)\/(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41793584+32\nAnswer: -41793552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -13658190 rounded to the nearest one million?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 25713 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 132 - 204. Let t = x - -80. Solve 4*j + t = -12 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*j + 35*j + 12*j = 2208. Calculate the remainder when 589 is divided by j.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -483 - -12?\nAnswer: -471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2\/381 + 260\/1143. Which is the second smallest value? (a) k (b) -1 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1065, -11, -5 in decreasing order.\nAnswer: -5, -11, -1065","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 4*l + 7*l + 6*l - 7*l. Let a(j) = 3*j**2. What is z(a(r))?\nAnswer: 30*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -0.1, -0.08?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4331958, 4331962, 4331966?\nAnswer: 4331970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22860 and 10980?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nmre when four letters picked without replacement from rrcevemrvmvnevrvcev?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*i**2 - 4127 - i + 4127 + 13*i**2 - 5*i.\nAnswer: 39*i**2 - 6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48 + -54. Let c be 22\/11*i\/(-4). Solve -a = 5*b + 15, c*b + a = -0*a - 7 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 + 174*n - 28193. Calculate g(102).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/50 - (-190255702)\/1850 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 5*p**2 - 2*p - 20. Let u be w(6). Let b = 208 - u. What is the greatest common factor of b and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.3 - 7.351. What is m rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = q - 3*q + 12, 0 = 2*j + 4*q - 14. Suppose -15 = u - j*f, -4*u + 2*f = 5*f - 32. What are the prime factors of -5*14\/u*-16?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31\/36 + -10\/9. Suppose 0*y - 5*y - 5 = 0. Which is the closest to y? (a) -4 (b) s (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - 33*r**2 + 133*r + 5283. Let n be y(-32). Let b(c) = -2*c + 0*c**2 + 0*c**2 - 1 + c**2. Calculate b(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 82 + 18 + -35 - -87.\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -35*h - 9. Let y be z(-7). Let i be y\/(-24) - (-2)\/(-12). Let l(u) = u**3 + 9*u**2 - 11*u - 7. What is the units digit of l(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2. Let d(q) = 2*q**2 - 6*q - 5. Let h(x) = d(x) - o(x). Let w(b) = -2*b**2 + 7*b - 4. Let f be w(2). Let i be (5 - 3\/f)\/(1\/2). Give h(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-2 - 3 - -4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1142, -667, 132, 1261, 2726?\n\"Answer: r**3 + 156*r**2 - 1299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-84)*(-15)\/2.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1414 divided by -446.\nAnswer: 707\/223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 12*p = -13*p + 16, 2*z - 5*p = -38. Put 2, z, -2 in decreasing order.\nAnswer: 2, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 2*f + 19 + 23, 4*s = -3*f + 47. Let q(w) = 3*w**3 + 11*w**2 + 11*w + 5. Let p(r) = -r**3 - 4*r**2 - 4*r - 2. Determine s*p(i) + 4*q(i).\nAnswer: i**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 408 is divided by 38.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -1990 - 3320. Round y to the nearest one hundred.\nAnswer: -5300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 20760, -5, -14, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 AM and 11:51 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1377)*-1 - (sqrt(833)*-1 + (sqrt(51)\/sqrt(3) - sqrt(17))*-1)**2) + ((sqrt(1700)*-2 + 4)**2 - (-4*sqrt(17)*1 - (-4 + sqrt(17)*2))**2).\nAnswer: -130*sqrt(17) + 5355","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a**(-20)*a*a)*a**(3\/14)*a**29\/((a\/a**(-2)*a)\/a*a) assuming a is positive.\nAnswer: a**(619\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of 22 - 3\/5*y**2 - 9\/5*y - 1\/15*y**3. Factor b(j).\nAnswer: -(j + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -26870108 and 1586?\nAnswer: 26871694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4993, -10343, -15691, -21037, -26381, -31723?\nAnswer: -37063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l + 13*t - 44, 286*t + 20 = -2*l + 150*t + 140*t for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2635141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 3*d + 4, -3*s - 2*s + 4*d + 6 = 0. Let w(v) = -2*v**3 + 2*v**2 + 4*v + 2. Does 6 divide w(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1997799?\nAnswer: 3, 59, 11287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 825 by -3.\nAnswer: -275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 82995164797.8+-0.1\nAnswer: 82995164797.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000093805 rounded to five dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w - 50. Let t(u) = -10*u + 221. Let g(r) = -5*a(r) - t(r). What is g(-20)?\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 1656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g = 20*g - 5*g - o + 3, 2*o = 6 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 142 and 50.\nAnswer: 3550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/26, 5, 2, -0.3 in decreasing order.\nAnswer: 5, 2, -1\/26, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0*y + y + y)*(4*y - 3*y + y) + 5*y**2 - 2*y**2 - 4*y**2 - y**2 + 17*y - 17*y)*(50 + y - 50) as g*y**2 + a*y + h + r*y**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + 3)\/(6\/(-210)). Let h be (-3)\/(v\/96 + 1). Let y = h - 19. Is y a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -53 + 61. What is the remainder when t is divided by (-5)\/(-1*(1 + 0))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (414\/(-26) - 75\/975)*8. Which is the second smallest value? (a) 1.7 (b) -4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 2*t. Which is the smallest value? (a) -0.1 (b) t (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -617*u**2 + 1313*u**3 + 617*u**2.\nAnswer: 1313*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + 12. Let g(i) = 4*i**2 - i. Let n be g(1). Suppose -n*a - b*a = 0. Sort -5, 5, a in increasing order.\nAnswer: -5, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h + 19*h**3 + 3*h + 13*h**3 - 20*h**3.\nAnswer: 12*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 - 5*l**2 + 4*l - 1. Let t(i) = 2*i**2 - 3*i - 4. Suppose 5*s - 16 = p + 6, 5*s - 28 = -p. Let d be t(p). Is 5 a factor of n(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11820 + -1267. Round f to the nearest 100.\nAnswer: 10600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 495*x + 669 - 152 = 448*x for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by -118\nAnswer: 13\/118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h + 11. Let b be s(5). Suppose b = -3*w + 7*w. Let o(v) = 4*v + 3. What are the prime factors of o(w)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/10 - (-924)\/660. Let v be 2*2 + 0\/2. Solve 4*i + 18 = -m*u + 4, -v*u - 19 = 5*i for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1549239 to 3 decimal places.\nAnswer: -0.155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-360)\/4032*((-8)\/7)\/(10\/7)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of 0*u**2 + 5\/21*u**4 - 8*u + 4 - 25\/21*u**3 - 1\/70*u**5. Suppose a(p) = 0. Calculate p.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 11:37 PM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - (4\/(-10))\/((-11)\/3025). Let z = -104 - o. Solve 0*v + 16 = -3*v - 2*m, -5*v + z*m + 15 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*3*sqrt(130))\/sqrt(10)*-6 + (((sqrt(117) + 3 - sqrt(117)) + sqrt(117))*-1*-3)**2.\nAnswer: 270*sqrt(13) + 1134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 10 = -3. Suppose -z*s = -9*s. Let l(u) = -u + 14. What is the tens digit of l(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 4:59 AM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 2*b**2 - 2*b. Calculate f(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of n**5\/150 + 131*n**4\/60 - 44*n**3\/5 - 10646*n**2. Factor c(o).\nAnswer: 2*(o - 1)*(o + 132)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 30, 0, 1, 80 in decreasing order.\nAnswer: 80, 30, 3, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18531 and 104661?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*b + 8*b**2 - b - 4*b)*(2*b + 6*b - b) in the form q*b**2 + f + l*b + d*b**3 and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -80\/3*k**3 + 0 + 55\/3*k**2 + 35\/3*k**4 - 10\/3*k = 0. What is k?\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 40 - 670?\nAnswer: -630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 + t - 1. Let k be o(-3). Calculate the highest common factor of k and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 8*k**2. Let v(y) be the third derivative of -y**7\/2520 - y**4\/12 - 11*y**3\/3 - 6*y**2 + 6. Let g(h) be the second derivative of v(h). Give f(g(x)).\nAnswer: 8*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 457445 * 0.5\nAnswer: 228722.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.059 + -0.028. Let a = -10490 + 10523.131. Let r = a - f. Round r to 0 decimal places.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3867 - -1725. Let v = o - -2141.99998727. What is v rounded to six decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5140\/7 + 734. Let p = -349\/5 - -70. What is the closest to -1\/4 in -4, b, p?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/414 and -2\/124341657?\nAnswer: 746049942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16.5 + -12.5. Which is the closest to w? (a) -3\/2 (b) 2\/7 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(576)\/(sqrt(36)\/(sqrt(3)*2)))**2 + -3 + 3).\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c - 10*c + 7 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -539, 1510, -0.014?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 r when two letters picked without replacement from {a: 2, b: 4, f: 1, q: 1, n: 1, r: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15\/(-5) - 1*-115. Suppose 0 = 5*a - h - 3. What is the highest common factor of 207 and a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*c = 52*c + 51*c + 81 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 700 + -242. Let o = u + -320. List the prime factors of o.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by -64\nAnswer: 5\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3*r + 8 = 32, 2*r = 3*k - 10. Let t(n) = -1. Let l(i) = 21*i - 98. Let b(o) = k*t(o) + l(o). What is the derivative of b(m) wrt m?\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.5 + 2. Suppose -4 = 3*c - 5*c. Suppose 7 = c*n - 3. What is the third smallest value in l, 1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21*j**2 + 174*j**2 + 4045*j - 3870*j wrt j.\nAnswer: 306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -9*x + 12. Let h be z(-7). Let u be (-4)\/10 - (-17)\/5. Suppose t + 5*i = h, u*t - i = 17 + 144. List the prime factors of t.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, e: 2, n: 3}. Give prob of picking 3 n.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 2\/13 (b) 5 (c) 0.299 (d) 0.5 (e) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*u + 13 = -12 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -1\/2 (b) 3 (c) 0.06 (d) -14.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r**2 - 26*r + 37. What is v(12)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 68 + -55. Suppose 10*r + 135 = u*r. Suppose 44 = 2*k + 4*a, 2*a + a - 39 = -2*k. What is the remainder when r is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*w + 96*w - 656 = -82*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of 2*g**3\/3 + 131. Let y(j) be the first derivative of -3*j**2 - 1. Determine y(w(c)).\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 77\/28 + 1\/4. Let d = -10 - -11. Differentiate 1 - 3 - d + k*l**3 with respect to l.\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -200112 (base 4) to base 12\nAnswer: -1246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5719 + -5721. Let o(g) = -1. Let i(z) = -2*z + 3. What is v*o(s) - i(s)?\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -o**4\/2 + 2*o**3\/3 + o**2 - 2*o + 4. Factor l(s).\nAnswer: -2*(s - 1)**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1886\/13202 - (-103)\/14?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.4, 105, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of -c**6\/120 + c**4\/24 + 5*c**3\/2 + 12*c**2 - 77*c. What is d(0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/360 and -35\/24.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3202 + 121?\nAnswer: 3323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4852?\nAnswer: 2, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 + 2*z + 3. Calculate k(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -134864, 4, -9, 3 in decreasing order.\nAnswer: 4, 3, -9, -134864","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 71089 + -71085.1959. What is t rounded to 2 dps?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 2 r, and 1 k when four letters picked without replacement from {r: 3, g: 1, e: 5, k: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -267, -576, -885?\n\"Answer: -309*x + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 - o + 1. Let x = 26 - 25. Let n(f) = 2*f**3 + f**2 + 6*f - 6. Let k(r) = x*n(r) + 6*w(r). Find the third derivative of k(t) wrt t.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/5)\/(c**(2\/7)*c))**12*(c*c\/(c*c**(-1\/5))*c\/c**(-5))\/(c**1)**49 assuming c is positive.\nAnswer: c**(-1919\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -1. Let v(i) = -i. Let w be v(l). Suppose -b - 4*d + 21 = w, 0 = -2*b - 3*d + 24 + 18. What is the highest common factor of 14 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 4*q - 11 - 7 = 6*u, 3*q + 67 = -2*u + 54*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3700825+803360\nAnswer: -2897465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -14*x + 28. What is y(4)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32.1358 + 0.0358. Let p = -0.034148 - 32.062192. Let u = p - t. What is u rounded to four decimal places?\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1250*r - 3*c = -1249*r - 37, 18*r - 30*c + 27*c = 39 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 4*h**2 - 4*h + 11. Let w be f(-5). Let b be (4\/w)\/(-2)*(-288)\/12. Solve -3*n + 0*n + 12 = -3*s, -b = 2*s for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((4 - 0) + -5)*-2512*-250. Round x to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15c7 (base 14) to base 7\nAnswer: 14240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -22725 and -37.28.\nAnswer: -22762.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 e when two letters picked without replacement from {y: 2, e: 3, a: 1, l: 1}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 + 5*z + 11. Let d be f(6). Suppose -4*v + 4*l = -7*v - 70, 0 = d*v + l + 128. Let n = 36 + v. What is the lowest common multiple of n and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4, -4, -1\/836, -0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kqkk when four letters picked without replacement from {q: 6, k: 6}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t + 3. Let i be g(2). Suppose 37063 = -i*z - 47437. What is z rounded to the nearest one thousand?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8091 and 43803?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 0 + (sqrt(448) + 1)*-4*-4 + ((-5*(sqrt(448) + sqrt(448) + sqrt(448)*-1 - sqrt(448)))**2 - (sqrt(448) + 0 + sqrt(448) + 5)).\nAnswer: 9 + 112*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -9*f**3 - 5*f**2 + 11*f - 1. Let i(w) = 4*w**3 + 2*w**2 - 5*w. Let c(p) = 5*i(p) + 2*t(p). Give c(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = -2*u + 4*u - 4, -4*u + 12 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 16) to base 10\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - 5*o**2 + 8*o + 15. Let t be k(-6). Let q be 20000\/t*195\/(-2). Round q to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-15))\/(5\/(-30))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15494 and 678434?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -428 - 437 + 851 + 8*a.\nAnswer: 8*a - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 8:37 PM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 897898291.\nAnswer: 31, 109, 265729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (7 - (-89)\/22*-2) + 1. Which is the second smallest value? (a) 0 (b) 2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = -p - 7, 5*x + 8 = -4*p + 1 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 530 and 6307?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 468430\/8425 + 140\/(-25)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -4. Let b = 0 + d. Suppose 88 = 6*z - b*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110111111010000111 (base 2) to base 3\nAnswer: 102122010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5728677863?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8796?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7054 and 476?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6519 - -6560. Let m be (0 + 15)*(2 - -1). Suppose h*c - m*c = -1004. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.98 and -47?\nAnswer: 46.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 487 is divided by 136?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.04442 + 0.1\nAnswer: 0.14442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 - (-5 + (-648)\/(-63) - -2). Which is greater: w or 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.94 - 0.06. Let a = 30 - 41. Let n = p - a. Sort n, -3, 1 in decreasing order.\nAnswer: n, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1279, -5143, -11593, -20629, -32251?\n\"Answer: -1293*a**2 + 15*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -5, -4, -9, 2 in ascending order.\nAnswer: -9, -5, -4, 2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216*u**5 - 2928084*u**4 - 13173138*u**3 - 15367851*u**2 - 6951972*u - 1097667 = 0.\nAnswer: -121963\/9, -3, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -319889, -319891, -319895, -319901?\n\"Answer: -v**2 + v - 319889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3, -6, -31, -78, -153, -262, -411?\n\"Answer: -g**3 - 2*g**2 + 4*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -124 - 3020?\nAnswer: -3144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.4 in -0.504, 11\/3, 12, -5?\nAnswer: -0.504","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-224*l - 734*l - 645*l + (-2*l + 3*l - 3*l)*(-1 + 0 - 1) + 6*l - 3*l - 4*l)*(-l + 5*l - 3*l)*(0 - 4 + 2) to m + s*l**2 + y*l and give s.\nAnswer: 3200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 517, 1986, 4431, 7852?\n\"Answer: 488*f**2 + 5*f + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 190 + -180. Let a(b) = -3*b + 32. Let n be a(c). Solve 0 = -q - n*q - 15 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.9232 - 3.8943. Let r = d + 1.96. Round r to 3 decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8187 + 6991*g**2 - 8187.\nAnswer: 6991*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 320\/(-80)*1\/4*15\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 8*g**3\/5 - 1972*g**2\/5 - 15348*g\/5 + 27432\/5 = 0.\nAnswer: -9, 3\/2, 254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*r - 24 = 11*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**2 - 4*x. Let v be 3 + 2 + (1 - 2). Let l(y) = 4*y**2 - 9*y. Calculate v*l(f) - 9*b(f).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 217141521 + -858360427391\/3953. Let m = -80\/67 + d. Do 0 and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 793141789*g - 277123790 with respect to g.\nAnswer: 793141789","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of p**4 + 29976975*p**2 - 210*p + 74960.\nAnswer: 12*p**2 + 59953950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) 28 (b) -2\/3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -21*z + 106. Let g be (1 - -2)\/((-45)\/330). Is 9 a factor of b(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*j - 3*j**2 - 24 - 3*j + 2*j - 4*j**2 - 9*j to t + l*j**2 + i*j and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 + -13. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of 2*g**2 + 1\/10*g**5 + 0 + 0*g**3 + 0*g**4 + 18*g. Differentiate y(r) wrt r.\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than 0.27?\nAnswer: -3.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/5 (b) -0.2 (c) 1\/3 (d) 55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101110 + -11?\nAnswer: -110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129 = -3*f + 144. Suppose -4*t + f + 9 = 0. Solve 5*m + 5*j = t, 0 = -m - 0*j - 2*j + 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*l + 5*l + 2933. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*w + 88 = 51*w. Solve p + 6 = 2*u + u, -w*p - 4*u = -24 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 AM and 7:46 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oggooogogo. What is prob of picking 4 o?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6362)\/165412 + 2469\/(-26).\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 939918?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/108*6*0\/(-2). Suppose -4*k + 2*k = -74. Suppose 4*j + 4*u - 252 = a, k = 2*j + 4*u - 87. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 521 + 5*i**2 - 523 + 0*i**2 to v + d*i**2 + b*i and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a centimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2. Let o(i) = -25*i + 129. Let z be o(5). Let x(s) = z*s**2 - 50*s**2 + 4*s**2. Give m(x(p)).\nAnswer: -1764*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 166 + -146 - (4 + -1).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(500) + 1 + -1)**2 - (sqrt(720) + (-5*sqrt(720)*-2 - sqrt(720)))**2*3.\nAnswer: -217000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(3*sqrt(110)*-5 - sqrt(110)))\/(-1*-2*sqrt(100)\/sqrt(10)).\nAnswer: 32*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, u: 8, i: 2, q: 1, o: 3, f: 1}. Give prob of picking 1 i, 1 o, 1 f, and 1 q.\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/(-42))\/(((-1320)\/1050)\/(-22)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qn when two letters picked without replacement from {d: 1, j: 2, n: 1, f: 2, q: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -25*r**3 + 805*r**2 - 140*r - 640 = 0.\nAnswer: -4\/5, 1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 + 18. Suppose -b = -5*y + 1, v*b + 4*y - 47 = 7. Is 18 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48226.\nAnswer: 2, 24113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4432 = 17*p. What are the prime factors of p?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 = 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4 - 2 = 0. Let t(f) = f**3 + 2*f**2 - 4*f - 3. Let n be t(-3). Let x = n - v. Which is smaller: -1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1133, 4421, 9885, 17513, 27293, 39213, 53261?\nAnswer: 69425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -35*l**4 - 115*l**3 + 285*l**2 - 85*l - 50 = 0.\nAnswer: -5, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1201576129 a multiple of 4870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1849, -381, -4089, -9269, -15915, -24021, -33581?\nAnswer: -44589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26 and 216.\nAnswer: 2808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, d: 10}. What is prob of picking 4 m?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59120, 59414, 59904, 60590, 61472, 62550?\nAnswer: 63824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express w**2 - 4*w**2 + 3*w**2 + 2*w**2 as n*w**2 + v*w + x and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.06789329 to 4 decimal places.\nAnswer: 3.0679","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(1\/4))\/(y\/(y\/(y**(-1\/4)\/y))))\/(y**3\/(y**(-4)\/y*y))*(y\/(y**(-1\/2)\/y)*y**4)**(-24) assuming y is positive.\nAnswer: y**(-161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20554091, 1, 5 in decreasing order.\nAnswer: 20554091, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 10\/10927 (b) 1\/3 (c) -0.02 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-10) - 204\/(-10). Calculate the remainder when 27 is divided by a\/3 + 2\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 256783.\nAnswer: 41, 6263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 405 = 5*p + 471, 0 = 2*n + p - 452. Calculate the least common multiple of n and 320.\nAnswer: 2240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*h + 37*h - 48 = 0. Suppose h*r - 8*r = 5444. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 834586.\nAnswer: -834582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2621 = -1855*n + 11212 - 114326 for n.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(2*(-2)\/12). Suppose -v = -s + 35, -s - l*v + 35 = -2*v. Suppose s = -0*t + t. What is the remainder when t is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1085.\nAnswer: 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r - 2. Let p be h(4). Let t be 140\/8 + 3\/p. What is the greatest common factor of t and 144?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 12*b. Let c(f) be the second derivative of 5*f**4\/6 - 11*f**3\/6 + 33*f. Let q(l) = -2*l**2 + 2*l. Let n(h) = 2*c(h) + 11*q(h). What is u(n(m))?\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is three sevenths of a week in hours?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*b**2 - 1312 + 1312 + 38*b**2 to l*b**2 + i*b + c and give l.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 3*g + 4*g)*(-4279 + 17*g + 4279) - g**2 + 0*g**2 + 4*g**2.\nAnswer: 88*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 134 - 92 = 0. Let m(f) = 14*f**3 + 6*f**2 + 1. Let a(h) = 27*h**3 + 11*h**2 + 2. Determine j*a(u) - 11*m(u).\nAnswer: 8*u**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 2*h - x - 5143, -2060 = -2*h - x. Let u = 199 - h. What is u rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14560181159 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2284809 to four decimal places.\nAnswer: 0.2285","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004027 rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(84)\/sqrt(4))\/((sqrt(847) - 1*sqrt(847)) + sqrt(847)))**2.\nAnswer: 27\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -8*n**2 + 91*n - 28. Let f be l(11). Which is the nearest to -4? (a) f (b) 12 (c) 1 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123 - 63 - 60 + 11*f**2.\nAnswer: 11*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/20*1 - (-15)\/22.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.372 + 0.43. Round h to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 51 - 76. Suppose 0 = -3*b - 2*o - 2*o + 44, 22 = b + x*o. Solve -b = -5*a + 4*p, -2*a + 4*a + 4*p + 12 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-3)*15\/3. Let i be 3\/j + 56\/10. Suppose -16*a = -21*a + 10. What is the greatest common factor of i and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1775, -3, 1352, -2 in increasing order.\nAnswer: -1775, -3, -2, 1352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1336*v + 299*v + 3 + 1 - 2 - 1.\nAnswer: -1037*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -d + 20. Let i(a) = 3*a**2 + 6*a - 3 - 2*a**2 - 2. What is the remainder when d is divided by i(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(2448) + sqrt(2448)*-1)*-2)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/2 - 1481*p\/2 - 4461.\nAnswer: (p - 1487)*(p + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 1:47 PM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3069743 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.148 * -155\nAnswer: -22.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.5 (b) 4 (c) -1.4 (d) -578 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3\/5 - 84*i**2\/5 - 156*i - 480.\nAnswer: -3*(i + 8)*(i + 10)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 3*t - 4)*(21*t**2 - 66*t**2 + 4*t**2)*(32 + 19 + 7) as y*t + f + d*t**2 + u*t**3 and give u.\nAnswer: -7134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -3*c. Let t be ((-12)\/(-16))\/(2\/(-8)). Let g = -14 - t. Let p(n) = -16*n. Calculate g*l(z) + 2*p(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 10 = -4*b, -n - 3*b - 14 = -0*b. Let q = 6.2 + -9.2. Let u = 5.6 - 5. What is the second biggest value in n, u, q?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 9:05 PM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(4\/7)\/n)**21*(n**(1\/4)*n)**(-47) assuming n is positive.\nAnswer: n**(-271\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-88)\/66*(4\/4 - -5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1e59b3 (base 15) in base 8?\nAnswer: -5530531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 611785470?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-63)\/(-6)*(-3)\/(-18)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66, -132, -202, -282, -378?\nAnswer: -496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-327 + 73 - 377 + 71)*(0*i + 4*i - 2*i - 3*i + 4*i + i + (1 - 2 + 0)*(-2*i + i - i) + i + 0 + 0 - 6 + 5*i + 6) to j + a*i and give a.\nAnswer: -6720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17*j + 7*j + j**2 + 8*j + 2)*(-3*j + j**2 + 3*j) as b + z*j + f*j**2 + r*j**3 + q*j**4 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 447?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1828 = -12*n - 2224. Which is greater: -39 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12110 - 2122100222022?\nAnswer: -2122100202212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 26\/531?\nAnswer: 26\/531","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/4)\/(5\/10). Let h = -1 - r. Solve h*m - 10 = 7*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from {l: 14, b: 4}?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5216.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5a880 (base 13) in base 10?\nAnswer: 166231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 243, -9, 0.5, -3, -6\/97, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -48.72 and 5?\nAnswer: -243.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -410 divided by -205?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) - sqrt(48)\/sqrt(50))\/(-1*sqrt(800) - sqrt(8))*3*-4.\nAnswer: 48*sqrt(3)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.69707 years to decades.\nAnswer: 0.069707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ywaavyc. What is prob of picking 1 a and 1 y?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 4. Let x(f) = -32*f. Let t be x(a). Suppose 0 = 3*l + 4*b + t, -19 = 3*l - 2*l + 3*b. Let i(z) = z**3 + 5*z**2 + 4*z + 6. Determine i(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0564? (a) -5 (b) 4 (c) -0.2 (d) -22 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3322 by 5.\nAnswer: -3322\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 4:21 AM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 142380 by 3164.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 953462771?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-5) - 1\/(-90)*1039968\/(-14904)\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546367 (base 8) in base 13?\nAnswer: 65709","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -41*c + 210. Let a(x) = 20*x - 113. Give 5*a(k) + 3*w(k).\nAnswer: -23*k + 65","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 10:36 PM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -10 (c) -66\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y**(-12)))\/y*y*y*y\/y**(-5\/3)*y*y\/((y**0\/y)\/y)*y*y**12 assuming y is positive.\nAnswer: y**(98\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2594*p - 1332*p - 1299*p to a + f*p and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*v**2 + 131*v - 131*v)*(0*v + 2*v + 0*v).\nAnswer: -20*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -26 and -3?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, -1.9, 0.03, 13, 4?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31350149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 10*k + 87. Let f(p) = 12*p + 89. Determine -7*d(n) + 6*f(n).\nAnswer: 2*n - 75","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 0 - 7 - 2 - 11*y + 17 + 14*y**2. Let a(c) = 9*c**2 - 7*c + 5. Calculate 8*a(x) - 5*s(x).\nAnswer: 2*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 23*t - 167. Let r be 294\/(-98)*(-7)\/3. Give v(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10003?\nAnswer: 7, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d + 53 - 42 = 0. Let m(a) = 604*a + 31. What are the prime factors of m(d)?\nAnswer: 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 183 - 122. Let z = j + -127. Let l = z - -66. Solve n + 2 = -l*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d**2 + 132*d + 252. Let u be k(-42). Solve u = -5*v - 4*b + 7*b - 43, -4 = -4*v - 4*b for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 87*j - 86*j, j - 456 = -5*i. Is 7 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b + 7. Calculate y(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 7931?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 73125 and 2691?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-6)\/(m\/(m*m**0\/m)))\/(m**(-2\/11)*m*m)**(4\/9) assuming m is positive.\nAnswer: m**(-773\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -10 - 15. Let h(a) = a + 1. Let q be h(2). Suppose q*c = c. Solve c = o + 4*o + s for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 36*u**2 - 324 + 341 - 8*u + 17*u. List the prime factors of l(5).\nAnswer: 2, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 4*d - 20, 4*d + 4*l - 32 = -l. Suppose 4*o = -j - 2*j + 13, -d*j + 12 = 3*o. Let h be o + -3 - (2 - 0). Which is greater: h or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of 89*i**4\/4 - 137*i**3\/6 + 957*i**2. What is the first derivative of u(d) wrt d?\nAnswer: 534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001110101100001111110 (base 2) to base 14.\nAnswer: -4b19ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 211607.9 millennia?\nAnswer: 21160790","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -213 (b) 5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 - -4. Let v(g) = 2*g**2 + 2*g + 51. Let j(n) = 13*n**2 + 21*n + 320. Let d(a) = -j(a) + 6*v(a). What is d(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -64*t + 704. Let r be l(0). Let n = r + -5635\/8. Let o = -4.3 - -4. Put n, o, -6.8 in descending order.\nAnswer: o, n, -6.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 29770 to the nearest 1000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2*f - 24 = 5*k, -3*f = 5*k + 28. Let o be (6\/f)\/18 - 2\/(-6). Solve 5*j - 25 = -4*w, -3*w + 4*j = -o*w + 20 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -2. Let f(c) = 2*c**i + c**2 - c**2. Let r(l) = l. What is r(f(n))?\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/587431953 or 0?\nAnswer: 1\/587431953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5142 and 205140090?\nAnswer: 5142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -103 + 190. Suppose -v - 22 = -2*v. What is the remainder when o is divided by v?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/13261 > 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 193 = 2*b, -b - 4*b + 478 = 3*h. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.718 - 4.\nAnswer: -1.282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 39350808 divided by 163?\nAnswer: 241416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (4 + 20)*(-2)\/(-3) and 4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -180389 + 4*m + 180389.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 f when four letters picked without replacement from wbrrwwsrbbfrrrswb.\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(8\/20) - 3. Suppose 36*f + 3 = 35*f + 2*c, -3*c - 1 = 4*f. What is the closest to 0 in u, -0.4, -3, f?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 2*h - 3. What is n(3)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 24*x + 22 - 2.\nAnswer: -24*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -620*a - 27944 + 27944 + 620*a + 115*a**2.\nAnswer: 115*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3 = 27. Find the common denominator of (-2)\/((-1280)\/(-492)) + b\/24 and -79\/112.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-132)*-11*0\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 30 = 52*w - 56*w, -14*m + 23 = -w + 2*w + 320 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + 5\/2 - 8802\/4. What is g rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -3*v**3 - v**2 + v + 1. Let n be k(-1). Suppose -5*u + 25 = -5*a, -5*a + 3*u - n*u = 13. Let c = a + 3. Is c smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**3 + 5*z**2 + 85*z + 75.\nAnswer: -5*(z - 5)*(z + 1)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2128 + 6308 = 0. What is the units digit of 68\/85 + i\/(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55120.\nAnswer: 2, 5, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8426*v**3 - 2*v**2 - 2649*v?\nAnswer: 50556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -673 + 668. Put 1, 3, 7, f in ascending order.\nAnswer: f, 1, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 108, -8.\nAnswer: -8, 2\/9, 108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 divided by 75?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 9:39 PM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 909.369 * 1.4\nAnswer: 1273.1166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29\/48 + 1\/16. Suppose 15 = r - 2*i, -8*r - 5*i = -3*r. Suppose -2*k + 5*k - 9 = -2*c, 3*c = r*k + 4. Is k less than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 5*y**2 - 9*y + 2. Let s(g) = 3*g**2 - 5*g + 1. Let i(c) = 7*s(c) - 4*z(c). Let u be i(1). Which is smaller: 1\/19 or u?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/(-9) - (-6)\/9. Let s(j) = 5*j**q + 4*j**2 - 6*j**2. Let a(v) = -4*v**2 + v**2 + 4*v**2. Give s(a(h)).\nAnswer: 3*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fyft when four letters picked without replacement from {f: 1, z: 3, t: 1, g: 3, a: 1, y: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -1\/3, -0.9059 in increasing order.\nAnswer: -0.9059, -1\/3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5682317?\nAnswer: 827, 6871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 658 - 653. Let w(q) be the third derivative of 0*q + 5*q**2 + 1\/12*q**4 + 0 + 0*q**3 - 1\/12*q**j. Find the second derivative of w(g) wrt g.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3153627 + -0.12961567?\nAnswer: -3153627.12961567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = -12*s - 10 - 50, 0 = -68*j + 69*j - 5*s - 23 - 11 for j.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*c**2 + 54*c**2 + 2 - 3 + (3*c + c - 6*c)*(c - 2*c + 0*c) + (-5*c - 2*c - 9*c)*(2*c - 6*c + 2*c).\nAnswer: 98*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/20 and -76\/15.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f - 4. Let i(b) be the second derivative of 1\/6*b**3 - 3*b - 1\/2*b**2 + 0. Calculate 4*i(d) - r(d).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -8323000 rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 441470 and 4?\nAnswer: 882940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d + 3*d - 5*d)*(3*d**3 + 0*d**3 - d**3) + 2*d**4 - 2*d**4 + 3*d**4 + (5*d - d - 5*d)*(2273*d**3 - 1314*d + 1314*d).\nAnswer: -2268*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/12 - -1) + 22\/4\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -32, -36970, -5 in ascending order.\nAnswer: -36970, -32, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -662 * 3.\nAnswer: -1986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.32 and -843?\nAnswer: 842.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 655*b**3 + 891*b**3 + 639*b**3 - 2293*b**3.\nAnswer: -108*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (96\/(-18))\/(4\/(-6)). Let j be v\/2 + 15 + -12. Suppose j*a + 29 = -41. What is a rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-6)*j*j**1*j)**16\/(j*j*j*j*j**(1\/5)*j*j*j*(j*(j\/(j\/((j\/j**(7\/3))\/j))*j)\/j)\/j*(j*j\/(j**(-2\/3)*j)*j)\/j*j**(-3\/2)) assuming j is positive.\nAnswer: j**(-1591\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*i**3 - 7*i**2*u**3 - 5*i**2 + 7*u**3 + 12*u**2 wrt i?\nAnswer: -6*i**2 - 14*i*u**3 - 10*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3.2676 - 60621.71457\nAnswer: -60624.98217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -335 + 182. Let g = w - -156. Solve 0*i + g = -i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/6*2\/(-2)*-4*207\/2392.\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*s**4 + s**3 + 22570*s**2 - 26077166*s.\nAnswer: 120*s**2 + 6*s + 45140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 32d678 (base 16) in base 13?\nAnswer: 8c862c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 3:59 PM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12 - 8) + 14)\/(4\/(-6))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-6)*0\/(-2). Suppose c - 4 = 4. Suppose -5*y + 15 = 2*i, y + c = 2*i - y. Sort -1, h, i in descending order.\nAnswer: i, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1018935000?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 7 = -4*z, 40*j + 7 = 44*j - z. Suppose 5*n - 5 = -0. What is the units digit of 196\/(2 + (j - n))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/2 + 69*k**2 - 4761*k\/2.\nAnswer: -k*(k - 69)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 309*s = 297*s + 36. Which is the smallest value? (a) 12 (b) s (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4321 - -4857. Suppose -74 = -s - 4*l - 451, 0 = -5*s - 5*l - 1900. Let t = s + k. Does 40 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-42)\/(-10) - -1)\/((-14)\/10) and -14\/157.\nAnswer: 1099","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 5 = 5. Suppose 0 = -208*t + 204*t + 16. Suppose -22*g + t = -20*g. Solve g*n = -0 - b for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 1\/2, -49134, 4, -0.5 in ascending order.\nAnswer: -49134, -0.5, -0.2, 1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6 + 1 - 2) + -2. Let p(q) = q**2 - 5. Let s be p(0). Let u(f) = -f - 3. Let d be u(s). Solve 7 = -d*l + z - 2*z, -3*l - 18 = m*z for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5714?\nAnswer: 2, 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -16*u + 17*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - -2) + (-2)\/(-1). Suppose 17 = s + 7. Suppose -r - 2*a = -10, r + s*a - 5*a = 25. Solve b*t - 2*t - 1 = r for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**5 - q**5 + 0*q**5 + (-q**3 - q + q)*(5*q**2 - q**2 - 2*q**2) - 2*q**5 + 3*q**5 - 3*q**5 - 3354*q**5 - 3010569*q**4 + 3010569*q**4.\nAnswer: -3357*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*o - 17*o = 175 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/3 (b) -3 (c) -15\/416\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4316*m - 1636*m + 4481*m + 41682 = 214*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/8 and -17\/5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 601445558.\nAnswer: 2, 7, 29, 43, 47, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 172.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -13035 divided by 79?\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -5*i - 5*o + 22, 25 = 5*o. What is the second derivative of -j + 5*j - i*j - 2*j - j**2 wrt j?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 1\/3 (b) -36 (c) -112 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19 and 1519487?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2. Let h(g) = -4*g**2 + 2*g + 2. Let v(t) = h(t) + 3*r(t). Let a be v(0). Suppose c + 2*k - 773 = 0, -a*c - 2*c - 2*k + 3062 = 0. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 27*z. Solve -6*g = 5*n - 4*g + 17, n + 3*g - 7 = z for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187*z = 230*z - 688 for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 4*v + 9 = 0, 0 = -15*z + 13*z - 2*v + 6. Solve n - 4 = -4*a - 8, -n + 10 = -z*a for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = t + 3*r, 2*t - 5*t = 2*r - 15. Suppose -t*b + 0*b = -15. What is the remainder when 18 is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 133475403?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 440585515 to the nearest integer?\nAnswer: 20990","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 8:53 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 532076?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dt when two letters picked without replacement from ttttttttttdd.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(sqrt(10)\/(sqrt(15)\/sqrt(3))))\/((sqrt(66) - (sqrt(66) + 2*sqrt(66))*-3)\/sqrt(11)) + 3.\nAnswer: sqrt(3)\/10 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/(sqrt(20)\/sqrt(125) + sqrt(4)).\nAnswer: 5*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 11:29 AM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 329 or 328?\nAnswer: 328","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - -3) + (-3 - 13) - (1 - 5) - 37?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 286 + -161. List the prime factors of s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 68 + -80 + -11 - -82.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 + 2 - 15 = -3*m for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24 + -12?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 97.7 times 152467?\nAnswer: 14896025.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -21*g + 4. Let j(d) = -9*d + 32. Let o(c) = -13*c + 51. Let i(v) = -8*j(v) + 5*o(v). Determine -2*b(n) - 7*i(n).\nAnswer: -7*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-640)\/(-192)*12\/10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - g - 2 = 2, -2*g = -w + 11. Let m be ((-4)\/66)\/(2\/6). Is w bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/26 and 107\/572.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30357 and 33?\nAnswer: 333927","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 218658.685 and -351620?\nAnswer: 570278.685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 3*u**2 - 5*u. Calculate the remainder when m(5) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -408?\nAnswer: -81.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1398, 1415, 1424, 1425, 1418?\nAnswer: 1403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-306)\/(-8) + (-2)\/8. Suppose 2*q + 31 = 3*u, 4*u - q + 0 = a. Calculate the smallest common multiple of 18 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q**2. Let a be 44\/20 - (-2)\/(-10). Let s(t) = a*t - 2*t + 5*t - 4*t. Calculate b(s(y)).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2182 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -176*b**2. Let u(z) = 284*z. What is a(u(w))?\nAnswer: -14195456*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2097, 2098, 2099, 2100, 2101, 2102?\n\"Answer: c + 2096","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47*t - 17*t**2 + 47*t)*(1 - 2 - 3)*(2*t**3 - t**3 - 3*t**3) + 8*t**5 - t**5 + 14*t**5.\nAnswer: -115*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z - 62. Let m(b) = 19*b. Determine m(h(n)).\nAnswer: -38*n - 1178","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 4. Let w = y + -0.3. Let h = -4.11 - -0.11. Which is the third biggest value? (a) w (b) -1\/3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3004 - 237. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 0*i - 21 = -2*u, -u + 15 = 2*i. Calculate the remainder when u is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c**2. Let v(k) = 6*k**2 - 14. Let b(g) = 16*g**2 - 31. Let n(m) = 2*b(m) - 4*v(m). Give n(j(w)).\nAnswer: 72*w**4 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 2*s - 4, s - 1 - 6 = -3*z. Let a be s*(-2)\/4*-6. Factor 21\/2*x**4 - a*x**2 + 3\/2*x - 9\/2*x**5 + 1\/2 - 5*x**3.\nAnswer: -(x - 1)**3*(3*x + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - (1 + (13 - 1)). Let y(o) = -o - 8. Let k be y(h). Let u(s) = -8*s - 2. Let c(x) = 12*x + 3. Let p(d) = -5*c(d) - 8*u(d). What is p(k)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**2 + 621874520*j - 19336395931261520.\nAnswer: -5*(j - 62187452)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(304) + 1*sqrt(304))*3)**2.\nAnswer: 273600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of b**3 - 422379*b**2 - 195*b - 25731459?\nAnswer: 3*b**2 - 844758*b - 195","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of -1 + 0*s + 3\/2*s**2. Let r(u) = 2*u**2. Calculate q(r(b)).\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*l + 37 - 1. What is the lowest common multiple of 52 and l?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 278725 and 111490.\nAnswer: 557450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 697087752 to the nearest integer?\nAnswer: 26402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2563323, 5126645, 7689967, 10253289, 12816611?\n\"Answer: 2563322*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1633 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + 2. Solve -m - 5*g = -6*g, p*g = -3*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25 and 277455?\nAnswer: 1387275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66002.12 litres to millilitres.\nAnswer: 66002120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3*a = 279, -5*k - 2*a + 434 = -280. Let g = 331 - k. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 70 + -60. Suppose -220 + i = -s. Is s a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55321514 (base 6) in base 10?\nAnswer: 1659286","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -54644022 (base 7) to base 12\nAnswer: -16a7ba9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-160)\/(-200)*5*7. What is the hundreds digit of (-1770)\/(-4) + 14\/b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 2*a = 0. Suppose a*r + 3 = r. Suppose -4*m + 7*m + 105 = r*n, -3*m + 23 = n. Is 21 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (6 + -6 - 6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.4 + -0.1. Let o = 37 - 39.1. Let z = o + 6.1. Which is the biggest value? (a) 1 (b) z (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1023?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of 11 + 0*h**5 + 32*h**2 - 1\/15*h**6 + 157\/12*h**4 + 0*h**3 - h. Differentiate p(n) wrt n.\nAnswer: -8*n**3 + 314*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41800 by -10450.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -480*3419.\nAnswer: -1641120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-27)\/(-18)*(16 + 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 1:19 AM?\nAnswer: 11:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(1872) - (sqrt(1872)*-2 + sqrt(1872))*2)*4)**2.\nAnswer: 269568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 9:51 PM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {d: 2, a: 7}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20582*g**5 - 6*g**2 + 4*g - 49?\nAnswer: -1234920*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2. Let m(c) = 7*c - 26. Give d(m(r)).\nAnswer: 49*r**2 - 364*r + 676","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-7)\/c)\/(c\/c**(-2)))\/(c**(-2\/21)\/c**(-2\/29)) assuming c is positive.\nAnswer: c**(-6683\/609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4648 take away 0.4?\nAnswer: -4648.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*i**3*w**3 - 3821773*i**3*w**2 - 3*i**2*w**3 - 8*i**2*w**2 - 4*i*w + 2*w**2 - 1411*w wrt i?\nAnswer: -60*w**3 - 22930638*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**3 - 114205*q**2 + 1369920*q - 4109220.\nAnswer: 5*(q - 22829)*(q - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s + 188 - 188. Let a(c) = -c**2. Determine o(a(n)).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.042221 - 4.\nAnswer: -3.957779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 113 - -42483141?\nAnswer: 42483254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.06, -91\/297, -30?\nAnswer: -91\/297","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggxhggghguggupguggh. What is prob of picking 1 x and 1 h?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203836039.\nAnswer: 11, 43, 47, 53, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27316100 (base 8) to base 6.\nAnswer: -335254024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**1)\/((x\/x**(-2\/9))\/x))\/(x**(-1)*x*x*(x\/((x*x**2*x)\/x))\/x) assuming x is positive.\nAnswer: x**(34\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (41\/2)\/(6\/36) is divided by 33.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -5*n - 1. Let m be y(-1). Solve 3*k + 4*q = 27, m*k + 2*q = -0*q + 26 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 - (4 - -16)) + 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/6)\/(10\/(-45)). Let h = b + 6. Let r(d) = -d. Let n be r(-6). Solve 0*m = -h*o - 4*m + n, 5*m - 10 = -5*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42 and 1901508?\nAnswer: 1901508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.35 + 30464132.\nAnswer: 30464131.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 211*p. Let b(y) = -16*y. Determine w(b(k)).\nAnswer: -3376*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2474*u - 2349*u + 4521*u)*(-1 + 1 + 2) in the form b + p*u and give p.\nAnswer: -604","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 5:51 PM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(210) - sqrt(210)*-1)\/sqrt(5))\/(-5*sqrt(30)\/sqrt(5)).\nAnswer: -2*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 2*z + z)*(249*z + 270*z - 42*z + 3*z).\nAnswer: 1440*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 4*s + 24, 7*n = 2*n + 2*s + 33. Differentiate -8*q**2 - 4*q**2 + 17*q**2 + n*q - 8*q**2 - 39 with respect to q.\nAnswer: -6*q + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54 (base 11) to base 16\nAnswer: 3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = h + 2*h - 17, -3*k + 4 = h. Suppose -7*w + 5*w = h*w. Suppose w*c - 18 = 2*c. Let j(u) = u**3 + 9*u**2 - 9. Give j(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 11. Let f(o) = -9. Let t(s) = 5*f(s) + 4*x(s). Let b(d) = -2*d**2 + 1. Calculate b(w) + 2*t(w).\nAnswer: -2*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 141843 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 - 3. Let z = -18 + h. Let y = -5 - z. Which is the closest to -1? (a) -1 (b) y (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000054118 rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 249?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 + 8*a - 10. Determine l(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 16*p**2. Let q be s(-1). Suppose 3*l - 3*j = 0, 0 = 5*l + 3*j + j + 36. Let a = l + 4. Solve -2*x - 2*x + q = a for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 25 (b) -0.25 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/28*176 + 150\/175. Let i(o) = o**2 + 12*o - 4. Let j be i(-12). Sort -1, -2, j, c.\nAnswer: c, j, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -4.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5993414848?\nAnswer: 2, 5471, 17117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 68 + -63 + (-1 - -10) + 2?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((50 - z**2 - 50)*(0 + 12*z**2 + 0) + 0*z**4 + z**4 + 0*z**4)*(z + 0*z + 2*z) + (-2*z**4 + 0*z**4 + 3*z**4)*(-1 + 1 - 2*z).\nAnswer: -35*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = g - 6. Solve -4*q + 1 = x - g, 2*x - 5*q = 5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 9808 and 158?\nAnswer: 9650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 375 is divided by 38.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 11, 92, 227, 416?\n\"Answer: 27*q**2 - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40 - 35. Suppose -4*z = -y*c - 2720, 10*c + 1100 = 8*c + 4*z. What is c rounded to the nearest 10?\nAnswer: -540","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -3\/8 (c) -5 (d) 2\/21 (e) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u + 42. Let q(s) = -2*s - 126. Let k(l) = 14*m(l) + 5*q(l). Let t be k(18). Suppose 6*w + t = 9*w. Is 5 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-nine quarters of a millennium?\nAnswer: 1225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g**2 - 114*g + 571. Give t(51).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 98*u - 2124. Give v(32).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n + 41. Let d be c(-22). Let p(y) = y + 5. Let g be p(-4). Suppose g = -4*h + 13. Solve -3*w + d = r, h*r - 7 = -w + 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5568 and 1600?\nAnswer: 139200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 5*c + 3. Let f be 17\/5 + (42\/(-15))\/7. Let s(v) = 5*v + 2. Determine f*s(u) - 2*i(u).\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g - 4. Let h(p) = -1. Let t(r) = 6*h(r) - x(r). Let z be t(-2). Suppose n - 2 = -5*k + 2, n - 2*k - 39 = z. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -7*b**3 - 2*b**2 - 5*b + 5. Let v(z) = 6*z**3 + z**2 + 4*z - 4. Give -5*v(q) - 4*x(q).\nAnswer: -2*q**3 + 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -243372816 divided by 3162\nAnswer: -76968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of 0*c**5 + 0 + 8*c + 0*c**3 - 1\/6*c**6 + 0*c**2 + 5\/12*c**4. Factor s(n).\nAnswer: -5*n**2*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u - 15. Let c be v(10). List the prime factors of ((0 - c) + 78)*(0 - -1).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11.1 + 2.1. Let j be 1*(4 + 12\/(-9) - 3). Which is the smallest value? (a) 2 (b) 3 (c) l (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -1. Let l = 67\/90 - 11\/18. Let m = 4\/5 - l. Which is the smallest value? (a) 0.2 (b) m (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223 is divided by 24.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 14 = -2*f, 0 = f + 3*f - 2*t + 28. Let i(a) = -a - 9. Let s be i(f). Let l(y) = y**2 + 4*y + 3. Determine l(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 145875870?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) - (sqrt(297) - -3*sqrt(297))\/sqrt(9))\/(sqrt(44)\/sqrt(4)*-2)*2.\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -813 (base 11) to base 10.\nAnswer: -982","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -545, -470, -385, -284, -161?\n\"Answer: o**3 - o**2 + 71*o - 616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*f, 11 = 4*b + f - 25. Let d(s) = -s**2 - 1. Let x be d(2). What is the lowest common multiple of (-42)\/x - 14\/35 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -f**4\/4 - 4*f**3\/3 + 4*f**2 - 1. Let o(x) = -4*x**3 - 16*x**2 + 33*x. Let j(m) = 9*g(m) - 2*o(m). What is j(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -2.9. Suppose -9*v + 5*v = -4. What is the closest to a in v, -5, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 21776086 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 9:51 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1050, -10569, -26440, -48663, -77238?\n\"Answer: -3176*o**2 + 9*o + 2117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -21128 divided by -2?\nAnswer: 10564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17007 - -17002. Suppose -2*l + 3 = -l, 2*l = -5*y - 9. Sort y, -2, d, -1 in ascending order.\nAnswer: d, y, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 24. Let x(q) = 17. Let s(g) = -5*o(g) + 7*x(g). Let a(w) = 8 - 5*w - 2 + 2 - 4. What is -a(m) - 4*s(m)?\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -468 - -471. Which is the second smallest value? (a) -3 (b) u (c) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108 = 9*n - 45 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.34 - 0.04. Let w = -9.5 + 9.5. Suppose 2*h - 12 = -3*a - 0*a, 4*a - 17 = -3*h. Put c, w, h in increasing order.\nAnswer: w, c, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 351964736 to the power of 1\/3, to the nearest integer?\nAnswer: 706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 664 and 1021481.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 653681340*b**3*u**3 + 2*b**3*u - 5*b**3 - 7*b**2*u**2 - b**2 - 2645*b + 4 wrt u.\nAnswer: 3922088040*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, a: 8}. Give prob of sequence taaa.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 50\/(-20)*((-16)\/(-80))\/(2\/14)\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-62)\/(-17) + (-43)\/(817\/76)?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 78*u**2 + 3*u - 1. Let m(x) = 17*x**2 + x - 1. Give a(v) - 4*m(v).\nAnswer: 10*v**2 - v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-30)\/(-4))\/(15\/20). Suppose 3*r + 6*o + j = 2*o, -2*o = 5*r - 2. Suppose -3 = -h - 4*c - 5, r*h = -4*c. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9907, -20065, -30475, -41137, -52051?\nAnswer: -63217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5b4b (base 12) to base 6.\nAnswer: 115335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 462.94 + -462.9419889. Round v to five decimal places.\nAnswer: -0.00199","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.199416 litres?\nAnswer: 199.416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.01 + 0.01. Let k = -6 - a. What is the smallest value in k, 1, -4\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - ((-4 - (-1 - -3)) + -51 + 66).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*r = 5*d - 68*r - 101999, 0 = 4*r + 24. What is the thousands digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 3*z - 3. Let b be (-14)\/5 + 5\/(-25). Let j(x) = -2*x + 2 - 1 + 1. What is b*f(p) - 4*j(p)?\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w + 2. Let y be h(3). Let z be y*(-3)\/(-6)*18. Let q be 3\/(15\/10) - 7. Sort z, -1, q in ascending order.\nAnswer: z, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, -9, -27 in decreasing order.\nAnswer: 39, -9, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*w + 4094 = 4316 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131453629?\nAnswer: 199, 769, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-300)\/260)\/(136\/(-442))?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22*i**3*p*w*z**3 - 2*i**3 - 2*i**2*p*z**3 + i*w*z**2 + 2*p*z**2 - 8*z**2 wrt z.\nAnswer: -132*i**3*p*w - 12*i**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1355?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(700) + 3 + sqrt(700) + sqrt(700)*1).\nAnswer: 15 + 150*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -r - 2*t, -4*t + 3*t = -3. Suppose r = -3*q + q + 146. Does 15 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 + 7. Let i(d) = d**3 + 6*d**2 - 2*d - 6. Let l be i(-6). Suppose l*s = 2*s + j. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4*(12\/(-36))\/((-4)\/(-54)). Suppose 0 = v*z - 612 - 90. Is 5 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113055*r + 104739*r + 6*r**2 - 217794*r.\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -2*d - h + 27, -10 = 2*h. Solve -d*q - 8 = -2*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -151610 > -150800?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -429143 (base 10) in base 4?\nAnswer: -1220301113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 156364041?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**1)**(-2\/9)\/(c**(-3)*c**3))**7 assuming c is positive.\nAnswer: c**(-14\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.3, 4\/5, 0.5, -774 in descending order.\nAnswer: 2, 4\/5, 0.5, 0.3, -774","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -342.\nAnswer: -102.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 - 7*j**2 + 14*j - 14. What is v(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n**2. Let t(x) = -6*x - 307 + 307. Calculate q(t(b)).\nAnswer: -72*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of 1\/2*j**4 - 1\/2*j**2 + 2*j + 2\/5*j**5 - 1\/6*j**6 - 1 - 4\/3*j**3. Factor m(d).\nAnswer: -(d - 2)*(d - 1)**2*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 20*l**4 + 1652*l**3 + 12824*l**2 + 7104*l = 0.\nAnswer: -74, -8, -3\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/6 and -40\/369.\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -263*z + 9058. Give i(6).\nAnswer: 7480","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -19098, -19099, -19100, -19101, -19102?\n\"Answer: -i - 19097","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 118 + 28 = 0. Let m be z\/105*14\/(-4). Suppose s = m*s - 158. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 917, 1836, 2755, 3674?\n\"Answer: 919*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 742*r**2 - 43*r + 42. Let w be l(1). Calculate the greatest common factor of 39 and w.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 17, n: 3}. What is prob of sequence nmn?\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 81686 - 245056\/3. Solve -a*r**3 - 9\/2*r**2 - 8\/3 + 1\/6*r**4 - 19\/3*r = 0.\nAnswer: -2, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + x - 21048. Let f = 7819178313949\/371273676 - 2\/30939473. Let s = f + x. What is the common denominator of s and -103\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pfk when three letters picked without replacement from vgkkkvgbgfkfpff?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 4. Let p = -285.88 + 297.88. Which is the nearest to 0.1? (a) p (b) y (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -915.9 + 916.1. Let v = 372\/5 - 74. Suppose 5*m - b + 2*b = 38, -5*m = 4*b - 32. Put v, q, m in descending order.\nAnswer: m, v, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 16*i = 15*i + 238, -o - 5*i + 70 = 0. What is the lowest common multiple of o and 70?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4 = 0, -4*d + 948 - 3312 = -3*i. Is (-168)\/d + (-1 - 30868\/(-7)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -134575633 + 4?\nAnswer: -134575627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ohx when three letters picked without replacement from ghhhggxoxh?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 1 - 12*a**3 - 21*a**3 - 29*a**3 - 4*a**2 + 56*a**3. Let t(s) = -7*s**3 - 5*s**2 + 2. Let g be (8\/(-6))\/(4\/(-12)). Give g*t(z) - 5*b(z).\nAnswer: 2*z**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 5*n - 300 = 0, -4*s + 1111 = -n - 173. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13964 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*q**3 + q**2 - 3*q**3 - 5 - 8*q**4 + 6*q**4 as o*q**4 + h*q + s*q**2 + g*q**3 + w and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 - 10*g**2 - 6*g + 9. Let r be m(-8). Let a = -48 - r. Calculate the remainder when a is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 92798?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6017079522 minus -0.05?\nAnswer: 6017079522.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**2 - 2*n**2 - n**5 + (3*n**4 - 2*n**4 + 0*n**4)*(2*n - n + n) + 4*n**5 + n**5 - 2*n**5.\nAnswer: 4*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (16\/6)\/4*6. Suppose b*n = -2*o + 14, 2*n - 5*o - 25 = -3*n. Calculate the least common multiple of n and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**3 + 199*s**2 - 55*s**2 + 199*s**2 + 111*s**2.\nAnswer: -2*s**3 + 454*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*d**3*w**2 + 38*d**3*w - 11*d**2*w**2 - 3*d*w**2 + 2*d*w - 34293*w wrt d?\nAnswer: 18*d*w**2 + 228*d*w - 22*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) 0 (c) -159\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -0.4, -1 in descending order.\nAnswer: -0.4, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 13 - 9 = 0. Let t(c) = 7446*c - 6. Let s be t(n). Is ((-2)\/6)\/(10\/s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-10 - 5)*0\/(-4). Let g(t) be the second derivative of 1\/6*t**4 - 6*t + 0*t**2 + u + 0*t**3. Let z(q) = 4*q. Determine z(g(d)).\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11590 = 91*d - 281*d. Solve -25*x + d = 11 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*r - 14. Let z be (-14)\/(-84) - (-17)\/6. Let y(i) = 3 - 2 - 5*i**2 + i**z - 3*i - 4*i + 5*i. Determine y(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4140779\/5 + 828185. Factor -20*j**2 - 4 - d*j + 26\/5*j**3.\nAnswer: 2*(j - 5)*(j + 1)*(13*j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49*7020\/5096*(-2)\/(-3)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 451026?\nAnswer: 2, 3, 25057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p + 28. Let y be r(-23). Suppose -y*l + 533 = 3*f, -241 = -4*f - 3*l + 477. Determine n, given that -175*n + f*n - 2*n**2 + 4*n**2 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 23*k = 110, -6*k + 4 + 3 = 2*i - 5 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8046.667 rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**2 + 2*b**2 - 2*b**2 + (2*b - 1 + 1)*(4*b - 4*b - 2*b) - 3*b**2 + 5*b**2 - 3*b**2 + 6481*b**2 + 60 - 57 - 3.\nAnswer: 6477*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12994 is divided by 1362.\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 574387?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 30711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4*o - 3 = 0, -3*j + o + 1 = -5. Suppose j*v - 8 = 4. Suppose v*d = 3*d. Solve -3*t = 2*t + g - 2, -3*t + g - 2 = d for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -59*g**2 + 10335. Let z(l) = 7*l. Determine z(k(f)).\nAnswer: -413*f**2 + 72345","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2673 and 1337040.\nAnswer: 132366960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 3) to base 16\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 + 21*f + 20. Calculate v(23).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 43 = -2*p + 2, -3*p - 5*w + 130 = 0. Suppose 5*a - 4*a + 134 = 4*j, 70 = 2*j - 2*a. Suppose -j*c = -p*c + 28. Is 14 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 420\/(-154)*(-22)\/4 - 12\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 - -1001110010?\nAnswer: 1001101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/((-216)\/(-57)) + -6 + -1 + 6.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 204 + -202. Solve 4*l = -4*p + 2 + 2, 0 = -4*l + b*p - 8 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2437930.\nAnswer: 2, 5, 11, 37, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*c + 34 - 97 = 0. Suppose -c*y = -5*k - 2*y + 152, -65 = -2*k - y. What is the remainder when k is divided by 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6364?\nAnswer: 2, 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1080 and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -3*f + 36. Solve -5 = -t - f for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 212401.3*5\nAnswer: 1062006.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - -48094.084863907.\nAnswer: 48093.684863907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 520 + -549.34. Round h to 0 decimal places.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*d - 4*d. Let y(c) be the first derivative of -2*c**3\/3 + 5*c**2\/2 - 106. Let x(i) = -3*i**2 + 9*i. What is d*x(u) - 5*y(u)?\nAnswer: u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 2 + (-3 - (-4 + -92)) - 16?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0416513 rounded to 3 decimal places?\nAnswer: 0.042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of 0*l**3 + 0*l - 1\/10*l**5 + 0 + 37*l**2 - 1\/24*l**4. Give q(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -5*r**3 - 7*r**2 - r + 5. Let b(x) = 5*x**3 + 8*x**2 + x - 6. Let v be (-28)\/4 - (-1 + 0). Let o(y) = v*b(y) - 7*d(y). What is o(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12441177.\nAnswer: 3, 7, 197479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 97, -3, -12\/29857, -5?\nAnswer: 97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, b: 3}. Give prob of sequence bm.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2302*s**2 + 24*s + 18. What are the prime factors of f(4)?\nAnswer: 2, 7, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -117 + 181. Let h = 193\/3 - m. Put h, -23, 2 in decreasing order.\nAnswer: 2, h, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -824523, -824524, -824525, -824526?\nAnswer: -824527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 964504 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3564, 3421, 3030, 2265, 1000, -891, -3534?\n\"Answer: -21*c**3 + 2*c**2 - 2*c + 3585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33 + -33. Suppose f = 2*g - 3*g + 4. Is g even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2594 is divided by 145?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*v + 33 = 2*n + 49*v, 56 = 4*n + 4*v. Let f(a) = -13*a. What is the remainder when f(-4) is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**3 + 7*o - 4. Let m(n) = 4*n**3 + 15*n - 9. Suppose 3*p + k = -2*p + 31, -5*p + 32 = 2*k. What is p*m(t) - 13*f(t)?\nAnswer: -2*t**3 - t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 26*s**3\/3 + 1348*s**2\/3 + 12974*s\/3 - 676 = 0.\nAnswer: -39, -13, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 505 + 3?\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 6*i - 6. List the prime factors of w(18).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*q + 34 - 76 + 37 to the form o + f*q and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -d + 6. Let y(t) = -6*t**2 + 10*t**2 + 4*t + t**3 - 21 + 7*t**d + 12*t**2. Is y(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -21*l**4 - 36*l**2 - 45*l + 18 - 13 + 15*l**2 + 3*l**5 + 15*l**2 + 22 + 42*l**3 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -95*b**2 - 73*b**2 + 127*b**2 - 2*b to the form y + q*b + o*b**2 and give o.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 59, 0, 2 in decreasing order.\nAnswer: 59, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 3 = -n. Let s = 8 - n. Suppose -5*m + s*l - 3*l + 85 = 0, 0 = 5*m + 4*l - 100. Is m a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19691862863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 86*n**2*q**2 + 3*n**2*q - 20*n*q - 2*q**2 wrt n?\nAnswer: 172*q**2 + 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124834*u + 124806*u = 532 for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 4*l + 3. Let h(m) = 14*m**2 - 1. Let x be h(l). Calculate the greatest common factor of 39 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 38934 and 14904.\nAnswer: 10745784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/65, -0.7, 9.\nAnswer: -0.7, 1\/65, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-12))\/1*(-1)\/(-5)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in 21\/2, 2\/13, 1?\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 5*o**2 - o + 4. Suppose -4 + 0 = -h. Suppose 0*j - h*j + 27 = -s, -4*j = 5*s - 33. Suppose 4*r - 13 - j = 0. Determine m(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1245 and 7035.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {m: 7, l: 3}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -6\/67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**3 - 4*l**3 + 4*l**3)*(-2*l - 3*l + l) + (-3*l + 4*l - 3*l)*(-3*l**2 + 4 - 4)*(-7*l - 3*l + 3*l).\nAnswer: -38*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**2\/2 - 10606*o = 0 for o.\nAnswer: 0, 21212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (67\/3)\/(4961\/(-14883)).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2 = -2. What is the second biggest value in 1, f, 7, 2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -40\/237 and -30\/223037?\nAnswer: 52859769","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2367*y**6 + 5*y**2 - 66*y wrt y?\nAnswer: 284040*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -22*o**3 + 5*o**2 - 5*o - 19. Let i(b) = -b**3 + b**2 - b - 1. Let x(v) = -5*i(v) + k(v). Differentiate x(t) wrt t.\nAnswer: -51*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**2 + 10*g - 27. Let a(s) = s**2 + 5*s - 13. Let u(j) = -13*a(j) + 6*m(j). Determine u(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 10744.99.\nAnswer: 10749.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 165455 and 5?\nAnswer: 165450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 746449.3576 to the nearest ten.\nAnswer: 746450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 588*p**3*w + 2*p**3*z - 2*w*z**2 - 371*z**2 wrt w?\nAnswer: 588*p**3 - 2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -3 - 2*s - 1 + 5*s + 7. Let v be t(22). Calculate the greatest common divisor of v and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195*u = -1029 - 8177 + 1991 for u.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51042924 is divided by 4639?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -4*h**2 - 2*h + 2. Suppose w - 4 = -0. Let y(q) = -17*q**2 - 9*q + 9. What is w*y(b) - 18*v(b)?\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4.193 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/11, 32, -6 in decreasing order.\nAnswer: 32, -3\/11, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 395 and 158.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - k - 6 = -2*p, -4*k = 4*p. Let b(i) = 5*i + 6. Let c be b(4). Let x(m) = 24*m**p + 0 - c*m**2 + 0. Let r(h) = -18*h. What is r(x(f))?\nAnswer: 36*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 4130?\nAnswer: 4130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 8*u - 9. Let q be v(6). Let o be q + (0\/(-1))\/(-2). Suppose o*g + g = 24. Which is the closest to g? (a) 5 (b) 0 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5\/12 - -3\/4. Which is the closest to d? (a) -4 (b) 2\/3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 402811?\nAnswer: 229, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) 14 (c) -0.11 (d) 0.07 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 20*n**2 + 9*n - 9. Let w be c(-20). Let i = w + 194. Is 1 smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(133)*2)\/sqrt(7) - (5 + 6*sqrt(152)\/sqrt(8)).\nAnswer: -2*sqrt(19) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, n: 2, s: 8, m: 2, w: 2, k: 3}. Give prob of sequence snns.\nAnswer: 7\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56 and 264756296?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48028, -49858, -51688, -53518, -55348, -57178?\nAnswer: -59008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 341957 rounded to the nearest one thousand?\nAnswer: 342000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7936 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -18007 bigger than -126046\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/4 - 607*h**2\/2.\nAnswer: -h**2*(h + 1214)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 999 or 995?\nAnswer: 995","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -168 + -29a?\nAnswer: -424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 + 2*y**2 + 0*y**2)*(-2 - 3 - 3) + (-y + 2 - 2)*(y + 5*y - 5*y).\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3413?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-20)\/12)\/(-2 + (-134)\/(-66)). Let b = 64 + p. Let n = 21 - b. Calculate the highest common factor of 120 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 24\/7 (b) -130 (c) -2\/5 (d) 2 (e) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -87.05 less than -409?\nAnswer: -321.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 5 + 31*a + 6)*(0*a**2 - 7*a**2 + 2*a**2).\nAnswer: -155*a**3 - 10*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((2*(sqrt(27) - sqrt(2187)) - sqrt(27))*-2)\/(5*sqrt(9)*1 + sqrt(108)\/sqrt(3)).\nAnswer: -170*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from trir. Give prob of sequence tir.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 + 4*v + 5. Suppose 3*u = 3*d + 15, 4*d - 2*u + u + 17 = 0. What is the smallest common multiple of m(d) and 9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.25 + -5.25. Sort n, -0.01, -4 in decreasing order.\nAnswer: -0.01, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 43, 58, 73?\n\"Answer: 15*l + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-1))**(-1\/26)\/((g*((g*g*g*(g\/(g*g\/g**(-3\/8)*g))\/g)\/g*g*g)\/g)\/(g**1*g*g)))**(-27))**(2\/11) assuming g is positive.\nAnswer: g**(-513\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*k + 31. Let n(c) = -27*c - 1. Let u(w) = -1. Let g(d) = n(d) - u(d). Let x be g(-1). What is the greatest common factor of k and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1986800 divided by 5\nAnswer: 397360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7166 + -7152. Solve -787 = x*r - 731 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7 and -1888338.7.\nAnswer: -13218370.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89897.\nAnswer: 89897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10012401?\nAnswer: 3, 7, 158927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a centimeter in micrometers?\nAnswer: 92000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of f**4\/4 - 2*f**3 - f**2\/2 + 6*f + 5. Let b be s(6). Solve b*j = -j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 17244?\nAnswer: 17242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -14*s**3 + 158*s**2 - 59*s - 505. Let q(i) = -5*i**3 + 53*i**2 - 20*i - 168. Let z(v) = 6*f(v) - 17*q(v). Is 19 a factor of z(-47)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4058 or -128?\nAnswer: 4058","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 4*b = -44, -21*h + 16 = -20*h - 2*b for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -1. Let k = -6 - j. Which is the nearest to 1? (a) 0.1 (b) k (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01095 + 287.5?\nAnswer: 287.51095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5241, 5259, 5289, 5331, 5385, 5451, 5529?\n\"Answer: 6*g**2 + 5235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 778443.6 decades to millennia.\nAnswer: 7784.436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + (4\/1 - 110\/22). What is the nearest to d in -3, -0.2, 3, 1\/9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 14*b - 16. Let i be r(-6). Let q be (-2)\/8 + (-45)\/i. Suppose -16 + 6 = 2*o + 4*n, 30 = 4*o - 2*n. What is the biggest value in q, o, 0.8?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 213, 222, 245, 288, 357, 458, 597?\n\"Answer: v**3 + v**2 - v + 212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jttjjjpjjtqmqqqjtjjj. What is prob of sequence pqj?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1027?\nAnswer: 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -2125\/6 - 5\/6*b**2 + 75*b = 0.\nAnswer: 5, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*o - 71*o - 420 = 0. Let t = o - -115. Put t, -1, 2 in increasing order.\nAnswer: -1, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3455784*w**3 - 13038056*w**2?\nAnswer: -20734704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -941069 - 7.11?\nAnswer: -941076.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74303 + 270*x**2 + 74303 - 2*x**3 - 565*x**2 + 295*x**2.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.706 + -0.706. What is the nearest to 0 in -5\/3, o, 2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 22226, 88909, 200048, 355643, 555694, 800201?\n\"Answer: 22228*d**2 - d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((2\/2)\/1)\/(25133\/(-1226)). What is the nearest to -7\/2 in m, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 41\/82*(1 + -17). Let q(j) = -5*j**2 + 7*j**2 - 6*j + 4 + 5 - 3*j**2. Calculate q(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.086, -12, -1\/18 in descending order.\nAnswer: -1\/18, -0.086, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 229701544 to the power of 1\/4, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-4 + ((-1 + sqrt(192))*-3 - sqrt(192)) - 5*(sqrt(192) - (sqrt(192) - (sqrt(192) - -1*sqrt(192))*2))))**2.\nAnswer: -1152*sqrt(3) + 110601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 at most as big as 1895?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 97.\nAnswer: -6\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 20 = 0, 0 = 4*o - s - 104 - 67. What is the smallest common multiple of o and 40?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -3*i**2\/2 + 69*i + 190380 = 0.\nAnswer: -334, 380","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of -2\/3*y**3 - 5\/2*y**2 + 2*y + 5\/4*y**4 + 4. Solve j(u) = 0 for u.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 5:53 AM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -660.8617 rounded to 1 decimal place?\nAnswer: -660.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 5*j + 23, 5*t - 5 = -2*j - 1. Solve 16 = -t*n - 2*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.012698681 to four dps.\nAnswer: -0.0127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*j**5 - 3612*j**4 + 172324*j**3 - 2171060*j**2 + 3839616*j - 1837264 = 0. What is j?\nAnswer: -949, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.41 - -16.59. Let s = 15 - r. Which is the nearest to -0.2? (a) s (b) 1\/2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -5, -373?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from tttmmtmtttttttmttt.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 479?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 + 20*x**2 + 54*x + 1574. Give b(-21).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x - 17 + 37 - 9 in the form t + m*x and give t.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -7*m. Let l(c) = -c**3 + 38*c**2 - 42*c + 202. Let i be l(37). Let p(j) = 20*j - 1. What is i*h(d) + 6*p(d)?\nAnswer: d - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -4*x**3 + 9*x**2 + 5*x + 1. Suppose 6*b - 10 = 4*b. Let q(z) = -z - 3*z**3 + 0*z**3 + b*z**2 + z**3 + 4*z. Let d = -232 - -237. Give d*q(m) - 3*y(m).\nAnswer: 2*m**3 - 2*m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 3*x + 4*x)*(0 + 2 - 1)*(4 - 3*x - 2 + 4*x).\nAnswer: 9*x**2 + 18*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2766 + 91*o - 2766)*(-5 + 5 - 3*o**2) - 22*o**3 + 36*o - 36*o.\nAnswer: -295*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 3*t = -81, -3*t = y - 2*y + 27. Let x = 819 - 675. Calculate the greatest common divisor of y and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3080 by 770.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) + 5*2*sqrt(832) - (sqrt(832) + -1*sqrt(832)*2))**2.\nAnswer: 119808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 18*6\/42*(-189)\/(-1). Suppose -m - 104 = -5*l. List the prime factors of l.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**2 + 91248*i + 520387344.\nAnswer: 4*(i + 11406)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {z: 1, m: 1, d: 1, j: 5, w: 2, f: 5}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -53788800 divided by -4\nAnswer: 13447200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - 2*q - 1. Let s be g(5). Let v = 7 - -13. Let u = v - s. Does 2 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 11) to base 5.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-519485400)\/(-2857170426) - 4\/22. Let v = c - -11478249281881\/779228298. Let q = 14722 - v. Calculate the common denominator of -109\/6 and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**3 + 2 + 127*j**2 + 58*j**4 - 28*j**4 - j - 3 - 29*j**4 to b + r*j**4 + u*j**2 + d*j + m*j**3 and give u.\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -8*n - 41. Calculate the remainder when 114 is divided by z(-10).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/123 and 70\/2889?\nAnswer: 118449","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15 or 1846\/125?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 125860277343 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 5*g - w, 0 = g + 166*w - 168*w - 1 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1007692?\nAnswer: 2, 7, 17, 29, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 2*q + 3 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-2)*(-26 + 12)*(7 - 603\/63).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/(-15))\/((-1)\/(-10)). Let b(p) = 1 - p - 18*p**3 - 16*p**3 - 14*p**3 - 19*p**3 + 66*p**3 - 5*p**2. Calculate b(m).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 4)*(0 + 0 + 1)*(7*g + 5 - 5).\nAnswer: 21*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4436090?\nAnswer: 2, 5, 443609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, -5, -2452132 in decreasing order.\nAnswer: 35, -5, -2452132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of 11*g**7\/210 - g**6\/60 - 11*g**5\/60 + g**4\/12 - 7*g**2. Factor f(h).\nAnswer: h*(h - 1)*(h + 1)*(11*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 1\/2, -3, -6, -2\/15 in ascending order.\nAnswer: -17, -6, -3, -2\/15, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.511 + -0.911. Put g, 3, 2\/7 in descending order.\nAnswer: 3, 2\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*c**3 - 5*c**3 + 2*c**3)*(2 + 0*c**2 - 3 + c**2) + (-c**2 + c**2 + 2*c**4)*(-5 + 2*c + 5).\nAnswer: 9*c**5 - 5*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 9:51 PM?\nAnswer: 2:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-724)\/(-16) - 2\/8?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -88*1*(-1)\/2. Suppose d = 5*i - i. Let u = -1 + 45. What is the highest common divisor of i and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/1466143 and -77\/154573362?\nAnswer: 1082013534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.22 greater than 35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 18 = -2*o, 10*k = -5*o + 6*k - 78. What is the third biggest value in 0.5, -18, o?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4281 - -3?\nAnswer: 4284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 + 6*v + 1. Let z be (-8)\/(-6)*117\/26. Let m(l) = 0*l**2 - 2*l**2 + 5*l + l**2 + 1. Calculate z*m(q) - 5*a(q).\nAnswer: -q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*((23547\/1323 - 18) + -1*6\/(-27))?\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-6) + 497\/3. Suppose -v = s - 9. Let h = s + 221. What is the greatest common divisor of h and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -44 + -1740?\nAnswer: -1784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/44 and -111\/935176.\nAnswer: 935176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of 71*s**4\/24 - 19*s**3\/6 + 21*s**2\/2 + 19*s. Let x(u) be the first derivative of f(u). Is x(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -220 by -2.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/133889 or 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001110 + -1010100010?\nAnswer: -1011110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3434 + -3437. Let l(o) be the second derivative of o**6\/240 - o**5\/120 + o**4\/6 - o. Let i(x) be the third derivative of l(x). Give i(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 4*b**2 + b - 12. Suppose -20 = 4*k - 4*i, 0 = -0*i + 4*i. Is a(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/((27\/(-2))\/(-3)))\/(((-103148)\/18939)\/(-241))?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - 6*h + 5. Let s = 14 - 20. Let m be j(s). Let r(q) = -q**2 + 7*q - 8. Let o be r(m). Solve 0 = -2*x - o*x + 16 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2. Let z(h) = 5483*h**2 + 5798 - 5798. Give z(r(v)).\nAnswer: 5483*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25249, -50496, -75745, -101002, -126273?\nAnswer: -151564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -122*d + 189*d - 75*d - 6. Let n(j) be the second derivative of -23*j**3\/6 - 17*j**2\/2 + 9*j. Calculate 3*n(h) - 8*r(h).\nAnswer: -5*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/19504 and -129\/2530?\nAnswer: 1072720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*g = 12*g - 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*0*3\/12. Let f(d) be the third derivative of -1\/3*d**3 + k + 0*d - 1\/24*d**6 - d**2 + 0*d**5 + 0*d**4. Differentiate f(b) with respect to b.\nAnswer: -15*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1330975\/62 + 21468. Calculate the common denominator of 71\/2 and q.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 59 = 151. Suppose 0 = -0*k - 2*k - c - 40, 3*c = 3*k + 69. Is h equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 u when three letters picked without replacement from xxxuqqvvquqqvqqq?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**4\/13 - 54560*y**3\/13 + 371935484*y**2\/13 + 2233086240*y\/13 + 3350366082\/13.\nAnswer: 2*(y - 13643)**2*(y + 3)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -19*r**3 - 649*r**2 - 104*r - 39. Calculate t(-34).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.1 - 560.\nAnswer: -551.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-105)*-9*1218*25\/450?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = u + 8. Which is the nearest to u? (a) -0.2 (b) -1 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 581112433 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -8 + 5 + 2 - -10. Let t = 18 - 10. What is the remainder when (0 - -54)\/(-7 + j) is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1539) - (sqrt(1539) + (-1*sqrt(1539)*2 - sqrt(1539))) - (-4*(-1 + sqrt(19)) + 0 + sqrt(76)\/sqrt(4)).\nAnswer: -4 + 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18295160867 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 197 + -984\/5. Let i = 0.68 - 0.07. Put 2\/15, 3, i, a in decreasing order.\nAnswer: 3, i, a, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by 8\/(-14)*(1287 - 13)\/(-26).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*h + 15*h + 6*s = -20, 2*s + 8 = -h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 133812893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 40*k - 22 = 42*k, -27 = -3*q + 5*k. Calculate the least common multiple of q and 413.\nAnswer: 826","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 580*t - 562*t = 108. Let u = 10 - 6. Suppose 15 = -u*n + 231. Calculate the highest common divisor of n and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6135?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 9 (c) 14 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(152)\/sqrt(72) + (sqrt(209) + (-1*sqrt(209) - sqrt(209)) - sqrt(209))\/sqrt(11).\nAnswer: -5*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7734 - -10828. What is the lowest common multiple of 26 and m?\nAnswer: 3094","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 5*n**2. Let s(x) = -8*x**2 + 4*x**2 + 5*x**2. What is p(s(t))?\nAnswer: 5*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/242 and 65\/2662?\nAnswer: 2662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 840 and 420.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 7. What is the remainder when 4*(8 + (-9)\/w) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21 + 32012?\nAnswer: 32033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 + 9*u - 6. Let x be j(-9). Let q(a) = -a**3 - 5*a**2 + 7*a + 9. Determine q(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, e: 5, g: 2, p: 3, d: 2}. What is prob of picking 1 a and 1 p?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -98 + 82*r**2 + 98 + 10*r**2. Let q(u) = -16*u + 22*u + 12*u - 18*u - 6*u**2. Calculate q(s(k)).\nAnswer: -50784*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*g, -3*g = -5*s - 0*g + 37. Let k(z) = -4*z + 9*z**2 + 4 + 4 + 1 - z**3. Is k(s) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -312 = 5*d - 337 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 83 - 84. Let y(t) = -t**3 + 6*t**2 + 5*t - 37. Let g be y(3). What is the closest to -1\/3 in z, -2\/5, g?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 539714 is divided by 2127?\nAnswer: 1583","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-36)\/(-8))*3\/(-4).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**2 + 5*z - 6. Let m be 22\/77*28 - (-4 + 9). Calculate h(m).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1529\/5 or 305?\nAnswer: 1529\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 + 8*v**3 - 14 - 14.\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 18, 0, -4 in ascending order.\nAnswer: -11, -4, 0, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 209880833?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4238840694682 + -987064921843459777\/232862. Let t = c - -2\/16633. What is the common denominator of t and -79\/18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -90933.1566 plus -19?\nAnswer: -90952.1566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -80 (base 16) to base 13.\nAnswer: -9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3170 and 3280?\nAnswer: 1039760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -93 - -128. Suppose -x - 16 - 16 = 0. Let s = v + x. Solve 2 = -s*f - 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 390541904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 16, 0.61 in descending order.\nAnswer: 16, 0.61, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1d8 (base 15) in base 16?\nAnswer: 1ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.008333 rounded to three decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -3*x + 308, -4*k - 4*x + 495 = -117. What are the prime factors of k?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5115724?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5083904987.\nAnswer: 7, 271, 349, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -950 + 3029 + 2*g**2 - 2079.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 471342?\nAnswer: 2, 3, 17, 4621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*s - 76 = 199. Solve 12 = -s*x - 21 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/((c**(-1)\/c)\/c*c))\/((c**4*c)\/c*c))\/((c*c\/c**5)\/c*c**(1\/2)\/c) assuming c is positive.\nAnswer: c**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + 4\/(20\/5). Suppose k*s = 15 + 18. Suppose -s*g - 11 = -10*g. Which is smaller: -10 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199837783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x + x**3 + 0*x + 1 + 0 + 0*x in the form o*x**2 + m*x + k*x**3 + t and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12143*f**3 + 24291*f**2.\nAnswer: -72858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o - 5. Let c be m(6). Let v be c*((-4)\/7)\/(-2). Are v and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-5)\/d)\/d*d**(-8))**(-31) assuming d is positive.\nAnswer: d**465","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 125293298 to the nearest integer?\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 418 is divided by 42.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -209*l**3 + 533*l**3 + 615*l**3.\nAnswer: 939*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l - 3. Let d(w) = -2*w**2 + 3*w. Let n be d(2). Let o be s(n). Solve -14 = 3*x + 5*f, o*f = 3*x + 2*f + 8 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 10, 40, 90, 160?\n\"Answer: 10*j**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 4*y - 5*y + 13, 0 = 2*y + m - 28. Let l = 94 - y. Let c = 120 - l. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36909, -147644, -332201, -590580, -922781, -1328804?\nAnswer: -1808649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + 2. Let b be (-5 - -2)\/a*-12. What is the greatest common factor of 36 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a milligram in micrograms?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 354\/(-5) - ((-48)\/(-15) + -3). Let i = l + 93. Does 7 divide (i\/6)\/(3 + (-17)\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6.1, 5, -2\/7, 0.173, 4 in descending order.\nAnswer: 6.1, 5, 4, 0.173, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -16. Suppose -3*w + 0*w = -x. Suppose 0 = 2*r - w*r. Solve r*y + 3*y - 12 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*i + i - i)*(-10 + 53*i + 10) + (i - i + i**2)*(-1 - 1 + 0) to c*i + p*i**2 + w and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-16)\/(-78))*33\/99.\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = -4*t - 300. Suppose w + 3*w = t. Suppose 18 = 12*g - 858. Calculate the remainder when g is divided by w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -8*d. Let a(g) = -5*g**2 - 7*g - 95. What is a(r(b))?\nAnswer: -320*b**2 + 56*b - 95","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 20616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 235827*n*y**3 - 5*n*y + 49*n + 756 with respect to y.\nAnswer: 707481*n*y**2 - 5*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 0, -8, 89, 12 in decreasing order.\nAnswer: 89, 12, 0, -8, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 147612 - 208612. Round c to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/6 in -0.5, -0.16, -4, -0.462?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12775 + 2173 = -6*k. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133)*3 + sqrt(133))\/sqrt(7) - sqrt(19))*3 - (sqrt(2736) + (-1 + sqrt(2736) + -2 + sqrt(2736) - sqrt(2736))**2).\nAnswer: -2745 + 69*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 222, 894, 2014, 3582, 5598, 8062?\nAnswer: 10974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -114, -3, -9, 36?\nAnswer: -114","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j + 14. Let c be i(12). Solve 3 + 5*w - 4*w + w**c - 6 + 1 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*v**4 + 1822*v**2 - 1667*v + 4 wrt v?\nAnswer: 72*v**2 + 3644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -326 + 323. Put -0.1, z, 0.4, -18 in descending order.\nAnswer: 0.4, -0.1, z, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + 6*l + 1. Let j be z(-6). Let s be (-91)\/78 + j\/2. Put 1\/3, s, 0.1, 0 in decreasing order.\nAnswer: 1\/3, 0.1, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - -70b5a2?\nAnswer: 70b5a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(1296)*-2 + sqrt(1296))\/(-1*(sqrt(128)*-2 + sqrt(128))).\nAnswer: 117*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27229 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 5*j + 16, -3*x = -2*x - 3*j. Suppose 2*k - 7*k = -5*h - 50, 5*k - 32 = -h. Let b = x - k. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8936278 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8276 is divided by 550.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lewhjeeeejjjlh. Give prob of sequence eel.\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 161766 - 88349. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 3*u + 187, 4*g + 6*u = 3*u + 155. Calculate the remainder when g is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 1 + 2)*((2*f**2 + f**2 - 2*f**2)*(0*f - f + 0*f) - f**3 + 0*f**3 - f**3 + 46*f + 64*f**3 - 46*f).\nAnswer: 549*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -40*j + 36*j - 4*n, 3*n + 14 = 4*j. Solve -37*l + 36*l - j*p = 8, -l + 4*p + 16 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 9*o**2 - 7*o**2 + o**2. Let s(d) = -13*d**2 - 9*d - 9. Let i(t) = -3*t**2 - 2*t - 2. Let r(k) = 9*i(k) - 2*s(k). Calculate n(r(z)).\nAnswer: 3*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 3*p**2 - 2*p. Let q be b(-2). Let c = -13 + q. Let o be ((-10)\/(-90))\/(1\/c). Do -0.2 and o have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-324)\/(-45) - (-28)\/70)\/(-2)\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tktk. Give prob of sequence ktt.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 s when three letters picked without replacement from {w: 1, d: 2, a: 2, n: 1, f: 2, s: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1062675893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2*d - d - 12 = 0, 2*d - 15 = i. Let g be (-54)\/4*12\/i. Let p be 6\/3 + 15 + (-3 - -4). Calculate the highest common factor of p and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2140.73478 rounded to one dp?\nAnswer: 2140.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 2*k = 16151, -2*k + 1673 = -5*s + 10652. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1248 = -15*m + 1323. Which is the third biggest value? (a) m (b) 0.4 (c) -81\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 55 = 2*d - j, -3*j + 14 = d. Which is greater: 24 or d?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6.6 + -30.6. Let v = o - -23.6. Suppose 2*r = 5*r - 9. Put r, 5, v in decreasing order.\nAnswer: 5, r, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21296 is divided by 27.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1960820948?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -132400 - -442?\nAnswer: -131403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11234 = 885*m + 3244 + 11187 for m.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2412)\/1005)\/((-52)\/325)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-6 + (192\/20 - 4)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-194)\/679)\/(2\/(-14)*(-87)\/(-667)).\nAnswer: 46\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -15050.65 - 0.06?\nAnswer: -15050.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - t - 1. Let a(j) = -39*j**2 + 4*j + 3. Let n(z) = -a(z) - 3*f(z). What is the remainder when n(1) is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -8345511633.206?\nAnswer: -8345511630.206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -112 - 49192.\nAnswer: -49304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.2 (b) 5 (c) 2\/13 (d) 12471 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 7*u. Let o = 15 + -12. Suppose 0*n + 3 = n + x, 0 = -5*n - 2*x + o. Give j(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/25 of a kilometer in meters?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 186211 from -76940.\nAnswer: -263151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**15)**(-7\/12))**(-44) assuming r is positive.\nAnswer: r**385","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -16*c**2. Let v(q) be the second derivative of -q**4\/4 + 26*q. What is v(t(w))?\nAnswer: -768*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100001101110110110001001111111 - -1?\nAnswer: 100001101110110110001010000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 326125 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7759d5 + -126?\nAnswer: 7758ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 1808*g - 375888. Calculate i(208).\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 17*q - 101. Let l be d(6). Let u(w) = 3257*w + 6. Is u(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 39\/35, -1, -0.4, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 2, -863 in increasing order.\nAnswer: -863, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -0.00808 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5929.010555 - 5929. What is g rounded to three dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-4) - (-1967)\/562?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5929*m**4 + 6154456*m**3 - 49014813*m**2 + 1269998*m - 8240 = 0. What is m?\nAnswer: 1\/77, 8, 1030","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 301659?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1368 is divided by 200762\/296 + (-3)\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 809 and 810 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 4*i - 8. Determine a(-9).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.16 * 0.2\nAnswer: -0.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-3\/4)\/p)\/p)\/((p*p**6)\/p))\/((p\/((p\/p**5)\/p)*p)\/(p**(2\/17)*p))*(p**(2\/9)*p\/p**8)\/(p**(8\/7)*p*p**(-3\/11)) assuming p is positive.\nAnswer: p**(-1097059\/47124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 7:39 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*a + 7*a + 7620. Let v = a + 958. What are the prime factors of v?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j = 13 - 37 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 449395, 898787, 1348179?\n\"Answer: 449392*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 4442?\nAnswer: 53304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 12:58 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 11) to base 12\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 42 + -57. Let w(o) = o**3 - 5*o**2 - 2*o. Let t be w(-3). Let z be y*(0 + t\/5). What is the greatest common factor of z and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5 - 126*s**2 + 688*s**2 + 69*s + 42*s wrt s.\nAnswer: 1124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - 4*t - 2. Let j be i(-3). Let o(k) = 2*k - 2. Let l(y) be the first derivative of y + 18. What is j*o(p) + 3*l(p)?\nAnswer: 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 0.08 (b) -4 (c) 5 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1186113?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 323 + -181. Suppose 7*c = 3*c + 4*t + 160, -5*t + q = 4*c. Let z = -33 + c. Solve 5*a = z*k - 40, -2*k - 4 = -a - 4*k for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3 - 88*o**2 - 11402*o - 11312.\nAnswer: 2*(o - 101)*(o + 1)*(o + 56)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 5*o**2 - o + 84. Let a(i) = i**2 + 17. Let u(h) = 11*a(h) - 2*w(h). What is the tens digit of u(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 14) in base 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 2 = -s. Suppose -5*i + l = -67, 3*i - 2*i + s = 5*l. Is 14 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 227\/3, -0.5, 37, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 0.4 (c) 39\/58 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 3*b - 19 = 0, 3*p - 4*b + 0*b + 6 = 0. What is the second derivative of 0*w**2 + p*w**2 - w + 0*w**2 wrt w?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (4 - 2 - 6) - (253 - 250).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wm when two letters picked without replacement from {g: 5, e: 2, x: 1, k: 7, w: 1, m: 1}.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 725269.5 months?\nAnswer: 60.439125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 72076114*m**2 - 72079949*m**2 + 2*m - 2*m. Let f(d) = -5*d**2. Determine h(f(z)).\nAnswer: -95875*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -27354.\nAnswer: 2\/13677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + m - 2. Let p be l(-3). Suppose 0 - p = -r. What are the prime factors of r?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/(s\/(s**(-13)\/s))*s**(-1\/7)*s*s)\/(s*s\/(s\/((s\/(s**(-2)*s))\/s))*s\/(s*s**(-9)*s)))**(-14) assuming s is positive.\nAnswer: s**296","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 190*y + 7*y**3 + 1026*y + 161*y - 1542*y + 165*y.\nAnswer: 7*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-16))\/(98 + -96)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2620, 1796, 958, 100, -784, -1700, -2654, -3652?\n\"Answer: -m**3 - m**2 - 814*m + 3436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 75 and 11.\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*h - 388 - 404 = 0. Calculate the highest common divisor of h and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-12)\/(-15))*4\/75.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/((-9)\/6) - -3. Let s(w) = 77*w - 74. Let r be s(1). Suppose -2*f - q + 214 = 3*q, -206 = -2*f - 2*q. Sort r, f, a in ascending order.\nAnswer: r, a, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 5*s = -3*a + 1, 0 = 4*s - 4. Let k(h) be the second derivative of -h**2 - 5\/6*h**3 - 5*h + a. Find the first derivative of k(x) wrt x.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 231 and 13543761.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2 = -2*l. Suppose 2*k - 42 = -3*t - 0*k, -t + 3 = -3*k. What is the least common multiple of t and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 417, 1945, 4491, 8055, 12637?\nAnswer: 18237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 176748584?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -5*q**2 + 6*q - 2*q**2 + q**3 - 156 + 151. Determine v(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 528936307 to the nearest integer?\nAnswer: 809","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 28*t**2 + 27*t + 9. Let o be x(27). Suppose 177*d**3 + 23 + 13*d + 627*d**4 + 71*d + 30*d + 1 - 558*d**4 + 207*d**2 + o*d**5 = 0. What is d?\nAnswer: -4, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-91)\/(-182))\/(74\/(-4)). Suppose 5*n + 0*n = 0. Let p be (-14)\/6 + (n - -3). Which is the second smallest value? (a) p (b) m (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 74 + 0\/(-6 + 3). List the prime factors of (0 + q\/3)\/(1\/3).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 + 6*l + 19 - 5)*(0 + 2 - 1).\nAnswer: 6*l - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 8704, 17424, 26144, 34864, 43584, 52304?\n\"Answer: 8720*c - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -60*n**4 + 1735629*n**3 + 9765*n**2 - 25017*n?\nAnswer: -1440*n + 10413774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -717, -991, -389, 1527, 5195?\nAnswer: 11053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*h**2 + h**3 + h**3 - 5*h**3 to the form j*h + w*h**2 + s + z*h**3 and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 8*f**2 + f + 5. Let w be h(8). Suppose -5 = -l - 0. Let t = -4 + 8. Solve 4*v = v - 3, -t*s + l*v = -w for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -928*g - 416835 = 8335*g for g.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15092 by -7.\nAnswer: 2156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 903778018?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (1 + sqrt(33)\/sqrt(3))**2.\nAnswer: 2*sqrt(11) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 3428, -2, 93?\nAnswer: 3428","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.06 and -763354.6.\nAnswer: 45801.276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 82411 = -7*y, 5*c - 2745 = -y + 9059. What are the prime factors of y?\nAnswer: 3, 3923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5b97 (base 13) in base 4?\nAnswer: -3022220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*(-4)\/16*-1)\/((-1)\/(-6))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(2) + 1 + -2 - sqrt(4)\/sqrt(2)*-4).\nAnswer: -25*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 98*l**2 + 197*l + 483. Let w be q(-96). Factor -16\/15 + 4\/15*r**2 + 2\/15*r**w - 8\/15*r.\nAnswer: 2*(r - 2)*(r + 2)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 314918574?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/8 of a millisecond?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*i**3 + 6*i*y - 156*y - 2 wrt i?\nAnswer: -6*i**2 + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/7 and -103\/118.\nAnswer: 826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4 + 3)*(-7*q**2 + 4*q**2 + 2*q**2)*(5*q + 2*q - 5*q)*(1 - 1 + 2*q).\nAnswer: 16*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -8. What is the second smallest value in q, 0.2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 44 + -38. Suppose 3*c - 2*p - 2 = 7, 2*c - 4*p - h = 0. Suppose 60 = 4*x + c*g, 2*x - 6*x + 92 = -5*g. What is the greatest common divisor of 27 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 12:37 AM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*g + 17*w - 14*w, 0 = -w. Let h = -77.2 - -77. What is the second smallest value in 0.4, 13, h, g?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -6. Let q be z*(16\/12 - 0). Find the third derivative of 3*x**3 + 4*x**3 + 8*x**2 - q*x**6 - 7*x**3 wrt x.\nAnswer: -960*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t. Let j be i(-1). Let r(g) = -j + 1 - g + 3*g. Let w(a) = 3*a. Calculate w(r(o)).\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5974\/2 - 9\/((-45)\/(-40))?\nAnswer: 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 6:51 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - ((-492)\/(-656))\/((-85)\/(-1580)).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6970 is divided by 5427?\nAnswer: 1543","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14 - 2 - y - 14*y wrt y.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of m**3\/6 - 3*m. Let q(d) = d. Calculate q(h(k)).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 1)*(-2 + 2 + 2*m).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-1))**(-3\/17)*(n**0\/n)**(-8\/9) assuming n is positive.\nAnswer: n**(8\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -779944, -5, 7 in decreasing order.\nAnswer: 7, -5, -779944","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**5 - 32*t**4 + 253*t**3 + 94*t**2 - 704*t - 512 = 0 for t.\nAnswer: -1, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 0. Let l = 1 + v. Is 7 a factor of 10*(-3)\/l*-4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10082, 20150, 30218, 40286, 50354?\nAnswer: 60422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -19\/3 (c) -8\/51 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t + 6. Let s be k(5). Let h be s\/6 - (-560)\/804. Let b = h - 152\/603. What is the closest to 1 in 2\/5, 5, b?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k + 1. Let v(q) = -3*q - 1. Let o(c) = v(c) - 6*y(c). Let x be o(6). Suppose -2*l = 5 - x. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -30640 - -55?\nAnswer: -30563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - m - 4 = -2*g, -2*g + 3*m = -4. Suppose 4*q = -10 - 6. Let a = q - -8. What is the remainder when a is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 533.5268 decades to years.\nAnswer: 5335.268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y - 1. Suppose -15 = -0*j - 5*j. Let m = -1 + 4. Let r be (-13)\/m + (-2)\/j. Give l(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -419 divided by 1\nAnswer: -419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) 0.12 (c) 0.2 (d) 2\/5 (e) -35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1441403 (base 6) in base 4?\nAnswer: -110111223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 72\/(-7260)*-11*90.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3023964 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 8949*z - 8952*z + 3 = 2*m + 39, 3*z + 19 = -m + 1 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*p + 7 = -23*p - f, 2*f + 18 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-6*(sqrt(245)*-2)**2 + sqrt(245)) - (5 + sqrt(20)\/(sqrt(20)\/sqrt(5)*-6))**2.\nAnswer: -424265\/36 + 47*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a century in months?\nAnswer: 6480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 115a + c?\nAnswer: 1168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 + 646*s - 314*s - 324*s)*(-1 + 1 - 2) in the form t*s + q and give q.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, m: 1, r: 1, y: 1, o: 1, v: 2}. What is prob of sequence fvym?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -173, -262, -353, -446?\nAnswer: -541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1269 and 235.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -4*g**2. Suppose 0 = 4*x + v - 5, -4 = -5*x + 2*v - 14. Let u(b) be the first derivative of x*b**2 - 4\/3*b**3 + 1 + 0*b. Give z(u(t)).\nAnswer: -64*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 355410211 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3840165.997 + -3840066.99700087. Let g = 99 - t. What is g rounded to 7 decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3557, 12931, 28561, 50453, 78613, 113047?\n\"Answer: a**3 + 3122*a**2 + a + 433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 436835 divided by 1783.\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 534*w - 8622 + 8622.\nAnswer: 534*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y - 10*y + 3 + 1 + 10*y. Let b be k(8). Solve -f = 3*f + b for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 2*b + 10 = -3*b, 2*b = h - 2. Solve -4*d - 21 = -3*y + 6, -3*d - h*y = -1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 128\/(-12)*(-3)\/(-24)*18. What is the smallest common multiple of 18 and (m\/(-5))\/((-6)\/(-15))?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 11:35 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20345 + 101?\nAnswer: -20244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5013144 (base 6) in base 13?\nAnswer: -83131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 greater than or equal to -140\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5488160681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*b - 4*b**2 - 5*b + 15*b**2 wrt b.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 7*d. Let m(u) = -24577647*u**2. Give m(v(s)).\nAnswer: -1204304703*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1136753?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2131 - -14915\/7. Let m = 1 + -1. What is the closest to 2\/11 in m, 1, y?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00876176631 to five decimal places.\nAnswer: -0.00876","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**2 + y. Let a be -11 + (-140)\/14 + 19. Let b(t) = 10*t**2 + 5*t + 1. Determine a*b(v) + 11*x(v).\nAnswer: 2*v**2 + v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6112*d*m*w**3 + 130*d*m + d*w + 279*m*w**3 + 1419*m*w**2 wrt w?\nAnswer: -36672*d*m + 1674*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 + 3*s - 4. Let k be m(-4). Suppose k = -h + 5 + 5. Suppose -30 = -3*b - 3*l, 3*l - h = -b - 0*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14974110744 take away -61?\nAnswer: 14974110805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37083601?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 5 + 10. Let a(p) = p**3 - p**2 - 2*p - 1. Calculate a(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 4:29 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(12)\/(sqrt(12)\/sqrt(192)) - (-2 + -2 + sqrt(15)\/sqrt(5)))*2.\nAnswer: 10 + 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u**3 - 8*u**2 - 11*u + 14*u - 3*u as d*u + i*u**2 + h*u**3 + b and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/sqrt(5)*5 + (sqrt(12) - (sqrt(60) - (sqrt(60) + 3*sqrt(60)))\/sqrt(5)))\/((sqrt(48) - sqrt(6912))\/sqrt(8)*3).\nAnswer: -3*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/12)*v)\/(v\/(v**(3\/5)*v*v*v))*v**(1\/4)\/v*v**6)**(-23) assuming v is positive.\nAnswer: v**(-6049\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-2))\/n*n**(-6\/11)\/n*(n*n**(-1)\/n)**(-21\/8))**(-14) assuming n is positive.\nAnswer: n**(-1897\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 779858?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, b: 1, a: 1, i: 2, m: 1}. Give prob of picking 1 a and 2 i.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8076658?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of -m**6\/120 + m**5\/10 + 3*m**4\/8 - 7*m**3\/6 - 5*m**2. Calculate the remainder when y(7) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - -4845.444.\nAnswer: 4849.444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/14 and 43\/216?\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 13206\/(-8) - (-39)\/52. What are the prime factors of (0 + 1)\/(3*(-1)\/q)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1862 and 29155?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 4508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, e: 11}. What is prob of sequence eeqq?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1940b (base 13) to base 16\nAnswer: bf7d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + x + 2. Let k(l) = l**3 - 5*l**2 + 2*l. Let a be k(4). Let u be 4\/a*(0 + 0). Let n be p(u). Solve t + w = -3, 0 = -n*t + 4*w + 11 + 1 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from mmmmmmxmmmxx?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**2 - 3*k**2 - k**2 + (25 - 5*k - 25)*(-18*k + 17*k + 48*k) + 2*k**2 + 5*k**2 - 5*k**2 in the form o*k + l + v*k**2 and give v.\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -11*y + 45. Let u be m(-16). Let s = 328 - u. Is s a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6645583074 to 2 dps.\nAnswer: 0.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25307 is divided by 25307.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.1162617 rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 434370994 to the power of 1\/2, to the nearest integer?\nAnswer: 20842","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1649, -174, 1, 4, -4, 5 in increasing order.\nAnswer: -174, -4, 1, 4, 5, 1649","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 392456 and 512?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 + (66 - (59 - 29)).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 16*h**3 + 4*h**2 + 30*h + 16. Let g(c) = -4*c**3 - c**2 - 7*c - 4. Let f(m) = 9*g(m) + 2*w(m). Let v(n) = n + 1. Calculate f(t) + 3*v(t).\nAnswer: -4*t**3 - t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 948971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32439*q**6 + 4*q**4 + 2*q**2 - 18935*q + 7?\nAnswer: -3892680*q**3 + 96*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.09 - 0.05. Is -2\/15 greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -6*o**3 - 3*o**2 - 34*o + 2. Let p(g) = -6*g**3 - 3*g**2 - 33*g + 2. Let q(f) = -3*j(f) + 4*p(f). What is the units digit of q(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hgggmmpg. What is prob of sequence hm?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 2*r**3 + r + 2*r**2 - 3*r**3 + 16*r**3 + 1 in the form c*r**3 + a + s*r**2 + y*r and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-24)\/18)\/((-35)\/(-70)))\/(18\/378).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2309030 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4, 5, 153.5, -0.4, 133?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-4 + -1 + sqrt(72) + -1 - (sqrt(72) + 1 + 2 + 0)))**2.\nAnswer: 2025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = -0*z + v + 1, 14 = -4*z + v for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 108602241 and 429?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3 + -4*(2 + 4 + 2*sqrt(396)*-5)*-1).\nAnswer: -135 + 1200*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s\/(s\/(s\/s**(-2\/13)))))\/((s**(-8)\/s)\/s*s))\/(s\/(s**(-1\/2)\/s*s))**(-43))\/(s*s*(s*(s*s**0*s)\/s)\/s*s**3*(s**(-1\/4)*s*s)**11) assuming s is positive.\nAnswer: s**(2501\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of 7*m**6\/120 + 4*m**5\/15 - 17*m**4\/24 - m**3 + 23*m**2\/2 + 26*m. Let d(b) be the first derivative of x(b). Factor d(w).\nAnswer: (w - 1)*(w + 3)*(7*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9.051 - 9.009572. What is b rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 12) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 5*z - 2, 3*z - 18 = -2*d - 3*d. Let n be 3\/(3\/233) + z. Calculate the highest common factor of n and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from ooooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/61 - -65\/122. Let w = -2 - -2. Which is the nearest to r? (a) w (b) -5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -61.42 + 61.48. Which is the second smallest value? (a) 9 (b) i (c) -9 (d) 0 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -152.094919 and 8.\nAnswer: -144.094919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/5 (b) 3 (c) -369\/2 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -69 + (2 - -37).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 24 + 1012?\nAnswer: 1040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35 + 2*k - 30 + 15)*(3*k**2 - 3*k**2 + 2*k**2).\nAnswer: 4*k**3 + 40*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3119487 and 2352.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-70 + 70 + 24*w)*(-5 + 3 + 1) + 5*w - 4*w + 4*w.\nAnswer: -19*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2937005862 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 2*s - 1, 4*s + 130 = 146. Let o(c) = -c - 5. Let m be o(-6). Solve 3*f - 8 = -3*j + m, 4*f = -3*j + v for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -13824165249436 and 0.2.\nAnswer: -13824165249435.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/4 - -247 - 4. Suppose 3*p - 3*w + 222 - 960 = 0, 4*w + h = p. List the prime factors of p.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11401 - -13489. Calculate the highest common factor of 504 and i.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 - 1 - 3 - 12*w + w)*(9*w + 8*w + 33*w).\nAnswer: -550*w**2 + 950*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eighteen fifths of a decade?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a - 6. Let f(q) = 8*q + 8. Let t(i) = -18*i - 17. Let k(v) = 7*f(v) + 3*t(v). What is 3*g(o) + 4*k(o)?\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*y**2 - 12*y**2 - y**2 - 3*y**2 to o*y**2 + g + d*y and give o.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 5*v = -4*n + 15, -5*n + 4*v + 12 = 0. Suppose 0 = -4*o - n*o. Solve -h - 2*s = 5, 5*s + 12 = -3*h - o*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence up when two letters picked without replacement from ukciccp.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 979 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9213*l = 4636*l + 4627*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5176846 by 2588423.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -2, -1, 12, -5 in increasing order.\nAnswer: -10, -5, -2, -1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -11.4 + -105580304.8\nAnswer: -105580316.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of b**3\/3 + 5*b**2\/2 - 6*b - 558. Calculate l(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m + m + m. Let f(p) be the first derivative of -p**4\/6 - 9*p - 5. Let u(c) be the first derivative of f(c). Determine u(q(a)).\nAnswer: -50*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4169*i**2 + 5 + 4172*i**2 + 8.\nAnswer: 3*i**2 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddgddgddggddddddgdd. Give prob of picking 2 g.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -33430153 or -33430155?\nAnswer: -33430153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -40*q + 312. Does 7 divide c(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 5*y - 0*w + 125, -27 = y + 3*w. Let v be y\/8 - (-2 + 2). Is -1 + 0 + (v - -473) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 15 = -7*w, 5*w - 231 = 4*l. Is 30 a factor of (-2 - (l - -2)) + 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7400, 7009, 6364, 5471, 4336, 2965, 1364, -461?\n\"Answer: t**3 - 133*t**2 + t + 7531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-2)*72\/(-126).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2, 107, -1.06?\nAnswer: -1.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/(sqrt(5) - sqrt(5)*2))**2*3 + -4 + -1*sqrt(7) + (-5 + sqrt(7) + 1)**2.\nAnswer: -9*sqrt(7) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (45\/(-380))\/((-3)\/(-2)). Let d = -1098 + 1099. Which is greater: f or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 269, 1037, 2313, 4097?\n\"Answer: 254*v**2 + 6*v + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*i**5 + 453573*i**4 + 19671438*i**3 + 24671628*i**2 + 5453784*i = 0 for i.\nAnswer: -42, -1, -2\/7, 0, 21642","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of -200*s**3 + 0 + 10*s**4 - 1\/5*s**5 + 2000*s**2 - 36*s. Let c(k) = 0. Calculate k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4*r + 78 = 0, -f = 4*r - r - 26. Let q be (-4)\/f + 67\/13. Solve g - q*g + 4 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 590585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 5*c = -144, 35 = 4*n - c - 157. Let a = n + -43. Calculate the remainder when 39 is divided by 4\/(a\/10 + 0).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from asadsdsa. What is prob of sequence dass?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + 1 + -5 - (6 - (9 + -6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/9 at most -1\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.1, 5, 4, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -39.93 + 40. Let f = 6308 + -6307.6. What is the closest to -0.1 in -2, y, f, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1 + 11\/6*h + 2\/3*h**2 - 1\/6*h**3.\nAnswer: -(h - 6)*(h + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01137464 to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/8 - 11\/4. Suppose -13*s + 11*s - 6 = 0. Is s > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (19 - (-585)\/(-30))*2. Suppose 6*n - 3*q + 1 = n, -3*n - 21 = 5*q. Let k = 0 + n. Which is the second smallest value? (a) 5 (b) t (c) -4 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 4*n + 3. Calculate o(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 101566, 101645, 101754, 101893, 102062, 102261?\nAnswer: 102490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + 5*j**2 - 6*j + 4. Let l be h(4). Suppose -3*k = 1 + 5. Sort k, -1, l in ascending order.\nAnswer: l, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 524 = -4*p, 28*l + 2*p - 1988 = 20*l. Calculate the greatest common divisor of l and 1550.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 6 (b) 0.1 (c) -64\/5 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/19 and -41\/45.\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 10:38 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4330411 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 203 - ((-20)\/6 + 24\/(-36)). Suppose -8*b + s = 15*b. Solve 0 = 3*i - b, 0*d + 2*i = 3*d - 9 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25315*j**2 + 19*j**3 - 51248*j**2 + 25933*j**2.\nAnswer: 19*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 79 = -5*m, -3*m + 18 = r - 2*r. Let k = -7940 + 7939. Sort k, -4, 1, r in increasing order.\nAnswer: r, -4, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**(2\/15)\/a))\/(a*(a**21\/a)\/a)*a**(2\/39)\/(a\/(a*a**(-3\/13))))**(-17) assuming a is positive.\nAnswer: a**(60707\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 18*d**2 + 38*d - 488. What is t(15)?\nAnswer: -593","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-840*p**2 + 407*p**2 + 435*p**2 + 561*p + (4*p**2 + 3*p**2 - 6*p**2)*(1 + 0 + 1))*(-3*p + 6*p - 7*p) in the form n*p + c + k*p**3 + f*p**2 and give f.\nAnswer: -2244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 14694.15 minutes in milliseconds?\nAnswer: 881649000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -87531 - -230860. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*g**3\/7 + 23754*g**2\/7 - 7258680*g\/7 + 121147650\/7 = 0.\nAnswer: 177\/10, 585","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 51260453 and 85684.\nAnswer: 205041812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1617476?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 14*n. Let b(z) = -73*z**2 + 248*z**2 - 75*z**2 - 84*z**2. Give b(y(h)).\nAnswer: 3136*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4*y - 1 = -0*y, -5*m - y = -17. Suppose 4*a + m = -1. What is the closest to a in -0.4, -5, -2\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/4*0\/1. Suppose d = 4*v - 12, -2*v + 0*d - 3*d = -6. Suppose u*p - 6 = -v*p. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = r. Solve r = 2*f - 6 - 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/8 - (-232)\/64. Suppose -p*f = a + 20, -8 = -a - f + 4*f. What is the second biggest value in a, -2\/5, 16?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 15*w**2. Let i be j(15). Suppose i = -4*s + 990 + 62. What are the prime factors of s?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-5))\/(1*(-6)\/(-20))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(550)\/sqrt(160))\/(sqrt(5) + sqrt(125) + sqrt(125)*4 + sqrt(125)).\nAnswer: sqrt(11)\/124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 + -0.0219.\nAnswer: -1.0219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 16ee5c (base 15) in base 6?\nAnswer: 35511340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 1519?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/3*x**2 + 0 + 0*x + 2\/3*x**4 - 2\/3*x**3.\nAnswer: 2*x**2*(x - 2)*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + -45 + (9 + 2 - (36 + -21 - -3)).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 11*w**2 + 27*w + 14. Let m(h) = 5*h**2 + 13*h + 7. Let x(b) = 6*g(b) - 13*m(b). Let j be x(-7). What is the greatest common divisor of j and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38.6 + -38.4956. Round m to two dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.23 + -0.23. Let a be (3\/(-198)*2)\/(2\/(-4)). Let z be (-3)\/2*(30 - 28). What is the closest to o in a, -4, z?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 PM and 7:33 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138368 is divided by 6769?\nAnswer: 2988","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 1258*o - 1257*o + 5, 3*o + 11 = 5*w for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, g: 1, n: 2, l: 4, v: 4, f: 2}. What is prob of sequence vnc?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 576173 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 71 = 152. Let w(o) = -o**3 + 28*o**2 - 14*o - 15. Let r be w(l). Is r + -1 - -1 - 3\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57936.47 days to minutes.\nAnswer: 83428516.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 + 8*f + 13. Let o be 6*(1 - 3\/(-6)). Let h be g(o). Suppose -h*z + 66 = 18. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 172\/5 - 34. Let x = 0 + -5. Let p be 12\/x + 3 + -1. Is p not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 445 - 435. Let u be 3 - (-15 + (5 - 7)). Solve -4*q + g = -u, 4*g = -2*q - 0*g + o for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12745562 is divided by 1013?\nAnswer: 1009","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**14*(w\/(w\/(w*w\/(w**(5\/2)\/w)*w)))\/w)**(-19))**(-43))**7 assuming w is positive.\nAnswer: w**(165851\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -66 + 31 + 23.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-270)\/(-297)*268\/335\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.910308ns to hours.\nAnswer: 0.00000000000191953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 + 385\/5 + -1 + 5 + -5 and 380?\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 u when two letters picked without replacement from {x: 4, v: 7, u: 5}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 - 6 + 2 - 3)*(11 - 11 + 6*w)*(21526*w - 21526*w - 243*w**3) in the form k*w**4 + y*w**3 + d + r*w + m*w**2 and give k.\nAnswer: 5832","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 5, -0.35, 4, -1?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16218820 to the nearest integer?\nAnswer: 4027","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5188377 to the power of 1\/2, to the nearest integer?\nAnswer: 2278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -57820 divided by -1\nAnswer: 57820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.937106 litres to millilitres.\nAnswer: 937.106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -5*a - 4. Calculate the smallest common multiple of i(-4) and 18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6388511?\nAnswer: 31, 206081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -2*x + 34, 52*y - 48*y + 41 = 3*x. What is the highest common factor of 9195 and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -14, -4, -24, 6, -511 in descending order.\nAnswer: 6, -1, -4, -14, -24, -511","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4946349*q*z + 20048763*z wrt q.\nAnswer: -4946349*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of 153\/4*w**4 - 92 - 1\/2*w**2 + 0*w + 8\/3*w**3. What is the third derivative of j(p) wrt p?\nAnswer: 918","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v**3 + 5*v**3 - v**2 - 4*v**3 + (-13019*v + 26095*v - 2 - v**2 - 12569*v)*(-2*v + 4*v - v).\nAnswer: -3*v**3 + 506*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 4 = 26. Does 6 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 54604174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -34, -1, -12, -5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2490 and 80.\nAnswer: 19920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 8*j - 23388. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3317*o**3 - 32922*o**2 + 32922*o**2.\nAnswer: 3317*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12\/7 in 3, -4, 5, -0.4, 2260?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3 + 5450*m**2 + 616806*m + 4051278.\nAnswer: 2*(m + 7)*(m + 111)*(m + 2607)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54176, 108351, 162526?\nAnswer: 216701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of 0*j**3 + 12*j + 0*j**2 + 1\/3*j**4 + 1\/10*j**6 + 0*j**5 + 0. Find the third derivative of h(r) wrt r.\nAnswer: 72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 22 + 1\/(2 - 3). Solve -5*k = v + i, -6*k - 5 = -3*v - 4*k for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-1))**(-12))**(-9\/4) assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 - 33*n**2 - 130*n + 48. What is the hundreds digit of c(-31)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/338500 and 37\/372350.\nAnswer: 3723500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 57935087 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 916?\nAnswer: -911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4 + 7*s**3 + 30*s**2 + 4*s - 40.\nAnswer: -(s - 10)*(s - 1)*(s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3887023674 less than -0.2?\nAnswer: -3887023674.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4675882, 4675878, 4675874, 4675870?\n\"Answer: -4*m + 4675886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*t - 8. Suppose -2*g - 280 = -t*g. What are the prime factors of g?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -239\/7 - -34. Let m be -1 - 1\/(-2)*696\/356. Let r = 148\/1335 - m. Which is the closest to 0? (a) 2\/9 (b) r (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 18, -5, 32, -4, -0.1.\nAnswer: -11, -5, -4, -0.1, 18, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of d*u**2 - 16*d*u + 400818*d + 716228656*u**2 wrt d.\nAnswer: u**2 - 16*u + 400818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 171 + -97. Suppose 0*k + 5*k + i = -4*u, -2*k = -u - 12. Find the common denominator of 145\/6 and ((-1)\/(-6))\/(u\/396).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 4. Let n be (r\/2)\/((-3)\/12). Is 20 a factor of 1\/n*(-115 + -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 62*s**2 + 4*s - 5. Is z(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z + 1. Let b(c) = c - 1. Suppose -2*u + 4*l = 3*u - 57, 0 = 2*u - 2*l - 24. Suppose -u = -2*s - 23. Let q = -2 - s. Determine q*b(o) + 3*w(o).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -3 + 5. List the prime factors of (-5 - 7)*1*v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28\/((-40)\/72*4*(-34)\/(1190\/(-21)))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uftpgtvfu. Give prob of picking 1 u and 1 g.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 11, i: 1, l: 2, q: 1}. What is prob of picking 2 l, 1 r, and 1 i?\nAnswer: 11\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q**2 + q**2 + 38*q**3 - 41*q**3 - 103*q**3.\nAnswer: -106*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p + 374 = -22*p. Let q = p + 34. Which is the nearest to 5\/11? (a) -2\/3 (b) 0.5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1147?\nAnswer: 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 456, -11, 5 in descending order.\nAnswer: 456, 5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 26630285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5360.\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-39) + 990\/858?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*4*sqrt(700)\/sqrt(4)*3)**2.\nAnswer: 403200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.68378607 rounded to two dps?\nAnswer: -17.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6528 and 763674?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 53974051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffffffffff. What is prob of sequence fff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of y**5\/10 + 3*y**2. Let g(w) = -3*w. Calculate g(v(s)).\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 1) + 108 + -38190 + 38151?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58, 98, 138, 178, 218, 258?\nAnswer: 298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a - 290407 = -27*a - 289875 for a.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 3 + 1 + 0 + 2*r to t + y*r and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13320?\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, -1\/6, 5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -831, -1321, -1811, -2301, -2791?\nAnswer: -3281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3458702, 3458681, 3458658, 3458633, 3458606, 3458577, 3458546?\nAnswer: 3458513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 + 10*n - 10. Calculate x(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2626*d**2 - 17*d + 54438?\nAnswer: 5252*d - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 7, d: 3}. Give prob of picking 3 d and 1 w.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - j = 4*f - 13, f = 3*j + 9. What is the third derivative of -4*l**f + 2*l**3 - 2*l**2 + l**2 wrt l?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(-15))\/(z**(-3)*z))\/((z*z\/(z*z*z\/z**(2\/17)*z))\/(z\/((z**2\/z)\/z*z))))**(4\/19) assuming z is positive.\nAnswer: z**(-688\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -618 divided by -6.\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 41 - 36. Suppose -r*d + 396 + 44 = 0. Is 11 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19893 - -28292. What is the remainder when q is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 77608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/238 and -83\/3776856?\nAnswer: 26437992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -61, -2, 5 in descending order.\nAnswer: 5, -2, -3, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 - 156*v - 2718. Calculate h(-136).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1164983 is divided by 33.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 783578 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 4*n**2 + 1. Let l be q(1). Let z = -3 + l. Is z a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (68\/80 - (-1)\/(-4))*5. Let w(z) = 3*z**g + 4*z**3 - z**3 - 5 + z**2 + 0. Let q(y) = 3*y**3 + y**2 - 3. Let k = -33 + 30. Give k*w(f) + 5*q(f).\nAnswer: -3*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -46, -221, -506, -895, -1382?\n\"Answer: o**3 - 61*o**2 + o + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x = 595 - 586 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/9 + 24461780*a\/9 - 74797335096050\/9.\nAnswer: -2*(a - 6115445)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*n - 250 = 234 + 2328. Calculate the highest common factor of 1258 and n.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 6*b. Suppose 3*s + 3 + b = 0. Let q be s*2\/(-2 + 0). Is q > 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(sqrt(24)\/sqrt(4)) - -1*sqrt(162))**2.\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 4*g - 4, 5*s + 507*g - 511*g - 4 = 0. Which is smaller: -75 or s?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 + 3*q. Let a be i(-3). Let u(t) = 2*t**2 - 6*t + 3. Let l be u(6). Let p be 72\/l + (-6)\/3. Is p less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 469761?\nAnswer: 3, 17, 61, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1146*r + 26285 = -519 - 15598 for r.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dk when two letters picked without replacement from {d: 2, k: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 151311 (base 7) to base 5.\nAnswer: 1414220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 2*v = -22, -2*v - 18 = -2*x + 6*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/594 and 131\/54.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14037463925*b + 14037463925*b - 3*b**2.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 24*m**2 + 338*m\/7 + 4\/7 = 0. What is m?\nAnswer: -2, -1\/84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 431 - 79*y - 1387*y**2 + 1386*y**2 - 461 in the form l*y + q*y**2 + s and give l.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 1:19 PM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1448322?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 109546702 to the power of 1\/3, to the nearest integer?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1160)\/(-45) - (1 - 33\/27). Suppose 3*x + x + u = 5*c, -3*x = c + 10. Let j(t) = -4*t - 6. Determine j(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - 69\/(-6)) + 2\/20.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of b**6\/360 - b**3\/2 + 2*b**2. Let d(k) be the first derivative of f(k). Let i(r) = 3 - 2*r**2 - 3. Determine d(i(s)).\nAnswer: 4*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 218 a factor of 218586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.34018972 rounded to four dps?\nAnswer: -6.3402","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.002769 or -2\/5?\nAnswer: -0.002769","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b - b + 3*b)*(-3 + 1 + 1) + (0 + 0 - 1)*(b - 15*b - 63*b) + 3*b + 0*b - b.\nAnswer: 81*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4930 is divided by 55?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 41*m**2. Suppose 2*p + v = 81, 3*v - 28 = -5*p + 4*p. Let u(l) = 86*l - p*l - 42*l. Determine u(g(d)).\nAnswer: 41*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5829344156?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.55 rounded to zero decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.7 + 0.3. Let p = -1 + 0.9. What is the closest to p in 2, -4, w?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -9*q**3 + 13*q**2. Let p(s) = 3*s**3 + 2*s**2 - 5*s**3 + s**2. Let w = 11 + 7. Suppose 3*d - w + 96 = 0. Calculate d*p(c) + 6*i(c).\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.475 rounded to 1 decimal place?\nAnswer: -17.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-6) + 6*(-4)\/(-36).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -0.3 (c) 0.058 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 4)*(-1 - 2 - 1)*(-3*d + 2 - 5 + 2*d) in the form z*d + b and give z.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 33*h**2 - 9*h + 3. Let l be (12\/9 - 3)*642\/535. Let p(s) = -8*s**2 + 2*s - 1. Calculate l*c(f) - 9*p(f).\nAnswer: 6*f**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3100)\/69750)\/((-22)\/10).\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 c when four letters picked without replacement from {w: 6, n: 3, c: 2, g: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2\/921 + 367\/27630. Let v(n) be the third derivative of 9*n**2 + 0 + 1\/126*n**8 + 1\/90*n**6 - 1\/45*n**7 + 0*n + t*n**5 + 0*n**4 + 0*n**3. Factor v(c).\nAnswer: 2*c**2*(c - 1)**2*(4*c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/24 and -9 + 4696\/276 - 8.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 7*t**3 - 13*t**2 + t + 3. Let r(b) = -15*b**3 + 28*b**2 - 3*b - 6. Let s(o) = 13*i(o) + 6*r(o). Give s(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 41, 29, -1, -55, -139?\n\"Answer: -r**3 - 3*r**2 + 4*r + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29151\/154475 - -2\/4175. Suppose -2*f = f. Is f smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -822 (b) -2\/109 (c) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 5, 3, -5.82, 0.5, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-238)\/51)\/(1\/(-15)). Let m = -72 + 2. Let b = d + m. Solve -2*x = 2 - b for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/(32\/(-4)))\/(1\/16). Suppose 4*d = -52 + h. Sort -4, 0, d.\nAnswer: d, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.8595 times -1.2?\nAnswer: 23.8314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -174*w**3 + 2*w**2 + 2331.\nAnswer: -1044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003948 rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = 2*d + 3*z - 55, 0 = 3*d - 2*z + 32. Let i(s) = -2*s**2 - 28*s + 16. Let b be i(-15). Let m = b - d. Solve -3*n + 6*n = m for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from feegfgggfmmmeemg. What is prob of sequence efme?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + i - 2*q - 8, -3*i - 3*q + 24 = 0. Suppose -425 = i*y - 9*y. Suppose -g - w = -17, -7*g + 2*g = -5*w - y. Does 13 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2430 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 597318 is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191*a + 6075 = -116*a. Suppose x - 25 = -2. Calculate the remainder when a is divided by x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 860082?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 5 - -8)*(-9 - -2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106 - -911.4338?\nAnswer: 1017.4338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + 306\/15 - (6\/(-10) - 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/2 greater than -1.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 10 = 7*v. Suppose -5*n = -4*n - 20. Let q be n\/8*6\/5. Solve v*g + g = -2*m - 3, -4*m - 9 = q*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in five quarters of a microgram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 - 0. Let v = -0.1 + 2.1. Let n(s) = -s**3 + s**2 + 26*s - 23. Let i be n(-5). Which is the nearest to t? (a) v (b) -1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/((-3)\/((60\/5)\/(-4)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + h - h)*(-1 + 3 + 0) + (-1 + 4 - 5)*(3*h + 2*h + 4*h).\nAnswer: -24*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3*b - 7. What are the prime factors of z(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000010294805 to six decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 212 and 20?\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, s: 3, z: 10, e: 3}. What is prob of sequence zzzs?\nAnswer: 15\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of i**4\/4 - 48*i. Let j(t) = 61 - 61 + 16*t**2. Give j(l(c)).\nAnswer: 144*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d**2 + 29*d - 92. Let v be o(5). Let s(w) be the first derivative of -9 + 0*w + 1\/3*w**v + 0*w**2. Let i(b) = -b**2. What is i(s(u))?\nAnswer: -u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 46 = -4*m + 51, -m + 54 = -3*p. Suppose 5*j - 57 = 2*o, o + j + 41 = 6*j. Which is greater: p or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 160693266 and 1146.\nAnswer: 1146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 11:10 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**4 + 184584008*w**3 + 2129453315999988*w**2 - 4258907185752016*w + 2129453685168016.\nAnswer: 4*(w - 1)**2*(w + 23073002)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.4 + 0.2. Let l = -85 + 19. Let y be 4 + (l\/(-9))\/(-2). What is the nearest to y in 5, 6\/11, g?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5\/199 - 15731\/398. Let b = -11221 - -22033\/2. Let j = 192 + b. What is the common denominator of j and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8231163*w**2 + 8231114*w**2 + 1 + 0.\nAnswer: -49*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a**2 + 5*a**2 + 2*a**2)*(2 - 33*a**2 + 1 + 18*a**2).\nAnswer: -30*a**4 + 6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*c = -23*c + 100 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -5*q + 5. Let w(d) = -1498*d - 3. Determine w(x(z)).\nAnswer: 7490*z - 7493","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 143 - 106. Calculate the remainder when 151 is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 443847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 8:37 PM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 96918.3 milliseconds in minutes?\nAnswer: 1.615305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5108?\nAnswer: 2, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*b**3\/2 - 24*b**2 - 11847*b\/2 - 23214 = 0. What is b?\nAnswer: -53, -4, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -136.2043 - -2.5343. Let t = z - -133. Round t to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (18\/(-4))\/((-84)\/8456)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0398334 to four decimal places.\nAnswer: -0.0398","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 168, 3, 2\/5 in increasing order.\nAnswer: 2\/5, 3, 168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -1392840 to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 - 2*g + 12. Calculate u(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - 3*r + 2*r + 0*r + 0*r + 1. Let q be j(0). Let p be 0\/q + 6 + -1. Solve 2*t + 4 = -3*b, -2*t - 6 + 2 = p*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 706, 2782, 6246, 11098, 17338, 24966, 33982?\n\"Answer: 694*s**2 - 6*s + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -4175?\nAnswer: -1\/835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24.318 + 0.418. Let h = 21.9 + f. What is the third smallest value in h, -1\/6, 0, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2739879 is divided by 152?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -6*j + 8*j. Suppose 29 = 3*c - 4*y - j, -3*c + 3*y = -33. Calculate the highest common divisor of c and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.8 + -6.8. Let n be (-2)\/28*216\/152. Let q = -7\/38 + n. Put q, i, 0.4 in descending order.\nAnswer: 0.4, q, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49, -154, -259, -364?\nAnswer: -469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f + 0*f + 1 - f**2 + (93*f - 65*f - 61*f)*(f - 3*f - 4*f).\nAnswer: 197*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 198142*a**2 - 34682*a wrt a.\nAnswer: 396284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9033, 9020, 9019, 9036, 9077, 9148?\nAnswer: 9255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 101 + 7559*q**2 - 7365 - 17094*q + 17094*q wrt q.\nAnswer: 15118*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -4*a**5 + 17460*a**4 + 139916*a**3 + 87660*a**2 - 874600*a = 0.\nAnswer: -5, 0, 2, 4373","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, l: 2, p: 6, i: 4, w: 2}. What is prob of sequence pii?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 1 = 7, 0 = h + 3*j + 11 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 14*m**2 + 14*m + 51. Suppose 0 = -2*h - 12 - 20. What are the prime factors of k(h)?\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -11 - (-1 - 5) - -8. Solve -3*n = -2*r - 7, 0 = -2*r - 3*n + p - 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h. Let t be x(0). Let m be (t - 5)*(-8)\/(-20). Calculate the common denominator of (-43)\/3 - (m - -1) and -49\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**2 + 9*t - 6. Calculate the remainder when z(-7) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/4*4 + 0. Suppose -3*y = -0*y + 9. Let q be -1 + (2 + 0)\/1. Put q, r, y in descending order.\nAnswer: r, q, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 129\/397 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 12 and 0.003.\nAnswer: 12.003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 5*u - 25 = 0, -6*r + 5*u + 18 = -4*r. Let w(n) = 4*n**2 + 25*n - 16. Let k be w(-7). Put 72, r, k in increasing order.\nAnswer: r, k, 72","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-2) + (-13)\/34. Let o = 1.4 + 3.6. Which is the closest to 1? (a) s (b) o (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r + 9*r**3 - 5*r + 4*r + 87*r**3.\nAnswer: 96*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 5. Suppose 0*m = -k*m. Let p = -169334\/137 + 1236. Is m at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-9)*(33\/6 - 1). Suppose 3*n = -k*o + 18, 1 + 1 = o - 3*n. What is the lowest common multiple of o and 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3\/4 (b) 1\/3 (c) 90 (d) 4 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4245, -5554, -6863, -8172, -9481?\nAnswer: -10790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, -4, 26, -944 in decreasing order.\nAnswer: 26, 2, -3, -4, -944","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + z = 8, -5*n + 0*z - z = -24. Suppose n = 3*u - 2. Suppose -f - u + 4 = 0. Solve -3*b = -1 - 2, q = f*b - 5 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-14)\/1 + (-29897)\/(-7).\nAnswer: 3, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-43)\/(-3))\/(4 - (-305)\/(-75)). Let y = -147 - t. Does 6 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32057430 to the power of 1\/2, to the nearest integer?\nAnswer: 5662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 17795*-3487\nAnswer: -62051165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 8:13 PM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 388 and 11?\nAnswer: 4268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1468*o**3*r**3 + 4*o**2*r**3 - 55*o**2*r wrt o.\nAnswer: -8808*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*x**2 + 60*x**3 + 13*x - 34*x**3 - 24*x**3 + 31 - 18 - 11 in the form w*x**2 + r + v*x + y*x**3 and give v.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -389 * 427001.\nAnswer: -166103389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/50016 and 53\/114?\nAnswer: 950304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1976\/12 + 2\/(-3). Suppose -b = -2*g + 2*b + 132, 4*b = -3*g + l. Calculate the highest common divisor of 20 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/(-135) - 8\/(-18))*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1084960235.\nAnswer: 5, 216992047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 8:05 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 82127 and 1853?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2464210, 4928416, 7392622, 9856828?\nAnswer: 12321034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m + 3. Let d(j) be the third derivative of j**4\/8 + 5*j**3\/6 + 49*j**2. Let x be (-3 - -1) + -1 + -2. What is x*l(i) + 3*d(i)?\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5337 is divided by 137.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*l**2 - l**2 - 3*l**2)*(0*l - 3*l + 2*l) + (-18*l + 4*l + 9*l)*(-56 - 12*l**2 + 56) in the form x + v*l**2 + q*l**3 + r*l and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 259056102 by -3.\nAnswer: -86352034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z + 2. Let a(f) = -4166*f - 42. Calculate 2*a(w) + 42*h(w).\nAnswer: -8290*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 18 = 7, 3*q - 2*g = 10. Let h = -2 - -9. Let b = h + 0. Is q < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - o + 3*d = -34, 68 = 4*o + 3*d. Suppose 96 = -0*r + 3*r. Calculate the remainder when r is divided by o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - (-12 - 4)) + (7 - 1) + 5 + 50?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 AM and 11:01 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**2 - 960*u + 32400.\nAnswer: -4*(u - 30)*(u + 270)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 10*t - 74. Let d be i(-9). Which is smaller: -166 or d?\nAnswer: -166","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17479*i + 35*i**3 - 50*i**3 + 17479*i.\nAnswer: -15*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*v**2 - 4*v**2 + 12*v**2)*(v - 6*v + v) in the form q + r*v**3 + j*v + k*v**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-3*(sqrt(720) + -2) - sqrt(720)) + sqrt(720) + 4*(sqrt(720) - (sqrt(720) + 1)))**2.\nAnswer: -288*sqrt(5) + 12968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 474 = g - 3*z, g = -3*z + 219. What is the highest common divisor of 264 and g?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**3\/9 + 1310*p**2\/3 + 133694*p - 772780778\/9 = 0. What is p?\nAnswer: -1133, 301","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 10 = -4*o + 2*m, -3*o - 6 = 4*m. Solve -3*g + o*k = 1, -4*k = 5*g + 16 - 7 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2157*i - 9702 = 1863*i for i.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**9\/m*m**(-10))\/((m**(-7)*m)\/(m**(-2\/3)*m)) assuming m is positive.\nAnswer: m**(13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, e: 1, n: 4, a: 1, y: 1}. Give prob of sequence ym.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 8*z**2 + 8*z + 1. Let n(w) = -1 - 4*w - 9*w - 9*w**2 + 4*w + 0*w. What is 6*n(t) + 7*x(t)?\nAnswer: 2*t**2 + 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -69\/2*a**2 + 1\/2*a**4 + 0 - 45*a - 5*a**3 = 0?\nAnswer: -3, -2, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/33 and -151\/1179816.\nAnswer: 1179816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700) + -2*(sqrt(1700) + -1 + sqrt(1700))**2 - (-2 + sqrt(1700))**2*-1) + (-4 + sqrt(1700) + 5*1*sqrt(1700))**2 + -2.\nAnswer: -430*sqrt(17) + 49316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*o = h - 494, 5*o - 73*h + 144*h + 3 = 80*h for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 4*w + g = 41, 0 = 1562*w - 1564*w + 3*g - 106 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 910 + 2738 = 0. Let d be h\/(-128) + 2\/(-16). Suppose p - 8*p = d. Let i(z) = 6*z - 1. Determine i(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11\/6 + -3\/2. Let g be 33*(2 - (-14)\/(-6)). Let z = g + 11. Which is the nearest to -0.1? (a) -5 (b) z (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2635\/21 - 879\/7. Suppose 0 = -x + 3, -2*d - 2*x = 2*x - 6. Which is the third smallest value? (a) q (b) d (c) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3\/23 + -35\/92. Let n = -392 + 9014\/23. Which is the nearest to r? (a) -2\/3 (b) 2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1143.\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/9, -4\/73, -2\/7, -0.5, 7?\nAnswer: -4\/73","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 56\/(-32)*-4 - -14. Suppose 50*u = 57*u - v. Solve -10 = -u*o + o, -4*r + 13 = 5*o for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 286998937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 27223181 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 49987 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 4*v + 8 = 4*w, -v + 1 = 0. Let s = 145.98 - 149. Let x = -0.02 - s. Which is the smallest value? (a) 0.5 (b) x (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 4*k = -7*k - 16, m - 15 = 4*k for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*r + 21 - 69 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 - g**2 - 3*g + 1. Let o(x) = 0*x**2 - x + 0*x**2 + 2 - x**2. Let f be o(-2). Let i be 3 + f - 1\/1. Give c(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t**3 - 234*t**2 - 1. Determine w(78).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20\/913 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 6\/5, 0.3, 47 in ascending order.\nAnswer: -4, 0.3, 6\/5, 2, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.1215 + -1.2215. Which is the fourth biggest value? (a) -5 (b) 1\/4 (c) -1\/225 (d) n (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 272, -4, -3\/5, 3, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*i + 648 = -13*i + 8*i for i.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 - o**2. Let c(z) = -14*z**3 - z - 3. Let s(d) = -c(d) + 2*i(d). Is s(3) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -901 in 0.4, -21, -1\/4, 0, -43?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22197869 and 1289?\nAnswer: 1289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -731\/3005 - -26\/601. What is the biggest value in 0.5, c, 1261?\nAnswer: 1261","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 623 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -438 + 469. What is the first derivative of 25*t - 4 + 6*t - z + 20 + 2*t wrt t?\nAnswer: 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34943570?\nAnswer: 2, 5, 3494357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-22)\/55 - ((-4)\/(-10) + -1). What is the closest to 1\/4 in -5, z, -0.18, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 AM and 11:25 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of p**2 - 7*p**2 + 9*p**6 + 3*p**2 - 4*p**2 wrt p?\nAnswer: 1080*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 24 + 85 + -147\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 4, 0.3, -1, 8, 16, 2\/65?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 0, -5 = -4*o + 3*i + 15. Suppose 4*s = o*v + 674, -2*s + 519 = s + 3*v. Suppose -5*a + s = x - 5*x, 0 = 5*x - 5. What are the prime factors of a?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 5*o + 29. Let u be v(-5). Find the third derivative of -22*p**3 + 29*p**2 - 9*p**3 + 2*p**2 - u*p**2 wrt p.\nAnswer: -186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1262672 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*f + 69*f - 40*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -107*m**3 - 6*m**2 - 85*m - 576. What is the units digit of j(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14\/13? (a) -4 (b) -0.1 (c) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 0*g - g + 8 = 0, 4*g = -4*l. Suppose 2*p - 230 = 3*y, -3*p = -4*p - l*y + 129. What are the prime factors of p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z**2 + 11*z + 27. Let x be b(5). Solve -8 = 8*q - x for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*w - 13 + 5*w + 11)*(-84882*w**3 - 359*w**4 + 84882*w**3).\nAnswer: -3949*w**5 + 718*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 6:08 AM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**3 + 3*i**3 - 3*i**3 + 193580*i - 193548*i - 2*i**3.\nAnswer: -2*i**3 + 32*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 247, -1\/2, -5, 17.\nAnswer: -5, -1\/2, 17, 247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 24. Let r be (m\/(-6) + 1)*-4. Let p = r - -11. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1573072?\nAnswer: 2, 98317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 5*m**2 - 5*m**2 - 3*m**2. Suppose -p + 8 = 3*h, -4 = -h - 5*p - 20. Let a(k) = -k - k - h*k + 3*k. Determine a(i(o)).\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 287267, 574566, 861937, 1149416, 1437039, 1724842, 2012861?\n\"Answer: 6*h**3 + 287257*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 64264*i - 31169 wrt i.\nAnswer: 64264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4439*h**2 - 17723*h**2 - 4436*h**2 + 26583*h**2.\nAnswer: -15*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of g**5\/20 - 7*g**4\/12 + g**2 - 7*g. Let t be n(7). Solve h = -t*h + 9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4284113951?\nAnswer: 13, 17, 43, 450817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6191, -6402, -6761, -7274, -7947?\nAnswer: -8786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.21 in -41, 2\/3, 3, -0.01, 6, 1?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 1\/1617698?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 23*d**2 + 127*d + 327. Calculate v(29).\nAnswer: -1036","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1989354313 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(133) - sqrt(133)*-2) + sqrt(133))*-2)\/(-1*((sqrt(7) - sqrt(14)\/sqrt(2)) + sqrt(7))).\nAnswer: 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*h - 15*h - 12. Let d(i) be the first derivative of 1\/3*i**h - i**2 - i - 1. Give d(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -521 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 136*q + 407. Give y(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -109*z + 96*z + 169 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 78 - 77.748. Let l = 0.008 + d. Let z = l + -0.2599745. What is z rounded to six dps?\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/7? (a) -6\/17 (b) 0.1 (c) 6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1075*c*i**2*k**2 + 1642*c*i*k**3 + c*k**3*s**3 + 2*c*k**3 - 29*i**2*k**3*s**3 + 4*i*k**3*s + i*k**2*s**3 wrt i.\nAnswer: 2150*c*k**2 - 58*k**3*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/135 and -67\/495.\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*c**2 - 3*c - 2 + 38*c**2 - 7*c**2 + c**4 + 15*c**2 - 4*c**2 to the form x*c**2 + k*c**4 + t*c + y + g*c**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**1*l)**(2\/27)*l**(-3)\/(l*((l**(-5)*l)\/l)\/l))\/((l**(4\/9)\/l)\/l**(2\/13))**(-3\/34) assuming l is positive.\nAnswer: l**(24889\/11934)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - 0. Is -35\/6 not equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2964.\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a milligram in nanograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z\/z**(6\/5)))\/z)\/((z\/(z\/z**(-1\/2))*z)\/z))**(-44) assuming z is positive.\nAnswer: z**(-154\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251397 is divided by 50.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i**3 + 29*i**2 - 15*i + 28. Let b be 14\/21*84\/4. Let l be s(b). What is the greatest common divisor of 154 and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -263.45.\nAnswer: -131.725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 47. Suppose -j*y + 25 = -43*y. Solve y*r - 24*r = 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/3 (b) -2383 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 640196 or 640198?\nAnswer: 640196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -246 divided by 8499?\nAnswer: -82\/2833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 11:12 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 89*q - 190. Does 28 divide h(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 4*g**5 - g**3 + 3*g**2. Let f(h) = -h**5 - h**2. Let u = 8 + -11. Let m = 0 + u. Let b(k) = m*f(k) - w(k). Factor b(x).\nAnswer: -x**3*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 117, 97, 77, 57?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 200353201 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 12892, 103035, 347700, 824149, 1609644, 2781447, 4416820?\n\"Answer: 12877*c**3 - c**2 + 7*c + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - -8. Let h = -1.224 - -89.124. Let k = h + -88. Which is the smallest value? (a) u (b) k (c) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141888 is divided by 1290?\nAnswer: 1278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -80 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 75795 + 10?\nAnswer: 75805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, z: 1, e: 2, k: 2, t: 1}. What is prob of picking 2 e and 1 h?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 divided by 916.\nAnswer: -9\/229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f + f - 2. Suppose 3*d - 5*m - 52 = -d, f*d + m = 12. Let l be 129\/(-12) - 2\/d. What is l rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 23*k. Let g be b(-3). Suppose 8*m = 456 + 784. Let s = m + g. List the prime factors of s.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-88)\/(-8) + -6 - ((-16)\/(-256))\/(2\/268).\nAnswer: -27\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -67381, -67382, -67383, -67384, -67385, -67386?\n\"Answer: -w - 67380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 4002?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/(-3))\/(6\/45). Suppose 65 = 17*t + 14. Suppose -t*s + 469 = 2*c - 2*s, 2*s - h = 0. List the prime factors of c.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1268\/(-1)*3\/(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/8 of a kilometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -41?\nAnswer: 3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -453*i**3*n - 274*i**3 + i*n wrt n?\nAnswer: -453*i**3 + i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.71116641 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/42 - -7*(-747)\/(-2646).\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - -1. Suppose s*x = 2*n - 97, -99 = -n - n + 5*x. What are the prime factors of n?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15436, -64586, -146502, -261184, -408632, -588846?\nAnswer: -801826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 14971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -13*j**2 - 1. Give x(2).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t**2 + 28*t - 14. Let f be l(-11). What is the second derivative of -8199*s**3 + 8199*s**3 - f*s + 50*s**4 wrt s?\nAnswer: 600*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85060 is divided by 19285?\nAnswer: 7920","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10812 and 52634088.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - 0. Let h = s - -9. Let i(p) = -p**3 - 11*p**2 - 11*p - 6. Let x be i(-10). Solve -2*k = -0*d - h*d + x, -d - 5*k = 10 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1 + sqrt(1008)) + (sqrt(1008) + 2)*-6 + 0 + sqrt(1008) + -1 + 3.\nAnswer: -16 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/3587744 and -89\/2674.\nAnswer: 25114208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u\/(u*u**(-1\/20)*u))))\/u**30 assuming u is positive.\nAnswer: u**(-619\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 0.4, -2\/5, 2\/9 in descending order.\nAnswer: 20, 0.4, 2\/9, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 1. Let y = b - 2. Let a = -4 - y. Put 5, 0.3, a in descending order.\nAnswer: 5, 0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -0.7 (b) -1 (c) -395\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10129823 divided by 10129823?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.5, -5962633 in increasing order.\nAnswer: -5962633, -0.5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u - 1. Let l be t(4). Suppose 5*m - l*p = 34, p = m - 0*p - 8. Suppose -g + m = 4*g. Sort 0, g, -5 in increasing order.\nAnswer: -5, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 1536*m - 805. Calculate r(1).\nAnswer: 731","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 - 4. Suppose -o + 3*s + k = 0, 3*s = 2*o - 0*s - 18. Let q(u) = u**2 - 2*u - 1. Let j be q(o). Is j != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*2\/(-4)*(0 + -2). Suppose -k*d - 49 + 51 = 2*i, -5*i + 5 = -d. Sort -36, d, -4 in descending order.\nAnswer: d, -4, -36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of -k**6\/120 + k**5\/20 + k**4\/12 + 5*k**3\/6 - 4*k**2. Suppose -60 = -11*d - 4*d. What is h(d)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1057867 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 0 = -3*x + 24, 3*s + x - 13 = 0. Let h = -20 - -35. What is the greatest common divisor of s and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-190)\/(-40) - (-3)\/(-4). Suppose -7*b = -j*b - 42. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + t = -2*p + 10, -32*t + 52*t - 23*t = -5*p + 55 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + 0)\/((-12)\/(-1740)). Let f = g + 341. Suppose -15*d + 11*d = -f. What is the remainder when d is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, t: 4, p: 2, s: 1}. What is prob of picking 2 t?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 73*y - 35*y - 45*y to a*y + d and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -14566420 divided by 3212\nAnswer: -4535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12939816?\nAnswer: 2, 3, 539159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/9 - 836*y\/3 - 2509\/9.\nAnswer: (y - 2509)*(y + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 7:39 AM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 o when two letters picked without replacement from ougxggooxgmxg.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**(-1)*w*w)**(-6)*w**(2\/3)*w*w**(-2\/5) assuming w is positive.\nAnswer: w**(-251\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*t - 5*t - 173 = 37*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -614*v + 6. Let g(w) = 821*w - 8. Determine 7*g(d) + 9*o(d).\nAnswer: 221*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 15 = -3*i. Let t be (-2)\/1 - -2 - i. Suppose -g = 0, -3*o + 0*g = t*g. Solve o = m - 3*u - 16, -2*u = -3*m + u + 18 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 20 = -5*y, -4*y - 220*o + 217*o = -17 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -162.401 and 0.1?\nAnswer: 162.501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 136*m + 700. Let x be w(-5). Put x, 2, 6 in increasing order.\nAnswer: 2, 6, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (1 - 2) + -9 + 4 - 2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/((-825)\/10))\/(32\/(-19712)).\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -1)\/((-3)\/(-1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1350 and 750?\nAnswer: 6750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 27*y + 12. Let g be c(-9). Let d = g + 161. Calculate the least common multiple of d\/(-9) - 2\/(-9) and 22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that u**3\/5 - 117*u**2\/5 + 696*u - 3364\/5 = 0.\nAnswer: 1, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 7*q**3 + 5*q**2 + q - 2. Let f(j) = 3*j**3 + 16*j**2 - 5 - 5*j**2 + 12*j**3 + 2*j. Let r(n) = -6*f(n) + 13*t(n). Let p = -3 - -3. Determine r(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4536*n**5 - 1225488*n**4 - 84087074*n**3 - 177099228*n**2 - 27617400*n - 71824 = 0. Calculate n.\nAnswer: -134, -2, -1\/6, -1\/378","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s + 115*f - 112*f + 1, 0 = 2*s + 2*f - 6 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 (base 14) in base 3?\nAnswer: 11111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y - 1. Suppose i = -3*i + 132. Suppose 5*d = -4*h + i, -2*h = 4*d - 36 + 12. Calculate the remainder when d is divided by g(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1769 + 1780. What is the remainder when 476 is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7425808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 5*o**2 + 7*o + 8. Determine f(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12211 - 0?\nAnswer: -12211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + 6*a**2 - 5*a + 7. Let m be z(5). Let f(s) = -s**2 + 6*s + 6. Let i be f(m). Put i, 3, 10 in descending order.\nAnswer: 10, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -0.8769 (b) -4\/7 (c) 8\/13 (d) -5 (e) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n = -j - 7*n + 174, 8 = -4*n. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 + 3)*(-6*x + 37747 - 5*x - 37791) as s*x + v and give s.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -130*q + 1702. What is x(13)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 9:22 PM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 316229499 is divided by 500.\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five thirds of a century in months?\nAnswer: 22000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 10220?\nAnswer: -10219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -f - 4*z, -3*f - 4*z - 5 = 2*f. Let j be (-699)\/f + (-2)\/(-10). Suppose -2*l + 7*l = j. Is 7 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 4 - 2. Suppose -n*p - f = -7, -4*f = -p - 2*p + 17. Factor -12*o + 46*o + 486*o**2 + 8 + 723*o**3 + 74*o + 6*o**p.\nAnswer: (9*o + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/((-4)\/(3 - 7)). Solve -2*y = 2*j + t, 5*j + 23 = y - 5 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.9 + -2. Let b(x) = x**2 - 132*x + 4280. Let i be b(57). What is the nearest to q in -0.14, 4, i?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4370120 or -4370119?\nAnswer: -4370120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 189830 a multiple of 182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.314948 from 0.\nAnswer: -0.314948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 h when four letters picked without replacement from wwwwwwhh.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 5*w - 2491 - 464 = 0, -w + 7353 = -5*i. What is i rounded to the nearest one hundred?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -1 - 6*p + 0 - 1342*p**2 + 2*p**3 + 1335*p**2 + 5*p**3. Let n(c) = 13*c**3 - 13*c**2 - 11*c - 1. Determine -6*n(y) + 11*u(y).\nAnswer: -y**3 + y**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, i: 11}. What is prob of sequence bbib?\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -0.2, 2, -62\/3, -0.5 in decreasing order.\nAnswer: 2, 1\/6, -0.2, -0.5, -62\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 471*j + 56213 = 732*j + 578*j for j.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, j: 2, q: 1, k: 1, u: 2}. Give prob of sequence hju.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48751?\nAnswer: 48751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*((-195)\/6 - 2). Let z = -34 - s. Does 10 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - 7*q**2 + q + 7. Let r be m(-7). Suppose r*p = -p + 14. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4865302.43 to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10 - ae?\nAnswer: -9e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) -4 (c) 14 (d) -11.5 (e) -2\/33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 - -3 - (-6)\/(12\/10). Solve -z*j = 12*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -5*j**4\/24 - 34*j**2 + 2*j. Let k(l) = 3*l. What is k(i(d))?\nAnswer: -15*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**3 + 434*v**2 + 32876*v + 810468. Let s(n) = -n**2 + 2*n + 2. Let x(l) = q(l) - 10*s(l). Factor x(h).\nAnswer: 2*(h + 74)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155752367.\nAnswer: 19, 431447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -35*c + 59*c - 26*c + 8 - 20*c. Let v(r) = 7*r - 3. Give -3*t(p) - 8*v(p).\nAnswer: 10*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1983, -30960, -109617, -262794, -515331, -892068?\n\"Answer: -4140*b**3 + 3*b + 2154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -487 and -344571411246.\nAnswer: -344571411733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3275, 8003, 12717, 17417, 22103?\nAnswer: 26775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 3*x - 13462, -253*b = -254*b + 2. What are the prime factors of x?\nAnswer: 2, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of w**5\/30 + w**4\/4 + 5*w**3\/6 + 4*w**2. Let q be d(-3). Let z = -6 - -2. Which is the nearest to -0.1? (a) z (b) 0.3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1313025 divided by -21525.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -109 + 126. Calculate the remainder when 405 is divided by b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -359*m**3 - 5*m**2 - 147*m - 142. Calculate x(-1).\nAnswer: 359","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 494564501 a multiple of 109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w = -7*w - 12. Suppose 121 + 632 = w*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7096\/17515 - 18\/3503. What is the closest to 13 in 11\/4, 5, h, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 384 - 200. Let m = -181 + u. Solve -2*k + 27 = m*a + k, -3*k = 4*a - 32 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3872*k**3 + 231440*k**2 - 52750*k + 3000.\nAnswer: 2*(k + 60)*(44*k - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -2. Suppose 2*f = y + 2, 5*f + c - 1 = -3*y. Sort -1, -6, f in decreasing order.\nAnswer: f, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (677 - 369 - 489)*(-2*i**3 - i**3 - 5*i**3).\nAnswer: 1448*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (3 + 2 + -2 + -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 15 = 0, -3*n + 134 = a - 145. Let g = -71 + n. Calculate the remainder when g is divided by (2 + 16\/(-6))*-9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 90813, 90971, 91235, 91605, 92081, 92663?\n\"Answer: 53*c**2 - c + 90761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 0.3 (c) -32 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -u - 2*u. Let a(x) = -7*x**3 - 2*x**2 - 1. Let r be a(-2). Let c = r - u. What is the remainder when c is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/6*12\/(-2). Let n be (-62)\/(-10) - r\/20. Let m(p) = -6 + n - 5*p + 4*p. Let h(t) = 4*t**2. What is h(m(v))?\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6, 3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 290638 is divided by 519.\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -121\/40 + 37\/8. Let x = 6\/5 - l. What is the third biggest value in x, -5, 5, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + 5*a**2 - 5*a + 4. Let p be t(-6). Let l = 10 + -6. Let h = l + p. Solve 3*q + 1 = 2*v, h*q + 5*v - 9 = 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 112 + -107. Suppose 198 = 5*i - 27. Calculate the highest common factor of n and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-222*z - 305*z + 130*z)*(-33*z + 33*z + 17*z**3)*((0 - 2 + 1)*(2 - 7 + 3) + (2 + 0 - 3)*(-1 - 1 - 1)) as v*z + y + p*z**3 + h*z**2 + x*z**4 and give x.\nAnswer: -33745","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h + 3*h - 3*h)*(0*h + 0*h + h).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/3)*z)\/z*z**(-8)\/z*(z**(-2\/7))**(-7) assuming z is positive.\nAnswer: z**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -484*b**3 + 40*b**3 + 6*b - 6*b + (3*b - b - 3*b)*(3*b**2 - 3*b**2 - b**2) - b**2 + b**2 + b**3.\nAnswer: -442*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -2. Let x be ((-7)\/(-14) - (-18)\/(-28))*-7. Let l = s + x. Sort l, -1, 4 in increasing order.\nAnswer: -1, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 325208 and 4487717?\nAnswer: 767","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 9\/4, 5, -27.2, 4\/19 in descending order.\nAnswer: 5, 9\/4, 4\/19, -27.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7964 and 905.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2867 or -1347?\nAnswer: -2867","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 677674 and 677660 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*j + 1138 = -42*j + 101*j - 8960 for j.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42 or 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/13*(-4)\/8?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1506 and 2154?\nAnswer: 540654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 374494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -46 + 371\/8. Let f be 11405\/5*(-2)\/(-78). Let w = f - 175\/3. Which is the third smallest value? (a) p (b) 0.2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48 - 5*p**4 - 4*p**2 - 48)*(5*p - 4*p - 2*p).\nAnswer: 5*p**5 + 4*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -198*n - 4 + 488*n - 34*n + 345*n + 320*n in the form a*n + l and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 315145.91 to the nearest 10000.\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00688348552 to 5 decimal places.\nAnswer: 0.00688","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-1)\/(-4)*40\/30?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -2*t + 150. Suppose -2*j - 4*z + 41 = -5*z, 4*j + 5*z = t. Calculate the greatest common divisor of 140 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p**3 - 401*p**2 - 2528*p - 1160. Determine f(-194).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 3*j - 518 = -255, 0 = -5*v - 5*j + 295. Calculate the highest common divisor of 407 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2019*-3.\nAnswer: -0.6057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = 47*v + 133, -2*v + 7*v - 3847*m = -3843*m - 23 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 670\/201*(19\/25 + -1)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 5760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/((i*i\/i**1)\/i*i*i)*i*i\/(i*i\/(i*i*i**(-6\/11)*i*i))*i**(-2)*i\/(i*i\/i**0*i) assuming i is positive.\nAnswer: i**(-17\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.67342 - -0.06195.\nAnswer: 1.73537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 536 is divided by 33.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 2*k + 12. Let c = 2 + -3. Suppose 0 = -88*p - 0. Put c, 1, p, k in descending order.\nAnswer: k, 1, p, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - (2\/10 + (-4)\/20). Let l be (g - -4) + (-7 - -5)\/1. What is the nearest to 2\/3 in 4, l, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6347471843\/324 - -19590940. Let u = m + -22\/81. Calculate the common denominator of -36\/23 and u.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 4*y + 32. Let a be q(-8). Suppose -2*w + 43 = -4*h - 13, 4*h = a. Calculate the remainder when w is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilogram in milligrams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -161\/120 and 99\/200?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppaaapppapapaapppya. What is prob of sequence aayp?\nAnswer: 35\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 163 - 161. What is the least common multiple of j and 296?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 693*k + 697*k - 1384*k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3*p**3 - 2*p**2 - p + 1. Let k(n) = -n**3 - n**2 - 6. Let s be k(0). Let b(z) = -z**3 - 6*z**2 + z + 8. Let w be b(s). Is 15 a factor of h(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 291 = -0*z + 5*z - w, 1 = -w. Let f(u) = 48*u**2 + u**3 - 4*u - 22 - z*u**2 + 18*u. What is the tens digit of f(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2 = -8. Suppose 5*z - m*t - 1 = 0, 5*z - 20 = -3*t - 1. Suppose -2*r - 4*c + 24 = 2*r, -2*c + 4 = -z*r. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 4*d**3 + 2*d**2 - 2*d + 2. Let i(f) = 3*f**3 - 1. Let y be i(1). Calculate the smallest common multiple of l(y) and 22.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 21*m + 16*m = 34*m + 24, 8*m - 8 - 4 = 4*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert e5 (base 16) to base 15.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38 - -237. Let j(y) = -3*y**3 - 18*y**2 + 42*y + 314. Calculate the remainder when m is divided by j(-5).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/18 and -71\/15?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6608*g - 27 = 2*x - 6609*g, -3*x + 36 = 3*g for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0*x)**(-47)*x*x**(-2\/13)*x**2\/x*x*(x*(x\/(x\/(x**(-1)\/x)))\/x)**31*x\/(x\/(x\/(x\/(x*x\/(x*x**(-1))))))*x**(-3\/5)\/x assuming x is positive.\nAnswer: x**(-6874\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38 - 40. Let n(v) = v**3 + 2*v**2 - 2*v + 1. Give n(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-132)\/24) + -1 + 0 - -1.\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5093850 and 300.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4365 + -4365. Solve -9 = -2*r - w, 2*w + s*w + 14 = 4*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 - 213*y**2 - 6290*y - 1973. Give t(-26).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 7734479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*w - 740923 = 443384 - 26171. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*-4*(sqrt(162)*1*6 + 2))**2 + -4 + 3.\nAnswer: 124416*sqrt(2) + 3361535","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2725, -5417, -8107, -10795, -13481?\n\"Answer: o**2 - 2695*o - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, -3, 10 in increasing order.\nAnswer: -3, 10, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -112912 and -15.\nAnswer: 1693680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/15 of a week?\nAnswer: 80640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -3*q**3 - 3*q**2 - 6*q + 5. Let j(y) = -y**3 - 3*y + 2. Let n(p) = 2*g(p) - 5*j(p). What is n(-6)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9061 - -11979. What is the remainder when s is divided by 139?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 97249.59524 + -97100.59524162. Let p = h - 149. What is p rounded to 7 decimal places?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001174243 to seven dps.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*s = 12*s + 4. What is c in 79*c**4 + 24*c**3 + 2*c - 6*c + 6*c**s - 65*c**4 = 0?\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 985437403 to the nearest integer?\nAnswer: 995","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/t**(1\/3)*t*t*t**(-1)*t)\/(t**(1\/5)\/t**4) assuming t is positive.\nAnswer: t**(112\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3776818 + 5565687. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9146 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -188 - -179. Let c be 2\/12 + (-125)\/30. Let a(y) = 2*y**2 + 9*y + 9. Let b(d) = -2 - 5*d**2 - 2 - 4*d + 4*d**2. Determine c*a(n) + m*b(n).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -13*x - 8. Let g(b) be the second derivative of b**3\/2 + b**2 - 2*b. Let m be (-4114)\/(-1089) - 4\/(-18). What is m*y(q) + 18*g(q)?\nAnswer: 2*q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 13282.8583 to 0 dps.\nAnswer: 13283","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7237 = -3*k + 5*g, 5*k - 1675 = 3*g + 10360. Does 64 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*r - 406085 + 406085 + 2278*r**2)*(-5*r - 7 + 7) to the form l + w*r**2 + x*r + m*r**3 and give w.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 1033\/9*n - 115\/3*n**2 + 2\/3 = 0?\nAnswer: -2\/345, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 941057467 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 16*m**3 - 121*m + 236*m + 13*m**2 - 114*m + 3 - 2 as t*m**2 + n + v*m + q*m**3 and give t.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -1. Let i be ((-4)\/(-10)*(-35)\/(-1))\/2. Suppose i = 43*r - 50*r. Let d(c) = -2*c. Give r*d(y) + 2*m(y).\nAnswer: 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 AM and 4:17 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*n + 6 = 3*v, -5*n - 3*v + 6 = 0. Let x(p) = p**2 - 19*p - 1. Let s be x(n). Let g = 0.7 + 4.3. What is the third biggest value in -1\/3, g, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 w when two letters picked without replacement from {q: 2, a: 1, o: 3, i: 1, e: 1, w: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -50*p - 6. What is u(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -0.11, 0.9, -1\/3, 1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -19*l + 5*l. Let r(g) = 2*g**2 + 3*g - 4. Let d be r(-3). Calculate the greatest common divisor of d and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 310 - -9?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-10 + 2 - (33 + -47)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of q**3*x - q**3 + 1240*q**2 + 642*q*x + 2*q - 3*x wrt q?\nAnswer: 6*q*x - 6*q + 2480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9280 + -3840. Is 8 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - (-1 + -14 + -78)) + (-4 - (0 + 4)).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 13 - 18, -j = -2*x - 14. Factor -3\/2*f**j - f**3 + f**2 + 1\/2 - 1\/2*f**5 + 3\/2*f.\nAnswer: -(f - 1)*(f + 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -300*f + 200. Let n(a) be the second derivative of -25*a**3\/6 + 8*a**2 + 6*a - 3. Let y(s) = 2*h(s) - 25*n(s). Let l(d) = -3*d**2. Give y(l(k)).\nAnswer: -75*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4606 divided by -7.\nAnswer: -658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 19*s. Let z(q) = -199146*q. What is n(z(j))?\nAnswer: -3783774*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*u**6 - 55*u**3 + 2*u**2 - 66*u wrt u?\nAnswer: -600*u**3 - 330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 869197961 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -1\/2, -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k + 14. Let u be s(10). Suppose u*a = -6*a + 20. Suppose -4*l + 114 = a*j, j + 2*j - 151 = -2*l. What are the prime factors of j?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11936144 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 = 148?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 w when two letters picked without replacement from {g: 2, q: 1, k: 1, s: 1, v: 1, w: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + 4*t**2 - 6*t. Let c be b(-5). Suppose c*y = 13 - 3. Which is smaller: y or 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99579*z = 99611*z - 128 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -17959*f**2 + 10*f - 3. Let w be m(6). Let q = 365467 + w. What is q rounded to the nearest 10000?\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5 - 3) + 10\/(-4). Put 1, a, -4 in increasing order.\nAnswer: -4, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -70891 < -3402727\/48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**4)**(9\/13)*x**(-13)*x**20*x assuming x is positive.\nAnswer: x**(140\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*o + 17. Suppose o*f + 3*a - 15 = 0, 4*f + 4*a = 3*a + 13. Suppose -f*u + 7 + 29 = 0. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of x**4\/6 + 5*x**3\/3 + 13*x**2\/2 - 81*x. Let i be j(-4). Solve 0 = n - 2*u + 5, -i = -0*n + n - u for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -141*w. Let t(a) = 11*a**2 - 2. Let o(j) = 26*j**2 - 5. Let k(x) = -2*o(x) + 5*t(x). Determine g(k(d)).\nAnswer: -423*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - v - 21*v**3 + v.\nAnswer: -21*v**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**4\/p)**19)**14 assuming p is positive.\nAnswer: p**798","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 342 (base 7) to base 13.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -2. Suppose c = 2*s + 3*s - 15. Differentiate 4 - s - 8 - 3*g**4 wrt g.\nAnswer: -12*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 31 = 4*d - 14, 11 = 3*u - d for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 AM and 12:42 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of 2\/3*s**6 - 5*s**2 + 0*s**4 - 9 + 0*s + 0*s**5 + 0*s**3. Find the second derivative of h(i) wrt i.\nAnswer: 80*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 651*f - 1654*f + 470*f + 426*f.\nAnswer: -107*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3130*x - 1073591. Calculate t(343).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -14*w**2 + 132*w - 128. Determine o(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - z - 43. Determine s(-11).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((0 + sqrt(2736))*-5 + -1 + sqrt(2736) + -4)**2*-5*3.\nAnswer: -657019 - 7200*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of 165*y**3\/2 - 3*y**2\/4 - y - 1900. Factor a(s).\nAnswer: (15*s - 1)*(33*s + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 115 + -277. Let p = i - -312. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1858 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 + 41*k - 224. Give s(5).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s - 8*s - 4*s + 20 - s**2 - 4. Let n be b(-12). Solve f - 2*f = n for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -74, -152, -232, -308, -374, -424?\n\"Answer: d**3 - 7*d**2 - 64*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*u**4 - 159*u**3 - 1266*u**2 - 480*u.\nAnswer: 3*u*(u - 16)*(u + 5)*(5*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 504.713 + -505. Let y = 0.35 + d. Let j = 0.027 - y. Round j to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111000000 - 10011110101?\nAnswer: 11001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f. Let d(i) = 503*i**2 - 1. What is r(d(c))?\nAnswer: -503*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((78\/4)\/(5\/(-20)))\/(60\/2240*28)\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.4088962 months in decades?\nAnswer: 0.020074135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118588*k - 480 = -118468*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 6 = 4*p. Solve s - 13 = -2*b, -4*s - 4 = -2*b - p*s for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 125 and 129925?\nAnswer: 649625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87856 = 1832*b - 29232 for b.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -20*s**2 - 10*s + 10. Let v(u) = -7*u**2 - 3*u + 3. Let t(c) = 10*v(c) - 3*w(c). Let r(i) = -i. Determine r(t(f)).\nAnswer: 10*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hqqq when four letters picked without replacement from wwrrrrqqqrqqqqhqqwqq.\nAnswer: 11\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -4*w - 11. Let d be i(-6). Let f = d - 10. Suppose 0 = 2*t - 0*t - f*v - 1626, -6 = 3*v. What is t rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - 7. Let x = -2 + i. Sort 1, 0, x in decreasing order.\nAnswer: x, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + 8*c**2 + 3*c + 4. What is the units digit of d(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 6*r - x = -2797, 5*x = -25. List the prime factors of r.\nAnswer: 3, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 5*n**3 - 1270*n**2 - 5160*n = 0.\nAnswer: -4, 0, 258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 53*l**3 + 4*l**2 - 9*l + 9. Let r(u) = 13*u**3 + u**2 - 2*u + 2. Let c(d) = 2*q(d) - 9*r(d). What is the third derivative of c(m) wrt m?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 111822060.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12997*h*v**3 - 2266*h*v**2 + 32*v**3 + 144826 wrt h.\nAnswer: -12997*v**3 - 2266*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -224, -435, -636, -821, -984, -1119, -1220?\nAnswer: -1281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -12208, -24283, -36344, -48385, -60400?\n\"Answer: a**3 + a**2 - 12085*a - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-87)\/(-9) + (-1)\/(-3). Let v = 7 - -3. Calculate the highest common divisor of v and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 8046782?\nAnswer: -2414034.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1106223402?\nAnswer: 2, 3, 971, 189877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22*z**2 - 5*z**2 - 26*z**3 - 4*z**2 + 5*z**2 wrt z.\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -25\/7 (c) 315.46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -213444, -426871, -640298, -853725?\nAnswer: -1067152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 b, and 1 e when three letters picked without replacement from {a: 1, e: 4, x: 1, v: 2, b: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 21 = -5*d. Let v be (1\/(-4)*-6)\/(60\/d). Let u be (-2)\/6 - 4\/(-3). Which is smaller: u or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -14, -36, -66, -98, -126, -144?\n\"Answer: v**3 - 10*v**2 + v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/12887 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -245\nAnswer: 4\/245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1045\/(-45) + (-2)\/(-9). Let m be -42*(1 - (-42)\/(-27)). Let o = m + f. Which is greater: 2\/5 or o?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1034332, -1034384, -1034436?\n\"Answer: -52*r - 1034280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 22352130 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 2*g - 12782, 6*g = -p + 37462 + 876. List the prime factors of g.\nAnswer: 6389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1307\/7546 - -7727100079\/22638. Find h such that t - 2\/3*h**3 + 160*h**2 - 12800*h = 0.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 21 - 15*j + 14*j - 5*j. Let t be v(4). Is t >= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = -4*g - 5*o, 1793*g + o - 1 + 3 = 1796*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -8*v + 53. Let b be x(7). Let m(l) = 30*l**2 + 16*l. Calculate the remainder when m(b) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 308.6 in 4\/7, 3\/4, -72?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 345316522 to the nearest integer?\nAnswer: 702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13689173 and -0.2.\nAnswer: 2737834.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2eb0 (base 15) to base 13.\nAnswer: -4773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -104398.6 * -0.3.\nAnswer: 31319.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**2 - 46*f - 58. What is q(24)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*f - 28 + 6. Factor -161*k**2 + 4*k**3 + 43*k**2 - f + 53*k**2 + 52*k**2 + 11*k.\nAnswer: (k - 2)*(k - 1)*(4*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -3*j + 8. Is 26 a factor of a(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/(-1) - (-10)\/(-5). Suppose -r + 7 = c*q, q + 4*r - 14 = -4*q. Solve -q*x + 0*x + 6 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 9 = -6*i. Let a(y) be the second derivative of -2\/3*y**3 + 0 + 1\/12*y**4 - 5\/2*y**i + y. Determine a(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 658 and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/7 greater than 76704?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2814 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 PM and 5:38 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 31 = -4*a, 0 = -0*z + 4*z + 5*a for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2469047 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: Calculate the greatest common factor of 1024 and 213376.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 255*n. Let j(i) = -i**2. Determine s(j(k)).\nAnswer: -255*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.1661606 times 2?\nAnswer: 50.3323212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.0756 (b) 2 (c) 869 (d) -1.3 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + 7*b + 1. Let x(p) = -3*p**3 + 5*p**2 - 2*p + 3. Let f be x(2). Calculate i(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000002135801509 rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -181206*d + 1630920. Give r(9).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.416 in 0.3, -3, -24, 2, -4\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 270 divided by 90\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8 - 8)\/(3 - -1). Suppose -19*y + 377 + 1884 = w. What is the highest common divisor of 7 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 170 by -11096.\nAnswer: -85\/5548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -7*x**2 + 4*x - 7. Let f(g) = g**2 - g. Give 4*f(r) + u(r).\nAnswer: -3*r**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 8 - (13 - 14)) + 8 - -4?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -3*l + l - 5*g, -2*l + 2*g = -18 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -899 (base 16) to base 3\nAnswer: -10000112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5 + (-2 + sqrt(117))**2).\nAnswer: -756 + 72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -0*s + 8. Let x(d) = 2*d**2 + 7*d - 2. Let b be x(s). Let t(n) = n**b - 5*n + 2 + 10*n - 9*n + 2. Give t(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(-28))\/(2\/6)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, -60, 1, -1, -14, -3, 3 in ascending order.\nAnswer: -60, -14, -3, -1, 1, 3, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9904.27nm to centimeters.\nAnswer: 0.000990427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.6146486 and -1.\nAnswer: -1.6146486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3051 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.237 in 0.2, 2\/35, 0.5, -1\/6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 6 (c) 0.3 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 147, 126, 105, 84, 63, 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3134 + 3133.8. What is the smallest value in 4\/7, 16, s, 5, 0.02?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - 232*v - 1573. Suppose 4*x + 8 + 16 = 0. What is the remainder when 1 + (2 - x) + -2 is divided by u(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*l + 101 + 70 = 0 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2859588 to the nearest integer?\nAnswer: 1691","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 25\/20*(-6)\/30*1. Sort t, -24, 5 in descending order.\nAnswer: 5, t, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20653 = 874*z + 63479 for z.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t**2 - 2*t + 3. Let z = -110 - -112. Give l(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 115556655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -29\/2 in 2\/13, 2, 2\/3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.024174582 rounded to three dps?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 0 + 38. Let t = s - -33. Suppose -3*k + 28 = -t. Is 11 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from tttkktkkttktttkkktxt?\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 363 - 268. Let t = -80 + u. Suppose 0 = 4*k - 3*h - 25, -k + 14 = k - 2*h. Calculate the remainder when t is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-2)*1 - 2\/(-8). What is the third smallest value in 1, b, -13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.4 - 20.5. Let j = -18 - 3. Let p = d - j. Which is the closest to -0.1? (a) p (b) 3 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 7*g**2 + 2*g + 1. Let v be f(-1). Let h be (4\/v)\/((-10)\/(-45)). Let m(i) = i + 2. Let a(c) = -2*c - 6. Calculate h*a(u) + 8*m(u).\nAnswer: 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**3 - r**3 + 0*r**3 + (-3*r + 0*r + 2*r)*(-2*r**2 + 2*r**2 + 2*r**2) + 15*r**3 + 75 - 75 - 2*r**3 + r**3 - 2*r**3.\nAnswer: 11*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -5f?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 5*w + 67, 0 = -80*w + 76*w + 20. Solve -a*k = -29 - 40 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9916085107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.1 + 4. Let t = 67\/22 - 162\/55. Which is the closest to -0.2? (a) t (b) u (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/(sqrt(4)\/(sqrt(8)\/sqrt(4))) + 4.\nAnswer: sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*o**2 - 194336*o - 971580 = 0. What is o?\nAnswer: -48579, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 984209.3 kilometers?\nAnswer: 984209300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -2*t**3 - 32*t**2 + 15030*t - 429300 = 0.\nAnswer: -106, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, m: 13}. Give prob of picking 3 n and 1 m.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t**4 - 1 + 1)*(t - t - t)*(-39 - 18 - 9).\nAnswer: -264*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3401*c - 10294*c + 64976*c.\nAnswer: 51281*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3\/8)\/(u*u**(-39)*u))\/((u**(-1\/6)\/u)\/u*u*u**(26\/5)) assuming u is positive.\nAnswer: u**(3911\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9419695 decades in centuries?\nAnswer: 0.09419695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -17*a - 704. Calculate o(-50).\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 z, and 1 m when three letters picked without replacement from mznmhnmmmnmznbmh.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1218\/232*(-1264)\/(-1185)\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 141*t**4 + t**3 - 243?\nAnswer: 564*t**3 + 3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-3)*(-6)\/(-4). Let d be 16\/140*7\/6. Let i(o) = o - 4. Let y be i(4). What is the biggest value in d, y, x?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -180472337*v**2 - 232308153?\nAnswer: -360944674*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 PM and 1:56 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.1001588 minus -131?\nAnswer: 128.8998412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 29270968 less than -0.4?\nAnswer: -29270968.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1195 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6873319485?\nAnswer: 3, 5, 157, 972869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.5560974 rounded to one dp?\nAnswer: -32.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3694 and -610495.\nAnswer: -614189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 39\/(-156) + -2*(-30)\/(-16)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -227700 or -227698?\nAnswer: -227700","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(560)\/(sqrt(160)*1))\/((sqrt(32)\/sqrt(2) + sqrt(16))\/sqrt(2) + -2*sqrt(200)).\nAnswer: -sqrt(7)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 333 and -8.0438.\nAnswer: -2678.5854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of q**8\/560 - q**7\/280 - q**6\/120 + q**5\/40 + q**3 + 4. Let r(b) be the third derivative of m(b). Suppose r(g) = 0. What is g?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -4*g**2 - 9*g - 1. Let h(o) = o**2 + 27*o + 77. Let t be h(-24). Let f(c) = 24*c + 7*c**2 - 2 + 1 + 4 - 7*c. Let x(q) = t*y(q) + 3*f(q). Give x(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*f = -16*f + 192. Solve 2*z - 2 + f = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*t**2 - 5*t**2 + t**2 + 5*t**2 - 28*t**2 - 17*t**2.\nAnswer: -39*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57133533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 - 5*r + 2. Let q be d(-5). Let k(s) = -57*s - 6. Let z be k(q). Let a be (-2)\/5*z\/16. Solve -2*t - 5 = a*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 t when three letters picked without replacement from {t: 9, r: 9}.\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5719 and 37506.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 328 + -1417?\nAnswer: -109a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 8055*x**3 + x**2 - 10*x + 8. Let p be c(1). Suppose 14*z - 4854 = p. Is 49 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 216*u + 12663. Calculate x(-21).\nAnswer: 8127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1403.55 to the nearest 10.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31821?\nAnswer: 3, 10607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.39111l in millilitres?\nAnswer: 51391.11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-21)\/p)\/(p*p*p\/(p\/((p\/p**(-7\/2))\/p)*p)*p)*(p*p**(-9\/2)\/p)**(1\/2))**25 assuming p is positive.\nAnswer: p**(-2975\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y - 11*y + 3*l - 48 = 0, 3*y - 2*l - 48 = 0. What is the greatest common factor of y and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31 divided by -4453\nAnswer: -31\/4453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.7 + 5.56. Let b = -0.016 + -4.684. Let l = w + b. Round l to one dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/(-2*sqrt(12)) - (-4 + sqrt(15)\/sqrt(5)) - (4 + (sqrt(3) - (sqrt(21)\/(sqrt(14)\/sqrt(2)) - sqrt(3))**2 - -5*sqrt(9)\/sqrt(3))).\nAnswer: -15*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-2) + ((-126)\/(-12))\/(-7). Let m(y) = -2*y**3 - y**2 - 2. Let d(x) = x**3 + x**2 + x + 1. Give c*d(z) - m(z).\nAnswer: z**3 - z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 19*r**2 - 20*r + 26. Let x be g(18). Let u be x\/(-6)*(-120)\/(-208). Let n = 6\/13 - u. Is n < 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 168 divide 264656?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 36*o - 45*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 4 - 31 = 0. Solve -2*k + 4 = -3*n - 10, -3*n - 5*k = u for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*i - 3*i + 2*i + (2 + 0 + 0)*(2 + 1 - 1)*(123*i - 5054 + 5054).\nAnswer: 495*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10.556 - 10.555992579. Round w to six decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -358 and -0.18046?\nAnswer: 357.81954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 11, r: 2, m: 2, v: 1}. Give prob of sequence rmr.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.8204 rounded to zero decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-45)\/(-20)*4).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4.64 (b) 1\/2 (c) 0.0459\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + 0)*5 - (0 + -7). Let k(m) = 33*m**2 + 5*m + 8*m**g + 3*m - 6*m. Let s(a) = -2*a. What is s(k(y))?\nAnswer: -82*y**2 - 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -25175071?\nAnswer: 25175076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 876*b**2*i**2 + 9*b**2*i - b**2 + 2*i**2 + 6*i wrt i.\nAnswer: 1752*b**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a year in months?\nAnswer: 174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 AM and 11:11 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3*a**3 - 2*a**2 + 6*a - 4. Let o(t) = 3*t**2 + t**2 - 8*t**3 + 4*t**2 - 17*t + 11 - 3*t**2. Calculate -11*l(i) - 4*o(i).\nAnswer: -i**3 + 2*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 168*d**3*w**3 + 102*d**3 - 30*d**2*w**2 + d**2*w + 5*d*w**3 + 8*w**3 wrt w.\nAnswer: 1008*d**3 + 30*d + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(117) + 3)**2 - ((-2*sqrt(325))**2 + 4).\nAnswer: -1178 + 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cfjjfjshhffskc. What is prob of sequence jss?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 83464189 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 x, and 1 w when three letters picked without replacement from wwwwxrx.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 24.1196ng?\nAnswer: 0.0000000000241196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 112 and 618820272.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38 - -58. Let f be (-18)\/(-3) - 1 - 1. Solve -5*q - d - 4 = -g, -3*d = -f*q + 9 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - 9*r + 34. Let q be g(4). Which is the third biggest value? (a) 0.1 (b) q (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3148880 to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -7*p**2 + 4*p + 4. Let i(k) = -14*k**2 + 7*k + 7. Give -4*i(m) + 7*s(m).\nAnswer: 7*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47582 is divided by 501?\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - h, 6*o - 3*o - 5*h = 26. Let n be 4 + (o - 0 - 1). Let l = 44230 - 44231. Which is the second smallest value? (a) 5\/4 (b) l (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48\/491 + 69637\/5892. Calculate the common denominator of -65\/2562 and i.\nAnswer: 5124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(99) + -1)*1 + 2))**2.\nAnswer: 216*sqrt(11) + 3600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 74 - 112. Suppose 55*l = -4*l + 3658. Let f = d + l. Does 8 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-11 + 5 + 1)\/(-14 + 15). Let k(v) = -6*v - 4. Let f(x) = -4*x - 3. Calculate q*k(j) + 7*f(j).\nAnswer: 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 + 5*c - 4. Let m be o(6). Is 15 a factor of ((-6)\/(-4))\/((-1)\/m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of -j**4\/24 + j**3\/2 + 6*j**2. Let q(z) = -1. Let x = -4 + 2. Let d be x + 3 + 4\/(-2). Give d*t(y) - 2*q(y).\nAnswer: y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w + 5*w - w = -8*w. Let i(m) be the second derivative of -m + w - m**3 + 3*m**2 + 1\/12*m**4. Determine i(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3374 divided by -241.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.23, 4, 1 in increasing order.\nAnswer: -0.23, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/26 (b) 4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 387 divide 158721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -87317, -2, -4 in increasing order.\nAnswer: -87317, -4, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/8*-5*2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-560)\/(-126))\/20)\/((-444)\/(-93906)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 5*w - 28, 2*w - 3*w + 2*o = -11. What is the greatest common factor of 55 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -60*j**4 - 9625*j**3 - 2*j**2 + 18*j - 1143?\nAnswer: -1440*j - 57750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -163083*g. Let y(w) = 2*w. Determine x(y(q)).\nAnswer: -326166*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u + 1 - 1 + 6*u in the form m + j*u and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27 - -26.93. Let d = 0.01 + p. Let n = -0.06000204 - d. Round n to seven dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n, 1 b, and 1 e when four letters picked without replacement from nnereneleonlbebooeeo?\nAnswer: 28\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 44 + -40. Put j, -2\/19, -4 in increasing order.\nAnswer: -4, -2\/19, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 3 (b) 0.033 (c) -116598 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5612*j**2 - 30923*j**2 - 973*j**2 + 3456*j**2.\nAnswer: -34052*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67901, 135751, 203601, 271451?\nAnswer: 339301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19 and 672818861?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9675.\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -7313128 greater than or equal to -7313126?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (0 - -3) - 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-20)\/(-6) - (-42)\/63. Suppose 0 = f*v - 6*v + 6, -5*b + 5*v - 5 = 0. Suppose b*c = -3 + 11. Let p(u) = u**3 - 3*u**2 - 3*u - 2. Give p(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p + 2. Suppose 14*v - 202 = 22. What is the smallest common multiple of b(0) and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21\/20 in 2, 2\/9, -0.017?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 218 and 50031.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*i**2*n*u**2 - 58928187*i**2*u**3 - 3*i*n*u**3 - 6493*i*u + i + 91*n*u**3 - 3*n - 2*u**2 wrt i?\nAnswer: 4*n*u**2 - 117856374*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, -629 in descending order.\nAnswer: 4, -3, -629","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -3*v + 216. Let y be (-1 - -1)*18\/v. Solve y = 3*n - 4*s - 1, 4 + 16 = -5*s for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**2. Let s(t) = -2*t + t - 10 + 11 - 10*t. Calculate s(y(c)).\nAnswer: -22*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4*0.7\nAnswer: -2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 2, 49, 24\/7, 39?\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*l - l. Suppose -2*s = -4*b + 14, -l*s + 7 = 3*b - 0*s. Suppose -v - 5*a = -4*v + 6434, -6439 = -b*v + 4*a. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (41 + -39)*3\/18.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**1*p)*p)\/p)**(-12\/5)*(p*p**(-2\/5)\/p)\/p**0 assuming p is positive.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14735 and 37835?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*y + 128 = -17 - 416 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 0.5 (c) -528\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 4819?\nAnswer: 4819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 96830845 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14 and 0.23.\nAnswer: -3.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2435037403 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 137 or 138?\nAnswer: 137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -113820 divided by -11382\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*a - 189 = 42 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 9:50 AM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(j\/((j*j**(5\/13)*j)\/j))\/j*j)\/(j\/(j*j**(-13)*j*j*j)) assuming j is positive.\nAnswer: j**(-122\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2166 and 765678.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*j**5 + 1403*j**4 - 14664*j**3 - 36855*j**2 - 196*j + 20580 = 0. Calculate j.\nAnswer: -7\/4, -1, 2\/3, 14, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/16*(-20)\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 173.\nAnswer: 51.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-3 + -8 - -7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-162)\/(-2)*2*(-4)\/(-8). Suppose -i + 362 = y. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**2 - 3*t - 2. Let y(q) = -2*q**2 - 2*q - 2. Let z be (-3)\/12 + (-216)\/(-96). Calculate z*g(a) - 3*y(a).\nAnswer: 2*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*n - 553 + 553 in the form m + q*n and give q.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -20442, -40877, -61310, -81741?\n\"Answer: u**2 - 20438*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 55*d*i*u - 11*d*u + 3*i*u - 15*i - 8*u wrt d?\nAnswer: 55*i*u - 11*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - 0. Suppose -40 = -0*m + 5*m. Let n be (3\/(-4))\/(15\/m). Is n at most as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5468852g to kilograms.\nAnswer: 0.0005468852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 7*k**3 + k + 6. Suppose 21*y + 131 = 5. Let x(o) = -6*o**3 - o - 5. Calculate y*x(f) - 5*h(f).\nAnswer: f**3 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194501 is divided by 12152?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1197)\/114*124\/(-93)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3606)\/601*1\/(-13).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*a**3*o**3*q + 8*a**3*o**2*q - 7*a**3*o**2 - 2*a**2*o**3*q + 13*a*o**3 + 6*a*o**2 + a*o*q wrt o?\nAnswer: -18*a**3*q - 12*a**2*q + 78*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j**3 + 3*j**3 + j**3)*(10373 - 10373 - 169*j).\nAnswer: 169*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 631 is divided by 591?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 11:42 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.121 + 47.879. Let a = t + -48.4. Suppose -2*b - 3 = -9. Put -0.2, b, a in decreasing order.\nAnswer: b, -0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 0.45. Let x = -0.05 - p. What is the second smallest value in -4, x, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h**2 + 6*h**2 - 21*h**4 + 0*h**4 + 56*h**3 - 2 + 22*h**4 in the form r + j*h**3 + u*h**4 + n*h**2 + i*h and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74, -131, -188, -245, -302?\nAnswer: -359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q - 50 = -1400. Calculate the greatest common divisor of 45 and q.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14080 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 - 7*p + 6. Suppose 2*w = 28 - 48. Let s = 14 + w. Suppose -24 = -v + s*v. What is q(v)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 550.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 693, -5\/2, -4?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hkp when three letters picked without replacement from {h: 11, w: 1, f: 3, p: 1, k: 3}.\nAnswer: 11\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -246, -244, -242, -240?\nAnswer: -238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18? (a) -1 (b) -3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 - 7*n**2 + 12*n - 6. Give b(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-6 - 0) - ((-1350)\/2250 + 1126\/10).\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 51 = 9*d. Solve -1 = 4*r - 3*y, -d*r - 1 = -y + 6 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*t - 3*a, -2*t + 0 - 3 = 3*a. Suppose 2*i + 0 - 6 = t. Let s(r) = r - 4 + i + 1. Let b(d) = -5*d. Calculate b(s(y)).\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (140*p**3 - 244*p**3 - 152*p**3 - 146*p**3 - 918*p**3)*(-13*p + 4*p - 7*p)*(3 - 5 + 0).\nAnswer: -42240*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/2051378394 and -61\/22.\nAnswer: 22565162334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 9083881, 18167804, 27251727, 36335650, 45419573?\n\"Answer: 9083923*c - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -557 (base 9) in base 5?\nAnswer: -3312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 5*a = -25, -4*a = 3*g - 18 + 3. Put g, 0, 4 in increasing order.\nAnswer: 0, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*i + 151 - 67 = -123 - 326 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*y + 107 + 91. Suppose 19*d = 16*d + y. Find the first derivative of 95*m**2 - 18*m**4 - 9 + d*m**4 - 95*m**2 wrt m.\nAnswer: -48*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/18 and -151\/16380.\nAnswer: 16380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 71 = 2*x, -71*x = -w - 76*x + 28. Calculate the remainder when 521 is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6*2\/(-6) - -3. Suppose 8*n - o - 19 = 0. Solve -4*j + 3*h + 24 = 0, 5 - 26 = -n*j + 3*h for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2164550 and 2.\nAnswer: 2164550","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -105, -209, -311, -411, -509, -605, -699?\n\"Answer: r**2 - 107*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 0) + 52\/44.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/78*(7\/(-10))\/(455\/(-390))\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 232632973.\nAnswer: 503, 462491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47*g + 266*g + 198*g)*(3*g**2 - g**2 + 2 + 0).\nAnswer: 834*g**3 + 834*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 415 + 7717 = 107*u. What is the remainder when 781 is divided by u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.4 + 0.8. Let t = i - 0.4. Which is the third smallest value? (a) -0.09 (b) t (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 9, 42, 111, 228, 405?\nAnswer: 654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 20*o**2 + 30*o + 17. Let b be n(-21). Are b and 1\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2*18)\/1 - -1 - 2 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 4*i, 0 = -2*n + 5*i + 10. Find the second derivative of 4 + 51*a**n + 39*a + 16*a - 76*a - 2*a**4 - 1 + 59*a wrt a.\nAnswer: 1020*a**3 - 24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 0*k = 317. Suppose 5*x = h - 119, 3*h - x + 6*x = k. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34244 (base 7) to base 11\nAnswer: -65a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 + -17. Let c(l) = -b - 3 + 7 - 5*l. Let y be c(3). Is -10 >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15100 - 483161\/32. What is the common denominator of a and 109\/120?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 0.121.\nAnswer: -0.0121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 2 + 8. Let c(t) = -t**2 + 8*t + 7. Find the common denominator of 36\/5 and c(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.243 + 0.2430173. What is p rounded to six dps?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.050365553 minus 103970?\nAnswer: -103969.949634447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/(sqrt(10)\/(sqrt(5) + sqrt(20) - sqrt(5) - sqrt(5)))*-3.\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of -s**6\/40 - 133*s**4\/4 + 871*s**3 + 2*s**2 + s - 430. Find the first derivative of j(b) wrt b.\nAnswer: -9*b**2 - 798","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 7) to base 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + 100220?\nAnswer: 100214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of -31*i**4\/24 - 8*i**3\/3 + 11*i**2\/2 - 34. Let y(k) be the second derivative of v(k). What is the derivative of y(d) wrt d?\nAnswer: -31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25343 (base 7) in base 8?\nAnswer: -15047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h = 4*h - 25. Let k be 2\/(-6) + (-1040)\/(-24). Let b = h + k. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-17)\/(-3) - (-2)\/(-3). Suppose -62 = -b*j - 362. Let u = -36 - j. Calculate the highest common divisor of 6 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16*o**4 - 124.\nAnswer: -64*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13468 to the power of 1\/2, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 + 6. Let x be l(0). Suppose v + 90 = x*v. Let w = -12 + v. Solve k - w*k = -15 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 + 23*s + 79. Let i be o(-19). Sort -42, -5, i in descending order.\nAnswer: i, -5, -42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22315 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 g when three letters picked without replacement from {a: 2, q: 3, g: 3}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*2\/(-24))\/((-2)\/(-2)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 60198274 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2412?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 2 - (0 - (-6 - -3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1197*w**3 + w + 310.\nAnswer: 7182*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 858.4236 meters in centimeters?\nAnswer: 85842.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 5*z + z + 11 - z. Suppose 4*h = -8*h - 84. Let s(m) = -2*m - 5. What is h*s(x) - 3*o(x)?\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qh when two letters picked without replacement from qqhhqhqq.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3049527*q - 3049522*q + 6099049*q - 198*q**2.\nAnswer: -198*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by 30?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -7, 2, -8\/5, 5, -1\/4, -162?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, q: 3, l: 7, s: 2, r: 2, p: 1}. What is prob of sequence sr?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2*c - 1996 = 2*c, 0 = 2*a - 5*c - 1333. Let w = a + -9309\/14. Let h = w + 93\/70. Put -2, -0.3, h in increasing order.\nAnswer: -2, -0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45503?\nAnswer: 45503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.3109213 + -0.4.\nAnswer: 0.9109213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 39, 2, -8, -5 in ascending order.\nAnswer: -32, -8, -5, 2, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1\/2447 - 7334\/17129. Sort 1, c, -2\/5, -2, -2\/9 in descending order.\nAnswer: 1, -2\/9, -2\/5, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/21*3 - -3\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nm when two letters picked without replacement from {m: 1, n: 2, s: 2, b: 4}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12773 + 67*s**4 - 6401 + 0*s**3 + 115*s**2 - 6390 + s**3 wrt s.\nAnswer: 1608*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-10)*-10 - -3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.68662 tonnes in micrograms?\nAnswer: 75686620000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of -5*u**3\/3 - 315*u**2\/2 - 310*u + 37. Factor c(o).\nAnswer: -5*(o + 1)*(o + 62)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 256033.213 + -256035.51300011. Let c = -2.3 - y. Round c to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 9*t - 3*d + 83 = 0, -37 = -t - 4*d. Suppose -2127 = -t*o + 1409. What is the remainder when o is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 2*x + 12 = 0, -3*j - 3*x + 1 = -2. Solve -3*n = -j*k - 2*n + 15, -5*k - 10 = 4*n for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 2*u - 2*c = -14, 0 = -3*u - 5*c - 3 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15\/(-6)*(-14)\/5. Let s(c) = -c**3 + 9*c**2 - 6*c + 2. Is 15 a factor of s(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = o + 4*b - 2, 0 = -2*o - 2*b + 4. Suppose -2*x - 4*g + 9*g - 10 = 0, 5*x - o = -3*g. Solve x = 4*v + v - 20 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 128554 and 22?\nAnswer: 1414094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 59 - 58. Is 1358 + (4\/u - (-2 - -3)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1356 at most as big as 1354?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate m*u**3 + 97085*m*u**2 - 2*m*u + 6*m + 67747681*u**3 with respect to m.\nAnswer: u**3 + 97085*u**2 - 2*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, s: 1, z: 4}. Give prob of picking 3 g and 1 s.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172312.\nAnswer: 2, 7, 17, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10380, -40264, -89678, -158628, -247120, -355160, -482754?\nAnswer: -629908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p**3 + 5*p**2 - 3*p + 5. Let a(r) = r**3 - r**2 - 1. Let o(q) = 5*a(q) + g(q). Factor o(x).\nAnswer: 3*x*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -4*g**2 - 2*g + 830. Let q(r) = 13*r**2 + 6*r - 2496. What is -7*k(v) - 2*q(v)?\nAnswer: 2*v**2 + 2*v - 818","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/8*(4 - 80). Suppose -c - 105 = -3*g. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-230)*5 - 28086389\/(-437) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-135)\/(-25) + 2\/(-5). Let q = 12191 + -12190.925. Put 2\/5, q, 2, h in decreasing order.\nAnswer: h, 2, 2\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 245, 338, 429, 518?\n\"Answer: -s**2 + 96*s + 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.4 - 0. Let j = 14 + -4. Let a = j - 10.1. What is the nearest to a in 4, -0.5, d?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11079)\/68936*6*2\/(-81)\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2.7 and -137.30424 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ycooosoyo. Give prob of sequence co.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 13 = -4*l - 5, c = 3*l - 6. Solve 3*w + l*q = 5*q + 21, -5*w + 3 = 3*q for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9208 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = 3*a - 6*a. Suppose 30*y = a*y + 7621. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3853.\nAnswer: 3853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -7288*15.57\nAnswer: -113474.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -163357*y**3 - 53945*y**3 - 290795*y**3.\nAnswer: -508097*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5.7 less than or equal to -21458?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(810)*4)\/((sqrt(98)*-1 + sqrt(98))*2 + sqrt(98)).\nAnswer: 216*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 + -12. Let f = -6 + t. Which is the biggest value? (a) 0.1 (b) f (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-2 - (-15)\/9). Suppose -5*a + 80 = 5*t, 0*t - t = x*a - 46. Is 10 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-1\/3))**(12\/11)*(q**8*q*q)\/(((q*q\/(q*q*q**3))\/q)\/q))\/((q**7*q)\/((q**(1\/4)\/q)\/q))**(-40) assuming q is positive.\nAnswer: q**(4471\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**2 + 17*l - 3. Let c = 5751 + -5743. Determine k(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 10, 0 = 3*y - 2*o - 390 - 1075. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*w**2 + 7532*w - 7530*w - 6 + 3 + 2*w**3 in the form g*w + b + u*w**3 + a*w**2 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 257332914 divided by -128666457\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -3*p**4\/2 + 12*p**2 - 15. Find the second derivative of l(i) wrt i.\nAnswer: -36*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 229284437 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - x - 1464 = 0. Suppose p + p = 2*q - 1024, -2*q = -3*p - 1021. Let j = x + q. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, h: 3}. What is prob of sequence bhb?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37 + 112\/3. Let u = -10 - -21. Let g = u + -16. Which is the third biggest value? (a) -0.5 (b) z (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 54 = -6*m, 43 = 16*v - 20*v + 5*m for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25179.2t to grams.\nAnswer: 25179200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2652*u + 15*u - 1648*u as t*u + j and give t.\nAnswer: -4285","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.01029 times 61860\nAnswer: -636.5394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/385)\/(6\/42)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -336 + 327. Let x(d) = 13*d**2 + 2*d + 11. Let h(c) = 8*c**2 + 8 + c - 3 + 12*c**2 - 14*c**2. Determine n*h(v) + 4*x(v).\nAnswer: -2*v**2 - v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*(-5)\/(-80)*2\/(-5)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -33620*y**2. Let h(l) = -3*l - 12. What is h(i(o))?\nAnswer: 100860*o**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 997704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 + 3*o. Let a be w(3). Let j(i) = i**3 - i + 38. Let l be j(a). Suppose 3*y = y + l. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-3 + (sqrt(27) - sqrt(432)) - sqrt(432)*-4) - -2*(3 + -5*sqrt(48)*-1))**2.\nAnswer: 1264*sqrt(3) + 18787","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1041\/2171 - -3\/167. Which is the nearest to u? (a) -24 (b) 0.5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3613 greater than or equal to -10265?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m - 1. Let f(z) = z**2 - 2*z - 10. Let l(v) = f(v) - 5*k(v). Let a be l(-5). Suppose a*h - h = 84. What are the prime factors of h?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28)*-1)\/sqrt(4))**2 + sqrt(70)\/sqrt(250) + (-5 + 0 + sqrt(7) - sqrt(63)*-5).\nAnswer: 2 + 81*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.05, 4\/5.\nAnswer: -2, -0.05, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + 0)\/(15 - 14). Let p(i) = i**2 - i + 62. What are the prime factors of p(f)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 69015*j**2*m**3 + 26*j**2*m + j**2 + 4*m**2 + 2*m wrt m?\nAnswer: 414090*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (3*(-5*(1 + sqrt(1377)) - sqrt(1377) - (sqrt(1377) - ((sqrt(1377)*-1 - sqrt(1377)) + 4)))*-2)**2.\nAnswer: 5832*sqrt(17) + 4015363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 1 + 3 + -12 + 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 5 (c) 0.3 (d) -0.17 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -138*i**3*v - 8*i*v**2 + 2*i*v - 11*v**2 + 2*v + 28 with respect to i.\nAnswer: -414*i**2*v - 8*v**2 + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7*4\/280)\/((-2)\/(-5)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -246 by 41.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3298750241?\nAnswer: 71, 46461271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5229 + 5231. Solve 3*o + 5*x = 8*o - 40, h*x = 5*o - 28 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1314 + 1314 + 189078*c - 189075*c.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 7 + 15*t - 11*t + 3. Let f(q) = q + 3. What is 7*f(s) - 2*g(s)?\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v**3 + 0*v + 8*v - 2*v - 6*v.\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**2 + 83*y + 30 + 11 - 83*y.\nAnswer: -y**2 + 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2*o - 4)*(3882 + 1571*o**4 - 3882) + (o**3 - 3 + 3)*(2*o**2 - 3 + 3) + (-2*o - 5*o + 5*o)*(2*o**4 - 3*o**3 + 3*o**3).\nAnswer: 3140*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 61*b + 844. Calculate r(-22).\nAnswer: -498","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.012512 - 27.\nAnswer: -27.012512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3190 + 5519 = -1384*a - 11511 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do 39372 and 39378 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/4*2680\/(-12). Suppose 2*v = -3*v + o. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -232 - -233. Which is greater: 26\/21 or h?\nAnswer: 26\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -245 - -244.5. Let c = -8 + 5. What is the nearest to -2\/7 in 5, c, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.625685 rounded to two dps?\nAnswer: 3.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3243 - 3242. What is the nearest to h in -2, -0.4, -1.9, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9 - 2c1a?\nAnswer: -2c26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 66517, 132840, 199163?\n\"Answer: 66323*z + 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2149654907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1307, -2616, -3923, -5228?\n\"Answer: y**2 - 1312*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 2878627870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 16 + 6 = 0. Suppose 40 = u*y - 222. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116946779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2939748*z. Let j(m) = -m**2. Give j(w(q)).\nAnswer: -8642118303504*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 21270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_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 d(c) be the second derivative of 15*c**5 + 485*c**4\/12 + 155*c**3\/6 - 15*c**2 + 1632*c. What is q in d(q) = 0?\nAnswer: -1, -3\/4, 2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9746*w**2 + 12343*w wrt w?\nAnswer: 19492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 39\/135 - (-4)\/(-10). Let h = 27857.81 + -27858. Sort -1\/4, w, h.\nAnswer: -1\/4, h, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - s + 12. Suppose 18 - s = i. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64 - 762819*p + 64.\nAnswer: -762819*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29014, -58033, -87058, -116089, -145126, -174169, -203218?\nAnswer: -232273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -b**2 - 168086*b + 97487792 = 0.\nAnswer: -168664, 578","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 161347541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19694296 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 132 - 88. Is c a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*w = -33*w - 48. Solve -3*a + 0 = -w for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2461228513?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 7:16 PM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 - 2*a - 3. Let x be v(4). Suppose w - x*w + 2*y = -16, -2*w + 3*y + 8 = 0. Sort -4, w, 6 in decreasing order.\nAnswer: 6, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21361 is divided by 125?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -3*r - 4. Let c(i) = 12*i - 9. Let o(y) = 21*y - 18. Let b(k) = 11*c(k) - 6*o(k). Determine -2*b(g) - 5*h(g).\nAnswer: 3*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o**3 + 7*o**2 - 7*o - 2. Let j(m) = -2*m**3 - 8*m**2 + 7*m + 2. Let a(q) = 3*d(q) + 4*j(q). Let v be 4 - (-6 + 0\/(-6)). Calculate a(v).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hzzd when four letters picked without replacement from {h: 5, j: 1, d: 2, z: 2, b: 1, o: 2}.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -152 less than 2678327?\nAnswer: 2678479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 293\nAnswer: 1\/293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3309349880.\nAnswer: 2, 5, 17, 73, 163, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*x - 585 = -1960 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-240)\/648*6\/(-5). What is the third biggest value in -1\/2, z, 0, 1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + 1 - 2)\/1. Let m be (4\/(-3))\/(2\/g). Suppose -m*t + 9 = -t. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 - (44 - (-27 - -66))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 12:38 AM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -9794095620 rounded to the nearest one hundred thousand?\nAnswer: -9794100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 11:44 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -1*(3 + 1 + sqrt(833)))**2.\nAnswer: 98*sqrt(17) + 882","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 4*n + 135, -5*r = 4*n - 59 - 174. What is the remainder when r is divided by 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, p: 1, e: 2, i: 1}. What is prob of picking 1 e and 1 z?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -155 + 161 + (-10 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4647 divided by 1145?\nAnswer: -4647\/1145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 826 + 3*g + 559 - g**2 + 750.\nAnswer: -g**2 + 3*g + 2135","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (49 - (78 - 5))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 3*c + 96, 4*h = -2*c + 57 + 21. What is the greatest common factor of 44331 and h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -3*x**3\/4 + 101379*x**2\/4 + 86956287*x\/4 + 18416226105\/4 = 0.\nAnswer: -421, 34635","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 36903.2559 rounded to zero decimal places?\nAnswer: 36903","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m - 35 + 55 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2114570561 to the nearest integer?\nAnswer: 45984","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, -0.12, -0.25 in increasing order.\nAnswer: -2, -0.25, -0.12, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in 5, 3, -1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 180\/14*5838\/(-3753).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -93104, -93579, -94052, -94523, -94992, -95459?\n\"Answer: v**2 - 478*v - 92627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 357 is divided by 92?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-104211372)\/(-21) - 4\/14. Let r = s + -3414179415\/688. Let k = r - -764\/43. What is the common denominator of k and 99\/8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m + 2. Let q = -11 + 13. Let k be g(q). Let d = 3 + k. List the prime factors of d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 1:43 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.19563 times 8\nAnswer: -1.56504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173 is divided by 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yh when two letters picked without replacement from dyyyyyhyyyyyyyy?\nAnswer: 13\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19 and 151867?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.552975 rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 7*0.195\nAnswer: 1.365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -135*v**5 + 1047*v**4\/2 - 336*v**3 - 123*v**2\/2 + 9*v = 0. What is v?\nAnswer: -2\/9, 0, 1\/10, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1064543737, -1064543736, -1064543735?\nAnswer: -1064543734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of b**4 - b**2 - 11*b - 6720 wrt b.\nAnswer: 4*b**3 - 2*b - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5393 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.08? (a) -0.4 (b) 2 (c) -9\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*a + z = -21*a + 1, -a + 5*z = 11. Let d be (a\/(-2))\/(7*(-1)\/(-8918)). What is the greatest common divisor of 13 and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 25.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 1114778870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 152419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.4, -41, -9491, -7\/6?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 30 = -26. Calculate the greatest common factor of 70 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -5*w + 8 - 23, 4*w + 1 = -3*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 3\/230?\nAnswer: 3\/230","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 38*s**2 + 14*s - 47. Is d(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 406 is divided by 383?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 n when two letters picked without replacement from {n: 1, e: 2, k: 1, m: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 1 + 0)*(4 - 3 + 2) - 2 + 5 + 1)*(2*c**2 + 0*c + 0*c) + c**2 - 3*c**2 + 0*c**2 + (2 - 4 + 3)*(3*c + c**2 - 3*c) as h*c + v + g*c**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.38401248 rounded to one decimal place?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 2*l**5\/7 - 256*l**4\/7 + 4188*l**3\/7 + 36608*l**2 + 286286*l = 0?\nAnswer: -13, 0, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-9 + 7 - -1)\/(2\/(-20)) and 9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 5:05 PM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1955 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 34691 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 984.96 - 969. Let w = t + -16. What is the second smallest value in -3\/5, w, -2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -428, -553, -770, -1085, -1504, -2033, -2678?\n\"Answer: -v**3 - 40*v**2 + 2*v - 389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -11047 < -11048?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*d + 480*d - 8 = -2*z + 411*d, 12*z = 3*d + 48 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by 9089\nAnswer: 8\/9089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + b + 2 = 0, -4*r = -0*b + 4*b - 16. Suppose -r*g - 8 = 0, 5*w - 7609 + 904 = 5*g. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 24961, 49916, 74863, 99802, 124733?\n\"Answer: -4*k**2 + 24967*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5384726 + 11186\nAnswer: -5373540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -360 divided by -5?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-2 + 1) - (-69 - -70)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/650 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*z = 147*z - 410*z - 551*z + 37050 for z.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8726*z**3 - 2*z + 953.\nAnswer: 52356*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - 9*i**2 - 8*i + 2. Let p be h(-8). Suppose -v + 9 = p*v. Suppose 4*y = 3*d + 30, -v*y + 6 = -y. Which is smaller: d or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/100)\/(1\/(-4)). Let l = f - 29\/50. Let t(n) = n - 10. Let v be t(9). Is v not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rirr when four letters picked without replacement from rriiriiriiiiii?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.384 times -424\nAnswer: -162.816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3760, -7602, -11592, -15802, -20304, -25170, -30472, -36282?\nAnswer: -42672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 4, t: 10}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*x - 115*x + 70*x = -76 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 155, 876, 2087, 3794, 6003, 8720, 11951?\nAnswer: 15702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 - 2*w - 4. Suppose -5*k - 5 = 15. Let j be 1\/4 + 5\/k. Let f(i) = -3. Let v(u) = -4. Let n(h) = -7*f(h) + 5*v(h). What is j*l(m) - 5*n(m)?\nAnswer: -m**2 + 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 4*b - 9. Let t(w) = -1 - 30*w + 32*w - 3. Let z(v) = -4*f(v) + 9*t(v). Let o(d) be the first derivative of 19*d**3\/3 + 399. Calculate z(o(a)).\nAnswer: 38*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 8*l + 171. Let g be b(-21). Let y be (2\/20)\/((-6)\/(-15)). Put y, g, 4 in descending order.\nAnswer: 4, g, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 13*o**2 - 5*o + 1. Let f be t(-2). Let u be 2\/7*(-1 + 14\/f). Which is the smallest value? (a) 5 (b) u (c) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1855?\nAnswer: 5, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 7:43 AM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41740790 by 65.\nAnswer: 642166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -320, -317, -314, -311, -308, -305?\nAnswer: -302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118\/3*d + 2\/3*d**4 - 122\/3*d**2 + 118\/3*d**3 + 40 = 0.\nAnswer: -60, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -537, -26, 4?\nAnswer: -537","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16279 + -11329. What is the highest common factor of 198 and k?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*i - 18 = 5*i + 3*p, -p - 2*p - 18 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*n = -86*n + 66 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4849527799 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 3*z**2 + 2*z - 1. Let m(v) = -4*v - 5*v + 8*v - 4*v - 3*v**2 - 1. Let q be (-3)\/6*2*2. Let s be m(q). Calculate g(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 2.6. Let w = 0.02 + 0.58. Let x = w + -1. Which is the third smallest value? (a) r (b) x (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -80045\/11 + 7263. Let r = -1007\/88 - d. Calculate the common denominator of -113\/6 and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) - -3*sqrt(119)*1) + (sqrt(119) - -2*sqrt(119))*-1)\/(sqrt(1008) - (-4*sqrt(1008)*-1 - sqrt(1008))).\nAnswer: -sqrt(17)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 55760 rounded to the nearest one hundred?\nAnswer: 55800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/5 of a microgram in nanograms?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 94*u**3 + u**2 - 3*u + 34. Let j(g) = -g**2 - 1. Let v(k) = j(k) + o(k). What is the second derivative of v(s) wrt s?\nAnswer: 564*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbhqhbhqhbbbq. What is prob of picking 2 q?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 595, 610, 649, 724, 847?\nAnswer: 1030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -6*p**3 + 2*p + 7. Let b(i) = -3*i**3 + i + 3. Determine -7*b(n) + 3*z(n).\nAnswer: 3*n**3 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 585729 - 4109100\/7. Let m = -1281 - v. Find the common denominator of 41\/2 and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -5*h**3 - 10*h**2 - 7*h + 18. What is q(-2)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 228 + -226. Solve 4*v + g = 6*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 11:14 PM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 33*y**2 + 325*y - 13129. What is j(25)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -358 - -321.8. What is q rounded to zero decimal places?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*q - 2*q, -4*q = -4*n - 4. Let r be (n*(-2)\/(-12))\/((-1)\/3). What is the closest to 2 in r, -0.14, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13.8 + 9.5. Let t = r + 4. Is t at most 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 1152?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z**2. Let s(b) = -b - 24. Let x(w) = -70*w + 122. Let r(p) = 5*s(p) + x(p). Give r(t(h)).\nAnswer: -225*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9.9 + 0.9. Let n = -8.9 - j. Which is the closest to 2\/7? (a) -1\/2 (b) -5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -193476000 = 94*z - 2*z. Round z to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 - 3.2. Let o = 2 + n. Is o less than or equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -u**7\/2520 + u**6\/144 - u**5\/40 - 5*u**4\/12 - 10*u. Let g(r) be the third derivative of d(r). Calculate g(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*d - 22*d = -1800 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3401942234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - j. Let c(l) = 29*l**3 + 5*l**2 - 23*l - 5. Let y(m) = 43*m**3 + 7*m**2 - 35*m - 7. Let o(a) = -7*c(a) + 5*y(a). What is -42*g(r) + 3*o(r)?\nAnswer: -6*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14\/(-77) - 402\/(-33). Suppose t - 8 - o = 0. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 8*r**3 - 6*r**2 - 19. Let x be b(-4). Let k = 236 - x. What is the hundreds digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 3*b**2 - b + 3. Let q be s(-3). Let y = 190 + -218. Let n = y - q. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -52 and -4.1.\nAnswer: -56.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**4\/2 - 1403*y**3\/2 - 702*y**2 = 0.\nAnswer: -1, 0, 1404","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**2 - 2*v + 5. Let h(a) = -55*a**2 - 5*a - 3. Let f(q) = -69*q**2 - 6*q - 4. Let i(w) = -4*f(w) + 5*h(w). Calculate -3*i(p) + m(p).\nAnswer: -p**2 + p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -17*q + 20*q. Suppose 3 = -j, -q*c + 3*j - 13 = 4*j. Let t(u) = 4*u + 2. Let x(k) = 0 - 9*k - 3 - 2 + 1. What is c*x(d) - 5*t(d)?\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((sqrt(931) + 1)*-4)**2 - sqrt(931)) + 3.\nAnswer: 217*sqrt(19) + 14913","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 5 (c) -0.1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + -1)*132\/(-18). Is -7 > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 2443627 = 37*o - 34*o, 5*n - 3054420 = -19*o. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + -27 + (22 - 0)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/1203 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - z + 19. Suppose 2*v = -3*v. Is m(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4 = 5*o + 10, -5*t - 70 = -3*o. Let v(f) = f**3 - 2*f**2 - 4*f - 3. Let l be v(-2). Let g = l - t. Solve 0 = -h - 2*h + g for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/420 and 5\/4767.\nAnswer: 95340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9126 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 76 and 1368?\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7570827074 rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 - 6 = -5*u. Let y(g) be the second derivative of 4*g**3\/3 - 11*g**2 - 8*g - 8. What is the remainder when y(u) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41 (base 12) to base 13\nAnswer: 3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-6*((sqrt(102) - (sqrt(102)*1 - sqrt(102))) + sqrt(102)))\/(sqrt(6) + sqrt(216)).\nAnswer: -12*sqrt(17)\/7 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -466691 + 233148 + 2825*x + 233269 wrt x.\nAnswer: 2825","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -95 - -92. Let j = -614 - -5525\/9. What is the closest to j in -2\/13, k, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1815 and 733?\nAnswer: 1330395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17 take away 1561?\nAnswer: -1560.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.039 + -0.039. Let j = 1058 - 1001. Which is the nearest to w? (a) j (b) -5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 - 3*g + 1. Let o(p) = 3410*p**2 - 135*p + 45. Calculate 45*n(d) - o(d).\nAnswer: -3365*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2579, -20257, -68245, -161699, -315775?\n\"Answer: -2526*d**3 + d**2 + d - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 1092*i**2. Let z(f) = -2*f**2. What is z(t(n))?\nAnswer: -2384928*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, l: 6, v: 1, z: 8}. What is prob of sequence ov?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31995 + 4.79.\nAnswer: -31990.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*t**2 - t**4 - t + 0*t**2 + 3*t**2 + 0*t**4 to the form g*t + h*t**2 + z*t**4 + o*t**3 + y and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -2. Let f = -3 - s. Let t = 0.12 + -0.02. What is the second smallest value in f, 0.4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 133534\nAnswer: -5\/133534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -3794282 bigger than -3794278?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 4\/7, -4\/5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 8*x**2 - 3*x**2 + 3 + 11*x - 3*x**2 + 2*x**2 - 2*x**2. Let c(v) = -v**2 - 6*v - 2. Calculate -6*b(u) - 11*c(u).\nAnswer: -u**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = 5*y + 5 + 15, 4*y = -2*v - 16 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 - -22. Calculate the remainder when k is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 402280691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8c342 + -a?\nAnswer: 8c336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1532?\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 2. Let u be ((-5)\/20)\/((-14)\/16). What is the smallest value in -4\/5, 1\/3, u, i?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -868*c - 176 = -879*c for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(128)*-1*-6 + (sqrt(128) - (0 + (sqrt(128) - sqrt(128)*-2) + sqrt(128)))))**2 + (-6*(2 + (-1 + sqrt(128) - sqrt(128)) + -1))**2.\nAnswer: 10368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + 2*n - 42. Let y be t(0). Let a = -29 - y. Let f = 5 + -1. Solve -a = 3*v - f for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59890 times -0.2?\nAnswer: 11978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, i: 3, j: 3, t: 2}. Give prob of picking 2 j.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (70\/49329)\/((-4)\/(-150)). Let q = 4\/81 - m. Let j = q - -2360\/2871. Is -0.1 at least j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -38 - -39. Solve 2*u - 3*u - 5*v - 4 = 0, -5*u + d = 4*v for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of -h**2\/2 + h + 27. Let i(o) = -2*o. Determine i(k) - m(k).\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 4*i - 3. Let d(y) = 8*y - 5 + 4 - 4. Let r be -10*(-2)\/2*(-12)\/(-24). Let u(q) = r*z(q) - 3*d(q). Let f(t) = 4*t. Calculate f(u(o)).\nAnswer: -16*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 260310 divided by -182.\nAnswer: -130155\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -0.1 (c) 7\/4 (d) 0.05 (e) 6 (f) -0.01\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -8*o**3 - 521786*o**2 + 13441346*o + 3392948 = 0?\nAnswer: -65249, -1\/4, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(1\/4)*d**(-1\/2)*d)\/(d**(3\/7)*d\/(d*d**(-1\/7)))*(d*d\/(d**0\/d*d))**(-6)*d**(-1)\/(d*d**(-2\/19)*d) assuming d is positive.\nAnswer: d**(-7297\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 4*j + 269 = -71, -3*j = -3*c + 204. Is 11 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3, 7212, -20?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-50)\/8225*(-21714)\/3696\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4191?\nAnswer: 3, 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1714678 by 122477.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 4823 divide 709680335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -1) + (-22 - 25) - (1379 + -1391).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**3 - 4*f**2 + 2*f + 2. Let c be d(4). Let q = c - 29. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 + 26. Solve 0 = -y*j - 5 - 5 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -3. What is the derivative of -2*r + a*r - r - 12 - r wrt r?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 5:39 PM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12*i**3 + 3*i*n + 297*n wrt i?\nAnswer: 36*i**2 + 3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 5*h**3 + h. Let z be o(1). Let k be (9\/z)\/((-2)\/(-4)). Let r(d) = d**2 + 2*d - 4. List the prime factors of r(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -19, -23, -29, -37?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1147 - 1143. Let q(x) = 3*x - 6. What is q(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 440 and 278.\nAnswer: 61160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7083787?\nAnswer: 787, 9001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 68.15 to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 192, 582, 1272, 2262, 3552?\n\"Answer: 150*a**2 - 60*a + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (19 - 19 + 22*g)*(4*g - g - g) + (g + 5*g - 4*g)*(2*g - 3 + 3) + 5 - 5 - g**2 as o + a*g**2 + k*g and give a.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 45.81413 + -0.03413. Let j = 45 - m. Let k = 1.62 - j. Sort k, 0.4, 0 in decreasing order.\nAnswer: k, 0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of -h**4\/8 + 35*h**3\/6 + 664*h**2. Determine w(0).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 337702?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*j + 7*j = 18 + 18. Let v(r) = -30*r + 2. Calculate v(j).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82332 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*-998524.\nAnswer: -8986716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 50 or 38?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -51.1 - 158\nAnswer: -209.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1518, 3984, 8114, 13902, 21342?\nAnswer: 30428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**5 - 112*q**4 + 1048*q**3 - 3696*q**2 + 4356*q.\nAnswer: 4*q*(q - 11)**2*(q - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 2\/759, -3, -0.3, 1, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51 + -45 - (-2 + 29)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 7*c**2 + 6*c + 4. Suppose o = 1 + 5. Let p be q(o). Factor 22\/5*y + 4\/5 + 42\/5*y**2 + 34\/5*y**3 + 2*y**p.\nAnswer: 2*(y + 1)**3*(5*y + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-568)\/296 + 1 + 0. Let l = -4\/407 - v. Is l > 1?\nAnswer: False","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 {z: 2, l: 7, w: 3, n: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 - v - 1. Let k(a) = 5 + 7 - 4*a + 0*a + 0*a. Let b be k(19). Let q = -65 - b. Let x(w) = -8*w**2 - 5*w - 8. What is q*x(m) + 6*l(m)?\nAnswer: 2*m**2 - m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -0.1193?\nAnswer: 0.01193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 771a (base 11) to base 15.\nAnswer: 3040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -27*j**2. Let u(d) = 7232*d**2. What is u(v(k))?\nAnswer: 5272128*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, e: 2, p: 2}. Give prob of sequence ppe.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.9477 + 0.4477. Suppose 0 = -3*o + 5 - 2. Let m be 2*(5\/2 - o). Put m, u, 1\/4, -3 in descending order.\nAnswer: m, 1\/4, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31774 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 798629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 959 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 x be (0 - -1) + 47 + -1. Suppose 70*t + 90 = 67*t. Let v = t + x. What are the prime factors of v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1053) + 1 + sqrt(1053))*2*-6 + 2)**2.\nAnswer: 4320*sqrt(13) + 606628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -54 + 62. Is o a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(t**(-1\/4)*t)))**(-7\/2)\/((t*t\/(t*t**(3\/8)*t*t)*t)\/(t\/t**(-6))))**(1\/16) assuming t is positive.\nAnswer: t**(19\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Solve -313*v + 38 = -6*k - 315*v, v = k - 7 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of 2564*r**2 + 4250*r + 5291. Differentiate t(q) with respect to q.\nAnswer: 5128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 - 11*j + 23. Let x(m) = -m. Let i = 15 - 5. Let q be x(i). What is the units digit of f(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2451 or 2444?\nAnswer: 2451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((2 + 1)\/42)\/((-24)\/(-84)). Put 2\/9, k, -1\/3 in descending order.\nAnswer: k, 2\/9, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10718\/1165)\/(9\/(-5)*7\/(-63)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 221, 520, 1005, 1676, 2533?\nAnswer: 3576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 and 14760?\nAnswer: 14760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -767337819, -1534675636, -2302013453, -3069351270, -3836689087?\nAnswer: -4604026904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -406, -406, -350, -208, 50?\nAnswer: 454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1248659 a multiple of 777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 80 + 268 = 2*o, 2*o = c + 348. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w + 2*w + 18*w**3 - 14*w**3.\nAnswer: 4*w**3 + 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5426*h - 4407.\nAnswer: -5426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1623*f**5 - 76*f**4 - 11370*f - 1?\nAnswer: -32460*f**3 - 912*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -4*x - 4. Let w be k(3). Let o = -39\/86 - -1323\/215. Find the common denominator of o and 22\/w + -2 + 1.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(208) + sqrt(208) + sqrt(208) + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -40*k + 4 - 60*k - 41*k + 156*k. Let m(t) = -15*t - 3. Calculate -4*b(x) - 5*m(x).\nAnswer: 15*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*t - 5. Suppose 0 = 2*a - 0*a - 10. Sort a, t, -4 in descending order.\nAnswer: a, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 617198107398 - 13.\nAnswer: 617198107385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4, 0.3, 2\/11, -173?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -156 + -17. Is -173 != s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -69 + 180. Let t = 145 - 108. What is the greatest common factor of k and t?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**10*r**(-33)\/r)**(1\/16) assuming r is positive.\nAnswer: r**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 82b6 (base 13) to base 7\nAnswer: 103443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13015 divided by 6602.\nAnswer: 13015\/6602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-11)\/j*j*j\/j**(-4)*j*j*((j*j\/j**(-20)*j)\/j*j)\/j*j**(4\/13)\/j assuming j is positive.\nAnswer: j**(225\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -122.\nAnswer: 1\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -41014*a + 41240.\nAnswer: -41014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 298223 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 0. Let a be -3 - p*(-1)\/(-1). Let s be 1800\/a*(0 - -200). Round s to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -522*t**3 + 106*t + 3259*t**2 - 3259*t**2 wrt t?\nAnswer: -3132*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 135440027?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1641 + -4?\nAnswer: -1645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 54? (a) 4 (b) 3\/4 (c) -19\/21 (d) 1 (e) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of -2\/3*r**3 + 11 + 1\/6*r**4 + 0*r**5 + 73\/40*r**6 - 3*r**2 + 0*r. Find the second derivative of b(k) wrt k.\nAnswer: 1314*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - 6*y + 6. Let v be i(4). Let p be v\/7 + 184\/56. Suppose -4*r + 3*r = -p. Is r a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -18*z**3 - z**2 + z - 1. Let y = -306 + 392. Let b = -85 + y. Determine x(b).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-36)\/d*d**(-1\/50)*(d\/d**(-12\/17))\/d*(d\/d**(-3\/7))\/d assuming d is positive.\nAnswer: d**(-213519\/5950)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3646 - 1196 - 1210 - 1238 + 7*i.\nAnswer: 7*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j. Let i(t) = -t - 1. Let n be i(-4). Let z(h) = 3 - n + 0 - 2*h. Give s(z(b)).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 + 6*i + 3. Let y(d) = 2*d**3 - 4*d**2 + d + 2. Let j be y(2). Suppose -19 = s - 4*n, -3*s - 4*n = -5*n + 2. Suppose -z = j + s. Give f(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*b + 4*b**2 - 10*b - 2*b**2 + (1420 - 1420 + 23*b)*(-2 - 4 + 4)*(-16 + 16*b + 16) as u + f*b**2 + m*b and give f.\nAnswer: -734","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, o: 5, i: 4, j: 3, l: 3}. What is prob of sequence ol?\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 3*t**2\/5 - 10026*t + 8582703\/5 = 0.\nAnswer: 173, 16537","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78299349 is divided by 1602.\nAnswer: 1599","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 17ab41b (base 14) in base 15?\nAnswer: 1064707","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1804, -1905, -2072, -2305, -2604, -2969, -3400?\n\"Answer: -33*p**2 - 2*p - 1769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -5*b**2. Suppose -4*m + 5*w + 25 = 0, 0 = 3*m + 5*w + 2 - 12. Suppose m*s - 7 - 3 = 0. Let g(z) = -z**2 + 0*z**2 + 5*z**s. Give 6*g(j) + 5*v(j).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 698891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 f, 1 a, and 1 p when four letters picked without replacement from {p: 2, a: 8, f: 1, h: 7}.\nAnswer: 28\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 278 and 34488263?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 169 - 117. Let c be i*132\/(-20)*(-15)\/12. Let d = -277 + c. List the prime factors of d.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 82\/(-533) + 15496\/(-338).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 339854609 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 4*r - 75. Let l be b(25). Suppose -2*c - j = 13, -2*c + l = -5*c + 4*j. Let f(m) = 3*m + 24. Give f(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6152844?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 192 and 914676288.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52805 is divided by 24?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -24\/23 (b) 4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 8664.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + (-2856)\/555 + 2. Let y = f + -2\/37. Let g = -20 - -19. Which is the nearest to g? (a) -2\/9 (b) y (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b**2 + 6497421*b - 129949620 = 0. What is b?\nAnswer: -2165827, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 181738746491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-10)*x**(-3))\/(x**(-3)*x**8\/x) assuming x is positive.\nAnswer: x**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 633 is divided by 163.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13839213049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 200733840 and 2880.\nAnswer: 802935360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186536 = 1575*d - 1922*d - 2984*d for d.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 347150 and 92697?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 27*t - 2. Let p be s(4). Suppose 4*x + x = 5*l - 270, -2*x - 3*l - 98 = 0. Let y = x + p. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -40 - (4 + -1 + (24 - 37)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2*y - 25 = -g, -5*g - 3*y + 41 = 0. Let w(q) = -3*q - 6 + 9*q**3 - 2*q**3 - 3*q**3. Let t(x) = -x**3 + x + 2. What is g*t(f) + 2*w(f)?\nAnswer: f**3 + f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 35 and -0.038.\nAnswer: -1.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -350.167 - -350. Round u to 2 dps.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11880430?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of c**2\/2 + 16*c + 5. Does 5 divide j(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 20\/(-6)*(-18)\/15. Let u be h\/14 + 93\/(-7). Let b = u + 80. Does 14 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 21010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 5:29 AM?\nAnswer: 2:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 1 = -3*b + 4*r, -4*r + 27 = 5*b. Solve -b*o = o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 456179?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + i**2 + i - 1. Let n(m) = -1124*m**3 + 19*m**2 - m + 29. Let l(p) = -3*f(p) + n(p). Let z be l(8). What is z rounded to the nearest 10000?\nAnswer: -580000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, v: 9}. What is prob of sequence vv?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-20)\/35 - -4?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2 - 2 = 0. Let v(p) = -3*p**3 + p**2 - 2*p. What is the units digit of v(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 8*m + 26. Let k(s) = -3*s - 9. Let v = 265 - 254. Calculate v*k(b) + 4*c(b).\nAnswer: -b + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1540\/1484 + (-2)\/53. Let b(q) = -3*q**2. Calculate b(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20*74\/(-7400))\/(3\/5)*105.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o + 21. What is the remainder when 29 is divided by v(3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = y - 148, w - 751 = -5*y + 2*w. Suppose y = -3*o + 8*o. Suppose o*d = 32*d - 320. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 PM and 12:20 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5516334 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.058 and 0.15.\nAnswer: 0.0087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**3 + 95*w + 95*w - 153*w + (4*w - w + 5*w)*(4*w + 2*w**2 - 4*w + (-2*w + 0*w + 0*w)*(-1 - 2*w + 1)) as t*w**2 + j*w + n + y*w**3 and give j.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -322813995 minus -2.971?\nAnswer: -322813992.029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21235 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 45 = h. What is the remainder when h is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = 26*p - 155. Suppose 5*r = z + 9 - 2, 4*z + p = r. Solve 5*j = 3*c - 11, 0 = -j + 2*j + c - r for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -o + 1681, 2999 + 5454 = 5*o + d. Is 19 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-36)*g*((g\/g**1*g*g)\/g)\/g*(g**(4\/11)\/g)**50)**(-2\/9) assuming g is positive.\nAnswer: g**(-136\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 150008587?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 17 divided by -38252\nAnswer: -17\/38252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 2:15 AM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - x**2 + 3*x - 15. Let w be f(3). Solve 7*y = w*y - 10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-8)\/(-6) + (-1)\/(9\/(-240)) and 44.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27084 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - 9*n + 3. Let u be q(9). Solve -w = u - 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9155 divided by -1.\nAnswer: -9155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 5 + -6 + (-4 - -2) + 3\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20560*0.4.\nAnswer: 8224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 468045 divided by -15\nAnswer: -31203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 12660076 to the power of 1\/4, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2956039 or 0?\nAnswer: 2956039","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 76*r - 517. What is t(17)?\nAnswer: 775","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -376*j - 1001*j - 8848 = -64*j - 49*j for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 559389 and 199.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (3*1*sqrt(204) - (-4*-2*sqrt(204) - sqrt(204)))\/(-1*(sqrt(12) + sqrt(972) + sqrt(972)*2)*-2).\nAnswer: -sqrt(17)\/14 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 4*s**2 + 24*s + 7. What is the remainder when (333\/3 - 1) + -2 is divided by o(7)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x - 2 - 9 + 1. What is the units digit of g(13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25.1376 - 0.1376. Sort -1, 0, t, -3.\nAnswer: -3, -1, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5949, 11894, 17839, 23784, 29729, 35674?\nAnswer: 41619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*r - 665 + 1229 = -94*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2011230 (base 4) to base 14.\nAnswer: 3192","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -45660 + 72433. List the prime factors of x.\nAnswer: 41, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15\/181862 or 1?\nAnswer: 15\/181862","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150 is divided by 42?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8022 is divided by 181?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 16\/(-6) - 1\/3. Let g be 148\/8 + 9\/6. Let i be (-58)\/(-70) - g\/50. Put -4\/3, x, i in ascending order.\nAnswer: x, -4\/3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63580783219 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, p: 2, g: 1}. Give prob of sequence pg.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/2*(-1 + 4)*(-36)\/(-756).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -10.46 - 43004283513\nAnswer: -43004283523.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 40*j**2 + 72*j + 144. Let o(q) = q**2 + 2*q + 4. Let y(b) = 2*h(b) - 72*o(b). Let g(u) = 2*u + 15*u**2 - 14*u + 12*u. Determine y(g(n)).\nAnswer: 1800*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 11 + 31 + -80.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139*k**3 + 552 + 2*k + 557 - 1109.\nAnswer: -139*k**3 + 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 463. Let y(r) = r + 445. Give 2*b(i) - 3*y(i).\nAnswer: -3*i - 409","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26 * -18.6.\nAnswer: 483.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20410 = -3*q + p - 20437, -4*q - 4*p + 44 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 798, 880, 958, 1032, 1102, 1168, 1230?\nAnswer: 1288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 1 = -5*t - 2, -t - 9 = -2*x. Let o be (-3)\/(-1 - 2\/4). Put t, 5, o in descending order.\nAnswer: 5, o, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 4*i - 9354, -34*i + 1890 = -g - 38*i. Which is greater: -1873 or g?\nAnswer: -1873","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 10:15 AM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -29, -70, -121, -182, -253?\n\"Answer: -5*v**2 - 26*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9801351 - -72664351. What is h rounded to the nearest one million?\nAnswer: 63000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2339 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7431 and 675?\nAnswer: 1671975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 155 = 150. Let y be 2*((-774)\/(-4))\/3. Let i = z - y. Calculate the greatest common divisor of i and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -25564*k**3 + 18*k**2 - 100*k - 40. Let c be g(22). Round c to the nearest one million.\nAnswer: -272000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/8)\/(33\/(-88)). What is the third derivative of -18*y**4 + 9*y**2 - 4*y**2 + q*y**4 wrt y?\nAnswer: -384*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -129 - -111 - (12 + -59).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 94338*c**5 - 42*c**3 + 9273*c**2 - 130*c + 1.\nAnswer: 5660280*c**2 - 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = n - 4*i, 619*n = 624*n + 5*i - 35 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 6 (b) -0.384 (c) -0.162 (d) -0.3 (e) 7 (f) -5 (g) 4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001000010101100 (base 2) in base 10?\nAnswer: -37036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of z**4\/12 - z**3 + z**2\/2 - z. Let d(k) = -k**3 + 7*k**2 - 6*k - 2. Let b be d(6). Let w = 2 - b. Determine l(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -58 times -0.06\nAnswer: 3.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + -1 + -4 + 5. Let m(r) = -163*r - 3. Let k be m(-6). Suppose -5*n - k = -5*x, 3*x - 515 - 42 = -i*n. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 4*f = 24 - 58, -t = 5*f + 20. Let o be 5 + (0 - 2) - t. Suppose -2*x = 8 - o, -2075 = -5*h + 4*x. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2 = 4. Does 15 divide 38 + 9\/(-3) + z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -66\/2423, 0.2, -6\/5, 2?\nAnswer: -66\/2423","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 + -23. Let g(x) = 4*x + 0*x**l - 3*x + 2 + 2*x - x**3. What is g(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.274 + -0.274. Which is the closest to 2\/5? (a) -18 (b) 0.4 (c) n (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 87264 (base 12) to base 2\nAnswer: 101011100010101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 138006 and 138010 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f + 25, 2*l + l + f = -1 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -23691.378 from -1232272.\nAnswer: -1208580.622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 - 5.1. Let v = 100929.5 + -100929. Which is the second smallest value? (a) 4\/3 (b) -2 (c) g (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -188940, -188937, -188934, -188931?\nAnswer: -188928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 e, 1 h, and 1 r when four letters picked without replacement from {c: 1, h: 2, r: 4, e: 3, p: 2}.\nAnswer: 16\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -3*q**3 - 3*q**2 - 6*q + 57. Let p be b(4). Let s be (30981\/p)\/(2\/(-12)). Round s to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 8. Suppose 2*f + 2 = -m. Let h = 2 - f. Solve -b + h = 2 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 1:37 AM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 40292 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: Let z(b) = -7*b - 9. Let c be 29 + (-3 - -7) - (1 - 1). Let j(m) = m + 37 - c + 2*m. What is 9*j(l) + 4*z(l)?\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 70758421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -61144, -122292, -183442, -244600, -305772, -366964, -428182?\n\"Answer: -i**3 + 5*i**2 - 61156*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-7)*(-14)\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m - 7. Let l = 6295 - 6286. Determine i(l).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of u**7\/42 - u**6\/15 - u**5\/10 + u**4\/3 + u**3\/6 - u**2 - 231*u. Factor g(q).\nAnswer: (q - 2)*(q - 1)**2*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.3863224 and -75615.\nAnswer: -75615.3863224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, x: 6, r: 1, w: 6, k: 1, n: 2}. What is prob of picking 1 x, 1 m, 1 n, and 1 r?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/27*1*3. Let y = 3 + -5. Let x = -0.5 - -0.3. Which is the nearest to -1\/2? (a) y (b) x (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -3352206?\nAnswer: 3352205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 11:42 PM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 2231313113?\nAnswer: 2231313102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2320*i*s**6 + 3*i*s**5 + 353*i*s + 5*i + s**2 + 3*s wrt s.\nAnswer: 278400*i*s**3 + 180*i*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 + 7*g + 3. Let l be ((-1)\/(-3))\/(1\/(-12)). Give r(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 38*a**2 + 4*a - 20*a**2 - 4*a in the form h*a + w*a**2 + u and give w.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -2*n**4\/5 - 94*n**3\/5 + 3096*n**2\/5 + 28768*n\/5 + 60032\/5 = 0.\nAnswer: -67, -4, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/2 - 3*d**2 - d\/2 + 15.\nAnswer: (d - 5)*(d - 3)*(d + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1434, -5769, -12988, -23085, -36054, -51889?\n\"Answer: j**3 - 1448*j**2 + 2*j + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 215*n**3 - 652093*n**2 - 658376*n - 6068.\nAnswer: (n - 3034)*(n + 1)*(215*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 162 or 160?\nAnswer: 162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of 28*y**3\/3 - 3*y**2\/2 - 16*y. What are the prime factors of q(1)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 203 - -13462?\nAnswer: 13665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3 - 2784*y**2 + 423864*y.\nAnswer: 2*y*(y - 1218)*(y - 174)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67.69761 micrograms to grams.\nAnswer: 0.00006769761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8553267823 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 111131108 and 88?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -18\/18227 and 65\/2874?\nAnswer: 52384398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.09 - -113.91. Let x = j + -115.5. Which is the second smallest value? (a) -1\/10 (b) x (c) -0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6 and 217361.\nAnswer: -1304166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/3*-3 - 14\/(-5)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l - 4. Let c be g(7). Suppose s - 6*s = -c. Is 15 a factor of 56\/s + 2*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -60.8058468 - 0.1940892. Let p = 1.176 - -59.824. Let h = d + p. Round h to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 420, 851, 1292, 1749, 2228, 2735, 3276?\n\"Answer: a**3 - a**2 + 427*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16459?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*b*g*t**2 + 30*b*g*t - b*g - 2*g**2*t + 50*g**2 + 172 with respect to t.\nAnswer: -8*b*g*t + 30*b*g - 2*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 46633.5 + 0\nAnswer: 46633.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 780*x**3 - 143*x**2 - 143*x. Let i(b) = 11*b**3 - 2*b**2 - 2*b. Give 143*i(w) - 2*z(w).\nAnswer: 13*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14 + -0.01.\nAnswer: -14.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.23 + -0.73. What is the closest to -2 in 0, p, -2, -0.03?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 15 = 5*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -6*p - 2997. Let k(u) = -3*u + 5. Calculate k(r(j)).\nAnswer: 18*j + 8996","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1069017*z**3 + 3*z + z - 3*z - z - 1069026*z**3.\nAnswer: -9*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*a**6*n**2 - a**5*n**2 - a**2*n**2 + 1074*n**2 wrt a?\nAnswer: -720*a**3*n**2 - 60*a**2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -48 - -51. Let b = -1 + 1. Let g = b + 0. Solve 3*a - d = -g*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7, 1302\/41, -3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 64*d - 41. Let m be w(7). Calculate the highest common divisor of 37 and m.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 4\/3 (b) -2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -114 + 1024\/9. Let d(p) = p + 1. Let s(o) = -8*o - 55. Let l(u) = 5*d(u) + s(u). Let w be l(-15). Is w <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -57*g**2. Let a(b) = -954465*b. Calculate a(i(v)).\nAnswer: 54404505*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -272, -1029, -2298, -4073, -6348, -9117, -12374, -16113?\n\"Answer: l**3 - 262*l**2 + 22*l - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/20 and ((-2)\/(-8))\/(3\/474).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 - 3*m**2 - 5*m**3 + 5*m**3 + 2*m**2 + 2*m - 2*m**4 to o*m**3 + g*m**2 + n*m + t*m**4 + j and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/(-2) + 4\/(-8). Let k be 162\/42 - w\/(-14). Let j(a) = 27*a**2 + 2*a + 3. Is j(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (44 - 16) + -22 + 6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 5, 880, 1, 5\/3 in ascending order.\nAnswer: -2\/11, 1, 5\/3, 5, 880","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 14) to base 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*h + 3*b, -2*b - 4 + 12 = 0. Suppose 0 = 6*i - i - 155. Calculate the remainder when i is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 + -41. Let j = f + 20. Let z(c) = -c**3 + 6*c**2 + 7*c + 6. Determine z(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - i - 66 = 0, i - 8 = -3*i. Suppose l + p - 4 = 9, -4*l = -3*p - f. Is 7 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of p**6\/120 + p**5\/15 - 7*p**4\/24 - 5*p**3\/3 + 3*p**2 - 7. Factor j(g).\nAnswer: (g - 2)*(g + 1)*(g + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - o + 2)*(10 - 19 + 1) to w + k*o and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in 0.391, 1\/3, 2\/389, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m\/(m*m**(1\/2)))**(1\/2)*m**(-1\/4)*m**(-2\/5)\/m)\/(((m\/m**(-7))\/m)\/m*(m*m\/m**(-1\/4)*m)\/m)**36 assuming m is positive.\nAnswer: m**(-2979\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/(sqrt(9)\/sqrt(3))*3 + -1)**2.\nAnswer: -6*sqrt(11) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12760 - -0.039?\nAnswer: -12759.961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.122061 to 0 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29 + 5787*d + 543*d + 4 + 25 to r + v*d and give v.\nAnswer: 6330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p - t + 6, 2629*p + 4*t + 32 = 2627*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (d**2 - 2 + 2)*(23*d**2 - 4*d**2 + 11*d**2) in the form b + w*d**2 + n*d**3 + g*d**4 + l*d and give g.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(160\/3))\/(417\/278).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -388 (base 9) to base 11\nAnswer: -274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(1*2\/(-5)). Let t = -3372 + 3371. What is the nearest to t in -36, r, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 264162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -a**3\/3 + 14*a**2\/3 - 8*a = 0.\nAnswer: 0, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*g**2 - g**4 - 11*g**3 + 3*g**4 + 16*g**3 as k*g**3 + t + y*g + v*g**2 + x*g**4 and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 44*b**2. Let g(q) = -466667*q**2. Calculate g(j(s)).\nAnswer: -903467312*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n*n**(2\/19)))**14 assuming n is positive.\nAnswer: n**(-294\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 j when two letters picked without replacement from orldj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*l = -32*l - 6. Let u be (6*3\/(-12))\/(l\/4). Sort 5, u, 1\/3, 0.5 in descending order.\nAnswer: 5, 0.5, 1\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.08687 litres in millilitres?\nAnswer: 11086.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1848799 to the power of 1\/4, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 37604461 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-10)\/p**(1\/3))**(25\/6)\/((p*p\/(p**1*p))**(-40)*p**3\/(p\/p**2)) assuming p is positive.\nAnswer: p**(-847\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of -v**9\/15120 + v**8\/4200 - v**3\/6 + v. Let c(m) be the second derivative of n(m). Factor c(b).\nAnswer: -b**4*(b - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2)\/u**(-13)*u**(4\/5)*u**18 assuming u is positive.\nAnswer: u**(149\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2606 by -23.\nAnswer: -2606\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1117232813 + -22.21\nAnswer: -1117232835.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*j*o**2*q**3 + j*o**2*q - 117*j*o*q**3 + 4*j*o*q**2 + 20*j*q**3 - 6*j*q - 2*o*q**2 - 2*o*q wrt q?\nAnswer: -12*j*o**2 - 702*j*o + 120*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 1)*(-2*o + 4*o - 3*o)*(0*o + o**2 + 0*o + (0*o**2 + 2*o**2 + 5*o**2)*(-3 - 2 + 3)).\nAnswer: 13*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*y**2 - y**2 - 3*y**2)*(44 - 44 - 10*y) + (0*y**3 + 3*y**3 - 4*y**3)*(1 - 3 + 3) - 4*y**3 - 1 + 1 to the form q*y**3 + d*y**2 + m + u*y and give q.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/5 + 69\/(-60). What is the smallest value in -2\/9, y, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 - 18 - 6*q**2)*(2 - 2 + 2*q) + 291*q - q**3 + 32*q**3 - 30*q**3.\nAnswer: -11*q**3 + 291*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 - 7*p - 1. Suppose -2*w + 18 = -5*w. Let q be u(w). Solve -3*n + 6 = 4*s - q*n, -3*n - 15 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1292743 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3539 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32059716*n**5 - 9*n + 530041?\nAnswer: -641194320*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 30 = -3*w, -2381*w + 2*c = -2378*w + 10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -92 + 97. Solve 0 = 5*g + 4*k + 11, 9*k = r*g + 4*k + 20 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250860 is divided by 51?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 118278649 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 - 0. Let v be (3\/2)\/(3\/(-4)). Let y be 28\/(-48) - v\/6. What is the nearest to d in 4\/3, y, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.5 - -4.5. Let t = -3\/53 + 277\/212. Which is the third biggest value? (a) 0.02 (b) t (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 187, 359, 531, 703, 875?\n\"Answer: 172*b + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 8 - 6)*(-x**2 + x**2 + x**3).\nAnswer: -11*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, -14, -62, -136?\nAnswer: -236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**5 - 5*i**4 - 8*i**3 - 4*i**2.\nAnswer: -i**2*(i + 1)*(i + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 377002239 a multiple of 809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of -3 + p**4 + 0*p + 1\/3*p**3 + 6\/5*p**5 + 3*p**2. Let x(s) be the second derivative of i(s). Factor x(r).\nAnswer: 2*(6*r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -691384 by -691384.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + -4*2\/(-12). Put 12, -0.2, w in ascending order.\nAnswer: w, -0.2, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -290*o + 4061. What is m(14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1853772091 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 2573.51 micrograms?\nAnswer: 2.57351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f**2 - 7*f**2 + 0*f**2 + 5*f**2 - 3*f**2 + 0*f**2 + (3*f**2 - 2*f**2 + 0*f**2)*(-1 + 2 - 2) + 0*f**2 + 5*f**2 - 2*f**2.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -32499 (base 13) in base 7?\nAnswer: -525645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -232 - -238. Suppose -2165 = m*t - 11*t. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*u - 3*o, 5*u = -2*o - 0*o + 41. Suppose -3*s + u - 24 = 4*f, 5*f - 5 = s. Round f to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-30 + 26 - -1152) + (8\/(-2))\/2 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 179, 476, 743, 980?\nAnswer: 1187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 14982 (b) -2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 4*x = 14, -10 = 55*u - 50*u - 5*x. Let l = 2.3 - -0.7. Sort u, l, 0.6 in increasing order.\nAnswer: 0.6, u, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -444.9551 and -22.\nAnswer: 9789.0122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*c + 98 = -2*x - 74*c, -59*c - 413 = -x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r**2. Let d = -1176 + 1179. Let m(j) be the first derivative of -6 + 0*j**2 + 8\/3*j**d + 0*j. What is t(m(o))?\nAnswer: -128*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 108096 and 1288?\nAnswer: 17403456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 34 + 126 = 0. What is the remainder when v is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - 8*p**2 + 10*p - 20. Give q(6).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -2*j - 6. Suppose 0 = -j*r - 8 + 86. Suppose d + 3*z = 28, 0 = -3*d - 2*z + 54 - 19. What is the remainder when r is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 92 and 7548439?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 2:13 AM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1002220 - 0?\nAnswer: 1002220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 486.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.104? (a) 31\/10 (b) 16\/5 (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -348553 (base 9) in base 14?\nAnswer: -565ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kwzjp. What is prob of picking 1 p and 1 j?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 0*y - 2*p - 26 = 0, -4*y = -4*p - 16. Suppose -45 = -4*h - h. Calculate the highest common factor of h and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2524494?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 18642332057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yeeyyeeyeyeeyyyyyyy. What is prob of picking 1 y and 3 e?\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of -247*h**7\/7 - 10*h**3\/3 - 13*h**2\/2 + 6*h - 10828. Find the third derivative of r(a) wrt a.\nAnswer: -29640*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -4*a**2 - 4*a - 5. Let z be t(-6). Let m be (-249)\/15 - 6\/(-10). Let b = m - z. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -8*q**3 + 2*q**2 + 294 - q**3 - 295. What is b(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -958799508 - 593.\nAnswer: -958800101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**2 + 500*f + 22780.\nAnswer: -5*(f - 134)*(f + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4787 (base 13) to base 4\nAnswer: 2131202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of s**5\/420 + 115*s**4\/168 + 19*s**3\/7 - 105*s**2 - 2. Factor g(j).\nAnswer: (j + 1)*(j + 114)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -16*f**5\/11 - 464*f**4\/11 - 3583*f**3\/11 - 3107*f**2\/11 + 224*f\/11 + 196\/11 = 0.\nAnswer: -14, -1, -1\/4, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 505975?\nAnswer: 5, 37, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 9*d - 4. Let i be a(3). Let j = i - 15. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2883 is divided by 49.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 15*x**3 - 25*x**2 - 15*x + 25. Let o(k) = -8*k**3 + 13*k**2 + 8*k - 13. Let u(l) = 5*o(l) + 3*q(l). Let u(i) = 0. What is i?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**3 - 1434*h**2 + 28230*h + 1633250 = 0 for h.\nAnswer: -25, 47, 695","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 393\/1441 + ((-824)\/(-132))\/(2\/(-27))\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of 37*d**7\/210 - 7*d**4\/24 - 5*d**3\/2 + 206*d**2. Find the second derivative of m(x) wrt x.\nAnswer: 444*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 667.\nAnswer: -333.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 1448*j + 46. Let z(x) = -10135*x - 345. Let y(u) = 15*a(u) + 2*z(u). Let n(l) = 4*l. What is y(n(b))?\nAnswer: 5800*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert c (base 15) to base 7.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-352)\/36 + 4\/(-18). Let l be ((-24)\/(-10))\/((-4)\/g). Let r = 45 + -21. What is the greatest common divisor of r and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18289845611 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7208 divided by 424.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 0.16.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4493.69937 - 4495.7. Let w = -2 - f. Round w to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1751.55255 take away 0.4?\nAnswer: -1751.95255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -721663 (base 9) to base 11.\nAnswer: -272402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 96 and 1028832.\nAnswer: 1028832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z + 4*z + 4, 2*p = -4*z + 6. Suppose p*c + 25 - 115 = 0. Let t be c*3\/(6 - 3). What is the greatest common divisor of 126 and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t*t\/(t\/(t*t**(2\/33))))\/t**0)**(-2\/3))**46)**(-20) assuming t is positive.\nAnswer: t**(125120\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2148*k**3*x**2 - 1003*k**3 - 16*k**2*x + 134*k**2 - 303*k*x**2 - 3*k*x wrt k.\nAnswer: -12888*x**2 - 6018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-75 + -1)*1)\/(-7 + 5). Suppose -f + 116 = 5*m - o, 3*m = 2*f + 95. Suppose 27*a + 76 = m*a. What are the prime factors of a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of -r**7\/2520 - r**6\/144 - r**5\/60 + r**4\/24 + 7*r**2. Let c(k) be the second derivative of s(k). What is c(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 8870?\nAnswer: 26610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3662\/15 - 244. Let y(p) be the first derivative of -2\/5*p**2 + 0*p - 2 - n*p**3. Factor y(m).\nAnswer: -2*m*(m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 213624.\nAnswer: 213624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7}. What is prob of picking 4 z?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 13260 = -d - 0*r, 3*r - 39780 = -3*d. Suppose 12*o - d = 8*o + k, 0 = -2*o - 5*k + 6608. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15803 - 15803. Let m(w) = -6*w + 45. Give m(q).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 2.412267um?\nAnswer: 0.000000002412267","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -9819.76 and -17068.\nAnswer: -26887.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of 0*q**4 - 1\/3*q**3 + 0*q**2 + 4*q - 41\/10*q**5 + 0. Find the second derivative of z(d) wrt d.\nAnswer: -492*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2238 by -425.\nAnswer: 2238\/425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -32*s**4\/7 + 48*s**3 - 722*s**2\/7 - 426*s\/7 - 8 = 0.\nAnswer: -1\/4, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1140 + -10262\/9. What is the smallest value in 0.2, 5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 684859512 or 684859511?\nAnswer: 684859512","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -29 - d6?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(76)\/(sqrt(12)\/sqrt(3)) + sqrt(152)\/(sqrt(24)\/(sqrt(3) + sqrt(108))).\nAnswer: -2 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -28107*d**3 + 189*d**2 - 189*d + 189. Let f(u) = 598*u**3 - 4*u**2 + 4*u - 4. What is -189*f(m) - 4*h(m)?\nAnswer: -594*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 + 126\/(-27) + (-80365)\/(-78546). Let u = -5\/2014 - k. Calculate the common denominator of u and -77\/195.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, -51, -40, -0.1, 0.3 in descending order.\nAnswer: 26, 0.3, -0.1, -40, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*w - 7*w. Let b = w - -3. Let s(t) = -t. Let i be s(-4). Sort -2, i, b in descending order.\nAnswer: i, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 2*d. Suppose -p = -5*b + 5, -5*p + 17 = -d*p - 4*b. Let z be (-2)\/(-1*1\/2). Put p, z, -4 in descending order.\nAnswer: p, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 44348 or 43749?\nAnswer: 44348","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - 87)\/(0 + -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -6 - 5*m**2 + 8*m - 5*m**3 + 0 + 4*m**3 - 1. Is b(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(77)*-2*3 + sqrt(77) + -6*2*sqrt(77)))\/(6*((sqrt(396) - -3*1*sqrt(396)) + sqrt(396))))**2 + -4.\nAnswer: -127577\/32400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1768233, 1768259, 1768287, 1768317, 1768349, 1768383?\nAnswer: 1768419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*b = 9*b + 6, -r + 2*b = 10 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b**3 + 2*b**3 - 28 - 10)*(-2 + 2 + 2*b).\nAnswer: -4*b**4 - 76*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 3, 0.04326, -5\/7.\nAnswer: -1, -5\/7, 0.04326, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -460 - -460. Solve i = -3*c - c - 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -383 (base 10) to base 7\nAnswer: -1055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9626 and 240760699.\nAnswer: 4813","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 13 - -1181?\nAnswer: 1194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) + (1*sqrt(84) - sqrt(84))*-2 - sqrt(84))\/(sqrt(12) - (sqrt(768) + -2*sqrt(768))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13560, -13542, -13512, -13470?\nAnswer: -13416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1725360 divided by 158?\nAnswer: 10920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 2*i. Suppose -5*k + 4*a - 7 = i, -k + 0*k + 3 = -3*a. Let q = -7 + 11. Put 2, q, k in decreasing order.\nAnswer: q, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2a - 14b63?\nAnswer: -14b8d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + b + 0*b - 5 = 0, -3*b + 15 = a. Let t = -9 + 7. Let k be (6\/(-9))\/(t\/3). Put a, k, 5 in descending order.\nAnswer: 5, k, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 4*r**5 - 160*r**4 + 1600*r**3 = 0.\nAnswer: 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2139664734?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.5 less than -1.651?\nAnswer: 27.849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r + 5. Let s be t(6). Let c = s - -4. Calculate the remainder when (-1)\/(-3) + 11\/3 is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -5*a - 4*l - 249, -410 = 5*a + 5*l. Let f = -64 - a. Let g = 23 - f. Calculate the remainder when 23 is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7616, -7578, -7462, -7226, -6828, -6226?\n\"Answer: 7*f**3 - 3*f**2 - 2*f - 7618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 112 - 244. What are the prime factors of a?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + 5*r + 0*r)*(4*r + 0*r**2 + 3*r**2 - 2*r**2 + 2) + 7 - r**3 - 9*r + 5*r**3 + 28*r.\nAnswer: 6*r**3 + 8*r**2 + 23*r + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 6. Suppose -w = 2*w - 3. Sort l, w, -1 in decreasing order.\nAnswer: l, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 AM and 2:12 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 5*f + 4. Suppose 0 = 43*b - 32*b - 66. Let v(n) = -18*n - 21. Let z(l) = -9*l - 10. Let c(j) = -3*v(j) + 7*z(j). Determine b*c(p) + 11*o(p).\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2621077 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44676980.\nAnswer: 2, 5, 19, 117571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/6)\/(-2))\/((-37)\/222).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19763 + 98817\/5. What is the fourth biggest value in v, 28\/73, 0.2, 3\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 42\/30 + 36\/(-40). What is the nearest to 10 in -1, l, -2\/19?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -276169*-27\nAnswer: 7456563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 198095*l - 396172*l + 198088*l. Let w(s) = 2*s**2. Let h(b) = 2*b**2. Let c(g) = 2*h(g) - 3*w(g). Determine c(y(q)).\nAnswer: -242*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1030, -1040, -1064, -1108, -1178?\nAnswer: -1280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -61*i**3*k**2*o**2 - 2*i**3*l*o**2 - i**2*o**2 - 109*k**2*o**2 + k*l*o**2 - 2*k*o**2 wrt i?\nAnswer: -366*k**2*o**2 - 12*l*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of 0*g**4 + 0*g - 157\/6*g**3 + 6*g**2 - 1\/12*g**6 + 1\/20*g**5 + 0. Differentiate c(o) wrt o.\nAnswer: -30*o**2 + 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40cd99 (base 14) in base 13?\nAnswer: 5b7538","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 3*b - 10 = 0, h + 5*b + 4 = -10 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 4:53 AM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 5*n. Suppose -r = 3*a + 5, -5*a + 4*r = 2*r + 1. Calculate o(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 725 greater than 762?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**2 - p + 1. Let h(c) = 8*c**2 + c. What is 2*b(k) - h(k)?\nAnswer: -4*k**2 - 3*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3*w + 20. Let d be o(6). Find the second derivative of 17*z**2 - 10*z**2 - 2*z - 2*z**d wrt z.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vggggv. Give prob of picking 1 g and 1 v.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 935719.\nAnswer: 935719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-7 + 5 - 4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17958 greater than or equal to 17956?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 902117 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.13046707 to four decimal places.\nAnswer: -0.1305","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 at least as big as -71\/701?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29\/6 - -121\/30. Let g = 7\/15 + t. Let n = -17\/10 - -1\/30. Which is the nearest to -2\/9? (a) g (b) n (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from eooeoooooo.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**5 + s**4 + 3*s**3 - 13*s**2 - 4*s. Let y(m) = -m - 10. Let z be y(-9). Let j(u) = u**5 - u**4 - u**2 - u. Let q(r) = z*d(r) + 6*j(r). Factor q(b).\nAnswer: b*(b - 1)**2*(b + 1)*(5*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 5, -2, 7, 953 in descending order.\nAnswer: 953, 7, 5, 4, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 17218156 and -34102.\nAnswer: 17184054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/7 (b) -2 (c) 2 (d) -2\/11 (e) -116 (f) -8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + -3)\/(5\/(-10)). Let m(j) be the second derivative of -1\/60*j**6 + 0*j**b - 1\/20*j**5 + 0*j**4 - j + 0*j**3 + 0. What is t in m(t) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mkmkmqqmqqqqm. What is prob of sequence qkkm?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gorrvrrrvgorogg. Give prob of picking 1 g and 1 v.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -8118318.\nAnswer: 8118318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000213259038 rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = 2*j + 21, 614 = -4*j + a + 621 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57696403.\nAnswer: 409, 141067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -85, -188, -331?\nAnswer: -514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14616295.\nAnswer: 5, 37, 41, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 1:18 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 1 = -3. Find the second derivative of -3*d**3 - 2*d + d + 2*d**3 + s*d**3 wrt d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -334 + 350 + 4*h**2 + 2*h**2 + 2*h. Is 78 a factor of k(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.396kg in micrograms?\nAnswer: 55396000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -684?\nAnswer: 67c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2156000 rounded to the nearest one hundred thousand?\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 242145863?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-105)\/7)\/(35460\/985).\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -51 (b) 1 (c) -850\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 2, -5 in decreasing order.\nAnswer: 2, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c - 13*c + p + 26 = 0, 0 = 2*c + p - 43. Suppose 0 = u - 0*u. Suppose -5*h + 0*h + 20 = u. Solve h*d = -3 + c for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 6) in base 2?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 95985 - 95569.01. Let n = -416 + c. Put -2\/3, -2\/5, n, 10 in decreasing order.\nAnswer: 10, n, -2\/5, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1015524162 - -1015524178.43129268. Let x = 12.431293 - h. Let t = x - -4. What is t rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180953 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 - 130*b**2 + 612*b + 10140. What is q(-134)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 - 2)*(-4 + 1 + 4)*(-d**4 + d**2 - d**2).\nAnswer: 5*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from {e: 6, d: 4, s: 1, o: 7}?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 19. Suppose 0 = 4*w + 5*h - r, -h = 4*w - 2. Let j(x) = -3*x + 16. Let v be j(4). Solve 12 = -5*b - 3*k, w = b + v*b - 4*k + 19 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 14) to base 16.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 96218 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -480021*s. Let m(h) = -3*h**2 - 130*h. Determine j(m(l)).\nAnswer: 1440063*l**2 + 62402730*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.87 - -4.67. Let m = 0.16 - 0.06. Sort t, m, -24 in decreasing order.\nAnswer: m, t, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 4)*(-96 - 296 + 67)*(0 + 0 + 2*t).\nAnswer: 1950*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9.284741 + 257.806.\nAnswer: 248.521259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 628.3603 hours to nanoseconds.\nAnswer: 2262097080000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2006.\nAnswer: 2, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6*(-3)\/(54\/4). Let f = 1648\/7 - 235. What is the third smallest value in t, -3, f?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 + 7 = g + 2*j, -20*g + 23*g + 5*j + 12 = 48 for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 95 - -48. Calculate the highest common divisor of j and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -7*l**3 - 142*l**2 - 41*l - 21. Let h be i(-20). Which is smaller: h or 8\/1735?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 671\/744 < 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 8:20 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -2518*b**2 - 287*b + 2523*b**2 - 242*b in the form p*b**2 + h + x*b and give x.\nAnswer: -529","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -41 (b) 1 (c) -4 (d) -0.5 (e) 1\/16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 14*k - 2. Let m(y) = -27*y + 4. Let z(r) = 5*j(r) + 3*m(r). Let a be (10\/(-15))\/((-1)\/(-3)). What are the prime factors of z(a)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and -0.183113956148.\nAnswer: -0.083113956148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4432 divided by -20?\nAnswer: 1108\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 995419.7 days?\nAnswer: 86004262080000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46 - 41.6. Let q = -3 + n. Round q to one decimal place.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -1 (c) -1\/68 (d) 49.1 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 - 18*a + 34. Give p(3).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-206017.66.\nAnswer: -61805.298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 - 2*s. What is p(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1203275 to the power of 1\/4, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 5*u**2 + 26*u - 17. Let f(x) = -3*x**2 - 17*x + 11. Determine 8*f(g) + 5*t(g).\nAnswer: g**2 - 6*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.13909ng to tonnes.\nAnswer: 0.00000000000002013909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - -33) + (53694872\/(-24589))\/56?\nAnswer: 2\/367","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2833565, 2833670, 2833771, 2833868, 2833961?\nAnswer: 2834050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6130986*t**6 + 6*t**4 - 34*t**2 + 150114*t + 1?\nAnswer: 735718320*t**3 + 144*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f = -9*f + 475. Let c(j) = -25*j**2 - 6. Let p(k) = -399*k**2 - 95. Let m(q) = f*c(q) + 6*p(q). Let n(l) = 2*l**2. Give n(m(a)).\nAnswer: 722*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 467449339 to the nearest integer?\nAnswer: 21621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2*f + 5*f + 12 = 0, -c + 24 = -5*f. Let u(m) = -3*m. Let s be u(c). Suppose -s*q = -0*q + 6. Put q, -0.1, 0.4 in ascending order.\nAnswer: q, -0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 1)\/((-684)\/(-1314)) + (-4)\/(-1)?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 PM and 4:27 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -667 - 2224?\nAnswer: -288b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**3 - 10868416*n**2 - 7382665015220*n - 14765286556808.\nAnswer: -4*(n + 2)*(n + 1358551)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/7 in 0.1, 0.4, 10, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3929 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -97231691597.39 and -0.3.\nAnswer: -97231691597.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = -394 - 222. Is l a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1644 is divided by 273.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8237996?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 55388589 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42518.\nAnswer: 2, 7, 3037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2742073087?\nAnswer: 13, 23, 398731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-42))\/((-156)\/(-364))*6*(-261)\/1?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120*d**2 + 58*d**2 - 3913*d**3 + 62*d**2.\nAnswer: -3913*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 12 = 0, 22 = 2*s + z + 3*z. Solve -8 = -7*a + s*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.781 - -0.761. Which is the second biggest value? (a) d (b) -49 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-21*t + 51 - 51)*(-38 - 20 - 21) to the form l + x*t and give x.\nAnswer: 1659","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + -7. Solve 5 + 0*v + 0*v - 3*v**2 - p = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 16) to base 11\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1091*t - 1150 = 1045*t for t.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 272398459 is divided by 832.\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jscjcccccccccc. What is prob of picking 1 s and 1 j?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*p**2 + 3 - 2*p**3 + 49*p**2 + 0*p**3 in the form b*p**3 + j + g*p**2 + l*p and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2 - 683043*d.\nAnswer: -d*(d + 683043)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2942 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of 0*u**2 + 97 + 0*u - 1\/2*u**4 + 212\/3*u**3 + 17\/6*u**6 + 0*u**5. What is the third derivative of y(n) wrt n?\nAnswer: 1020*n**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30*y + 198 - 30 + 132 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 88 and 74.\nAnswer: 3256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9476 by 9.\nAnswer: -9476\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q - 8*q - q.\nAnswer: -9*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1339 and 1786213?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -2*k**4\/21 + 124*k**3\/21 + 48*k**2\/7 - 372*k\/7 - 54 = 0.\nAnswer: -3, -1, 3, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*t + t. Let n(o) = t + o**2 + 0*o**2 - 6*o - 2. What is the least common multiple of n(6) and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1395?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3963, 3962, 3961?\nAnswer: 3960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1343321 (base 9) to base 12\nAnswer: -2b6801","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-123 + 123 + 159*m**2)*(307*m - 5 - 320*m + 1).\nAnswer: -2067*m**3 - 636*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/9 of a day in minutes?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69828.\nAnswer: 2, 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -24*n + 8. Let s(t) = -48*t + 17. Let w(a) = 5*d(a) - 2*s(a). Is w(-4) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45864880.\nAnswer: 2, 5, 167, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00066268195 to 5 decimal places.\nAnswer: -0.00066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 - -1710. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94613 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 c when three letters picked without replacement from gcccccccgcgrccc?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmm. What is prob of picking 3 m?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/56*32\/20)\/((-58)\/(-10))?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 45.6307539 - 46.840747815. Let z = -1.21 - w. Round z to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1848704 divided by 4.\nAnswer: -462176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 2:18 AM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9443 a multiple of 126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-184)\/10)\/(-23)*6\/(-4)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*b**3 - 26*b**2 - 36*b**2 + 2826*b + 8*b**3 + 62*b**2.\nAnswer: 2*b**3 + 2826*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*a - 259 = 4*g - 54, 25 = 5*a - 4*g for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 22913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a day in minutes?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-5) - 168\/(-5). Suppose 4*j = 0, 0*j = -4*i + j - 56. Let x = s + i. Calculate the highest common divisor of x and 140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -138 - 9?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-370)\/92 + 4)\/(22\/(-561)) and -53\/46.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 - 15641*j**3 + 85 - 29 - 27.\nAnswer: -15641*j**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 11 + 3*c**2 - 7 + c**2 + 4*c - c**3. Let m(f) = -2*f**3 + 7*f**2 + 7*f + 7. Determine -7*d(p) + 4*m(p).\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 0.4, 2\/11, -5282?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (2 - 1) - ((29 - -7) + -37).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -131 - -213. Let l(j) = 6 - 6 + c*j**2 - 83*j**2. Let f(x) be the first derivative of 7*x**2\/2 - 1. Give f(l(a)).\nAnswer: -7*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9507325 and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 202134 to the power of 1\/2, to the nearest integer?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z + 1. Let p = 162 + -158. Let t(k) = k**2 + k + 1. Let j be t(-1). Let r(q) = 5*q + 1. Let c(m) = j*r(m) + p*b(m). Calculate c(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -2\/7, 14, -16.6?\nAnswer: -16.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 3*g = -3, 4*k + 3*g - 24 = -g for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*t + 29*t - 11*t + 10*t**2 wrt t?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 863490 or 863449?\nAnswer: 863490","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 AM and 9:20 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 + -18. Suppose v*o = 15 + 9. What is the smallest common multiple of 48 - ((-16)\/6 + 2\/3) and o?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 1 + 5. Calculate the lowest common multiple of 19 and 2*(-9)\/((-9)\/x).\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 108*v + 1 = -112*v, -4*i + 2*v = -14. Put 3\/5, i, -2\/15 in increasing order.\nAnswer: -2\/15, 3\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 6. Let z be q\/(-6) + 322\/21. Let o be (-2)\/1*4*-2. Calculate the highest common factor of z and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 5658?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -1\/5 (b) -11\/2 (c) -0.36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15126920 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + 4*y + 6. Suppose 0 = -j + 41 - 17. Let g = 20 - j. Give r(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -283*y + 1671. Determine p(6).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3233715*u**4 + 3367729?\nAnswer: -12934860*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19270.\nAnswer: 2, 5, 41, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 8496 = -4*b, -4*x + 6*x = 4*b + 4278. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 27 + 25 = 0. Suppose -4*s - 6 = -2*s. Sort s, -2, c in ascending order.\nAnswer: s, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 2*w - 4 = 0, -i + 3*w + 2 = w for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 4*q + w, 8*w = 4*q + 5*w - 17. Let n(z) = 13*z + 84. Let y(v) = 27*v + 169. Let f(h) = q*n(h) - 2*y(h). What is the derivative of f(b) wrt b?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 7:54 AM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 25 in descending order.\nAnswer: 25, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 38313*c + 18430.\nAnswer: 38313","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3135090 and 330.\nAnswer: 34485990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b**2 - 1 + 0*b**4 - 2*b**3 - 2 - b**4 to the form y*b + o + j*b**2 + c*b**3 + m*b**4 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/11))**24\/((o\/o**(10\/9))\/(o\/(o*o**11*o))))**9 assuming o is positive.\nAnswer: o**(-961\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*u + 13*u + 127*u + 1071 = 0 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -897*z + 169. Let g(d) = 16*d - 3. Let f(h) = 338*g(h) + 6*o(h). Let t(c) = -7*c**2 + 5*c**2 + 0*c**2. Give f(t(a)).\nAnswer: -52*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 222208 (b) 5 (c) -0.3 (d) -4\/3 (e) -8 (f) -1\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**5 - 6*g**5 - 5*g**5)*(19 - 21 - 41).\nAnswer: 387*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 114964.\nAnswer: -5\/114964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16720 and 1060048.\nAnswer: 3344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -3*y - 16. Let i be (148\/y - -7)\/((-2)\/8). Solve 5*f = 3*f + 5*l + i, -l = -4*f + 9 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**2 + j + 2. Let s be i(2). What is the tens digit of (0 - -30)\/(9\/s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-16)\/(-64) - (-1)\/4*15. Solve 16*v + i = 15*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37228442 and 2896.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 28660026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 9*v**3 - v**2 + 3. Let o(h) = 10*h**3 - 2*h**2 + 4. Let t(n) = 3*o(n) - 4*s(n). Find the third derivative of t(p) wrt p.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(3\/7)\/p*p*p*p**3*p*p)**(-31)\/((p*p**(-2\/3)*p)**(-1\/3)\/(p*p**(2\/3)\/p*p*p\/p**2)) assuming p is positive.\nAnswer: p**(-14438\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m. Let w(p) = -p + 6. Let d be w(3). Let b(q) = 9*q - d*q + 3*q + 18*q. Calculate b(z(u)).\nAnswer: 27*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrtryyrrtrlyartt. Give prob of sequence ayy.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 18*k**2 + 54*k - 20. Let n be y(-14). Solve -2*w - 10 = -9*g + 4*g, -5*w + n = 4*g for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggggggggogggg. What is prob of picking 2 o and 2 g?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 72607373 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p = -10*p - 9. Suppose -2*z + 8 = 0, 4*z = -0*g + 2*g + 2. Calculate the lowest common multiple of p and g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16332 - 16330. Solve a + 4*a - 20 = 5*d, d = 3*a - z for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 divided by -3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/2, -0.3762, -4, -0.0753?\nAnswer: -0.0753","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*t - 5*t, 4*c - 3*t = -196. Let i be 2\/(-4) - (-78)\/c. Suppose -5*o + l = -3*l + 46, 4*o + 4*l + 8 = 0. Sort 0, i, o.\nAnswer: o, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 450013 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + 21*g - 40. What is the remainder when 295 is divided by c(-25)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - -1) + ((-4255)\/90)\/37. Let g = -4\/9 - m. Put -5, 6, 2\/7, g in decreasing order.\nAnswer: 6, 2\/7, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*y + 36 = 92*y. Let d be (5 + -6)\/(y\/(-9) + 1). Solve 0*b = -d*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 989 = -319. Suppose 8*n - 266 = c. What is the greatest common divisor of n and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 4*w = -3263, 5*w + 25 - 10 = 0. Let v = -645 + n. Let o(j) = j**3 - 10*j**2. Calculate o(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.08 + 1.236. Let v = t - -0.007. Let r = v - -0.037. Which is the closest to 0? (a) -5 (b) r (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5421555 divided by -153?\nAnswer: -35435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 125442 and 51.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/233361 and 61\/5805?\nAnswer: 1166805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(720) - (-1 + sqrt(720))) + (6*(sqrt(720) + -2*sqrt(720) - sqrt(720)))**2.\nAnswer: 103683","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 566 is divided by 322.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (62\/(-930))\/((-32)\/1740)\nAnswer: 29\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (((-5)\/(-12))\/((-2700)\/(-576)))\/((-2)\/(-5)). What is the nearest to 0 in -4, 2\/15, l, 132?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35615 by -7123.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144 = 3*r + 2*o, -4*r = -12*o + 4*o + 11*o - 191 for r.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 153?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 20 + 18 - 165 - 21 + 349*u. Does 46 divide f(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5\/(-20))\/((-2)\/6). Sort 4, -6, z in descending order.\nAnswer: 4, z, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -93247.\nAnswer: 6\/93247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 0 + 4)*(-3 + 2 + 3) + 1 + 2 - 2)*(-36*i - 17*i + 14*i).\nAnswer: -195*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112916 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -980*y + 119497 = 732*y + 1067*y for y.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3138 + 3308. Does 8 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 63*t**2 + 39*t + 3. List the prime factors of n(-5).\nAnswer: 3, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 54 - 54.000000535. What is k rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 428965 is divided by 141860?\nAnswer: 3385","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 - 425 = -21*h. Let g = h - 10. Suppose 0 = a - 2*a + t - g, a - 4*t = -21. Is a at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30319961, -30319962, -30319963?\nAnswer: -30319964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 809 is divided by -8*153*(-4)\/48?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 5*t - 45, 0*w + 5 = t + 3*w. What are the prime factors of (2\/(-4))\/(t\/(-688))?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33) - sqrt(165)\/sqrt(5))*-3)\/(sqrt(3) - (sqrt(3) - sqrt(300)*-1) - sqrt(3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/6*(-21)\/210?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {c: 8, v: 3}.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -6\/11 (c) -2\/23 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, -11.1, -2, -2\/3, 0.\nAnswer: -11.1, -2, -2\/3, -0.6, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -9. Let n = -0.58 - -0.28. Let o(j) = -j**3 + 4*j**2 + 6*j - 4. Let u be o(5). Which is the nearest to u? (a) -1\/5 (b) m (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138703066979 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0*2\/6)\/1. Suppose -g = 3*g - 16. Solve -2*x + 1 = 3*q, -g*q + h*x + x = -5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -288 - 396 = 228*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 - 148\/(-3 + 1). Suppose -39 = -3*y + 12. Suppose 5*b = 28 + y. Calculate the greatest common divisor of a and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.715+-19036368896\nAnswer: -19036368896.715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3b1c0 (base 14) to base 3\nAnswer: -21101222212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -446588 (base 12) to base 5\nAnswer: -234330324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 6*d**2 + 15*d + 21. Let m(o) = 7*o**2 + 14*o + 20. Let h(g) = -4*k(g) + 3*m(g). Factor h(n).\nAnswer: -3*(n + 2)*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6121*q**2 + 2*q - 127120 wrt q?\nAnswer: -12242*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1245145602 to the power of 1\/5, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 26 = -5*m, 2*m - 1 = -2*v - 3. Let r = 18 - v. Solve s + 4*s - r = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - 25*g**2 - 2. Let u be x(-25). What is the hundreds digit of (u + 6\/9)\/((-8)\/828)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + 15\/9 - 679\/(-3). Suppose -3*i = -7*h + 3*h - n, h = -2*i + 144. Does 9 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = 1566*l - 1571*l + 45, -l - 3 = 0 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of -f**4\/12 + 127*f**3\/3 + 483*f**2\/2 + 185*f. What is the first derivative of c(v) wrt v?\nAnswer: -2*v + 254","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2550 and 855.\nAnswer: 145350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -117, -2, 1, -3, 5, -29 in increasing order.\nAnswer: -117, -29, -3, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5032 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tgtgtjzgtjzjtjt. What is prob of sequence jj?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p. Let f be q(0). Suppose f = -3*n, 2*u - 2*n = -2*u + 16. Suppose 0 = -4*s - u*t, 5*s = t - 2 + 26. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16334 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -7\/4 (b) 4 (c) 8024 (d) 3\/14 (e) -0.2 (f) 1 (g) 0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/92 and 93\/60766?\nAnswer: 121532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8.322 + 0.442. Let l = t - -8. Let d = 0.08 + l. What is the smallest value in d, -1, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1176513 (base 8) to base 10.\nAnswer: -326987","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 147.41493s in minutes?\nAnswer: 2.4569155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -771*g - 12 = -767*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21322540 (base 8) to base 7.\nAnswer: -53540025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2031113 (base 4) to base 5.\nAnswer: -242142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 164 divide 147108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s. Let l(c) = -95*c + 3. What is 5*g(o) - l(o)?\nAnswer: 110*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a century in months?\nAnswer: 14700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*f**2 - 10*f - 4 + 29*f**2 + 9*f - f**3 to h*f**2 + n*f**3 + l*f + a and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 26*y - 25*y = 12, -3 = t - 4*y for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-1 - 10) + 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40 - 32 - 62 - l + (-1 + 4 - 5)*(l - 5*l + 2*l)*(-2 + 1 - 1) to w + n*l and give n.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3856?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5.03 (b) 2 (c) -3 (d) -10 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29429285*n**3 + 18890*n + 1386 wrt n?\nAnswer: 176575710*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - r**2 + 1)*((-3*r - r + 2*r)*(2 + 1 - 1) - r + 1 - 1 - 2 + 2 - 3*r + r + 0 + 0).\nAnswer: 7*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/49, -16\/3, 4, 3\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 391639921 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -196*l**5 + 23255*l**3 - 20876*l - 221.\nAnswer: -3920*l**3 + 139530*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3057198, -3057201, -3057204, -3057207, -3057210, -3057213?\nAnswer: -3057216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/sqrt(2)*-1 - -5*sqrt(175))**2.\nAnswer: 4032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 109559147?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3424266, 6848529, 10272790, 13697049?\n\"Answer: -n**2 + 3424266*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (861 + -876 + 12 + 0 - (1 - -6)) + 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 6*4*(3 + sqrt(11)) + -2)**2.\nAnswer: 3360*sqrt(11) + 11236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 74640358, 74640357, 74640356, 74640355, 74640354?\n\"Answer: -u + 74640359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -32*a - 20. Determine f(-3).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2325 and 30000?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 99.5 - 82. Let c = -18 + z. Let g = 276 - 276.4. Sort 0.1, g, c.\nAnswer: c, g, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 5*s - s)*(2 + 3 - 3)*(s**3 - 13 + 13).\nAnswer: 4*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72201, 72935, 74159, 75873, 78077?\nAnswer: 80771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 h when three letters picked without replacement from {s: 7, h: 1}.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7211 - 844?\nAnswer: -7a55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 13 + -11 - (-1 + -5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1331265561 - 0?\nAnswer: -1331265561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 403?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8265*u - 2608 = 8216*u - 16576*u + 1287 for u.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15822160 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52 is divided by (627\/44)\/(18\/48).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 42 - 169*s + 84*s + 2*s**2 + 85*s. Let i(w) be the third derivative of -w**4\/24 + 13*w**2. Calculate r(i(v)).\nAnswer: 2*v**2 + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, t: 1, l: 3, q: 1, w: 4}. What is prob of sequence ffq?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*v + 33238 - 33238.\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of 67*q**6\/40 - q**5\/30 - q**4\/8 + 132*q**2. Find the third derivative of m(u) wrt u.\nAnswer: 1206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*s = -32*s + 36. Let v be (-4)\/s - (28\/63)\/2. Determine m so that 1\/4*m + 1\/4*m**2 + v = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3528390?\nAnswer: 2, 3, 5, 337, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 divided by 989137?\nAnswer: 36\/989137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of 2*q**3\/3 + 2*q**2 + q + 58. What is the lowest common multiple of a(-2) and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.021437 rounded to four decimal places?\nAnswer: 0.0214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26a (base 12) to base 8.\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 402*h**2 + 4. Let r be v(2). Suppose -11*z - r = -15*z. List the prime factors of z.\nAnswer: 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8 or 336\/41?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 122 + -121.7. Let w be ((-10)\/6)\/(205\/(-369)). Sort w, -4, v, 1\/3.\nAnswer: -4, v, 1\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 82361, 82368, 82383, 82406?\n\"Answer: 4*x**2 - 5*x + 82362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17)\/(340\/(-72))*12\/90*25?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(1\/9))\/(q*q**4) assuming q is positive.\nAnswer: q**(-35\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3d18 - -17?\nAnswer: -3d01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of 966*b**3 - 17*b**2\/2 + 17*b - 6. Suppose o - 2*o = -2*j + 5, 0 = -o + j - 9. Let w be x(o). Round w to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488159 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (25*o - 79*o + 6 + 45*o)*(o + o + o) as u*o + f*o**2 + q and give u.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k + 93 = 20*k. What is the nearest to 0 in k, 13, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -10) + -20 - -13.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4032 or -4157?\nAnswer: -4157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d - 4. Let i be (3 + 33\/(-9))*(-39)\/2. Let b(u) = -7 + i - 7. Give -5*b(q) + j(q).\nAnswer: -q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1076 - 280*u**2 + 2*u - 2155 - 470*u**2 + 1079 to m + o*u + w*u**2 and give w.\nAnswer: -750","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/6)\/(1606\/438)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -24*r + 32. Give h(4).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 + 11*j + 15. Let h be r(-10). Let y = -2 + h. Suppose 3*t = i + i - 44, y*t - 3*i = -48. Is t greater than -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4372243 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -220, -416, 1 in ascending order.\nAnswer: -416, -220, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13873 + -26127. Round i to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.7 - 1.06. Let d = 0.06 + p. Let l = 4.2 - 4.1. What is the third smallest value in d, l, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6, y: 1, i: 7}. What is prob of picking 4 g?\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/3 - 86150*v\/3 - 1855455625\/3.\nAnswer: -(v + 43075)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -3*l**2 - 11*l + 19. Determine t(-10).\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 51*p**4 + 13*p**3 + 2*p**2 - 326*p - 30.\nAnswer: 612*p**2 + 78*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of i**7\/2520 - i**6\/720 - i**5\/20 + 3*i**2. Let g(w) be the third derivative of s(w). Let x = 8 - 5. Give g(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7.8 * 395937\nAnswer: 3088308.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 228 = -11*x, 3556*x = 3560*x + o + 87 for x.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.58 + 7. Let x = n - -34.58. Let i = 33.48 - x. Round i to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3672605?\nAnswer: 5, 19, 67, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*12\/(-9)*1*3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1518, 1700, 1994, 2394, 2894, 3488?\nAnswer: 4170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -8972*y + 466554. Determine g(52).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) + 2*(sqrt(133) - 1*sqrt(133)))\/sqrt(7).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 567, 566, 565, 564?\nAnswer: 563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**(-7)\/t*t))**(-25)\/(t*t**23*t**(-3\/13)*t) assuming t is positive.\nAnswer: t**(-2922\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44906 is divided by 907?\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 11) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, a: 3}. What is prob of picking 2 a?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -41 (c) 0.3 (d) -0.0526\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*n - 19*n. Let h = 5.02 - 5. Let p = 0.12 - h. Which is the nearest to n? (a) 2 (b) p (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11881880 + 11881880 + 4599*i to m*i + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 119 = -65. Let g = -20 + w. Suppose 0 = -u + 7*u - g. Calculate the smallest common multiple of 44 and u.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-26))\/t*t**(-1\/4) assuming t is positive.\nAnswer: t**(103\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4478 + -4480. Which is the nearest to -11? (a) l (b) 0.2 (c) -2\/9 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4932115.3 or -1?\nAnswer: 4932115.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u. Let f(p) = -6*p - 5*p + 8*p - 12*p. Determine m(f(d)).\nAnswer: 30*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -1698*m + 190. What is the tens digit of y(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuww when four letters picked without replacement from {u: 5, w: 8}?\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8149273361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240)\/sqrt(4))\/sqrt(3))**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 134*w**3 - 684*w**2 + 1128*w - 592 = 0.\nAnswer: 74\/67, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 727848 is divided by 24250.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 89278.37 hours in seconds?\nAnswer: 321402132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*d**4 + 22*d**5 + 4*d**4 + 273*d**2 - 555*d - 271*d**2 wrt d.\nAnswer: 440*d**3 - 120*d**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 486529 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -3. Find the third derivative of 15 + 6*b**2 - d*b**4 - 15 wrt b.\nAnswer: -120*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*t = 35*t - 535. Let c = t - 102. Solve 0 = -3*l - o + 3, -l - o - c = -4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 527544?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 16487 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*s + 4*s + 2*s - 9*s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-7))**(-1\/23))**(-1\/37))**(1\/5) assuming v is positive.\nAnswer: v**(-7\/4255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-88*s + 209*s - 66*s)*(5*s - s - s) - 2*s**2 - 3*s + 3*s)*(s + 4*s - 3*s)*(-s - 3 - 3 - s) in the form m*s**3 + r*s + k*s**4 + u + g*s**2 and give k.\nAnswer: -652","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -493 + 546. Let v = -4 + 9. Suppose 0*h = 5*h - c - 136, -v*h = 2*c - 148. Calculate the remainder when o is divided by h.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-239)\/478*(1 - 21\/15). Which is the nearest to l? (a) 0.2 (b) -0.1 (c) -1 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88317803 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 15 + 491*p - 799*p + 356*p as g + t*p and give g.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/20)\/(6\/45). Suppose 2*k - 4*s - 52 = -9*s, 0 = -y*k + 3*s + 36. What is the highest common factor of k and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - r + 3 = 3*q, r + q = 1. Are r and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + b. Let c = 37 - 35. What is the tens digit of q(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4131716 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 272108867597 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 - 17. Let a(n) = -129513*n - 32. Let v(x) = -64757*x - 16. Let c(y) = t*v(y) - 3*a(y). Let d be c(-4). Round d to the nearest 10000.\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*t - 38*t - t**2 - t**2 + 26*t.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 513435 to the nearest integer?\nAnswer: 717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 26784607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 14005292 divided by -1561?\nAnswer: -8972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2804*h**3 + 938*h wrt h.\nAnswer: -16824*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of 0*w**3 - 1\/12*w**4 + 0*w**2 + 0 - w. Let u(y) = 3*y**2 - 2. Let c(h) = -1. Let m(l) = -2*c(l) + u(l). Calculate m(t(q)).\nAnswer: 3*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1665603, -3331204, -4996805?\nAnswer: -6662406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -4*t - n, 2*t - 20 - 2 = -4*n for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-5\/6)\/k**(-2\/11)*k**10*((k\/k**(-5\/3))\/k)\/k assuming k is positive.\nAnswer: k**(661\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 107.126 - 0.126. Let n = -89 + q. Sort -1\/6, n, -0.2 in increasing order.\nAnswer: -0.2, -1\/6, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22200002120 + -1?\nAnswer: 22200002112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 + 16. Let v be 1*(o + -3)\/(-14). Let b = 0.13 + -12.13. Put v, b, -4 in increasing order.\nAnswer: b, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-2) - -2)*((-304)\/(-5) + (-5819 - -5765))\nAnswer: 34\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/((-99)\/12))\/((-338)\/(-156)*1\/(-13)).\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of z**3\/3 - z**2 + 24*z. Let o(m) = -m - 1. What is -o(y) - r(y)?\nAnswer: -y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/3803 - -7612\/11409. Let w(c) be the first derivative of 8*c - m*c**3 - 12 + 3*c**2. Solve w(a) = 0 for a.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.409809 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o**2 + 23. List the prime factors of i(-8).\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1169987570?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -106409, -106384, -106337, -106268, -106177, -106064?\n\"Answer: 11*w**2 - 8*w - 106412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 264435 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(15)\/(sqrt(3)*-1) - -3*sqrt(35)\/sqrt(7)) - ((sqrt(320) - (-4 + 2*sqrt(320)))*2*5)**2.\nAnswer: -33597 + 6402*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lqq when three letters picked without replacement from {l: 2, q: 8}?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147 = -18*t + 5*d, 103 - 12 = 4*t - 5*d for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -8. Solve -d*p - 3*m - 9 = 0, 7 = -2*p - 5*m + 4*m for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 11\/(-2)*4*-2. What is the greatest common factor of 11 and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c - 8*c**2 + 3*c - 2280 + 2280.\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/4 + (-985)\/(-394)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12085, 12053, 12021?\nAnswer: 11989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 170*b**2 + 1185*b - 32. Calculate h(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9 or 264\/29?\nAnswer: 264\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 3 - 11. Let c(v) = -3*v + 4*v**k + 4*v**2 + 2 - 7*v**2. Let m be c(2). Solve z + 4*j - 5 = -m*z, -5*z - 5*j = -10 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h - 10*h + 3724 = -4*i, -2*h - 3712 = 4*i. Let j = i + 929. Let m(c) = c**3 + 3. Calculate the remainder when j is divided by m(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-452)\/565)\/(22\/5)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 9 = 4*x, 1 - 5 = 4*z for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 3*r**2 - 4*r + 6. Let l be s(4). Suppose 3*t - 4*d + l = t, 3*d = 3*t. Suppose 4*p - p - 9 = c, -p = t*c - 3. Is p at least as big as 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q + 5. Let k be l(0). Suppose 0 = 2*o - 3*o + k. Suppose -o - 3 = -m. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10785 times -0.1?\nAnswer: -1078.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2))**15*i**7*i\/i**3)**(-10) assuming i is positive.\nAnswer: i**250","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, i: 5, d: 1, e: 2, n: 2, s: 2}. Give prob of picking 1 n, 1 e, and 2 i.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -1\/26 (b) -2 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 135*k**3 + 90*k**2 + 90*k. Suppose 2*x + 22*b = 136, x - b = 4*b + 100. Let s(d) = d**3 + d**2 + d. Calculate x*s(n) - z(n).\nAnswer: -45*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k - 4 = 41. Suppose 3*j - 22 = -4*l, 3*l - 4*l + 14 = k*j. Suppose 0 = 4*t - 3*m - 716, j*t + 5*m = 268 + 90. List the prime factors of t.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6736 is divided by 63.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.376651 to three decimal places.\nAnswer: 0.377","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 328.8843 (b) 14 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 4*l - 1. Let m be f(1). Let g be (-10)\/m + 2\/(-3). Let x(i) be the first derivative of -i**2\/2 + i + 5. Determine x(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -3*j - 3. Let a(t) = t**2 - 11*t + 12. Let n(o) = o**2 - 11*o + 12. Let f = -14 + 11. Let r(q) = f*a(q) + 2*n(q). Let k be r(10). Determine x(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 + -29. Let z be (x\/(-27))\/((-4)\/6). Let j = 41.9 - 41.7. What is the nearest to z in j, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.059 and -0.32.\nAnswer: 0.01888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -95, -172, -249, -326, -403?\n\"Answer: -77*g - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that a**3\/7 - 7002*a**2\/7 - 352704*a\/7 + 733408\/7 = 0.\nAnswer: -52, 2, 7052","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 45134801501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 0 + (5 + (0 + (sqrt(99) - (sqrt(99) + 1*sqrt(99)) - sqrt(99)))**2 + 0)*-6 + -3.\nAnswer: -2407","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - -2 - (-26 - -26).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from vvvvvvyvvvyvvvvvyvvy.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 16*p - 712. Let l be r(52). What is the greatest common factor of 1500 and l?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -6*c + 3. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**2. Let n(l) be the first derivative of 2*l**2 + 6. Determine n(z(d)).\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/23625 and 173\/26633250.\nAnswer: 79899750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k - 1656 = 467. What is the remainder when k is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 588, 1233, 1940, 2733, 3636, 4673, 5868?\n\"Answer: 4*n**3 + 7*n**2 + 596*n - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3234*i**2 - 3242*i + 4. Determine p(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k + 14. Let f be h(7). Solve -4*u = 0, f = 2*j - 6*j + 3*u + 20 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5*o = -3*h + 3, 0 = o - 2*h + 3. Let c(b) = 0*b - 10 + 35 + 2*b**2 + 2*b - 28. What is the tens digit of c(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 - (-13 - 49) - 55?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -95, -761, -2569, -6089, -11891, -20545?\n\"Answer: -95*q**3 - q**2 + 2*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 776.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*s = -27*s + 343091. Let w = -1678 - s. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 180 and 12480.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) - (-4*4*sqrt(170) + sqrt(170)))\/(sqrt(360)*-2).\nAnswer: -4*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 1 = 25. Let j(l) = -l**2 + 8*l + 2. Let w be j(8). Suppose -q - 4*q = -20. Solve q*g = w*r + 3*g + h, g = -4*r - 12 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/3*(-297)\/396*-48\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tththchhhthhhh. What is prob of sequence thh?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o**3 - 60*o**2 + 58*o + 14. Let w be f(-31). Sort 6, w, 1 in descending order.\nAnswer: w, 6, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1296 = 482*y - 530*y for y.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -49785.13 rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((5*(-1 + sqrt(847)) - sqrt(847))*2)**2.\nAnswer: -10560*sqrt(7) + 325848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (0 - 0) - -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 306770?\nAnswer: 2, 5, 30677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5943?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5472)*-1)\/(sqrt(2) - sqrt(24)\/sqrt(192)).\nAnswer: -16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11 - -2193?\nAnswer: 2182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3401 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 2*q**3\/25 - 125522*q**2\/25 - 1006576*q - 50368800 = 0.\nAnswer: -100, 62961","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 997, 1815, 2639, 3469?\n\"Answer: 3*d**2 + 809*d + 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 16+11960\nAnswer: 11976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1554977, 6219918, 13994821, 24879686, 38874513, 55979302?\n\"Answer: 1554981*n**2 - 2*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*f - 15 - 5*f - 6*f**2 + 15 wrt f.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 + 18. Suppose 0 = q*c - 15, -4*y + 6*c + 803 = 7*c. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/21 or 1318925?\nAnswer: 1318925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1452, 176, -5?\nAnswer: 1452","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -1\/7, 195, -5, -10, -7?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b + 13*b + 7 = 0. Let v(r) = -r**3 + r**2 + r - 1. Let x(a) = 7*a**3 + 2*a**2 - 5*a + 12. Let o(t) = 6*v(t) + x(t). What is the units digit of o(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2537 - -2537. Let c = -19 + 18.8. What is the third biggest value in c, 0.4, 1\/2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2532, 2510, 2486, 2466, 2456, 2462?\n\"Answer: y**3 - 7*y**2 - 8*y + 2546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 845 and 138918?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 217931, 218212, 218677, 219326, 220159, 221176, 222377?\nAnswer: 223762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 3 = -3*x, -5*k + 7 = -4*x + 2 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from djjjjdddjj. What is prob of picking 1 j and 3 d?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -p**3*w**2 - 3160*p**3*w - 12*p**2 + 94*p*w**2 + 2*p*w - 63*w wrt p?\nAnswer: -6*p*w**2 - 18960*p*w - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**5 + 208*n**4 - 608*n**3 + 196*n**2 + 610*n - 404 = 0. What is n?\nAnswer: -1, 1, 2, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-4) - (96\/30)\/(3\/15). Which is smaller: 32 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97223.2ml in litres?\nAnswer: 97.2232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4882*i**3 + 9738*i**3 - 4849*i**3.\nAnswer: 7*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b**2 - 18*b**2 - 23*b**2 + 3*b.\nAnswer: -36*b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 882.223.\nAnswer: 176.4446","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + 3. Let m = 7 - 0. Let l = m + 7. Calculate the remainder when l is divided by q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**3 + 0*x**3 - 5*x**3.\nAnswer: -6*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 + 0)*(14 - 14 - 2*x)*(-3*x + 3*x - x**2) to d*x + l*x**3 + q*x**2 + s and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of f**2\/2 - 9*f + 6. Let z be y(16). Solve w + 2*r - 3 = z, -2*r + 10 = 2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 47 + (-16 - (4 - -7)) - 7 - (2 + 27).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -20195813.3 and 4.\nAnswer: -80783253.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**3 + d**3 + 0*d**3)*(0 - 2*d + 0) + 831*d**4 - 361*d**4 - 724*d**4.\nAnswer: -258*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2087*g + 8. Is w(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 167416 divided by -44\nAnswer: -41854\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -375177253299371+-3\nAnswer: -375177253299374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 17*d**2 + 20*d + 43. Let m be (4\/10*9)\/(7\/(-35)). Let o be b(m). Solve -9*g + 2*g - o = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.6602449 and 38366.\nAnswer: 38365.3397551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kzkkztzktktkkkzk. Give prob of sequence tzzz.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22724 and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 221.805 rounded to the nearest 10?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1230\/7 - -2439\/14. Let o be (3*(-2)\/12)\/(-2). Sort o, u, 3, 2\/9 in descending order.\nAnswer: 3, o, 2\/9, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}