diff --git "a/data/dm_maths/full_data/11128_11255.jsonl" "b/data/dm_maths/full_data/11128_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/11128_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let v(r) be the third derivative of -r**6\/96 + r**5\/20 + r**4\/8 + 2*r**3\/3 - 4*r**2. Let q(g) be the first derivative of v(g). Solve q(p) = 0.\nAnswer: -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 18, 31, 46, 63, 82?\n\"Answer: z**2 + 10*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 3, -6*j = -2*h - 2*j + 12. Suppose -h*g + 9*g - 315 = 0. Suppose -4*u = -g - 417. Does 24 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 124\/10 - 2\/5. Let x = 69 - 67. Suppose 3*z - z + q = -b, -4*b - x*z - 24 = 0. Let m(j) = -j**2 - 5*j - 5. Determine m(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wfb when three letters picked without replacement from {w: 1, f: 1, b: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 51664?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 21, 68, 145, 252, 389?\n\"Answer: 15*c**2 + 2*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) + sqrt(104)*2*-1)\/sqrt(8).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l*l**3)\/l))\/l**(-3\/8)*(l**(2\/3))**(-38) assuming l is positive.\nAnswer: l**(-647\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15665 - 32081. Let i = 24830 + n. Is i\/12 - (-2)\/(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 85*c*w**2 - 4*c - 1481*w**2 - 178871 with respect to w.\nAnswer: 170*c*w - 2962*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -922431711*z**2 - 2*z - 177262522.\nAnswer: -1844863422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cppc when four letters picked without replacement from cccpccpc?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -425\/42 + 25\/2. Find the common denominator of -35\/3 and v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2745491208?\nAnswer: 2, 3, 114395467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3336 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -39, -37, -45, -69, -115, -189, -297, -445?\n\"Answer: -f**3 + f**2 + 6*f - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-1)*k**(3\/17)*k\/(k*k**28)*k**(-1\/24) assuming k is positive.\nAnswer: k**(-11777\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 v when two letters picked without replacement from {v: 1, l: 3, d: 12}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/11))**(-1\/4) assuming c is positive.\nAnswer: c**(-1\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 3*c - 23. Let z be y(5). Let u be (-195)\/(-26)*(2 - z\/(-6)). Solve -u*r + r = -4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3 + ((sqrt(190) + (-2*sqrt(190) - sqrt(190)) + sqrt(190) - sqrt(190))*2)\/sqrt(10) + -5*sqrt(228)\/(sqrt(432)\/sqrt(4))).\nAnswer: -68*sqrt(19)\/3 - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1299742288*c*o**3 - 12*c*o**2 - 7123*c + 1436*o**2 + 1 wrt o.\nAnswer: 7798453728*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/29 and -42\/8893.\nAnswer: 257897","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 88\/(-6)*(-1467)\/978?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 20.93911l?\nAnswer: 20939.11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from omuomooooororrr. What is prob of sequence ro?\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/105*2*(-15)\/20?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (10\/30)\/(2 + (-27610)\/13806)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 n when three letters picked without replacement from nagn?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**2 + 64*b - 24. Let j be c(-32). Let k be (-3*j\/(-54))\/(-3). Suppose -4\/3*z + 28\/9*z**2 + 0 + k*z**4 - 20\/9*z**3 = 0. Calculate z.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2*((sqrt(304) - sqrt(304)*1) + 3 + -1)**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*w - 4159496 = 26840512, -d + w + 15499996 = 0. Suppose t = -4*t - d. Round t to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -188*t**3 + 14*t**2 - 5*t. Let k(v) = -176*v**3 + 13*v**2 - 4*v. Give -6*k(o) + 5*x(o).\nAnswer: 116*o**3 - 8*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 8*b - 745. Suppose -z - 2 = -0*z, b = -5*h - 2*z. Let a = h + 83. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 72 - 68. Suppose o*p + 4*z = 20, -4*p + 5*z = 2*z - 27. Let d = 102 + -91. Calculate the remainder when d is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1249 + -1248. Sort 2, -4, t, 12.\nAnswer: -4, t, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 170 in -0.4, 0, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29279 = -405*z + 19964 for z.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*s + 25 - 231 = -59*s. Solve s*c - 4*j - 23 + 1 = 0, -3*c + 27 = -4*j for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2755 divide 46206831?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kktn when four letters picked without replacement from pnnxkxtxpnkxny?\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - k + k + 5*k - 6*k as f*k + a and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 215294 divided by 3\nAnswer: 215294\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 20240 (base 6) in base 2?\nAnswer: 101010000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 29\nAnswer: -7\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 1:01 PM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4 = c - 7, 5*c + v = 15. Let j(r) = -r**c - 153*r**2 + 3 + 56*r**2 + 48*r**2 + 57*r**2. Calculate j(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-128*o + 182*o - 192*o)*(-1 + 0 + 4)*(0 + 5 - 3)*(10 - 3 - 21) to x*o + y and give x.\nAnswer: 11592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.05 - -4.05. Suppose -2 = 4*r + 2. Sort r, 1\/5, -0.2, u.\nAnswer: u, r, -0.2, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 12:32 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 2*v**3\/9 + 16*v**2\/9 + 32*v\/9 = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + n**2 - n. Let f(t) = 5*t**3 + 3*t**2 - 11*t + 1. Let g(c) = f(c) - 6*s(c). Let j(a) = -2*a**3 - 7*a**2 - 11*a + 3. Determine -7*g(x) + 3*j(x).\nAnswer: x**3 + 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**2\/t*t)**(14\/15)*t*t**(-1\/12)\/t*t\/(t*((t\/t**(-3\/5))\/t*t)\/t) assuming t is positive.\nAnswer: t**(71\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -4. Let g = 1\/6 - -1\/6. Put q, -0.1, g in ascending order.\nAnswer: q, -0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -9*d + 4. Is t(-6) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 7*v**2 - 4*v + 3. Let g = 7 - 5. Let q be f(g). Suppose -q = -p - 0. What is the remainder when p is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 0)*(-2)\/4 + 20\/(-35)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 510496372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*i - 4158 + 5 + 443.\nAnswer: -6*i - 3710","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 20681813 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -14*b - 5. Let l be t(-2). Suppose 0 = 28*c - l*c - 50. Let s be (-8 - -9) + 0 + 1. Solve 0*v - c = -s*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 4:28 AM?\nAnswer: 8:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14603 + -224?\nAnswer: -15130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/7))**(-44))**(-3\/19) assuming z is positive.\nAnswer: z**(264\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d - 5. Let m be k(-7). Suppose 5*r + 40 = 5*w, -4*w + 1 = 3*r - 2*w. Let l be 30\/25 - r - (-4)\/5. Solve l*j = m*j + 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1711 is divided by 1697?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9439798 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54328?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2544428?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7890 + 7563. Put 3, 2, 4, h in decreasing order.\nAnswer: 4, 3, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44447476.\nAnswer: 2, 1871, 5939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(72)*6 + sqrt(72) + sqrt(72))\/(-5*sqrt(108)))\/(2*sqrt(2)*5 - (sqrt(128)*3 - sqrt(2))).\nAnswer: 14*sqrt(3)\/195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45) - (sqrt(225)*-1)\/sqrt(5))\/sqrt(9) - 6*-5*2*sqrt(5))**2.\nAnswer: 19220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84\/(-735)*-7*15\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/889 - -16899\/3556. Is m <= 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 42471?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -419.7979426 to two decimal places.\nAnswer: -419.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29652 + 25428 = -1530*l for l.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6974868 at least 6974868?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 122*a*s**4 + 33510*a + 8447*s**4 + 8 wrt s.\nAnswer: 488*a*s**3 + 33788*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5263835, -10527511, -15791187, -21054863, -26318539, -31582215?\n\"Answer: -5263676*a - 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3*l**3 + 9*l**2 - 2*l - 5. Let n(k) = -k**3 + 3 - 18*k - k**3 + 19*k - 5*k**2. Let q = 78 - 75. Give q*m(d) + 5*n(d).\nAnswer: -d**3 + 2*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 7. Let f(k) = 6. Let i(o) = -4*f(o) + 3*n(o). Let d(g) = -g**2 + 2. Determine 3*d(q) + 2*i(q).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 198*w**3 + w**2 + 10168*w - 10421700?\nAnswer: 594*w**2 + 2*w + 10168","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 90555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7029*s**5 - 4*s**2 + 44*s + 9336?\nAnswer: -140580*s**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(300)*-3 + -5 + (sqrt(300) + (sqrt(300) - (sqrt(300) - sqrt(300)*-2) - sqrt(300)) + -5 - sqrt(300)))**2.\nAnswer: 2400*sqrt(3) + 21800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -j + j - j - 4*j + 2*j - j + (2 + 0 - 1)*(-159*j - 249*j - 454*j) as v + s*j and give s.\nAnswer: -866","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 11 + 0*i + 3*i**2 - 4*i**2 - 4*i.\nAnswer: -i**2 - 4*i - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = t + 8. Let w = t + 14. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1206*d + 838*d + 1040*d to the form s + x*d and give x.\nAnswer: 3084","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2301122.75 and 0.032.\nAnswer: 2301122.782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -185061 and 0.29.\nAnswer: -53667.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.1437725 micrograms?\nAnswer: 143.7725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2152 - -5188. Let z = y - 18175\/6. Calculate the common denominator of 2\/7 and z.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7709 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from erlgrleee. What is prob of picking 1 g and 2 l?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 20186 (b) 0 (c) -4 (d) 1\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - 6. Let v be (-3 - -2) + -2 + u. Suppose -f - 2*x + 21 = v, 5*f - 5*x - 100 = -10*x. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 237 = 43. What is c rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2358*(-36)\/(-4641) + -4. Let g = 186\/13 - r. Which is smaller: -1 or g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28098, 56182, 84266, 112350?\nAnswer: 140434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 682429603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11387573 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (72\/32)\/9 + 4 + (-2)\/(-8)\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2.13 times -18\nAnswer: -38.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39 + -23. What is the tens digit of -3 + 284\/q + 1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -235678, -471352, -707026?\nAnswer: -942700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8049534359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a + 3*o - 21620 + 21584, -468*a = 3*o + 4674 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyr when three letters picked without replacement from jrwybnwwynwr?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/10 - (-96)\/(-6))*-5. Let w(j) = j**2 - 67*j - 1130. Calculate w(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-33)\/(-11))\/(4 + -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 2*o + 14, -3*o = 2*m + 2*o + 27. What is the tens digit of ((-12)\/3 - m) + 117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.045 and 17402.48.\nAnswer: 17402.435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -111*b**3*k*x + 415*b**3*k + 2*b**3*x + 7*b*k*x - 148*k - 2*x - 6 wrt b.\nAnswer: -666*b*k*x + 2490*b*k + 12*b*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 46 - (2 - (3 - 3 - -2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2041 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1321113231 - 1013?\nAnswer: 1321112212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 + 2)*(4*n**2 - 4*n**2 + 2*n**3) + 70908*n**2 - 70908*n**2 - 696*n**3 as i*n**3 + c + h*n**2 + p*n and give i.\nAnswer: -694","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 587 - 7607 = -780*o for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of -l**8\/112 - 3*l**7\/70 + l**6\/8 + 27*l**5\/20 + 4*l**4 + 6*l**3 - 21*l**2 - 4*l. Solve b(a) = 0.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.8 in 1, 5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*w**4 - 3*w**4 - 2*w**4 - 7 - 29*w**4 + 7 + (-w + w**3 + w)*(2 - w - 2) to n + h*w**4 + c*w**2 + q*w + k*w**3 and give h.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 14553.7391 to the nearest 10.\nAnswer: 14550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12581*(-10)\/2760 + (-1794)\/39.\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*r**2 - 16 + 16 + (7*r - 16*r - 4*r)*(0*r + r - 2*r) - 10 - 11*r**2 + 10 - r**2 - 3*r**2 + 6*r**2 as z*r + h + q*r**2 and give q.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 56833 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17009166 * -3.\nAnswer: 51027498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 7*w - 20383 = -20333 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s + 5*s - s**4 + (4 + 6 - 4)*(5*s**4 - 5*s**4 + 2*s**4))*((0 - 2 + 3)*(0 + 3 + 1) - 3 - 1 + 2).\nAnswer: 22*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z + 3*z + 0*z + 4 - 4 + 2*z + (-2 - 1 + 5)*(-2*z + 2 - 2) + 2*z - 6*z + 2*z - 2*z + 2*z + z + 2 - 2*z - 2 + (-41*z - 47 + 47)*(-1 - 1 + 0).\nAnswer: 78*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 5*x - 8. Suppose -2*r - 9 = -5*r. Let q(l) = -16 + r + 3 - 14*l + 33. Let m = 48 + -31. Calculate m*k(t) + 6*q(t).\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -59 + 105. Calculate the remainder when a is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**3 - 15298*i**2 - 29245950*i + 29261250 = 0. Calculate i.\nAnswer: -3825, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 106.4022259 to 0 decimal places.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 3*f**2 - 326 + 0*f - f + 326. Let s(y) = -y + 1. Let k be s(-2). Suppose 2*c + 2*n - 3 = k*n, -c - 6 = n. Determine b(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 16727*x + 334546. Determine g(-20).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/745 and -71\/210.\nAnswer: 31290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(6*(sqrt(5) - sqrt(10)\/sqrt(2)) + sqrt(320)) + 6*((sqrt(605)*-2 - sqrt(605))*-1 + sqrt(605)))**2.\nAnswer: 369920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -4*h - 26. Let u be a(-7). Suppose 0 = -7*p + 5*p - 2*q + 572, -u*q - 1156 = -4*p. Does 16 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1237 - 950 - 866)*(-2 + 3*c + 2).\nAnswer: -9159*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 475*3 + -16 + 24. Suppose -453 = 7*f - i. Is f a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79847 (base 11) to base 16.\nAnswer: 1c31d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 3*o - 11, 3*o = -2*g + 5*g + 9. What is the units digit of -2 - g - -16 - 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 267073*q + 128 = -267095*q, -14 = 4*a - 2*q for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q. Let t(k) = -8*k. Let z(d) be the first derivative of 2*d**2 + 3. Let c(r) = 3*t(r) + 7*z(r). Calculate c(w(f)).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80765 is divided by 80559.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 14ba + -1?\nAnswer: 14b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -77 + 82. Solve f*j + 3*k = -14, -j + 5*k - 3*k = 8 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -6*m**2 + 2*m - 3. Let p(w) = -w**2 - w + 2. Let n(g) = 10*g**2 - 8*g + 13. Let i(d) = -n(d) + 3*p(d). What is 3*i(q) - 7*x(q)?\nAnswer: 3*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -19, -49, -105, -193, -319, -489, -709, -985?\n\"Answer: -m**3 - 7*m**2 - 2*m - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jyyyjxyayzjfy. What is prob of sequence yx?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 366 and 31659.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 10:15 PM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 241 or 188?\nAnswer: 188","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 6119 (c) 20 (d) 8 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11010931.\nAnswer: 173, 63647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00008952 rounded to 5 dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -141523.\nAnswer: 707615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -0.231.\nAnswer: -0.462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((1\/5)\/(75\/(-625)))\/((-30)\/54)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of -l**6\/15 + l**5\/5 + 19*l**4\/6 - 20*l**3\/3 - 880*l + 2. Factor f(v).\nAnswer: -2*v*(v - 5)*(v - 1)*(v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 9 = 36337*j - 36338*j, -15 = -3*j + 5*f for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 93 - 93. Which is the fourth smallest value? (a) 3\/2 (b) 5 (c) 15 (d) 1\/7 (e) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-100)\/350)\/(1 + 1). Let s = 0.3 - 0.1. Let d = -0.2 + s. What is the closest to -2 in 0.3, d, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23\/69*-15*2\/(-35)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -5*v + 448. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 162230.4963 to the nearest 100.\nAnswer: 162200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8830, -3, 12, -2 in decreasing order.\nAnswer: 12, -2, -3, -8830","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 r, and 1 b when three letters picked without replacement from bbtbdbrrrbj?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 9*n**2 - 11*n - 8. Let u be w(-10). Suppose 4*k = -3*z + 9, u*z - 1 = 2*k + 5. Solve 2*t = o - 2*o + 15, o = -z*t + 20 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -793 - -841. Solve a*w = 57*w + 9 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/13, -0.1, -1, 24243?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, -2\/3, 2\/5 in ascending order.\nAnswer: -2\/3, 2\/5, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 73\/5 + -15. Suppose -2*b - 5*b - 28 = 0. Let k = -1512 - -1511. What is the nearest to k in b, t, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2724088 and 3.\nAnswer: 2724091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3034, 3043, 3054, 3067?\nAnswer: 3082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -850, -1672, -2454, -3190, -3874, -4500?\nAnswer: -5062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 0.4, -3\/7, -0.4905944, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/5 of a litre in millilitres?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133857?\nAnswer: 3, 107, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 98 - (32 + 22) - 4?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11061.\nAnswer: 3, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 461\/1648 - -42\/103. Find the common denominator of b and -35\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 317818 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 117 - 131502?\nAnswer: -131363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2370589443, -2370589444, -2370589445, -2370589446, -2370589447?\nAnswer: -2370589448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-14))\/(-13*12\/(-936))\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -99258 * 3\nAnswer: -297774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4316.166 litres?\nAnswer: 4316166","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f. Let s(b) be the second derivative of -b**6\/360 - b**5\/120 + b**4\/12 - 6*b. Let z(p) be the third derivative of s(p). What is -5*h(j) + 2*z(j)?\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3612488672?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6402 is divided by 306?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -154, -56, -5, 3 in ascending order.\nAnswer: -154, -56, -5, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5312, 5309, 5294, 5261, 5204, 5117?\n\"Answer: -t**3 + 4*t + 5309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 9:15 AM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/c**6))\/(((c\/(c\/(c*c**(2\/3)*c*c)))\/c)\/c*c)*(c**(-2\/11)*c)\/(c*c*c**(-6)) assuming c is positive.\nAnswer: c**(269\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 272897 = -549*l + 550*l + s, -5*l + 5*s + 1364545 = 0. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2397 and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - -156)*(-2)\/(-5). Suppose -2*u - 70 = -186. Let c = u + h. Calculate the highest common divisor of 15 and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -40*h - 5983347 + 5981107 for h.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 235*v + 464*v - 8932 - 9242 for v.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 13*m**2 - 1140*m + 958. Give x(86).\nAnswer: -934","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 398\/5 + -79. Let f = -0.131 + -0.069. Let g = 1\/96 - 199\/672. Which is the nearest to g? (a) 4 (b) v (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -8) + (-4 - (-1 + -5)) + -9\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (21\/(-140))\/(2\/(-5)). Is l greater than or equal to 8\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10106 and 14?\nAnswer: 70742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -w + 5 - 14*w**2 + 0 - 3 + 0 as n + d*w + h*w**2 and give h.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**(-13))\/w*w)\/w*w*w*w*w*w*(w**21*w)\/w)\/(w*(w*w\/(w**24*w))\/w*(w**(-20)\/w)\/w) assuming w is positive.\nAnswer: w**84","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15282749.\nAnswer: 15282749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/3951 and 7979\/(-1756) - (-1341)\/298.\nAnswer: 15804","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001598 to 6 decimal places.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/9 - 4*k\/9 + 2\/9.\nAnswer: 2*(k - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37db (base 14) to base 4.\nAnswer: -2121011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-9 - -6) - -32?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {j: 2, s: 7}?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 22*h**2 - 61*h + 52. Calculate n(-25).\nAnswer: -298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29509201.\nAnswer: 29509201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 1:13 PM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -180314 * 0.04745.\nAnswer: -8555.8993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*q + 111 = 81 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/(-36))\/(32\/(-144)). Let c = 0.5 + -0.9. Sort c, -1\/3, v in decreasing order.\nAnswer: -1\/3, v, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-700)\/(-98))\/((-2)\/(-14)). Let r = 84 - f. What is the remainder when r is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 92196.9 days?\nAnswer: 7965812160000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-27)*-50)\/(7*28\/(-294))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-219 + 187 - (0 + 2)) + 6.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2 + 3*h**3 + 5 - 10*h**3 wrt h?\nAnswer: -21*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70795167.\nAnswer: 3, 23598389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84 + (-95703)\/949 + (-2)\/13.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-26)\/(-8) + (-6)\/24. Let f = -2 + 2. Let u = -1 - f. Which is the closest to 0.2? (a) m (b) u (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142727 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -6\/32213?\nAnswer: -6\/32213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h**3 - 35*h**2 + 50*h - 47. Let w(u) = -u**3 + 18*u**2 - 25*u + 23. Let s(o) = 4*q(o) + 7*w(o). Is s(11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1463845 divided by 1463845\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -4*h - 4, 4 = -14*h + 10*h + 2*w for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o + 3. Let c be 34 + 4*-2 + 4. Let g = c + -26. What is k(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72 is divided by 40.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (26 + 10)*((-2439)\/2)\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -896.85*861.\nAnswer: -772187.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 28472812 a multiple of 474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13.7 + -18.6.\nAnswer: -32.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/3 in 9041\/6, 2, -0.11, 0.2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-3 - -5) - 3 - (12 + 4).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -300*c**3 - 296*c**3 + 890*c**3 - 296*c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of k**4\/12 - k**2\/2 + 2*k. Let s be z(4). Suppose -5*q = -s, m = -2*q - 8 + 19. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*y - 41 - 56 = 90 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -411.427289 to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1167158 take away 2601?\nAnswer: 1164557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h - 40. Determine g(-21).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 51 - 28. List the prime factors of h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -m - 4*f, f - 4 = -2*m - 8. Let g be -5 - -2 - (-62 - m). What is the greatest common factor of 8 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-480)\/(-612) - (5 + -7)?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5972867 divided by 563?\nAnswer: -10609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2 + sqrt(832)*1)**2.\nAnswer: -64*sqrt(13) + 1672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43089 and 8904.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 767.4741398 rounded to two dps?\nAnswer: 767.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1102 + 1105. Let u = -3 + 3.2. Let l = -0.2 + u. Which is the smallest value? (a) l (b) o (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/7*-1 - 6534\/(-126). Let b = 12 - 7. Suppose s = b*d - 4*r + r, 0 = -5*d - 4*r + 24. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 12*r - 19*r. What is the derivative of -13*x**4 - 24 + 124*x**r + 46*x**4 - 124*x**2 wrt x?\nAnswer: 132*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 8*s**3 - 7*s**2 + 6*s + 2. Let h be x(4). Suppose -u = -h - 49. Let c = u - 309. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1 + (sqrt(22)\/(sqrt(88)\/sqrt(8)) - sqrt(2))**2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 9.747kg?\nAnswer: 0.009747","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 1091110460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - 17*f**2 - 14*f + 17. Let g be p(-16). Let w be (0 + -5)\/g*-21. Let z = 9 - w. Which is smaller: 0.1 or z?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6596 (b) 2\/5 (c) 0.3 (d) -24 (e) 3\/4 (f) -3\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -0.4 (b) 6 (c) -0.2 (d) 38 (e) -48\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*g**3\/13 - 72820*g**2\/13 - 29122*g\/13 - 224 = 0 for g.\nAnswer: -1456, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-22*(3\/(-14))\/(124\/434)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 780 and 1560.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19*l**3 + 0*l**4 + 1 - 18*l**3 - l**4 + (-3*l**3 - l**4 + 3*l**3)*(-2 + 13 + 0).\nAnswer: -12*l**4 + l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 968*3.\nAnswer: 2904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 77 (base 13) to base 12\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qp when two letters picked without replacement from {o: 1, p: 2, q: 2, w: 1, u: 2, z: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 249788087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -2\/15*w**3 - 8\/5*w + 0 - 32\/15*w**2 + 8\/15*w**4 + 2\/15*w**5 = 0?\nAnswer: -3, -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 11, s: 3}. What is prob of sequence ss?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 51 = -2*n. Let o be n*5*1 - 3. Let g = o - 5. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 720 or 717?\nAnswer: 717","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + 0 + 4 + -3. Suppose -r = -m - 3, -5*r - 3*m + 5 = o*m. Suppose r*l + 8 = -2. Is l > -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 689.7 - 689.8. Which is the closest to f? (a) 0.5 (b) -0.2 (c) -3\/2 (d) -1\/16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 936492.\nAnswer: 4682460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 36302 = -4*w, -238*d + 243*d = 3*w - 27192. Is 26 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -3 - 1. Let h = u + -3. Let l be 2*(-2 + (-10)\/h). Solve -19 = -4*p + l for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27*m**4 + 33*m**4 + 2 + 38 + 30 wrt m.\nAnswer: 240*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/4 + (-32)\/(-4))*2. Suppose 0 = -9*b + 4*b + d. Suppose 2*y = f + 56, 141 = y + 4*y - b*f. Calculate the lowest common multiple of y and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*r - 14*r + 8. Let z be r\/22*-2 - 8792\/(-77). Calculate the greatest common divisor of 76 and z.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - 18. Let u be l - ((-80)\/(-36) + -1). Let m = 658\/741 + -12\/13. Which is the second biggest value? (a) u (b) -5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of (-2056)\/(-6)*(132 + -126)\/((-4)\/(-21))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 8*c**4 - 114*c**3 + 2164*c**2 - 5658*c + 3600. Let y(b) = -7*b**4 + 116*b**3 - 2164*b**2 + 5655*b - 3600. Let j(k) = 5*v(k) + 6*y(k). Factor j(r).\nAnswer: -2*(r - 30)**2*(r - 2)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9665792.06 rounded to the nearest 1000?\nAnswer: -9666000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 10 (b) -0.1 (c) -2\/81\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 7:50 AM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2249240.\nAnswer: 2, 5, 7, 29, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of f**4\/12 + f**3 - 5*f**2\/2 + 3*f. Let z = 92 - 7. Let t be z\/34*(-1)\/((-2)\/(-4)). Calculate u(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 5:30 PM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -3\/4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 844657.7l to millilitres.\nAnswer: 844657700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -680, -2, -3 in decreasing order.\nAnswer: -2, -3, -680","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of -w**6\/120 - w**5\/15 + w**4\/6 - 5*w**3\/6 + w**2. Let i be u(-5). What is the tens digit of (i + 13)*1 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxixxxixxxxiiixixx. What is prob of picking 1 i and 1 x?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1800))\/((sqrt(216)\/sqrt(4))\/sqrt(9)).\nAnswer: -20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 80*v**5 - 570*v**4 - 2*v**2 - 2333*v + 3 wrt v.\nAnswer: 4800*v**2 - 13680*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1073*u**3 - 774 - 1330 - 331 - 445 - 518 wrt u.\nAnswer: -3219*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -98 - -98. Let h(w) = 5*w. Let f be h(1). Suppose 5*o + b*u + f*u = 500, -3*u + 98 = o. Is 22 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-2 + -11 + 22)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r**3 - 11*r. Let i(g) = g. Let x = 4 + 1. Suppose -t + q + 17 = 0, -4*q - 26 - 64 = -x*t. Calculate t*i(o) + 2*u(o).\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*r, 4*r = -4*y - 18 + 22. Solve -20 = -y*z - x, -z - 4*x = -4 + 19 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of 0*a**3 + 0*a**2 - 1\/20*a**5 + 1\/12*a**4 + 0 - a. Factor q(x).\nAnswer: -x**2*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 273575 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -54 + 55. What is the nearest to 0 in a, 3, -6?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d**2 - 37503*d - 374985. What is v(-10)?\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 549 - 282. Let f = -272 + s. Which is the second smallest value? (a) -3 (b) f (c) 4\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170173.\nAnswer: 167, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 16*s**3 - 3*s**2 + 7*s - 18. List the prime factors of f(4).\nAnswer: 2, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4\/8371 - -8359\/25113. Which is greater: z or -1.567?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 765 - 743. Suppose -17*c - 55 = -d*c. Solve -x + 10 = -c*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45 + 24 + 22 + -47\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - r - 320 = 0, -o + 0*o + r - 320 = 0. Let n = -261 - o. What is the remainder when 81 is divided by n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from iiiiiooiiiiii.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 4*j + 12 = 10, 2*n = -5*j - 9 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o - 127 = -469. Let s be (450*3)\/(o\/(-110200)). Round s to the nearest 100000.\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8c1 (base 15) in base 7?\nAnswer: 5530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4371615*j**4 + 4*j**2 + 2*j + 61208 wrt j?\nAnswer: -104918760*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 + 36. Let s be 0\/(-1) + 54\/6. Suppose -4*i + s = h. Which is smaller: -14 or i?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 2 - (-55 - -48) - 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -796697, -3, 6, -1 in decreasing order.\nAnswer: 6, -1, -3, -796697","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 200 and 72?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**5\/5 - 459*i**4\/5 + 21312*i**3\/5 - 264792*i**2\/5 - 331056*i\/5 + 574992\/5 = 0. What is i?\nAnswer: -2, 1, 22, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1619*l - 542*l - 545*l - 536*l - 8.\nAnswer: -4*l - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/10 and -163\/930.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -4*f**4 - 5*f**3 + 5*f + 11. Let k(i) = i**4 - i**3 + i. Let g(t) = 5*k(t) - x(t). What is the first derivative of g(b) wrt b?\nAnswer: 36*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -220001 + -1021?\nAnswer: -221022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*p + 14*p - 385. Calculate the remainder when p is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**3 - 7*m**2 - 7*m. Let i(k) = k + 10. Let o be i(-7). Let v(d) = d + 4*d**2 - 5*d**o + 5*d**3 - d**3 + 3*d. Give -4*n(j) - 7*v(j).\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/5 of a meter in millimeters?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**18*a*a\/(a*a**6*a)*a assuming a is positive.\nAnswer: a**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 24\/14*21\/6. Suppose -8*b + t*b = 62. Let o = 6 - b. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -3*i + 5. Let v(h) = 2*h - 2. Let c(o) = -2*g(o) - 5*v(o). Let w(d) = d**2. Determine w(c(k)).\nAnswer: 16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (363\/(-968))\/((-18)\/32).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567) - (sqrt(567) + -1 + -2 + sqrt(567) + sqrt(567)) - (-2 + sqrt(567))*-4) + (-5*sqrt(49)*2 + sqrt(49))\/((sqrt(84)*-2)\/sqrt(12)))**2.\nAnswer: -225*sqrt(7) + 14275\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of -1\/1890*p**7 - 2\/27*p**3 + 47*p**2 + 2*p + 1\/108*p**5 + 0 + 1\/72*p**4 - 1\/360*p**6. Let j(y) = 0. Calculate y.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.49 - 5.25. What is f rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -168, -562, -1202, -2100, -3268, -4718, -6462?\n\"Answer: -2*k**3 - 111*k**2 - 47*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i + 1. Let s = 10 - 6. Let f be a(s). Which is smaller: f or -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*m**3\/2 + 80*m**2 + 375*m\/2 - 125 = 0.\nAnswer: -2, 5\/9, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/63034 and 33\/315170.\nAnswer: 315170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3*j + 3. Suppose f = -f - 8. Let q be v(f). Is (-21)\/q + (-2)\/(-3) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -2 + 138 + -143?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 837\/(-30)*3546\/15957.\nAnswer: -31\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 76\/10 + 2\/5. Suppose 0 = 5*g - g - b. Suppose 3*v - g*u - 7 = 0, -2*v = 3*v + u - 16. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**3\/5 - 97916*q**2\/5 - 821436*q - 43106868\/5.\nAnswer: -4*(q + 21)**2*(q + 24437)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.906 + 0.094. Let t be (-965)\/(-30) - -5*(-2)\/60. What is the third smallest value in t, v, 2, 2\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1108041 and 231.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 683344*w - 1304811.\nAnswer: 683344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35 - -75. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 876365468 to the power of 1\/2, to the nearest integer?\nAnswer: 29603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 423522350 (base 6) to base 12\nAnswer: 25b93b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27 and 6?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11.6 + -13.6. What is the nearest to a in 0, -0.1, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 475 or -46.7744?\nAnswer: -46.7744","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i + 0*i - 2*i + (5 + 0 - 4)*(0*i + 0*i + 2*i) + 0*i + 0*i + 5*i - 3 + i + 3.\nAnswer: 9*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -15225, -15049, -14847, -14607, -14317, -13965, -13539, -13027?\n\"Answer: 2*w**3 + w**2 + 159*w - 15387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -260.942722 and 0.4.\nAnswer: -104.3770888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -35*v**3 + 5 + 8 + 34*v**3 + (0*v**2 + 4*v**2 - 2*v**2)*(5*v - 2*v - 5*v) + 4*v**3 - v**3 - 6*v**3.\nAnswer: -8*v**3 + 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that p**4\/3 - 637*p**3\/3 - 318235*p**2\/3 - 29756423*p\/3 + 63377098 = 0.\nAnswer: -179, 6, 989","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 32*m - 25. Let z(b) = -25*b + 22. Let u(j) = 5*t(j) + 6*z(j). Let w(k) = -2*k - 3*k - 6 + 2*k + 4. Let p = -6 + -1. Calculate p*w(d) - 2*u(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4.2 times 8\nAnswer: -33.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppcppcpppppc. Give prob of sequence ppc.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.013 - 21.987. Let v = u - -37. Let r be 14\/(-1029)*-7 - 156\/(-126). Which is the nearest to v? (a) -0.3 (b) -1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -63 (base 10) to base 3\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.9 + -8.9. Let v = -4 - -6. Which is the closest to m? (a) v (b) 0.2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - 2*s - 3*s)*(s - 2*s + 4*s)*(198 - 198 + 12*s).\nAnswer: -72*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 39 + 4244*n - 107 + 36 + 32 in the form w + m*n and give m.\nAnswer: 4244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 + 3997263268.3392?\nAnswer: 3997263267.8392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 divided by -137525.\nAnswer: 17\/137525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express m**4 - 2 + 5*m**2 + 0*m**4 - 3*m**2 - m**2 in the form b*m**3 + x*m**2 + i + d*m**4 + h*m and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 6*d**2 - 5*d + 58. Let j be s(6). Suppose 8*c + r - 84 = 6*c, c - 3*r = j. Calculate the least common multiple of c and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*j - 34*j + 12*j + (-2*j + 14*j + 3*j)*(1 + 0 + 1).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2855415 rounded to 3 decimal places?\nAnswer: -2.286","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 586?\nAnswer: 583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*a**3*o**2 + 22*a**3 - 3*a**2*o**2 + 8*a*o**2 + 229*a wrt a.\nAnswer: -48*a*o**2 + 132*a - 6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -132173 - -196247. What are the prime factors of q?\nAnswer: 2, 3, 59, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10248 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 3052669.41 milliseconds?\nAnswer: 0.005047403125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1744484621 and 3071.\nAnswer: 3071","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170*a - 2*h = -243*a - 373, -6*a = -2*h + 38 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 22*x**2 - 12*x - 54. Let l be u(-22). Let m = 215 - l. Solve m*b - b - k = -17, 3*b + 4 = -k for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -284.0773 to 1 decimal place.\nAnswer: -284.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of -55*h**2 + 0*h**4 + 0*h - 79\/60*h**5 + 0*h**3 + 1. Let y(b) = 2*b. Determine z(y(d)).\nAnswer: -316*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 23 * 136.1\nAnswer: 3130.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38.78349cm to micrometers.\nAnswer: 387834.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-7)\/42*-6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 5*z - 4 + 18*z**2 + 5 - 1. Let o(l) = 9*l**2 + 3*l. Let m(k) = -7*o(k) + 4*t(k). Let r be 6 - (-5)\/(-5 + 4). Calculate m(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35534 (base 9) in base 13?\nAnswer: -aa80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 AM and 7:11 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 53671 - 53671 + 441*k**2. Let h(t) = t. Give h(y(g)).\nAnswer: 441*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7 + 5 - 3*p + 0*p + (-6 + 2 - 5)*(2*p - 5*p + 2*p).\nAnswer: 6*p - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.08 - 14.62. Let o = 0.3 - s. Let x = o - 15.5. Which is the biggest value? (a) -3\/7 (b) x (c) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (12\/9)\/((-2)\/(-12)). Let s(a) = -a**3 + 8*a**2 + a - 5. Let i be s(o). Suppose i*v = 5*v - 30. What is the remainder when 44 is divided by v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75466 and 3104.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(972)*-3)\/(-2*sqrt(144)) - (sqrt(24)\/(sqrt(8)\/sqrt(2)))\/(-2*sqrt(98))*-2.\nAnswer: 59*sqrt(3)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2. Let q(p) = -403*p**2. What is q(f(u))?\nAnswer: -403*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1298 - 1293. Sort -5, 20, -1, 4, z in decreasing order.\nAnswer: 20, z, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8.004827 millilitres?\nAnswer: 0.008004827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 170 divided by 5.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 439, 582, 757, 976, 1251, 1594?\nAnswer: 2017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 117203*g*p**2 + 31147*g + 2 with respect to p.\nAnswer: 234406*g*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 + 19*k - 70. What is y(-26)?\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1218\/5791 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (78\/(-9))\/((-90)\/135)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(150\/20) + (2822\/120)\/17. Suppose -3\/2*r + 1\/4*r**2 + m = 0. What is r?\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 AM and 12:55 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h - 3799*h**3 - 6440*h**3 + 3*h - 2*h + 2*h + 2*h**3 + (4*h + 0*h - 5*h)*(3*h**2 + 0*h**2 - 5*h**2).\nAnswer: -10235*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -243*d**2 - 4158*d - 17787.\nAnswer: -3*(9*d + 77)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41\/2, -849, 5, -3\/2, -5.\nAnswer: -849, -41\/2, -5, -3\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -584177 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.1 - 1.1. What is the third smallest value in -3, g, 2\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127484579 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 152552, 610283, 1373196, 2441291, 3814568, 5493027?\nAnswer: 7476668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.11 + -0.41. What is the nearest to 1\/4 in -0.2, 0.3, j?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 26*k - 6*k - 19*k. Suppose -20 = -5*h + 2*s, -4*h + 4*s + 32 - 4 = 0. Let o(x) = x + h*x - x. Determine t(o(l)).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3992*l = 4279*l + 9184 for l.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 14696, 22971, 31248, 39527?\n\"Answer: o**2 + 8272*o + 6423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 63466 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 7*f + 4. Let q be o(2). Suppose 3*v - q = -3*g, 2*g - 4*v + 14 = g. Solve -5*p - g*x + 24 = 0, -4*p + 2*x = -11 - 1 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + r**4 + 2*r - 2 + 5 - 1 in the form t*r + i*r**3 + c*r**2 + g + k*r**4 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of -5*o**7\/21 - o**6\/6 + 7*o**5\/4 + 35*o**4\/12 - 5*o**3\/6 - 5*o**2 + 15*o. Solve x(t) = 0 for t.\nAnswer: -1, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h**3 - 384*h - 33 + 167*h + 257*h + 33.\nAnswer: -4*h**3 + 40*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 2. Let d = 2 - q. Suppose 4*z - 2*r = 88, 2*z = -2*z + 3*r + 92. Calculate the greatest common divisor of d and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1527313 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 117*h + 4091. Let p be m(-35). Let i = -17 - -11. Which is bigger: p or i?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 109?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 12, 33, 72, 135, 228, 357?\nAnswer: 528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 4*d = 3*d - 18, 0 = -2*u + 4*d - 12. Let i be (-10)\/u - (-15)\/45. Suppose 0 = i*h + h + 4*x - 113, -5*h - 2*x + 207 = 0. Does 19 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -43 at least as big as -192326\/4587?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 860034 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, g: 4, b: 1, p: 3, i: 1}. Give prob of sequence gpi.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41.51 - -40.51. Sort -0.1, z, 50 in decreasing order.\nAnswer: 50, -0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-20)\/s**(-1\/10)*(s**(-11\/2))**(-25) assuming s is positive.\nAnswer: s**(588\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 197653 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.77 plus -49668410?\nAnswer: -49668378.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -5. Suppose -4*j = 8, -2*g - p*g + j + 52 = 0. Calculate the remainder when g is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-4) + 231\/140.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 683371, 2734184, 6152207, 10937440, 17089883, 24609536?\nAnswer: 33496399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 5*d - 27, -13 - 2 = -3*d for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -2. Let i be g\/9*-6*3. Suppose 6*l - i = 4*l. Solve l*p = -3 - 1 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, i: 2, k: 2, d: 1, p: 1}. Give prob of sequence pk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1667481556 to the power of 1\/2, to the nearest integer?\nAnswer: 40835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t + 5559248*t**3 - 5559269*t**3 + 0*t.\nAnswer: -21*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -9b3662 (base 12) in base 5?\nAnswer: -1113124311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 395 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*f + 19*f - 14*f + 21*f.\nAnswer: 33*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmomymnfkomo. Give prob of picking 1 f and 1 y.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*u**3 - u**2 + u**2)*(-11*u + 3*u - 23*u) in the form s*u**4 + l + d*u**2 + h*u**3 + o*u and give s.\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 16*t**2 - 11*t - 9. Let y(k) = 8*k**2 - 5*k - 4. Give 2*v(a) - 5*y(a).\nAnswer: -8*a**2 + 3*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in seven halves of a millennium?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/10311 and -37\/714?\nAnswer: 350574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-4)\/f*f*f*f**5\/f*f*f**(2\/3)*(((f\/f**(5\/2))\/f)\/f)\/f*f)\/(f**(-4)\/f*f**7)**(2\/37) assuming f is positive.\nAnswer: f**(-209\/222)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 36 - 32 = 0. Which is bigger: -38\/11 or s?\nAnswer: -38\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*c - 22*c + 7*h - 11*h + 6 = 0, -c - 11 = -3*h for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/36 - 303\/(-27). Calculate the greatest common divisor of 22 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 157864 - 22101067\/140. Calculate the common denominator of n and 71\/3.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -14 + 8 - 2 - (0 - -26).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52380 and 54945.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.8855 and 2.2271.\nAnswer: -1.97209705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a = -7*a - 795. Suppose 0 = 5*c + 2*y - a, c - 3*y + 4*y - 156 = 0. What is the remainder when c is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 253*v - 226*v - 135. Solve 15 = -v*c + 2*i, -10 = -3*i + 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15 take away -2948?\nAnswer: 2948.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rdrwbgbddididdr. Give prob of picking 3 r and 1 w.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 52786 in decreasing order.\nAnswer: 52786, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, v: 5, b: 4}. Give prob of picking 1 v and 1 b.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -4*h. Let p(d) = 5*d + 1 - 2*d - 1. Let l(z) = -4*f(z) - 6*p(z). Let n(w) = 2*w. What is l(n(b))?\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0189943261 + -0.3.\nAnswer: -0.2810056739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-3 - 4) - (34 - (60 - 31)) - 7\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11*(-9)\/594)\/(2\/(-12)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1187\/4478 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**2 + 19*o - 2. Let j(l) = l**3 - 3*l**2 - 19*l + 2. Give -3*b(c) - 2*j(c).\nAnswer: -2*c**3 - 19*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 231157*g*n**3 - 5451*n**3 - 20 wrt g?\nAnswer: 231157*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 a when three letters picked without replacement from {a: 13, l: 4, p: 3}?\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -113 + -22145?\nAnswer: -22261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 153159870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11611973*c**2*s**3 - 2*c*s**3 + c*s + 3*c + s**3 - 110846*s wrt c.\nAnswer: 23223946*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*n - 4 = 27*n - 12*n - 5*p, -3*n = 12*p - 9 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*59 + (8\/4 - 6). Let m = -113 + h. Let p be 2\/m*(4 + 0). What is the highest common factor of 64 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*q**2 + 3*q**2 + 2*q**2)*(2*q + q - 2*q) + (-5*q - 1 + 1)*(0*q**2 - q**2 - q**2) as a*q + r*q**3 + f + c*q**2 and give r.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 1:19 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**7*i)**(-23) assuming i is positive.\nAnswer: i**(-184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -609, -242, 339, 1134?\n\"Answer: 107*y**2 + 46*y - 762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 11:39 AM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 35 and 319?\nAnswer: 11165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 233819 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14118 - -44833. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16407832*g**2 + 9874420*g.\nAnswer: -32815664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 1:09 PM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3*d + 10 = 0, d = 5*z - 8*z + 37. Solve -a - 3*i = a - z, -2*a + 6 = -2*i for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 e when two letters picked without replacement from {a: 1, n: 1, e: 1, l: 1, j: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 3*h + 34 = -2*x, -4*h = x - 30. Suppose 5*v - x = 3*z + 89, -4*v = 0. Let t = z + 53. Solve -3*u - 3 = -o - 0*u, -t = 4*u for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*k + 17 = -1, -5*b + 2*k + 17 = 0. Suppose -b*u + 194 = -71. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*u - 6 = -22*u. Let v(m) be the third derivative of -m**4\/6 - m**3\/2 - 3*m**2. Let w(n) = -3*n - 2. Determine u*v(y) - 3*w(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**3\/7 - 43498894*n**2\/7 + 33788457236208*n + 33788463450336 = 0. Calculate n.\nAnswer: -1, 10874724","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - 110 = -11*c. Let f(i) = -i + 121. Let z be f(0). Let n = c + z. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 70, -3, -0.51, 0, -2\/101 in decreasing order.\nAnswer: 70, 0, -2\/101, -0.51, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 2*h - 20. Suppose 2*i = -2*w + 2, 0 = -5*i - h - 6. Solve -7 = -2*u + w for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15662530 is divided by 3428.\nAnswer: 3426","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/8212893 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 281*i*l - 183*l wrt i?\nAnswer: 281*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10111 (base 2) to base 3.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -26*g + 32*g. Find the common denominator of g and -59\/28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 78\/(-8)*(-303776)\/28479?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/6636 and 59\/7268.\nAnswer: 152628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + a - 4. Let k be 12\/(-18) + (-10)\/3. Let m be b(k). Let l(t) = t**2 - 8*t + 7. Is l(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 68*i**2 + 297*i + 331. Give s(72).\nAnswer: 979","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + 44*v - 304. Let j be w(11). Suppose t - 53 = r, 2*r = -t + 5*r + j. Calculate the least common multiple of t and 9.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*d + 2*d - 2*d)*(-d**2 + 2*d**2 + d**2)*(13*d**2 - d**2 - 5*d**2).\nAnswer: 84*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 121265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.01 and -30523633?\nAnswer: 30523633.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a micrometer in nanometers?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -2*a**5\/9 + 58*a**4\/9 - 140*a**3\/3 + 1288*a**2\/9 - 1808*a\/9 + 320\/3 = 0.\nAnswer: 2, 3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**0*k*k**(3\/4))**(6\/11))**(-14))**(-30\/11) assuming k is positive.\nAnswer: k**(4410\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 10 - 33*f + 7*f - 1. Let z(o) = o - 7. Let g be z(0). Is m(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*h**5 - 308*h**4 - 140*h**3 + 804*h**2 + 496*h - 80 = 0.\nAnswer: -1, 2\/15, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 44\/(-6)*(-72)\/24. Suppose 29*x = k*x - 49. Let u(s) = -s**3 - 6*s**2 + 9*s. Give u(x).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i + 14*i = -3*h + 17, -h + 4*i = 13. Suppose n = -v + 11, 2*v = -5*n + h + 31. Solve -3*z = 6*z - v*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to -946764?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3002167 is divided by 8007.\nAnswer: 7549","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 82 + -28. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15.6 + 17.6. Which is the nearest to h? (a) -2\/3 (b) -1 (c) -4 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -1031*i**2 + 167*i + 50. Let c(b) = -b**2 - 5. Let f(n) = 10*c(n) + o(n). Find the second derivative of f(u) wrt u.\nAnswer: -2082","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 6) + (3 - 1) + -9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-323631)\/3234 + 35\/(-147)*3\/(-10)?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 176 and 112.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/198 and -17\/12?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -3354678\nAnswer: 3354678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29 + 36. Suppose -8*y + q*y = -15. What is the remainder when y is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*y + 10*y**2 - 6*y + 13*y as z*y**2 + x*y + q and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-69*m**3 - 446*m**3 + 368*m**3 - 350*m**3 - 392*m**3)*(-262 + 11*m + 262).\nAnswer: -9779*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91827914?\nAnswer: 2, 17, 23, 117427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 + 10*n + 11. Let y be p(11). Suppose y = 2*c + 3*g + 193994, 4*c = -c - g - 484998. Round c to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 258 = -315. Let q(y) = -13*y - 14*y + 44*y - c*y. Let b(n) = 15*n**2. What is b(q(w))?\nAnswer: 60*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 4*q - 15 = q, -3*s - 18 = -4*q. What are the prime factors of (s\/3)\/((-8)\/132)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9954)\/(-66) - (-1 + 27\/33). Let q = l - 45. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 971577 divided by -971577.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 10\/17*h**2 + 0 - 8\/17*h - 2\/17*h**3 = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 54, 62, 66, 60, 38, -6, -78, -184?\n\"Answer: -q**3 + 4*q**2 + 3*q + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14564043367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9069 = -13*g + 30649. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.13827 at most as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 62188 to the power of 1\/2, to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -81, -135, -197, -267, -345, -431?\n\"Answer: -4*t**2 - 42*t - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 5) to base 6\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7604 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 m when two letters picked without replacement from {o: 2, u: 3, m: 2, h: 2, y: 2, j: 1}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-8))\/(78\/(-24) - -3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 327*u - 3 - 2*u**3 - 333*u + 1 as d*u**3 + c*u**2 + o + a*u and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2654574587?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4803 and 0.1.\nAnswer: 0.5803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirteen fifths of a milligram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -527 and 5.\nAnswer: -2635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 3*w = -j + 15, -9*j + 19 = 2*w - 1 - 80 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d = 4*d + 25 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001538617413 rounded to 6 decimal places?\nAnswer: 0.000154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nfnnlnnnnnnnn. Give prob of sequence nfn.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17.5 bigger than -0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -4*v - 4, 0 = 5*v + p - 1561 + 1566 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-1)*m*m)**(-1\/4))**(2\/95)\/(m**(-2)\/((m*m**3*m)\/m)*m**(2\/9)\/((m*m**5)\/m)) assuming m is positive.\nAnswer: m**(9206\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -24 (b) 0.05 (c) 0.17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**11\/(x**5*x))**(2\/11) assuming x is positive.\nAnswer: x**(10\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -3\/2, -5.5, -5, 1, 10.\nAnswer: -5.5, -5, -3\/2, -0.3, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -0.0255178\nAnswer: 0.01020712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9.42999597 - -9.43. What is f rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 30\/(-56) - (-6)\/24. Which is the smallest value? (a) -3 (b) -0.4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 228394?\nAnswer: 456788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of -161\/3*u**3 - 53 + 0*u**2 + 195*u. Find the first derivative of g(o) wrt o.\nAnswer: -322*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -44279, -88609, -132939, -177269, -221599?\n\"Answer: -44330*j + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 99967 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 113.8+0.1\nAnswer: 113.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 AM and 9:20 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3263? (a) 2\/9 (b) -10 (c) 3 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4059 + -3997.78. Let z = q + 0.78. Let j = 62.000029 - z. Round j to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 144 = 6*w. Calculate the lowest common multiple of 4 and w.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) 0.08 (c) 0.02 (d) 13 (e) 1 (f) -0.02 (g) 20\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1839, 7340, 16511, 29358, 45887, 66104, 90015?\n\"Answer: i**3 + 1829*i**2 + 7*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3108343 and 399?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uy when two letters picked without replacement from uuyuuuyyyyyy.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -6. Let t(j) = -j**2 - 4*j + 3. Let y be t(w). Suppose 5*n - 3*d - 24 = 0, 3*d - d = -n - y. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/((k*k**(5\/3))\/k*k*k))\/k*k**1\/k)\/(k\/(k*k*k**(-2\/13)*k)*k**0))**(-8\/3))**(-25) assuming k is positive.\nAnswer: k**(-14200\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 + 1 - 1)*(-2*t - 1 + 1) + 17*t + 16*t - 9*t)*(4*t + 24 - 24) as f*t**2 + u + d*t and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2049069601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 10 = -1. Solve 7*q + 20 = g*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170126 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 523*x = 63*x + 111320. Calculate the remainder when x is divided by 23.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -142\/3, -150\/11, 4 in increasing order.\nAnswer: -142\/3, -150\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 17*0.2\nAnswer: 3.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 4*k - 8 = 0, 4*s - 3*k - 20 = -s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -359852.601 rounded to the nearest ten thousand?\nAnswer: -360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 8760 (base 9) to base 6\nAnswer: 45513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125483 is divided by 31363?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.79 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 98\/5 of a litre in millilitres?\nAnswer: 19600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, z: 2, y: 1, v: 1, p: 5, k: 2}. What is prob of picking 3 p and 1 k?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 413 + -365.6. Let l = -47 + g. Which is the third smallest value? (a) l (b) 0 (c) -4 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 2 = 0, -2*b - 2*s + 169 = 173 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 7*v**2 + 9*v + 8. Let u be g(8). Suppose u = -2*t + 24. Solve -t*i = 16, -5*a = -10*a + 2*i - 12 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**7*m*m)\/(m*m*m**(-1\/8)*m)*(m**(-2)*m*m)\/m*m**(-3)*m**(-2)\/m*m**(-2\/13)*(m\/m**(-2\/13))\/(m*m**(-6\/11)) assuming m is positive.\nAnswer: m**(-29\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -0.18679?\nAnswer: -0.093395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60 and 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, x: 3, p: 3, d: 3, b: 1}. Give prob of picking 3 d.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3653752.\nAnswer: 2, 59, 7741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 420265 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-5*12\/(-48) - (-6 + 2261\/(-76))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -16.68, 0.4, -4.\nAnswer: -16.68, -4, -1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.12 in 2, -2\/7, 8?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -42299 * -0.3\nAnswer: 12689.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*((-9)\/((-144)\/284) + -12)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4*q + 10 = -2*r, -3*q + 1 = r. What are the prime factors of (r - (-92)\/12)*6\/1?\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 36525402, 73050788, 109576174, 146101560, 182626946, 219152332?\n\"Answer: 36525386*j + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 74 in -2, -0.2, 5, -0.71?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-8\/7)\/((i**(-4)*i*i*i)\/i))**(-8\/13)*i*i**6*(i\/(i**(-1\/4)*i))\/i*(i**(-4\/9)*i)\/i*i**3 assuming i is positive.\nAnswer: i**(27119\/3276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/30)\/(400\/(-3000))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 - 9*l + 3. Let v be z(9). Let n(t) be the first derivative of 0*t**2 + 2\/3*t**v + 1 - 2*t. What is the derivative of n(y) wrt y?\nAnswer: 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -4*k**2. Suppose 2*g - g - 2 = 0, -3*n + 58 = 5*g. Suppose n = 3*w + 10. Let u(a) = 9 - 8*a**2 - 9 + 12*a**w. Give u(z(j)).\nAnswer: 64*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5577 and 1573?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 997718430.\nAnswer: 2, 3, 5, 757, 43933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (2 - (-3 - 3))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 139 - 134.18. Let p = m - 2. Round p to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 16. Suppose 0 = -5*r - 0*r + o. Suppose -r*s - s + 6 = 0. What is the remainder when s is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 120 + -119.9941. Round s to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1392.84769 rounded to zero decimal places?\nAnswer: 1393","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(1\/(-1)))\/(4\/((-3)\/(-3)))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 0.061.\nAnswer: -0.0305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -156*v + 535. Calculate t(3).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*k + 7804 + 9717. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/6 (b) -5 (c) 5\/2 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 807 a factor of 50185420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**4 + f**4 - f**4)*(-6*f + 6*f - 19*f)*(11 - 7 - 6).\nAnswer: 38*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/7 + 24\/14. Let g(x) be the second derivative of 0*x**2 - 1\/2*x**4 - 1\/15*x**6 + 0 - c*x - 1\/3*x**3 - 3\/10*x**5. Factor g(u).\nAnswer: -2*u*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 5:44 PM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.009874839 * -3\nAnswer: 0.029624517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -29970*b + 47309 wrt b?\nAnswer: -29970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1289365 and 357?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1483824 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 265*j**2 + 238*j**2 - 787*j**2 + 239*j**2 - 56 + (2*j**2 - j + j)*(0 + 2 + 0).\nAnswer: -41*j**2 - 56","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 690711202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 43 and -12163\/4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -2*z + 8, 0 = 2*v - 0*z + 5*z - 20. Suppose 6*i = 2*i - 4*h + 124, 5*h - 20 = v. Calculate the remainder when i is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 64 = 4*m. Let z be m\/(-2) - (1 - 4037). Suppose -4*p - 2*y = -z, 5*p - y = 2788 + 2269. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168*y = 32*y + 272. Let c(n) be the second derivative of 3\/80*n**5 - 1\/16*n**4 - 35*n + 0 + 0*n**3 + 0*n**y. Solve c(f) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3580 or -3472?\nAnswer: -3580","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -7*y + 7. Let n be 10\/(-4)*16\/(-5). Let k(m) = 2*m + 2 - n*m + 4. What is 5*k(v) - 4*t(v)?\nAnswer: -2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -3. Suppose 0 = 4*r - c - 10, -2 - 1 = -o*r + 3*c. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/(-1))\/(-4))\/((-54)\/324)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (975\/30)\/(-13)*24\/(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/3*(4 + (-126)\/18). Let w(t) = t**3 - 4*t**2 - 5*t + 5. Let i be w(5). What is the greatest common factor of a and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 times 139989?\nAnswer: 49696095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 444122010 - 314?\nAnswer: 444121141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/(-27) + (-183188)\/(-369). What is the greatest common factor of i and 328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-9)\/3*-1)\/(-13). Let o be (1\/(8\/20))\/((-1)\/(-2)). Put o, u, 3 in decreasing order.\nAnswer: o, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*k + 14. Suppose q + k*q = -24. Let v(m) = m - 8. Let c(i) = 3*i - 23. What is q*c(l) + 17*v(l)?\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 times -0.02?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 10:18 AM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d - 4 = 32 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000017858 to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -2, -4*i - 1145 - 185 = -2*p. What are the prime factors of p?\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express -41*f**2 + 8*f**2 + 17*f**2 - 220*f**2 + 2*f**2 - 3*f**2 + 2*f**2 + (5 - 3*f**2 - 5)*(3 - 3 + 1) as o*f**2 + q + v*f and give o.\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10150 + 18396. Is 31 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 270284 a multiple of 343?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14213 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 22*m - 14. Let h be o(2). Suppose -54 - 486 = -h*f. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ahaaaxaxafphh. What is prob of picking 2 x?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/(-5))\/(1\/5). Is 1 - (-19 + 6\/y) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of w**6\/30 - 43*w**4\/3 - 233*w**3\/6 - 227*w. Find the second derivative of p(n) wrt n.\nAnswer: 12*n**2 - 344","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 730497?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - 6*f + 21. Let w be i(-9). Suppose 17*a - 18*a = -w. Does 12 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-7 - -8) - 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -404 and -524.\nAnswer: 211696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -835836092 by -208959023.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -1\/7347?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**5 - q**5 + 4*q**5)*(2 + 2 - 2).\nAnswer: 8*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 + 6*g - 2. Suppose 8*p = 3*p + 30. Calculate the least common multiple of p and l(-7).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15244 = -3276*s - 87316 for s.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3584.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176)\/sqrt(4) + -3 + (2*sqrt(66)*5)\/sqrt(6))**2.\nAnswer: -72*sqrt(11) + 1593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 50 - 22. Suppose -2*p - o = -4*o - 19, -4*o = -4*p + z. Suppose 0 = 3*i - 2*l - 11, -p*i + 6*i = 2*l + 16. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -723.1331 and 0.2.\nAnswer: -144.62662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 AM and 5:36 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*w + 40*w = -24. Solve t = -t + w for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -29766519, -29766517, -29766515, -29766513, -29766511, -29766509?\n\"Answer: 2*a - 29766521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u - 6*u**2 + 3 - 2*u**3 + 0*u**4 + u**3 + u**4 + 2*u**2 in the form l*u**4 + z*u**2 + k*u**3 + n*u + o and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 3*h + 5*n = -656, 3*n + 6 = 0. What is the greatest common factor of 38 and h?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1338306 divided by 223051?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -139 + 1249\/9. Let r = 2.6 + 2.4. What is the nearest to -1 in r, m, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/968 and -29\/44.\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 888, 4657, 14210, 32439, 62236, 106493, 168102, 249955?\n\"Answer: 482*y**3 + 395*y + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 20 and 0.36377.\nAnswer: 20.36377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -8*l**3 + 5*l**2 + 4*l + 2. Is r(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22330022 + -4?\nAnswer: 22330013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.9001 - -923.4001. Which is the fourth smallest value? (a) -1 (b) -4 (c) t (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 133*y**2 + 135*y**2 - 269*y**2 - 2*y + 16 - 619 to the form a*y + h*y**2 + z and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 299823.\nAnswer: 3, 139, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(7) + sqrt(112)))**2 + sqrt(7)*-1*-1 + 3 - ((-4 + ((sqrt(49)\/sqrt(63))**2 - sqrt(7)) + sqrt(7))*-1 + 4).\nAnswer: sqrt(7) + 1537\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 10*v - 1. What is the remainder when 17 is divided by h(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-6) - 2\/3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87478032 take away 3?\nAnswer: 87478029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of 0*y**4 + 1\/360*y**6 - 3*y**3 + 0*y**2 + 15 + 0*y + 0*y**5. Let z(i) be the third derivative of l(i). Factor z(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of o**6\/39 - 36*o**5\/65 + 29*o**4\/13 + 144*o**3\/13 - 59*o**2\/13 - 396*o\/13 - 5042. Determine z so that y(z) = 0.\nAnswer: -2, -1, 1, 9, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2364 - 248 + 734 + 5492*x + 755 wrt x.\nAnswer: 5492","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 3*q + 141 = 0, -4*v - q = -2*q + 193. Is (-1720)\/v - (-2)\/12 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*c - 27. Solve 6 = 4*y - 2*q, -5*y + c = -q - 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 + 15*p - 20. What is f(11)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (161 - 37 + 52)*(5*b - 5*b - b**3).\nAnswer: -176*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 188876565 to the nearest integer?\nAnswer: 13743","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154821?\nAnswer: 3, 51607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 11 - 6*g + 0.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 2*z**2 - z + 1. Let p be u(2). Let x = -10 + p. Suppose -j = -x*j + 40. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -59*(0 + -1)\/(-1). Let m = v - -92. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -326 divided by 4775?\nAnswer: -326\/4775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4*t + 175 = 0. Let p = t + 42. Suppose 0 = -p*n + 11 + 24. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -112, 0, 18 in decreasing order.\nAnswer: 18, 0, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 + 21. Put 2, z, 4\/7 in decreasing order.\nAnswer: 2, z, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**3 + 3*b**3 - 2*b**3)*(2 - 6 + 1) + ((-21 + 21 + 4*b**2)*(0*b - 5*b + 3*b) + b**3 + 0*b**3 + 0*b**3)*(3 - 1 + 1).\nAnswer: -27*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 594*z - 30 = 604*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -58 - -23. What is the remainder when 17 is divided by 10\/t + (-37)\/(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3977730300 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1260.785 - 1.215. Let v = f - -1844.5. What is v rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5 + 11 = 0. Calculate the highest common factor of 40 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 155? (a) 1 (b) 4.6 (c) 3\/5 (d) 25\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 646723 to the nearest integer?\nAnswer: 804","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.1 (b) 825 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 372 and 837.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6168719868 divided by 6?\nAnswer: -1028119978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 183 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17295 is divided by 309.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 7) to base 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43007934 to the nearest integer?\nAnswer: 6558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -0.3 (b) 5 (c) 11 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2803477 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*g**3 + 1129 - 1129)*(3593 - 3594 - 34*g**2 - 43*g**2).\nAnswer: -616*g**5 - 8*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -42*l + 11 - 11. Let t(m) be the second derivative of m**3\/2 + 2*m - 346. What is y(t(u))?\nAnswer: -126*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.5 - -7. Let c = -0.21381 - 0.08619. What is the fourth smallest value in c, m, 3, -2\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 - 1 - 9) + -3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of -o**4\/4 - 9*o**3 - 243*o**2\/2 + 24*o. Solve v(d) = 0 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -2*o**3 - 6960288*o**2 - 55682190*o - 48721904 = 0.\nAnswer: -3480136, -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 86 + -8. What is the third derivative of -15*w**4 + v*w**2 - 29*w**2 - 35*w**2 wrt w?\nAnswer: -360*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 9 + 2 - 27*c in the form v*c + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 54459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5\/(15\/(-54)))\/1. Let l = 111 - h. Does 43 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**3\/9 + 3520*c**2\/9 - 7028*c\/9 + 3512\/9.\nAnswer: -4*(c - 878)*(c - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of v**8\/1176 + v**7\/21 + 17*v**6\/30 + 103*v**5\/35 + 219*v**4\/28 + 81*v**3\/7 + 591*v**2. Let m(g) = 0. Calculate g.\nAnswer: -27, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 4*n**2 - 2*n + 8. Let j be f(4). Suppose -5*r - 27 + 267 = j. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-97)\/(108640\/960)*42\/(-8)*-6?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3031 + -1095. What is the tens digit of u\/(-22) + (-42)\/77?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 330\/17 < 20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/2)\/((-2)\/(-164)). Suppose -2*q = -5*u - 3*q + 25, -4*u - 5*q = -d. Suppose 10*f**2 - 4*f**3 - 17*f**2 + 0*f + 10*f + 9*f**2 + u = 0. What is f?\nAnswer: -1, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*t**4 + 2*t**2 + 99301*t + 167468168.\nAnswer: 12*t**3 + 4*t + 99301","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 5, -5, -1.\nAnswer: -5, -1, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 348 - 961. Let k = q - 699. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3*m. Let z(y) = 0 - 3*y**2 + 6 - 6. What is s(z(u))?\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 5*h**2 - 2*h - 1. Let y be n(4). Let s = 5 + y. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 - 11 = 4*p. What is the lowest common multiple of p and 10?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*w - 6*o + 2*o, 16 = -w + 3*o. Let n be -2 + w - (13 - 12). Let i(y) = y**3 + 5*y**2 + 2*y - 5. Give i(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17637306.\nAnswer: 2, 3, 263, 11177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of -g**6\/2 + 115*g**3\/6 + 34*g**2. What is the first derivative of x(q) wrt q?\nAnswer: -180*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3339?\nAnswer: 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-11\/7)\/(h*h**(-40)*h*h) assuming h is positive.\nAnswer: h**(248\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**5\/2 - 235*v**4\/3 + 2083*v**3\/6 - 805*v**2\/3 = 0. What is v?\nAnswer: -161, 0, 1, 10\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -376 times 5\nAnswer: -1880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -193 = -4*y + 23. Is y a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7874 + 7897. Calculate the remainder when y is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 175426 to the nearest integer?\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 672588242.\nAnswer: 2, 29, 211, 54959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00268703702 to 4 dps.\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -39080 to the nearest 100.\nAnswer: -39100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*m**3 - 85*m**2 + 78498*m - 25672897.\nAnswer: 9*m**2 - 170*m + 78498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*k + 2*k**2 - 5*k + 21*k.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5201742?\nAnswer: 2, 3, 7, 13, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 128 + -127.7. Let j be 3 - (48\/28 + 1). Which is the nearest to 1\/7? (a) 4 (b) h (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9446923.\nAnswer: 107, 88289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a millisecond in microseconds?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 <= -2918\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ukj when three letters picked without replacement from kuuukututuuujvutvtu.\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/22, -1\/55, 2974, 2\/23 in increasing order.\nAnswer: -1\/55, 1\/22, 2\/23, 2974","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of s**5\/60 - 5*s**4\/24 + s**3 - s**2. Let q be b(4). Let y(v) = -v**2 - 4*v + 4. Let h be y(-4). Solve -h = -6*z + q*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + k = -18. Suppose 70*o - 52 = 298. Sort k, 1, o, -3 in descending order.\nAnswer: o, 1, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -95*q + 5253. Suppose 2*u + 44 = 3*u. Calculate the lowest common multiple of u and z(55).\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 - 1323?\nAnswer: -1303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2788\/492*(-8)\/1020.\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-2) - 1)\/2. Let g be f\/1*8\/(-8). Suppose -3*o = -3*m - 54, g = 2*m - 3*m. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 417581472 - 417581472 - 10*v**3.\nAnswer: -10*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 t when three letters picked without replacement from {t: 7, b: 2, a: 3}?\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*g - 4084 + 4084.\nAnswer: -24*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 297 a factor of 22275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.3 + -2.2999994. What is h rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-q**3 + 0*q**3 + 2*q**3)*(-2*q + 2*q - 2*q) + 9*q - 9*q - 16*q**4)*(q + q + 0*q).\nAnswer: -36*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1547.\nAnswer: 7, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of -2\/3*w + 16\/9*w**3 - 6 - 5\/6*w**2 - 3\/4*w**4. Factor u(b).\nAnswer: -(b - 1)**2*(9*b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of -3497*z**6\/30 + z**5\/60 - 1735*z**3\/3 + z**2 + 495*z - 2. Find the third derivative of b(r) wrt r.\nAnswer: -83928","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n - 3. Let g be v(-6). Let z be (-17)\/(-3) + (-6)\/g. Suppose -z*h + 75 = -170. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 - -14. Suppose x = s + 2*s. Sort 2, s, -3 in increasing order.\nAnswer: -3, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1562 and -4.7.\nAnswer: -7341.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together 40.439 and 481044510.\nAnswer: 481044550.439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1397877636 to the power of 1\/2, to the nearest integer?\nAnswer: 37388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 19937150071 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 6*p + 106 = 4*a, -a = 5*p - 37. Suppose 720349 = -a*g - 15941. What is g rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f = 27*f + 9*f - 1176. Solve 59 - f = -3*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cmx when three letters picked without replacement from ecxcmceexc.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 21000 rounded to the nearest 1000?\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in -2\/3, 1\/4, 1, 0.8?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 - 8*r - 6. Let y be p(9). Find the common denominator of 67\/84 and y*(1395\/20)\/9.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 - 9*t + 18. Give j(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 4*h**2 - h + 8. Let v be k(8). Suppose -m - v = -3*m. Let r = m - 91. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 122*a - 103*a + 70*a**3 + 105*a**2 - 69*a. Let z(p) = -10*p**3 - 15*p**2 + 7*p. Let m(b) = 3*v(b) + 20*z(b). What is x in m(x) = 0?\nAnswer: -2, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 20696468?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**2 - a**2 + 3*a**2)*(0*a - a - a).\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 161809194?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 362510290?\nAnswer: 2, 5, 1619, 22391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -37, -79, -177, -355, -637?\nAnswer: -1047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27493, 27490, 27489, 27490, 27493, 27498?\nAnswer: 27505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 684 = -3*p. Calculate the greatest common divisor of 38 and p.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 278.66701 rounded to one decimal place?\nAnswer: 278.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + 57013?\nAnswer: 57025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -237457 at least as big as -237457?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -37.3064.\nAnswer: -14.92256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 311162011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 82940 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/6400 and 109\/450.\nAnswer: 57600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 258, 0, -20.\nAnswer: -20, -5, 0, 1, 258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of -f**4\/6 + f. Let p(b) = -7*b. Let k(t) = -t. Let g(n) = -6*k(n) + p(n). Determine o(g(m)).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 22*a - 143. Suppose d - 4 = 0, -4*k + d - 24 = -8*k. Solve 0*j + a*j = k for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22013 (base 6) to base 13\nAnswer: 14c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 275 = -4*s + 1599. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*j**2 - 41 + 41.\nAnswer: 66*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 AM and 9:52 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 22 = -3*g, 5*b = -5*g + 8 + 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*o - 14*o**2 - 15*o**2 + 63*o**2 - 14*o**2.\nAnswer: 20*o**2 + 13*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 i when three letters picked without replacement from iiiivviii?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of j**6\/30 - j**4\/12 - 8*j - 3. Let c(b) be the first derivative of h(b). Find the third derivative of c(y) wrt y.\nAnswer: 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-6)\/4)\/((-3)\/264)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 578689906?\nAnswer: 2, 223, 653, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 65*c - 2 = 67*c, 4*l = c - 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 22 = f - 2*f, -2 = d. Suppose 0 = -3*a + 4*i + 125, 4*a - a + i - 115 = 0. What is the remainder when a is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/4 - -1 - -4. Suppose 22 = a - d, 6*d = 2*d - f. Calculate the remainder when 82 is divided by a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-5) - (-16)\/(-5). Put i, 11, 4 in descending order.\nAnswer: 11, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i**3 - 18*i**2 - 64*i + 12. Give c(-5).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(130)*1 + sqrt(130)))\/(sqrt(10) - (sqrt(1000) - sqrt(1000)*3)) + 0.\nAnswer: -2*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, v: 3, o: 1, b: 2, d: 5}. What is prob of sequence qd?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - j + 3*j - 8*j - 2. Let q(a) = -6*a**2 + 7*a + 2. Let c(x) = x**2. Let m(b) = 5*c(b) + q(b). Let w(d) = -3*m(d) - 4*r(d). Determine w(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5942, -5964, -6024, -6140, -6330, -6612, -7004, -7524?\n\"Answer: -3*g**3 - g**2 + 2*g - 5940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (0*2\/4)\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + -8. Let p(w) be the second derivative of w**5\/20 + 3*w**4\/4 - 3*w**3\/2 - 27*w**2\/2 - 156*w. What are the prime factors of p(v)?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7482 and 87978.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 714526 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3956246?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 457 a factor of 105217207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3))**(-29) assuming i is positive.\nAnswer: i**87","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 35) + (-1 + (-1 - -3) - -1).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 33\/5 of a minute?\nAnswer: 396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 77 - 5 = 0. Let c = -41 - l. Suppose -5*x + 6010 + 2175 = c. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 218*f - 442*f - 584*f - 28280 for f.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45842565 and 267?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1535*s + 43051 - 66310 = 48886 for s.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((24\/(-9))\/4)\/((-42)\/105)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 125884668 a multiple of 156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -461*b - 1381. What is i(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 64399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35209?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2 + -3)\/(-6))\/(1337\/(-573))?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27.8 + -27.799754. What is n rounded to five decimal places?\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 6*f. Let b = 0 + f. Suppose b*c = c - 6. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 256 + 122 = -9*p. Let j = -40 - p. Solve -6 - j = -4*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 943357864 to the nearest integer?\nAnswer: 981","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + 3*l**2 + 6*l - 3. Let d be u(4). Let i be (d + 1 + -5)\/(2\/38). Calculate the highest common divisor of i and 171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 2 = -2, 5*a - 4*z + 11 = 0. Let j be (-3)\/(-2)*(-4)\/a. What is the derivative of c**j - 3 + 4 + 1 wrt c?\nAnswer: 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*x - h, 2*x = 2*h + 1 + 3. Suppose j = 3*z - 6, 5*z + 2*j + x*j = 10. Suppose 5*p = 4*v + 9, -3*p - z*p + 10 = -5*v. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132)\/(sqrt(30)\/sqrt(5)))\/(sqrt(2) - (sqrt(90)\/sqrt(5) - sqrt(2))) + -3)**2.\nAnswer: 6*sqrt(11) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 3*s + 30. Let g be j(-13). Is -9 at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - -358a463?\nAnswer: 358a466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42174 and 15?\nAnswer: 210870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 513052 - 0.1605\nAnswer: 513051.8395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(5 + (-1*(sqrt(704) + sqrt(704)*-2 + sqrt(704)) - sqrt(704))*-2).\nAnswer: 30 + 96*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 780 = 642*n + 125 - 2555 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -229920*o**3 + 479*o**2 + 479*o + 1916. Let n(g) = -2395*g**3 + 5*g**2 + 5*g + 20. Give 479*n(y) - 5*q(y).\nAnswer: 2395*y**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 23 - 1 = -4*z, -5*z - 29 = -2*a. Suppose 5*y = -i + 6*i + 5, 4*i - y = -16. Sort 5, i, a in ascending order.\nAnswer: i, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -16\/5 (b) -2 (c) 0 (d) -321 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 539 and 245.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - w + 31, w - 1 = 2*x - 4*w. List the prime factors of 5\/(-35) - x\/((-98)\/2480).\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -4*x + 5*w + 20, 5*x = 3*w + 21. Suppose 2*n - 2*l - x - 1 = 0, -13 = -5*n + 2*l. Sort n, -2, 30 in decreasing order.\nAnswer: 30, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17191 or -17020?\nAnswer: -17191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 215290752*z**5 - 54265939*z**2 wrt z.\nAnswer: 12917445120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 3*u)*((-26 + 9*u + 26)*(0 + u + 0) + (u**2 + 5*u**2 - 4*u**2)*(-1 + 0 + 2) + 0*u + 2*u**2 + 0*u).\nAnswer: 39*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + w + 3)*(-114*w - 23 + 112*w + 9).\nAnswer: -2*w**2 - 14*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -380*g = -44*l - 804*g + 423*g - 178, 5*l + 15 = -g - 7 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13135*h + 8675*h - 3491*h - 92165*h.\nAnswer: -100116*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-8)*(-5 + 51\/9)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*k**5 + 15852*k**4 - 1181348*k**3 + 1649304*k**2 + 6414496*k - 3472896 = 0. Calculate k.\nAnswer: -2, 1\/2, 3, 76, 1904","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5475 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from -17.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3 + 128348*w**2 + 256690*w + 128344.\nAnswer: 2*(w + 1)**2*(w + 64172)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1999.1 + -1999. Which is the closest to 1\/2? (a) 2\/3 (b) s (c) -2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 4770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28)\/(sqrt(14)\/sqrt(2)))\/sqrt(2)*-2 + -3)**2.\nAnswer: 12*sqrt(2) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = 13*l - 52, -l + 9*c + 4 = 12*c for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, m: 1, q: 1, w: 1, c: 2, t: 1}. Give prob of picking 1 b and 2 w.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16.32 + 0.32. Let n = i - -20. Let p = 6 - n. Put 0.1, p, -4 in descending order.\nAnswer: p, 0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -68*a**2 + 43*a + 17. Let o(y) = 68*y**2 - 46*y - 20. Give 7*f(z) + 6*o(z).\nAnswer: -68*z**2 + 25*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/50 and 57\/2.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*d - 36*d + 21 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -85, -1\/5, -788, 5?\nAnswer: -788","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3073\/20 + -615\/4. Are -1 and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (800\/195)\/(-16)*6\/(-10).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 147 - -675. Let l = p - 823. Which is the nearest to -0.1? (a) -10 (b) -2 (c) l (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*z, 0*d - d + 4*z - 6 = 0. What is the units digit of d - (-1 + (-1)\/1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o - 13*o - 8*o + 2*o.\nAnswer: -19*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*m**2 - 6*m**2 - 2*m**2)*(-15*m**2 + 2*m**2 - 16*m**2).\nAnswer: -87*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*y = -92*y - 36 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1541219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -46 in 2\/9, -3, 0.10679?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.41 - -1.28. Which is smaller: v or 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + -11. Suppose 0 = -5*c + g - 370, 3*c + 4*g = -2*c - 370. Let q be c\/14 + -4 + (-120)\/(-28). Sort o, -4, q in descending order.\nAnswer: o, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a - 7*p + 2*p + 6, 5*p + 4 = 2*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-4 + 2 + -7 - -29).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 10*z = 11*z - 443, -5*w + 559 = -4*z. Is 37 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3020162102.\nAnswer: 2, 9241, 163411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 200 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**5 - 20*m**4 - 25*m**3.\nAnswer: 5*m**3*(m - 5)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 1 - (-2 + 10) - 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**5 + 56*z**4 - 278*z**3 + 296*z**2 + 280*z - 352 = 0 for z.\nAnswer: -1, 1, 2, 4, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*d**4*t + 7711*d + 33*t - 70 wrt d?\nAnswer: 8*d**3*t + 7711","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 9:35 PM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3545\/(-4254)*(-14)\/(-189)*3\nAnswer: -5\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -24*y**3 + y - 17. Let k(l) = -71*l**3 + 2*l**2 + 2*l - 64. Let g(p) = 7*c(p) - 2*k(p). Suppose 0*f + 4*f + 16 = 0. Is g(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-seven fifths of a centimeter?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 642338?\nAnswer: 2, 321169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + (-1 - (-14 + 0)). Suppose 0*s - s - 2*u = -2, -5*s + u = 1. Let w = 2 - -3. Solve -w*b = -s - o for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 + 0*b + 0*b + (1 + 0 - 2)*(0*b**2 - b**2 - b**2))*(-2 - b + 2).\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(3993) - sqrt(33) - (sqrt(33) + (1*sqrt(231))\/sqrt(7)))\/(-1*sqrt(33)\/sqrt(3) + sqrt(88)\/(sqrt(8) - -1*sqrt(8))).\nAnswer: -16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 245277691?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 15 = -17. What is the common denominator of k\/6*2*(-3)\/22 and 20\/9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -11110001110010?\nAnswer: 11110001102221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1891756892 a multiple of 314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1918?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 7249121*o. Let x(n) = -n**2. Determine h(x(l)).\nAnswer: -7249121*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 4 = -2*m, -35 = 198*m - 203*m - 4*f for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*i**2 + 2*i**2 + i**2)*(-2 + i + 2)*(-227 - 86 + 209) - 2*i**3 + i - i in the form s*i + a*i**2 + c*i**3 + n and give c.\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 0*j - 5*j - 92 = 0, 0 = -5*d + 5*j + 110. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*t - 7. Suppose t*s + 4*s - 1158 = 0. Let a = s - 108. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**4 - 296216*n**3 + 7313375040*n**2 - 60232918131200*n + 841828244992000.\nAnswer: 4*(n - 24680)**3*(n - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 3*o - 15. Suppose 4*u - 4*i = 0, 3*i - 18 = -o*u + 2*i. What is the greatest common factor of u and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {n: 1, q: 5, i: 3, t: 7}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 150496?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27448 + -13019. What are the prime factors of p?\nAnswer: 47, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 7:55 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 16 + -25?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20566 + -20572. Sort -45, d, -2, 2, 0 in increasing order.\nAnswer: -45, d, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 3:55 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/35 and 143\/264558?\nAnswer: 1322790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 4*d + 0 = 2, 0 = 3*r - d - 4. Let k = 3 - r. Suppose -80 = -k*m + 116. List the prime factors of m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4980 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/y**5))\/((y*y\/(y\/(y*y**(-8\/5))))\/y))**(-2)\/(y**(-5\/3)*(y**(-7\/5)\/y*y)\/y*y)**(-2\/43) assuming y is positive.\nAnswer: y**(-7316\/645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t**2 + 5*t - 10. Suppose -4*n + 5*c + 1 = -3*n, 2 = 2*c. Let d be b(n). Is d > -53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*x - 50 = 0, -202 = -3*g - 0*x - 4*x. Calculate the remainder when g is divided by 1\/6 - (-285)\/18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3188 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*3*9\/54.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c + c - 3*c)*(0*c**2 - 2*c**2 - c**2) - 224*c**3 + 135*c**3 - 41*c**3.\nAnswer: -136*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**2 + 0*n**2 + 4*n**2 + (-55 - 13 - 34)*(-n**2 + n**2 - 2*n**2).\nAnswer: 206*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 z when three letters picked without replacement from avvaazzvvazvzaavzva?\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (6\/9)\/((-4)\/(-396))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 3*l**2 - 4*l + 2. Let b be g(4). Suppose 5*s - 38 = -3*k - 9, -b*s - 30 = -4*k. Let o be k\/(-20) - (-24)\/10. Are o and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02028771 rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*m**4*o**2 - 1473*m**4 - 1480*m**2 - o**2 wrt m.\nAnswer: -48*m*o**2 - 35352*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1747 divided by 7?\nAnswer: 1747\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2304334213 (base 5) in base 10?\nAnswer: 5152433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + s = 7*x + 4, x - 5*s = -20. Let v be (3*(x - -1) - 0) + 2. Solve -v*z + 4*p = -6 - 2, -p = -2*z + 5 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 h, and 1 a when three letters picked without replacement from uaavfjaahf?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 265291437 to the nearest integer?\nAnswer: 16288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 353770?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 28 = -5*k, 0 = m + k + 3*k + 7. Let z = m - -3. Let b = -4 - z. Solve 2*l - 13 = 5*i, l - 6*i + 2*i - 11 = b for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rvrt when four letters picked without replacement from gvrgtvrq.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 387330720?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d*d**5)**(-31)\/(d**8*d)**(-26))**(-31) assuming d is positive.\nAnswer: d**434","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -b - x - 2*x, -5*x = 3*b - 175. Is 11 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8787103 is divided by 2929026?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*l**2 - 670220*l + 670215 = 0. Calculate l.\nAnswer: 1, 134043","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 612 and 1377?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, b: 1, u: 1, h: 1, x: 1, y: 1}. What is prob of picking 1 h, 1 u, and 1 x?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2633625062?\nAnswer: 2, 907, 1451833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 165*c**2 + 227*c + 8729. What is j(-164)?\nAnswer: -1603","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**3\/11 - 978264*p**2\/11 - 3913082*p\/11 - 2934816\/11 = 0. What is p?\nAnswer: -3, -1, 489136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yycjxyypjjiijixpjppp. What is prob of picking 1 y, 1 j, and 2 i?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1729588658.\nAnswer: 2, 7, 19, 59, 191, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5897191 is divided by 521.\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15273 a factor of 103831742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 9*r**2 - 2*r - 4. Let d(i) = -10*i**2 + i + 3. Suppose -p = 5*z - 6, z = -p + 4*p + 14. What is p*d(v) - 3*t(v)?\nAnswer: 13*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -26\/7, 0.13, -5\/2, 2 in ascending order.\nAnswer: -6, -26\/7, -5\/2, 0.13, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4412 + 9247. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 - a**2 + 2*a**2 - 2*a + 2*a**2. Let l be h(2). Suppose 3*u + 97 = l*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12.6 + 13. Let p = -111.18 - -112. Let r = -1.02 + p. What is the closest to 1 in 4, r, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 188 - 87. Let f = 115 - s. What is the least common multiple of f and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - (-15)\/(-6))\/(89\/(-356)). Let l(k) be the first derivative of -2\/7*k**o + 4\/21*k**3 + 5 + 0*k. Suppose l(n) = 0. What is n?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 86 + -79 + (1 - 12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4d3 + -470fd?\nAnswer: -46c2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/4851 and -157\/181566.\nAnswer: 1270962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6 (b) 0 (c) -2 (d) 0.06 (e) -7\/19 (f) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/9 + 6358*c\/3 + 37727200\/9.\nAnswer: 2*(c + 2800)*(c + 6737)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-118 - -118) + 330\/2. What is the greatest common divisor of p and 341?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 4*o - 12, 4*t - 208 + 232 = 2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4877 + -5376. Are -497 and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -6 (b) 21\/2 (c) -54 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(675) + 1)*3 - sqrt(675) - sqrt(675)))**2.\nAnswer: 210*sqrt(3) + 724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 - (3 - (2 + -6 + 22))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 19*n = -14*n, 0 = -5*h - 4*n - 33. Sort h, 1, 164, -2\/7 in descending order.\nAnswer: 164, 1, -2\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -4*v + 1385, 2*v + 6*q = 4*q + 694. Let n be (v - 0)*(69684\/14 - 6). Round n to the nearest one hundred thousand.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1770876, -3541766, -5312656, -7083546, -8854436?\n\"Answer: -1770890*p + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*f**2 + 71426928*f - 849510635 wrt f.\nAnswer: -4*f + 71426928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, k: 6}. What is prob of picking 1 p and 1 k?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-480)\/(-1664)*13)\/(15\/(-12) - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 9*u**2 - 12*u - 13. Let p be f(-10). Let h be 3 + (-1)\/((-44)\/(-20) - 2). Put 4, h, p, -4 in increasing order.\nAnswer: -4, h, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41894219711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - (36 - 37 - -17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from xkxxkxkxxxxx.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 62*t - 61*t. Solve -5*z - 2*h - 5 = -24, t*h = -z + 11 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -25, -0.1, -2\/17, 366?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4294396, 8588790, 12883184, 17177578, 21471972, 25766366?\nAnswer: 30060760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/26668)\/(8 + (-30)\/4). Which is greater: u or 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -55. Is l\/(-1)*1\/1 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11696, -23393, -35090, -46787, -58484, -70181?\nAnswer: -81878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/148)\/((132\/(-4))\/(-198))?\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 102 and 918?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 723884 is divided by 361934?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 2*k + 214 = 0. Let u = -76 + k. What is the first derivative of -20 + 5*j**4 + u - 23 wrt j?\nAnswer: 20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 117177040*a**3 - 12281393*a**2 + 5*a wrt a?\nAnswer: 703062240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of f**5\/4 + 5*f**4\/4 - 5*f**3\/6 - 15*f**2\/2 - 3*f - 20. Solve w(l) = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72 and 1804113.\nAnswer: 14432904","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wbh when three letters picked without replacement from wywbjhc.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + n**2 + 7*n + 17. Let i = -72 - -78. List the prime factors of k(i).\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 + 7*h + 6. Let q be c(-4). Let w(n) = -5*n - 7. Is w(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f - 12 = -15*f. Let m(n) = 9*n**2 - 2*n - 1. Let s be m(1). Suppose s*h - 7*h + 5 = 0. Solve f*w = -3 - h for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -221\/7 - -31. Let g be -5*2\/15*3. Suppose 0 = 3*f + 5*s - 5, -3*s + 35 = 5*f - 8*s. Which is the second biggest value? (a) f (b) v (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - (1 + (4 - 22)). Let a be d\/(-4) + 9\/1. Let j(m) = m**3 + m**2 - 19*m + 26. Let y be j(3). Solve y*p + a = -0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175) + sqrt(175)*-2)*4 + sqrt(175))**2.\nAnswer: 1575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m. Let g(z) = -6*z - 7. Let a(p) = -g(p) - 5*l(p). Let f be a(-4). Suppose -f*s = -66 + 15. Is s a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 - -1) + (-6)\/3 - -1. Put 6, 2, i in descending order.\nAnswer: 6, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*s - s - 3*s + 6)*(8 + 9 - 14) to the form d + t*s and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-4 + 114\/24). Sort -3, -1, q in decreasing order.\nAnswer: -1, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1b5c358 - 2?\nAnswer: 1b5c356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of i**3\/6 + 6*i. Let t(r) = 30*r**2 - 4*r. Let m(a) = -31*a**2 + 3*a. Let f(h) = 4*m(h) + 3*t(h). What is u(f(k))?\nAnswer: -34*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2595.\nAnswer: 3, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15269?\nAnswer: 15269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + -11110200010010?\nAnswer: -11110200010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 11216601?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -1\/9 (b) 0.386 (c) -0.1 (d) 2 (e) 1.3 (f) 1 (g) -0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0980848 and -0.2.\nAnswer: 0.01961696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = 620 - 236. Let v be (0 - 2) + 105*1. Let f = v + m. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 3*x**3 + 292476*x**2 - 3217677*x - 7605234 = 0.\nAnswer: -97503, -2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 4*r**3 - r**2 + 3*r - 3. Let p(y) = -y**2 - 9*y - 13. Let z be p(-7). Let k be q(z). Let o be (-1)\/(k - (1 - -3)). Put 6, o, 2 in descending order.\nAnswer: 6, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 688 and (-1 + 26\/(-14))*774172\/(-5144)?\nAnswer: 3440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccd when three letters picked without replacement from {c: 3, d: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 34*l**5\/5 + 34111788*l**4\/5 - 106348732*l**3\/5 + 114375128*l**2\/5 - 46151382*l\/5 + 4013164\/5 = 0?\nAnswer: -1003291, 2\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 333873.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 122777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 5:38 AM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -77 + -32327?\nAnswer: -32404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 300805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(99) - (sqrt(99) + (2*sqrt(99) - sqrt(99)))))\/(sqrt(9) - sqrt(441)*-1))**2.\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*g - 60 - 192. Let f = g - 25. Determine l, given that l + 3 - 6*l**f - 2*l + 0*l + 7*l - 3*l**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -7, -194 in increasing order.\nAnswer: -194, -7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*p - 3*p - 2*p)*(-2 + 5216*p**4 - 4080*p**4 - 2595*p**4).\nAnswer: -1459*p**5 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z**2 - 50*z**3 - 4*z**2 + 1 + 7*z - 9*z + 7*z**2. Calculate v(1).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -7\/4, 0.0596?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*d**5 + 24*d**5 + 1362*d + 1133*d + 43*d - 867*d + 20*d**4 wrt d?\nAnswer: 340*d**3 + 240*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5042 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.4749744 to one decimal place.\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -3 - (-1 - 14 - -6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4032 = -165*h - 101*h - 22*h for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -4*y - 14. Let c be h(-6). Solve 0 = 5*f + c + 5 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of 0 + 10*a - 3*a**2 - 5\/3*a**3. What is the smallest common multiple of q(-2) and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/7 of a week in minutes?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5771695 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 187 = 3*m, -2*n - 125 = -2*m - 5*n. Suppose 3*v = -j + 15, -40 = -5*j - 2*v + m. Is 21 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/2, 0.03, -4, -25\/19, 0.6, -21?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -3 - -3) + 6 + -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 70\/60 - ((-19)\/(-6) + -3). Let k(g) = c - 134*g + 69*g + 66*g. Let v(u) = 3*u + 10. Give 5*k(o) - v(o).\nAnswer: 2*o - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101010001111110010 (base 2) in base 12?\nAnswer: 18ba16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 7 - 2*r - 2*r + 5*r. Let x(z) = 2*z - 11. Let j be x(11). Let g be 7 + -3 - (j + -1 + -1). Determine t(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1699?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4563 and 3.\nAnswer: -13689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13555*j - 13610*j - 3*j**3 + j**3)*(-5*j + 4*j + 2*j).\nAnswer: -2*j**4 - 55*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -16161700 rounded to the nearest one million?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 - 7*y**2 - 6*y - 7. Determine l(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -100*i**2 + 193*i**2 - 30*i**5 - 4*i**3 - 72*i - 96*i**2 - 27*i**5 wrt i.\nAnswer: -3420*i**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 76360.53 milligrams?\nAnswer: 76360530000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-402)\/(-25))\/(-11*(-51)\/935)*(-15)\/(-3)?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - -4. Suppose 5*t - t = 4*m - 64, m - 3*t - 8 = 0. Let i be (-494)\/(-10) + (-8)\/m. What is the greatest common divisor of i and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4 - -100) + 2 + -1. Let h = -75 + k. List the prime factors of h.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 361 + -338. Calculate the remainder when 137 is divided by n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80098, 80011, 79924, 79837, 79750?\nAnswer: 79663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xdkxxxje. Give prob of sequence ejxk.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18289*c*n*u**2*y**2 - 37*c*n*u**2 + c*n*u*y**2 + 4*c*n + 2*c*u*y**2 + 3*n*y**2 - 48*n - 2*u*y**2 - 2*u*y wrt u.\nAnswer: -36578*c*n*y**2 - 74*c*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1.8, -3, 47, -0.003, 172 in descending order.\nAnswer: 172, 47, 1.8, 0, -0.003, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20827788 and 22967.\nAnswer: 3281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -385 + -183914.601\nAnswer: -184299.601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 5. Let a = -4 + 6. Let s be 1\/(a\/(-2)*-4). Which is greater: k or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7330944 * -3.\nAnswer: 21992832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 703 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1553082 is divided by 2887.\nAnswer: 2763","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 4 = 3*h, 3*z + 409765*h = 409772*h + 11 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*w + 2 = 30 + 34 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-5)*65\/52*16\/(-20).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(275))*-3.\nAnswer: -15*sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 10 = -4*c, -z + 8 = -4*c + 3. Solve c - 3 = 3*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6439.\nAnswer: 47, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2196203.7 months in decades?\nAnswer: 18301.6975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3246 from 179462290261.\nAnswer: 179462293507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 832191\/62 - 13423. Let v = q + 2\/31. What is the second smallest value in 1\/3, v, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 2.9. Suppose 2*g + 4*o - 16 = 0, -2*g - 3*o + 12 = -7*g. Which is the nearest to g? (a) q (b) 0 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0\/(n**(1\/4)\/n))**(5\/19) assuming n is positive.\nAnswer: n**(15\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539)*-2 + -2 - sqrt(539) - (-3 + 0 + sqrt(539)))**2*-1 + -1.\nAnswer: -8626 + 56*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 1430*c**2 + 34316*c + 11. Give b(-24).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, c: 3, j: 2, u: 1}. Give prob of picking 1 c, 1 u, and 2 j.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p + 272. Let b(k) = -2. What is 4*b(x) + h(x)?\nAnswer: x + 264","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1359 and 2517002541.\nAnswer: 1359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.33 and 1628.5205.\nAnswer: -537.411765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (6 + (-27 - 3) - -8) + 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*y - 170 = -8*y + 6*y for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-16)\/(-4)*2\/(-10). Let w = -24.02 + 24. Let g = 0.12 + w. What is the closest to -1\/3 in g, 5, a?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 10:03 PM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w, 3*w - 9 = -3*h - 0*h. Solve -5*o = -4*o - h for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 273 + -150. Suppose 5*w = -68 + d. Let i(y) = -2 - 7*y**3 - w + 5*y**3 - 5*y - 1. Let c(h) = h**3 + 3*h + 9. What is 8*c(n) + 5*i(n)?\nAnswer: -2*n**3 - n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-592)\/(-12)*1\/46 and -62\/27?\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -6 (b) 1\/16 (c) 1 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8176, 16350, 24524, 32698, 40872?\n\"Answer: 8174*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + 82. Let j be (2 - 48\/27) + 1780\/a. Solve -5*m - 10 + 30 = -5*h, 0 = -m - 5*h - j for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1471792?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2\/7, 5, 21.9?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**1)**15*(k**3*k)\/(k*k*k**(-2)) assuming k is positive.\nAnswer: k**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*w + 14 + 54 = -18*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 4391*n - 5738. List the prime factors of x(4).\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from iiiydidwddnindnidnii?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-4\/3)\/d)\/d*d)\/d*d*d**2\/d)**7 assuming d is positive.\nAnswer: d**(-28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 + 10*b + 13. Let a be r(11). Suppose i + a*j - 199 = 0, -5*i = 2*j + 380 - 1343. Does 18 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (217\/93)\/((-63)\/(-1107)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 4*q + 12, 4*q + 9 = d - 3. Let x(h) = 5*h + 2 - 4*h + d*h - h**2. Let m be x(0). Solve -w - 8 = 4*p, -5 = -m*p - p + 2*w for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of q**4\/4 - q**3\/2 - q**2 + 2*q. Let x be 4 - 6\/3 - -1. What is the remainder when 30 is divided by a(x)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*k**3\/7 + 5095428*k**2\/7 - 6793880*k\/7 + 2264624\/7.\nAnswer: -2*(k - 283078)*(3*k - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, c: 1, o: 1, j: 6, v: 3, x: 6}. What is prob of sequence vw?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-6)*((-19985)\/(-5) - -1). Let q = z - -83953\/42. Let h = 15395\/8 - 1928. Find the common denominator of q and h.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -756 by 3.\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -195 + 198. Let s be -2 - (h + -2 - -4)\/(-3). Which is the biggest value? (a) 0.1 (b) -0.4 (c) s (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 6 = 10. Suppose 2*i = 4*m - 51 + 15, -3*m + f*i = -32. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4902 - 583. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 367826910 a multiple of 5335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -6. Suppose 5*u - 4*w = -20, -u + 7*w = 4*w + f. Let l(x) be the first derivative of -x**3\/3 - 5*x**2\/2 + 2*x - 2. Give l(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2792 - 2784. Solve -3*o = -3*x, -n*o = -2*x - 4*o - 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g = 4*g. Suppose g = s + 2*s - 12. Solve n - a - 5 = -n, s*a = 4 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 46\/63 in 0.2, 4, -0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -1\/8, 0.4, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2771802378.\nAnswer: 2, 3, 3917, 39313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -108727, -115523, -126849, -142705, -163091?\nAnswer: -188007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 128476802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (-17 + 0) - 62\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39 (base 16) to base 12.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*l**2 - 166 - 166 + 348.\nAnswer: -6*l**2 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27336 and 50116?\nAnswer: 300696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-31240)\/(-330)*3714\/8 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -24027*t - 41062148. Determine y(-1709).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1626100600 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 195*t - 2*t**2 - 195*t - 15*t**2.\nAnswer: -17*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -840*f - 189. Let w(o) = -9*o - 2. Let i(t) = 2*h(t) - 189*w(t). Let k(z) = 14*z. What is k(i(v))?\nAnswer: 294*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c**6 + 45*c**4 - 324*c**3 + 3*c**2 - 1355 wrt c?\nAnswer: -120*c**3 + 1080*c - 1944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is u in u**3\/7 - 133489*u**2\/7 + 19068*u + 1601856\/7 = 0?\nAnswer: -3, 4, 133488","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 489 + -489.0568. Let m = 0.06372 + a. What is m rounded to four dps?\nAnswer: 0.0069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 5 - 1. Solve -2*p + 7*p + 29 = -u, g*u = 3*p - 1 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i. Let h(t) = 1629205*t**2. Give s(h(d)).\nAnswer: 1629205*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4171, -4166, -4161, -4156, -4151, -4146?\nAnswer: -4141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w**2 - 8*w - 5. What is z(6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 1:13 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/3*q**3 + 0*q**2 + 2\/3*q.\nAnswer: -2*q*(q - 1)*(q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-68)\/(-18) + 2\/9. Solve -d - b = -1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/(-2*sqrt(5) - sqrt(5)))**2 - (6*sqrt(2)*2)**2.\nAnswer: -2590\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1312*l**4 - 269.\nAnswer: 5248*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3*h = -16 - 9, -5*b + 2*h + 60 = 0. Let t be 1 + 0 + (-8)\/b. Let v be (-3)\/12 + 57\/132. What is the third biggest value in v, t, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**3 + 530*u + 76*u**2 - 72*u**2 - 533*u + 0*u**3. What is v(-3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -4*a - 42, -2*i + 3*i = a - 3. Let h(j) = -j**2 - 7*j - 4. Let o be h(i). Let s = -0.2 - -0.3. What is the third smallest value in o, s, 0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 219*n**2 - 1. Does 25 divide c(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 575066 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 + 193 + -182 + (2 - -1) + -17.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 65*t*z**4 - 321795*t*z**2 - 4984*t*z + 2157*z wrt z?\nAnswer: 780*t*z**2 - 643590*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16 by -482.\nAnswer: -8\/241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00033459 rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(-12)*y)*y**(-2\/37))**(-3) assuming y is positive.\nAnswer: y**(-1326\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 5*y**2 + 38*y + 450. Calculate r(-9).\nAnswer: 513","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 22 + -24 + (10 - 4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -850161295 divided by -5?\nAnswer: 170032259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)\/(sqrt(18)\/sqrt(12)) + -1 + (4*sqrt(170)*-1)\/(sqrt(1210)*-1))**2.\nAnswer: -52*sqrt(17)\/11 + 11613\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 84976130 rounded to the nearest one hundred thousand?\nAnswer: 85000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**2 - 39*i + 27. Calculate m(19).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or 7603?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -40 (b) 0 (c) 2 (d) 1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = g - 15. Let j(b) = b**2 - 5*b - 2. Does 7 divide j(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/7)\/((-108)\/42)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, m: 2}. What is prob of sequence ym?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/3518 and 39\/4.\nAnswer: 7036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17686437?\nAnswer: 3, 5895479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 2*k - 4 = 0, 467*k - 470*k = 3*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 297 and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, -0.0419, 0.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -85*y + 98*y + 13 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/20)\/(19\/8)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -4. Let n(d) = d**2 + 7*d + 9. Let m be n(-6). Suppose c = 3*v + 14, c + 4*c = 5*v + 40. Solve 0 = 3*u + 2*u - m*t + c, -2*u - 2 = -q*t for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -554 divided by -28?\nAnswer: 277\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 60 = -4*z. Let i be ((-11)\/3)\/(z\/450). Suppose -l - 4*x + i = -363, 0 = -5*l - x + 2422. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 215 * -0.2.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5712.3 - -5712. What is the third biggest value in 5, 1.4, l, -3, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 4 = 4*d. Let c(w) = w**3 - 3*w**2 + 2*w - 1. Give c(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 v when three letters picked without replacement from {v: 10, p: 2}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1806)\/(-1505)*35\/2.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77408.\nAnswer: 2, 41, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3198544034 a multiple of 1201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 - 15*i + 8. Let v be m(-14). Let k = 71 - v. Let p = k - 69. What is p rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l**2 + 2*l**2 + 7*l**2.\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5 - (7\/((-28)\/(-36)) + 2). Is 479 - (y\/6 + 1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.29, -1\/2, 2, -114, 12, 2\/11 in descending order.\nAnswer: 12, 2, 0.29, 2\/11, -1\/2, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3517150118 to the power of 1\/4, to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - -10. Let d = -273 - -363.5. Let m = d - 90. Which is the biggest value? (a) m (b) g (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -36 and 37.83?\nAnswer: -1361.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyayay. What is prob of sequence yy?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 25\/2 of a minute?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -466216 (base 8) to base 9.\nAnswer: -261823","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/10, 3\/2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 25*r**2 + 4*r - 98. Let z be p(25). Suppose z*d + 0*v = -5*v + 1390, -2*d + 1376 = -2*v. Is d a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -178\/169 - 36493\/3380. Let q = c + 47\/4. Put 1, q, -6\/5, 3\/2 in descending order.\nAnswer: 3\/2, 1, q, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/16019859?\nAnswer: 2\/16019859","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 392*t**2*x**3 + 51*t**2*x + 4*t**2 wrt x.\nAnswer: 2352*t**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -184, -298, -604, -1198, -2176, -3634, -5668, -8374?\n\"Answer: -16*m**3 - 2*m - 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 + 8. Let c be d(6). What is the common denominator of c\/(-126) - (-497)\/(-90) and (37\/(-3))\/((-90)\/54)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**2 + 9624*h - 11577672 = 0. Calculate h.\nAnswer: 2406","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 16 = h - 0*t, t = 2*h - 22. What is the first derivative of -5 - 6 + h*j**2 + 5*j**2 + 4 wrt j?\nAnswer: 30*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.6 and -232.\nAnswer: -371.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4182.\nAnswer: 2, 3, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**3 - 15582*h**2 - 31155*h - 15576.\nAnswer: -3*(h + 1)**2*(h + 5192)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a century in months?\nAnswer: 10080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 456736, 456720, 456704, 456688?\nAnswer: 456672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -14*x + 828. Let n be c(59). Solve 0 = n*g + 5*t - 27, -7*g - 15 = -2*g - 4*t for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-18)\/(-8) - 4\/4. Let b(i) = -i**3 + 6*i**2 - 3*i - 10. Let t be b(5). Suppose -5*q + 4 + 6 = t. Which is bigger: n or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express q**3 - 4*q**4 - 2 - q**2 + 4*q**3 + 7*q**4 - q**4 + 8*q**3 in the form x + z*q**2 + i*q + y*q**3 + s*q**4 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -0*y + 42. Suppose 8*t = 9*t - 10. Let n = t + y. Calculate the remainder when 90 is divided by n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -j**2\/3 + 173*j\/3 + 1576 = 0.\nAnswer: -24, 197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6473274 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/98 and -87\/2.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 514 a factor of 104450968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*w - m = 49*w + m - 728, -3*w = -w - 2*m + 23 - 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 3*k + 2133000. Suppose -23*o = -21*o + k. Round o to the nearest ten thousand.\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 31 = 3*h, 2*s - 2*h = -0 + 2. Let t be ((-8)\/s)\/(1\/148). Suppose 8*k - 6*k - 77 = -3. Calculate the highest common factor of t and k.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + 2. Suppose -n - i*a + 3*a + 160 = 0, 162 = n + a. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -5*c**3 + 5*c**2 + c - 8. Let z(b) = -4*b**3 + 6*b**2 + b - 9. Calculate 6*y(w) - 5*z(w).\nAnswer: -10*w**3 + w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 0 (c) -0.17 (d) 3 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 456 and 211052?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131834 is divided by 438.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -1. Suppose -16*k = -6*k - 30. Let l(x) = 64*x - 19. Let i(n) = k*y(n) + l(n). What is the tens digit of i(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 6*o**2 + 108*o - 214. What is w(-20)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (-54)\/(24\/4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + 4*r + 0*r)*(-299*r - 657*r - 126 + 112).\nAnswer: -956*r**2 - 14*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3787 - -3793. What is the nearest to -2\/3 in 5, -0.1, h?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3*i**3 - 157*i**2 - 99*i - 2496. Give h(-52).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-5)*(-25)\/(-4) + (-1362)\/540.\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3121 divide 86648476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1748, -2, 28, 5, -193 in ascending order.\nAnswer: -193, -2, 5, 28, 1748","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 4 = -1. Calculate the remainder when c*(68\/12 + 0) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -3. Let y = -37570.99925 + 37566. Let n = y - z. Round n to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 divided by -3?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u - 5 + 3*u + u**3 - 72*u**2 + 63*u**2. Let c be k(6). Let t = -85 - c. Solve t*a + 15 = a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of v**5\/20 + v**4\/2 - 7*v**3\/6 + v**2\/2 + v. Let u be b(-7). What is the remainder when (-5)\/(-1) - (0 + u) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 7260.455 decades?\nAnswer: 72.60455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -5, -1, -11, 3 in descending order.\nAnswer: 3, -1, -5, -8, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**4 - 20*a**3 + 60*a**2.\nAnswer: -5*a**2*(a - 2)*(a + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 4*s. Let a(v) = v**3 - v**2 - 2*v - 4. Let z be a(3). Let w(c) be the third derivative of -11*c**4\/24 + 3*c**2. What is z*q(g) + 3*w(g)?\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**2 + 9*p + 607. What is the least common multiple of t(-21) and 150?\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + p - 13 = 0, 2*b + b - 5*p = 27. Let f = 25 - 13. What is the greatest common divisor of b and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1, -12, -47, -118, -237, -416, -667?\n\"Answer: -2*u**3 + 3*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 622, 1411, 2200, 2989, 3778?\nAnswer: 4567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -r + 15. What is the derivative of -20 + 0*m**2 + 0*m**2 + 4*m**4 + r wrt m?\nAnswer: 16*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w + 39 = 15. Let d(s) = -73*s + 49. Is d(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101000111000010011 + 0?\nAnswer: -1101000111000010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of g**3 - 3*g**2\/2 - 2*g. Let c be a(3). Suppose -o + x = -4, 4*o - 4*x = x + c. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7449*u**6 - 168*u**4 - 6*u**3 + 207245089*u**2?\nAnswer: 893880*u**3 - 4032*u - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 0*n + 3*n - 2664, -2*r - 4*n = -1782. Suppose 0 = 3*l - 738 - r. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45063 and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 2*u**3\/9 + 46*u**2\/9 = 0.\nAnswer: -23, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 124 + -123.95. Which is the smallest value? (a) m (b) 9 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 224 and 229376?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1491054817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 184230.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7366870 >= -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.15128 + 0.129. What is w rounded to 3 decimal places?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00036987 to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44, -45, -46, -47?\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 13) in base 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 7282.\nAnswer: 14564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.01 + 0.09. Let a = 0.10000034 - m. What is a rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 15 = w. Suppose -366 = -4*t + f, w*t + 5*f = 3*t + 172. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2916 by 9508.\nAnswer: -729\/2377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 3*a**3 - 37*a**2 + 46*a - 8. Let n be r(11). Solve -9 - 33 = n*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r**16)*(r**(2\/15)\/r)\/r)\/(r**(1\/4))**37)**8 assuming r is positive.\nAnswer: r**(-3254\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y**4 + 25329*y**3 + 114081*y**2 + 88764*y - 76068 = 0. Calculate y.\nAnswer: -3, -2, 1\/2, 4226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of -3*d**4\/8 + 3*d**3 - 2*d**2 + 5*d. Let o(c) = -36*c + 75. Let x(k) = -5*o(k) + 21*s(k). Determine x(3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - 1)*(-6 - -22). Let t be (g\/(-6))\/(3\/(-9)). Let n(b) be the third derivative of -b**4\/24 - b**3 + 5*b**2 - 7. Determine n(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3197082 divided by 456726?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2615067, -2615075, -2615083?\nAnswer: -2615091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 286 and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65129 is divided by 131?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12193?\nAnswer: 89, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 n, and 1 c when three letters picked without replacement from tnthncjtttdtjtnttc.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 8820 divided by -3\nAnswer: -2940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24596 + 24601. Suppose -6*w + w - 10 = 0. Let q be w - ((-38)\/10 - 2). Which is greater: b or q?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k*k**(-2\/13))\/k)\/k)\/((k\/k**2)\/k))\/((k**(-1\/13)*k*k*k*k)\/(k*k**(-4\/11))) assuming k is positive.\nAnswer: k**(-349\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/522 and 15\/7.\nAnswer: 3654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4219750?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.66 * 0.1\nAnswer: 0.066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v + 28. Calculate m(-9).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4205 is divided by 77?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*l**2 + 3*l**2 + 2*l**2 + 3*l**2.\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5098 and 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -92, -0.5, -4, 1?\nAnswer: -92","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.4 (b) -5\/3 (c) -0.5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p - 12. Suppose 3*x = -i - 2*x + 4, -4*x = 0. Let w be j(i). Suppose 4*n + 3 + 13 = w. Which is smaller: n or -16\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.69 + 28.31. Let i = 63 - k. Let r = 31 - i. What is the nearest to -3 in 5, r, -0.8?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eveeeeeveepep. What is prob of sequence ppv?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**2 + o**2 - 2*o**2 + (161*o - 47*o + 163*o)*(-3*o + 5*o + 0*o).\nAnswer: 551*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus 732644269?\nAnswer: -732644269.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*d**3*z**3 + d**3*z + 6163*d**3 - d**2*z**3 + 3*d**2 + 92*d*z**3 + 49*z**3 wrt d?\nAnswer: -42*z**3 + 6*z + 36978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30996 and 424368.\nAnswer: 52197264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*h**3 - h**2*i**2 - 44*h*i**2 wrt h?\nAnswer: 36*h - 2*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 2*i - 5*i + 3*v, 0 = 2*i - 5*v - 10. Suppose p = -0*p + 3. Find the second derivative of i*g - 3*g**3 + 131*g**5 + p*g**3 - 113*g**5 wrt g.\nAnswer: 360*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 30*h + 51. What is the tens digit of a(13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 20*d**2 + 14*d. Is 49 a factor of y(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of -a**8\/6720 - a**7\/840 + a**5\/12 + a**2. Let z(w) be the third derivative of f(w). Factor z(p).\nAnswer: -3*p*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*r - 204 = 121*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 0.1, -0.55, -2 in ascending order.\nAnswer: -2, -0.55, -2\/5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567) - (-2*sqrt(567) + 0)) + -3*sqrt(567)*2)**2 + 4.\nAnswer: 5107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 76013 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(1620) + -1 - (sqrt(50)\/(sqrt(10) - sqrt(40)) - -1*sqrt(605))) + -5)**2*6.\nAnswer: -576*sqrt(5) + 2136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 89, 376, 859, 1538?\n\"Answer: 98*i**2 - 7*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5 + (-4 - -4) + 19. Suppose g = -2*n + 16. Suppose -4*k = k - 15. Solve -1 = -o + q, -o = -2*q - k + n for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81534 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 - l**2. Let a(f) = 5*f**2 + 0*f**2 - 6*f**3 + 0*f**2. Let k be (0 + -2)*(-9)\/12*2. Let o be k*((-2)\/(-1))\/(-9 + 6). Calculate o*a(b) - 10*c(b).\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6991 - 34954\/5. Suppose i*j**4 - 8\/5 - 4\/5*j + 6\/5*j**2 + j**3 = 0. What is j?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 165 = -10. Calculate the greatest common divisor of 15 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 16574, 2, 8 in decreasing order.\nAnswer: 16574, 8, 4, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 1:21 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6440617 + 1.835?\nAnswer: -6440615.165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + 5*m**2 + 8*m - 10. Let z be a(6). Suppose 75 + 11 = 5*k + 4*u, k - z*u - 20 = 0. Solve 3*l = t - 4*t - k, 3*l + 4*t = -22 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -59\/3, -3377 in ascending order.\nAnswer: -3377, -59\/3, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9369480 by -156158.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.03 + -0.008. Let y = 0.29 - a. Let g = 0.19 - y. What is g rounded to two dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50599683 and 80825.\nAnswer: 3233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 11:24 PM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158443 is divided by 15807.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d + 6*d + 4*u = 22, 3*d + u = -14 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that x**4\/4 - 11*x**3\/4 + 21*x**2\/2 - 17*x + 10 = 0.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.11 - -5.11. Which is the third biggest value? (a) v (b) -0.2 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 85664691 divided by -28554897\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5 + 56\/8 + 0. Let q(u) be the first derivative of u**3 + 3\/2*u**f - 4 + 0*u. Find the second derivative of q(j) wrt j.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 - 26*v - 9. Let h(p) = 3*p - 3. Let x(u) = 4*u - 4. Let i(d) = -5*h(d) + 4*x(d). Let t(b) = 6*i(b) - y(b). What is the tens digit of t(24)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 + p - 11. Let t be y(-5). Let u be ((-81)\/(-18))\/(t\/(-12)). What is the units digit of -6 - -18 - u\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) - (sqrt(70) + 1*sqrt(70)))*6)\/((sqrt(30)*2)\/sqrt(3)).\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.1, -2, -13349, -1.62?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17135 and 8165?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22 + 946\/(-44) - (-1 + 59446\/(-4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + 3 - (-7 - -4)) + -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of 59*c**4\/4 + 218*c + 59. What is the first derivative of m(j) wrt j?\nAnswer: 177*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -73d53 (base 15) in base 12?\nAnswer: -158813","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1776 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 (base 13) in base 4?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -53.5925 times -2?\nAnswer: 107.185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 10 = -2*k, 0*k = 2*k - 4*f - 16. Let m(n) = 9*n**3 + 2*n**2 + 7*n. Let u(s) = -4*s**3 - s**2 - 3*s. Give k*m(q) + 14*u(q).\nAnswer: -2*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 417 + -287. Suppose -5*i - q = -4*k - 18, -5*k - 25 = 2*i. Find the common denominator of i and (-2)\/(-6)*47\/(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 5*n - 63, -n + 15 = -r - 0. What is the remainder when 302\/8 + n\/44 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(34*(-4*(-10)\/80 + 0))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s - 24. Calculate z(6).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -191093956*m**3 - m**2 - 155503822 wrt m?\nAnswer: -1146563736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1778 divide 208351374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 110*q**2 + 115*q**2 + 114*q**2 - 338*q**2. Let v(x) = -3082*x. Give t(v(h)).\nAnswer: 9498724*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 104890211 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/395 in 2\/13, -1.2, -1\/2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 + 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*r + 18*r + 15 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 266774 is divided by 346.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -56189, -56188, -56187?\n\"Answer: q - 56190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of y**4\/12 - 47*y**2 + 275*y. Let b(m) be the first derivative of p(m). Let r(i) = 242*i. Determine r(b(o)).\nAnswer: 484*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/228 in 72, 2\/13, -3, -4\/5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36086292 by -4.\nAnswer: 9021573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -4*l - 4*y + 67, -8 = 4*y. Let w(k) = k**3 - 8*k**2 - 19*k + 32. Give w(l).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 0) + (-7 - -6) - 5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.07 (b) 16 (c) 95352 (d) 0.3 (e) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/12)\/(3\/(-6)). Solve -2*f - 2*y + 12 = 0, 2*y - y - a = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -614 - -796. Is 91 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -20549*x. Let t(l) = -500*l**2. Determine n(t(d)).\nAnswer: 10274500*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 14 = -3*v, 2*v + 2*v - 8 = -1086*f + 1082*f for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33.99981 - -34. What is p rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17)\/51 + (-10)\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 + 6)*(-64*z**2 - 13*z**2 + z**2 + 7*z**2) to the form w + m*z + a*z**2 and give a.\nAnswer: -621","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -639495.9 and -0.099501.\nAnswer: -639495.999501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 318411?\nAnswer: 3, 3931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 23007605 (base 8) in base 7?\nAnswer: 60240452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1872)\/472 + 10\/(-295)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-36)\/10824*-11*1?\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5852 and 131824.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 n when three letters picked without replacement from qnnqqqnnqnqxnnjnn.\nAnswer: 27\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 12.4774.\nAnswer: 37.4322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 - 8*c + 2. Let l be p(-7). Let f(y) = y**2 - 3*y - 1. Let j be f(5). What is the greatest common factor of l and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - -27) + (-38 - -48)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 216991*v + 9113617. What is p(-42)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + x = -4, 0 = 33*z - 37*z - 5*x + 7. Let u(t) be the first derivative of 21 - z*t - 1\/2*t**2. What is u(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2772 + -1649. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1470)\/(-1029) + 60\/7 + -2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*p + 95 = 3*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -165993704, -663974794, -1493943284, -2655899180, -4149842488, -5975773214, -8133691364?\n\"Answer: -t**3 - 165993694*t**2 - t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4 + (45\/(-27))\/(2*(-3)\/306) is divided by 33.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/((-280)\/16)*-5)\/(98\/(-2989))?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2 = 12. Let j = 556 + -557. Sort 4, j, -5, t.\nAnswer: -5, j, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 - 24926130749.\nAnswer: -24926130742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -15 + a?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 53?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/15 of a week?\nAnswer: 40320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/6)\/(3\/(-27)). Let q be 0*p\/(-18) + 59 + -1. What is the greatest common divisor of 522 and q?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*i = 7*i - 16 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36458458?\nAnswer: 2, 18229229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 91806.79 to the nearest 100.\nAnswer: 91800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*y + 36*y - 75*y + 2400 = 0 for y.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -43 + 5?\nAnswer: -3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -7*h**3 - 9*h**2 - 9*h + 9. Let y(w) be the second derivative of w**5\/20 + w**4\/12 + w**3\/6 - w**2\/2 - 5*w + 4. Determine 2*s(q) + 18*y(q).\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w + 2*w + 6*w + (-2 + 3 - 2)*(17*w - 13*w + 26*w))*(28*w**3 - 16*w**3 - 14*w**3 + w**2).\nAnswer: 54*w**4 - 27*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 82.72371 to the nearest integer.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(133)\/(sqrt(7) - (sqrt(252)*1 + sqrt(7)))*-5 + 5.\nAnswer: 5*sqrt(19)\/6 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2233\/(-53592)*(-16)\/(-33)\nAnswer: -2\/99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 253727353 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 0*k - 88 = 0. Let c = -12 - -7. Let z = c - -7. Calculate the highest common factor of k and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a meter in millimeters?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-78))\/(16\/52)*(-24)\/1\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 746 + -740. Let y(s) = s + 18. Suppose n + n = 0. Calculate the smallest common multiple of r and y(n).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x + 2*c - 29 = c - 0*c, -24 = -3*x + 4*c for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12020101212 (base 3) to base 4.\nAnswer: 121022222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -4*u - 1, -u - 22*x = -19*x + 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -44\/1783?\nAnswer: -44\/1783","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y**3 - 8*y**3 - 4*y**3.\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w + 6. Let u be r(-2). Let i = 24 - 16. What is the greatest common divisor of i and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - 68\/(-16) - 1\/4. Suppose -3*k = 0, -i*k = -3*p - p + 1600. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 199*r**2 - 191*r - 7. Let a(o) = -99*o**2 + 95*o + 4. Let c(j) = 7*a(j) + 4*b(j). What is the second derivative of c(y) wrt y?\nAnswer: 206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -208900, -209122, -209492, -210010, -210676, -211490, -212452?\n\"Answer: -74*r**2 - 208826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**2 + 5*z + 4. Let h be p(-2). Let o be 1 - (h + -17) - -3. Calculate the highest common factor of o and 247.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -6*g + 2*g. Solve r = g*r + 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1640 = 9*d - 313. Suppose 5*y - 12*y + d = 0. Calculate the remainder when 91 is divided by y.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + -20)*(-2)\/4. Let l = 2 - -3. Let n(r) = r**3 - 21*r**2 + 22*r - 31. Let u be n(20). Solve x + u = -l*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 81*j**3 + 1 + 2.\nAnswer: 81*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 857*w**2 - 2 - 7 + 9.\nAnswer: 857*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (7 - 6)\/((-1)\/(-5)). Sort -1, 3, z in descending order.\nAnswer: z, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 510 + -302. Let w = k + -115. What are the prime factors of w?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 74 = -2*m, 0 = 2*m + 2. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -18*s + 57. Let f be q(3). Solve 0 = 2*c + 2, -2*d + c = -f*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -191*q**2 + 465*q**2 - 237*q**2.\nAnswer: 37*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 8*t**2 - 26*t + 36. Let p(o) = 7*o**2 - 25*o + 35. Let c = -2 + 8. Let k(d) = c*x(d) - 7*p(d). What is the units digit of k(12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of 0*p + 0 + 6*p**2 - 19\/3*p**3 + 1\/60*p**5 + 1\/3*p**4. Let g be k(-12). Solve 2*x + 30 = -4*n, -g = -2*x + 5*n - n for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19348234517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/248574 and -55\/6.\nAnswer: 248574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 5 = q - 2*b, b + 16 = -4*q. Let i = q - -25\/4. Let s = i + -27\/28. Put -5, 1\/5, s in descending order.\nAnswer: s, 1\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.14 - -0.14. Let b = 0.2 - s. Sort 1, b, 1\/19 in ascending order.\nAnswer: 1\/19, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*h**5 + 13345*h**4 + 26730*h**3 - 53410*h**2 - 26725*h + 40065 = 0. What is h?\nAnswer: -3, -1, 1, 2671","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 30293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*b**2 - 2*b**2 - b**2 - 20*b**2 as a + u*b**2 + q*b and give u.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 2569728.\nAnswer: 1\/2569728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 49 - 46. Suppose -4*v = y*a - 362, 3*v - 188 = v - 5*a. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkpzkczzpzzzckcpzzp. Give prob of picking 3 k and 1 c.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2*u - 179 = 0, 145 = 52*j - 50*j - 5*u. Suppose 9*n + 220 = 11*n. What is the least common multiple of n and j?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3 - 0.1. Let z = k - 2.7. Round z to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.9 * -62331.883.\nAnswer: 56098.6947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of -14*d**2 + 0*d - 1\/24*d**4 + 0 + 0*d**3. Let v(i) be the first derivative of -2*i**3\/3 - 2. What is v(g(u))?\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11 - -68063?\nAnswer: 68052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 5 + 1)*(-3*q + 2 - 2)*(-180 - 605 - 26)*(-2*q**2 + 0*q**2 + 3*q**2) as y*q + i*q**2 + v*q**3 + b and give v.\nAnswer: -4866","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4292 - 26*p + 327*p + 331*p - 245*p + 435*p wrt p?\nAnswer: 822","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -p - 2. Suppose 2*i = -p*i + 800. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 65456, 65182, 64910, 64640, 64372?\n\"Answer: l**2 - 277*l + 65732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 79 and 16615596?\nAnswer: 16615596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-383083)\/(-4692) - 5\/(-20). Let q = -1397\/23 + v. Let l = q + 3\/17. Find the common denominator of 1\/6 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 905 - 906 = 3*c, 2*c = 2*j + 2 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.7 + 2.2. Let o = -166.9 + 165.4008. Let q = i + o. Round q to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 4*q + 26, 3*q - 1 = 4*q - 5*d. Let r(l) = -l**3 - 4*l - 13. What are the prime factors of r(q)?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (70\/(-6))\/5*(-288)\/336?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 459992 to the nearest integer?\nAnswer: 678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 294983?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(189)\/(-2*sqrt(3)))\/((sqrt(144) + sqrt(144) + sqrt(144)*1 + sqrt(144))*-2).\nAnswer: -sqrt(7)\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 225178743 to the power of 1\/3, to the nearest integer?\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/240 and 49\/159940?\nAnswer: 1919280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 322169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of 23*k**6\/120 + k**5\/15 - 20*k**2. Find the third derivative of x(b) wrt b.\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 c when three letters picked without replacement from {x: 9, c: 11}?\nAnswer: 33\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 6, b: 2}. Give prob of picking 2 s.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5089972*u - 173 - 1879 = -5090086*u for u.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 1010110?\nAnswer: 1010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -40187, -80375, -120563, -160751, -200939, -241127?\n\"Answer: -40188*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-8)*64\/(-24).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 9 = -2. Suppose 0 = -4*j + y + 1. Find the third derivative of -4*b**j - 2*b**4 + b**2 + b**2 wrt b.\nAnswer: -48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 + 1.9. Let q = -1.8 + u. Let h = q - 0.1. Which is the biggest value? (a) -0.2 (b) -0.5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9\/34 - -7\/102. Suppose 20 = 4*w + w. Suppose 3*d = 8*d - 15. What is the closest to -1\/7 in t, d, w?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6*(51\/(-8) + (-21)\/(-56)). Solve -3*f - 6 = k + 1, 0 = -4*f + 4*k - h for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5122705 and 2826320?\nAnswer: 81963280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -9663 equal to 2.52?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -11357, -11350, -11343, -11336?\n\"Answer: 7*a - 11364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20929, 20924, 20909, 20878, 20825, 20744, 20629?\nAnswer: 20474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 3) in base 7?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by -77.\nAnswer: 10\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 4*p**3 + 5*p**2 - 5*p - 1. Let n be 27\/12*12\/(-9) - -4. Let s(d) = d**3 + d**2 - d. Give n*i(a) - 5*s(a).\nAnswer: -a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**3 + 42*z**2 - 18*z - 28. What are the prime factors of w(-20)?\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 11*m + 33 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 5 + 1)*(-1 + 1 - 2*z) + 3*z + 0*z - 4*z + 2*z - 3*z + 4*z.\nAnswer: -14*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*h**4 + h**3 + 166*h**2?\nAnswer: -456*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1 + sqrt(98) + (5*(sqrt(98) + 4))**2.\nAnswer: 1407*sqrt(2) + 2850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 125, 249, 373?\n\"Answer: 124*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 3 = 0, 0 = 17*c - 21*z + 18*z - 195605. List the prime factors of c.\nAnswer: 2, 11, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-32)\/24*6\/(-4). Solve b*k = -4*m + 3*m - 2, -3*k = 3*m for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -503*u**5 - 1000*u**5 + 910*u**5 + (0*u + u**2 + 0*u)*(2*u**3 - 2 + 2).\nAnswer: -591*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 146*d + 240*d - 465*d. Let w(c) = -4*c - 1. Give w(m(p)).\nAnswer: 316*p - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + 1*sqrt(171))\/sqrt(9) + sqrt(76)\/sqrt(4)*3.\nAnswer: 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**3\/7 - 264*z**2 + 261*z + 11070\/7 = 0.\nAnswer: -2, 3, 615","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18*((-2784)\/9048)\/((-36)\/338).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ra when two letters picked without replacement from wsarhasgshwsasgsa?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7391 and 26028.\nAnswer: 192372948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10*(-6 + 5 + 10\/4). Let b = s - 13. Suppose -b*y = 3*a + y, y = -4*a + 12. Solve a*d + 20 = 4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3*1)\/((-12)\/(5 - -7)). Suppose 5*j - 4*w + 9*w - 20 = 0, j + 3*w = 6. Solve j*q + 9 = 0, -t*g = -q + 2 - 14 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 821 + -829. What is the biggest value in -2, t, -5\/112?\nAnswer: -5\/112","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61, 274, 797, 1786, 3397, 5786, 9109?\nAnswer: 13522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*q**3 - 31*q**3 - 392480952*q**2 + 392480952*q**2.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**5 - 35948 + 61*t**3 + 35948)*(2 - 1 + 3).\nAnswer: 4*t**5 + 244*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/8*(-16)\/(-84)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2720 and 151742880?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240*f + 236*f + 32 = 0. Suppose 13*a + 6 = f*a + 3*s, -5*s + 10 = a. Solve -4*p + a*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -11 + 27. Suppose -i*w = -3*w. Suppose -2*h - 2*h - 4 = 3*z, w = -2*z. Is -1\/3 at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45 and (-249)\/((-6)\/2) + (47 - 40)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 2:57 AM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39263.\nAnswer: 7, 71, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8575665 tonnes to micrograms.\nAnswer: 857566500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 7*l + 31. Let b be p(-7). Solve 0 = b*c - 432*c - 54 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of 81*j**4\/4 - 7*j**3\/3 + 6*j**2 - 21*j - 153. Is a(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/8? (a) -3 (b) 1\/4 (c) -5 (d) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -18*l + 15*l**2 + 4*l - 13*l**2 + 3. Suppose 66 = -0*w + 2*w. What is the remainder when v(10) is divided by w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p**2 - 3. Let x(g) be the third derivative of 0*g**3 + 0 + 0*g**4 + 0*g + 1\/30*g**5 - 35*g**2. Calculate x(i(v)).\nAnswer: 8*v**4 + 24*v**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 5*r + 25, 4*r - 7 = 3*q + 13. Suppose q = -2*h - 6, 5 = 4*k - h + 6*h. Suppose -3*u + k + 4 = 0. Solve 0 = -0*w - 3*w - u for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-170)\/(-459)*6\/(-10)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 745716667?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = a + 554226 + 2456467, 0 = 5*a - 40. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 48174*i**2 - 31629*i?\nAnswer: 96348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12624?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18685\/2412 + 2\/603. What is the common denominator of o and -21\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ptg when three letters picked without replacement from {g: 9, p: 2, t: 6}?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -38 or -36743\/977?\nAnswer: -36743\/977","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 59.74517 years?\nAnswer: 0.5974517","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71308808 divided by -31721.\nAnswer: 2248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a**2 - a**2 - 3*a + 3*a. Suppose k + k = 6. Let y(b) = -2*b + 2*b + k*b. What is y(r(s))?\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 - 12*f**2 + 29*f + 16. Let g be o(-14). Suppose g*k = 3*m - 15, 2*k + 12 = 5*m + 3*k. Solve -m*y - 12 = y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284 is divided by 156.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 26*g**2 - 6*g + 101. Let o be d(26). Let n be (-44)\/o - (-1)\/2*-4. What is the nearest to 5 in 0, 5, -5, n?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4*a - 4 = -2*a, 7 = 4*b + a. Suppose c - 5*z + b*z + 9 = 0, 3*z = 0. Is 16 a factor of (-6)\/c*(1 - -47)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 13*k - 2*k = 0. Let j(a) be the third derivative of a**2 + 0*a + 1\/30*a**5 + 0*a**4 + k*a**3 + 0. Let x(q) = 2*q. Calculate j(x(u)).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -2\/7 (b) -1 (c) 6 (d) 31\/3 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -1471?\nAnswer: -1476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 6418200 to the nearest ten thousand.\nAnswer: 6420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**3 - 10*f**2 - 8*f + 36. Let y be d(8). Let v = 358 - y. Solve -v*r + 5 - 7 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 59\/4 of a millennium?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxtttttttxxtt. Give prob of picking 4 x.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 149*b**2 + b. Let t = 5 + -4. Let g = 2 - t. Let s be k(g). What is the greatest common factor of s and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -294.9 - -299.9. Sort r, -0.3, 22\/703 in descending order.\nAnswer: r, 22\/703, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 2:24 PM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -319*o + 7 = 3*b - 323*o, -4*b + 3*o = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2*t = 0, 0*j = j + 4*t. Suppose -105 + 30 = -5*o. Suppose j = 5*c - 0 - o. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1087 - -1089. Which is the fourth biggest value? (a) 0 (b) o (c) -1\/7 (d) 39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9.155 times -51\nAnswer: -466.905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = 99*c - 102*c + 15, 5*c - 54 = 3*x for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 9) to base 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - 1 - (64 - 69). Solve 0*j**2 + 7*j**2 + 8 - p*j**2 - 2*j**2 + 5*j + 16 = 0.\nAnswer: -3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - -5 - 564\/(-4). Let d = 146 - p. Let y(f) = -12*f**2 + f. Calculate y(d).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -333454342 (base 6) in base 9?\nAnswer: -12351828","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1361*z - 42 = 1355*z. Solve 0 = -z*d + d + 18 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 10*b**2 + 94*b - 905. Calculate m(11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 15319\nAnswer: -1531.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -43*a**2 + 9*a**3 + 336*a + 20*a**3 + 5*a**3 + 2880 - 33*a**3 = 0.\nAnswer: -5, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gk when two letters picked without replacement from bckcbssbbbsgbkbbbkt?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jjijjjjjjjjj?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and -35.64106.\nAnswer: -35.54106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 63*l**2 - 59*l**2 + 121*l**2 - 3*l**3 to b*l + n + s*l**3 + q*l**2 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -1. Let f(u) be the second derivative of u**3\/6 + 5*u**2\/2 - 530*u. Let s(n) = 15*n**2 + n + 1. Let t be s(-1). What is t*p(k) + 3*f(k)?\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.2297579 * 20\nAnswer: 4.595158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2566.1 + 2264?\nAnswer: 4830.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 1:13 PM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of -3448*k**5\/5 + 4730*k + 3774. Differentiate t(w) with respect to w.\nAnswer: -13792*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 693 times 335\nAnswer: 232155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - x + 20 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1957*k**2 - 1030*k**2 - 17 - 918*k**2.\nAnswer: 9*k**2 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 122*q**3 + 6*q + 8*q - 31*q**5 - 122*q**3 wrt q?\nAnswer: -620*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + 9*y. Determine r(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 2 + 14 - (-26 + 23)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 - 578 = 9*m. Let o be 61 - (-2 + 2)\/(-1). Let q = o + m. Solve 3*r + q = -0*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xuxx when four letters picked without replacement from uuuuuxuuuuxxuu?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dddd when four letters picked without replacement from {a: 7, d: 7}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -w - 3*v - 16, 0 = 4*w - v - 12. Solve c + 6 = x - 4, -4*c + w*x = 30 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7888450?\nAnswer: 2, 5, 157769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*l**5\/3 - 19180*l**4\/3 - 1398010*l**3 - 101280960*l**2 - 2598958485*l - 8863172820 = 0. What is l?\nAnswer: -69, -4, 4047","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 274 + 174. Is f a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-98)\/12 + ((-416)\/(-40) - (0 - (-4)\/10)).\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3\/2)\/b**(1\/15)*(b\/(b*b\/((b\/(b\/(((b**(1\/17)*b*b)\/b)\/b)))\/b)*b))\/(b\/(b\/b**(-15))))**(17\/4) assuming b is positive.\nAnswer: b**(5351\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2760926.\nAnswer: 2, 7, 199, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 629702?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7660279*a**3 + 31*a + 26275 wrt a.\nAnswer: 45961674*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5127*a**3 + 228?\nAnswer: 15381*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-58)\/(-783) + (-536)\/(-54). Solve 0 = 11*i + f*i - 9*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.38 + -0.02. Suppose 0 = 4*j + j. Suppose j = 5*a - 10 + 5. What is the closest to -5 in p, a, -1\/8?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68 and 4039708.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.79128 hours to microseconds.\nAnswer: 20848608000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -70*r**2 + 26*r - 20. Give c(1).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2 = -1. Let q be 2\/(-4)*10\/(-3). Let i = -309 + 307. What is the closest to y in q, i, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -370897, -741792, -1112687, -1483582, -1854477, -2225372?\nAnswer: -2596267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lwllwwwllll. What is prob of sequence lwwl?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 121 - 116. What is the closest to 4 in w, -0.2, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -4*q + 55, -26 = -3*t - 4*q + 115. Suppose -67*h + t*h + 360 = 0. Solve 9*s - 6 = -h for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -13. Let l(b) = -b**3 - 2*b**2 + 3*b + 4. Let o be l(-3). Let n = o - r. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(-1) + 1 + -2. Suppose -3*s + 2 + 1 = 0. Let f = s - x. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 21 - (-10 + 56)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/8 + 13*d**2 + 305*d\/8 + 101\/4.\nAnswer: (d + 1)*(d + 2)*(d + 101)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 105*m**2 + 128*m - 2293. Let c be f(106). Solve 0 = c*z - 34*z, 0 = -3*q - z - 9 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qkkhkehekhkhkehkhehh. What is prob of picking 1 h, 1 k, and 1 q?\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -386*r - 309*r**2 + 106*r - 4900 + 305*r**2.\nAnswer: -4*(r + 35)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -5. Let k(v) = 811*v**2 + 4*v**3 + 0*v - 9*v - 802*v**2. Let h(l) = 2*l**3 + 4*l**2 - 4*l. Calculate d*k(w) + 9*h(w).\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + 2 + 0 + 1. Is -5\/7 not equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 99 + -62. Suppose 0 = -5*t + j - 12. What is the nearest to 0.1 in t, 0.3, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 4 - 2. Suppose 2*s = -2, -v*t - 3*s + 3 + 0 = 0. Solve 2 = t*z - 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -80941 divided by 2611?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1484 + 1579515034?\nAnswer: 1579516518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23502*a**2 + 8*a**3 + 23502*a**2.\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -359 - -334.7. Let v = 5.4 + x. What is v rounded to the nearest integer?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-13) + (-19)\/39\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 j, and 2 q when four letters picked without replacement from {d: 6, q: 2, j: 2, l: 1, h: 1}?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.431191l in millilitres?\nAnswer: 3431.191","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 + 1663*z - 23489. Determine a(14).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 l when four letters picked without replacement from {r: 5, i: 3, l: 3, u: 2}.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27204826.\nAnswer: 2, 11, 1236583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 8. Suppose m*z = -5*z + 30. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 373965 at most 373967?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 + (1 + -7)*(-4)\/(-12). Suppose -t*h + 6 = -z - 0*h, -5*z + 6 = -h. Let o(d) = -d**2 - 3*d + 3. Calculate o(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of j**6\/240 - 109*j**5\/120 - 14*j**2 + 149*j. Determine k, given that n(k) = 0.\nAnswer: 0, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14964332?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 3*m - 2*m**3 + 490*m**4 - 261*m**4 - 226*m**4 to the form a*m**2 + g*m**4 + n*m + t*m**3 + c and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 76 - 75.57. Let o = i - -18.57. Let l = -317 - -317. Sort l, -1, o, -2 in descending order.\nAnswer: o, l, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 n, and 1 g when three letters picked without replacement from {s: 1, n: 1, p: 2, g: 3}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -19476.275 to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (4\/6)\/((-4)\/36)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3286?\nAnswer: 2, 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of -3*w**6\/5 - w**5\/10 + 9*w**4\/4 - 599*w**3\/2 + 13*w + 9. Find the second derivative of h(y) wrt y.\nAnswer: -216*y**2 - 12*y + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y - 3. Let g be j(4). Suppose 5*p - 485 = -5*z, p - 5 + g = 0. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -34, 0.02 in ascending order.\nAnswer: -34, 0, 0.02, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 5*r**2 - r - 4. Suppose -15 = -22*z + 27*z. Let g(q) = 6*q**2 - 2*q - 5. Give z*g(w) + 4*v(w).\nAnswer: 2*w**2 + 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -57*c**3 + 2673*c**2 + 3018*c + 288.\nAnswer: -3*(c - 48)*(c + 1)*(19*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -98*w**3\/5 + 726166*w**2\/5 - 414832*w + 296280.\nAnswer: -2*(w - 7407)*(7*w - 10)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 + 13*i - 4*i**2 - 8*i + 193 - 186. Calculate the lowest common multiple of a(0) and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = k + 2 - 3, -4*o = 4*k - 4. Let u = -0.24 - -10.24. Let s = u - 1. Which is the second biggest value? (a) 4 (b) k (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 337 is divided by 85.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 11*y + 20. Let u(i) be the second derivative of i**4\/12 - i**3\/3 + i**2\/2 + i. Let w be u(y). Solve w*s + 4*s + 8 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of s**5\/4 - s**4\/6 + 11*s**3\/3 + 2348*s**2. Let i(b) = b**2 + 7*b + 9. Let q be i(-6). What are the prime factors of v(q)?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-z - 2*z + z)*(-2*z**3 + 4*z**2 - 4*z**2 + (12*z**3 - 21*z**3 + 12*z**3)*(1 + 4 + 8)) to x*z**2 + o*z**3 + q*z**4 + f + k*z and give q.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of d**3\/27 - d\/9 - 13. Solve c(f) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s - x + 5, -s + 2*x - 4*x - 1 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 705*r - 4234. Calculate d(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*n - 12*n + 1 = 5*j, 4*n + 7 = 3*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 87294 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 5*w - 22 + 7, -4*h - 15 = -5*w. Let u(y) = y**3 - 9*y**2 + 4*y + 8. Let s be u(9). Suppose -s = -2*a - 9*a. Solve 0*t - a*t - 8 = h for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-2)\/(-10)*15\/9\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 14340 and 166010.8322.\nAnswer: 180350.8322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 a factor of 425808188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 - 44. Let w = k + 13. Let v = 0.34 - -0.06. Sort w, v, 1 in descending order.\nAnswer: 1, v, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -15*t + 21. Let n = -19628 - -19644. Calculate d(n).\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 22. Suppose -4*v - m = -23. What is the remainder when (v\/6)\/((-2)\/(-738)) is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/63, 0.2, 6\/7, 130, -2?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4623, -9182, -13753, -18360, -23027, -27778?\nAnswer: -32637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1238 - 8672\/7. Let r = -2\/185 - 551\/370. Which is the fourth biggest value? (a) -17 (b) r (c) j (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -21*y + 902. Let h be n(39). What is the greatest common divisor of 3071 and h?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 150331?\nAnswer: -150323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 16*-15.52858\nAnswer: -248.45728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 28281553?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -220988, -441996, -663050, -884174, -1105392, -1326728, -1548206?\nAnswer: -1769850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 (base 14) in base 12?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -479\/455?\nAnswer: -479\/455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 3*s**3 - 40*s**2 - 243*s + 8. What is f(-5)?\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - 10*c**2 + c + 12. Let t be b(-10). Let z(q) = -5 + 5 + 2*q**t. Let n(a) = 2 - 2 - 5*a. Give z(n(g)).\nAnswer: 50*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -8 (b) 4 (c) -0.049006 (d) -2.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2688 divided by 2\nAnswer: -1344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4929.859cm to kilometers.\nAnswer: 0.04929859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/209 + (-312)\/570\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -7*a**2 - 4. Let f be (-180)\/(-81) + -5 + 2\/(-9). Let m be 2*(-4 + f + 4). Let j(d) = -d**2. What is m*j(t) + l(t)?\nAnswer: -t**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 271 + -266. Suppose t = 0, a*s - 8*s - 4*t + 48 = 0. Calculate the highest common divisor of 208 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 288*l**3 + 3*l**2 - l + 1. Is x(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245363 is divided by 81784?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.9 + 1. Suppose 2*k + 8 = 0, -2*k + 9 + 5 = -2*v. Let t be (6\/15)\/(v\/5). What is the nearest to o in 0.1, t, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 3*m = -37, -7*m + 12*m = -2*y + 10 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/858636 and 71\/429318.\nAnswer: 858636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {b: 1, w: 2, y: 2, m: 1, s: 1, n: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*q - q. What is the smallest value in 4, q, 0, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 + (-108)\/(-45))\/(4 + 66\/(-12)). What is the third biggest value in h, 2, -592, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*v**3 + 14*v**3 - v**4 - v**3 + (2 - 4 + 2*v - v)*(12*v**3 + 13*v**3 - 28*v**3) to the form s + a*v**3 + r*v**4 + q*v + d*v**2 and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11772391 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -291\/64 (b) -27\/13 (c) 1.9 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.23 - -0.3. Let r = -0.37 + s. Let y = 0.3 + -0.2. What is the smallest value in y, 2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -261, -260, -257, -252, -245?\nAnswer: -236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2319 + 2685*x - 1296*x - 1385*x as k*x + f and give f.\nAnswer: -2319","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -39. Suppose 2476 + 1574 = 30*m. What is the remainder when m is divided by n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*6\/(3 - 0). Suppose -2*l = 5*o - 24, 45 = p*o - 2*l + 15. Calculate the remainder when 99 is divided by (10\/o)\/(5\/75).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/8738 and 123\/87380.\nAnswer: 87380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.36443999 to 2 decimal places.\nAnswer: 4.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*x + 24*x = -49*x + 102225. What is the least common multiple of 425 and x?\nAnswer: 59925","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*v + 204*v = 4054260. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4111.9 times -0.5?\nAnswer: 2055.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/5352 and -62\/3.\nAnswer: 5352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 92703.45km?\nAnswer: 92703450000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 7:20 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6152\/5383)\/(1\/7).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6.9 and 0.13683.\nAnswer: 0.944127","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-6*9\/27).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-261135)\/(-5805) - 62\/(-3999).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -107204 (c) -47 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = 7*h + 2*h. Let x = -13 + 37. Let o = -22 + x. What is the lowest common multiple of o and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 192*x**2. Let i(u) = -8*u**2. What is o(i(d))?\nAnswer: 12288*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 64*d - 350 = 0, -5*d - 125 = -150 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-2*sqrt(204)*2 - (sqrt(204) + (sqrt(204) - 5*(sqrt(204) - sqrt(204)*-1))))\/(sqrt(48)\/(sqrt(4) + -3*sqrt(12)\/sqrt(3) - sqrt(4))))**2*-2.\nAnswer: -4946 + 240*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 - 1)*(-p + 3*p - 6*p)*(-6 - 5*p + 6) as w*p**2 + v*p + d and give w.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 1 - 1)*(2 - l**2 - 2) + l**3 - 3*l**3 - 2*l**3 + l**3 - 38*l**3 - 104*l**3.\nAnswer: -143*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6916 and 38?\nAnswer: 6916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/7 (b) 2 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = 4*j + 2*i - 8*i - 48, 41*j - 37*j = -9*i - 69 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 3*p - 59, -5*p = -5*i + 103 + 57. Suppose 6*h + 20 = 2*h, -3*g + i = -5*h. Let b = -5.9 - -0.9. What is the second smallest value in b, -2, g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/13 or -2\/1257?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 369.264 - -1.136. Let m = -55.4 + u. Let j = m - 313.47. What is j rounded to one dp?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.2, -11.7, -9\/2, -19?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 24) + (-24 - -54).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((-108)\/116)*12\/24*-18?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 61576870?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 612*t**2 + 3054*t + 29. Calculate b(-5).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 61 = -7*t, -96*o = 5*t - 197*o + 97*o + 55 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -6. Let t be (5*6\/150)\/1. Which is the closest to -1? (a) t (b) h (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -42 * 81.\nAnswer: -3402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 24 (c) -5105658\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2d - -9be4?\nAnswer: 9c11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/3812 and -5\/428.\nAnswer: 407884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/1)\/((10\/(-5))\/(-2)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26604720 a multiple of 1695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.7, 0, 5, -2, -3\/8 in ascending order.\nAnswer: -2, -3\/8, 0, 0.7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 - 64 = -9*v - 12. Solve -2*b - v = -5*j + 6, 5*b = 4*j - 23 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 235.6 and -95.\nAnswer: -22382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 q when four letters picked without replacement from hhohqohq?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 448\/64*(-400)\/70?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/616 and -69\/2296.\nAnswer: 25256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 93, 181, 265, 345, 421, 493, 561?\nAnswer: 625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 102 and 3046179.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*a - 32*a**3 - a - 11*a.\nAnswer: -32*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -d**4\/6 + 56*d**3\/9 - 77*d**2\/3 + 100*d\/3 - 766. Factor a(m).\nAnswer: -2*(m - 25)*(m - 2)*(m - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-4) + (-21)\/140. Let o(d) = -d + 13. Let m be o(9). What is the closest to -0.1 in n, m, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + 3. Let m(h) = 2. Let t = 183 - 190. Give t*m(s) + 4*d(s).\nAnswer: 4*s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 920 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*o - 2*w + 63, 0 = -3*o + 349*w - 350*w + 33 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 10*m**3 + 72*m**2 - 119*m + 468. What is f(4)?\nAnswer: 1784","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5694 and 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 + 6*v - 2. Let y = 13 - 8. Let m be k(y). Suppose -8*g = -m*g - 45. Is 9 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = 4*i, 0 = 95*g - 90*g - 3*i for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 - 2*t - 1. Let n be b(-1). Let g(y) = -y**2 + 3*y**2 - 5*y**n + y + 2. Suppose 0*d = d - 2. Give g(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 + 2\/(-1) + -17. Let v be ((-2)\/3)\/(5\/h). Suppose -5*b + 4*m = 20, m - 4 = b + 1. Solve v*g = -2*q, 3*q + g + 4 = -b*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*y + 373 - 203 + 690 = -295 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 212 and 1002.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 889098 and 501?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, h: 2}. What is prob of picking 3 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -19*u**3 + 8*u**2 + 23*u. Let k(n) = 6*n**3 - 3*n**2 - 8*n. Let r(w) = 8*k(w) + 3*z(w). Find the second derivative of r(h) wrt h.\nAnswer: -54*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3615 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 2) + 16 + 1 + -26 + 18\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -1312*z - 6488*z + 4725*z - 15811*z in the form d + l*z and give l.\nAnswer: -18886","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-1)\/j*j)\/j)\/(j*j**(-1\/21)*j)*(j**(-1\/8))**(-1\/4) assuming j is positive.\nAnswer: j**(-1963\/672)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - z = 31, -2*d + 15 + 4 = -5*z. Let j = 20 - d. Solve 3*s + 4*t = -t + 30, j*s = t + 12 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 955082\/10 + (1\/(-5))\/((-10)\/40) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 9:36 AM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 17 + 5. Let r be ((-140)\/i)\/(1 - 702004\/702000). Suppose -r = -5*s + 12*s. Round s to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2. Let w(k) = k**3 + 5*k**2 + 4*k - 9. Let b(o) = 5*i(o) - w(o). Let z be 2\/2*1 + -4. Determine b(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 11:18 AM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.6 - -1. Let g = 27\/7 - 26\/7. Which is the nearest to 1? (a) 2 (b) u (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -71 - -61 - (-22 + -1).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 32*f + 4. Let h(n) = 23*n**2 - 20*n - 8. Let b(v) = 920*v**2 - 805*v - 322. Let r(w) = 4*b(w) - 161*h(w). Give z(r(d)).\nAnswer: -736*d**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1754 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -160 (base 16) to base 3\nAnswer: -111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 4*p - 584, -b - 3*p - 105 + 688 = 0. Let z = b - 339. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + 9. Let f = v - 9. Let 3*l**3 - l**4 - 3*l**3 + 5*l**f - 4*l**3 + 2*l**2 = 0. What is l?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of 43*g**4\/24 - 4*g**2 - 1. Let j(t) be the second derivative of i(t). Let q(v) = 2*v. Determine q(j(z)).\nAnswer: 86*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -37+5146931524054\nAnswer: 5146931524017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27324857, 54649705, 81974553, 109299401?\nAnswer: 136624249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 + -21 + -9 + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 4*k**4 + 3*k**3 + k**2 - 3*k. Let r(i) = -5*i**4 - 2*i**3 - 2*i**2 + 2*i. Let q(u) = 4*a(u) + 6*r(u). What is the third derivative of q(z) wrt z?\nAnswer: -336*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of s**3 - 5*s**2\/2 - s + 1. Let a be 2*5*(-15)\/30. Let q be k(a). Calculate the greatest common divisor of q and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 8:38 PM?\nAnswer: 10:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/18*(-9)\/(-27).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3179 + 3578. What is the remainder when l is divided by 39?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 9:53 AM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w. Let i(m) = 11*m**3 - m**2. Let g(n) = -f(n) + i(n). Determine g(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(896) + sqrt(896))\/(sqrt(392)*-1))**2.\nAnswer: 144\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3212415)\/(-60))\/((-6)\/(-8)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.73 and 3541.\nAnswer: -20289.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -5*f**2 + 1 + 5*f + 0*f + 2*f**3 + 3 - 3*f. Let j(r) be the second derivative of -r**4\/12 + r**2\/2 - 10*r. Determine b(v) - 5*j(v).\nAnswer: 2*v**3 + 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 45 = 2*z. Let m = 3 - z. Let i be (-12)\/m*(-30)\/(-4). What is the highest common factor of i and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 34, 11, -12, -35, -58?\n\"Answer: -23*s + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 5*o**2 + 4*o - 4. Let h(k) = -14*k**2 - 12*k + 11. Determine -4*h(t) - 11*i(t).\nAnswer: t**2 + 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1089.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*n**6 + 13*n**6 + n**2 - 4*n**2 wrt n.\nAnswer: 360*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = m - 1. Let s be (32\/m)\/((-2)\/(-5)). Let p be (s\/12)\/((-2)\/(-9)). Solve 0*k + 3 = -p*h + 2*k, -2*k = 2*h + 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32 or 219\/7?\nAnswer: 219\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 244 + 270 - 1778*v**2 + 1771*v**2 + 3*v**2 + 0*v**2 - 2*v**2 + (4*v**2 - 4*v**2 + v**2)*(-1 + 0 + 3) in the form d*v + b + s*v**2 and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 76.9528 + -0.0043.\nAnswer: 76.9485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 238251273?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.1541193 rounded to 3 decimal places?\nAnswer: 10.154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -2.5. Suppose -o + 4 = u, -3*o + 8*o = 0. Which is the biggest value? (a) x (b) -5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10.95 - 11.05. What is the nearest to v in -0.23, -3, 5?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 59.572 in 3, 9\/8, 1\/2, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = -3*d - 5*a, 5*d + 539086*a = 539083*a - 37 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 140\/(-18) + (-2)\/9. Suppose 15 = -g - 3. Let p be ((-3)\/(-2))\/(g\/120). Which is smaller: s or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0011518 to 5 decimal places.\nAnswer: 0.00115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 - 27*z + 32. Let w be l(-28). What is the third derivative of -17*h**4 + 12*h**w + 7*h**4 - h**3 - 23*h**2 + 3*h**4 wrt h?\nAnswer: 120*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7274, 7264, 7248, 7226, 7198, 7164?\nAnswer: 7124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.009 - -0.00961. What is a rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.62 - 1887.\nAnswer: -1886.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + z - 45 = 2*z, 3*z + 114 = -5*c. Put c, 2, 0.3, 2\/3 in descending order.\nAnswer: 2, 2\/3, 0.3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 558 - 1429 = 5*b - 691, 44 = -3*w + w - b for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53 divided by -163.\nAnswer: 53\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2325277 a multiple of 155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-152 - 11 + 12)*((-2*c + 3*c + 0*c)*(1 + 2 - 4) - 4*c + 5*c - 2*c + (c - 4*c + 2*c)*(-2 + 0 + 4)) as i*c + y and give i.\nAnswer: 604","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 535*f**2 + 11107*f - 152. What is s(20)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -137, 292097, -5 in increasing order.\nAnswer: -137, -5, 292097","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 969268859 a multiple of 521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1*sqrt(252) + -1).\nAnswer: -30*sqrt(7) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*p = -97*p + 8. Let x = -34 + 237\/7. Which is the second smallest value? (a) x (b) p (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52157349?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 29 = -2*a + 7*a, -4*l - 87 = -3*a. Suppose 15*h + 192 = -25 - 38. Is h at most l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i + 21 = 3*i - 3*v, -v - 13 = 3*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.351 less than -0.4?\nAnswer: -1.751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2135066 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 468*u = 152*u + 438*u - 10980 for u.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 15, m: 3, g: 2}. Give prob of sequence wm.\nAnswer: 9\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 20557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -4*m - 35412, -2*m + 18 - 24 = 0. What are the prime factors of d?\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vmm when three letters picked without replacement from mmmmmvmmmmmmm?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.2 - -1.44. Let p = -0.12 + v. Round p to 2 decimal places.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*v**3*w**3 - 2*v**3*w**2 + v**3*w - 2*v**2*w**2 + 30685*v*w**5 + 2*w**2 wrt w.\nAnswer: -12*v**3 + 1841100*v*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 4. Suppose 2*n + w - 5 = 0, -a = -n - 4*w + 15. Let t = 6428 - 6431. Put t, 5, n in ascending order.\nAnswer: t, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 13. Solve 0*k**5 + k**u + 2*k**3 + k**2 - k**4 + k**3 - 4*k**3 = 0 for k.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -17*y - 311. Let u = -742 + 716. Is i(u) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17\/3 - 91\/15. Let p = 6.4 + -6.4. Sort v, p, -4 in decreasing order.\nAnswer: p, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 64*m**2 - m. Let d(c) = 33*c**2. Calculate -5*d(h) + 2*w(h).\nAnswer: -37*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a microsecond in nanoseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 640 and 11440.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (439 - 2*a + a - 431)*(-44 + 44 - 57*a).\nAnswer: 57*a**2 - 456*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 0 - -4) + (-5 - 5)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 w when three letters picked without replacement from {d: 8, w: 4, e: 2, n: 1, x: 3, z: 2}?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwc. What is prob of picking 3 w?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2379438.\nAnswer: 2, 3, 67, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) -6\/2677 (c) 7 (d) -13.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 45 + 48*w - 23 - 26*w - 22. Let k(d) be the third derivative of -5*d**4\/24 - d**2. Calculate k(y(b)).\nAnswer: -110*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (678\/4)\/(18\/24). Let i be (0 - 2) + -1 + 0\/1. What is the remainder when (r\/i)\/(4\/(-6)) is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*u**2 + 189*u**2 - 160*u**2.\nAnswer: 122*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11407*x**2 + 3 + 0 - 3.\nAnswer: -11407*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 878658?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 150 and 3950?\nAnswer: 11850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3789.106nm?\nAnswer: 0.003789106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4493.97mg in nanograms?\nAnswer: 4493970000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -831 at most as big as -832?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -571.2047 * 0.5\nAnswer: -285.60235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-60 - -64)*6\/8. Put -2, l, 0.03 in decreasing order.\nAnswer: l, 0.03, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 7*p**2 + 27*p + 10. Let s be y(-3). Which is the closest to s? (a) 0.2 (b) 2\/47 (c) 1 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95447083?\nAnswer: 47, 2030789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s + 3 - 3*s - s.\nAnswer: -s + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ulugguz. What is prob of sequence lg?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3082.\nAnswer: 2, 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 - 47 - 102*j + 37 as x*j + k and give x.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -659930, -659928, -659926, -659924, -659922, -659920?\n\"Answer: 2*y - 659932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ot when two letters picked without replacement from loolutllkl?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 140 - 138. Put y, -2\/5, -0.5 in descending order.\nAnswer: y, -2\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2169*y + 2146*y - 460 for y.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 1043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 3 (b) -3 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -540 + 616. What are the prime factors of (-1 - -10)\/(d\/4712)?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one sixth of a minute?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7083?\nAnswer: 3, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6839 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g\/((g*g**(2\/3))\/g))**0\/((g*g*g**(-4\/9))\/((g\/(g\/g**(-1\/4)))\/g)))**(-32\/3))**(-7) assuming g is positive.\nAnswer: g**(-5656\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 18848819537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 14\/235, 5\/204, 2\/11, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 518.\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 205128507?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5596256772 to the nearest integer?\nAnswer: 1775","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (1 - (4 - 6))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -68*359\nAnswer: -24412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 186087*b**3 - 186073*b**3 + 6.\nAnswer: 14*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11465696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 365782.\nAnswer: 2, 37, 4943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -77 + 84. Let q(p) = -6*p - 6. Let t(g) = 11*g + 11. Determine r*q(c) + 4*t(c).\nAnswer: 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 84 = z - 4*z, 5*z - 116 = f. Let g(w) = -44*w + 93. Let v be g(34). Let k be (v\/(-244))\/(1\/4). Is z less than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((66\/135)\/11*5)\/1.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2770679.\nAnswer: 653, 4243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.5 - 0.6. Let z = -2 - -2. Suppose z = -2*g - 5 + 3. Which is the nearest to q? (a) -4\/7 (b) -0.1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59103094949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 468, 1881, 4236, 7533, 11772, 16953?\n\"Answer: 471*b**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 499652 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/152 (b) -1 (c) 1\/14 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.09 - -0.99. Let d be (-3)\/38*(-4)\/3. Let o = -27 + 26.8. Which is the closest to y? (a) 0.5 (b) o (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.034 - -1.033006. Round l to four decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of -831\/20*w**5 - 1\/3*w**3 + 0 + 6*w + 0*w**2 + 1\/4*w**4. Let x be l(1). What is x rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8376 + 8414. Solve -4*v = z*p - 39*p + 11, -5*p + 5 = 5*v for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -65.7 and -303.\nAnswer: 19907.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 4 (c) -2\/7 (d) -2\/81 (e) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*k + 40 - 4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.21 and -97.\nAnswer: 20.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of 13*w**6\/10 + w**4\/24 + 697*w**3\/6 + 519*w**2. Differentiate n(c) wrt c.\nAnswer: 468*c**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 54 + -50. Suppose 2*b - 4*q + 4 = 0, o*b - q - 10 = q. Is (-446)\/3*(-30)\/b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 6 = 15. Solve f*m + 4*k + 24 = m, -3*k = -3*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.43? (a) -5 (b) 0.1 (c) 10\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19872\/(-585) + 34)*45.\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52217 is divided by 26102.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 + -6. Calculate the remainder when (0\/(-1) - -61) + (-55 - -62) is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 19.1 and 24625.\nAnswer: 24644.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 82 times -290922\nAnswer: -23855604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 43611073.2 rounded to the nearest 1000000?\nAnswer: 44000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.0498+-131.02342207\nAnswer: -130.97362207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 1 (c) 2223\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 12 = n, 0 = 4*n + 4*f - 0*f - 8. Let s(m) = 850*m**2 + m - 4. Let q be s(n). What is q rounded to the nearest 1000?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*x + 2081 - 75 = 0. Is 17 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 469 - 579. Let a be (-1 + 0)\/(2\/(-386)). Let j = z + a. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11436?\nAnswer: 2, 3, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5 and 0.011874.\nAnswer: 5.011874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqqm when four letters picked without replacement from qbqcbbqbqbqbbqqqmc?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 3*v + 50*j - 53*j, 2*v = -5*j - 18 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5044, -20178, -45400, -80710, -126108, -181594?\n\"Answer: -5044*d**2 - 2*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xm when two letters picked without replacement from xdmwwyxyixdwywddxd?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 86 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 4 - 25*k + 0 in the form t*k + a and give t.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136 = 239*a - 223*a + 104 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -40*j**3 + j**2 - 33*j**3 + 1 + 106*j**3 - 7*j - 32*j**3. Calculate the remainder when 156 is divided by v(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1431 + 1410. Let i = 4 - 3.6. Let z = 3 + -1. What is the third biggest value in z, i, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12444 and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*(14\/(-4))\/(-7). Let u = d + 0. Which is smaller: -2\/11 or u?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n. Let l(w) be the first derivative of 226*w**3 + 2503. Give l(u(q)).\nAnswer: 2712*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 8:58 PM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -2*h - 13. Let j be (h\/8)\/(3\/12). Let m be j\/(-6)*4\/30. Is m less than or equal to -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-16)*6)\/((-6)\/8). Which is the biggest value? (a) 4 (b) 0 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0523 + -1161.0523. Let m = -1161.00000543 - t. What is m rounded to seven decimal places?\nAnswer: -0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39 - 94.9. Let y = -56 - n. Let w = -7\/2 + 4. Is w >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3*i**2 + 277*i - 577. What is s(-95)?\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*i + 15*i - 3, 0 = 5*q - i - 91. Suppose -q*v + 40 = -32. Solve -v*p = 3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18368 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 291 - 1?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 10 = 2*x + 2, -2*c = -2*x + 6. Let p(b) = 3*b**2 - 3*b. Does 18 divide p(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**3 - 8*p**2 + 263*p + 43*p**2 - 268*p - 6*p**4 + 2 to r*p**4 + t + s*p**2 + y*p**3 + b*p and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of s**3\/3 - 9*s**2\/2 + 25*s + 4. Is v(11) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 34 = -802*b + 799*b, 2*k = 4*b - 44 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/1 - -6*(-15)\/(-45). Suppose -521 + 6631 = c*r. What is the greatest common divisor of r and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 2:27 AM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 24?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h + 3*h - 14*h)*(-4 + 4 + 2*h).\nAnswer: -32*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = n - 1, 5*y - 5*n + 11 = 3*y. Solve o + 1 = y for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45*p - 38 + 38 to j + y*p and give y.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003304 rounded to seven decimal places?\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 68044624?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = 2*u + 12 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 4.7097, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ln when two letters picked without replacement from {n: 2, u: 2, l: 5}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5554454.\nAnswer: 2, 23, 120749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-26)\/52)\/((-3)\/2)*(-138)\/23\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*n - 52 + 30 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of 2*x + 1\/2*x**4 + 0 + 0*x**3 + 0*x**2. Let m(b) = -2*b. Determine v(m(p)).\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 2:45 AM?\nAnswer: 9:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5529197291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 1290.763 and -1.7434.\nAnswer: 1289.0196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 5*g + 6. Let p be n(-6). Let s = 43 + p. What is the highest common divisor of s and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 m when four letters picked without replacement from {j: 1, e: 3, m: 12}?\nAnswer: 99\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 18*r**2. Let y(b) = 3*b + 135. Let h be y(-45). Let t(n) be the first derivative of h*n + 0*n**2 + 8 - 2\/3*n**3. Determine t(o(m)).\nAnswer: -648*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1))**(-27)\/(v*v\/(v**(-2\/3)\/v*v)*v*v**1))\/((v**(-1\/2))**(-40))**(-18) assuming v is positive.\nAnswer: v**(1147\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 210\/(-27)*(-16 - (-636)\/42)\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 90 and 150.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j - 1514 + 1514.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 0)*(-34158 + 34158 - 13917*u + (2*u - 2*u + u)*(-2 + 1 + 2)).\nAnswer: 13916*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 48*y - 1. Suppose 5*x = -248 - 1992. Calculate the common denominator of 2\/3 - x\/(-21) and m(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -57*h**6 - 2*h**3 - 8*h**2 - 3 wrt h?\nAnswer: -6840*h**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1884.\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 5*h = -h - 16, 0 = -5*x - 2*h + 26. Suppose 0 = r + r - x. Suppose -3*v = -2*t - 25 + 7, r*v = -2*t + 2. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/(-2))\/(12\/(-16)). Put -5, -2, m in decreasing order.\nAnswer: m, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/2 + 7223696*w - 26090891950208.\nAnswer: -(w - 7223696)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 - 12*a**2 + 15. What is the remainder when o(-12) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 220515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 11*c. Let v(r) = 22*r. Calculate 13*j(z) - 6*v(z).\nAnswer: 11*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 6633*l + 24 - 13.\nAnswer: 6633*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2695 - -2706. Solve -8*x - i = 5 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -124*q - 145345900 - 248*q + 57*q + 145345878 to g*q + h and give g.\nAnswer: -315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4.343 and 2992.\nAnswer: 2987.657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + (-20)\/5 + 3. Let d be 0\/m*(-5 + (-24)\/(-4)). Suppose j - f - 2*f - 9 = d, -2*j + 16 = -5*f. Solve 2 = -j*w - 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of w**3\/3 - 2*w**2 - 3*w - 6. Let g be n(5). Solve -15 = g*b - 5*q, 0 = -3*b + 2*b + 4*q - 9 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*l, x + 5*l - 7*l - 35 = 0. Suppose 3*g - 22 = 2*u + x, 5*g - u - 70 = 0. Solve w = 2*v + 2, -4*w = 3*v + g + 1 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(60\/(-9)))\/((-2)\/2)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1899 and 15.\nAnswer: 9495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2044 - 22?\nAnswer: -2066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40895\/3 + 13632. Factor -f - g*f**2 + 0.\nAnswer: -f*(f + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in months?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (216\/126)\/(8\/(-28)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1120929?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -49*z - 82. Let b be t(-2). What is the hundreds digit of 2127\/((-2)\/b - (-143)\/88)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 3) in base 7?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from adamonh. Give prob of sequence aooh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*n - 426*n + 8*n + 2 - 2*n - 2 + 0*n + 0*n - 2*n + (0*n + n + n)*(-1 - 3 + 2))*(0 + 0 - n**2)*(-2*n - 2 + 2).\nAnswer: -798*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -100 + 100. Let j(o) = 6*o - 1 + 2*o - o**2 - 7 + l*o. Give j(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -77*d**2*s**2 + 69*d**2*s - s wrt s?\nAnswer: -154*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 + 2*n**2 - 409*n + 4244. Determine d(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 + -0.1. Suppose -2*m = -0*m + 4*i + 2, -5*m - 3*i - 26 = 0. Let c be (-26)\/10 + 1*(-4 - m). What is the closest to c in z, 4, -0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*h**2 + 11 - 11 + (-2*h - 2*h + 3*h)*(-12*h - 3*h - 6*h).\nAnswer: 31*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -273, -290, -307, -324, -341?\nAnswer: -358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 943.3 + -943. Let o be 8\/(-12) - 16\/(-6). Suppose 0 = -o*k + 6*k - 8. What is the nearest to k in -3, t, 0.03?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 91.026 + -0.026. Let p = 89 - d. Which is the third smallest value? (a) p (b) -3\/2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, y: 4, l: 8, a: 2}. What is prob of picking 1 j, 2 l, and 1 y?\nAnswer: 12\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*d = 144. Is (1\/2)\/(6\/d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 11010 = -5*u + 8*h, -4*u = -5*h - 8808. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 2*c + 7*c = 18 - 32, 8*h - 161*c = 3*h - 156*c for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 9*b**2 - 12. Let i be -4 + 152\/36 + (-1160)\/(-45). Let c = i + -35. Give p(c).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r + 464 = -4*r - 3*y, -5*y = -3*r + 272. Calculate the remainder when r is divided by 54.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 607031.\nAnswer: 19, 43, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/3, 0, 305, 30, -5, -0.5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1377 + 4073\/3. Find the common denominator of i and -13\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3*t - 1. Let d(w) = -254*w + 7. Give -d(v) - 5*g(v).\nAnswer: 239*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 21\/(-196)*8*-7*(-1)\/2. Is o greater than or equal to -97\/53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = d + 12, 3*d + 4 = -0*u + u. Let m be (11 - 4 - d) + 3. Let r(k) = k**2 + 7*k - 9. Let p be r(-9). Are p and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4512022 + 5?\nAnswer: -4512014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1510 = -12*o + 314*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 7:24 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - k**2 - k - 1. Let x(b) = -5 + 4*b**2 + 5 + 4*b - 21*b**3 - 7. Let n(s) = -4*v(s) - x(s). Differentiate n(c) with respect to c.\nAnswer: 51*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20746 + -20697. What is the lowest common multiple of 252 and m?\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 290 divide 32563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 5:39 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -2*t + 80. Let i = -16 + 9. Let o = t + i. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112658 is divided by 141?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23.843 - 43.85. Let b = -1.7 - -21.7. Let y = b + o. Round y to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -j**2*s**3*t + 10*j**2*s*t - 9*j*s**3*t + 15*j*s**3 - j*s**2*t + 2*s**2*t + t wrt s.\nAnswer: -6*j**2*t - 54*j*t + 90*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i - 17890 = -17778 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 27566647 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.059767 seconds to milliseconds.\nAnswer: 5059.767","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-30)\/(-9) + -4 + 44\/12. Suppose -4*r - 1477 = -a*c, -r + 8 = -3*r. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, -4\/149, -1\/84, 5, -1?\nAnswer: -1\/84","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.901 + -1.101. Let y be -2 + 2 + -3 - -9. Suppose y*i - 2*i = 16. Which is the third biggest value? (a) 2\/25 (b) l (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -467 - -497. What is the lowest common multiple of 30 and y?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -754767*o**3 - 10*o**2 - 362*o - 10?\nAnswer: -4528602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7826600 + -7826599.92199938. Let v = i - 0.078. Round v to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -18*v**6 + 24*v**2 - 3. Let f be -2*3\/2 - -5. Let q(b) = -17*b**6 + 23*b**2 - 2. Let s(m) = f*l(m) - 3*q(m). Find the third derivative of s(g) wrt g.\nAnswer: 1800*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1187505189 - 58097?\nAnswer: 1187447092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1715 is divided by 66?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -77*w**2 + 2*w + 135 wrt w.\nAnswer: -154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -6. Let f(h) = -h**2 - 7*h + 8. Let r be f(-8). What is the nearest to r in -0.4, z, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 PM and 12:31 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*w + 31*w = 481. Does 37 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 154223382?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 68 and 1972?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -379.9 - -380.2. What is the closest to -1\/26 in 0.5, 1\/7, -0.1, s?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -2*z - 9, 5*u = -z + u - 12. Calculate the remainder when 15 is divided by z - 3 - (-18)\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -17. Let w = -2\/13 - -36\/65. Is f bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 206815 and 1499020.\nAnswer: 1555","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50874?\nAnswer: 2, 3, 61, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 22*g. Let h(u) be the first derivative of u**2\/2 + 7*u + 4. Let c be h(-5). Let q be z(c). Calculate the highest common divisor of q and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -793.9 times 0.5\nAnswer: -396.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 + 3*m**2 + 42 - m**2)*(m**2 - 3*m**2 + 0*m**2 + (-m - 2 + 2)*(4 - 4 - m)).\nAnswer: -2*m**4 - 22*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.2 (b) -0.5 (c) -4 (d) -8298 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f**3*i**3 - 66*f**3*i - 16*f**3 - 34548*f**2 + 2*i**3 wrt f?\nAnswer: 6*i**3 - 396*i - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -6, 1, -13, -305 in descending order.\nAnswer: 1, -6, -13, -19, -305","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5157.88 centimeters in meters?\nAnswer: 51.5788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g - 4*g + 4*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - x**2 + 4*x + 3. Let u be d(-3). Suppose 0*y - 3*y - 4*t - 12 = 0, -4*y = 3*t + u. Solve 2 = 2*q - y*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k\/(k\/(k*k**(-1))))\/k)*k)\/(k\/((k\/(k\/(k*k**(-5))))\/k)))**(-31)*(k*k**0*k)**(-42)*k*k**(-3)*k**(-1\/2) assuming k is positive.\nAnswer: k**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 4 - 3 + (1 + 1 - 4)*(3 - 1 - 3) - 2 + 2 + 1)*(401*u + 1413*u + 344953 - 344953) to a*u + j and give a.\nAnswer: 9070","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oyyoyoyooovyvpyouo. Give prob of picking 1 u and 1 o.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 5*c + 100, -5*m + 0*c - 73 = -4*c. Let h = m + 17. Suppose 5*q - 3*q - 1162 = h. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - 20*x + 16. Suppose -3*m - 2*m = 2*a, 0 = 4*a + 3*m. Suppose 2*g = -a*g + 3*z - 48, 10 = -g - 2*z. List the prime factors of t(g).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 163597975 divided by 16319.\nAnswer: 10025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 - o - 1. Let f(b) = 5*b**2 - 15*b - 13. Let k(t) = -f(t) + 6*i(t). What is k(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(60\/1710*30\/(-12)*1\/5).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**3\/c)**20\/(c**(-2\/9))**(-13\/6) assuming c is positive.\nAnswer: c**(1067\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 238*k + 234*k - 1139*k + 241*k + 236*k + 247*k.\nAnswer: 57*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 161\/163440 and 107\/80.\nAnswer: 163440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, j: 5, i: 1, z: 1}. What is prob of picking 1 z, 2 j, and 1 i?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, u: 1, p: 1, w: 1, d: 1}. What is prob of sequence usd?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12601 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-507)\/(-26))\/(-13))\/(51\/340)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q**2 + 9*q + 9. Let w(x) = x**2 - 5*x - 5. Let a(h) = 5*w(h) + 3*y(h). Calculate a(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.648 + -1013.948. Round n to the nearest ten.\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 204 and 86170.1?\nAnswer: 85966.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -37396, 23, 1 in decreasing order.\nAnswer: 23, 1, -3, -37396","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -2. Let j be -2 - ((-1)\/1 - p). Let k be (-2 - j) + 4 + -2. Which is greater: 2\/7 or k?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*k**5 - 9*k**5 - 20*k**5 + k**4 + (0 + 0 - 1)*(-2*k**5 - 3*k**2 + 3*k**2) + 4*k**5 - 2*k**5 - k**5 + 0*k**5 - k**5 + 2*k**5.\nAnswer: -18*k**5 + k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -3*b**2. Let p(j) = 3 - 52*j**2 + 15*j**2 - 3. Determine p(i(m)).\nAnswer: -333*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -57 - -66?\nAnswer: e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/(-75))\/(-4 - 30068768\/(-7509620)). Let a = f + -6\/3155. Find the common denominator of a and 121\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*j - 9*j + 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -25*i**5 + 320*i**4 - 580*i**3 - 1200*i**2 = 0.\nAnswer: -6\/5, 0, 4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kka when three letters picked without replacement from eeekkkekkkkkkaeekka.\nAnswer: 110\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34712 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 108 and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 181, 0, 36307 in descending order.\nAnswer: 36307, 181, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2338983103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 707 and 701 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24169*j**2 - 24171*j**2 + 48342*j**2 + 978*j + (-2 + 3 - 2)*(j**2 - j**2 - 3*j**2).\nAnswer: 5*j**2 + 978*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30815 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/1531887 and -64\/27585.\nAnswer: 22978305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 216.06\nAnswer: -43.212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of s**4\/12 - s**3 - 3*s**2\/2 - 4*s. What is the remainder when a(9) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 - 7*j**2 + 7*j + 2*j**3 - 8*j + 8 as l*j**2 + p*j + b + f*j**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11158731329 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2215, -3, 2\/41.\nAnswer: -2215, -3, 2\/41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 11:00 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i**3 + i**3 + 4*i**3)*(i**2 - i**2 - i**2) + 33205 - 7*i**5 + 7*i**3 - 33205.\nAnswer: -8*i**5 + 7*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -7. Sort j, 4, -3.\nAnswer: -3, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -698 = 11*b + 358. Let j = 673\/7 + b. Put -3\/5, j, -3, -0.2 in increasing order.\nAnswer: -3, -3\/5, -0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -13, 4, 5, 1\/9 in decreasing order.\nAnswer: 5, 4, 1\/9, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 471 is divided by 112?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 155 + -1707\/11. Let o = 0.03 - 8.03. Let x = -8.4 - o. What is the second biggest value in x, 3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.707 - 169.193. Let k = 172 + j. What is the closest to k in 0, 0.3, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 448*k - 26. What is the hundreds digit of u(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -121*c + 731. Give n(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81 + 50 + 82 + (-19 - -1).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 334.176 times 3?\nAnswer: 1002.528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 3285458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50)\/(sqrt(10) - sqrt(80)\/(sqrt(8) + 2*sqrt(8))).\nAnswer: 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/113, 0.2, 361?\nAnswer: 2\/113","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 1\/4*p - 1\/4*p**2 = 0. What is p?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 51.0499980050374 - 0.5.\nAnswer: 50.5499980050374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (63\/6)\/((-1400)\/1000).\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1 and 413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -3*y**3 + 15*y**2 + 44*y - 2. Let b(j) = -51*j**3 - 17 + 3*j**3 - 13 + 240*j**2 - 3 + 705*j. Let g(o) = -2*b(o) + 33*l(o). What is u in g(u) = 0?\nAnswer: -2, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 10, w: 9}. Give prob of picking 4 j.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -5. Let a(v) = v + 2. Let m(g) = 2*a(g) + 3*c(g). Calculate m(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 - 40 - (-1 + 1 + 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 430 = 2*o + 2*o - 5*t, 2*t = -3*o + 311. Calculate the greatest common divisor of o and 3318.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.03 - 0.01. Let w = 0.06 - h. Let p = w + -0.0403. Round p to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 1)*(6*j + 0*j + 14*j).\nAnswer: 40*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -234346028162 and -0.9.\nAnswer: -234346028162.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l**5*l)\/l)\/l)**17)**(1\/2) assuming l is positive.\nAnswer: l**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 - 71*b - 508. What is s(-65)?\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 951979199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4212 + 4532. Let n(w) = 80*w. Let k be n(-2). Let p = k + z. Is p a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.21 - -0.64. Let z = -0.1 + o. What is z rounded to one decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of 0*g**3 + 0*g - 42*g**2 + 2\/3*g**4 + 0 + 74\/15*g**5 + 323\/30*g**6 - 361\/105*g**7. Factor c(h).\nAnswer: -2*h*(h - 2)*(19*h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -615143 (base 7) to base 12\nAnswer: -50952","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -87 + 22. Let r = d - -97. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -131692863 divided by 249?\nAnswer: -528887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 21*i. Calculate u(-3).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/4 of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b**2 + 3*b. Let o(j) = j**3 - 9*j**2 + 12*j. Calculate 2*o(u) - 9*x(u).\nAnswer: 2*u**3 - 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of 3*o**4\/4 - 15*o**2 + 7*o. Find the first derivative of d(l) wrt l.\nAnswer: 18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 12*w**2 - 14*w + 17. Give g(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 AM and 10:28 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9.1173 + -0.0427. Let d = i - -9. Let f = 0.2 + d. Round f to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + 0 + 1 + (-3 - (6 + -6))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3062, -12252, -27568, -49010, -76578?\n\"Answer: -3063*w**2 - w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 2:06 PM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 3 - (11 + -5 + -8 + -2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 708684 and 1071116.\nAnswer: 3236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*b + 4*t, -3*b + 28 - 15 = -2*t. Is (b + -3)*-34*(-422)\/8 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 21*r**2 - 12*r + 237. Determine j(21).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -19*h**2*k*l - 28*h**2*l + 253*h**2 + 5*h*k + h wrt l?\nAnswer: -19*h**2*k - 28*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-95)\/((-3040)\/192)*14\/1554?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rri when three letters picked without replacement from {r: 4, q: 2, i: 2, l: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -5*z**4\/2 - z**3\/3 - z**2\/2 + 3*z - 987. Calculate i(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 3*w - 24. Suppose -2 = 3*d - 14. Sort -5, d, w in decreasing order.\nAnswer: d, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6595\/2429 + -2\/2429. What is the common denominator of -45\/13 and y?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -168347*q**3*w**4 - 8*q**3 - 2*q*w**4 + 153221*q*w**2 - 18*w**3 wrt w?\nAnswer: -4040328*q**3*w - 48*q*w - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.4 - -2.4. Put -0.3, 2, d in descending order.\nAnswer: 2, d, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2157 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48969*l + 11665913 - 11665913 to the form z + h*l and give h.\nAnswer: 48969","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02506627 rounded to 5 dps?\nAnswer: -0.02507","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -x**4\/8 - 115*x**3\/4 - 1609*x**2\/2 + 106467*x - 209484 = 0.\nAnswer: -138, 2, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 720\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p - 12 = -m + 4*p, 12 = 4*p for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + 57?\nAnswer: 5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**4\/7 + 4398*w**3\/7 + 271080*w**2\/7 - 2765869902*w\/7 + 1015732551483\/7.\nAnswer: -3*(w - 753)**3*(w + 793)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-16)*-2)\/(2\/(-8)). Let v(r) be the second derivative of r**3\/2 - r. Give v(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**2 + 66*s - 66*s)*(-2*s - 2 + 1 + 0*s).\nAnswer: -4*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 - o**2 + 3*o + 4. Let d be r(-2). Suppose 0 = 5*n + 1 + 9. Is n greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 - 4*w. Let r(h) = -h**2 - h - 2. Let m(a) = -4*a**2 - 5*a - 9. Let t(l) = 2*m(l) - 9*r(l). Calculate -j(k) + 4*t(k).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6252780 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*s**2 + 0*s**2 + 4 + s**2 wrt s?\nAnswer: -2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 7*j**2 + 7*j - 1. Calculate x(-4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-5 + (sqrt(50)\/(3*(sqrt(250) - sqrt(10))))**2 + 1)*5.\nAnswer: -2855\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 0*l - 1362. Let w = l + -205. Suppose w = 5*t - 196. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4623080 divided by -24332\nAnswer: -190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 2 = -m + 4*t, 2*m - 5*t = -3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 80 = -172. Let z = s - 60. Solve 17 = 5*y - 3*d, 4*y + 2 + 6 = -z*d for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**5 - 5223*s**4 + 728640*s**3 - 24476364*s**2 = 0.\nAnswer: -1873, 0, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 33336899 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*((i**(2\/3)*i*i)\/i)\/i)\/i)**(1\/5)*(i\/(i*i**(4\/5))*i)**(1\/5) assuming i is positive.\nAnswer: i**(13\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 10 = 18. Suppose 0 = -f - 1 - 0, x*f = 3*n - 31. Let w be -3*(-3)\/n - (-3 - -6). Let p(c) = 9*c + 1. Give p(w).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 2*g**2 + 65 - 2*g**4 + 1)*(0 + 3*g + 0).\nAnswer: -6*g**5 - 6*g**3 + 180*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.11746 + 0.06746. Put -5, 1\/5, r, 0.5, 2\/3 in descending order.\nAnswer: 2\/3, 0.5, 1\/5, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c = -4*c + 5*v - 10, -3*v - 6 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.9733 (b) 9 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 3*h = 68, 2*v - 4*h + 31 = -3. Let s = v + 22. Solve -4*q = 5*o + s, 0 = -0*q - q for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 132.9 - 147. Do 0.3 and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 3 (b) 0.4 (c) -2\/37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*r**4 - 3*r**4 - 2*r**4 + (38 - 82 + 45)*(0*r**2 + 2*r**2 + r**4 - 3*r**4) in the form p*r**2 + v*r**3 + w*r**4 + b*r + d and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 18*y + 3. Let o(s) = 35*s + 0*s - 141 + 75 + 71. Calculate -3*o(a) + 5*x(a).\nAnswer: -15*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41*o - 527 + 527)*(22 + 14 - 193*o + 192*o).\nAnswer: -41*o**2 + 1476*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -688.\nAnswer: 7\/688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1557201?\nAnswer: 3, 519067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -3*m + 34, -4*g + 3*m + 11 = -8*g. Let w = g + 9. Let i = 6957 - 6969. Sort i, w, -3\/4 in descending order.\nAnswer: w, -3\/4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19385 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 8 - 4)*(3*n + 0*n - n)*(n - 4*n - 2*n).\nAnswer: -50*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*b**2 + 4*b**2 + 3*b**2)*(-3 + 1 + 4) + 2*b**2 + 4*b**2 - 5*b**2 - 195*b**2 + 28*b - 28*b + 1558*b**2 + 1702*b**2.\nAnswer: 3068*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -7579*-41\nAnswer: 310739","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 3*o - 6*o + 12, 3*s - 4*o = -16. Suppose 3*z - 11 = 3*l - 38, 5*l - 3*z - 35 = 0. Let y be 2\/(l*-1)*-4. Which is greater: y or s?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 21735*p - 1265. Let x(l) = -103*l + 6. Give 6*r(y) + 1265*x(y).\nAnswer: 115*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -1570\nAnswer: -314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3266 and 4552?\nAnswer: 7433416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 5, j = -4*q - 0*j + 17. Suppose 2*i - 6*i + 144 = q*f, 5*f + 4*i - 232 = 0. List the prime factors of f.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -28 + 4. What is the derivative of 3*i**3 - 4*i**4 - x - 3*i**3 wrt i?\nAnswer: -16*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -554 = -12*x - 494 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5\/3 + -1)\/(11\/(-33)). Is 443 + (-2)\/t - (19 + -21) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 4. Let d(u) = -3*u + 11*u - 5 + f. Is 7 a factor of d(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u + 3*u + 3*h, -5*h + 5 = 4*u. Let v be 32\/12*(-1)\/2. What is the closest to 1\/4 in v, -3\/7, u?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1000021201210 + -100?\nAnswer: -1000021202010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4410 to the power of 1\/2, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 + 23. Let w(y) = -2*y - 9. Suppose 0 = -5*x + 2*f + 45, 3*x - 4*f = -3*f + 26. Let t(a) = a + 4. Determine k*w(q) + x*t(q).\nAnswer: q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 36\/3 - -3 - 3. What is the remainder when (-4)\/(a\/27)*-5 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3 + ((1 + sqrt(1700))**2*-6 - sqrt(1700)) + sqrt(1700) + -4).\nAnswer: -10207 - 120*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -2*o**4 - 352*o**3 - 3198*o**2 + 20392*o + 23240 = 0.\nAnswer: -166, -14, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -0.195.\nAnswer: 0.0195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1216 is divided by 399.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.10198622 take away 94?\nAnswer: -94.10198622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 2*q + 16 = 0, y + 5*q = -2 - 3. Suppose 3*g + 3*x - 43 = 140, -45 = -g - y*x. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/144 and 161\/264.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -3*n**2 - 4*n - 4. Let t(h) = -h**2 + 15*h - 36. Let q be t(12). Let a(y) = 2 + 0 + 2*y + y**2 + q*y**2. Give -5*a(c) - 2*p(c).\nAnswer: c**2 - 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 13 (b) 2\/5 (c) 3\/2 (d) 160 (e) -3\/14 (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -16 + 1. Let q(j) = j**2 + j + 3. Let c be q(0). Suppose k - 4*i = 11, -c*i + i - 8 = 0. Put -4, k, h in increasing order.\nAnswer: k, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17\/14 - 107\/42. Let w = 1172 + -1176. What is the fourth smallest value in w, o, -5, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2091274 or -2091279?\nAnswer: -2091274","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 + 8 = 3*g. Suppose -43 - g = 11*c. Is c > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -22*t + 879. Give y(41).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of -l**5\/30 - 17*l**4\/24 - 2*l**3 - 7*l**2. Let h be r(-8). What are the prime factors of h*((-170)\/4 + 2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2471 and 45184.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2907*p + 178. Let o(i) = 8722*i - 504. What is 17*l(n) + 6*o(n)?\nAnswer: 2913*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2147, 2151, 2157, 2165, 2175, 2187?\n\"Answer: k**2 + k + 2145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -283*z + 1420. What is v(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**3 + 60*v**2 + 2*v + 28. Let j(x) = -4*x**2 - x - 2. Let g(r) = -14*j(r) - n(r). Let p(m) = -m**2 + m. What is -g(o) + 4*p(o)?\nAnswer: -2*o**3 - 8*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.08925 to the nearest integer.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*c + 2*c - 12*c - 4*c.\nAnswer: -9*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert a70d3c (base 14) to base 6.\nAnswer: 321032134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 11, -21, 21, -24 in descending order.\nAnswer: 21, 11, -3, -21, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 f when three letters picked without replacement from dffffmffhfmffh.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of -107*v**8\/1680 + 19*v**4\/8 - 9*v**3\/2 + v**2 + 20*v. Let y(l) be the second derivative of c(l). Differentiate y(h) wrt h.\nAnswer: -428*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*l**3 - 4*l**3 + 2*l**3 - 18*l**2 - 7*l**2 to the form s*l + p*l**2 + j*l**3 + w and give p.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*t - 1. Let z be (18 - t)\/((-5)\/((-15)\/3)). Solve 4*x - 4*r = 24, 3*x - z = -x + 2*r for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3 + -0.4. Let z = 1.5 - 1.58. Let o = z - -0.28. What is the closest to 0 in y, o, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iaiiaiiiiaaai. What is prob of picking 2 i?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 2:29 AM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-6 + (2 - 3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((1 + sqrt(2736))**2 + 2) + ((sqrt(133)\/sqrt(7) + sqrt(19) + -4)**2 - (4 + (sqrt(19) + -1)**2)).\nAnswer: 82*sqrt(19) + 11024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1606)\/292*(-342)\/(-209)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 2*i**2\/5 - 49934*i\/5 + 49932\/5 = 0?\nAnswer: 1, 24966","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -590448 divided by -6?\nAnswer: 98408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -231 = -11*a - 55. What is the lowest common multiple of a and 6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11076 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1657 is divided by 236?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 PM and 4:38 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 2*d = -8, 4*d - 2 + 1 = -3*m. Suppose -5*s + v = -3*v - 5211, m*s - 3*v = 3126. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of -v**7\/420 + 41*v**6\/15 - 6724*v**5\/5 + 1102736*v**4\/3 - 180848704*v**3\/3 - 191*v**2. Factor l(d).\nAnswer: -(d - 164)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*o - 316 + 92 = 0 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 656 = 4*l - 5*j, -j = -0 - 4. What is the remainder when l is divided by 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: -8 + 165\/(20 + -9)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 43.994655 and -0.1?\nAnswer: -4.3994655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36 + 38. Suppose o = x + 7, -25 = -5*n + 2*x. Solve q + 2*h = 3*q, q - 8 = n*h for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.832358 to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 438347 is divided by 1297?\nAnswer: 1258","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 0. Let f be (1\/(-21))\/(776\/(-4656)). What is the nearest to -1\/3 in -2\/15, f, c, -4\/7?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 1 = 3. Suppose k - 3 = 2*g, 0 = -r*g + 1 + 1. Solve -k*i + 5*o + 20 = 0, -2*i + 0*i - o + 8 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3335000 to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4\/5*q - 4\/5*q**2 - 8\/5*q**3 + 0 = 0 for q.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*r + 5*r - 4*r)*(-39*r**2 - 28*r**2 + 23*r**2 + (-4 + 2*r**2 + 4)*(-2 - 1 + 1)) to the form a*r + k*r**3 + t*r**2 + z and give k.\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5 = -0. Suppose -30 = -3*t - r, -r = d*t - 24 - 28. Is t a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 157 + -154. Suppose 2*z + 223 = g*z + 4*u, -5*z + 1225 = -2*u. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/(-2))\/((-114)\/(-8)). Let p be ((-17)\/(-2))\/((-55)\/(-10)). Let j = -130\/77 + p. Sort -3, a, j.\nAnswer: -3, j, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 5*v**2 + 6*v - 2. Let z be m(6). Calculate the remainder when 17 is divided by z\/(-14) + (-123)\/(-21).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3*x - 9. Let m be f(-4). Suppose n + 14 = -2*a, -6 = -n - 0*a + m*a. Does 30 divide (n + 8)*(-83)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*t - 2\/5*t**5 - 4\/5*t**2 + 4\/5*t**3 + 2\/5 + 2\/5*t**4.\nAnswer: -2*(t - 1)**3*(t + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*w + 329 = -70. What is the smallest value in w, -5, -1, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 12:08 PM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/1021 and 42\/13?\nAnswer: 13273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b*b**(-10))\/(b\/((b\/(b**(1\/7)*b))\/b)))\/(((b\/(b*b**(-20)\/b))\/b)\/(b\/b**(-21))))**21 assuming b is positive.\nAnswer: b**(-171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 5*s - 238 = -11*l, s + 100 = -3*l + 5*l - s for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**2 + 0*o**2 + o**2 + o**2 - 2*o**2 + 0*o**2 + (0 + 0 + o)*(3*o + 0*o - o) - 4*o**2 + 4*o**2 - 3*o**2)*(3*o**2 - 4*o**2 - o**2).\nAnswer: 2*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**2\/9 - 16*z + 146\/9 = 0. Calculate z.\nAnswer: -73, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -3*b - 1050, -4*x - 101*b = -99*b - 1412. Is x even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-6) + 136\/24. Solve 4*o = 6 + g for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 254 a factor of 446013157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -53, -2 in increasing order.\nAnswer: -53, -15, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (4 - ((-1543)\/(-168) - 9)) + (2 - 6) and 25\/24?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**4 - w**4 + 3*w**4 - 8*w**3 + 0*w**3 + 4*w**2.\nAnswer: 4*w**2*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/(-4)*(-108)\/(-45). Calculate the remainder when u\/18 + (-3692)\/(-39) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*x + 2*d = 76*x, 12 = x + 2*d for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/1380 and -23\/30576?\nAnswer: 3516240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 1 + 3 - 2 + 0 - 291*h. Is i(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 42, 45, 28, -15, -90, -203, -360?\nAnswer: -567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 5*g**2 - 9*g**2 + 3*g - 4 + 5*g**2. Let l be -7 + (-12)\/(-8 + 4). Determine f(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.5 + -18.5. Let j = -15.00137 - r. What is j rounded to four dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -0*z + 2*z - 6, 0 = -3*h + 5*z + 17. Suppose 20 = h*v - 80. Is v a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-3 + (-36)\/(-8)). Which is bigger: v or 3\/13?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 2*i - 10, 2*o + 4*i - i + 12 = 0. Let l = -28162\/12681 + -2\/1409. Let y = l - -64\/45. Sort 0.02, y, o in descending order.\nAnswer: 0.02, y, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 l when three letters picked without replacement from oxloolololxxoll.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -43*f**3*u + 792*f**3 + 20*f**2*g**3 - 149*f*g**3*u wrt u?\nAnswer: -43*f**3 - 149*f*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/6, -3\/4, 2.6, 85, -4.8 in descending order.\nAnswer: 85, 2.6, -3\/4, -5\/6, -4.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/3 in 10, -1, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/7 + 2319256*x\/7 + 6957786\/7.\nAnswer: -2*(x - 1159631)*(x + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -8. Let z(m) = -11*m**2 - 4*m + d + 15*m**2 + 9*m. Let h be z(-2). Solve 0 = -5*i - 3 - h for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of d**6\/6 - d**5\/60 + d**4\/6 - d**3\/2 - 28*d**2. Is 23 a factor of j(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 106 - 112. Let c be -3169995 - (-6)\/(q\/5). What is c rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwewwweeweweeeee. What is prob of sequence wewe?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 - ((9 - 4) + 18).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide (-14788)\/(-24) - (-7)\/(-42)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -s - 21 - s**3 + 2*s**3 + 1 + 4*s as p*s + u + f*s**3 + d*s**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4550 + 104?\nAnswer: -4442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 20679499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -15 * -1.4\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q**2 + 2*q + 2. Let u(n) = -n**3 - 12*n**2 - n - 10. Let o be u(-12). Let v be x(o). Is -2 smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37\/3 - -38\/3. Let w = 0.5 + -1.5. Which is the closest to 1\/4? (a) j (b) w (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + b**2 + 1. Let l(v) = 12*v**3 + 8*v**2 + 3. Let i(p) = l(p) - 5*w(p). Let y(d) = d**3. Calculate -i(s) + 6*y(s).\nAnswer: -s**3 - 3*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07264250903 to 6 decimal places.\nAnswer: -0.072643","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-2 - (4 - 10) - 8)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(80) + ((sqrt(80) + -2)*4)**2.\nAnswer: -252*sqrt(5) + 1344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12085 is divided by 484?\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 + 2*n - 1. Let b be c(-4). Let x be ((-3)\/(-2))\/(3\/8). Solve b = x*f + 23 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 142 - 98. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - 8. Let l be 7\/4 - p\/(-20). Suppose l*j + 2*j = -16, -2*j = -3*o + 8. Let d(v) = v**3 + v**2 + 5. Calculate d(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, a: 13}. Give prob of picking 3 r.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 16, 4, -32\/13?\nAnswer: -32\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.792 - -193576520.\nAnswer: 193576519.208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -1. Let x(n) = -2. Let y(s) = -3*u(s) + x(s). Let p(c) be the third derivative of 0 + 6*c**2 - 1\/24*c**4 + 0*c - 1\/6*c**3. What is 2*p(l) + 4*y(l)?\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 + 9*c + 197. Let l be s(-8). Let r(q) = -4*q + 3. Let y be r(-6). Calculate the greatest common factor of y and l.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22558 is divided by 2050.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -5*z - 1. Let p be i(-1). Let f = 11 + -6. Suppose 2*w = -5*a, 5*a + 4 = -f*w - 11. Solve -a*d - 2 = 5*l + d, 2*d = -p*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1937 less than or equal to 862264\/445?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -784*g = -4138 - 904 - 446 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2302 (base 4) to base 13\nAnswer: -109","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -296537.0687 to the nearest 1000.\nAnswer: -297000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1543391 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-1 + sqrt(396) + -1 - sqrt(396))**2 + ((-1 + sqrt(1100) + sqrt(1100))**2 + 5)*3.\nAnswer: -120*sqrt(11) + 13225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47600917?\nAnswer: 7, 13, 691, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + 5*l - 7. Let g be n(3). Let s(d) = -6*d + 1. Calculate s(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 3*h = 12. Let a = -131 + 914\/7. What is the closest to h in 0.3, a, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -5*c + 4*c + 3*g, g + 62 = c. Is c a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21410, -84179, -186140, -325121, -498950?\nAnswer: -705455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4597?\nAnswer: 4597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101928703.\nAnswer: 101928703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.04 - -0.34. Let t(o) = -o**3 - 19*o**2 - 23*o - 26. Let u be t(-18). Let k = u + -129\/2. Sort 2, a, k, 3 in descending order.\nAnswer: 3, 2, a, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 200.265081 to the nearest ten.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -341 = -12*u + 30*u - 3977. What is the remainder when 268 is divided by u?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -8*x + 4. Let q be d(-3). Let n = -2 - -5. Suppose 0 = -5*g - 3*s + q, 16 - 4 = 3*g - n*s. Solve 3*a - 6*a + 6 = -5*p, -p = g*a + 18 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7011 - 6109. Calculate the greatest common factor of 2993 and i.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0361 times -0.07?\nAnswer: -0.002527","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/((-270)\/4)*114. Let j = d - 15. Factor -1\/5*s**4 + j*s**2 + 0*s + 0 + 1\/5*s**3 - 1\/5*s**5.\nAnswer: -s**2*(s - 1)*(s + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -65*((-105)\/14 - (-342)\/45)?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m + 28. Let z(p) = -2196*p. Determine n(z(h)).\nAnswer: -4392*h + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1126, 2252, 3384, 4522, 5666, 6816?\n\"Answer: 3*b**2 + 1117*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fqdvvddfpofo. What is prob of sequence vq?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 186 and 403?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/((-112)\/18)*(-16)\/3*1?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 2 - 4 + 5*f - 6.\nAnswer: 5*f - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a**2 + a. Let h be d(1). Let l = 12 + h. Let f be -4 - (2 + -7 - 3). Solve -f*t = -7*t + l for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.8417 milligrams in kilograms?\nAnswer: 0.0000468417","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*w**4 + 786*w**3 + 3044*w**2 + 1638*w - 612 = 0. What is w?\nAnswer: -3, -1, 1\/4, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 138, -1, -11.\nAnswer: -11, -1, 138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/14 and -23\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1263*g - 1253*g + 70 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 270*o**2 - 31*o + 183. Let z be s(5). Let f = 39046 + -22268. Let p = f - z. Round p to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-66)*(26 - 37).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -9*r**2 + r + 1. Let y(i) = -9*i**2 + i. Let h(v) = 2*o(v) - 3*y(v). Let x be h(1). Solve 5*p = 14 + 1, 0 = 2*n + 2*p - x for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1774137 and 1313607.\nAnswer: 2193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 32523*o - 15 = 32526*o, 7*t + 4*o + 23 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 402540934?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2*s**3\/5 - 7470*s**2 + 335988*s\/5 = 0.\nAnswer: 0, 9, 18666","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e, 1 y, and 1 c when four letters picked without replacement from bbyyyceeyc.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 10:25 PM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 111010000000111111 (base 2) in base 8?\nAnswer: 720077","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4419.\nAnswer: 3, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/10028723 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does -5858 = -5944?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(252)\/sqrt(4) + 1 - (-4*(1 + sqrt(252)))**2)*-3 + 5.\nAnswer: 567*sqrt(7) + 12140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (83125*i - 173359*i + 85106*i - 1 + 1 + i - 1 + (-4 + 0 + 3)*(0 + 0 + 2*i))*(-2 + 2 - 7*i) to the form f + b*i**2 + c*i and give b.\nAnswer: 35903","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(1\/10))\/2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of b**4\/12 - 13*b**3\/6 + 10*b**2 + 5*b. List the prime factors of k(14).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - 0. Let m = 13 + -17. What is the biggest value in m, 3, b?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12.792 + -0.008. Let l = n + 13. Let f = -0.1 + l. Is -6 greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 37*a - 441 = 2*i, -4*i + a + 20 = 4*i + 2*a for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 159728 divided by -79864?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1228 a factor of 20284424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of v**7\/840 + v**6\/240 + v**5\/15 + 5*v**2. Let g(z) be the third derivative of k(z). Find the first derivative of g(c) wrt c.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.04 + 0.44. Which is the biggest value? (a) 5\/2 (b) -10 (c) x (d) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -403 = -266*x + 283*x + 192 for x.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -51*b**3*g - 42*b**3 + b*g + b - 4*g - 23 wrt b?\nAnswer: -306*b*g - 252*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 5) to base 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 173\/2 + -89. Let f = -61 + 68.3. Let o = f - 3.3. Which is the nearest to 1\/3? (a) 1 (b) h (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -11. Let m = h + 1. What is the closest to -2 in -0.4, m, 0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of -f**10\/7560 - f**9\/3780 + f**4\/24 - 4*f**2. Let l(t) be the second derivative of z(t). Factor l(o).\nAnswer: -4*o**4*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/10 of a tonne?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/10, 7, 0.6, -0.1 in decreasing order.\nAnswer: 7, 0.6, 3\/10, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -6. Let m = v + -3. Let n be (-80)\/6*(-72)\/m. Round n to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8649 and 66123?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -3*w**2 - 5*w - 6. Let b be z(-1). Put -2, b, 0 in descending order.\nAnswer: 0, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-3 - (3 - (-3 - -6)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 158 + -156. Suppose -3*f - 2 - 1 = 0, f + 251 = w*n. Is 11 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*v**2 + 528 - 451 + 14*v**2 to g*v**2 + f*v + n and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 163309766 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {o: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 4*b - 6*b**3 - 3*b**3 + 3 - 4*b**2 + 6*b**3 + 2*b**3. What is o(-3)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -44 + 40. Let x be i\/(-3)*(-63)\/(-14). What is the greatest common divisor of 36 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -200, 9, -112, -4 in decreasing order.\nAnswer: 9, -4, -112, -200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 7) to base 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 6:11 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - 6. Let b = 0.7 - 0.2. Let q = -461.1 - -461. What is the nearest to q in -3, c, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j - 2*d - 4, -463*d + 466*d = -2*j - 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/6*(-1512)\/(-112)*(-3)\/(-18)*-1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 27, 109, 279, 567, 1003?\nAnswer: 1617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -396, -1591, -3582, -6369?\nAnswer: -9952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sslb when four letters picked without replacement from {l: 6, b: 8, s: 3}.\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 5*y = 47, s + 2*y + 3*y = 51 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 15 = -2*u + 5*p, 2*p = -u + 3. Solve 5*r - 10 = 0, -4*s + 2*r - u = -5*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 6*h**3 + 1. Let a be c(1). Let w(o) = 5 + 8*o**2 - 4*o**2 + 2*o**2 + a*o - o**3. Let d be w(7). Solve 0 + d = -5*t - 5*x, x + 13 = 2*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -3 (b) -0.087 (c) -2\/59 (d) 0 (e) -5 (f) 1\/284\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 808, 2010, 3202, 4384, 5556?\nAnswer: 6718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1089959 divided by 83843.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (2030\/50 + -34 + 30)*5\/3\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -689*w - 500*w + 178*w.\nAnswer: -1011*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -420 + 414. Let p(q) = -q**3 - 6*q**2 + q. Calculate p(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 111, 228, 351, 486, 639?\n\"Answer: p**3 - 3*p**2 + 119*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 7, 1, 0, 2, -1 in increasing order.\nAnswer: -1, 0, 2\/5, 1, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -101 - -118. Suppose 0 = -4*z + 8 + 12, -2*s - r = -3*z. Let w be 1 + -9 + 0 - 0. Put s, w, 3 in ascending order.\nAnswer: w, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 304143?\nAnswer: 3, 7, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 70\/(-42)*(-1 - 2). Suppose -1165 = -5*m + x*u, -2*u = -4*m + 465 + 457. What is the lowest common multiple of 9 and m?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (-254)\/(-12) - ((-114)\/(-36) - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7613339?\nAnswer: 7613339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 5) in base 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247511 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zkdqqzqppzkqdppqkpqp. Give prob of picking 1 q and 1 d.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -37\/8 (c) -4 (d) 0.0034\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140 = 16*q - 3*l, q - 3144*l + 11 = 3145*l - 6293*l + 3 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 516240682?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*c + 25*c - 266. Suppose -c*x - 69520 = -30*x. Round x to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(5*sqrt(4) - sqrt(4)))**2*-5 + 0 + sqrt(5) + (sqrt(720) - (-5*sqrt(720) + sqrt(720))) + (sqrt(45) - sqrt(450)\/sqrt(10))**2.\nAnswer: -25\/16 + 61*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9306 and 1212948.\nAnswer: 57008556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 141 + -101. Let u be (90\/p)\/((-33)\/(-8)). Which is smaller: 1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 28*i. Let r(v) be the third derivative of 3*v**4\/8 + 7*v**2 - v. Calculate n(r(h)).\nAnswer: 252*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 312 divide 2723812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 12*x = 8*x - 40173, -2*o = -5*x - 80370. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*a + 6. Let k(x) = -2*x**3 - 2*x + 1. Let b be k(1). Let t be b\/(-6)*(a + 6). Which is smaller: t or 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o - 4*w + 19000004 = -6*o, 5*o = w + 94999999. What is o rounded to the nearest 100000?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 62 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1784, 6395, 16660, 35405, 65456, 109639?\n\"Answer: 471*n**3 + n**2 + 1311*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -200 divided by -29654.\nAnswer: 100\/14827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f = 5*m - f + 25, -5*m + 3*f = 25 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2*u + 16 = 0, 0 = -4*v + 6*u - 2*u + 20. Suppose 0 = 4*o - 4*q - 20, 5 = -v*o - 7*q + 6*q. Solve 3*r + 7 = -2*j - o*j, -4*r + 5*j = 40 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j*l**2 - 56167*j*l - 3*j - 17*l**2 wrt l.\nAnswer: 2*j - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pq when two letters picked without replacement from {a: 4, u: 8, e: 2, q: 1, p: 1}?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5949509 - 0?\nAnswer: 5949509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -2*h**2\/3 - 385426*h\/3 - 3854060\/3 = 0.\nAnswer: -192703, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1612*y + 1613*y = 15. Find the third derivative of -16*n - 3*n**3 + y*n + n + 48*n**2 + 55*n**4 wrt n.\nAnswer: 1320*n - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*c**4*n**2 - 9*c**4*n - c**3*n**3 + 44*c**2 - 2*c*n**3 wrt c?\nAnswer: -192*c*n**2 - 216*c*n - 6*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - -0.565.\nAnswer: 0.665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.259 + -0.059. Let v(h) = -h - 13. Let m be v(-6). Let q be (-4)\/63 - 2\/m. Which is the closest to 0.2? (a) q (b) 0.3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**(1\/4)\/g))**23)**(2\/195)\/((g*g\/(g*g*g**(-6))*g**(2\/5))\/(g**5*g*g**5*g)) assuming g is positive.\nAnswer: g**(469\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h + 6. Let w be a(-3). Let m = 1 - -5. Solve z + m = w for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 556 is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 8*t**2 - t - 5. Let m be (2\/(-3))\/(2\/(-18)). Suppose -w - 2*n = 6, -m*w - 5*n = -2*w + 21. Is r(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 604.51+5\nAnswer: 609.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 753274 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x + x - 4855 - 4840 + 9695. Let p(q) = 6604*q. Give p(a(i)).\nAnswer: 13208*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**3 - 4*l**2 + 4*l + 3. Let c(m) = 3*m**3 - 8*m**2 + 7*m + 5. Let q(j) = 5*a(j) - 3*c(j). Let p be q(-4). Solve -p*n = -0*n + 12 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.327 and -1665.77.\nAnswer: -544.70679","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*v**3 + 48*v - 48*v)*(-v + 3 - 3) + 5*v**4 + 14*v**4 + 14*v**4 as j*v**3 + l + p*v**2 + n*v**4 + x*v and give n.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 63053 - -0.5.\nAnswer: 63053.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14372 - -14373. What is the nearest to 3\/4 in 0, c, -2\/3, -0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 44 = -0*p. Let b(d) = d**3 - 7*d**2 + 1. Let c be b(7). Suppose -2*x + p = -c. Calculate the lowest common multiple of 9 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 227102 divided by -5\nAnswer: -227102\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 7*f**2 - 13*f - 6. Let x be z(-4). Suppose -103 = 11*a - x. Factor -1\/4*y**4 - 1\/4*y**a + 0*y + 0*y**2 + 0*y**3 + 0.\nAnswer: -y**4*(y + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2578791373 to the power of 1\/4, to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-104*r**2 - 204 + 204)*(-3*r + 1 - 1)*(3*r**2 - 2*r**2 - 3*r**2).\nAnswer: -624*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f - 3. Let g(a) = a**2. Give g(b(n)).\nAnswer: n**2 - 6*n + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -204082774 + 204082819.7114922. Let a = q - 70.7114945. Let r = 25 + a. Round r to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -406.8 - 1.0495.\nAnswer: -407.8495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 + 17*d + 71. Let o be l(-10). Let i be o\/5 + (-1378)\/65. Do -4 and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 2 - 2)*(3 + 2 - 3) - 2 + 4 + 0 + 0 - 17 - 1)*(0*f + 1 + 5*f - f).\nAnswer: -72*f - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 480133 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of -o**6\/40 + 211*o**5\/20 - 11235*o**4\/8 + 11025*o**3\/2 + 2*o**2 + 299*o. Let z(x) = 0. What is x?\nAnswer: 1, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hl when two letters picked without replacement from {x: 4, y: 2, l: 1, v: 3, h: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 597.\nAnswer: 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -240, -162, 228, 930, 1944, 3270, 4908?\n\"Answer: 156*g**2 - 390*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.331686 to one dp.\nAnswer: -6.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-620 + 161 - 793)*(y**2 + 4*y**2 - 4*y**2) + (-4 + 2 + 0)*(-y**2 + y**2 + y**2).\nAnswer: -1254*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 899638, 899744, 899850?\nAnswer: 899956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -35*i**4\/4 - 5*i**3\/3 - 25*i + 354. What is the derivative of c(t) wrt t?\nAnswer: -105*t**2 - 10*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -499 - -3724. Is h a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 + 62\/14 - (-22)\/14. What is the third smallest value in -6, r, 2\/9?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 933 is divided by 193.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three fifths of a centimeter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -3*z. What is w(-6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 91*i - 40 = 86*i, 0 = w - 4*i + 21 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -5*l - 6. Let s be t(-6). Find the common denominator of -59\/4 and ((-11)\/(-16))\/((-4)\/s).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3859.\nAnswer: 17, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -3641000 to the nearest one hundred thousand.\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 10142?\nAnswer: 10144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 71.2 - 74.2. Let i be 3\/(-6) - (-9)\/30. Put u, -1\/2, 4\/9, i in descending order.\nAnswer: 4\/9, i, -1\/2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -49 - -51. Let x be ((-4)\/(-4))\/(u\/1306). Let b = x - 455. List the prime factors of b.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3*s - 4. Let f(m) = -2*m - 3. Let y(c) = -4*f(c) + 3*r(c). Let h(z) = 8*z**2. Give h(y(p)).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.98 - -0.02. Let a = 0.06 + -0.26. Let n = 0.3 - 1.3. What is the nearest to n in t, a, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 8:38 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 6*j**2 - j - 12. Let p(t) = -t**2 + 11*t - 22. Let s be p(9). What is the tens digit of r(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, x: 2}. Give prob of picking 3 v.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -38620 or -38619?\nAnswer: -38619","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 5*n. Let q(m) be the second derivative of -1\/3*m**3 + 0*m**2 - 4*m + 0. Calculate q(c(b)).\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55, -218, -491, -874, -1367?\nAnswer: -1970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 481 + -479. Put 2\/17, o, 107 in decreasing order.\nAnswer: 107, o, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1*sqrt(2) + (sqrt(10) - sqrt(10)*-2)\/sqrt(5) + sqrt(2))**2 + sqrt(256)\/(sqrt(8)*1) + (-3*sqrt(384) + sqrt(24))\/(sqrt(588)*-2).\nAnswer: 347*sqrt(2)\/14 + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -225, -226, -227, -228?\nAnswer: -229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 697 divide 695528633?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7\/4 of a gram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 4*g**3 + 1 + 2 - 3*g**3 + 3*g**2. Let a be d(-3). Suppose 0 = -m + 3*t + 61, -a*m - 3*t + 4*t + 199 = 0. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10726 and 346.\nAnswer: 10726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 2 - 4 + 31*z**3 - 27*z**3 - 2*z**4 to g*z**4 + k + i*z**3 + x*z**2 + n*z and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7551024)\/750262 + ((-2 + (-21)\/(-9))*39 - 3).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 7532953\nAnswer: 15065906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 - 3233. Let w(v) = 46*v. What is k(w(c))?\nAnswer: 2116*c**2 - 3233","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1370 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 213337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 32*c**2 - 27*c + 119. Calculate j(-31).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of l**4\/4 + l**2 + 2*l - 6. What are the prime factors of g(4)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 + 7*p**2 + 2 - 7*p - p**2 - 3. Let j = 18 + -14. Suppose -4*r = -j*h - 8, 2*h + 3*r + 29 = -0*h. Give s(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 11. Suppose 2*u - 25 = r*h, -u - 25 = 5*h - 0*h. Solve -2*v - 2 - 2 = u for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2576440 rounded to the nearest 10000?\nAnswer: 2580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + 19*h + 41. What is r(-18)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 9:13 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5215 - 0.08348\nAnswer: -5215.08348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - ((-10 - -10) + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {i: 12, t: 4, j: 4}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*h - 42491 - 35335. Let p = h - 7800. Suppose -3*a = 3*a - p. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5074*z - 76800 = 4274*z for z.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 68953145?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 4*z**2 + 5*z - 1. Determine d(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p + p - 2*p)*(-1 + 1 - p**4) + 31*p**5 + p**4 - p**4 + 3*p**5 + 3*p**2 - 2*p**5 + p**5.\nAnswer: 29*p**5 + 3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 12:25 AM?\nAnswer: 11:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -13*t + 5. Let u = -13121 - -13119. Let a(l) = 6*l - 2. Suppose 2*s - 44 = -5*c, -s + c + c = -40. Suppose 4*k = -s + 12. Determine k*a(p) + u*o(p).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 divided by 494255.\nAnswer: -32\/494255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, 25, 3\/5, 1\/10 in decreasing order.\nAnswer: 25, 3\/5, 1\/10, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 4004022324?\nAnswer: 4004022331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 121\/24 + (-23)\/((-3864)\/(-7)). Solve f*r - 30 = -5*b, 2*b + 0*r - 9 = r for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 z when four letters picked without replacement from {c: 7, z: 1, w: 6}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -270 + 272. Solve 0*b - h = 2*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-67 - (6 + -32)) + 76\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -654 + 294 + 254 = 36*z + 17*z. Let m = -5 + 8. Sort -8, -1, z, m.\nAnswer: -8, z, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -54 by -9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-118)\/((-9)\/4 - 5\/(-20)). Solve -6*t = u - 53 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005611682 rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from lwwllgmmmllcmls.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1606207 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7776 + -6966. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, 10, -2\/9, -0.8, 1\/7?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (4 - 1) + -12.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.41 + 4.41. Let x = 2.4 + -0.4. Put g, x, 0.4 in increasing order.\nAnswer: 0.4, x, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/3 - 188*p\/3 - 380\/3.\nAnswer: (p - 190)*(p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q + 7*q**3 - 14*q**2 - 6*q**3 - 5*q**2 to the form z*q + d*q**2 + r*q**3 + k and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*r + 4488 = -33*r + 27*r for r.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/7))**(-48) assuming x is positive.\nAnswer: x**(96\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*4\/(-10) - -1. Let x(f) = -12*f - 39. Let o be x(-3). Let p = 11 + -10.8. Which is the second biggest value? (a) p (b) q (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -46.2 + 47.2. Let o be (2\/(-12))\/(1\/(-3)). Which is the closest to w? (a) 1\/4 (b) o (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 703301 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 1, -159.\nAnswer: -159, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5\/14 (b) 4 (c) -4\/5 (d) 3 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 4*x + 4*o + 20, 3*x - o = -3. What is the closest to 3 in -4, x, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -874*q + 26868 + 7087 = -131 for q.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5\/2, 0.2, 130.\nAnswer: -5, 0.2, 5\/2, 130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112010545.\nAnswer: 5, 79, 283571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -281, 0, -67, 34 in increasing order.\nAnswer: -281, -67, 0, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**6*n)\/n*n**6*(n\/(n**(1\/2)\/n))**(-8))**(-4) assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16)\/(sqrt(6)\/sqrt(3)) + sqrt(8) - (sqrt(8) + 0 + 3)) + -5.\nAnswer: -8 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 406633?\nAnswer: 406633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4014 and 466962.\nAnswer: 1400886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -53422.119 rounded to the nearest one hundred?\nAnswer: -53400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 79876 and 35326212?\nAnswer: 4204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/5 of a meter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3555 (base 6) in base 2?\nAnswer: 1101011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1212 - 1178. What is the remainder when 209 is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(-3 + -1) + -2. Suppose 3*h = -w*y - 4, 3*h - y - 24 + 13 = 0. Solve 6\/5 - 2\/5*r**3 - 14\/5*r + h*r**2 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69796587403 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6503 + 32223\/5. Is y smaller than -57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 415452*z**3 + 2*z**2 + 9*z + 49.\nAnswer: 2492712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 20, 2, 1\/3, 5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11607492 and 22152?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 150*24\/192*(-74)\/(-185)?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from smqqdqqqiqsqdq?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-80)\/1 - (-84)\/12. Let j = -69 - w. Solve j*y = -2*y - 24 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of k**4\/8 + k**2. Let o be w(3). Let s(p) = -2*p + 0*p + p**2 + 2*p**2. Let h(f) = -7*f**2 + 4*f. Calculate o*s(a) + 4*h(a).\nAnswer: -a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate d*y**3 + 2*d*y**2 - 2973*d*y + 1075081*d wrt y.\nAnswer: 3*d*y**2 + 4*d*y - 2973*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17.85 - 18.35. Sort -2\/157, g, 3 in increasing order.\nAnswer: g, -2\/157, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 3*w. Let u(o) = -2 + 2*o + w*o + 3. Give u(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 + 3*i + 3. Let q be t(2). Suppose 2*j + 4*a = 26 - 2, 15 = -q*j + 5*a. Which is smaller: j or 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - r + 8 = 0, -1825*w = -1820*w + 3*r + 46 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1593 + 4032 = -46*b - 2998 - 635 for b.\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7245a + 0?\nAnswer: 7245a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (26 - 6 + 16)*(-f + 97*f + 45*f) + 4*f - 4*f + 2*f to the form d*f + n and give d.\nAnswer: 5078","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 95 and 6982880?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*z + 10*z - 24*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-5)\/3 + 1)\/(14\/(-63)). Suppose 5*a = -d + 6, -3*d + 8*a - 2 = 3*a. Let u = -7 + 3. What is the closest to 0 in w, u, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1192, -2378, -3556, -4726?\nAnswer: -5888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.71 and 0.1.\nAnswer: 1.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16 and 125\/4932.\nAnswer: 4932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 507664510.\nAnswer: 2, 5, 23, 2207237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 162\/9*2\/(-3). Let v(a) = -2*a**3 + 15*a**2 + 8*a + 1. Let l be v(8). Is (l + (-15252)\/(-16))*c\/(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 621218 and 1146864.\nAnswer: 14909232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1285440311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 36. Suppose t - 23 + 32 = 0. Let n(b) = b**2 + 8*b + 10. What is the remainder when g is divided by n(t)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/3*(-1)\/(-2). Let x(a) = -a**2 - 4*a + 3. Let q be x(-5). Let r be (-2 - q) + (-2)\/(-5). What is the third smallest value in i, r, -1\/6?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/5 and -35\/1749.\nAnswer: 8745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 + 1)*(-k**2 - 6*k**4 + k**2) to x*k**4 + g*k + h*k**2 + j*k**3 + l and give x.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-2)\/((-56)\/(-7))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*y + 8*y + 13 = 2*h, 32 - 56 = -4*h for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8945071357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 208.\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 2) in base 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-209)\/16 - (46\/(1196\/338) - 26).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (62 - 0) + -578 + 558 - 11.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -42*w + 250. Let m be t(6). Which is the closest to 1\/4? (a) -1 (b) 4\/5 (c) 2\/9 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5327*f**2*q + f*q + q - 32493 wrt f?\nAnswer: -10654*f*q + q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 2*g = 9, -4*g = 5*l - 0*l - 33 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 l when two letters picked without replacement from {w: 3, y: 3, f: 1, l: 2, a: 1, n: 1}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27652\/27 - 1024. Let z(u) be the first derivative of -m*u**3 + 0*u**2 + 2 - 1\/18*u**4 + 2\/45*u**5 + 0*u. Solve z(a) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m**2\/9 + 17402308*m\/9 - 69609296\/9 = 0 for m.\nAnswer: -4350581, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/3)\/((-6)\/(-342)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, h: 4, x: 2, p: 2, a: 2}. Give prob of picking 1 a, 2 p, and 1 x.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001014009344 to 4 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -13*n - 31. Let m(c) = -7*c - 16. Let h(d) = 5*m(d) - 3*o(d). Determine h(-7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 227 + -1 + -105 - 96.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 3 - -7 - 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13545268 by -4.\nAnswer: 3386317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*n + 0*n - 2*n**3)*((2 + 0 + 0)*(4 - 4 - 2) + 25 - 110 + 47) in the form q*n + t*n**2 + y + u*n**3 and give u.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-35808)\/(-81) - (-114)\/(-1539) is divided by 216?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -230*f - 93*f**5 + 2 + 490*f**5 + 454*f wrt f.\nAnswer: 7940*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3143 take away 4101126?\nAnswer: -4104269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -23830 less than -119144\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = 5*d + 50, -3*d = s - 3 + 23 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12 - m - 12)*(-4*m + 5*m - 3*m)*(-m + 0*m - 10*m) to the form s*m**3 + g*m + z + v*m**2 and give s.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*g + x = -10*g, 3*x + 18 = -3*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 0*n + 0*n + 1 - n. Suppose -3*u + 3*f + 10 + 8 = 0, -4*u - 16 = 4*f. Calculate m(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = 15*r + 68, 119*l + 18 = -5*r + 120*l for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yfy when three letters picked without replacement from yyrtf.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5668.896 milligrams to tonnes.\nAnswer: 0.000005668896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 + 9*d + 6. Suppose -6*l + 3*l = -2*v - 3, 3*l + 33 = -2*v. Let g be a(v). Let m(b) = 1 + b + 1 - g - 4*b. What is m(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (11\/(-3))\/((-3)\/45). Suppose 15*u - 4*u = 0. Let k = j + u. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 10*n - 10 = -8*n, -x - n + 7 = 0. Solve 24 = x*a + 4*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4586000 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 360 + -348 - (-19 - (1 - 3)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 - 452 = -17*c - 7. What is the remainder when 93 is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7541938 days in seconds?\nAnswer: 65162.34432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 9) to base 8\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1527*p - 20 + 568*p + 12 + 9.\nAnswer: 2095*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.077952848 rounded to four dps?\nAnswer: -0.078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do 5\/4243 and 7\/62 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5357 rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 4*s**2 - 6*s + 3. What is the remainder when o(4) is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o**3 - 122*o**2 - 33*o - 2015. Calculate n(-61).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*f - f**2 - 2*f**3 + 17*f + 3*f**2 to the form u*f + s*f**2 + o*f**3 + l and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*i - 39681 = 6*i - 944897. Does 35 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 4*k + u + 44318 = 0, -k + 4*u - 11088 = 0. Round k to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 1274*c**3 + 49*c - 49. Let s(o) = -53*o**3 - 2*o + 2. Determine 2*f(j) + 49*s(j).\nAnswer: -49*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1644 - -2963. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1766554806 to the power of 1\/2, to the nearest integer?\nAnswer: 42030","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -90, 3, -8044, -3, 0, -26 in decreasing order.\nAnswer: 3, 0, -3, -26, -90, -8044","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 65 + (-70 - -69 - 68).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of 12*t**6 + 0*t**5 + 0*t**4 + 41 - 4*t - 1\/3*t**3 + 3\/2*t**2. Find the second derivative of x(s) wrt s.\nAnswer: 1440*s**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 - 3*y**2 - 5*y - 5. Let h be v(5). Suppose -3*r + h = 5. Suppose 0*q - r*q = -25. What is the greatest common divisor of 15 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxhxxxxxxxxxxxxxxxxx. Give prob of picking 1 x and 1 h.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o + 7 + 0*o + 5*o + 1. List the prime factors of r(5).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2948 + 6505. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1431349 divided by -1.\nAnswer: -1431349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 10 = 0, 0*p + 4*o - 8 = p. Let l = -4 + 6. Let v be (-6)\/l*(-10)\/30. Sort v, p, 2 in increasing order.\nAnswer: p, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/5 - 151977412*r - 28871417197772180.\nAnswer: -(r + 379943530)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22706 (base 10) to base 13.\nAnswer: -a448","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - -844608.\nAnswer: 844624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(264)\/(sqrt(12) - sqrt(12)*-3))\/(sqrt(220)\/sqrt(5) + sqrt(11))*1.\nAnswer: sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/2130 and -13\/20022.\nAnswer: 100110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -338495.506 rounded to the nearest 10000?\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00016979 rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0231 rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 PM and 12:41 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_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: What is the greatest common divisor of 1460 and 145035305?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 113 (base 7) in base 11?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 + 19.89. Let v = 0.09 - m. Put v, -0.3, -4 in increasing order.\nAnswer: -4, -0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**5\/6 - 379*v**4\/2 - 16843*v**3\/6 - 4857*v**2\/2 + 8422*v\/3 + 2618 = 0 for v.\nAnswer: -1122, -14, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -4, -8521.\nAnswer: -8521, -6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -123 - -236. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of 2*v**8\/105 + 2*v**7\/105 + v**6\/180 + 2*v**3\/3 + 2*v**2. Let z(t) be the first derivative of y(t). Factor z(i).\nAnswer: 2*i**2*(4*i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -3827.\nAnswer: 1\/3827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2576 and 39496681.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 129 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25*y**6 - 195*y**4 + 82400*y**2 wrt y.\nAnswer: 3000*y**3 - 4680*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 462947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 21 = -4. Suppose 3*o - 5*k - 63 - 42 = 0, -5*k + 175 = m*o. What is the remainder when 207 is divided by o?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**2 + 7 + 2*t**4 - t + t**2 + 0 to r*t**4 + c + a*t**3 + b*t**2 + j*t and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 5*h + 25 - 2, -5*h + 4*j - 7 = 0. Let w(q) = -q**2 + 7*q - 1. Let k be w(8). Let s = h - k. What is the lowest common multiple of 8 and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2696563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.0999999 + -3.1. What is m rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of -3*c**2 + 0*c**4 + 0*c + 0 - 3\/2*c**3 + 13\/60*c**5. What is the derivative of q(w) wrt w?\nAnswer: 26*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*b**3 - 30*b**3 - 25*b**3 + 30*b**3.\nAnswer: -80*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*18\/4 - -3. Suppose -6*b = -0*b - s. Solve 0*t - 2*t + b = 0, 14 = -5*u + 4*t for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105109.1l in millilitres?\nAnswer: 105109100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3531256979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**2 + 6*h + 1. Give q(5).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 122 - 72. What is the greatest common factor of k and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(6\/(-19)) + 47\/(-141). Let y(l) = 10*l - 4. Let j be y(k). Is j greater than or equal to 57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - -2207?\nAnswer: 2205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 48, 67, 98, 147, 220, 323?\n\"Answer: n**3 + 12*n + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 9 = 3*h, 3 = 2*h - 3*u - 3. What is the remainder when 38 is divided by (-39)\/(-2)*2\/h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -h**4\/3 + h**3\/6 + 71*h**2\/2 + 64*h. Differentiate v(x) wrt x.\nAnswer: -8*x + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 12\/5*t - 2\/5*t**2 - 18\/5 = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34573 and 27196379?\nAnswer: 3143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = -3*a + 5*m, 3*m - 31 = 9*a - 5*a. Let i(x) = -x. Let d(b) = -2*b. Suppose 2*u - 5 - 5 = 0. Calculate a*i(f) + u*d(f).\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-4\/5)*y*y*y**(-9\/8)*y*(y**16)**(-2\/3) assuming y is positive.\nAnswer: y**(-1151\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9639\/(-756))\/(660\/36*3\/8 + -5).\nAnswer: -34\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*g + 5*d - 0*d, -d + 3 = 3*g. Suppose 22 = 4*f + 2*h, g*f = -3*f + 3*h + 3. Solve z = -z + f for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 - -18. Let o be ((-1)\/(-1) + 245\/(-25))*z. Let u = o - 18. Calculate the highest common divisor of u and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 108804460 to the nearest integer?\nAnswer: 10431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3*z + 4 - 19 = 0, 2*z = -3*p + 80. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, b: 1, t: 4, x: 1, h: 1}. Give prob of sequence hsx.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 - 9*v + 8. Let y be j(9). Suppose y*c - 3*c = 2*l + 22, -5*l = 4*c - 11. Find the first derivative of 5 - c + 2*q**4 - 4 wrt q.\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - 3*f**2 + 2*f - 2. Let k be j(3). Let h(s) = k*s**3 - s**2 - 2*s + 216 + 203 - 3*s**3 + 4*s. Is h(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 6*b**2 + 31*b**3 - 62*b**3 + 30*b**3 - 2 to the form d*b**3 + v*b**2 + g*b + w and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -12. Suppose 4*s + h = 12. Suppose 0 - s*i + 2*i**4 + 1\/2*i**5 - 2*i**2 + 3\/2*i**3 = 0. What is i?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -719172, -1438358, -2157544?\n\"Answer: -719186*j + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7430 and -0.5.\nAnswer: -3715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18.03 - -18.17. Which is the second smallest value? (a) -1\/10 (b) l (c) 0 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 84955.\nAnswer: -5, 4, 84955","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11039, -11042, -11045?\nAnswer: -11048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*j**3 - 4*j**3 + j**2 + 2*j**4 + 3*j - 3*j + 3 as h*j**4 + m*j**2 + v*j**3 + a*j + o and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 169 - 44867012.\nAnswer: -44866843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o**2 + 164*o + 106. Calculate a(-54).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105466105?\nAnswer: 5, 4201, 5021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 + 20. Let f(o) be the first derivative of 0*o**2 + 1\/2*o**4 - o + g*o**3 + 2. Differentiate f(u) with respect to u.\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*z = -17*z + 12. Let k be (-3)\/((-15)\/44)*(-5)\/z. Suppose k = 2*g + 2. Solve -3*x + x - g = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -69*a + 5 - 6 + 75*a + 3 - a**2 - 3. Let q = 6 + -3. What is t(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 188 + ((-2)\/1 - -2). Let p be y*-1*(-2)\/4. Calculate the common denominator of -4 and 4\/14 - p\/(-63).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/9 - 31\/18. Let r be 10\/(-8) + (-2)\/(-8). Let q = 366578.2 - 366579. Which is the nearest to 2\/9? (a) q (b) r (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17926*d**5 - 66*d**2 - 94?\nAnswer: 1075560*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8624318.\nAnswer: 2, 1663, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3411 + 19171. List the prime factors of z.\nAnswer: 2, 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.12297 and -0.1403?\nAnswer: -0.017252691","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ednd. What is prob of picking 2 d and 1 n?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 55 = -5*z, -27 + 79 = 5*z - 4*y. Solve 11 = 3*a + z*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 225764 and 238.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -385*l - l**3 + 2*l**2 + 775*l - 387*l.\nAnswer: -l*(l - 3)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 37 = -1. Let k be (-2 + (-16)\/z)\/(-2). Determine b, given that 4\/3*b**2 + k*b + 5\/3*b**5 - 2\/3 - 2\/3*b**4 - 10\/3*b**3 = 0.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 4*h = 28, 3*h + 6 = n + 19. Suppose -p - 4*s + 1632 = 3*p, 5*p + n*s - 2031 = 0. What is the hundreds digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 79 + -54. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/476692 and -99\/1972.\nAnswer: 235009156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -679.03 - -676. Let u = p + 3.03000212. Round u to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 3*f + 5, 3*f - 11 = 4*y + 9. Suppose 5*o = -2*s + 109, f = -0*o - o + 5*s + 11. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 63 + 38. Let d = t - 62. What is the tens digit of (d + 1)*6\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22295 + 24297. What is the greatest common divisor of 156 and c?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58667.\nAnswer: 7, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11257 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.67 - -1.8. Let g = -0.77 + f. What is g rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43 + 43. Suppose j = 3*z - 0*z + w - 483, -z - w = -161. What are the prime factors of z?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 4:39 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - 3*p**2 - 2*p - 3. Let y be 2\/((-3)\/9*-2). Suppose 13 = y*k + 1. Give h(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 3210*u + 2 + 2 - 10962*u - 3.\nAnswer: -7752*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mcb. Give prob of sequence bmc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 - v**2 - v - 4. Determine f(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) + 1 + sqrt(243))**2 + 5 + 5 + ((-1*(sqrt(3) - (sqrt(3)*-2 - sqrt(3))) - (-1 + sqrt(3))*-1) + -2)**2.\nAnswer: 54*sqrt(3) + 1019","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2217 (base 14) in base 10?\nAnswer: 5901","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-2 + -1 + 10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -90.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 4*w + 1528, 2*i - w - 1255 = -492. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m + 884 = -10*m. Let t = 55 + m. Solve -t*o - 22 = 3*i + 2*o, -4*i + o = 14 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*w + 7*w - 3*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 468\/(-1482) - 896508\/(-38).\nAnswer: 2, 3, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -925 (base 13) in base 8?\nAnswer: -3020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 12:54 PM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 161202 - -6.\nAnswer: 161208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2 + 2898330*x + 17389908.\nAnswer: 2*(x + 6)*(x + 1449159)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r + 3*r - 9. Let d be (-4 + -4)*r\/(-4). Suppose -d*q - 174 = -9*q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1364*b**2 - 2*b - 173?\nAnswer: -2728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.076852, 1\/166, -4?\nAnswer: 1\/166","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 112613*t - 112613*t - 711*t**2 to g + z*t**2 + w*t and give z.\nAnswer: -711","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 923.\nAnswer: 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uf when two letters picked without replacement from ufufuu.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*m = 118*m + 2914 for m.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + k**2 + k + 2. Let v(r) = 3*r**3 - 7*r**2 - 2*r - 5. Let t(l) = -4*u(l) - v(l). Let g(s) = -s**3 - 2*s**2 + s + 2. Give -3*g(c) - 2*t(c).\nAnswer: c**3 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 + 6*p + 5. Let o be j(4). Suppose -8 = 2*n - 5*n + 2*h, h + 14 = 4*n. Suppose -n*f + 35 = -o. Calculate the remainder when 34 is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23 * -434.\nAnswer: 9982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -7148160 to the nearest ten thousand.\nAnswer: -7150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 0 + 8 + -14.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 4*t - 14, 2*v = -3*v - t + 20. Let u(o) = v + 5 + 2*o - 3*o. Suppose -5*h = -5*p + 20, -4*p + 3*h + 16 = -0*p. What is u(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -351, -1423, -3633, -7389, -13099, -21171, -32013?\nAnswer: -46033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13207 + 1624. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1937 + 3620. What is the greatest common factor of 2142 and i?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p - 5*f = 4*p - 15, 1117*p = 1112*p - f + 24 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 51857 divided by -5\nAnswer: -51857\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2806673701?\nAnswer: 13, 17, 353, 35977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c - 3 = -c + 33 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-42)\/35 + (-112)\/(-60). Let z = 0.2 - -0.3. Which is the closest to 1\/3? (a) i (b) z (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2. Let p = -3697 + 3697. Let g(a) be the third derivative of 0 + 0*a**3 + p*a + 0*a**4 + 21*a**2 - 2\/5*a**5. Give g(k(x)).\nAnswer: -24*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccczcczzczcczc. Give prob of picking 2 z.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 + 3 + (-74 - (-65 - 52))?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8820 divided by -14?\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 45165 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4*z - 9 = 0, 0 = -6*j + 2*j + 5*z - 57. Let a be 2\/j - 3048\/(-39). Suppose -4*b + a = 14. What is the greatest common divisor of b and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s**2\/3 - 5*s\/3 - 4060\/3 = 0. Calculate s.\nAnswer: -28, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2716 - -329587\nAnswer: 326871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100001110111100 + -1?\nAnswer: -1100001110111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14218802.87500146 + 14218803. Let w = 0.185 + -0.06. Let t = w - a. Round t to seven decimal places.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2. Suppose 0 = 16*c - 26*c + 500. Let l(k) = -67 - c - k**2 + 75. What is l(u(w))?\nAnswer: -w**4 - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 134*a**2 + 2 + 2*a + 2*a - 4 - 146*a**2 in the form o*a + d*a**2 + t and give d.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 times 935.848\nAnswer: 56.15088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1936 + -1828. Solve 626*k = 638*k + b for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160 + 13*t - 458 + 140 + 156 + 22*t.\nAnswer: 35*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 4*b**3 - 4*b**2 + b + 2. Let u be g(2). Let k be 290\/u - 1\/2. Let t be (k\/(-4) - -1)*-2. Solve i - t*l = -14 - 0, -4*i - 11 = -5*l for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4 = 3. Let u = -5 - t. Is u less than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/5? (a) -2\/9 (b) 0 (c) 1\/4 (d) -42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 36 = -5*d. Let g = -7 + d. Let w(y) = -y**3 + 7*y**2 - 4*y - 4. Is w(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 317 - 5*a + 3*a - 315 + (-3 - 1 + 6)*(-a + a - a) - 4*a + 3*a + 0*a.\nAnswer: -5*a + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 + 4*r - 37. Suppose 5*n + 38 = 2*t, 106 = 2*t + 108. Give c(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 785317, 785274, 785205, 785110, 784989?\nAnswer: 784842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(110) + sqrt(110)*1*-5 + sqrt(110) - sqrt(110)))\/(sqrt(60)\/(sqrt(6) - sqrt(54)\/sqrt(36))))**2.\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26287.53395 - 26106.533948975. Let i = y + -181. Round i to seven decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**2 + 30*z + 225 = 0. Calculate z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 22192767763 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 102 + 326. What is the hundreds digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1987208264.\nAnswer: 2, 59, 4210187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-1 + 0\/(-3)). Let h be (-2)\/(-4) - 45\/f. Is 84\/h + 2\/(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5a (base 15) to base 16.\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2a - -3?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xs when two letters picked without replacement from xjjxxjjfddjsjfjfjfx.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-9)\/(-12))\/(7\/56)*1. Solve -4*l + 16 = -4*t, l = y*l - t - 12 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/5? (a) 1 (b) 7 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 5 - 15. Let u = m - 8. Let 2\/3 + 2*b**2 - u*b - 2\/3*b**3 = 0. Calculate b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*h - 14*h + 82*h - 16*h - 14*h - 13*h.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -8*b**2 + 16*b - 723. Let w(j) be the first derivative of -5*j**2\/2 + 5*j - 7. Calculate -2*q(t) + 7*w(t).\nAnswer: -3*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*((-345)\/(-170))\/69.\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 6*w. Let q(u) be the third derivative of u**4\/24 - u**3\/6 + u**2. Suppose 5*j + 1 = -0*j + 4*j. Determine j*i(b) + 4*q(b).\nAnswer: -2*b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9854*p**2 - 9857*p**2 - 227*p**3 + 15*p**3.\nAnswer: -212*p**3 - 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -b + 11, 5*h - 3*b = 3 - 16. Let m = h + 2. Is m at least -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -160 or -264075\/1648?\nAnswer: -264075\/1648","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6223243?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2021131301 (base 4) in base 6?\nAnswer: -20022425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 531005317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4261 times -1.075\nAnswer: 4580.575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 + (17 - (15 - 42))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48, 71, 108, 165, 248?\nAnswer: 363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*h**3 - 100*h**6 - 4660*h**2 + 11269*h**5 - 11269*h**5 wrt h.\nAnswer: -12000*h**3 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from sgassaaassssss?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -32*j**2*p*x**2 - j**2*p - 6*j**2*x - 9*j**2 - 2*j*p*x + 12*p wrt x.\nAnswer: -64*j**2*p*x - 6*j**2 - 2*j*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 213 - 148. Suppose z + 2*l = 35 + j, -z = -4*l - 124. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 625 = 6*m - 3*m + 5*q, 416 = 2*m + 3*q. Let u = m + 2905. Round u to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -10*w**2 - 4*w + 2. Let c(m) = -11*m**2 - 5*m + 1. Let j(q) = -3*c(q) + 4*t(q). Let y(s) = 3*s**2 - 2. What is 2*j(v) + 5*y(v)?\nAnswer: v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 5. Let t = -37 - -36.1. Let z = t + 2.9. What is the smallest value in z, -0.3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*l + 27*l + 146 = 2*n, -l - n = -48. Suppose -5*m + 175 = 5*g, 55 = 3*g + 2*m - l. Calculate the highest common factor of 56 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 2003?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f + 18 + 17 = 0, q = 4*q - 2*f + 1 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -274 - 138.0729.\nAnswer: -412.0729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4548504?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of -a**5\/60 + 7*a**4\/24 + a**3 + 2*a**2. Let d be w(7). Suppose -2*h + d + 18 = 0. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141*x + 32*x - 131*x.\nAnswer: 42*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/105)\/((-20)\/125)*(-1026)\/760.\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -4. Calculate the lowest common multiple of 1 + b*(-7)\/3 and (22\/(-2))\/(1 + 6\/(-4)).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**2 + b**2 + 0*b**2 + (0 + 0 + b**2)*(-4 + 3 + 3) - 4*b + 2*b**2 + 4*b + 0*b + 0*b - 2*b**2 + 6*b**2 - 2*b**2 - 3*b**2 + 20*b**2 - 160*b**2 + 69*b**2.\nAnswer: -67*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2120100 - 2?\nAnswer: 2120021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z - 2*z - 5*z)*(4 - 3*z**4 - 4) - 3*z + 3*z - 3*z**5.\nAnswer: 3*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of 3*d**4\/4 - 23. Let q(m) = -5*m**3. Give -3*q(n) - 4*w(n).\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*x = -1024, 195414 = -c + 3*x + 195225 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o + 6. Suppose 6*p = 9*p - 24. Let t(n) = 1 - p + 0 + 3*n - 2. What is 7*l(m) + 5*t(m)?\nAnswer: m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of -l**7\/12 + 2*l**6\/3 - 13*l**5\/8 + 5*l**4\/6 + l**3 - 12*l. Determine o so that u(o) = 0.\nAnswer: -2\/7, 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41 (base 12) to base 4.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 684*b - 678*b = -18. Let a be 21\/(-63)*3\/(b + 0). Find w such that a*w**4 - 4\/3*w**3 + 0 + w**2 + 0*w = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, s: 2, c: 7, g: 10}. What is prob of picking 2 s and 1 c?\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -197*t**3 + t**2 + 2*t + 1. What are the prime factors of k(-2)?\nAnswer: 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 20\/8*1*4. Suppose 3*j + p + 2*p = 0, -2*p = o. Solve j*l + 7 = -3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) -5 (b) 5 (c) -0.2 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8473 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/33 and -11\/735?\nAnswer: 8085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-16)*((-60)\/12 - -3).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-163*p + 6*p**2 + 163*p)*(8*p**2 + 22*p**2 + 3*p**2).\nAnswer: 198*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 562\/(-28)*-4 - 4\/14. Let k = x - 76. Solve -4*i + 4 = -4*l, 0 = -i + k*l + l - 3 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 41*l**2 + 2879*l - 11511. Give j(-74).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**2 - 22*a - 5. Let n be x(11). Let y = n + 9. Solve -2 - 14 = -y*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k + 6. Let f(j) = -j + 3. Let m(p) = 7*f(p) - 4*v(p). Give m(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (4 - (-1 - 3 - 40))\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-5)\/5)\/(2\/(-34)). Let l be 10\/60 + o\/6. What is the remainder when 4\/(60\/365)*l is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-x + 236*x - 15*x)*(-14*x**2 - x + x) to f*x**3 + v + s*x + i*x**2 and give f.\nAnswer: -3080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 10:26 AM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -488\/9 - -54. Let y = 23.09 + -23. Let v = 0.91 + y. What is the second biggest value in 2\/3, k, v?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 0*l - 5*t - 30 = 0, 5*l = -t + 23. Suppose l*u = -5*h, h = 3*u - 8*u. Suppose u = -2*w - w + 12. Solve -a + 3 = -2*y, 0*y - 3*a = w*y + 31 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 70*h**2 - 1454*h - 13034. Calculate the remainder when q(-9) is divided by 229.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - 4 - 12) + -10 + (-2 - -1 - -3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27255247 (base 8) to base 14.\nAnswer: b5387d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 c when two letters picked without replacement from {c: 6, w: 1, y: 2, u: 1, m: 5, s: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 40210 and -0.7?\nAnswer: -28147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5 - (5 + -2 + -12). Suppose -2*i + 25 = -357. Suppose -3*g + 10 = -g, c*q - i = -3*g. What is the remainder when q is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -59\/4*w**3 - 68*w**2 - 39*w + 0 - 3\/4*w**4 = 0.\nAnswer: -13, -6, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/1804 and 89\/6970?\nAnswer: 153340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 + (-20)\/12)*-6 - -82. Suppose -x*p - 2572 = -82*p. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -29, -44, -57, -68, -77, -84, -89?\n\"Answer: a**2 - 18*a - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -6*k - 2. Let a be g(0). Let o be (-1)\/(a\/(-6)) + (-536 - -27). Let x be (o\/12)\/((-2)\/6). Calculate the greatest common factor of x and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37 and 549931?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 5*o**2 + 41*o + 33. What is b(-6)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s. Let d(y) = -y - 2. Let h(l) = -4*a(l) + 2*d(l). Let n be h(3). Find the third derivative of -i**4 + 3*i**2 + 5*i**4 - i**2 - 8*i**n wrt i.\nAnswer: 96*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 402, 1\/24?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 12*o**2 - 12*o. Suppose 3*d - 37 = -k, 2842*d - 2839*d - 3*k - 9 = 0. Give b(d).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15814 is divided by 7861.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/8699 and 27\/11.\nAnswer: 95689","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 143 + -135. Suppose -2*b = -9*q + z*q + 60, 0 = 3*b. Calculate the greatest common divisor of q and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3*l - 15. Let i be z(-9). Suppose -n - i = 3*j, n + n + 5*j + 20 = 0. Suppose -4*m - 3*m - 98 = n. Is m != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77*(-8)\/(-49)*5376\/(-3072).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 439619102?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -x + 335366 + 554242, 4*w - 889592 = 3*x. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 52 and 158722.\nAnswer: 4126772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - g = -948. Let o = g + -327. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-404)\/(-7070))\/((-1)\/(-10))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hrc when three letters picked without replacement from drrdhcaqq?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29998.\nAnswer: 2, 53, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*70.\nAnswer: -350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 + 3. Let t(l) = 9*l**2 - 128*l + 24. Calculate -24*c(b) + 3*t(b).\nAnswer: 3*b**2 - 384*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -185, -170, -145, -110, -65, -10?\n\"Answer: 5*k**2 - 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of 0*n**3 - 8*n**4 - 45*n + 67 - 1\/2*n**2. Differentiate h(z) with respect to z.\nAnswer: -96*z**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/3*9*1. Let s be (-65)\/(-15) - p\/9. Let v be 4 + (-54)\/(-12)*s\/6. Solve -4*l + v = -9 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1720474046 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 5, 16, 1, -7 in decreasing order.\nAnswer: 16, 5, 1, -7, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -3 - 3. Is 3 a factor of m\/(-3)*-1 - -21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 28*d - 23*d for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -1\/5, -269, 5, 0.079 in increasing order.\nAnswer: -269, -2\/9, -1\/5, 0.079, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vn when two letters picked without replacement from {t: 3, v: 1, d: 1, n: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -16 - (-7 - (-31 - -23))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3061 (base 7) to base 8.\nAnswer: -2060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/63 + 2\/7*2.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -145864 divided by -18233\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 + 45 + 2 - (9 + -2) - -16.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7\/((-35)\/24)*-795. Find the second derivative of 3769*p - 5 - 141*p**2 - b*p + 5 wrt p.\nAnswer: -282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 83 + -62. Solve 3*p = 3*z + q, 0 = p + 2 - 4 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d. Let m(y) = 34489*y + 45. Determine m(c(h)).\nAnswer: 68978*h + 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 - ((-18)\/(-2) - 1131) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 10*q**2 + 11*q + 7. Suppose 0*p - 96 = 4*p. Let a = p - -16. Is z(a) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2470*a**3 - 2099*a**3 + 5209*a**3)*(4 - 4 + 2*a).\nAnswer: 1280*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 66862455.18 - 66862073.1800207. Let u = d - 382. What is u rounded to 6 dps?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*z + 8*z - 7*z)*(0 + 1 + 1)*(z - 3*z + 5*z)*(-z**2 + 3*z**2 - 3*z**2).\nAnswer: 36*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178 = -3*c + 3*h - 8*h, 5*c + 5*h = 300. List the prime factors of c.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 750339.8 millilitres?\nAnswer: 750.3398","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22351 and 155.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 462170 in -2\/5, 4, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 81 and 1377.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6942863 micrograms to kilograms.\nAnswer: 0.0000000006942863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (2 + 15 + -24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*s = 953 + 955. Suppose 0 = 4*x - s - 282. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 6:30 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9592*f**2 - 9309*f**2 + 28212*f**2 - 3*f**3 - 9311*f**2.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -818715450701 - -22919815431763\/28. Let q = 150633363 + c. Let a = q - 19508. Find the common denominator of 63\/4 and a.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of 17*t**7\/1680 - t**6\/720 + t**5\/60 - t**2. Let x(b) be the third derivative of s(b). Is 17 a factor of x(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000732733545 rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -21*m + 19. Determine a(11).\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 11*d**2 + 6. Let i be s(11). Solve -3*z = -i*z - 9 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/7, 3, 0.170361, 5, 2\/21?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*m = 20*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-235)\/752*(-4)\/5\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of -13*z**7\/21 + 4*z**3\/3 + 3*z. Find the second derivative of h(w) wrt w.\nAnswer: -520*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 0*t - t)*(3 - 2 - 4)*(-1 + 1 - 1)*(1 - 2 - 4) - t + t + t.\nAnswer: 16*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000009130871 to seven decimal places.\nAnswer: -0.0000091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2142\/90 + -24)\/((-1)\/25)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 5*l. Suppose 2*f + b - 1170 = l, 0*f + 3*f - 1753 = -b. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -877, -935, -1005, -1081, -1157, -1227?\n\"Answer: c**3 - 12*c**2 - 29*c - 837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002909787897 rounded to 7 dps?\nAnswer: -0.000291","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -720.6428 + 5755.4?\nAnswer: 5034.7572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r. Let n be 76 + 0 + 1 + 0. Let i(u) = 4*u + 77 - n. Determine k(i(t)).\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1702 (b) -5 (c) 0 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 56511919 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from thitij. Give prob of picking 2 j.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -163739 bigger than -163716?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 + 1 + f + f**3 + 3*f**2 + f. Let y(x) = x**3 + 5*x**2 + 5*x + 2. Let s(t) = -5*o(t) + 2*y(t). Differentiate s(a) wrt a.\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ou when two letters picked without replacement from {h: 1, n: 5, c: 1, o: 1, f: 1, u: 3}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9758 = 3*g + p, 1650 + 11359 = 4*g + p. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 AM and 7:30 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-10)\/105*-7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 31*l**4 - 25*l**4 + 33*l**3 + 12 + 60*l + 6*l**3 - 15*l**5 + 93*l**2 - 27*l**4 = 0?\nAnswer: -1, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - 16275\/(-341) - 30?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6024.686 rounded to the nearest one hundred?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4\/5, -1\/5, 0.4, -3, 11.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37\/51 - -1\/17. Let o = 109\/660 - -1\/60. Let q = -0.11 + 3.11. Sort q, o, -1, i in descending order.\nAnswer: q, o, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -6. Suppose -5 - 1 = c*n. Is 250\/8 + n\/12 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 5953*y - 33 + 34.\nAnswer: 5953*y - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 22 - 7 = 0. Suppose a - 2*u = 7, -4*u + 0*u - 23 = -w*a. Suppose -84 + 0 = -a*h. Is 21 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 189 - 172. Solve -15*c - 2 = -i*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((((-308)\/33)\/14)\/6*0)\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -70*b + 5 - 9 - 15. Is w(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -0.01\nAnswer: 0.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 6) + 20 - (-24)\/(24\/8).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*s - 286179 - 126849 = -40*s. Which is smaller: 5365 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 5*z - 46, s - 2*z = -6*z + 6. What is the smallest common multiple of s and 46?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -0.5 (b) -7 (c) 0.16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 d when two letters picked without replacement from {l: 2, v: 1, y: 10, d: 1}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6636 (base 7) in base 12?\nAnswer: 1463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 (base 6) in base 4?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 13*m**5 - 38307*m**4 - 11957*m**3 + 498147*m**2 - 306440*m - 141456 = 0. Calculate m.\nAnswer: -4, -4\/13, 1, 3, 2947","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 202302 (base 4) to base 5\nAnswer: 32401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/((-125)\/10)*5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**3 - 4 + 4)*(2*k - 2*k - k) + 4*k**4 - k**4 - k**4 - k**4 + 4*k**4 - 5*k**4 + 7*k**2 - 2*k**4 - 7*k**2 + (-3*k + 5*k - k)*(0*k**3 - 3*k**3 + 2*k**3).\nAnswer: -2*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 11*w**2 - 19*w**2 - 55 + 34 + 12*w**2 - 20*w. What is y(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1150\/7 + 6\/(-21). What is the highest common divisor of m and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -f + 3*f + 4*y, 5*y - 1 = -f. Suppose -3*w + f = -w. Suppose -5*t - 2*k = -w*t, 3*t - 5 = -2*k. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*p = 44 - 140 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -6*j + 6. Let n be s(5). Let t be 3 + (18\/n - 6\/(-8)). Suppose 16 - 4 = 3*d, 3*v - d + 4 = 0. Solve v = w + t for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 59*j**2*z**3 + 2646*j*z**3 + 9272418*z**3 wrt j.\nAnswer: 118*j*z**3 + 2646*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*n, -n + 26 = 4*f - 2*f. Suppose -f*p + 10*p = -135. Suppose -r = -g + p, -g - 2*g = r - 81. Calculate the least common multiple of 3 and g.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1495.4074 to 0 decimal places.\nAnswer: 1495","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -9141, -73071, -246545, -584319, -1141149?\n\"Answer: -9126*r**3 - 16*r**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15382 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**(-1\/4)*v*v*v**1*v*v\/v**4*v**(-6\/7)*(v\/(v\/v**8*v*v))\/v**(-6)*(v*v**(-1\/3))**(-5) assuming v is positive.\nAnswer: v**(803\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k**(8\/5))**(-28)*(((k**34\/k*k)\/k)\/k)\/(k**11\/k))**(-19) assuming k is positive.\nAnswer: k**(7486\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (63\/108)\/(483\/(-621)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(3*(sqrt(1008) + 0) + -3*(2 + sqrt(1008)) + 0))**2 + -3.\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 65 - -43. Suppose a + 36 = 3*m. Is m a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 + j + 4. Let q(g) = 3 + g + 10 - 18 + g**2 + 10. Let d be 2 - 1 - (5 - 1). Determine d*q(p) + 4*u(p).\nAnswer: p**2 + p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -54*g**3 - 68*g**3 + 35*g**3 - 8*g**3 - 3 - 14793*g**4 + g + 14795*g**4 to p + k*g**4 + z*g**3 + u*g + s*g**2 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 3*c - 12, -7 = -4*c + 2*i - 7*i. Suppose -c = s + 2*s. Let f(o) = -o**2 - 6*o + 1. Let n be f(-6). What is the closest to 1 in 2, s, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-168)\/513 + (-6)\/(-27)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7740 and 3722805?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 r when two letters picked without replacement from hhyryiiiivhv.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - 10) + (-9 - -11).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.067 or 65822?\nAnswer: 65822","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -8*t**5 + 12*t**4 - 4*t**2 = 0.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide (4 - 2) + (1 - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 69*t + 130*t = 64*t + 43, -y - t = -6*y - 68 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1003510 + 30040?\nAnswer: -533430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7256315537 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((sqrt(504)*1*6)\/(sqrt(36)\/sqrt(3)*4))\/(sqrt(24)\/sqrt(100) - (sqrt(6) - sqrt(726)*-1)))**2.\nAnswer: 75*sqrt(7)\/59 + 349675\/13924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than 520?\nAnswer: 518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 31 - -5 - 28 - (7 + 0)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3410*s = 3*f - 3463*s + 486, 2*f - 5*s + 51 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 444 is divided by 202.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 + 8*t - 72. Calculate b(-14).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -442325\/19 - -23281. Find r such that c*r - 2\/19*r**4 - 14\/19*r**3 - 18\/19*r**2 + 20\/19 = 0.\nAnswer: -5, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -14, 2, 1\/13, 0.7, 0.5, -17, -3\/7?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1960 and 24375.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 0 (c) -1\/3 (d) 199.91 (e) -4 (f) -2\/7 (g) 31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-10)\/12*8)\/(4\/(-12)). What is the remainder when 17 is divided by (y\/6)\/((-5)\/(105\/(-14)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 + 0\/(-4*3\/6). Suppose y - 272 = -4*y - t*p, 0 = 3*y + 5*p - 171. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of -b**4\/4 + b. Let h(d) be the second derivative of -d**3\/3 + d. Calculate h(n(p)).\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 + -19. What is the biggest value in -1, -6, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18540 and 6235002.\nAnswer: 1854","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -5*t + 9*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 21*o**2 + 49*o - 62. What is f(23)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 209 and 504652.\nAnswer: 105472268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/2*(-63)\/420*10. Suppose -5*v + 3*z + 16 = 0, -z - 3*z = -2*v - 2. Sort n, v, 150.\nAnswer: n, v, 150","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 + 4 = 5*z. What is the second derivative of 2*g**5 - 4*g**5 - 3*g + 4*g**z - 5*g**5 wrt g?\nAnswer: -60*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 + 23 + 40*h**2 - 39*h**2 - 6 in the form m*h**2 + z + n*h and give z.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54 and 216?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -7830000 to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57574?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 + 15*h + 41. Let k be j(17). Calculate the highest common factor of 154 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25562 (base 7) to base 5\nAnswer: 204211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of -5*c**2\/2 + 2003. Let p(r) = 122*r**2 - r. Calculate p(q(i)).\nAnswer: 3050*i**2 + 5*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (40\/(-50))\/(4\/(-10)) - -98.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3262 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3549 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w = 7*w. Suppose 4*u = -w*u + 276. What is the remainder when u is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -19*m - 11. Let d be t(-8). Let v = 8483 + -8389. Calculate the highest common divisor of d and v.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67605193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 460*s - 472*s - 48 = 0. Let d(q) = -q - 11. Let w(t) = 2. Let a(n) = -2*d(n) - 11*w(n). What is a(s)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*a - 340 = 11*a - 29*a - 1931 for a.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3095 = 9*a - 127. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/25)*y)\/(y**(-8)\/y))\/(y**6*y**(-11)) assuming y is positive.\nAnswer: y**(376\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 171384 * -41.\nAnswer: -7026744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = 5*l + 2*f, -27 = 2*l - 4*f + f. Let v = l + 13. Let o be 1\/(-1) + (-22)\/(-16). Which is the closest to 1\/4? (a) o (b) v (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148*i**2 + 0 + 0 + 141*i**2.\nAnswer: 289*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-134)\/(-12)*6\/1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -179, -364, -551, -740?\n\"Answer: -x**2 - 182*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 255 (c) 14 (d) 0.03 (e) -0.15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/2)\/(4\/(-8)). Let o(n) = 44*n**3 + n**2 - 4*n. List the prime factors of o(l).\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of 0*q - 4\/3*q**3 - 10 + 1\/24*q**4 + 0*q**2. Solve f(m) = 0.\nAnswer: 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -2*l**3\/3 + 2086. Let a(o) = 2339*o**2. What is w(a(s))?\nAnswer: -10941842*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 1.002997 centimeters?\nAnswer: 0.00001002997","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 301275?\nAnswer: 3, 5, 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/3 + 34\/(-6). Let h(m) = -2*m - 8. Let z be h(r). Let n(v) = -v + 4. Let g be n(z). Let f(i) = i**2 - i - 3. Calculate f(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 7*y**3 + 5*y**2 - 45*y - 90. Let n(d) = -4*d**3 - 3*d**2 + 23*d + 46. Determine 5*n(v) + 3*q(v).\nAnswer: v**3 - 20*v - 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 478*v + 11 - 9 + 479*v - 186*v**3.\nAnswer: -186*v**3 + v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -268 less than or equal to -42283\/157?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-15) + 12\/(-105)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 465225487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-9*7\/(-42))\/(7\/2)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -9, -26, -92 in increasing order.\nAnswer: -92, -26, -9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -2*s**4 + 7295084*s**3 + 14590176*s**2 = 0?\nAnswer: -2, 0, 3647544","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 2 + 5 - (69 + -4 + -60) - -45.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 - -17. Let d = -20 + 21. Which is the second biggest value? (a) 0.02 (b) d (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.25366 and -4.\nAnswer: -3.74634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 78 and 16?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2456 or 2467?\nAnswer: 2456","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 743 a factor of 9767153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.81103ng in tonnes?\nAnswer: 0.00000000000007781103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26831?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-9 - (5 + 7 - 2))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 16515 + 21?\nAnswer: 16536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.4 and 14928050.\nAnswer: 35827320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -165, -656, -1475, -2622, -4097?\n\"Answer: -164*m**2 + m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-116)\/(-870)*(-1 - 9)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 + 36 = 12*i. Suppose 6*a - 8*a = -i. Solve 0*m - m + 2 = 0, -d + a*m - 11 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of 7*u**4\/6 + u**2 - 6*u. What is the derivative of v(g) wrt g?\nAnswer: 28*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 124563\/20 + -6232. Find the common denominator of 0 - 2\/((-8)\/(-66)) and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -752 + 8264\/11. Let k = -149813\/1480824 + -7\/9432. Find the common denominator of u and k.\nAnswer: 1727","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 59\/2, 2\/11, 11, 3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 297515800?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -35 + -32?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (18 + -19)\/((-1)\/16). Let s be 3 - 2 - 172\/(u\/(-4)). Calculate the remainder when 18 is divided by 520\/s + (-4)\/(-22).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wlwg when four letters picked without replacement from ywlwpbg.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*h**3 + 1148\/3*h**2 + 0 + 0*h.\nAnswer: -2*h**2*(h - 574)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/6 - 17\/(-33). Suppose 4*v - 5 = 5*q, -4*v + 4*q + 2 = 2*q. Factor l*s**2 + 4\/11*s + v.\nAnswer: 2*s*(s + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4879 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -11768.\nAnswer: 23536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.46 + 3.16. Put w, -1\/5, -5, 0.5 in descending order.\nAnswer: 0.5, -1\/5, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/248 and (-1 - (-22)\/(-30))\/(12\/(-165)).\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6400 and 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 8 - 2 = -2*a, 3*a - 5*m = -11 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -87*(-9)\/27 - (-7 - 0). Solve -u = 11*u - l for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 + -103 - ((-2 - (2 + -3)) + -18)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 5. Suppose -3*b - 9 = -4*w + w, 0 = -5*b + 2*w - 12. What is the second smallest value in b, z, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 566*b - 1114*b + 555*b.\nAnswer: 7*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 254116?\nAnswer: 2, 17, 37, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + i + 308 = 299, p = -2*i - 6. Let d(f) be the first derivative of 0*f + 0*f**3 + 3\/2*f**p + f**2 - 11. What is the second derivative of d(g) wrt g?\nAnswer: 36*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7459 = -6*n - 433. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 - -21. Let r(g) = 1574472*g. Let o be r(m). Suppose -4*a + 1905528 = -o. Round a to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2734566345 to the nearest integer?\nAnswer: 1398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jhhjjjjhhjjhhhhhhhh. What is prob of sequence hjjj?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -3*t - 26 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 12*w**2 + 30*w - 90. What is g(-8)?\nAnswer: 438","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.682311 litres?\nAnswer: 682.311","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p**2 + 7*p - 8. Let r(m) = -2*m**2 + 8*m - 9. Let z(u) = 6*n(u) - 5*r(u). Determine z(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3288, -9332, -18180, -29850, -44360, -61728, -81972?\nAnswer: -105110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 84272, 168737, 253202?\nAnswer: 337667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 3*v + 13 = 0, 3*v + 56 = a + 63 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(504)*2)\/(sqrt(242)*-2 + sqrt(2)))**2*5.\nAnswer: 480\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 1. Let k = -600 - -851. Suppose 629 + k = -5*h. Let z(j) = -4*j - 44. Let p(v) = h*g(v) - 4*z(v). Let a(q) = 2*q. Calculate a(p(d)).\nAnswer: 32*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 262 - 256. What is the closest to u in 0, -4, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(-3 + 0 + 1). Let z be 1\/g - (-15)\/(-12). Let j = 302 + -304. Which is the closest to -2? (a) z (b) j (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 481 + 33 = -4*u, -3*u - 397 = -2*j. Let f = u - -131. Which is the second smallest value? (a) -4 (b) f (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 39 + -54 + 42?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-10)\/r**(-2\/15)*(r**(-1\/7)*r)\/r*((r*r**28*r)\/r)\/r assuming r is positive.\nAnswer: r**(1889\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of 9*y**5\/20 - y**3 - 3*y**2 - y. Let b(w) = -35*w - 23 + 22 + 34*w + w**3. Give -6*b(l) + j(l).\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of -v**8\/1848 + v**7\/385 - v**6\/660 - v**5\/110 + v**4\/66 - 6*v**2. Solve y(s) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 5 = 5*n, 11*c = 13*c + 10. Suppose s + 539 = -4*r + 1676, 0 = 3*s + 9. Suppose h = n*h - r. What are the prime factors of h?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/4)\/((-2)\/(-24)). Sort -1, -5, h in ascending order.\nAnswer: h, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -15.4 (b) 12\/1643 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/17, -32075, -0.6, 3\/2?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -836.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3970674 is divided by 170.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -38, 15\/26, -0.3, 97, -2\/5, 0.02?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of 5*y**2\/2 - 90*y - 36. Let t be g(18). Solve 4*v + 2 + 6 = t for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 272?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 10 = 0, 2*x + 1 = -5*m + 30. Suppose 2*i - 7*i + 5*v + 30 = 0, 0 = -4*i - x*v + 30. Calculate the greatest common factor of 28 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + o + 3927 = h, 4*h - 5*o - 15738 = 0. Suppose -14086*c = -14079*c - 8204. Suppose 5*d + c = h. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 1184*t**2 - 582*t**2 - 607*t**2. Let z(y) = -84*y. Let q(m) = -17*m. Let o(i) = -11*q(i) + 2*z(i). Calculate o(d(n)).\nAnswer: -95*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -152*v - 36. Let s(i) = 324*i + 72. Calculate -21*m(f) - 10*s(f).\nAnswer: -48*f + 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of 7\/3*p**3 + 1 - 9\/4*p**4 + 1\/2*p**2 + 0*p. Let j(i) = -19*i - 5*i**3 + 4*i**2 + 13*i + 7*i. What is -5*j(b) + 3*t(b)?\nAnswer: -2*b**3 + b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*o - 8*o + 235 = -31*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1424 is divided by 453.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three fifths of a decade in months?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 i when two letters picked without replacement from {h: 1, l: 1, a: 2, k: 1, v: 1, i: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6340 a factor of 4077505975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 + -143. Let n = v - -317. Let f = n - 195.97. Round f to one dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83478 is divided by 345?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m + 25 = 4*m, -5*x + m = 70. Sort -0.4, x, 1, 0.5, -3\/17.\nAnswer: x, -0.4, -3\/17, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 26. Suppose 0 = -0*y + 4*y + q. Put 5, y, 2 in descending order.\nAnswer: 5, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -100000110100100011?\nAnswer: -100000110100100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3777048396 divided by -4.\nAnswer: -944262099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -125 + 222. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 281 and 2748461?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f**2 - 3*f + 2. Let u(x) = x**2 + 1. Let m(n) = -c(n) - u(n). Let s be m(-3). Put -0.05, 3, s in increasing order.\nAnswer: s, -0.05, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 2*m + 5*c + 27, -4 = 4*c for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 + 51. Let u(i) = -4*i**2 + 25*i - 1. Let f be u(5). Calculate the highest common divisor of f and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 5*o**3 - o**2 + o - 1. Let d be y(1). Solve d + 2 = 2*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 217, 212, 197, 166, 113?\n\"Answer: -h**3 + h**2 - h + 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - 1. Let s be ((-3)\/v)\/((-2)\/4). Let f = 1 + s. Let r(g) = g**2 + 3*g + 1. Calculate r(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21.9 + 21.81. Sort j, -5, -0.4, 6 in increasing order.\nAnswer: -5, -0.4, j, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -44. Let w = y - 403\/9. Factor 4\/9 - 2\/9*u**2 - w*u.\nAnswer: -2*(u - 1)*(u + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 AM and 4:26 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 7:22 AM?\nAnswer: 7:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 19069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(3\/5)*k)\/k*(k*k**(-2\/7)*k)\/k*(k\/(k*k\/((k**(-4\/9)\/k)\/k)))**(-1\/16) assuming k is positive.\nAnswer: k**(7709\/5040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**3 + 2*l**3 - 6*l**3 - 6*l**3.\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 167 + -56. Let r = -103 + q. Solve 4*d = 16 - r for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14415 less than or equal to 14412?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, v: 1, q: 1, f: 7, b: 1}. Give prob of sequence vq.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-94)\/(-30) + -3)*-3. Let l be (-103)\/101 + (-2)\/(-2). Let q = l - 160\/2121. Put p, q, 4\/7 in descending order.\nAnswer: 4\/7, q, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*g**5 - 4*g**2 - 2*g**2 - 2*g**2 wrt g.\nAnswer: 420*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkklkkklqlqk. What is prob of picking 1 q and 2 l?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**3 - 10 + 10*j**2 + 45*j**2 - 273*j - 50*j**2 - 4*j**2 to the form a*j**3 + x + o*j + u*j**2 and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-11)*r)\/((r*r\/(r\/(r*r**2))*r)\/r*r)*r**0\/(r**(-4\/7)\/r))**(2\/19) assuming r is positive.\nAnswer: r**(-188\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1372*a + 726*a + 9857 + 644*a.\nAnswer: -2*a + 9857","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**3*m))**(-18)\/(m\/m**(2\/7))**38 assuming m is positive.\nAnswer: m**(188\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1222332 - 3202?\nAnswer: 1213130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) -1 (c) 1 (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.454836976 to 4 dps.\nAnswer: -0.4548","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 75*4 + -5*(0 + 1). Let p = 388 + d. Calculate the remainder when p is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 4. Let i = 511 + -510. Sort i, t, -7.\nAnswer: -7, i, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2273.7 minus -271470?\nAnswer: 269196.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1613851 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**2 + y**2 + 2*y**2 + (-y + y - y)*(2 + 2*y - 2) + 247*y**2 + 1177 - 1177.\nAnswer: 246*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1642 + 4?\nAnswer: -163b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -2. Let n be (p - (-3)\/(-6))\/2. Let m = -6 - -6. Is n <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1714519761 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of -4*y**3\/3 + y - 490. Let u(h) = h**2 - 11*h. What is u(q(o))?\nAnswer: 64*o**2 + 88*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 566328 at most 2831638\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 (base 12) in base 15?\nAnswer: -1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 167*w + 4487. What is r(-27)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 - -28. Suppose -y - 2 = -2*u, 5*y + 0*u - 14 = o*u. Let i(z) = -4*z + 2. Let q(s) = 3*s - 2. Determine y*i(d) + 5*q(d).\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 - 6*p - 7. Let o = -1 - -6. Let u(i) = -3*i**2 - 3*i - o - i + i**2 + i**2. Calculate 5*j(y) - 7*u(y).\nAnswer: 2*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 64 - 59. Suppose 2*g + 22 = -2*s, -4*g - 50 = -3*s + 8. Sort f, g, 3, -1 in descending order.\nAnswer: f, 3, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33.37 - 22.97. Is -3 greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*k - 62*k = -q + 7, q + 5*k + 21 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2006 - 116?\nAnswer: -2123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -33831\nAnswer: 2\/33831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -453055*w = 2*d - 453060*w, -4*d = -6*d - 3*w + 32 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-256*i + 256*i - 52*i**2)*(-3 + 1 + 3) + (3 - 2*i - 3)*(3*i - 3*i + 2*i).\nAnswer: -56*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/30)\/(153\/(-85))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3856 or -291?\nAnswer: 3856","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/11)\/u**8)\/(u**(-1\/2))**(-40) assuming u is positive.\nAnswer: u**(-310\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 127 = -19*k - 61 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 55*y - 12. What are the prime factors of r(13)?\nAnswer: 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5*p - 18 = 13, -5*p - 49 = -4*z. Suppose -z*x - 72 = -60. Which is the fourth biggest value? (a) -5 (b) -1 (c) 9 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -1. Solve o = 3*f + 1, -m*f + 0*f - 3 = -3*o for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 343 is divided by 22?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 572.08191 + 0.01809. Let f = h + -572. Sort 0, f, 32 in ascending order.\nAnswer: 0, f, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1941175 + 1297120. Let f = 381555 + n. What is f rounded to the nearest ten thousand?\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2721, 10886, 24495, 43548, 68045, 97986, 133371?\n\"Answer: 2722*o**2 - o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r - 5*r = 0. Solve 4 + r = 4*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-8) + 45\/(-180).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 6, d: 3}. Give prob of picking 3 d and 1 b.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3\/8, -0.1, -3\/14, 4.\nAnswer: -3\/8, -3\/14, -0.1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 801\/468*-8 + 1*32\/(-104)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (11 - 10)\/(1\/(-9)). Which is bigger: -8 or k?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1b97cc76 - -6?\nAnswer: -1b97cc70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*185\/(-585) + -1)*-3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15552769 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 451 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 4 + -1 + 1 + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2538*m + 17768. Let o be t(7). Factor 28\/3*s - 4\/3*s**4 + 0 - 28\/3*s**3 + 4\/3*s**o.\nAnswer: -4*s*(s - 1)*(s + 1)*(s + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (227188\/(-20046))\/(2\/3)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 2511?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 911 + -902. Factor 3 - i*a + 21\/4*a**3 - 27\/4*a**2.\nAnswer: 3*(a - 2)*(a + 1)*(7*a - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*a - 57 = -2*a + 35*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/7 + 944*p**2\/7 + 220884*p\/7 - 898704\/7.\nAnswer: (p - 4)*(p + 474)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17160, -34316, -51466, -68610, -85748?\nAnswer: -102880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 769333 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 203 - 135. Let k = -68.4 + x. Let u be 4\/6 - 16\/18. Which is the third smallest value? (a) -0.5 (b) u (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 67 + -126.4. Let f = k - -59. What is the second biggest value in f, 1\/4, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 14*b**2 - 4*b + 2. Let l be i(2). Let g be ((-4)\/5)\/((-4)\/l). Solve -p = -3*p - g for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jmjjmmmmjmmmmm. Give prob of sequence jj.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/15 + 12\/(-5). Let b be (-3)\/t*(-70)\/(-15). What is the third derivative of 4*l**2 - b*l**2 + 2*l**2 + 2*l**6 wrt l?\nAnswer: 240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1598 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 351\/2*(-14)\/(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.3 + 0.41. Let d = -0.1 + y. Let t = 0 + d. What is t rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -144*d - 79. Is m(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -5. Let n(v) = 92305*v**2 - 2*v + 4. Let b be n(u). Suppose 0 = -2*r - b - 489245. What is r rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/24*1*(-40)\/20.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15591660 by -35.\nAnswer: -445476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1056 + 0.2944. Which is the fourth biggest value? (a) -0.04 (b) q (c) 0.04 (d) -3 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 163.98*-4\nAnswer: -655.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35*-1*2802\/3269.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 17*l - 12*l - 203764, -5*l = 4*n - 203769. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 1014 = -94. Let g = w - 280. Which is the nearest to -2\/25? (a) g (b) 4 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 632091?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-96)\/(-384))\/(3\/56)*(-27)\/1260*-8?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 242211491969 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2005 = -o + 2*o - 425. Does 120 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 168*p - 18 = -166*p, -3*p = 5*v - 23 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/132 and -65\/396.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 PM and 10:29 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16476 + 155*s**3 - s - 16476 to w*s**3 + q*s**2 + k*s + z and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 140 (base 5) to base 12\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149505 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 16) to base 14\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/63990 and -89\/405?\nAnswer: 63990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*f + 3*f + f**2)*(0 + 3 - 2)*(1117 - 6872 - 2586) in the form u*f**2 + a*f + o and give u.\nAnswer: -8341","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 9 = -3*h + 107, 0 = -f + 4*h - 63. Let p = f + 90. Suppose 3*g - p = -2*y, -y + 2*g - g = -10. What is the highest common divisor of 39 and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3375\/2 - 1684. Let r(j) be the first derivative of 5\/3*j**6 + 6 + 0*j + 0*j**4 + f*j**2 + 0*j**3 + 0*j**5. What is the second derivative of r(n) wrt n?\nAnswer: 200*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1008))**2*-5*-4.\nAnswer: 80640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2 + 1911*z**3 - 1917*z**3 + 4*z**2 + 11*z**2. Let i(w) = 5*w**3 - 13*w**2 - 2. Let x(v) = -4*g(v) - 5*i(v). Calculate x(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 17056593*y**2. Let c(f) = -8*f**2. Calculate c(o(u)).\nAnswer: -2327418918141192*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11036*r + 3887 = 11205*r for r.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 576, 2302, 5180, 9210, 14392, 20726?\nAnswer: 28212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2115344640 a multiple of 192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 31998427.51 rounded to the nearest one thousand?\nAnswer: 31998000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s - 8*s + 5 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*j + 267 + 417 - 252 = 0 for j.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of r**8\/84 + 4*r**7\/105 - 2*r**5\/15 - r**4\/6 - 16*r**2. Find x such that m(x) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-7))\/(95*(-15)\/(-525))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -1 + sqrt(176) + -2 + -2 + -4)**2.\nAnswer: -32*sqrt(11) + 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) - sqrt(132)*-1 - sqrt(132))*-3)\/(sqrt(48)*2).\nAnswer: -3*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 838095211 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 211381 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1950626851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 0 - 4*k**3 + k**2 - 1 + 2*k**3. Let t(f) = -7*f**3 + 6*f**2 - 24. Let l(v) = -t(v) + 6*u(v). What is l(0)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 369\/3457 or -1?\nAnswer: 369\/3457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.572558 - 4.4.\nAnswer: -3.827442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 413 a factor of 55342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 1 - 11. Let m be 2 + -1 + (q - 0). Suppose m*z - 3 = 69. What is the smallest common multiple of 12 and z?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 25*z**3 + 2*z**2 - z + 5. Let w be y(3). What is the third derivative of -10*h**3 + w*h**2 - 668*h**2 - 1 + 1 wrt h?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20629042890 + 5\nAnswer: -20629042885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 54975912?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/10)\/((22932\/130)\/63).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 41607 and 32983497?\nAnswer: 1809","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 129.10653ms?\nAnswer: 0.0021517755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201 + 574 = 31*p - 1239. Calculate the remainder when 4053 is divided by p.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/571, -1\/4, -76, -5?\nAnswer: -1\/571","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 602537 + 9?\nAnswer: 602546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 102475795 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -2\/5*q**4 - 3778\/5*q**2 - 5124\/5*q - 171\/5*q**3 + 3528\/5 = 0.\nAnswer: -42, -2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 smaller than -134?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lz when two letters picked without replacement from {l: 2, z: 7, m: 5}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t**2 + 8*t + 3. Let c be b(-6). Let u = c + -19. Solve -y = y + u for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 + f + 1. Let p(o) = -70 + 41 + 5*o**3 + 4*o**2 - 11 + 42 + 2*o. Give 4*k(r) - p(r).\nAnswer: -5*r**3 + 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -390 - -394. Let f = 4 + -2. Find the third derivative of -34*n**f + 37*n**3 + n**z - 19*n**2 - 31*n**3 wrt n.\nAnswer: 24*n + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 765543 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**4 - 233208*r**3 + 13596492816*r**2 = 0 for r.\nAnswer: 0, 116604","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-4)*o**(-3\/5)*(((o*o**(-1)*o)\/o*o)\/o)**25)\/((o\/((o**(3\/2)\/o)\/o*o))\/o**(-5))**27 assuming o is positive.\nAnswer: o**(-1521\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of 0*s + 3\/8*s**2 - 6 + 1\/6*s**3 - 1\/16*s**4. Let h(y) = 0. What is y?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -9, 5, 2.\nAnswer: -24, -9, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 62*x + 4371. Calculate v(-72).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + l + 2)*(-3224*l - 1 - 350*l - 803*l).\nAnswer: -4377*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 150606045?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3873?\nAnswer: 3, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9530.\nAnswer: 2, 5, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 424886782\/77 - 5517928. Let m = c - 570\/7. Factor m*r**2 + 2\/11*r**3 + 4\/11 + 10\/11*r.\nAnswer: 2*(r + 1)**2*(r + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(((-12)\/(-3105666))\/((-12)\/(-36))) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*i + 3437 = -36*i + 5*q, -5*i + 8545 = 3*q. List the prime factors of i.\nAnswer: 2, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 44 - 47. Let t = 1 + s. What is the closest to -1 in t, 2\/17, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*s + 25 = -29*s + 7 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 265825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -175 (base 9) to base 8.\nAnswer: -225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/11 - 225462*n**2\/11 - 6283096368*n\/11 + 4015494605000\/11.\nAnswer: -2*(n - 625)*(n + 56678)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 4*t - 12. What are the prime factors of b(6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6 - 4 - -286*(-7629)\/(-6). Suppose 0 = -i + n + 202349. What is i rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 478785927*c**6 + 151896*c**2 - 230*c?\nAnswer: 57454311240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20046 and 63993.\nAnswer: 1663818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 726*y - i - 22 = 735*y, 0 = 5*y - 5*i + 40 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 33 = -162. Let g = -52 + k. List the prime factors of g.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 62992379?\nAnswer: 1\/62992379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.256 + 199.744. Let o = 195 - p. What is the biggest value in o, 2\/5, -7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15138147?\nAnswer: 3, 5046049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**(4\/3)*c**(-21)*c*c*c*c**(-1\/15)*c**4*c assuming c is positive.\nAnswer: c**(-161\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8339 divided by 4.\nAnswer: -8339\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3\/112 + -251\/1008. Let x = -7 + 4. Sort l, x, 3 in increasing order.\nAnswer: x, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 12*p**3 + 43*p**2 + 33*p + 17. Let g(t) = -5*t**3 - 21*t**2 - 17*t - 9. Let a(m) = -2*d(m) - 5*g(m). Determine a(-18).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 o when three letters picked without replacement from qbbbbqbqqob?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 710768 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 226373 and 20821.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2609859, -10438656, -23486665, -41753898, -65240367?\nAnswer: -93946084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -75*(-10)\/(-60)*(-4)\/10. Suppose 3*k - 11 = -h, -2*k + 2 = -2*h - 0*k. Solve 0 = -h*o + o + n for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*j - 180219 = -3*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -n + 3*g - 12389, 0 = 4*n + 4*g - 24772. Suppose 9210 + n = 22*m. Does 10 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27111624 divided by 8?\nAnswer: -3388953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - ((13 - 6) + -12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 411241221013 - 4?\nAnswer: 411241221004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.15 and 38151.64.\nAnswer: 5722.746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**3\/8 + 921*k**2\/2 + 11031*k\/8 + 3675\/4.\nAnswer: 3*(k + 1)*(k + 2)*(k + 1225)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/5*298\/(-298)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110001100110100 - -101100001010?\nAnswer: 10110111000111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.784 - 1.7840033. Round k to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 15 = -4*b + 19, -2*a + 101 = -3*b. Suppose -5*x + 1 - a = 0. Let l = 15 + x. Is l a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 415335687?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x + 5. Let w be (-2)\/(-4) + 39\/6. Let o = w + -7. Let q be p(o). Solve v + q = -0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (43 - (15 + 8)) + -4.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 22 = s, -4*k + 24 = 2*s - s. Suppose -4*d = -2*i - 42, 2*d + 28 = -2*i - s. Let y be 45\/i*-1*3. Solve -5*n = 2*f + 1, 3*f = 4*f - 2*n + y for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -s**4 - 3881*s**3 + 25*s**2 + 63*s - 7057 wrt s.\nAnswer: -12*s**2 - 23286*s + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 1:40 AM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1054728 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 142 + -45. Let j = m - -27. Is j a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 11*c + 12. Determine f(-11).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 37603947 to the power of 1\/2, to the nearest integer?\nAnswer: 6132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q = 2*q + 3760. Is q a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 5, 1, -51, -5, -20, -4 in increasing order.\nAnswer: -51, -20, -15, -5, -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 37259 a multiple of 258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*o - 1 + 15*o**4 + 46541*o**3 + 3*o - 46533*o**3 - 3*o**2 to the form z*o**3 + y*o**4 + g + u*o + d*o**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of -f**4\/4 - 212*f**3 + 347*f**2 + 3*f - 2409. What is the second derivative of x(l) wrt l?\nAnswer: -6*l - 1272","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 330*m - 7 + 1 + 3*m**3 - 332*m to v*m + n*m**3 + c*m**2 + u and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 0*j - 3*j - 2 = 0, 5*h + 2*j = 2. Suppose 0 = -5*f + 3*i + 210, -f + i + 55 = 3*i. Let s = -42 + f. Which is smaller: s or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 15634491083 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -168030 - 12395*d + 168030.\nAnswer: -12395*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**3 - 57*z + 56*z - 2*z**2 + 8*z**2 to the form b + m*z**2 + w*z + a*z**3 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/4*(-43)\/(387\/(-90))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**5\/9 + 824*b**4\/9 + 9338*b**3 - 19044*b**2.\nAnswer: 2*b**2*(b - 2)*(b + 207)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -43 + 43. Solve -4*q = -q, -3*u + q - 12 = x for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-4))\/((222\/792)\/37).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7396151, 7396149, 7396145, 7396139?\nAnswer: 7396131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bzzzn. What is prob of picking 2 z?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4 = u, 5*u - 3*c = -8*c + 20. Suppose 0 = 3*g + z - 3*z - 565, u*z - 398 = -2*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of -1\/12*v**4 + 0 - 1\/60*v**6 + 0*v + 0*v**5 - 55*v**2 - 2*v**3. What is the first derivative of w(p) wrt p?\nAnswer: -6*p**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -541 by -25.\nAnswer: 541\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 645727, 2582826, 5811323, 10331218, 16142511, 23245202, 31639291?\n\"Answer: 645699*n**2 + 2*n + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 3*sqrt(117)*-2 + (sqrt(1573)*1 - (sqrt(65)*-4)\/sqrt(5)).\nAnswer: -3*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**4\/4 - 219*a**3\/4 - 13*a**2\/4 + 2835*a\/4 + 657 = 0 for a.\nAnswer: -3, -1, 4, 219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/33 and -6 + 114\/18 + 34\/224.\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 - 8*w - 5. Let k be d(-7). Solve x - 1 = -k for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1639321, -3, 0, -14 in decreasing order.\nAnswer: 0, -3, -14, -1639321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 997 divide 1011955?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 - 0.2. Let h = -7525 + 7517. Let s = -7 + 7.5. Sort s, h, 3, o.\nAnswer: h, o, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -11881\/7472?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 6 = 2. What is the tens digit of (1 - -2)*3 + r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u**2 + 0*u**2 - 68826 + 68819 + (5*u - 11*u + 10*u)*(4 + u - 4) in the form x*u + i + t*u**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 768 and 0.3.\nAnswer: 768.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1219471271.\nAnswer: 37, 43, 131, 5851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 29381, 29397, 29431, 29489, 29577, 29701, 29867?\n\"Answer: k**3 + 3*k**2 + 29377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 2*u - 3*u)*(-3 + u + 3) + 1 + 1 + 2*u**2 - 5*u**2.\nAnswer: -2*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 216315816 to the power of 1\/2, to the nearest integer?\nAnswer: 14708","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 29673 times 495?\nAnswer: 14688135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(72))**2 + (sqrt(98) + 1)**2 + -1 + 0 + 4*-5*sqrt(2).\nAnswer: -6*sqrt(2) + 458","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2373 (base 13) to base 2\nAnswer: -1001110000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 18) + (-3 - 0) + -4 - 4?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.28 + -0.22. Let g = -0.5 - u. Let z = 2 + -1.7. Which is the biggest value? (a) z (b) -5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 + -20 + ((7 - -1) + -7 - (47 - -2))\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2\/13, -6, -4, -3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 5*s + 15 = 0, -9 = 2*t + 5*s + 1. Let j(d) = -7*d**2 - 2*d - 2. Let z(c) = -c**2. Calculate t*z(l) + j(l).\nAnswer: -2*l**2 - 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1691784506?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + 17*z + 19. Let x be l(-16). Suppose -b - x*b = j - 72, 4*b = 4*j - 228. Calculate the greatest common divisor of 24 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 greater than or equal to 3\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/(-441) - (19 + (-23503)\/399)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.23 - 0.13. Which is the nearest to m? (a) 2\/5 (b) -0.4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3*i = 0, -2*i + 1 = -2*d + 5. Suppose 4*x + d*x = 21. Solve -x*z - n + 8 = 0, z + 4*z - n = 24 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26405, -26403, -26401?\nAnswer: -26399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -10990 to the nearest 100.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 11. Suppose 3*g = -f + 2*g - 2, 5*g = -u*f - 12. Suppose 0*d = -f*d + 42. Is 7 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.4956 to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n**3 - 3*n**3 - 2*n**3 + 12*n**3.\nAnswer: 10*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1270 - 2540 + 1261 - 304*x**2)*(0*x - 4*x + 3*x).\nAnswer: 304*x**3 + 9*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -8*h - 7. Suppose 4*o + h*o = o. Let z(j) = -4*j + 223. Is z(o) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a\/(a*((a*a**(-3))\/a)\/a)))\/(a*a\/(a*(((a\/(a\/a**(-9)*a*a))\/a)\/a)\/a)))\/(((a*a**(-24)\/a)\/a)\/a**11) assuming a is positive.\nAnswer: a**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + 15*d**2 + 26*d + 3. Suppose -2*y - 4*l = 10, 14 = 2*y - 2*l + 48. Let s be h(y). Solve q - 10 = s*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*b = 39*b - 9184. Suppose -2*g - 1124 = -2*y, b = -12*y + 14*y + 4*g. List the prime factors of y.\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 5 + 5. Suppose t + 1 = c. Let z = -8 - -28. Solve 4*l - 1 = -3*q, -5*q - t - z = l for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/86753 or 1?\nAnswer: -1\/86753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 9531, -4, -2 in ascending order.\nAnswer: -4, -2, 5, 9531","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 128445426 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of -6*y**3 + 10. Let g(q) = -2*q. What is j(g(h))?\nAnswer: -72*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 10:10 PM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -572 + 1143 - 8*i - 588 to the form j + r*i and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/2)\/(16254\/3252 - 5). Let v = -187 - o. What are the prime factors of v?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/3)\/((-37)\/((-1021977)\/(-2079)))?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 19*j + 14 - 3 - 21*j + 13. Let d be i(11). Suppose -x = -2*m + 393, 3*x + d*x + 572 = 3*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*z - 4*z + 2*z + (-z - 3*z + 2*z)*(-1 - 1 + 1))*((-z + 0*z + 0*z)*(-3 - 4 + 4) + 0*z - 2*z - 2*z) to the form t*z**2 + y*z + i and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -588*r - 179*r - 11505 = 0 for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of 35\/4*c**4 + 55\/3*c**3 + c**5 - 57 + 25\/2*c**2 + 0*c. Factor f(t).\nAnswer: 5*t*(t + 1)**2*(t + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -4*h**2. Let t(k) = k**2 - 14*k + 2. Suppose 2*d + 6 = 34. Let b be t(d). Let y(r) = -b*r + r - 2*r. Calculate y(o(p)).\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1343 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2583 + -2435. Calculate the remainder when 1034 is divided by w.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (16\/72 - (-50)\/18) + 0. Suppose o*t + r - 5 = -t, 0 = 5*t + 5*r - 25. Suppose 7*b - 19 - 800 = t. Is 27 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 58371*t + 149. What is z(0)?\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/9)\/(4\/(-6)). Let k = -0.7 - -3.7. Let t = 0.144 + -0.544. What is the smallest value in b, t, k?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-3) - (26 - 2160\/81)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-273)\/9)\/(4564\/(-978))\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 258 + 2247?\nAnswer: 249f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.490482 hours in nanoseconds?\nAnswer: 1765735200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1587 times 104668\nAnswer: 166108116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 840*i. Let u(s) = -5*s**2. What is l(u(r))?\nAnswer: -4200*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 83121207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 6}. Give prob of picking 3 p.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 3*r - r = 14, -5*s + 31 = 3*r. Let c = s + 6. Calculate the remainder when c is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 19*v**2 + 46*v - 13. Calculate r(-16).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**3\/4 + 3*d\/4 + 1\/2 = 0. What is d?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 115 = -7*a + 4*v, -4*a + v = -511. Suppose 2*d + 0*d = g + 20, 0 = 5*g - d + a. What is the units digit of ((-65)\/g)\/(2\/40)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 10*j**2 + 2*j + 5. Let q(k) = k**2 - k. Let o(n) = a(n) - 3*q(n). Let f(b) = 20*b**2 + 14*b + 14. Determine 5*f(w) - 14*o(w).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -17*h + 16. Let y be v(7). Let s = y - -163. Calculate the highest common divisor of s and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - 7*z + 7. Let v(t) = t**2 - 3*t - 3. Let q be v(-2). Suppose -q*k - 10 = -9*k. Let f be s(k). Put f, -4, 6 in ascending order.\nAnswer: -4, f, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 94892?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16218 and 198?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(112)*2*-1)\/(-1*sqrt(36) - sqrt(4)*-2*-1))**2.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*(((z\/z**(-2\/27)*z)\/z*z)\/z)\/z)\/z*z\/z**(8\/3) assuming z is positive.\nAnswer: z**(-16\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 630158.\nAnswer: 2, 163, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.01 (b) 1.4 (c) 2\/5 (d) 4 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {i: 6, k: 7}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 3\/31069?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = 5*u + 5, -8 + 10 = -d - 2*u for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 70*c. Let k(b) = -2*b**2 + 2*b**2 - 2*b**2. Determine u(k(v)).\nAnswer: -140*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1846018 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -363501061.\nAnswer: -363501055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1056 is divided by 272.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10 and -16.46?\nAnswer: -164.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2908 divided by 9411\nAnswer: -2908\/9411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -6*f + 259. Suppose -5 = 2*w - 3, 3*w = 5*z - f. Solve g - 3 = 2*r, 0*g - g = -4*r - z for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354474 (base 9) in base 13?\nAnswer: 760b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4250369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - 2*r - 5. Let y = 11 - 3. Suppose -u = 2*v - 6, -2*v = -y*u + 3*u - 30. What is the tens digit of a(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2 - 4)*(3*k - k + 4*k) + 4*k - k - 7*k.\nAnswer: 14*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 times -0.5?\nAnswer: 17.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -247 + 485. Calculate the highest common factor of j and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1833*w**5 - 2*w**3 + 6316*w**2.\nAnswer: 109980*w**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*n + 75*n - 145*n.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -1\/4, 7, -2, 11 in decreasing order.\nAnswer: 17, 11, 7, -1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -139*s + 1313 - 201 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132)*4*-1 - 3*sqrt(132)*-6)\/(-1*(sqrt(108) - sqrt(108)*-3)*-6))**2.\nAnswer: 539\/1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/2)\/((-2)\/8). Let z = 2031 + -2033. Sort -3, d, z in decreasing order.\nAnswer: z, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 220870345?\nAnswer: 5, 19, 53, 43867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-6))**(-39)*z*z**(-1\/3)*z*z**(2\/19)\/z)**(-50) assuming z is positive.\nAnswer: z**(775850\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 144 and 504?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 74 + -72. Suppose -2*r = -s*k + 13 + 9, 3*r = -k - 1. What is the closest to -1\/4 in 5, -5, k?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*(d*(d**(2\/3)*d)\/d*d*d*d)\/d)*d*d**(-8\/3))\/(d**5\/d**(-4\/5)))\/((d**(-2\/5)\/d)**24\/((d\/(d*d**4)*d*d)\/((d\/d**8)\/d*d))) assuming d is positive.\nAnswer: d**(412\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2868 - -2937. Solve -y = 2*q - 63 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/441 and 18\/22732619.\nAnswer: 204593571","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21003965?\nAnswer: 5, 1187, 3539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + 27 + 18 + -35?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(26)*1)\/(sqrt(12)\/(sqrt(18)\/sqrt(3))) - (5*(sqrt(1872) - 2*sqrt(1872) - sqrt(1872)) - -2*(1 + sqrt(1872)))) + 2.\nAnswer: 91*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) + (sqrt(70) - (sqrt(70) + sqrt(70) + -1*1*sqrt(70) + sqrt(70))))\/(sqrt(112)\/sqrt(4)))\/(6*(-1*sqrt(15)*1)\/sqrt(3))*-2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -72704 + 2?\nAnswer: -72702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 9) in base 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*n, -8021 + 957 = -q + n. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 288668 (base 10) to base 16\nAnswer: 4679c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 3596\/52 - 46\/299?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 1. Let q(o) = o**2 + 3*o + 3. Let w be q(m). Is 4 a factor of (2 - 5) + (w - -8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 0, -14, 23, 5 in decreasing order.\nAnswer: 23, 5, 4, 0, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gddgpzqsqsdpdg. What is prob of sequence qdzq?\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 13754?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*z**4 - 11*z**3 - 3*z**2 + 11*z - 4.\nAnswer: (z - 1)**2*(z + 1)*(7*z - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 7:35 AM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 - 2)*(-3 + 1 + 0)*(-3 + 1 + 3)*(-50047*r**2 - 210019 + 210019) as h*r + j*r**2 + z and give j.\nAnswer: 100094","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 - -38 - (6 - 12)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.03596 or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 - 4*v**2 + 6*v + 4. Does 34 divide a(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/22833515 and -24\/1225213?\nAnswer: 251168665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) 0.2 (b) 5 (c) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(28)\/sqrt(4) - sqrt(7))*5*-6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -6*h**2 + 0*h**2 + h**3 - 6*h**2 - 2*h**2 + 5. Let c be d(14). Determine t, given that 0*t**2 + 0*t - 3*t**3 - 3\/2*t**c + 0 - 9\/2*t**4 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75 + -58 + 80 + 42.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22 - -70. Calculate the remainder when a is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + 97*o**2 - 96*o + 191. Determine h(-98).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3898519 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c5894 (base 14) in base 16?\nAnswer: f79da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 6, m: 13}. What is prob of sequence mmmm?\nAnswer: 715\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 188 from 2.\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 162 + 21 = -3*x, 3*s - 211 = -4*x. Suppose 63*q + 24 = s*q. Calculate the greatest common divisor of 132 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 725, 471, 153, -229, -675, -1185?\nAnswer: -1759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 5. Let q(l) = 2 - u - 8 + 3*l. What is the least common multiple of q(6) and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48357*v**3 - 48323*v**3 + 96694*v**3.\nAnswer: 14*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6 - -5)*(4 + (-144)\/40). Which is the nearest to q? (a) -1\/8 (b) 0.4 (c) 162\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + v + 33 = 6*k, -4*v + 22 = 2*k. Let h(i) = i**2 - 9*i + 18. Let u(t) = 1. Let p(l) = h(l) - 2*u(l). What is p(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 7 + 4)*((4*n + 0*n - 2*n)*(1 - 5 + 2) + 2*n - 5*n + 2*n - 5*n - 4*n + 6*n)*(3*n**3 + 2*n**3 - 3*n**3).\nAnswer: 128*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/4)\/(((-10)\/(-12))\/(-5))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7975*y = -8035*y + 540 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -38 + 12991?\nAnswer: 12956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**3 + 3*w + 2. Let m be z(-1). Let r = 2 - m. Suppose -5*x = q - r + 16, x = 2*q - 25. Calculate the lowest common multiple of 22 and q.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8.1 and -91.\nAnswer: 737.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4227 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -4, -11\/5, 9, 4\/1349, 1\/7, -21\/8?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + (11\/(-6))\/(2\/(-4)). Which is the closest to 1\/3? (a) g (b) -6\/5 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d + 0 + 0 - 3. Suppose 2 = -x - 1. Let j(p) = -2*p + 4. Let b(l) = x*j(l) - 4*s(l). What is b(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10900161 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 4*k + 24 = -5*o, -3*o = 5*k + 7. Suppose -5*h = -16 + k. Let u(g) = 2*g - 1. Let m be u(h). Solve -5*q - m + 0 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d**3 - d**2 + 1. Let a be s(-1). Let q(m) = m - 2. Let n be q(a). List the prime factors of (-2)\/n + (-5)\/(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -40184, -40145, -40034, -39815, -39452, -38909, -38150?\n\"Answer: 6*c**3 - 3*c - 40187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-2\/21)\/z)\/z**(-2\/9))**6 assuming z is positive.\nAnswer: z**(16\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2b7 (base 12) to base 9.\nAnswer: -524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) - (0 + 1*sqrt(931))) + -5 - (-1 + sqrt(2299) + -5)**2*2.\nAnswer: -4675 + 264*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6253 - -6237) + (-2 - (-2 - -8))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1381, 2928, 4475, 6022, 7569?\nAnswer: 9116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 3. Let s be 0\/(-23) + -4*(-12)\/112. Put d, -3, s in increasing order.\nAnswer: -3, s, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a factor of 74948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 5*q - 13, 4*c - 8*q + 3*q = 2. Differentiate 4*p**c - 29*p**2 - p**3 + 29*p**2 - 2 with respect to p.\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2*o = 6, -z + o = 3*z - 33. Suppose -4*y = -48 + z. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = 4*y - 116. Suppose 62 - 17 = 5*n. Calculate the greatest common divisor of y and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.94 plus 31776511005?\nAnswer: 31776510987.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22496 is divided by 100?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 19*k**4 + 11*k**2 + 3195*k + 17370678 wrt k?\nAnswer: 76*k**3 + 22*k + 3195","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 985099 + -985098.9. Let t = 0.049 - -31.951. What is the closest to -1 in -0.1, h, t, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 12:10 AM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -11. Let f(y) be the second derivative of y**4\/12 - y**3\/3 - y**2\/2 + y. What are the prime factors of f(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, r: 1, z: 1, j: 1}. Give prob of sequence jsr.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (-252)\/(-48))\/(7\/(-14))\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8074450 and 314.\nAnswer: 1267688650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 2. Suppose 2*f = -y - 4*y + 26, n*f - 52 = -3*y. Let j(b) = b**2 + 3*b - 5. Let w be j(-6). What is the highest common divisor of f and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, s: 1, e: 4, c: 2, w: 3}. Give prob of picking 1 c, 1 s, and 1 w.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*q**3 + 3*q*z + 1422*z wrt q.\nAnswer: -12*q**2 + 3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -12555, -25109, -37663, -50217?\n\"Answer: -12554*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 + 2 + (-1467 - -1524)?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 + 2)*(-26806 + 50*k + 26804 + 44*k) to p*k + u and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-28 + 8 - 26)*(2*a - 2*a - a)*(-57 + 3*a + 57) + (5*a**2 - a**2 - 3*a**2)*(-1 + 1 - 1) to the form c*a**2 + g*a + s and give c.\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-8)*l)\/l**(-7)*(l**1)**(2\/31))\/((l*(l*l**1)\/l)**24*(l\/l**5)\/l*l*l*(l\/l**(2\/7))\/l*l) assuming l is positive.\nAnswer: l**(-9689\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32973941.\nAnswer: 7, 11, 13, 32941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 8*o**2 + 6*o - 40. Determine y(5).\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*i + 15*i - i - 2*i - 5 in the form g*i + u and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 151389 to the nearest 10000.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -3715110 smaller than -3715109?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.644805 - 0.61910703. Let h = n + -0.0257. Round h to seven decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 77889 and 52656673.\nAnswer: 3709","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in -6, 5, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kksk when four letters picked without replacement from oosossoosoksossooo.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -76*h**5\/5 - 7*h**4\/4 - 23*h**3\/6 + h**2\/2 - 5741*h + 1. Find the third derivative of p(b) wrt b.\nAnswer: -1824","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 17*p**2 - 5*p + 1. Let x(l) = 4*l**2 - l. Suppose -3*v - 4 + 25 = 0. Let k = -9 + v. Calculate k*b(q) + 9*x(q).\nAnswer: 2*q**2 + q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 4 + 3*g**2 + 12 - 2*g - 4*g**3 - g**2. Let h(z) = -z**3 + z**2 + z. Let u be (56\/(-21))\/(292\/(-657)). Let k(d) = u*h(d) - m(d). Factor k(y).\nAnswer: -2*(y - 2)**2*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**3\/9 - 400190*n**2\/9 + 6673068202*n\/3 - 2224311602 = 0 for n.\nAnswer: 1, 100047","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3365 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.16 and -12.09280632167?\nAnswer: 12.25280632167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/8)\/((3\/27)\/((-159)\/(-1431)))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 640553 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.020445 rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 329952*x**2 - 1467988*x?\nAnswer: 659904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7151, -14283, -21401, -28505, -35595, -42671, -49733?\nAnswer: -56781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-5*-3*sqrt(468)*1 + -3*(sqrt(468) + (1 + sqrt(468))*4)))**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -4\/7, -6\/11, -6, -2\/83?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1*4*6\/180*-5\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/189*-3 - (5\/(1680\/632) + -1)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 8) in base 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 997608308?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, 0, -3, 0.2 in ascending order.\nAnswer: -3, -4\/7, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4 + 690*x**3.\nAnswer: x**3*(x + 690)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40902 and 952?\nAnswer: 1145256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 29544583 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1291 - -1296. Sort -4\/9, 0.4, u, 16.\nAnswer: -4\/9, 0.4, u, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 12638 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (56448\/20)\/6*(3 - -12).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3451 is divided by 3394.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.0827 or 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-64*l**5 + 28*l**3 + 21*l**3 - 51*l**3)*(1 - 9 - 2).\nAnswer: 640*l**5 + 20*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3)*h\/h**(-3))\/(h**0\/h*h)**(41\/5) assuming h is positive.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 491 - 195. Solve 0 = -i*j + 73*j + 5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 14, 5, -3 in decreasing order.\nAnswer: 14, 5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 2, -17, 3, -1, 10.\nAnswer: -17, -6, -1, 2, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -5*k - 2*i, k + 5 = 2*k - i. Let x be (3\/2)\/((-1)\/(-2)). What is the remainder when k is divided by x + 1 - (-4 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 2*q - 45 = 0. Let d(m) = -11*m**2 + 19*m - 17. Let t(j) = -6*j**2 + 10*j - 8. Let b(k) = q*t(k) + 4*d(k). Factor b(l).\nAnswer: 2*(l - 1)*(5*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21*q**4 + 163*q**3 - q**2 + q - 38 wrt q?\nAnswer: 504*q + 978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-954)\/9*((-5 - -8) + -2). Put -5, w, -1, 22 in decreasing order.\nAnswer: 22, -1, -5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3, -6, -9, -6, 9, 42?\n\"Answer: m**3 - 6*m**2 + 8*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -7*g. Let n = -6 + 3. Let p(t) = -53667 - 3*t + 107334 - 53667. Determine n*c(d) + 5*p(d).\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1146200761 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-40 + 7*o + 40)*(-4 + 4 - o) + (-2*o + 0*o + o)*(-o - 1 + 1))*(18 - 2 + 5) to the form v*o + i*o**2 + k and give i.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**2\/5 - 57916*z\/5 - 419282882\/5 = 0. What is z?\nAnswer: -14479","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -241 - 209. Round t to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-3*sqrt(2299) + sqrt(2299))*2.\nAnswer: 154*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 985, 5, -322, -7, 3 in descending order.\nAnswer: 985, 5, 3, -4, -7, -322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -5*b + 72. Solve -2*i + 22 = b for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45 and 720.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*w + 14*w + 306. What is the first derivative of -34*h - 26 - w*h + 83 wrt h?\nAnswer: -51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*l - 2*h + 6, 66*l + 4*h = 67*l + 12 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 2:50 AM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**3\/3 - 2062*v**2\/3 + 120305*v + 1960350 = 0 for v.\nAnswer: -15, 210, 1867","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 0, -5, 9.\nAnswer: -5, 0, 3, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29.84 + 30. Let f = -5.26 + i. Let h = -10.1 - f. What is the closest to 0.1 in h, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/15)*(n*n**2)\/n*n*n)\/(n*n**8*n**11\/n) assuming n is positive.\nAnswer: n**(-223\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33*p**6 + p**5 + 41*p**3 - 28132*p**2 wrt p.\nAnswer: -3960*p**3 + 60*p**2 + 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/10*76\/(-57).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or -1381?\nAnswer: -1381","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**2 + 53*s + 97. What is the tens digit of f(-44)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1373 divided by 202.\nAnswer: 1373\/202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/470 - -6463\/235. Let o = 28 - i. Let m = -5 - -7. Put o, 0, m in ascending order.\nAnswer: 0, o, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10000110101011 (base 2) to base 15.\nAnswer: -2849","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4041 - 2?\nAnswer: -4043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 154233851 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*k + 22. Let y(d) = 3*d - 13. Let z(h) = -24*h + 105. Let r(j) = -33*y(j) - 4*z(j). Let g be r(2). Solve g*w - k = -2 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -842, -4514, -10628, -19178, -30158?\n\"Answer: n**3 - 1227*n**2 + 2*n + 382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5489 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 3*w**3\/8 + 21*w**2\/4 - 10815*w\/8 - 5427\/4 = 0.\nAnswer: -67, -1, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 49 - 899. Calculate the smallest common multiple of 8 and a.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2333252?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -13*k - 3. Let y(j) = 7*j + 1. Let a(w) = -4*c(w) - 9*y(w). Let g be (-9)\/27*(1 - 7). Calculate a(g).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39\/(-364)*4)\/(-6*(-3)\/12).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that z**3 - 1325*z**2 + 394596*z = 0.\nAnswer: 0, 452, 873","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -438, -842, -1214, -1554, -1862?\n\"Answer: 16*s**2 - 452*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -18*y + 131. Let r(s) = 7*s - 43. Determine -4*f(m) - 11*r(m).\nAnswer: -5*m - 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + 5)*(-10)\/(-25). Which is the closest to 0? (a) r (b) 3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -5*q + 10. Let m(l) = -4*l + 9. Let a(p) = -3*m(p) + 2*u(p). Let z be a(5). Let r = z - -1. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119089 greater than 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.4 and 883.54798?\nAnswer: 883.94798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 39*n**2 + 4*n. Let i(s) = s**2 - 1. Let r(b) = -6*i(b) + y(b). Is r(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -5. Let n be 4\/14 + 190\/(-420). What is the nearest to -0.1 in n, -0.2, h?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p - 2*p + p + (5*p + 19*p - p)*(3 - 5 + 6).\nAnswer: 93*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 286 - 285. What is the nearest to a in -51, -2\/7, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/1981 and -10\/4711?\nAnswer: 1333213","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2013383 is divided by 402664.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31 + 44. Suppose 3*j = x - 0*j + a, 2*x + 20 = 4*j. Let v = 2 - x. Is v a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-2))\/(5430\/(-680) + 23 + -15).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 greater than or equal to -350?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of 2*j**5\/15 - j**2. Let b(r) = 3*r**2 + r + 1. Let g(s) = -20*s**2 - 6*s - 6. Let w(t) = -6*b(t) - g(t). Calculate w(o(f)).\nAnswer: 128*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6601\/82*52\/(-91)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of -2*a**6\/15 + 58*a**5\/5 - 841*a**4\/3 - 5*a. Solve h(p) = 0.\nAnswer: 0, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13665 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 89161486?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + 255\/(9\/3). Suppose d - 4*l - c = 0, -2*d + 4*d - 153 = -5*l. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 472648 and 4961?\nAnswer: 5199128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4924115\/3 - ((-20)\/6 - -3). Suppose i = 10*v - 1319818. Suppose 0 = d - v - 303881. Round d to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 6 - 10. Sort -6, w, 1 in ascending order.\nAnswer: -6, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8862984 > -8862987?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -520537647.2 - 188.\nAnswer: -520537835.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 - 6)*(-14*s + 12*s - 20*s) - 207*s + 43 + 2 + 208*s.\nAnswer: 199*s + 45","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-194)\/(-38) - 2\/19. Solve 0*m - 3 = 4*r - n*m, m + 11 = -5*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -984 (b) 3\/5 (c) 3 (d) -1\/5 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/x**(3\/2))*x**(-1\/6))\/(x**(-11)\/(x\/(x\/x**(9\/4)*x))) assuming x is positive.\nAnswer: x**(163\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.863*16367.\nAnswer: -46858.721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.01 + 3. Let u = l - 0.39. Suppose 5*x = 7*x - 2. What is the closest to x in -0.1, u, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19.96969 + 20.3676752. Let x = k - 0.398. What is x rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 - 5*w + 7. Suppose 5*k - 25 = 0, -2*v - k = 4*k - 31. Suppose v*q + 7 = -4*i - 0, -3*q = -3*i + 21. What is the units digit of d(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4311 is divided by 77.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3774? (a) 0.4 (b) -5 (c) -0.02 (d) -1 (e) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -18*t. Let n(r) = -r**2 + r + 1. Let a(j) = 4*j**2 - 5*j - 1. Let m(g) = -a(g) - 5*n(g). Let x(c) be the first derivative of m(c). Give f(x(y)).\nAnswer: -36*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 361*d**5*v + 21*d**4*v**3 - 241*d*v**3 - d*v - 15*v + 3 wrt d.\nAnswer: 7220*d**3*v + 252*d**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -696 - -480. Let v be (1\/(-2))\/((-6)\/d). What is the tens digit of 2 - v*(-1)\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*z + 30 = -66*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11 - 113?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -103*m**3 + 370*m**2 - 271653*m wrt m.\nAnswer: -618*m + 740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 20 = -k. Suppose -k*y - y + 36 = 0. Is -1*-1*753\/y*2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from jwffwwawafww.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 7) in base 3?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -13*k + 3. Let n(c) = -6*c + 1. Give -15*n(l) + 6*s(l).\nAnswer: 12*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 4*s**5\/3 + 400*s**4\/3 - 3136*s**3 - 43432*s**2\/3 - 13252*s\/3 + 21896 = 0.\nAnswer: -119, -3, -2, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 3*w - 8 = -c, 949*w - 945*w + 2*c + 2 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -12*w. Let m be (2\/(-4))\/((-2)\/100*1). Let f(p) = 10*p + 9*p - m*p + 5*p. Give c(f(d)).\nAnswer: 12*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9279 + 2817 = -124*s + 12634. What is the remainder when 268 is divided by s?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5768 + -5773. Let v(m) = 2*m + 4. Let t be v(-4). Which is the second biggest value? (a) 1.5 (b) t (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57711?\nAnswer: 3, 19237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2617\/258 - 130\/43. What is the common denominator of b and ((-3)\/33)\/(3\/(-41))?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(108) + 4)**2 - sqrt(108)) + sqrt(108) + sqrt(108) - (sqrt(108) - ((sqrt(108) + -4 + 3)**2 - sqrt(108)) - sqrt(108)).\nAnswer: -387 - 174*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -40845362*k**4 + 1792*k**2 + 6957 wrt k.\nAnswer: -980288688*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-20)\/(800\/30).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 278899256 by 4.\nAnswer: 69724814","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 215193 to the power of 1\/2, to the nearest integer?\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - 1. Let i(o) = -12*o**3 - 2*o - 4. Give 5*g(r) - i(r).\nAnswer: 7*r**3 + 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -168885 - 1?\nAnswer: -168886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 10*c**2 + 9*c - 4. Let p be j(9). Let w = 0 - p. Let a(m) = 3*m**2 - m. Let n be a(1). Solve 0 = 2*s + 2*v - w, 2*v - 2 = 2*s - n*v for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 1 = -3*i, 29 = -2*q - 44*i + 35*i for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 286092.9931 - 286107. Let i = -14 - h. Round i to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x + 18270 = 11*x. Let t = x + -197. What are the prime factors of t?\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 559860?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -49 + -a0?\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 3670 to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(((h**(-13)*h)\/h)\/h)*h\/(h*h**(-2)))**(-2) assuming h is positive.\nAnswer: h**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123 = -3*a - t, -a + 4*t - 92 = -3*a. Suppose 0*h + h - a = 0. Suppose -p + 4*o - h = -3*p, 4*p - 4*o = 140. List the prime factors of p.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 2*z - 20, -z - 2*n - 1 + 3 = 0. Let r be (-8)\/80*(-35)\/z. Let l = r - -1\/12. Is l less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 28*p**2 + p - 1. Let w(m) = m**2 - 18*m - 18. Let d be w(19). Determine h(d).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168 is divided by 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05234717375 take away 34?\nAnswer: -34.05234717375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -154 - -1080\/7. Which is the second smallest value? (a) t (b) -1\/3 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 114796, 229619, 344434, 459241, 574040, 688831?\n\"Answer: -4*n**2 + 114835*n - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000035877 rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 977072585 + -977072569.00000164. Let d = 5457 + -5441. Let k = d - c. Round k to seven decimal places.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 9:35 AM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 3 + 2)*(v**2 + 4*v**2 - 3*v**2) to s*v + i*v**2 + m and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16842746543 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate m**3*r**2 + 4*m**3*y + 10571629*m**3 - 5800540*m**2*r**2*y with respect to y.\nAnswer: 4*m**3 - 5800540*m**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3708 and 24?\nAnswer: 7416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 2*b + 485, 3*b + 895 = -b + 5*t. Let l = -141 - b. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 197072482 to the nearest integer?\nAnswer: 582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -219.999958 - -220. What is a rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 288 divide 17300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-8) + (-810)\/(-3240). Let f(p) be the third derivative of x + 0*p + 24*p**2 - 8\/3*p**3 - 17\/30*p**5 + 0*p**4. What is the derivative of f(g) wrt g?\nAnswer: -68*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.06 + -0.46. Let m = 1.9 + 0.1. Let r = -2425 + 2424.5. Which is the closest to -3? (a) x (b) r (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6830468?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -64 in 9670, 0.2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**5\/3 + 808*x**4\/3 - 6368*x**3\/3 + 4224*x**2.\nAnswer: -2*x**2*(x - 396)*(x - 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.1900513 - -1.19. Round l to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*y**2 - 28*y**2 + 16*y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 93306705?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1360056 (base 7) in base 14?\nAnswer: 4a72d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -4*g - 38, -89*g + 4 = -13*t - 88*g for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 4*n + 2*w, -4*n + 0*w - 4*w = -32 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 63 and 140409?\nAnswer: 982863","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 62\/13 smaller than 0.12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x = -16 + 2. Suppose 0 = -0*b + 4*b - u - 16, -3*u + 22 = 2*b. What are the prime factors of 9\/b - x\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16077647?\nAnswer: 37, 571, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f - 5. Let z(n) = -2*n - 4. Let p = 3067 + -3065. Calculate p*t(h) - 3*z(h).\nAnswer: 4*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148787 = -3083*b + 160940 - 106249 for b.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -23 - w + 10 + 12. Let b(c) be the third derivative of -c**4\/8 - 2*c**3\/3 + 16*c**2. Suppose -3*u - 1 = -10. Determine u*b(k) - 12*i(k).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/20 - ((-339)\/6 - -2). Suppose c*d - 65999 = 30877. Is d a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 339e (base 15) to base 3.\nAnswer: 120000112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4198?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 59489837189 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of 8*s**2 - 117*s + 6986. What is o(7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*3*((-6*(sqrt(66) + 3*sqrt(66) - sqrt(66)))\/(sqrt(18)\/(sqrt(15)\/sqrt(5))) + 4).\nAnswer: -54*sqrt(11) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(3\/11))\/p**8)\/(p*p*p\/(p\/(p\/((p\/(p\/p**(-11)*p))\/p)*p)*p*p)*p**(5\/2)) assuming p is positive.\nAnswer: p**(-545\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 4257.46188 minutes?\nAnswer: 0.42236725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/5 or -3\/2262623?\nAnswer: -3\/2262623","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 992*j**3 - 176*j**2 - 252*j**2 + 72*j**2 - 779*j**2 wrt j?\nAnswer: 5952","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -1\/10 (c) -2\/3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**2\/17 + 24938*n\/17 - 1302184\/17 = 0. Calculate n.\nAnswer: -12521, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 3\/2, 38\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 0*f - 5*g + 17, 5 = -5*f + 3*g. Suppose -2*q - f*x + 29 = 3*x, 5*x - 17 = 4*q. Solve 2*c = q*y + 4 - 0, 17 = -4*c - y for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9010 and 4505?\nAnswer: 9010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (23\/(-690)*15*(-3)\/(-6))\/((-1)\/60)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 2. Let h = -401 - -401.16. Let u = -0.04 - h. Is y at least u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3*a + 9 = 0, -a = 4*m - 4*a - 9. Let k be 6\/(-66 - -73 - (0 - -5)). Solve 2*s - 7 = k*d + 3*s, -5*s = -d + m for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.2 + -491.45\nAnswer: -492.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j**5 - 9273*j**4\/5 + 1996871*j**3\/5 - 536139*j**2 + 395469*j\/5 + 297648\/5 = 0. What is j?\nAnswer: -624, -1\/4, 3\/5, 1, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*d**4\/5 + 39918*d**3 + 465644*d**2\/5 + 70952*d + 88688\/5 = 0 for d.\nAnswer: -11086, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*u**4 + 2*u**2 - 4*u**2 + 2*u**4 - 20*u**3 - 13*u**2.\nAnswer: -5*u**2*(u + 1)*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 93492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.15 - -6.85. Let h = -7.2 + f. What is the closest to h in -1\/2, 5, -2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 443, -0.4, 0.3, -13\/9?\nAnswer: 443","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**2\/4 + 21879*a\/2 - 591462 = 0. Calculate a.\nAnswer: -43812, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -6*g**2 - 2*g - 166. Let x be k(-20). Let c = 3641 + x. List the prime factors of c.\nAnswer: 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -98*t**4*y + 2511*t**3*y + 15*y - 38289 wrt t?\nAnswer: -392*t**3*y + 7533*t**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-5 + 4 - -2) + 24 + 0 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -33? (a) -4 (b) 405 (c) 52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13575?\nAnswer: 3, 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/913443 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 5*s - 18, -3*a + 1687 = 2*s + 1671. Solve -o = -a*o + 18 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 - 6*z - 17. Let d be j(8). Let r be d\/((2\/(-1))\/2). Let p = 5 + r. Solve 5*h + p = 3*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-6*((1 + 1*sqrt(192) + sqrt(192))*6 + 2*(sqrt(192) - (1 + sqrt(192) + sqrt(192))*-3)))**2.\nAnswer: 1617408*sqrt(3) + 42099264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 161 - 255. Let y = i + 99.3. Round y to 0 decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express t + 4*t - 11 + 12 in the form y*t + c and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -668930.46 to the nearest 100.\nAnswer: -668900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/6)\/(12\/(-18)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19720032*i**4 + 69513224*i**2?\nAnswer: 473280768*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 10*h - 8 + 1 - 7. Let q(z) = -2*z + 3. Let t(o) = -3*m(o) - 14*q(o). Let r(s) = 12*s + 2*s - 19*s + 7*s. Calculate t(r(k)).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 51\/2 of a millimeter?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 225 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, -2\/41, -1\/22, 5, -3032 in decreasing order.\nAnswer: 5, -1\/22, -2\/41, -0.05, -3032","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 134.21 to the nearest 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 2616999156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 875110*z + 1910525 wrt z.\nAnswer: 875110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 4*r + 4)*(-1 + 3 + 2)*(-4 + 1 + 1).\nAnswer: -32*r - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -59 + 84. Suppose -2*d + s = 249. Is (-4)\/(8\/d*(0 - -1)) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 150, 317, 484, 651, 818, 985?\nAnswer: 1152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15004 divided by 535?\nAnswer: 15004\/535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69, -380, -1147, -2574, -4865, -8224?\nAnswer: -12855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -98 + 1*2\/1. Let k be 2\/(-11) + x\/(-44). Solve k*b + 6 + 3 = -3*p, -5*p + 3*b - 34 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0035686 to four decimal places.\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -15, -1328, -0.4 in descending order.\nAnswer: 0.3, -0.4, -15, -1328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 6*w - 5. Let d(i) be the second derivative of 17*i**3\/6 - 7*i**2 - i. Suppose 0 = 19*g + 223922 - 223713. Give g*x(c) + 4*d(c).\nAnswer: 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cf when two letters picked without replacement from {c: 1, f: 14}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-15))\/((-12)\/90)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 - t - 9. List the prime factors of z(-8).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnhknnnhgnkkgkgzk. Give prob of sequence khn.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1616063?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**4 + 0*f**2 + 0*f**2 + (11 - 5*f**2 - 11)*(4*f**2 - 11 + 11) - f**4 + 0 - 4 + 3.\nAnswer: -22*f**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3470\/(-5205) - (-3)\/(-4)*42\/(-27). What is k in k**2 + 0 + 0*k**3 + z*k**5 - 1\/2*k - k**4 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1422755777 by 6.\nAnswer: 1422755777\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1701*b + 1699*b - 4, 2*b + 1 = -i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 381 and 2794.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y**3 + 3*y**2 + 21*y. Let i(b) = -b**3 + b**2 + b. Determine -3*i(n) + x(n).\nAnswer: n**3 + 18*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -116 > -118?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2717031 - -4?\nAnswer: -2717026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 191184 divided by 28.\nAnswer: 6828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 PM and 5:56 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 12 = 8*h - 15. Which is the second smallest value? (a) h (b) 0.7 (c) -179\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/(77\/(-2)))\/((-1)\/(-7)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a century in decades?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -16 and -0.148.\nAnswer: -16.148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2. Let x(g) = 2*g**2 + 8*g + 7. Let i be x(-5). Let b = 12 - 18. Let f(h) = -3*h**2 + h - 1. Let a(m) = b*f(m) + i*l(m). What is a(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 120 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/54 and (-6 - -2)\/((-30)\/4).\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 111791231?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*o - 67*o + 197*o - 68*o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -196231846 rounded to the nearest one million?\nAnswer: -196000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 11340, 88489, 297256, 703449, 1372876, 2371345?\n\"Answer: 10968*l**3 + l**2 + 370*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eses when four letters picked without replacement from {s: 3, e: 7}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7)\/(-5) - 6\/(-10). Find the second derivative of 2*c**5 + w*c + 6*c**4 - 6*c**4 wrt c.\nAnswer: 40*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -18*k - 1097. Let x be d(-62). Solve -19*b - 95 = x for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - -4295200316\nAnswer: 4295200316.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (9\/((-297)\/11))\/(4\/(-12))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(171) + sqrt(171) + sqrt(171) + 4)*-2.\nAnswer: -24*sqrt(19) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 4 - 7358*u + 13762*u - 1 + (0*u - 3*u + 4*u)*(-1 - 1 + 4).\nAnswer: 6406*u + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 163840 = 2*i. Let v = 54768 - i. What is v rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88 - 109*t**2 - 40 + 1064*t**2 + 128.\nAnswer: 955*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 12 = j, -5*r = -0*r - 5*j - 60. Suppose 2*v - 2*q - 2*q - r = 0, -q - 2 = 0. Suppose g = 2*g + 5, v = -3*l - 2*g + 2093. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8*((-6)\/15 - 1098\/(-20))?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -484*m - 2135. Calculate f(-5).\nAnswer: 285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 1 - 4 - 10243*a - 9.\nAnswer: -10243*a - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 0 + 0 - 3*q + 4*q + q + 2*q - 1 + 1 + (0 + 4 - 3)*(0*q + 2*q - q) + 2*q + 5*q - 4*q - 4*q + 0*q + 3*q)*(16 - 8 - 70).\nAnswer: -310*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 382906 - 272020. Let q = l - 12419117\/112. Calculate the common denominator of -33\/4 and q.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -2*c - 8. Suppose -c*i - 16 = -4*i, 4*r + i = 24. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -915, -1819, -2725, -3633, -4543, -5455, -6369?\nAnswer: -7285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -22. Round w to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8188306 and 18.\nAnswer: 73694754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -1127*l. Let k(r) = -8388*r. Calculate h(k(o)).\nAnswer: 9453276*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -250915 = -1791*q + 4136*q for q.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 61744068?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -26*(-2 - (-9)\/6). Let x(y) = -g*y - 13*y + 25*y - y**2 - 72*y**3. Let h be x(-1). Calculate the greatest common factor of 9 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 52736088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 547 = -567 for v.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 13 = -k + 34, 42*r + 5*k + 267 = 30 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 + 3*g + 3. Let x be a(-3). Let d(j) = j**3 - 86*j**2 - 355*j - 436. Let u be d(90). Let r = 5 - 1. Put x, -3, r, u in ascending order.\nAnswer: -3, x, r, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 277 (base 11) to base 9.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 551 - 552 - 37*z + 2*z. Is u(-3) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*o - 26 = -123*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + 119*p**2 - 455*p - 528. Let k be c(115). What is the fourth biggest value in -3\/4, -1\/3, 5, k, 8?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 779264 and 760832.\nAnswer: 1024","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/14? (a) 38.1 (b) -0.3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + x - x - x - 4*x + 3*x + (x + x - x)*(3 + 0 - 5) + 3*x - 2*x - 3*x + 0*x + 0 - x - 4)*(2 - 2 + 2).\nAnswer: -16*x - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 1\/5 (c) 0 (d) -4 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 5*u + 1. Let m(d) be the first derivative of -5*d**2\/2 - 612. Give 2*b(h) + 3*m(h).\nAnswer: -5*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhihbbtihbbbbhbbhbhb. What is prob of picking 2 h?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {j: 1, w: 6, e: 4}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from veeeecvifevwwwe. Give prob of sequence wvwi.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 22 = -21. Which is the fourth biggest value? (a) 0 (b) -0.1 (c) -2\/9 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 4*h**2 - h**2 - 4*h - h**3 + h**2. Let m = -13 + 15. Let f(y) = -y + 110*y**m + 0*y - 109*y**2. Determine -4*f(k) + r(k).\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -243*j**2 + 71*j**2 + 173*j**2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2222000211210 + 11?\nAnswer: -2222000211122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkkkkkkkkkkwkkkk. What is prob of picking 4 k?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 683403399 is divided by 340.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - 75*h + 1430. What is the remainder when 2262 is divided by x(51)?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r**(-1\/6)*r*r))\/(r*r**(2\/61)*r) assuming r is positive.\nAnswer: r**(-1415\/366)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1537 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: -56 divided by 2\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 6) to base 9.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 10*m + 38. Let y be h(3). Calculate the common denominator of 12\/61 and 17\/y - (-27)\/60.\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30351 is divided by 86.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.5846 + -9.2736. Round x to one decimal place.\nAnswer: -15.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 297757993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = y - 15, -2*y + 20 = s + 3*y. Let d = -2 - s. Suppose d*i = 5*a - 51, -2 = 2*i + 2. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3309, 3269, 3199, 3099, 2969, 2809?\n\"Answer: -15*k**2 + 5*k + 3319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 211.8345553733 - -4\nAnswer: 215.8345553733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67, 202, 401, 664, 991?\nAnswer: 1382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2*(sqrt(288)*-3 - sqrt(288)).\nAnswer: -96*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.378557ug to milligrams.\nAnswer: 0.008378557","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z + 62 + 100 = 0. Let u = -30 - z. Let g be (0\/(-3) + -4)*(-15 - u). What is the greatest common factor of g and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1*1)\/(-2))\/(41\/((-5904)\/11934)). Is z less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 15*n**2 - n - 10. Let m be r(-15). Which is the closest to 0? (a) 1 (b) 3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 323*k - 1370265 = 284*k. What is the thousands digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 3 + -25 + 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**2 - 846*s - 1700 = 0. Calculate s.\nAnswer: -2, 425","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001955 rounded to seven dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 477629289 to the nearest integer?\nAnswer: 782","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 41.7 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 c when three letters picked without replacement from {h: 1, w: 2, c: 1, x: 6, y: 3}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v - 49*i + 52*i + 15, i + 5 = 4*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 8 = -4*f, 2 = f - 2*b - 3*b. Let g be 2\/f + (-20)\/(-4). Is g\/27 - 19137\/(-27) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 + -568 + (187 - 12)?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -7187 smaller than -7170?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 6, 579, 4, -5, -148.7?\nAnswer: 579","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1 + sqrt(1100) - (3 + sqrt(11) + 1 - sqrt(11))*6)**2.\nAnswer: -520*sqrt(11) + 1776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -969 divided by 51.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 541594743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of 3*m**6\/10 + m**5\/10 + m**4\/72 - 13*m**3\/2 - 22*m. Let y(i) be the second derivative of w(i). Factor y(k).\nAnswer: (18*k + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 4*g - 20. Suppose -g = -z - 2. Find the first derivative of a**2 + 2*a - z + a**2 - 2*a wrt a.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 224*v**2. Let i(f) = 62524*f**2. Give i(l(r)).\nAnswer: 3137204224*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 3)*(2*a + 0 + 0) + a + 0 + 0 + (3*a - 1893 + 1893)*(3 + 2 - 3).\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**4 + 4*k**4 - 5*k**4 + (0*k - 4*k + 6*k)*(-5 - 5*k**3 + 5) - k**4 + 4*k**4 - k**4 + (3*k - 3*k + 2*k)*(3*k**3 - k**3 - 4*k**3).\nAnswer: -15*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.44 + 18.44. Let n = y + -13. What is the nearest to -1\/2 in -5, 2\/7, n?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 9111, 9123, 9157, 9225, 9339, 9511, 9753?\n\"Answer: 2*j**3 - j**2 + j + 9109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*36.2835.\nAnswer: -18.14175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 2:24 PM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7a (base 16) in base 2?\nAnswer: 1111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -1005*n + 2046. Let t be g(2). Solve t*f + 101 = -187 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -1593*j**2. Let g(a) = -12493*a. Determine x(g(o)).\nAnswer: -248627553057*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -31159, -31160, -31161, -31162, -31163, -31164?\n\"Answer: -w - 31158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128*p - 78 = -78. Solve p = -4*i - i + 20*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67511, -67509, -67507, -67505, -67503, -67501?\nAnswer: -67499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -219 and 6?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 10*q**3 + 6*q**2 - 5*q + 4. Let k(s) = 10*s**3 + 7*s**2 - 6*s + 5. Let x(l) = 15*l**2 - 17*l - 80. Let o be x(3). Calculate o*k(i) - 5*b(i).\nAnswer: -10*i**3 - 2*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 + (-10 - 81) - -41?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 9\/8, 3, -832, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/8 - 21\/(-4). Let h(c) = -c**3 + 12*c**2 - 9*c - 16. Let g be h(11). Suppose g*n - a = n. Solve -n = -5*x + 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -89*c**5 - 4650*c - 2*c**5 + 4584*c wrt c?\nAnswer: -1820*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 0.29.\nAnswer: -1.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2057 - -977. Is 8 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 21 - ((-10 - -4 - -10) + 0)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + 10*o - 10. Suppose -3*c = -6*c + 9. Let w be 22\/c + (-3)\/9. Let j(k) = k**2 + 7*k - 7. What is w*j(a) - 5*b(a)?\nAnswer: 2*a**2 - a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*h - 1\/2*h**3 + 0 + h**2 - 1\/2*h**4.\nAnswer: -h**2*(h - 1)*(h + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95384 + 141045 + 49103 = -5491*a for a.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -116652*b**2 - 14*b**5 - 44*b**5 + 115897*b**2 wrt b.\nAnswer: -3480*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**3*j*j\/(j*j\/(j*j*j**(-3\/7)))*j)**33)**(-43) assuming j is positive.\nAnswer: j**(-5676\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 427590.4 kilograms in milligrams?\nAnswer: 427590400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -33, -3, 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 199385607 to the nearest integer?\nAnswer: 14120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -130 + 296. List the prime factors of c.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.064+-43661\nAnswer: -43661.064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 v when two letters picked without replacement from {l: 6, s: 5, v: 4, e: 5}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 6:00 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w - 53 - 14 - 21 + 88.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/17 (b) 3.3 (c) 0.1 (d) -267 (e) -2\/7 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t + 56 = 13*t. What is the least common multiple of (-32)\/(-3) - 2\/3 and t?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 5 = -b. Suppose 3 = -3*j - b. What are the prime factors of (4\/j)\/((-20)\/170)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-10)\/((p*p*(p**12\/p)\/p*p)\/p))**(-48)\/((p\/(p**(1\/3)\/p))\/p**(-8)*(p\/(p**(1\/3)*p)*p)**50) assuming p is positive.\nAnswer: p**1013","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -f*m**3 + 3*f*m*v - 28*f*m - 3*f*v + m**3*v + 717*m**3 + 2*m - 275*v wrt v?\nAnswer: 3*f*m - 3*f + m**3 - 275","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 48 = 8*g. Let o be 130\/(-15)*(-2)\/4*3. Solve g*d + 15 = o*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j**3 - j**3 - 4*j**3)*(2 - 5 - 2 + (1 + 1 - 1)*(2 - 5 + 5))*(7*j - 1 + 1).\nAnswer: 21*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1488.899 meters in micrometers?\nAnswer: 1488899000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 517*s - 2*v - 10 = 260*s + 261*s, 14 = -5*s - 3*v for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 185 - 18788305.49.\nAnswer: -18788120.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -b - 3*m, -2*b + m - 3*m + 18 = 0. What is the highest common divisor of 287 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -79.2032, 4 in ascending order.\nAnswer: -79.2032, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (6*(sqrt(204) - (sqrt(204) - -2*sqrt(204))) + sqrt(204))\/((sqrt(3) + (sqrt(3) - 5*(sqrt(9)\/sqrt(3) - sqrt(3))))*3).\nAnswer: -11*sqrt(17)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-44)\/12 + -3)*12. Let x = -51 - d. Does 10 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10384408 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 23 = -j, -169 = -4*k + 5*j - 206 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*c - c**4 + 19 - 43 - 4*c**3 + 24 in the form y*c + q*c**4 + n*c**3 + o*c**2 + v and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 50404499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 4:15 AM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 16560000 rounded to the nearest 1000000?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -70*v + 7562. Let s be b(108). Sort -9, -7, s in increasing order.\nAnswer: -9, -7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 5:49 PM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 12:07 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 96436 to the power of 1\/2, to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -53 + (0 - (14 - ((-8 - (-9 - 5)) + 0))).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2669 + 2668.5. Let u be (-4)\/3*99\/33. What is the third biggest value in u, 0.3, -1\/21, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 108 - 56. What is the derivative of 12 - w - 321*s**4 + 285*s**4 wrt s?\nAnswer: -144*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 9:32 AM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -4.677876\nAnswer: -1.677876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36 - -178\/5. What is the third smallest value in 2, k, -0.1, -13?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7185\/135150 - 30\/510)*(-8)\/(-6)?\nAnswer: -2\/265","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-1 - (1 - 1)) + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 24\/5 and -1\/285427.\nAnswer: 1427135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 12666, 12385, 11926, 11295, 10498, 9541, 8430, 7171?\n\"Answer: u**3 - 95*u**2 - 3*u + 12763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - 10323101101320?\nAnswer: -10323101101322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 264754107 to the power of 1\/3, to the nearest integer?\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 + 4. Let h be p(-4). Suppose -t = -5*t - h. Let l(y) be the second derivative of -y**4\/12 - 7*y**3\/6 - 3*y**2\/2 + y. Give l(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 218781?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 11 - 55*s - 100*s + 193*s.\nAnswer: 38*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -1. Suppose -5*t = -b*g - 124, -2*t = -0*t - 5*g - 42. Is 13 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -881*m + 14877 - 39570 - 25798 = 23513 for m.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(3) + sqrt(12))*4 + -2) + 5 + sqrt(3)*-2 + 0 + -2.\nAnswer: -38*sqrt(3) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 2*x - 30 = 2*d, 35 = -5*d + 2*x. Let n be (6\/(-3) - -1)*5. Is d bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 586?\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 8156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1020)\/120*48\/204)\/(1*49).\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p**3 + 3*p**3 + 8*p**3 - 2*p**5 + (-p**3 + 2*p**4 + p**3)*(p + 0 + 0) + p**5 - 2*p**5 - 2*p**5.\nAnswer: -3*p**5 + 7*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 477590 and -0.1.\nAnswer: 477589.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 11:06 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -14*s + v, 3420*s - 3416*s - 239 = -21*v for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6.569841 litres?\nAnswer: 6569.841","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*y**2 + 8*y**2 - 10*y**2 in the form j*y**2 + a + i*y and give j.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y. Let c = 8 + -16. Let g(w) = -2*w**2 - 3 + 3. Let v(o) = 5*o**2. Let u(a) = c*g(a) - 3*v(a). Determine u(z(n)).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a century in decades?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 199666 to the power of 1\/2, to the nearest integer?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/7 - (-5)\/42. Let w = 8 + -3. Suppose -5*h + n = 4, w*h - 2*n = -0*h - 3. Which is smaller: h or u?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4 = -z, 4 = 4*q - 3*q - z. Suppose q = -8*n + 3015 + 225. What are the prime factors of n?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -1 - (-8 - -5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 - 13. Calculate the remainder when 38 is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 - -87. Put v, 3, -3, 2 in ascending order.\nAnswer: -3, 2, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w. Let c(f) = -12*f**2 + 7*f + 107. What is q(c(p))?\nAnswer: -24*p**2 + 14*p + 214","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - 5*i - 3. Let z be b(6). Let d be ((-105)\/20)\/(z\/(-8)). Suppose -19*h = -d*h - 90. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + 593 - (-14 - -14). Let p = 862 - a. Suppose -p - 76 = -5*b. What is the remainder when b is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32370 and 198956810?\nAnswer: 596870430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34\/145 - -1\/29. Let v be 0\/2 + (-6)\/36*4. Which is the smallest value? (a) 1 (b) g (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 5*i + 9. Let m be c(3). What is the highest common divisor of m and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.037539 * -0.6\nAnswer: -0.0225234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*w = -27*w + 35*w + 24 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*l - 5*i, 0*l + 18 = -l + 3*i. Let m(x) = -x**3 - 10*x**2 - 8*x + 10. Determine m(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 319086132?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaqlqaoqaqaaaaqqqa. Give prob of picking 1 o and 3 a.\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z**(4\/3)*z))\/z*z**(-1)*z)**(7\/5) assuming z is positive.\nAnswer: z**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/36 and ((-520)\/36)\/(-10) + (-1)\/(-1).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 307 = -2*p, 3*p - 2*f = 2*p + 156. Suppose 123 = -3*t + t - j, -3*j = -3*t - 189. Let r = p + t. What are the prime factors of r?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1 + sqrt(1900) + -3 + sqrt(1900) + (sqrt(1900) - -2*sqrt(1900)))**2 + 2.\nAnswer: -600*sqrt(19) + 47538","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (a - 2 - a + a)*(-39*a**3 - 28*a**3 + 12*a**3) as q*a**2 + k*a**3 + r + x*a**4 + l*a and give x.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = 10334 + 23032. What is the thousands digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63904 is divided by 120.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.55 in 0, -3\/2, -74.15?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39891 = 8*y - 39827. Let l(g) = g**2 + 9*g - 11. Let r be l(-10). Sort 5, r, y, 1 in decreasing order.\nAnswer: 5, 1, r, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -12\/235, 6\/5, -2?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 6 + 1)*(3 - 2*o - 3) + 2*o - 5*o + 0*o + (3 + 2*o - 3)*(0 - 4 + 3).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*l**3 + 67*l**2 - l - 1 + 1 - 12*l**3.\nAnswer: -3*l**3 + 67*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*s + 3240 = -39*s - 47*s for s.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*(-483)\/736*15\/4*(-18)\/(-105)?\nAnswer: -27\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -17*u + 75. Let z(l) = 16*l - 77. Let i(o) = -5*v(o) - 4*z(o). Is i(8) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 2:08 AM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 251657 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 10439 = -q - 10969, -2*p - 5*q = -10726. What are the prime factors of p?\nAnswer: 53, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3*y - 3. Let o be p(2). Suppose 2*u - 27 = -5*j, 4*j + 10 = 2*u - 8. Suppose -6*w - u + 41 = 0. Solve -2*i - o - w = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 0. Let p = m - 1. Solve -n - p + 0 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mgxm when four letters picked without replacement from {x: 4, g: 3, m: 6}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 66762222.94 to the nearest 10000.\nAnswer: 66760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 367020041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72.826548 - 2957.\nAnswer: -3029.826548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 4*a - 10 = 9*a, -2*a = -4*b - 12 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 490*z**3 - 135*z**3 - 166*z**3 - 119*z**3 - 148*z**3.\nAnswer: -78*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/((-2)\/3)*14. Suppose 9 = -4*g + z. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 351 - 350 = -2*s - l, -3*l + 18 = -s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/6 and 101\/550.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v**2. Let t(i) = -4*i. Let y(j) = -38*j - 1. Let f(o) = -5*t(o) - y(o). Give x(f(a)).\nAnswer: -6728*a**2 - 232*a - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 19\/10 of a meter?\nAnswer: 190","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 61, 214, -1399 in decreasing order.\nAnswer: 214, 61, -3, -1399","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23012123 - 1?\nAnswer: -23012124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1733.1 rounded to the nearest 100?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.9 + 0.1. Let h = -65.2775 + -0.7225. Which is bigger: v or h?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18364 + -18347.163. What is m rounded to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -95 take away -16?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a kilometer in meters?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 8*l**2 + 79231*l - 1031356. What is p(13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 366 - 120. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of -47*z**4\/12 - 7*z**2 + 2*z. Let x(t) = 16*t**2 + 5. Let v(u) = -6*g(u) - 17*x(u). Does 13 divide v(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 2\/8107?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 2*u - 50, 6 = u - d - 19. Does 7 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22057693?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 6*n**2 + n - 6. Let h be g(6). What is the first derivative of -3*u + h - 2 + 0*u + 1 wrt u?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (13\/(-7) - -1) + 1. Suppose -33 = -2*g - 3*m - 2, 0 = -4*m + 4. Suppose 5*a - g = 1. What is the nearest to 0.1 in a, 0.2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = 14431 - 14399 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 43563 to the power of 1\/2, to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22124 + 1393898\/63. Find the common denominator of -68\/3 and z.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7370 + 11237*m - 7370.\nAnswer: 11237*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*n**3 - n**3 + 0*n**3 + (-4*n**3 - 4*n**3 + 3*n**3)*(3 - 4 + 0) - 32*n**3 + 36*n**3 + 14*n**3 to b*n + r*n**2 + c + s*n**3 and give s.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - 11*b - 7. Let a be v(-10). Suppose a*g - 5*q = 79, -4*g + 2*q + 170 = 46. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 52*v**2*z**2 - 157*v**2 - 382*v + 961854*z**2 wrt z.\nAnswer: 104*v**2*z + 1923708*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-4))\/(o*o\/((((o\/(o\/(o\/(o*o\/((o*o*o\/(o\/((o*o**(-10\/3))\/o))*o)\/o)*o))))\/o)\/o*o)\/o)) assuming o is positive.\nAnswer: o**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94727656?\nAnswer: 2, 1013, 11689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20\/(-8)*112\/(-20). Let w(b) = -12 + 0*b - 19*b**3 - 2*b + y - 4 + b**2. Let f be w(-1). Solve -5*c + n + 30 = 0, -5*c + 2*n = 3*n - f for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/4 (b) 20 (c) -1 (d) -0.1 (e) 130\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2*o = -2. Let m(l) = 6*l + 1. What is the units digit of m(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6392 is divided by 159.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -695 - 274725?\nAnswer: -27530a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - 8*w**2 - 16*w - 26. Give d(-7).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2. Let h(b) = 319*b**2. Give h(z(s)).\nAnswer: 319*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7388 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k*k**1*k)**(-6\/13))**(-43))**(-7))**(-3) assuming k is positive.\nAnswer: k**(16254\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 2.2. Let k be -3 + 2 + 9\/21. What is the third smallest value in a, k, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 PM and 7:10 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of -5*d**3\/3 - 15*d**2\/2 - 94*d + 6. Let f(w) = w**2. Determine j(f(x)).\nAnswer: -10*x**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of -s**5\/30 + s**2 - 6*s. Let q(f) = -f**2. Give n(q(l)).\nAnswer: -2*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -75c8d0 (base 14) to base 3.\nAnswer: -21111210100022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2916 = 6*y - 2286. What are the prime factors of y?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 308, 617, 924, 1229, 1532?\nAnswer: 1833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u - 68 + 23 = 0. Factor 5*i**2 - 3*i**3 + 4*i**3 - i**u - 2*i**2 - 4*i - 3*i**4 + 4*i**3.\nAnswer: -i*(i - 1)**2*(i + 1)*(i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -698 (base 10) in base 8?\nAnswer: -1272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - 5*w**2 - w - 9. Let d be r(-6). Let i = d + -31. Suppose -5 - 45 = -i*f + 2*x, 3*x - 60 = -2*f. Does 10 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 836033843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -0.155431231?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 8:41 PM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20891 and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 525 - 522. Let b(m) be the first derivative of 5 - 4\/7*m**2 + 16\/7*m + 1\/21*m**x. Factor b(o).\nAnswer: (o - 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -53 - -52. Let v be -1 + i + (0 - 0). Which is greater: -3\/5 or v?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 76 - 37 = -3*f, -4*f + 142 = 5*w. Let n = w + -8. What is the greatest common factor of 54 and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**3 - 12367*f**2 - 247039*f - 1222353 = 0. Calculate f.\nAnswer: -12347, -11, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80899, 323228, 727109, 1292542, 2019527?\nAnswer: 2908064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*(0 + -1)*-1. Let a(i) = i**3 + 4*i**2 + 5*i + 4. Let l be a(-3). Let r = l + s. What is the smallest common multiple of r and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 4:54 AM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -7, 46, 279, 812, 1765, 3258, 5411?\n\"Answer: 20*d**3 - 30*d**2 + 3*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -891 and -9798\/11 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f**2 + 6*f + 12. Let c be w(4). Suppose 0*q - 3 = q + r, 4*q + r = 3. Suppose -v - q*t + c = 0, 3*t - 6 = v - 0. Solve -x = -v*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -69\/2 - -450\/13. Let p be 40\/(-100) + (-54)\/(-10) + -4. Which is greater: p or d?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49363 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 29\/2 of a hour?\nAnswer: 52200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.5 - -0.5. Let j be (-2)\/5 + 624\/(-15). Let s be (-40)\/j - (-12)\/(-18). Which is the second biggest value? (a) s (b) l (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359219.267 rounded to the nearest ten thousand?\nAnswer: 360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25049563 is divided by 69.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b - 7*b + 430320 - 430319 - 1039*b**3 to the form y*b + o*b**3 + s*b**2 + i and give o.\nAnswer: -1039","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -26, -107, -342, -809, -1586, -2751, -4382, -6557?\n\"Answer: -13*h**3 + h**2 + 7*h - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11083701 is divided by 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/(3 + -11))\/(2\/12). Suppose -4*b - 71 = 3*h, 55 = 3*h - 6*h + 4*b. Is ((-14)\/h)\/(g\/1611) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000177719 rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 382271710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 465, 738, 1011, 1284?\n\"Answer: 273*o + 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7240*a**4 - a - 7242*a**4 - 21 + 3*a**3 + 5*a**2 - 2*a**3 to the form n*a**4 + p*a**3 + l*a**2 + z*a + w and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.95 + 0.05. Let x = -49824 - -49822. Put m, x, 2, -1\/2 in increasing order.\nAnswer: x, -1\/2, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 101473?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**4\/3 + k**3 + 3*k**2 + 2*k\/3.\nAnswer: -k*(k - 2)*(k + 1)*(4*k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -5*d**4 + 12*d**3 + 21*d**2 - 30*d - 2. Let l(z) = 35*z**4 - 85*z**3 - 145*z**2 + 210*z + 15. Let k(a) = -2*l(a) - 15*o(a). Factor k(t).\nAnswer: 5*t*(t - 3)*(t - 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 225 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -67 - -119. Let k = -40 + g. Solve 0*s - 3*p = s - 9, -k = -3*p for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1490950?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 39 = -2*k - 19, 2*v - 5 = -3*k. Solve 24 = p + 4*q, k*q - 1 = 2*p + 16 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 + 7*b - 54. Is o(-12) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28184 is divided by 108.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1852602 is divided by 52.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 381 is divided by 182?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -4. Let b be ((-12)\/9)\/(4\/2). What is the third biggest value in b, m, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.7189511 to three dps.\nAnswer: 21.719","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 + 0*p**2 - 4*p**2)*(-2 + 2 + p) + 296*p**3 + p**2 - 615*p**3 + 421*p**3.\nAnswer: 100*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 PM and 5:49 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 222 and 85321852.\nAnswer: 255965556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - -2 - (14 - 21) - 12.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -3 + 0*b + 7 - 2*b. Let h be j(2). Suppose h*a - 3 = -3*a, 2*n + 3*a = 313. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 959891877?\nAnswer: 3, 7, 41, 157, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1505*n - 30 = 1503*n + 4*z, 3*n = -3*z + 90 for n.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9 + 473\/(-55) - (-22)\/(-5). Let o(u) = 5*u**2 - u + 8. Let d(j) = 6*j**2 - j + 9. Determine r*d(i) + 5*o(i).\nAnswer: i**2 - i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 92 - 3 - (106 + -68).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 - 4*d - 1. Let r be 0\/1 - (-7 - (-5 + 2)). Let a be w(r). Is (-1746)\/12*(-4)\/(-2)*a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 + -18. Suppose 6*k + 56 = -4*r + 9*k, v*r = 4*k - 60. Which is bigger: r or -12?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**3 + u**3 - 5*u**3 + 2*u**3 + 1 - 1 + (-u - u + 4*u)*(2*u**2 + u - u).\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**4 + 15*m**3 + 12*m**2.\nAnswer: 3*m**2*(m + 1)*(m + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 27 = -5*k, -5*z + 2*k = -230 + 233 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 844*t - 388*t = 423*t + 660 for t.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1296288 is divided by 1854.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -5, 2, 0.12, -1?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(130))\/sqrt(10)*-2.\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2 + 1750*l - 564024.\nAnswer: -(l - 1324)*(l - 426)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 3:05 PM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1357 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 18*z - 15*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 164357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.137, 153, -1\/2, -2\/7?\nAnswer: 153","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3319104?\nAnswer: 2, 3, 59, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -220?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 30127, 30156, 30215, 30310, 30447, 30632?\n\"Answer: a**3 + 9*a**2 - 5*a + 30122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*l + 30*l**2 + 66 + 12*l**3 - 2 - 13*l**3 - 10 = 0.\nAnswer: 1, 2, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 645729 and 32592?\nAnswer: 2037","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 4*p = -24, 4*o = 5*o - 4*p - 6. Suppose 0 = 5*t + 21 - o. Let w be ((-20)\/12)\/((-2)\/t). Which is smaller: -4 or w?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 22 = -4*p. Let u(g) = -3 + 4*g + 2*g - 5*g. Calculate the least common multiple of 2 and u(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 46*n - 19*n + 7*n - 5*n to b + p*n and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -14*h**3 - 2*h**2 + 3*h - 4. Is c(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -464 divided by 8?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y**3 + 39*y**2 - 82*y + 33. Let f be l(17). Calculate the greatest common divisor of 63 and f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 816 = -4*b, x = 3*x + 8. What is the highest common divisor of b and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -18*r**2 + 4*r - 5. Calculate p(2).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1149*w - 1149*w + 2386*w**3)*(-4*w + 2*w + w).\nAnswer: -2386*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -723 - -4?\nAnswer: -71c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 53.60138ml?\nAnswer: 0.05360138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5575642 is divided by 1115128.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -3*d. Let u be i(-1). Suppose -t - 12 = -u*v, 4*t + 5 - 25 = -5*v. Suppose 4*y - 172 = -t*y. Is 28 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 3:52 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 682, 717, 720, 697, 654, 597?\n\"Answer: y**3 - 22*y**2 + 94*y + 609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1068 is divided by 167.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00105574 to four decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - b - 1. Let z(n) = -5*n**3 - 4*n**2 + 9*n + 8. Let f(g) = -4*i(g) - z(g). Let r be f(-5). Does 11 divide 25 + -1 + (r - -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 800 + 12. Let i = -1383\/7 - x. Which is the nearest to 2\/3? (a) -3\/7 (b) 3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*q = 27*q - 1430. Suppose -16*x + q = -5*x. What is the highest common factor of x and 104?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**4\/11 + 52*i**3\/11 + 98*i**2\/11 + 48*i\/11.\nAnswer: 2*i*(i + 1)**2*(i + 24)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 13*d**2 - 28*d - 22. Let m be f(15). Solve 9*q - 7*q = m for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) 4 (c) 122\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9.93 in 8, 13.7, -0.1?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -191 - -767\/4. Factor -1\/2 - 1\/4*n**2 - v*n.\nAnswer: -(n + 1)*(n + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -3*p**3 + 4*p**2 - 4*p + 4. Let w(u) = 15*u**3 - 21*u**2 + 21*u - 21. Let a be (-5)\/2*(-16)\/(-10). Determine a*w(d) - 21*b(d).\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 l, 1 t, and 1 r when four letters picked without replacement from {r: 6, x: 2, l: 1, i: 3, t: 6}.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 2255000 to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + -16.1. Let n = q - 2.9. Let z be 6\/(-9)*(-3)\/(-6). Which is smaller: n or z?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -7. Solve 0*l - i*l - 15 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2642 and 3577256?\nAnswer: 3574614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 12:03 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 15 = 3*t, -2*r + 2*t + 0*t = 2. Let p = r + 12. Let y(z) = -z**2 + 8*z + 5. What is the remainder when 49 is divided by y(p)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4a (base 14) to base 8.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*b*r**3*y + b*r**3 - 3*b*r**2*y + 194*b*y - 37*r**3*y + r**3 - 960*r**2 wrt r.\nAnswer: -54*b*y + 6*b - 222*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 12. Suppose 4*q - 3*c - 49 = 0, -c + o*c = -2*q + 5. What is the greatest common factor of 2 and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -58 + 158. Suppose -3*w - g = -331. What is the highest common divisor of w and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 201938 and 203150 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -213*((-8)\/6 - 0). Calculate the highest common factor of 4 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 8148 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1011 - 1011 + 225*q + (-q - 2*q + 6*q)*(1 - 4 + 0).\nAnswer: 216*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((9*136\/36)\/12)\/((-3)\/(-18))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 - 1 = 8*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(7\/6)*y**(-6)*y*y*y**(-4\/5)\/y**(-4\/3) assuming y is positive.\nAnswer: y**(-109\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 5*j + j = -120, -105 = -4*m - 5*j. Let h = 12 + -138. Let d = h + 138. What is the remainder when m is divided by d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-34)\/(-102))\/(66\/4554).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**4\/10 - p**3\/5 + p**2\/10.\nAnswer: p**2*(p - 1)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -8. Put s, 4, -6 in descending order.\nAnswer: 4, s, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -324 + 326. What is the tens digit of ((-80)\/(-5))\/b*(-147)\/(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 13 + 4*a + a**2 - 4*a. What is the units digit of f(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ifppsxs. Give prob of picking 1 p and 1 x.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - (-16)\/(-5))*120\/(-48). Let o = -0.01 + -1.99. Let k = -2 - o. Which is the third smallest value? (a) 2 (b) n (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42350059.\nAnswer: 1021, 41479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212681 is divided by 212226?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -60*r**6 - 24*r**4*x + 13*r**3 - 62*r**2*x - r + 115*x wrt r.\nAnswer: -7200*r**3 - 576*r*x + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 11. Suppose 0 = i*c + 7*j - 3*j - 52, -c + 5*j = 11. Let q = 65 + -29. What is the highest common factor of q and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6699.539t in milligrams?\nAnswer: 6699539000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -35260, -35292, -35338, -35392, -35448, -35500, -35542?\n\"Answer: q**3 - 13*q**2 - 35248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b**3 + 27*b**2 - 11*b - 90. Determine m(16).\nAnswer: -1546","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2361022627 + -1?\nAnswer: -2361022630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 3*i**2 + 6*i - 2. Let j be h(4). Let v(l) = l**2 - 3. Calculate the remainder when (-148)\/j*3\/(-2) is divided by v(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(2 + ((3 + 2 + sqrt(80) + sqrt(80) + sqrt(80))*-2 - (-3 + sqrt(80) + sqrt(80))*3*-6)))**2.\nAnswer: -372000*sqrt(5) + 1896100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u + 2*u - 6*u + (5*u - 2*u - 4*u)*(9 + 17 + 7) - 5*u + 0*u + 3*u as o + c*u and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3194, 3197, 3200, 3203, 3206, 3209?\nAnswer: 3212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32 and 42.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-8) - ((-850)\/600 + (-3)\/9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 2 (c) -24.9266\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cdccdchdcd. Give prob of picking 1 c and 3 d.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 - 2*t. Let p be u(-2). Suppose -g + 5*s - 19 = p, -3*g + 0*s = -3*s - 3. Suppose -2*m - g = -4*m. Solve -2*j - 1 = m for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5609, 22254, 49995, 88832, 138765, 199794?\n\"Answer: 5548*h**2 + h + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*f = -56*f + 1996 - 227 for f.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22772 + -22633. Calculate the remainder when 568 is divided by v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-232)\/12)\/29 + 104\/3?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10276 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 82010206?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/15 and 6824\/1440 + (-7 - -2).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2250.346*-4.\nAnswer: 9001.384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-1 + 4 - 2) + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/9 + 323*j**2\/9 + 326*j\/9 - 72.\nAnswer: -(j - 324)*(j - 1)*(j + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6227*a - 376162 - 320180 = -3475*a - 17202 for a.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-70)\/56)\/(-5))\/((-10)\/(-144)).\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -59078 (b) -2 (c) 3 (d) -60\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*((-2)\/48)\/(26\/(-130))?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9607 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*x + 20 + 28*x - 9*x to the form z*x + h and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 127748 by 152.\nAnswer: 31937\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 - 6*o. Let p be n(-6). Let q be -8 - p\/((-3)\/(-3)). Let d = 13 + q. Solve -4*k - v - 4 = 11, 0 = -d*v + 5 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 705378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29834609 and 1309?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -7*m**2 + m - 1. Let o(y) = -5*y**2 - 1. Let u(k) = -2*g(k) + 3*o(k). Give u(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 104, 247, 418, 629, 892?\nAnswer: 1219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.7 or -176?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9338 + 9360. Sort -1\/4, f, -3, -4, 0.1 in ascending order.\nAnswer: -4, -3, -1\/4, 0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 70\/327 and -24\/60713.\nAnswer: 182139","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162 is divided by 79?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 32 - 34523144?\nAnswer: -34523112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50)\/6 - (-8 + -41 + 42)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 169953*p**2 - 527*p - 47 wrt p?\nAnswer: 339906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*u - 1 - 29 = 0. What is the second biggest value in u, -44, 2\/7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -248 - 272 + 570 - 50 - 3*o.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -2*t - u - 7, -3*u = -3 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3861088157 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -811980.\nAnswer: 324792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - (-1 - 5) - -1) + 11 - -11?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**3 + 5*l**2 + 150*l - 360.\nAnswer: -5*(l - 4)*(l - 3)*(l + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4, 16, 44, 94, 172?\n\"Answer: h**3 + 2*h**2 - h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 20.2.\nAnswer: 20.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 74100 + ad?\nAnswer: 741ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2946 - -2964. Suppose 5*r + 0*r - 20 = 0. What is the smallest common multiple of r and c?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 10*p + l + 32891 = 0, 5*p + 4*l = 41161. Calculate the lowest common multiple of p and 70.\nAnswer: 16450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 6.4. Let p(a) = a**2 + a - 2. Let s be p(-3). Suppose -s*y + 14 = -3*u - 2*y, 4*u - 2*y = -16. What is the third smallest value in -3, l, u?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**4\/3 + 10*b**3 + 27*b**2 - 4*b\/3 - 36 = 0. Calculate b.\nAnswer: -27, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*p = -30*p - 10. Suppose p*l + 265 = 5*a + 12*l, 159 = 3*a - 5*l. Let t = a - -25. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1540988 a multiple of 382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 765049 less than 765049?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, l: 4}. Give prob of picking 2 u and 2 l.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -8) + (-3)\/9?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 - 0\/(3 - -2). Let g(p) = 6*p - 13. Let i(j) = -j - 1. Let l(s) = -g(s) + 5*i(s). Let y(v) = 7*v - 5. What is z*l(d) + 8*y(d)?\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -3*n**2. Let o = 28 + -27. Suppose 7 = 4*t - o. Let f(w) = -14*w + 14*w - 4*w**2 + 0*w**t. Give f(q(m)).\nAnswer: -36*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.034610373+0.4\nAnswer: 0.365389627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 97 - 106. Find the common denominator of -37\/6 and ((4545\/20)\/p)\/(-5).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -495?\nAnswer: 2475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -306779 and 177.\nAnswer: -54299883","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -2 + 20 + -22?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - -6. Suppose 0 = 2*d - 68 + 12. Let p = d + c. Calculate the remainder when 135 is divided by p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.9 + -2.1. Let m = 3.28 + t. Let k = m - 0.195. What is k rounded to two decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of 0*h - 1\/3*h**3 - 1\/12*h**4 - 2*h**2 - 1\/168*h**8 + 0 + 1\/15*h**5 + 1\/30*h**6 - 1\/105*h**7. Factor k(d).\nAnswer: -2*(d - 1)**2*(d + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5948 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -72948982 at most as big as -72948981?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2. Let z = 2 + -8. Let c(i) = -i - 4. Let g be c(z). Let x(b) = 5*b**2 + g*b**2 + 4*b**2. Determine w(x(q)).\nAnswer: 121*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7245 and 1638?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 189 + -117. Suppose -3*f - 3*g = -k, 5*f - 115 = -g + 1. Solve -3*t + 4*m + f = 0, -m - 36 + 9 = -5*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1279 - 964 = -3*f - 4*g, -3729 = -5*f - 2*g. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 287 - -15?\nAnswer: 29c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 185 - 192. Which is the third smallest value? (a) 2\/29 (b) -2\/9 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3970*h = -3965*h - 15 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 125 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2 + 27465*x - 274550.\nAnswer: -(x - 27455)*(x - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -5*o**2 - 15*o - 7. What is y(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*y - 49*y - 10198*y**2 + 8123*y**2.\nAnswer: -2075*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 + (-2)\/(-2) + 2. Let j = -3\/2 - s. Find the common denominator of 6\/11 and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 375*r*s - 37*s - 1 wrt r?\nAnswer: 375*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4*(5 - 45\/10). Suppose -9*z = -11*z - v*s - 6, 2*s + 6 = 0. Solve z = o + o - 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2525 is divided by 629.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1200624095?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -j**3\/3 + 5*j**2 - 3*j - 1. Determine d(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) + -2 + 3 - sqrt(162))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 190, 1, -2, 0.054?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 285279, 2282195, 7702389, 18257499, 35659163?\nAnswer: 61619019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2*152\/(-20))\/(4\/10). Let x be (-2)\/(-4) - p\/76. Solve -13 = -d - 3*s, 2*s - 10 = -x*s for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2395 - 1579. Is o a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 8 = -7*b, 8224*u - 4*b - 8 = 8220*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5942368 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 5*w - 2*j, w - 5*j + 3 = -10. Let q be (-372)\/w - (-1)\/2. Suppose 3*g - q = 7. Calculate the highest common factor of g and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 425260845 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -94, -248, -402, -556?\nAnswer: -710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (16 - -217583)*((-4)\/(-18))\/((-8)\/(-12)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1664) - sqrt(1664))\/((sqrt(8) - sqrt(2))*-1).\nAnswer: 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-3) + 21 + -19. Is p bigger than 3\/580?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -242 + 237.15. Let o = i + 0.25. Let s = o + 5. Which is the second smallest value? (a) s (b) 2\/7 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 3:57 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 632*h + 91*h - 559305 = 7628*h for h.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 866?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 2*b = -12, b = -n - 2*n - 14 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -o + 3, 2*g + 3 = -11*o + 5*g. Sort -47, 3, o in ascending order.\nAnswer: -47, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*i**2 + 669*i**2 - 39*i**3 + 37*i**3 - 2*i.\nAnswer: -2*i**3 + 624*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u**2 - 32*u - 16. Let t(s) = -2*s**2 - 3*s + 20. Let h be t(-5). Let f be b(h). Solve -10*m = -f*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(539)*-3)**2 - (-1 + sqrt(11))**2*3) + (5*(sqrt(88) - (sqrt(88)*1 + sqrt(88))))\/((sqrt(96)\/sqrt(4))\/sqrt(3)).\nAnswer: sqrt(11) + 4815","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 690 is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.05 + 3.95. Let y be (3\/22)\/(9\/(-12)). Let d be (-5)\/(-11)*(-4)\/(-10). Put d, w, y in descending order.\nAnswer: w, d, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 3*h + 2237 = 0, -d + 3*d = 3*h + 1123. Does 20 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24846548 divided by -299356.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15716.6 and -0.02.\nAnswer: -314.332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-64)\/(-416) + (-3)\/((-78)\/8576). Let c be (-1020)\/b - -1*3. Are -0.1 and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(2*-3)*(-56)\/98. Let w = 3 - 3.3. What is the second smallest value in w, 2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 - -22. Let d be (l - 3\/(-9))*15. Let s be (17\/(-5) - -3)*d. Round s to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24\/7*v - 176\/7*v**3 + 44\/7*v**2 + 0 - 16\/7*v**5 + 124\/7*v**4 = 0 for v.\nAnswer: -1\/4, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -24\/35015759?\nAnswer: -24\/35015759","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17.79766 decades?\nAnswer: 2135.7192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-30)\/(-8))\/3)\/(3\/12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -19*b - 87. Let u(w) = 9*w + 43. Give 5*u(y) + 2*x(y).\nAnswer: 7*y + 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -33 - (-10 - -2)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + (27 - 14) + -50?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -310370 and -1.94.\nAnswer: 602117.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y**2 + 0*y**2 - y**2)*(0 + 1 + 2) as j + m*y + d*y**2 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -43220 divided by -4322?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.3127 + -2.5127. Let i be 102\/63 + (-2)\/7. Put i, 0, u in ascending order.\nAnswer: u, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54)\/(-4))\/(9900\/(-660))*16\/(-108).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3941268754?\nAnswer: 2, 47, 379, 110629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4027, -8062, -12097, -16132?\nAnswer: -20167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -6*k**3 - 2*k**2 - 2*k. Suppose 0 = -19*l + 20*l - 9. Suppose l*f - 253 = -2*f. Calculate the remainder when u(-2) is divided by f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = -2*c - 12, 2*c = -126*s + 123*s + 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hljjjjjhhh. What is prob of picking 2 h and 2 j?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 127566, 127558, 127536, 127494, 127426, 127326?\n\"Answer: -m**3 - m**2 + 2*m + 127566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/40 + (0 - 63\/120).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -204 - -204. Let c = -1.5 + 1. Let u = c + o. What is the closest to 6 in u, 0, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*z + 7*z = -60. Suppose -5*h = -5*m - 95, h - 53 = -2*h + z*m. Let c be (h\/5)\/(-7) - 74\/10. Let g(x) = x**3 + 7*x**2 - 10*x - 5. Calculate g(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567) - sqrt(567)*2 - sqrt(567))*-3)\/((sqrt(27)\/(sqrt(3) + sqrt(12)\/sqrt(4) - sqrt(3)) - sqrt(9)) + 1*sqrt(9)*1).\nAnswer: 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 398900, 397484, 396066, 394646, 393224, 391800?\n\"Answer: -x**2 - 1413*x + 400314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 21*z**3 - 492*z**2 - 297*z + 216 = 0. Calculate z.\nAnswer: -1, 3\/7, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.3 + 11.7. Let h = 6 - z. Which is the closest to 1? (a) -0.1 (b) 0 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 12*g. Let j(t) = -3*t + 12576430. Calculate h(j(i)).\nAnswer: -36*i + 150917160","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -4*d + 42, 3*d - 5*h - 77 = -d. Let a(p) = 2*p**2 - 23*p + 53. Calculate the lowest common multiple of a(d) and 28.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -59\/3 - -20. Let q = -4 + 7. Let f = -2.08 + 0.08. Which is the closest to x? (a) f (b) q (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.206 - 0.706. What is the third biggest value in 2, 1\/2, -4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*n + 4. Let t(v) = -v**3 + 5*v**2 - 4*v - 1. Let x be t(n). Solve 5*i + 28 = 2*c + 2*c, 4*i = x*c - 26 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 16441.38mm?\nAnswer: 16441380000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (321 + 6*o - 321)*(61*o**2 - 354*o**2 + 146*o**2) to the form i*o**2 + l + r*o + x*o**3 and give x.\nAnswer: -882","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**2 - 333*x + 1590 = 0. What is x?\nAnswer: 5, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110100100001110111 - 0?\nAnswer: 110100100001110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 82603556 to the power of 1\/2, to the nearest integer?\nAnswer: 9089","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.36 or -2036427\/14?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + y - 5 = 0, -y + 0 + 2 = 0. Suppose -3*s - 13 - f = -p, -2*p = -3*s - 16. Solve 0 = 2*k - 5*b - 5, 0 = p*k - 2*b - 3 - 5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10 + -1)*-1*1. Suppose -2*b - 105 = -d. Let o = b - -116. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 4*l = 0. Let i(s) = s**3 + 6*s**2 - 10*s - 10. Let z be i(-7). Let g = 19 - z. Solve -3*f + f - g = l for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -408 take away -580868433.89?\nAnswer: 580868025.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 35023 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.078 + -1.522. Let o = 1.7 + b. Let j = 0 + -6\/5. What is the nearest to o in -4, -4\/7, j?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18508371 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2051, 1923, 1579, 911, -189?\n\"Answer: -18*v**3 - 2*v + 2071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2300 + -220?\nAnswer: 2020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 1 + 1)*(33184*v**2 - 33184*v**2 - 334*v**4) - v**5 + 0*v**5 + 2*v**5.\nAnswer: -667*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -20585, -1, -2, 1, -4 in descending order.\nAnswer: 8, 1, -1, -2, -4, -20585","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -4 + 1 - 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 214, 1082, 2600, 4768?\nAnswer: 7586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/2 + (-49)\/(-42).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50613 (base 7) in base 3?\nAnswer: 121212220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**4 + 944*r**3 + 958*r**2 - 5676*r.\nAnswer: -2*r*(r - 473)*(r - 2)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**11*((m**44\/m)\/m)\/m*m)\/(m**38)**(-20) assuming m is positive.\nAnswer: m**813","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 3*k = -154 - 25, -19 = -t - 5*k. Suppose 0 = 2*v - r - 16 - t, -v = -5*r - 16. Calculate the remainder when v is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 9\/23 (b) 0 (c) 1\/3 (d) -3 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.17 + -1.63. Let n = 0.2 + 1. Let g = k - n. Which is the second smallest value? (a) g (b) 5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40435 - 16*u**2 - 40435.\nAnswer: -16*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -4, 0.1, 0.4, -2063, -2\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 greater than -21899?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14652346 + 5?\nAnswer: -14652341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 547108133?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = b - 1, -4*h + b + 18 = -2*b. Suppose c - 5*w - 1 = 8, 4*c = h*w + 19. Solve c*z - z = -6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 - 5*h + 4. Suppose -11 - 4 = -3*q. Let d be i(q). Suppose -d*s - 12 = -8*s. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 596 is divided by 206.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 j when two letters picked without replacement from {j: 6, i: 1, x: 5, e: 3, a: 1, r: 3}.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/18 and -10\/2913?\nAnswer: 17478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 99514 - 175?\nAnswer: 99339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 145028984?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 98329617?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/36160 and -101\/224192?\nAnswer: 1120960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 6*m**2 - 4*m + 6. Let n be q(6). Let f(p) = p**3 + 18*p**2 + 2. Let v be f(n). Solve -v*g + 0 - 10 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 4*n**2 + 18*n + 56. Determine t(-8).\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*k = 10*k + 26. Let h = -2 - -3. Solve -h = k*f + 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 22 in 3, 0.7, 1.02, 4\/3, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 51712207 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 10*g**2 - 3*g + 3. List the prime factors of b(2).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11286 and 88236?\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**4\/4 - 920*s**3 + 95441*s**2\/2 + 560720*s + 2048319\/4 = 0 for s.\nAnswer: -3731, -9, -1, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10684097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18824 - 18823.5. Which is the third smallest value? (a) n (b) -4\/3 (c) -2114\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 + 5 + -3 - 20) + 5 - 58?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 + 7*k**2 - 2. Let r = 22 + -57. Let q = -28 - r. Give v(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*(2 + 3\/(-1)). Suppose j*m = 19*m - 2912. Does 14 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 5*j + 50 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 21cd7 - 0?\nAnswer: 21cd7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -20 and -376258179249.\nAnswer: -376258179269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 5)*(-4 + v + 4)*(-423 + 1896 + 43*v - 1354).\nAnswer: -129*v**2 - 357*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, 16, -1?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.545716ml in litres?\nAnswer: 0.006545716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rbvmr. What is prob of sequence mm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a century in years?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 12 = 3. Let c be w*(63\/70 - 2\/4). Let j = -0.2 - 0.1. What is the biggest value in c, 1, j, 0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-4\/3)\/u**(-2))\/((u**(-3\/4)*u)\/(u**(-1\/11)\/u)))\/((u*u**(-2\/5))**(2\/5))**(-1\/7) assuming u is positive.\nAnswer: u**(-14783\/23100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 7179.531us?\nAnswer: 7179531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/2)*t)**(1\/3)*t**(-16)*t*t*t**(3\/10)\/t*t assuming t is positive.\nAnswer: t**(-203\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -34843 + 3?\nAnswer: -34840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 8 = 3*h. Suppose h*s - 4*s - 4 = 0. Suppose -s - 2 = -a. Solve a*b + 16 = 2*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4\/251 + -267\/1004. Which is the smallest value? (a) h (b) 20 (c) -1\/6 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.78 - 0.8. Let n = -2.98 + w. Let f = -0.1 - 0.2. Which is the closest to 0? (a) n (b) f (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000014171275 to seven dps.\nAnswer: 0.0000142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 7 = a + 2*y, 5*y - 15 = 2*a. Let u(o) = -2*o - 1. Calculate the remainder when 35 is divided by u(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**3 - 27*k**2 - 4*k + 4. Let o(q) = q**3 - 28*q**2 - 3*q + 3. What is 3*c(z) - 4*o(z)?\nAnswer: 2*z**3 + 31*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -21*(1\/(-4))\/((-189)\/(-216))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 32, -1, 685 in descending order.\nAnswer: 685, 32, 3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d**3 - 11*d**3 + 25228 - 34*d**3 - 25228.\nAnswer: -39*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**2 - b. Let t(s) = s**2 + s + 1. Let u(j) = -j**3 + 5*j**2 + j - 2. Let m be u(5). Let z = 3 - m. Let a be t(z). Calculate l(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -41421 - 22225?\nAnswer: -104050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -5*u - 19, -3 = -3*u - 0. Suppose 4*x + 15 = 5*y, 0 = -5*y - 2*x - 9 + a. Sort y, 18, 0 in decreasing order.\nAnswer: 18, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + (-550)\/(-75))*(-5)\/(160\/1128).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/120*36*(-5)\/(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 0 = 4*a - 5, 0 = -t + 2*a - 7 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 139 - 98. Let h be (-39)\/28 + (-304)\/(-266). Which is the biggest value? (a) 3 (b) h (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + 11. Suppose i = -g*i + 4. Suppose 0 = -i*o + 8*o. Solve 4*u + 0*u = o for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191*v - 16301 = -8852 for v.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 2*i + 8, 3*s - 4*i + 778 - 806 = 0. Which is the closest to 2\/7? (a) 6\/11 (b) s (c) -1 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.410190202 + -0.4102. What is o rounded to 6 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 42 = q - 5*v, -3*v + 162 = 3*q. Sort -4, -1, q in decreasing order.\nAnswer: q, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -322?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -142*x + 24. Is u(-4) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -59*l + 48*l + 231. What is the greatest common divisor of 225 and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 44\/15 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -33464658*i**4 + 11285*i - 135.\nAnswer: -401575896*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4380 divided by -647?\nAnswer: 4380\/647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-77 + 30 - -109) + -23?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n**2 + 4*n**2 - 2*n**2)*(30*n**2 - 5*n**2 - 2*n - 15*n**2) + 2*n**4 - 4*n**4 + 3*n**4 to the form i*n**2 + p*n + d*n**3 + x + g*n**4 and give g.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 10, -4*l + 4 = -v - 2*l. Let x = 9 + v. Solve a + x + 4 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 232587 and 4257?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -4*d + 25. Let x be u(4). Suppose -6*m - 48 = -x*m. Suppose 0 = 16*s - 7 - 9. Calculate the greatest common divisor of m and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*p - 21*p - 2*p)*(3*p + 4*p - 5*p + (2 - 3 - 4)*(-20*p - 28*p + 50*p)).\nAnswer: 136*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10652\/15 + -710. Let j = 10 + 8. What is the closest to j in u, -0.1, -4\/9?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 2)*(-4 - v + 4)*(5 + 1 - 10) + v - 2*v + 2*v.\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 + 40\/3. Let y be (-1)\/3 + (-13)\/(-3). Let j = 2\/29 - 64\/87. What is the closest to j in y, l, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f + 2. Let o(a) = 5*a - 7. Let b(t) = 4*m(t) + o(t). Let u(q) = 14*q + 2. Give 8*b(x) - 5*u(x).\nAnswer: 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -53 + 43. Let d(c) = -c - 5. Let k be d(a). Calculate the highest common divisor of 20 and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of -y**5\/60 - 5*y**4\/24 + y**3 + 3*y**2. Let t be j(-5). Solve -15 = m - t*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/5828 and 79\/589192?\nAnswer: 18264952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 1251*l - 2413. Is i(3) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = p - 5*s + 11, -5*p + 29 = s. Suppose 0 = -g - 3 + 2. Let i = p + g. What is the highest common divisor of i and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.88117*0.1.\nAnswer: 0.488117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 280*d + 3. Let s(v) = -v. Calculate 4*s(q) - w(q).\nAnswer: -284*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188773 is divided by 430.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, -106, 15, 1 in ascending order.\nAnswer: -106, 1, 15, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -97 + -658\nAnswer: -755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 154699385 a multiple of 800?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is dc3 - -403?\nAnswer: 13c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 315*v**2 - 1. Let j be h(-1). Suppose -2*c + c - 289 = -y, j = y + 4*c. Is 49 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.897005l to millilitres.\nAnswer: 2897.005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 35*d + 53?\nAnswer: 35","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 10 (c) 303\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2337\/(-6)*(0 - -4). What is the hundreds digit of (i\/(-4))\/((-3)\/(-6))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-1\/2)*q)\/(q\/(q\/(((q*q\/((q*q**(3\/5))\/q))\/q)\/q))))\/(q**(-1)\/q)**7)\/(q*q**(-1\/2)*q**(-1\/7))**(-42) assuming q is positive.\nAnswer: q**(301\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 150, 614, 1388, 2472?\n\"Answer: 155*u**2 - u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 1) + (-23 - (-17 - -13))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1418 - 8375 - 16683 - 14345 - 447 - 7659)*(-s**3 + 3*s**3 - s**3).\nAnswer: -46091*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*m**2*n**4 - 617*m**2*n - 722*m*n**4 + m*n**3 - 4*n**2 wrt n.\nAnswer: 48*m**2*n - 17328*m*n + 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + 11*a**2 + a + 16. Suppose -6*o + 11*o + 69 = -4*n, -24 = 4*n - 4*o. What is m(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -18. What is the third derivative of 4*q**4 - 2*q**g + q**2 + 3*q**2 - 7*q**2 wrt q?\nAnswer: 96*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i**2 - i + 2. Let l(n) = n**2 - 5. Let w(x) = 2*x**2 - 12. Let d(p) = -5*l(p) + 2*w(p). What is 9*d(f) - 4*v(f)?\nAnswer: -f**2 + 4*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**0)\/u)**(1\/7)\/(u**(3\/2)\/(u*u*u\/u**(-2\/5))) assuming u is positive.\nAnswer: u**(19\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 20\/9, 33\/1117, -4\/7?\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/5 - (-24)\/10. Suppose -48 = -h*y - 4*y. Suppose -y = -3*t - 5. What is the greatest common divisor of 9 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6654778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o. Let s(m) be the third derivative of 3*m**5\/20 + 5*m**2 + 4. Calculate s(v(h)).\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 6*i**3 + 12*i + 12. Let h(b) = -b**3 - b - 1. Let u be 1\/6 - ((-460)\/(-24) - 7). What is u*h(v) - y(v)?\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5782839 is divided by 760?\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, s: 2, c: 1, t: 1}. What is prob of picking 2 s and 1 c?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hyyhyhhhjhsyysshyshy. Give prob of sequence yyjy.\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6 and -20018.37.\nAnswer: -120110.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1472929 + -1472929.5599912. Let m = -0.56 - d. Round m to 7 decimal places.\nAnswer: -0.0000088","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(243) - (sqrt(243) + 4)) + sqrt(243) - sqrt(27)) + -4)**2.\nAnswer: -96*sqrt(3) + 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1582 at most as big as -1491?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (15 - (-10)\/(-5)) + -4. Suppose -3*g + 114 = y. Calculate the highest common divisor of 5 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 356 + 4. Suppose -4*u + 0*u + l = 0. Calculate the highest common divisor of u and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 52 + -51.6. What is the nearest to -1\/6 in 4, v, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 5*q + 0*q = 14, 0 = 5*j - 4*q - 7. Let s be j\/(-3) - (-3)\/45. Which is the closest to 1? (a) -0.1 (b) -3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/(-4))\/(1\/6). Let u be (-3)\/v + (-11)\/15. Suppose 3*n + 3*d - 4 = n, 2*n = d - 4. What is the biggest value in u, -1\/2, n?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of -1 - (-8)\/((-16)\/(-42))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.12815 and -17364.83.\nAnswer: -17364.70185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-y + y + 2*y**2)*(4 - 3*y**2 - 4) + 3*y**4 + 4*y**3 - 4*y**3 - 4*y**4 + 2*y**4 + 0*y**4 to d + o*y + v*y**3 + t*y**4 + f*y**2 and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 4. Let a(i) = -5*i**3 + i**2 - 1. Let j be a(t). Suppose 0*c - c + j = 0. What is the lowest common multiple of 4 and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78115 to the power of 1\/2, to the nearest integer?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*q + 8. Suppose 5*j + 5*p = 75, 0 = -j - q*p + 3*p + 5. Let u = 36 - 29. What is the remainder when j is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45, -91, -137?\nAnswer: -183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14202231?\nAnswer: 3, 601, 7877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 235771.4 litres?\nAnswer: 235771400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a meter in centimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in months?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*h + 10. Let o(q) = -5*q**3 - 6*q**2 + 5*q + 7. Let w(p) = -p**3 - p**2 + p + 1. Let l(j) = h*w(j) + o(j). What is the tens digit of l(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20102002212212 (base 3) in base 15?\nAnswer: -47485b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -58\/27 and 58\/6210255.\nAnswer: 55892295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*j - 679 = -371. Which is the biggest value? (a) 2 (b) j (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - ac?\nAnswer: -b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1303241?\nAnswer: 1303241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1 and 8.62069.\nAnswer: 8.52069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 9644, 9646, 9664, 9704, 9772?\n\"Answer: d**3 + 2*d**2 - 11*d + 9652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2209, -8817, -19809, -35185, -54945, -79089, -107617?\n\"Answer: -2192*n**2 - 32*n + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16*((-18)\/(-207))\/((-48)\/(-276))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - f - 8 = 0, -2*k + 9 - 7 = -4*f. Let s(u) = 2*u - 2. Let v(i) = 22*i - 41. Let c(o) = k*s(o) + v(o). What is the derivative of c(l) wrt l?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/114156 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 4 - (((-18)\/(-6))\/12 - (-3556)\/(-1680))\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 1:52 AM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 207 divide 563946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and -2443726795.62637.\nAnswer: -2443726795.62637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2173454 to the power of 1\/2, to the nearest integer?\nAnswer: 1474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1045771 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 91*n**2 + 316*n + 3199. Give j(-94).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (-46 - (9 - 40))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-66 - 18 - -22) + -27 - -17\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + u)*(0*u + 0*u - u**2) - 35*u**3 + 74*u**3 - 80*u**3.\nAnswer: -42*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -1d8?\nAnswer: 1dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2699928893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -24 - -1da5?\nAnswer: 1d81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6798)\/(-927) - 7*1.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3604112 and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6904317 is divided by 1740.\nAnswer: 1737","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2454 + 122 = -g, -g = -5*v - 2372. Let o = g + -1468. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/(684\/(-80)) - -1. Which is smaller: q or 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 9.439532 micrometers?\nAnswer: 0.000000009439532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + 7*l**2 - l - 7. Let o be j(-7). Let h = -3 - -6. Which is the second biggest value? (a) h (b) -2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/56)\/((3\/(-32))\/((-18)\/(-72))). What is the third biggest value in w, -295, 10?\nAnswer: -295","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 384 and 512?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/742 and 83\/4.\nAnswer: 1484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 383093 to the power of 1\/2, to the nearest integer?\nAnswer: 619","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-152 + 147 + 203)*(-3*s - s + 2*s).\nAnswer: -396*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -355, -731, -1107?\n\"Answer: -376*b + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/1*48\/1368?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 49*q**2 + 22 - 38 + 98 with respect to q.\nAnswer: 98*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b - 22. Let f be (-3)\/9 - (-345)\/9. Suppose s = -3*k - f, -5*s = -2*k - 3*s - 20. Let c be l(k). Solve -1 - c = o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*m**2 - 5*m**2 - m**2 + 2*m**5 - 4*m**5 wrt m?\nAnswer: -120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 4*y**3 + 15 + 2*y**2 + 13*y**2 + 7*y - 5*y**3. Let k be h(15). Suppose 2*i - 52 = k. Is i a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**3 + 5*l**3 + 5*l**3 - 8*l**3.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 5*o = 35, 4*l + 0 + 13 = -o. Let v(d) = 8 + 3*d**2 - 3 - 1 - 4*d**2 + d. What is v(l)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3704661 divided by -963.\nAnswer: -3847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1351, 5476, 12351, 21976, 34351?\nAnswer: 49476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3*j**2 + 63*j - 48. Let i be o(-22). Solve -i + 21 = a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -167 (base 11) to base 6.\nAnswer: -522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*r**2*s + 698652*r**2 - 1295393*r + 3*s wrt r.\nAnswer: -4*s + 1397304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -32312 (base 7) in base 8?\nAnswer: -17555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**2. Let p(z) = -z**2 - 3. Let l(g) = 2*g**2 + 4. Let a(s) = 3*l(s) + 4*p(s). Calculate a(t(o)).\nAnswer: 8*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 19*f**2 - 10. Let j(u) = 37*u**2 - 25. Let l(s) = 2*j(s) - 5*w(s). Let q(o) = -26*o**2. What is q(l(b))?\nAnswer: -11466*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -110235, -221237, -332237, -443235, -554231?\nAnswer: -665225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 804484063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -224*r - 119132 + 238277 - 811*r**3 - 3*r**4 - 119134 wrt r?\nAnswer: -36*r**2 - 4866*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**5\/7 - 902*c**4\/7 - 5482*c**3\/7 - 962*c**2\/7 + 21968*c\/7 - 14624\/7 = 0. What is c?\nAnswer: -4, 1, 457","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 160\/(-28) - (-4)\/(-14). Let k(a) = -a**3 - 7*a**2 - 7*a - 1. Let v be k(b). Suppose l - 90 + 23 = -v*h, -2*h + 196 = 4*l. Is l a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 + 7 = 17*c. Let t(i) = i. Let h(q) = -7*q + 2. What is c*t(z) + h(z)?\nAnswer: -4*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6801267 milligrams in tonnes?\nAnswer: 0.0000000006801267","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -12?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 9*p + 5 = 0. Let m = 3 + p. Find the third derivative of q**6 - 7*q**6 - m*q**2 + 3*q**6 wrt q.\nAnswer: -360*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5598 and 60.\nAnswer: 55980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/17, 3, -3, 36, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 8:51 AM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4504 and 29839?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -2*w**4\/25 - 3208*w**3\/25 - 6406*w**2\/25 + 3208*w\/25 + 6408\/25 = 0.\nAnswer: -1602, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*c = 94*c + 705. What is the remainder when c is divided by 49?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 277 divide 44874?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -976 (b) 0.23 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -3 - 27) + 545 + -533\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2250 and 289125?\nAnswer: 578250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 36 (b) -0.5 (c) -3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66028, -66034, -66050, -66082, -66136, -66218?\nAnswer: -66334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -205, -105, -7, 89?\nAnswer: 183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/15? (a) 5 (b) -2\/3 (c) -3\/18836 (d) 3\/28 (e) -2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 994 and 561?\nAnswer: 557634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of u**4\/12 - u**3\/3 - u**2\/2 + 3*u. Let j be i(2). Let q = j + 5. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 955, 884, 765, 598?\nAnswer: 383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -42*y - 6. Let c(j) = 672*j + 98. Suppose -5*i + 500 = 5*l, 3*l = 2*i - 0*l - 190. Let f(o) = i*k(o) + 6*c(o). Let b(z) = 2*z. Calculate f(b(w)).\nAnswer: -168*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 b when three letters picked without replacement from {b: 11, u: 3}.\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73 divided by -5.\nAnswer: -73\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*m + m**2 - 2*m**3 + 6*m**2 + 0*m**3 - 3*m - 4*m to k + j*m**3 + b*m**2 + z*m and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15*(-24)\/(-135))\/(0 - (-4)\/6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5.3 (b) -2\/7 (c) -5 (d) 14 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14905 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - 0. Let u be 2\/3*9\/o. Which is greater: -1\/8 or u?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 76293 and 247736.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-11))\/(-5)*(-110)\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -w - 5*f + 3, -f = -2*w - 23. Let n = -9151\/5 - -1823. What is the common denominator of (-33)\/w*206\/(-60) and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 4*a - 12. Let b(r) = r**3 - r. Let z(w) = -w**3 - 4*w**2 + 4*w + 3. Let i(s) = 2*b(s) + z(s). What is the tens digit of i(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -21441, -2\/3, 11?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1638 and 665.\nAnswer: 155610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2487, 19818, 66871, 158508, 309591, 534982, 849543?\nAnswer: 1268136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -12120 (base 3) to base 11\nAnswer: -127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-2)*(1 + 43). Suppose 5*w - w + 52 = 4*d, 2*d - w - t = 0. Factor -d*y**2 + 9*y**4 + 6*y**3 - 6*y + 4*y**5 - 3*y**3 - y**5.\nAnswer: 3*y*(y - 1)*(y + 1)**2*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 - ((1 - -9) + 1). Let p be (15\/2)\/(6\/i). Let c be (12\/(-30))\/(36\/p). Is c not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2078 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*d - 69*d + 7728 = 32*d + 131*d for d.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -128601\/2 + 64301. Factor -1\/4*f**2 - m*f + 1\/4*f**3 + 0.\nAnswer: f*(f - 2)*(f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/1 + 2\/(-6). Which is the third smallest value? (a) 2\/11 (b) -2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 3*h + 1. Let f be g(-2). Suppose -3*n = -f*d + 27, 5*n - 5 = 4*n. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + 46\/4)*(-389)\/(-10582). Let n = 7\/407 - x. Calculate the common denominator of n and 71\/20.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 8*i = -24. Suppose -4*s - s + 109 = 4*d, -5*d + 68 = 3*s. Calculate the remainder when s is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125661 not equal to 4\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8 + 161\/21)\/((-1)\/6). Let h(i) = -4 - i + 128*i**3 + 133*i**3 - 5*i**b - 262*i**3. What is h(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 7.9 (c) -195320\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p - 792 - 3732 = 0. Does 51 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + sqrt(48) + -3 + (sqrt(3) + (sqrt(108)\/sqrt(3))\/sqrt(12))**2.\nAnswer: 5*sqrt(3) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 777, 1554, 2329, 3102?\n\"Answer: -n**2 + 780*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1774.849mg?\nAnswer: 1774849000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f - 10*f - 9*f + 23*f. Let x(v) = -2*v. What is c(x(n))?\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1285, -2850, -4989, -7990, -12141?\n\"Answer: -48*d**3 + d**2 - 1232*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 80748 rounded to the nearest 1000?\nAnswer: 81000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 + 8*v - 8. Let q be n(7). Let u(p) = 1 - 3*p**2 + 4*p**2 + 2 - 4. Let h(m) = m - 1. Give q*u(y) + h(y).\nAnswer: -y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-37696)\/63840 + (-3)\/(15\/(-2))?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25431 and 3248406?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 214508 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 7) in base 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away 1985.42335?\nAnswer: -1985.62335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/89032 and -89\/6966754?\nAnswer: 27867016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r. Let f(u) = 219*u + 5. Calculate a(f(h)).\nAnswer: -219*h - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 12*f**2 - 3*f + 22. Let w be s(13). Suppose 151*n = w*n - 8. Calculate the smallest common multiple of n and 41.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1140535, 1140488, 1140409, 1140298, 1140155, 1139980, 1139773?\nAnswer: 1139534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + -4. Let h = j - -6. What is the third smallest value in 3\/5, 1\/3, h?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q**2 + 609*q + 3732. Let z be t(-6). Let p(y) = y**2 + 7*y. Let d be p(-7). Solve -z*r - 18 = -d*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (120\/(-6) - -15)*(-1)\/(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + 3*i**2 - 9*i - 8. Calculate m(3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**2 + u**2 + 2*u**3)*(1667 + 595*u - 1667 + 233*u).\nAnswer: 1656*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*j + 9*g = 5*g + 1357, -10*j + 14*j = -2*g - 72 for j.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 9992500 divided by -14275\nAnswer: -700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hl when two letters picked without replacement from {q: 3, x: 1, l: 6, t: 1, h: 1, m: 1}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 13 = -3. Find the second derivative of v**x - 2*v**4 + 4*v - 3*v wrt v.\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**2 - 5*w + 2. Calculate c(5).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 + 6*r + 2. Let a be g(6). Let s(h) = 7*h + 7*h**2 + 4*h + 17*h**2 + 2*h**a - 11. Let f(q) = 5*q**2 + 2*q - 2. Give -11*f(z) + 2*s(z).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w - 26*w + 154 = 0. Suppose -w*x = -95 - 334. Calculate the remainder when 97 is divided by x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 2, -3\/4, -0.01, -674?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (60\/45)\/((-601)\/(-12621))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-134)\/60 + ((-432)\/(-30) - 12))*408\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20 + 75*x - 107*x - 4 - 106*x as z*x + b and give z.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 2009 + 531 = -2*v, 5*q + 3*v = 2565. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h + 3. Let n be 2 - (-4 + -3 + 2). Suppose 0 = 4*f - 4*g - 8, -5*f - g - 2 = -0. Let y(b) = -32*b + f + 34*b + 7 - 2. Calculate n*p(z) - 4*y(z).\nAnswer: -z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 - 28. Let o be 3\/((-6)\/y - 0). Solve -o*f = -3*f - 2, -10 = -z + 3*f for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2 - 54*q - 120.\nAnswer: 3*(q - 20)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5*f + 0*f + 6 = 0, 0 = 2*v - 4*f + 2. Suppose t - 20 = v. List the prime factors of (-2)\/9 - (-114)\/t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0090174 - -0.009. What is a rounded to 6 dps?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 4*z + 2*z)*(0*z - z - 5*z)*(2*z + 2*z - 2*z).\nAnswer: -84*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27 by 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -3*q**3 + q**2 + 36*q + 32. Does 17 divide l(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 143, 101, -17, -211, -481, -827, -1249?\nAnswer: -1747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + 5*c - 11. Calculate p(-11).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -82*m**3 - 983*m**2 - 323*m - 4023. Determine q(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) - -2*sqrt(33))\/sqrt(3)*-3 + -5*-1*sqrt(704).\nAnswer: 31*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3255\/(-2852))\/35*(32\/6)\/(-4)?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000112 rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 134 (b) 0.2 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (54\/72)\/((-2)\/(-8)). Is 556\/p - (4 + 40\/(-15)) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*g + 7*g. Suppose -g*q - 4*j + 2 + 30 = 0, -j = -4*q + 19. Factor 9*y - q*y**3 - 45*y + 120*y**2 - 94*y**3.\nAnswer: -4*y*(5*y - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -3 + (-2*sqrt(300))**2 - (sqrt(63)\/(sqrt(3)*-1))\/(sqrt(343) - (sqrt(343) + -2*sqrt(343))).\nAnswer: sqrt(3)\/14 + 1192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 5*t**2 + 760*t - 770. Give g(-153).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 875?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.427 and 287.63485501?\nAnswer: 286.20785501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*-3*sqrt(114))\/(sqrt(60)\/(sqrt(50)\/sqrt(5))))**2 - ((-2*sqrt(95) - sqrt(95))*-6 - sqrt(95))\/(sqrt(500) + sqrt(500) + -3*sqrt(500)).\nAnswer: 17*sqrt(19)\/10 + 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 35518680 divided by 986630?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 125705 or 125693?\nAnswer: 125705","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3039 and 1441499?\nAnswer: 1013","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3c2dc - -1?\nAnswer: -3c2db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 69 and 258.\nAnswer: 5934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n + 2. Let z be d(3). Suppose 147 = 3*c + c + z*j, 5*c = -3*j + 174. Let o = -39 + c. Let v(h) = h + 7. Let p(a) = -a - 8. Give o*v(b) - 5*p(b).\nAnswer: -b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 4*f - 66. What is the remainder when (-4 - -1)\/(6\/(-56)) is divided by b(19)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + (3\/1 - -1). Solve j*r - 7*r - 5 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f**2 - 137*f + 4*f**2 - 8 - f**2 - 1153*f.\nAnswer: -2*f**2 - 1290*f - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(325))**2 + -5)*-6.\nAnswer: -1920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166*s = 167*s - 100. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 752 = 49*z - 718 + 1519 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2 + 5314*h + 299649.\nAnswer: (h + 57)*(h + 5257)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -49 + 56. Suppose 35 = -3*h - m. What are the prime factors of (-1308)\/h - (-18)\/(-42)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3883523535 to the power of 1\/3, to the nearest integer?\nAnswer: 1572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r + 30. Let m be g(-10). Suppose m = 3*s - 10 - 32. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26268 greater than 26268?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (3 - 0) + 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 218\/35 + -34\/5. Let h be (138\/5)\/6 - 5. Which is the fourth biggest value? (a) 3 (b) h (c) 0.3 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -2*c - 416, 0 = -3*c + 5*c + 3*a + 418. Is (3\/(-4))\/(3\/c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, g: 3}. What is prob of picking 1 g and 1 y?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/2*-1*0\/(-4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) 15\/8 (b) -3 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27957, -55909, -83861, -111813, -139765?\nAnswer: -167717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 4*c**3 - 2*c**2 - 2*c. Let b(z) = z**2 + 12*z + 1. Let a be b(-12). Let h(v) = v**2 + v. What is a*q(j) + 2*h(j)?\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - v**2. Let j(a) = a - 1. Let t be j(-2). What is the tens digit of o(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sysyslysyy. What is prob of picking 1 s and 1 y?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3970358*g**5*z + 2*g**2*z + 2*g*z + 312*g - 27245*z wrt g.\nAnswer: -79407160*g**3*z + 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llllelllel. Give prob of picking 2 e.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - -3) + 1\/(-5). Let f = -10 + 9. What is the nearest to w in 4\/9, -5, f?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 168 and 192143?\nAnswer: 4611432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -1. Let u be (56\/t)\/(1\/(-3)). Let a = -227\/8 - u. Is a at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1264\/385 - -8\/55. Suppose -18\/7*q**2 - z*q - 8\/7 = 0. Calculate q.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 424.93 - 425. Which is the second biggest value? (a) -0.1 (b) -2\/9 (c) i (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30588751 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*r + 28\/3*r**3 + 4*r**2 + 4\/3*r**5 + 20\/3*r**4 + 0.\nAnswer: 4*r**2*(r + 1)**2*(r + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33 and 1188?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4285 + 4288. Is 13\/24 at least b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1920, -23, -2, -5.\nAnswer: -23, -5, -2, 1920","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.4 times -3?\nAnswer: 28.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-18))\/(55\/(-154)).\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**4 - 10*d**3 + 2*d**2 + 42*d - 36 = 0. What is d?\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12372 + -8849. List the prime factors of x.\nAnswer: 13, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -1, 2, -2 in decreasing order.\nAnswer: 2, 0.2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 9*s**2 - 3*s - 8. Let l be v(-9). Let t = 2 - 1. Suppose 5*q - t = l. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 1151*j**2 - 11*j - 64. Let v be p(-8). Suppose b + 3*d = v, 4*b - 25*d - 294816 = -21*d. Round b to the nearest 1000.\nAnswer: 74000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 1 - (-22 - -13 - -13).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 104139 divided by -513?\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2499 divided by 9680?\nAnswer: -2499\/9680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -21*t**2 + 463*t - 844. Give a(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -4*c**3 + 2*c**2 - 3*c + 3. Let l be s(2). Is 12 a factor of -2*l\/6 - -3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-4)*(-64)\/(-6). Suppose 2*x - 6*x = -o. Put 0.2, x, 0 in decreasing order.\nAnswer: x, 0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(26)\/sqrt(2) + -4 + sqrt(104)\/(sqrt(64)\/sqrt(8))).\nAnswer: -8*sqrt(13) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1950917 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1736?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - 3. Let t(k) be the first derivative of -5*k**2\/2 - 24*k + 6. What is the tens digit of t(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -13375939.85 and -332928.\nAnswer: -13708867.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28813*z**2 - 55282*z**2 + 29160*z**2 + 6538*z**3 wrt z?\nAnswer: 39228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-6) + 1)\/((-14)\/(-126)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 - 6*p**2 - 6*p + 6. Let u be r(6). Let t be 2*1*u\/(-12). Suppose -21 = -2*z - t*c, -4*c = 4*z - 6*c - 78. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 63*u + 841. Calculate j(-13).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700) + -2 + -2 - -2*(0 + sqrt(700))) + 0)**2 + 2.\nAnswer: -240*sqrt(7) + 6318","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u**2 - 2*u**2 - 4*u**2 + (-6 - 3 - 5)*(1 + 1 - 4)*(9*u**2 + 4*u**2 + 3*u**2) to y*u + d*u**2 + p and give d.\nAnswer: 445","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -362899.432 rounded to the nearest 10?\nAnswer: -362900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1975811 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - 2*l + 4*l)*(-6484*l**3 + 6989*l**3 - 13364*l**3)*(l + l - 3*l).\nAnswer: 12859*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*p**2 + p**2 + 194 - 98 - 99 - 2*p to the form a*p + l*p**2 + f and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -11507.431 times -2.7?\nAnswer: 31070.0637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/77 and 163\/336?\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((2534\/(-1448))\/((-1)\/4))\/((-45)\/5)\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 58531467 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -4*f**4\/5 + 35738*f**3\/5 + 1958882*f**2\/5 + 6471774*f\/5 + 2750634\/5 = 0?\nAnswer: -51, -3, -1\/2, 8989","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -5*d - 2*n, n = 3*d + 16 - 0. Let c = 62 + d. Is 14 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124 minutes after 2:21 PM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Solve 10827 = 340*y - 6914 - 2999 for y.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -59923468 divided by 11?\nAnswer: -5447588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*h - 7 + 0 - 167*h**3 + 7 + 165*h**3.\nAnswer: -2*h**3 - 13*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8.2 - -2.1. Let q = d - 11. Round q to 1 decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 5:17 PM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 - t**2 + 5 + (-1 + 0 + 2)*(-689 - 683 + 2056 + 68712*t**2 - 684).\nAnswer: 68711*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -251*-4.\nAnswer: 1004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, v: 5, z: 1}. Give prob of sequence qvvq.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4648 = 19*q - 12*q. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8130 - 3739. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5450 (base 6) to base 11\nAnswer: -a40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4699 - -36086?\nAnswer: 31387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2 (b) 3 (c) -0.5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1420665124.\nAnswer: 2, 355166281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -164070775 + 25 + (1 - -1*5). Let w = h + 99070744. What is w rounded to the nearest 1000000?\nAnswer: -65000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -93.74 rounded to zero decimal places?\nAnswer: -94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1984 divided by -41\nAnswer: 1984\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -59 - -67. Suppose -b + r = -49. Is 11 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/6*(-36)\/630.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110001100010111000011 (base 2) to base 13.\nAnswer: 44ac5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**2. Let d(j) = 416*j**2. Give m(d(t)).\nAnswer: 346112*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 3*r + 2 - 3 - 1. Let d(i) = -i**2 - i - 2. Let b be d(0). Calculate c(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -352*t - 686*t - 473*t - 4 + 336*t + 5.\nAnswer: -1175*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - (-6)\/(1 + -1 - (-9 - -10)). Let d(b) = 21*b + 125. What is d(c)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2108346759.\nAnswer: 3, 1063, 73459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48165, 48168, 48171?\nAnswer: 48174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00146 to 4 dps.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(4*3\/(-6)). Let k = 5 - q. What is the third derivative of 9*l**5 - l**2 - 8*l**k - 5*l**5 + 3*l**2 wrt l?\nAnswer: -240*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 4*o = 0. Suppose o = -z + 2. Let g be z*-2 - (5 + -2). Which is greater: g or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 AM and 3:27 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rm when two letters picked without replacement from {r: 3, m: 1, t: 4}.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 2 = 2*x + 2, -1028*n + 50 = -1023*n + 5*x for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 58653.78 from -2.\nAnswer: -58655.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 + 10 = -8*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 795?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-16))**(-2\/57)\/((y**11\/y)\/(y*y*y\/(y**(1\/9)\/y))) assuming y is positive.\nAnswer: y**(-955\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 0.1, 202, 4.1, -0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 2, -4, -14, -28, -46?\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + 36*h - 405. What is v(-45)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 349291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 168 and 288.\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a - 101. Give f(44).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8.1, 0.2, 9, 2\/11, -1\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.3, 0, -9, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21828\/54545 - -2\/10909. Let v = 1 - 1. Which is the nearest to v? (a) -4 (b) 0.5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6978207, 13956415, 20934623, 27912831?\nAnswer: 34891039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 2:38 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -4. Let i = -2377 + 2383. Solve k + r - 1 = 0, -i*k + 3*k + h = -r for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 q when three letters picked without replacement from {u: 1, o: 3, n: 2, q: 6}.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -12 + (4 - 3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(3) + (sqrt(60)\/sqrt(2))\/sqrt(10))*-2 - (sqrt(3) + sqrt(3) + -2 + 4 + 5 + sqrt(12)).\nAnswer: -17 - 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(5) - sqrt(15)\/sqrt(3)) + -3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 412451, 412174, 411705, 411038, 410167, 409086?\nAnswer: 407789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 466.2348 nanometers?\nAnswer: 0.4662348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b\/(b*b**(-4)))))**(17\/5)\/(b**(-2)\/(b*b*b**27)) assuming b is positive.\nAnswer: b**(223\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3608 or 3681?\nAnswer: 3608","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -17*p. Let m(q) be the second derivative of q**4\/6 - 54*q. Calculate m(f(y)).\nAnswer: 578*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v + 55. Let j(i) = -i + 83850. What is w(j(r))?\nAnswer: -2*r + 167755","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12295?\nAnswer: 5, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1439\/3 - -480. Let j = 0.2 + -0.4. Which is the nearest to s? (a) -1\/17 (b) 3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-1)\/5 - (-4420)\/22100.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 7*b + 4 - b**2 - 9*b - b**3 + 0*b**2 + 2*b**2 - 4*b**2. Suppose -9 = -5*u + 11. Let y = u + -7. Calculate h(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**2 - 2*t - 30. Let z(s) = 6*s**2 - 5*s - 90. Calculate -11*d(h) + 4*z(h).\nAnswer: 2*h**2 + 2*h - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v - 612 = 3*v. Let t = v - -68. Solve t = -q + 2 - 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 48 + -45. What is the remainder when 10 is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-40)*r)**(-11) assuming r is positive.\nAnswer: r**429","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a millimeter in micrometers?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one sixteenth of a kilogram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-289)\/1445 - (-234)\/(-40)*-2.\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2989300 rounded to the nearest ten thousand?\nAnswer: -2990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6d5 - -a663?\nAnswer: ad38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.14 (b) -9.947118 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3790843.\nAnswer: 7, 541549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6149873ns to milliseconds.\nAnswer: 0.0000006149873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - 21*t - 116. Let k be f(28). Solve k*p = 81*p - 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5838 and 42?\nAnswer: 5838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 154234 or 2?\nAnswer: 154234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/23 + 2216*m\/23.\nAnswer: -2*m*(m - 1108)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l + 21*l**2 + 5 - 5.\nAnswer: 21*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12577 by -3493.\nAnswer: 12577\/3493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-24)\/(-15))\/((-18)\/(-45)). Suppose 396 = p*c + 4*x, 5*c - x - x = 509. Suppose 2*k = c - 9. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -z - 10 - 45, -5*i + 2*z = -90. Solve 0 = -4*p - 0 - i for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 62.15254mg?\nAnswer: 0.06215254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uzzuzuzzzuzzzzzzzuu. What is prob of picking 3 z and 1 u?\nAnswer: 143\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1723 - 15682 = 517*w for w.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1549, -0.3, 2\/3, 24 in decreasing order.\nAnswer: 1549, 24, 2\/3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 625121 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -267, 1, -21315 in increasing order.\nAnswer: -21315, -267, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*a*k**3 + 12*a*k**2 + 8*a*k*p + 375*k**3*p + 2*k*p + 39*k + 2 wrt p?\nAnswer: 8*a*k + 375*k**3 + 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -345.7 - -344.5. Which is smaller: 97 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 5*s = -1320, 0 = 4*i - 3*s + 140 - 1196. Calculate the greatest common divisor of 594 and i.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 2*b + 1325 - 11553, 0 = 5*z - 4*b - 17050. List the prime factors of z.\nAnswer: 2, 13, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 534476, 1068946, 1603412, 2137874, 2672332, 3206786, 3741236?\n\"Answer: -2*a**2 + 534476*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.9 (b) -5 (c) -1\/3 (d) 5\nAnswer: a","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: 4, a: 1, l: 3, p: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (9 + -3)) + (-4 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 48 = -2*r. Suppose -q + 612 = 4*m, 4*m + 3*q - 620 = -0*m. Let c be m\/36 - 4\/18. Solve 5*d = c*z - r, 4*d = 4*z - 6 - 6 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*h**4 + 11*h**3*t**2 - h + 318*t**2 wrt h?\nAnswer: 8*h**3 + 33*h**2*t**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -22, -19, 4, 59, 158?\n\"Answer: 2*x**3 - 2*x**2 - 5*x - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**3 + 5*u**3 + u**3)*(-3*u - 2*u + 0*u) + (-1 - 3 + 2)*(3*u**4 + 5*u**4 - 5*u**4) - 2*u**4 - 2*u**4 + 3*u**4.\nAnswer: -37*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91 is divided by 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 194*d**3*r + d**3 + d*r**4 - 2*d*r - 481*d with respect to r.\nAnswer: 194*d**3 + 4*d*r**3 - 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 58.3 (b) -0.5 (c) 4 (d) -5\/6 (e) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 13. Let o(i) = i**3 + 3*i**2 - 3*i + 2. Let r be o(-3). Solve -r = -j - 5*k, -j - 3*k + m = -0*k for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10656 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -8 + 26. Let c be 4\/8*0 + f. Let t(a) = 23*a + 43. Does 31 divide t(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i - 8*i + 10*i - 52*i**3)*(11 - 8 + 12).\nAnswer: -780*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30 + -16 - 27) + 22.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**3\/3 - 6*f**2 + 72 = 0.\nAnswer: -6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 36*q**2 + 1234*q - 1234*q + (q - 4*q + 4*q)*(q - q - q) in the form y + v*q**2 + g*q and give v.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -86836402 - 3?\nAnswer: -86836405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 + 0)*(-3*b + b - 11*b) + 2*b + 2*b + 0*b to l + w*b and give w.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -316 + 340. Which is greater: 76\/3 or h?\nAnswer: 76\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 4746112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 134, 533, 1148, 1937, 2858, 3869, 4928?\nAnswer: 5993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -239 or -3123\/13?\nAnswer: -3123\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13346 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 4*s - 19 = -39, d - 4*s = -10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -j**4\/6 + 51584*j**3\/3 + j**2\/2 - 154753*j\/3 + 103168\/3 = 0.\nAnswer: -2, 1, 103168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2101 - 7493 = -369*d + 4202 for d.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 118*y + 3907. Determine t(-33).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of j**5\/15 + 4*j**3\/3 - 6*j**2. Differentiate s(q) with respect to q.\nAnswer: 8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -15268, -30569, -45910, -61297, -76736?\n\"Answer: -o**3 - 14*o**2 - 15252*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of -31*l**8\/336 - l**4\/4 + 3*l**2 + 10. Let q(v) be the second derivative of m(v). What is the second derivative of q(j) wrt j?\nAnswer: -620*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5499 a multiple of 141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b + 3*b - 5*b. Let q(c) = -2*c. Calculate q(t(y)).\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 15154266 to the power of 1\/3, to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 316 divide 83253676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 4043*k + 2831. What is the ten thousands digit of r(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of g**8\/3360 - g**7\/1260 - g**6\/720 - g**5\/60 - g**4\/24 + 3*g**2. Let w(r) be the second derivative of y(r). Calculate w(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 5. Suppose 0 = -w*k + 6*k - 8. Let 3*g**4 + 39 + 3*g**3 - 3*g - 3*g**k - 39 = 0. What is g?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/10 + (-1)\/(-2). Is (-4 + -4)*y\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 790994588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*h**4 + 7529*h**2 + 749435*h wrt h?\nAnswer: 156*h**2 + 15058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 12 = -d - 2*s, -2*d = -5*s - 18. Suppose d*m = 12*m. Suppose 2*g - 25 - 81 = m. What are the prime factors of g?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 6962?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 8430, 16771, 25112, 33453, 41794?\n\"Answer: 8341*u + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1308810 divided by -1\nAnswer: 1308810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + -1)\/((-8)\/36). Let k(g) = 54*g + 12 + 10 + 6 + 0 + 47*g. Is k(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - 5*y**2 + 2. Let x be b(5). Let v(t) = -t**2 - 6*t + 3. Let p be v(-6). Let a = 21 - 13. Solve -3*h + o = -a, -h + x*o + 8 = p*o for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 1. Let h = 0.3 - l. Let v = 29 - 27. Which is the nearest to -0.1? (a) v (b) -0.1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 2*p**2 + 6*p - 3. Let t be m(-5). Let n = t - 4. What are the prime factors of n?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3109 + 766 = -860*z - 3005 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + 0)*36\/(-9). Let u be 9\/(-11) - (z - 5). Let y be (4\/6)\/(36\/(-27)). Which is the closest to y? (a) u (b) -2\/13 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2623 and 244?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2582202 and 2646?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 239187 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvkvvvkkvkvkkkvkkvv. Give prob of sequence kkv.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*h**2 + 139*h**2 - 27*h - 65*h**2 - 49*h + 11*h.\nAnswer: 2*h**2 - 65*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4591829223 to 5 dps.\nAnswer: -0.45918","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000862828025 rounded to seven decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1017 - -1044. Calculate the greatest common factor of 225 and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -148*d - 913. Let w(v) = 112*v + 912. Give -3*f(t) - 4*w(t).\nAnswer: -4*t - 909","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -60144000 divided by -187950\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 0 - (1 + 9 - 10).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -16*p. Let m(n) = -17*n + 4974. Calculate m(z(l)).\nAnswer: 272*l + 4974","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/520 and -19\/44720.\nAnswer: 44720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -2*t**4\/3 - 218*t**3\/9 + 154*t**2\/9 + 218*t\/9 - 148\/9 = 0.\nAnswer: -37, -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**3 + 2*a**3 + a + a**3 to c*a + l*a**3 + z*a**2 + d and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/3*35\/(-21)*-8*420\/2400?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**2 + 0*d**2 - d**2)*(-498814 - 17*d + 498814 - 7*d**2).\nAnswer: -14*d**4 - 34*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 363 + -328. Suppose l + u*l + 503640 = 0. Round l to the nearest 1000.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q*q\/(q**(-4\/5)\/q))\/q)\/q*q**(-12)\/q)\/(q**12*q)**16)**29 assuming q is positive.\nAnswer: q**(-31784\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 - 6*m**2 + 29*m - 21. Let s be n(9). Calculate the highest common factor of 819 and s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, p: 1, f: 1, r: 2}. Give prob of picking 1 f and 3 x.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -d + 45. What is the highest common divisor of 9 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - n - 33, 11 + 4 = 5*n. Suppose 8*k + 8 = p*k. Let g(h) = h**2 - h + 18. List the prime factors of g(k).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 - 6 = 3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/7)\/((g\/g**(5\/6))\/g))\/((g\/(g\/g**(1\/3)))\/(g\/g**(-2\/13))) assuming g is positive.\nAnswer: g**(353\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y. Suppose -24*x + 87 = 15. Let h(g) be the second derivative of 11\/6*g**x + 0 + 0*g**2 + 8*g. What is h(w(v))?\nAnswer: 11*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -3. Solve l + 7 = 4*w, x*l - 30 = w - 8 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 134540*0.5.\nAnswer: 67270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2440 and 74420.\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 5:18 PM?\nAnswer: 8:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*3*90\/54?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73, 69, 75, 97, 141?\nAnswer: 213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (18*k**3 + 18*k**3 - 46*k**3 + k)*((-9 - 28 + 3)*(-4 - 3 + 5) + 3 + 2 - 7) in the form c + n*k**2 + s*k + o*k**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 6, 5, -1, 8, -85 in increasing order.\nAnswer: -85, -1, 1, 5, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 1015181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) -3 (c) 17\/2 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(((-27)\/(-108))\/(7\/4)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303874 is divided by 92?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 21\/4019566 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -10*m**3 - 7. Let s(q) = -q**3 - 16*q**2 - 4*q - 11. Let a(w) = -4*w**3 - 44*w**2 - 11*w - 31. Let x(t) = -4*a(t) + 11*s(t). What is 7*x(j) + 3*y(j)?\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11750*u + 1973*u + 26 - 30.\nAnswer: 13723*u - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-27*12\/(-459))\/6\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.249402 or 2.7?\nAnswer: -0.249402","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4966 times 16109?\nAnswer: 79997294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 PM and 7:56 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28 - 60. Let u = 9 - s. Let d = u - 39. What is the second biggest value in d, -1\/2, 25?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1748*h - 722*h + 588*h to the form u*h + z and give u.\nAnswer: -1882","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/3 - 88*k\/3 - 968\/3.\nAnswer: -2*(k + 22)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 2, 1, -5, -509, -4 in increasing order.\nAnswer: -509, -20, -5, -4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1959391034?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 236 a factor of 93941680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 PM and 3:28 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pipiiippppiiipiiippi. What is prob of sequence ippp?\nAnswer: 77\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5 + (4 - -532)*2. Suppose 0 = g + 2*o - t, 0 = -2*g + 3*g + 4*o - 1069. Suppose -1409 = -2*w + g. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -94c - -4?\nAnswer: -948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26249 is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of 0*y**6 - 100 + 106\/7*y**7 - 94\/3*y**3 + 0*y**4 + 0*y + 0*y**5 + 0*y**2. What is the third derivative of z(m) wrt m?\nAnswer: 12720*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4766462963 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five quarters of a microgram in nanograms?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-29*g**3 - 33*g**3 - 10*g**3)*(-3 + 10 - 4 + 7) - 3*g**3 + 7*g**3 - g**3 as a*g**3 + k*g + t + f*g**2 and give a.\nAnswer: -717","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2398, 4668, 6796, 8788, 10650, 12388, 14008?\n\"Answer: q**3 - 77*q**2 + 2494*q - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11110011100101101 (base 2) in base 12?\nAnswer: 60211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3525 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of 4*w**2 - 2*w + 72. Let o(m) = m. Give 3*o(d) - s(d).\nAnswer: -5*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -164265360 + -51?\nAnswer: -164265441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a**2\/7 + 9018*a\/7 + 469476 = 0.\nAnswer: -882, -621","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -9*x + 5. Let v be 1\/(2\/(2*x)). Let n = -293\/1984 + 7823\/5952. Sort -5, 2\/13, v, n in decreasing order.\nAnswer: n, v, 2\/13, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 3*y - 45, 3*y - z - 72 = -5*z. Let j(x) = -3*x**2 + 77*x - 320. What is the smallest common multiple of y and j(20)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s**2 - 2*s**3 - 8761260*s + 0*s**2 - 21*s**3 + 8761260*s.\nAnswer: -23*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -46241*b**3*g**3 - 3*b**3*g + 41755*b**2*g**3 + 4*g wrt b.\nAnswer: -277446*g**3 - 18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 4:34 AM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 125 - -b?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((13200\/1375)\/(16\/5))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 253021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 10*v**2 + 22*v + 3. Let c be r(-3). Let k be (c - 9)*((-21)\/6)\/(-7). Solve -5 = -3*l + 4*s, 0 = l - 2*l + 5*s + k for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of -3*c**2\/2 - c + 2. Calculate i(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + 1186*u + 60514. Give p(-49).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*g + 3*g + 37*g - 1188 = 0. Let t(j) = 8*j**2 - 2*j - 1. What is the smallest common multiple of t(-1) and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 356549?\nAnswer: 356549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -ca?\nAnswer: -c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -138, -116, -76, -18, 58, 152?\n\"Answer: 9*o**2 - 5*o - 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - 9. Let b = 1 + v. Solve -b*a + 2 + 14 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6.8, -729, 1 in decreasing order.\nAnswer: 1, -6.8, -729","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29637330*j**4 + 17*j**2 - 1371116?\nAnswer: -711295920*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*f + f - f)*(-428*f + 639*f - 315*f)*(4*f + 0*f - 5*f) in the form l*f + a*f**2 + y*f**3 + x and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1114 + 2202 + 1903 + 1472)*(-z + 3*z - 6*z) to the form w*z + l and give w.\nAnswer: -26764","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jh when two letters picked without replacement from {r: 1, h: 1, g: 3, d: 1, j: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 11:04 PM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**(-1\/12)*k)*k\/k**(-9\/8))\/(k**(-5\/2)*k*k*k**(-5)*k))**(-34) assuming k is positive.\nAnswer: k**(-2737\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -2*f**3\/3 + 34604. Let u(j) = -116*j**2 - 10*j. Let o(a) = 23*a**2 + 2*a. Let d(h) = -16*o(h) - 3*u(h). Calculate v(d(y)).\nAnswer: -800*y**4 - 160*y**3 - 8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 30*a**2 - 3*a + 2. Calculate the remainder when 66\/10*(36 + 1 + -2) is divided by c(1).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.1 - 1.9. What is the nearest to 0.1 in b, 0, -2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16 + 11062?\nAnswer: 11111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -0.06 (b) 0 (c) -4 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -606*b**2. Let p(z) = -3*z. Give p(h(o)).\nAnswer: 1818*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 a factor of 125420852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1816377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/3*126\/(-21).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - q + 221, -3*c - 180 = q - 41. Let v be ((-18)\/c)\/(12\/(-10)). Are v and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 3:07 AM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117) + -2 + sqrt(156)\/sqrt(1728).\nAnswer: -2 + 37*sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 3*u**4\/4 + 585*u**3\/8 + 6753*u**2\/4 - 9225*u\/2 + 1875 = 0.\nAnswer: -50, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 4 = -11*n + 15*n, n + 2*k = -1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i + i - 4*i - 4*i. Let z(f) = -25*f - 188. Let w(g) = -21*g - 158. Let m(x) = 6*w(x) - 5*z(x). What is u(m(o))?\nAnswer: 6*o + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -130 - -167. Calculate the remainder when 68 is divided by b.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0432875801 rounded to 4 decimal places?\nAnswer: -0.0433","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 25144534 (base 6) to base 14\nAnswer: 170238","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18.646 + -19.1752. Which is the third biggest value? (a) 0.1 (b) v (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4292712 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5dc (base 14) in base 7?\nAnswer: -3265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -1178*n**3 - 8*n**2 - 1644. Let v(l) = 2358*l**3 + 14*l**2 + 3281. Let t(b) = 7*q(b) + 4*v(b). Differentiate t(h) wrt h.\nAnswer: 3558*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 - 0.4. Which is the nearest to -11? (a) v (b) -0.1 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of 59*n**4\/4 - 2*n**3\/3 + 2*n**2 - 6*n + 17. Let g be k(3). Is (-8)\/20 - 2*g\/(-30) a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1*(-9)\/(-3))\/((-3)\/(-4)). Let n(y) = 26 + y - 4*y**3 - 27 - 4*y - 5*y**2. Let r(k) = 5*k**3 + 6*k**2 + 4*k + 1. Determine v*n(f) - 3*r(f).\nAnswer: f**3 + 2*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 + 105 + 0 + 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8981 != 8981?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -4*p**2 - 83*p - 62. Determine c(-20).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 10, -7, -60, -167, -346?\n\"Answer: -3*t**3 + 4*t + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57841300?\nAnswer: 2, 5, 11, 52583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 + 62. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 75751 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 7:15 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1430403?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7063.\nAnswer: 7, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 10*i**2 + 11. Let w(c) = 23*c**2 + c. Let f be w(1). Let x = f - 14. Calculate the least common multiple of 5 and g(x).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -1. What are the prime factors of 764 + w - 6*(-6)\/(-36)?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/28*18\/(-99)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express f**2 + 29*f - 25*f - 3*f**2 in the form i*f + y*f**2 + r and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 141, 4?\nAnswer: 141","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 0*z + 9 = 0. Put z, -4, 10 in ascending order.\nAnswer: -4, z, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14\/9 in -10, -2, -0.3, 3\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6045.\nAnswer: 3, 5, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 450*w**3 - 6*w**2 + 7*w + 3. Is u(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -65 + 116. What are the prime factors of t?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -3*j**2 - 32*j - 18. Give t(-16).\nAnswer: -274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 78 - (-3 + 0)\/(-6)*2. Let j = -74 + g. What is the third derivative of 14*f**3 + f**j + 9*f**3 + 7*f**2 - 6*f**3 wrt f?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(((-48)\/(-30))\/((-12)\/(-6)))\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2*r + 96 = 0. Let j(k) = 9*k**2 - k - 2. Let l be j(-1). Calculate the highest common factor of r and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1814226, 3628464, 5442702, 7256940, 9071178, 10885416?\nAnswer: 12699654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -z - 4*i, -3031*z - i = -3011*z + 215 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) + 1)**2 + sqrt(80) - (1*sqrt(180) + sqrt(5))) + -1.\nAnswer: 5*sqrt(5) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -2, -3, -0.0254?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 43a - -5?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19*-2.8.\nAnswer: 53.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 313 = -5*m - 2*c, -3*m - 3*c - 195 = 0. Let x = -29 - m. Does 16 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = b. Solve -3*l - 4*a = -0*a - 35, -2*a + 10 = b for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -69290?\nAnswer: 69288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q, 3*g - g + 4*q + 36 = 0. Is -55\/3 != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of 15*o**2 - 17\/6*o**3 + 0*o + 1\/60*o**5 - 3\/8*o**4 + 0. What is the units digit of y(12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a17220 - 35?\nAnswer: -a17255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**2 + 0*g**2 + 30 - 32 + g**4 + (842*g - 2419*g + 265*g)*(2*g**3 - 3*g**3 + 3*g**3).\nAnswer: -2623*g**4 + g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 264 - 265. Which is the second biggest value? (a) -0.3 (b) u (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -24618830 or -24618837?\nAnswer: -24618830","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/6)\/v)**15*(v\/((v**(-1)*v*v)\/v))**49)**43 assuming v is positive.\nAnswer: v**(3139\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 514977991 and -458.942?\nAnswer: 514978449.942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 52373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4387*o - 4247*o - 28048*o - 4444*o - 16694*o.\nAnswer: -49046*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x**3 - 7*x**2. Let s(j) = 10*j**2 - 3*j**3 + 5*j**3 - 2*j**2. What is -5*b(r) - 4*s(r)?\nAnswer: 2*r**3 + 3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - -3)\/(0 + 2). Solve -2*w = 4, h*o + 1 = w + 3 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -76, -237, -484, -817, -1236?\nAnswer: -1741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1692, -4, -67 in decreasing order.\nAnswer: 1692, -4, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 - 14 = -2*q + 5*f, -2 = -f. Suppose 3*n - 5*x = 60, -7*n + 2*n + 113 = -4*x. Calculate the remainder when q is divided by 295\/n + (-1)\/(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -112220\/23 + 4878. Let i = x - -1537\/1380. Find the common denominator of i and 97\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -30 + 52 + w - 8 - 2. Give s(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ko when two letters picked without replacement from {k: 4, n: 1, u: 1, o: 1, g: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = n - 4*v, 43 - 27 = 2*n - 2*v for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q. Suppose 2*f - 59 = -5*i, 0 = i - 4*f + 5 - 30. Suppose -i = -5*v + 7. Let t(l) = v + 15*l - 6 + 2. Calculate t(a(g)).\nAnswer: 30*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 7004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + 15. Let m = -16 + g. Is m <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 6*f**2 + 2*f + 4. Calculate the remainder when 45 is divided by v(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 9 + 0 = -3*s, 5*l = -4*s + 6 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(102)\/(sqrt(6) - sqrt(42)\/(2*sqrt(7))).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3439, 3231, 3023, 2815, 2607?\nAnswer: 2399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 13*w - 8. Let q(p) = -p + 1. Let n(l) = -24*q(l) - 3*t(l). Calculate n(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of 5*i**2\/2 + 13. Let w(g) be the third derivative of g**4\/12 - 7*g**2. Calculate h(w(v)).\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 323910765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 9. Let k be (-2)\/(-4) + (-50)\/u. Let o = k - 2. What is the remainder when 31 is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(2) + (sqrt(70)\/sqrt(5))\/sqrt(7) + -3).\nAnswer: -6*sqrt(2) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4502747 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37377072*s**3*w**2 - 427*s**3*w + 1469*s*w wrt w.\nAnswer: -74754144*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 923*s**2 + 878 wrt s.\nAnswer: 1846*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -154.885 + 155. Let b = v - -0.385. Sort b, -4, -2 in decreasing order.\nAnswer: b, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of -n**6\/20 - n**5\/15 + 3*n**2\/2 + 6*n. Let c(x) be the first derivative of w(x). Find the third derivative of c(q) wrt q.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17 and 92089.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11101111 (base 2) to base 14.\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 10:47 PM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-504)*14)\/(7\/(-210))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - sqrt(14)\/(sqrt(2)*5)) + -5 + 4 + sqrt(7) + ((sqrt(1008) - (sqrt(1008) - (3 + sqrt(1008))))*-2 + 3)**2.\nAnswer: 729*sqrt(7)\/5 + 4040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 2*h - 8. Suppose 0 - 4 = -h*g. Let p be 16\/(-18)*(-17631)\/13060. Which is smaller: p or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 88474407?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-28)\/21*9\/2. Let m(i) be the second derivative of i**3\/6 + i**2\/2 + 5*i. Determine m(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223869456 divided by 18655788?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23988853, -47977722, -71966591, -95955460, -119944329?\nAnswer: -143933198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 766 - 70 = -6*a. Let r = -72 - a. Find the common denominator of 3 + (-50)\/r - -3 and 7\/160.\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tteeteetttte. Give prob of picking 2 e.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120211001 (base 4) to base 13.\nAnswer: -36a91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 - 9*j - 7. What is the remainder when 52 is divided by f(11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5405, 10736, 16005, 21218, 26381, 31500, 36581, 41630?\n\"Answer: m**3 - 37*m**2 + 5435*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/11, -2\/55, 5 in ascending order.\nAnswer: -3\/11, -2\/55, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 18147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -516, -508, -494, -474, -448?\nAnswer: -416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 52*z + 49*z - z**2 + 7 - 102*z to the form n*z + t + d*z**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -4*g. Suppose 4*b - 9*b + 215 = g. Factor 70*v**3 + 8*v**2 - b*v**2 - 43*v**2 + 8.\nAnswer: 2*(v - 1)*(5*v - 2)*(7*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/5 + 25092*w**2\/5 + 50176*w\/5.\nAnswer: 2*w*(w + 2)*(w + 12544)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -426*q + 7937 = -1861. Solve 83 = q*w + 221 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -242*g**2 - 158488*g - 25948808.\nAnswer: -2*(11*g + 3602)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(1\/3)*l**(-9)*l assuming l is positive.\nAnswer: l**(-23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f. Let m be l(0). Suppose m = 4*y - 5 - 75. Solve -2*s = -3*w + y, 3*w - 18 = 5*s + 14 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/4 of a day?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 + 0)*(-1 - 3 + 6)*(6*y - y - 2*y) as u + k*y and give k.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2226030 rounded to the nearest one thousand?\nAnswer: 2226000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, -69, -226 in ascending order.\nAnswer: -226, -69, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25654 - 12*v - 25656 + 51310 - 7*v.\nAnswer: -19*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 + -30. Let z be 16\/(-10)*(-1)\/2. What is the third smallest value in z, 1\/3, q?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -6838*s**2 + 16*s - 78. Let l(g) = 41027*g**2 - 97*g + 468. Let k(i) = 3*l(i) + 19*o(i). Find the second derivative of k(u) wrt u.\nAnswer: -13682","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/5))**(-47)\/((c*(c\/c**(-5))\/c)\/((c\/(c**(1\/7)*c))\/c)))**(3\/10) assuming c is positive.\nAnswer: c**(612\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3315104 (base 6) to base 9.\nAnswer: -272274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34 + 34. Let r be d + 2 + (-28)\/13. What is the third biggest value in r, 2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d + 12. Calculate v(21).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11972, -11877, -11782?\nAnswer: -11687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 6*r. Let v(s) = s + 2242. What is v(d(u))?\nAnswer: 6*u + 2242","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -139075*s**5 - 203139*s wrt s?\nAnswer: -2781500*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 - -11. Let r(f) = -6*f**2 + 4 + 7*f**2 + 0*f + f. Let k be r(q). Is k equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-6)*(-22)\/((-220)\/15)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -129 + 43 + -53 - (7 + (-11 - -6 - -8))?\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of 7*y**6\/40 - y**5\/20 + y**4\/12 - 52*y**3\/3 - y**2 + 8*y. Find the second derivative of f(z) wrt z.\nAnswer: 126*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 5:47 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 643 - -240. Suppose -37*z + v - 3538 = -41*z, v - o = -z. What are the prime factors of z?\nAnswer: 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37141.\nAnswer: 13, 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourty-nine quarters of a hour?\nAnswer: 735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 737859?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -7*y**2 + 37*y. Suppose -3*w = 4*p + 6, -7*w = -3*w + p + 8. Let a(r) = -3*r**2 + 18*r. Let q(u) = w*d(u) + 5*a(u). Factor q(k).\nAnswer: -k*(k - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -11 (b) 2 (c) -2\/11 (d) -4\/17 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 286646 less than or equal to 286644?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -141 times -1?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 2*m + 0 + (-2*m + 1 - 1)*(5 + 2 - 5) + (6 - 1 + 0 + (-2 + 0 + 1)*(6 - 1 - 4))*(-m + 4*m - 6*m) as r*m + v and give r.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2645445 + -3.85.\nAnswer: 2645441.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is two sevenths of a week in minutes?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2 - l + l + 19 + l. Let x = -63 + 44. Let q be p(x). Solve -q*h + 3*g - 9 = 0, -4*h - 3*g = -2*h - 21 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -23 (c) -0.9 (d) -2\/9 (e) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o = 18520 - 63934. Suppose -5*c - 4*f - 6433 = -145, 4*c + o = 2*f. Let j = c + 1943. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of w**5\/3 + 1075*w**4\/24 - 45*w**3 - 218*w**2. Suppose h(k) = 0. Calculate k.\nAnswer: -54, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25.3632 - -0.0368. Let x = -25.5 + h. What is the nearest to x in 3, 0, 0.5, 1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 54 - 56. Let m be (-2)\/((q + (-4)\/3)*27). Is m < 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w. Let q(l) = -869347*l. Determine q(b(s)).\nAnswer: -1738694*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 396271335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3857945 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192092 is divided by 276?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 58.4 times -0.2\nAnswer: -11.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -193629, -193627, -193625, -193623, -193621?\n\"Answer: 2*q - 193631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4394153 is divided by 19883?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 2125252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 11 + 4. Suppose l*i = 4*i. Suppose 127*k + 13 = -114. Is k at least i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 105.1 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of h**4\/12 - h**3\/3 - 9*h**2\/2 - 7*h. Suppose 2*z + 3*f = 22, -4*z = z - 2*f - 36. What is the tens digit of r(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37405 and 80.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -175, -179, -195, -229, -287?\n\"Answer: -s**3 + 3*s - 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u**3 - 235181 + 2*u**3 + 235181.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*p + 0*p - 2*p - p + 4*p - 4*p + (4 - 2 + 0)*(p - 5*p + 3*p) - 2 + 2 - p)*(-10*p - 6*p + 18*p) to m + n*p + u*p**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = w + 4, 0 = 2*w + y + 4*y - 44. Let q be (-9)\/(-2)*16\/w. Suppose -14 = -2*d - q. Solve -h + 5 = d*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of 25*d + 0*d**4 - 1\/42*d**7 + 0*d**2 - 1\/10*d**5 + 2 + 1\/10*d**6 + 0*d**3. Determine b, given that h(b) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4959)\/(-72))\/(-19) + -33 + 37\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**3 + 0*a**3 + 5*a**3 + 2*a**2 - 2*a**3 - 2*a**2 + (a + 2 - 2)*(-2*a**2 - 3 + 3) - 23 + 24 - a**3 + 10*a**3.\nAnswer: 8*a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 58\/(-8) + 8 - 6\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 8*h = 24. Suppose 2*u + 5*n - 211 = 0, -22 = 5*n + 3. Suppose 0 = -h*v - k - k + 466, 0 = v + k - u. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of 10*n**2 - 4*n - 1. Let o be p(7). What is the highest common divisor of 17 and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2373 + -14.\nAnswer: -2387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -398*h**2 + 106*h**2 + 94*h**2 + 97*h**2 + 106*h**2. Let v(j) = -64*j**2. What is v(u(g))?\nAnswer: -1600*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 139 - 33. Suppose 2*w - h = -i, 5*i = 4*w + w - 250. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -65*h - 91. Let y be 1\/(4 + 210\/(-52)). List the prime factors of g(y).\nAnswer: 3, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/1215 (b) -76\/15 (c) -28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15061*z**3 - 45192*z**3 + 15051*z**3 + 15058*z**3 - 253*z to a*z**2 + w*z + o*z**3 + n and give o.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g + 69. Let a(d) = 2*d**2 + 6*d. Let m be a(-4). Suppose 0 = 2*i - m, -i - 30 = -y - 9. Calculate the remainder when y is divided by j(30).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -363*l**3 - 4*l**2 + 8*l. Let r(i) = -227965*i**3 - 2513*i**2 + 5026*i. Determine 2513*a(n) - 4*r(n).\nAnswer: -359*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 99 + -74. What is the highest common divisor of 1 and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-2\/3))\/a)**(15\/2)*a**(-2)\/(a\/(a**(2\/7)\/a))*((a*a*a\/a**0)\/a)**(-1\/34)\/(a**(5\/6)*a**(2\/9)) assuming a is positive.\nAnswer: a**(367\/2142)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, -6, 53315 in descending order.\nAnswer: 53315, -1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -5*t + 4. Suppose 3*y = -5*j + 72, -2*y + 24*j - 22*j + 64 = 0. Let u(a) = 4*a + a - 21 - 30 - y + 75. Calculate 6*k(h) + 5*u(h).\nAnswer: -5*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7d (base 14) in base 8?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2254135?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/2*(-312)\/260.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 5*b - 10 = -1, -2*b - 12 = -s. Let h = 0.3 + -0.2. What is the nearest to h in s, 3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51\/(-13) + (-70)\/910.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + 3*l + 10. Give z(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.7679 - 94474.68.\nAnswer: -94469.9121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 + -20. Let z(a) = -95*a**3 - 2*a**2 - 3*a + 6. Let l(h) = 47*h**3 + h**2 + h - 3. Let d(w) = -5*l(w) - 3*z(w). Is d(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.96 in 2, -8, 1581\/52?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 11. Suppose 0 = 3*u - 4*o - 31, k*u - 2*u + o + 14 = 0. Suppose -u*q = -3*q - 20. Solve 2*p + 0 + q = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m. Let l(p) be the first derivative of -34*p**3\/3 + 19. Calculate i(l(t)).\nAnswer: 34*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - b**2 + 5*b + 3. Let k be c(-3). Let w be (k\/(-12))\/(1\/(-4)). Suppose -w*u - 50 = -4*u. List the prime factors of u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3789251.2 and -3?\nAnswer: 3789248.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 + 58. Suppose -5*v - 4*s = -q, 0*v = v + 4*s + 8. What is the highest common divisor of 18 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + 1)*(1 + 1). Let f = -585 + 587. Let a be (4*(-99)\/(-88))\/(f\/4). Solve h*y - 25 = -a for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dhdhabhhspps. Give prob of picking 1 p, 1 h, and 1 s.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - z**2 - z. Let r(l) = 4*l**3 + 10*l**2 + 8*l - 7. Let d(w) = 5*m(w) + r(w). Calculate d(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3 = 1. Let m be (-3)\/12 + (-30)\/56. Let s = m + 13\/14. Put s, y, 1\/11 in ascending order.\nAnswer: y, 1\/11, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 7) to base 16\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nziz. Give prob of sequence znzi.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 4*j - 50, -8*j = c - 2*j - 20. Let w = -160 + 157. Sort 0, -1, w, c.\nAnswer: c, w, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.09, 10, -4, 0.\nAnswer: -4, -0.09, 0, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7\/4, -0.6, -0.3, 0.0029?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1285*w - 35 = 1290*w for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 8. Suppose 0 = -x*y + 2*y + 10. Calculate the remainder when (1*2)\/((-11)\/(-66)) + -4 is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146333 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117 - 230 - 8*n + 113.\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((sqrt(1088) + 0)**2 - (sqrt(17) - (2 + sqrt(17)) - sqrt(17))*-4))*6.\nAnswer: -24*sqrt(17) + 6468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1285)\/64250*10*2\/(-12)?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -6*s**2. Let i(y) be the third derivative of -y**7\/1008 - y**5\/60 - 2*y**3\/3 + 34*y**2. Let u(n) be the third derivative of i(n). What is u(a(j))?\nAnswer: 30*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 1\/254, -18, -3\/2 in descending order.\nAnswer: 4, 3, 1\/254, -3\/2, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -7*-4*(-3)\/(-42). Let r(d) = -7 + 1 + d**l + 4 + d. Let x be r(1). Solve -z = -x*z + 5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39941178 divided by -6656863?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.045, 0.3, -2822969?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 214275*s**2 + 428542*s**2 + 10 - 214277*s**2.\nAnswer: -10*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 + 47.747?\nAnswer: 48.047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12528*g - 28608*g + 16082*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 = 11*z - 39 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14966730 is divided by 242?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4794*x + 5583 - 183 = 4722*x for x.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n - n + n**2 + (3 - 2 - 3)*(n**2 + 3*n**2 - n**2) to the form t*n**2 + b + o*n and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -18581022926 + -0.1\nAnswer: -18581022926.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 d when two letters picked without replacement from {d: 5, n: 1, i: 3}?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14429785.\nAnswer: 5, 103, 28019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 24*t**3 + 3778*t**2 - 3*t - 19*t**3 + 4 - 3784*t**2. Let y(m) = -4*m**3 + 5*m**2 + 3*m - 3. What is 5*g(j) + 6*y(j)?\nAnswer: j**3 + 3*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 19 - 36)*(-6*d - 62*d + 6*d).\nAnswer: 3720*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p + 5*p - 25, -3*k - p + 167 = 0. Suppose 0 = 16*x - 18 - 14. Suppose -4*r + 240 = x*i, 3*r - 2*r - k = -2*i. Is 15 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r**2 - 9*r + 6*r**2 + r**3 - r**2 + 10*r as y + q*r + n*r**2 + w*r**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*z + 4*l, 3*l = 5*z + 6*l - 30. What is the remainder when z is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 16, 0.1, -1\/2, -111?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 557873 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -395, -1591, -3585, -6377?\nAnswer: -9967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16200012 is divided by 1327.\nAnswer: 1323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 23114 - 52?\nAnswer: 23062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 9 + -15 + 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j**(-1\/5)*j)\/j))\/j**(-2)*j**(4\/7)\/j*j*j**(-6\/13)*j assuming j is positive.\nAnswer: j**(1961\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1862 and 152.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62 - 2*h**2 + 8*h - 44 + 43 - 32.\nAnswer: -2*h**2 + 8*h - 95","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = k - 190 - 87, -l - k + 139 = 0. Suppose -3*t + 6*t = l. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 362 a factor of 2896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10824 and 136796.\nAnswer: 33651816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 605252808 to the power of 1\/5, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 2 + 8*f - 3 to the form y*f + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.933791 rounded to 1 decimal place?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 240*w**2 + 928*w - 928*w - 122*w**2 - 114*w**2.\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 6 - 0. Let m(b) = 3*b**2 - b - 2. Let k be m(-2). Suppose -4*l + w*l + k = 0. Solve -3*p - p + l = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1.6, -31, -19, 277 in decreasing order.\nAnswer: 277, 1, -1.6, -19, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 - 5*u + 6. Let i be l(4). Solve -3*g = 4*m + 2, -6 = -m + i*g - 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -3. Which is bigger: 1 or h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -359. Let b(n) = -n - 725. Give 3*b(s) - 7*i(s).\nAnswer: -3*s + 338","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sa when two letters picked without replacement from jaoszjota?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**2 - 2*b**2 + 0*b**2 + 4*b**2 = 0. Calculate b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cscscsskckcxcycsxss. What is prob of picking 2 k?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -604*t - 2666*t - 113434 = -632*t for t.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 103\/230 - 8\/23. Is l greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5110 and -0.5.\nAnswer: 2555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -771*x - 9437. Give p(-12).\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u**2 + 46*u - 1117. Let r be f(33). Do r and 0.06 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2625 * 3.\nAnswer: 7875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 348149971\/24 - 14494798. Let d = 11457 - h. Find the common denominator of -5\/6 and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -u + 3*n, 5*n + 36 = 2*u + 10*n. Sort -1, 4, -17, u, -4 in decreasing order.\nAnswer: 4, u, -1, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 4:18 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2 - 377944*b + 3023296.\nAnswer: 4*(b - 94478)*(b - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -3*o**2 - 346*o - 8864. Give f(-77).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 125\/418?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 146\/4*-2 + -1. Let y = -46 - o. Suppose c + 7 = y. What are the prime factors of c?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31562 - -2940\nAnswer: 34502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/7 - 296\/(-28). Solve 2*b + w = 2 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 645*v**2 - 138*v + 512. What are the prime factors of b(4)?\nAnswer: 2, 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -1. Let x be (6*(3 - 1))\/p. What is the first derivative of -13*g**3 + 0 + 1 + x*g**3 wrt g?\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 3:23 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {q: 3, t: 5, u: 3}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-12\/7)*p**(-2\/25))\/(p**2\/(p\/p**(3\/5))))**(2\/31) assuming p is positive.\nAnswer: p**(-1188\/5425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) -2 (b) -1.3 (c) -38\/63 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = h - 5. Let z be (-2)\/2 - -5*h. Suppose c - 7 = 4*y, -10 = -z*c - 6*y + 4*y. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -181*l**2 + 10*l - 533. Let a(b) = -182*b**2 + 11*b - 539. Let m(p) = -6*a(p) + 7*u(p). Differentiate m(c) wrt c.\nAnswer: -350*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(68)*2*2)\/((sqrt(576)*-2 - sqrt(576) - sqrt(576)) + sqrt(576) + sqrt(20)\/(sqrt(15)\/sqrt(3))).\nAnswer: -24*sqrt(17)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -18100000 to the nearest one hundred thousand.\nAnswer: -18100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/((-105)\/18)*(-5)\/(-3)*2?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 9\/10 of a minute?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/5*5\/8. Let g = 1481\/126 + -209\/18. What is the nearest to q in -2\/11, 0.2, -0.03, g?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -249283 divided by 9.\nAnswer: -249283\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/((p*p\/p**0)\/p))**8\/(p**(-6)\/(p\/(p**(-7)*p)))*(p*(p\/(p\/p**(-5\/3))*p)\/p*p*p**(1\/4))**(-2\/47) assuming p is positive.\nAnswer: p**(3659\/282)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-70)\/(-30) + (9 - 11)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5320684379 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 166 - 165.9. Let g = 198 + -197. Which is the third smallest value? (a) l (b) 2\/33 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x*x*x*x\/(x**1*x)*x*x)\/x)\/x**(1\/2))\/((x\/x**(4\/3))\/(x**4\/x*x)) assuming x is positive.\nAnswer: x**(47\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -13*q - 7. What is u(3)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3*l + 16. Let t be m(-8). Let z be 4\/t*6\/9. Which is the third biggest value? (a) 5 (b) -0.02 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -32*b**3 - 22*b**2 - 18*b + 2. Let g be j(-1). Let y(v) = -v**3 + 4*v**2 + 6*v + 5. Let f be y(5). What is the highest common divisor of g and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + (-2 - (-6414)\/4). Let t = k - 1648. What is the common denominator of 105\/22 and t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1178, -1145, -1112, -1079?\n\"Answer: 33*x - 1211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 n when four letters picked without replacement from nllln.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -397844 >= -397844?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j**2 + j - 1. Let u be d(1). Suppose 0 = -t + 4*x + 2, -3*t + 6*x + 6 = u*x. Suppose -2*h + 32 = 2*m, -7*h = m - t*h - 24. Is 5 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -49 - -295\/6. What is the closest to 1\/2 in 7\/5, 2\/3, z?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 13149260.\nAnswer: 144641860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8422\/9 + -937. Let z = -367225\/18 + 20407. Calculate the common denominator of o and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (12\/10)\/(2\/5). Suppose 0*g = -g + 3. Suppose 0 = 5*a - 5*l - 55, 0 = -a + g*a + 4*l - 4. Solve 0 = n - q + 3, -4*n + a*n - o = -q for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 42 = n, 2*h - 33 = 5*n - 175. Let w be (-312)\/n - (-4)\/10. Let m = w - -14. Is m a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 10*q**2 + 1. Let x(b) = -156*b + 2. What is v(x(a))?\nAnswer: 243360*a**2 - 6240*a + 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 - 7*a + 21. Let h be g(-8). Let r(x) = -x**3 + 12*x**2 + 11*x + 26. Let f be r(h). Put 3, 5, f in decreasing order.\nAnswer: 5, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*y + 4*f, 7*y - 2*y - 4*f - 22 = 0. Suppose -2*u - 2*o + 4102 = 0, -u - y*o + 704 = -1351. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -56202.51 - -55964. Let b = 32.2 - 274.2. Let k = l - b. What is k rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3266 is divided by 1255?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 9*s**2 + 10*s - 8. Let t be x(-8). Suppose -851 = 15*j - 13*j + 5*n, 0 = 3*j + 4*n + 1273. Let h = 424 + j. Put 5, h, t in descending order.\nAnswer: 5, h, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.58, -0.1, 18, -0.5, -4\/7, -3\/1505?\nAnswer: -3\/1505","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 - (3 - (1 - -6)) - (-102 - -113)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-60))\/(2\/(-10)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, o: 4, z: 2}. Give prob of sequence zoy.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 4*f**2 + 5744*f - 110580 = 0.\nAnswer: -1455, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -24*o**2 - 59*o - 288. Let d(s) = 3*s + 26. Let v be d(-5). Let u(y) = -13*y**2 - 30*y - 144. Let m(n) = v*u(n) - 6*x(n). Factor m(w).\nAnswer: (w + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 422\/12*(-1)\/(-23). Let r = p - 2\/69. Let o = 2224\/3 - 742. Put o, -1, r in descending order.\nAnswer: r, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/70 and -113\/70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/4 - 2*k - 4.\nAnswer: -(k + 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1*-2*sqrt(119) + sqrt(119) + (sqrt(119) - (sqrt(119)*1 - sqrt(119)))*-5)\/(((2*sqrt(315))\/sqrt(5))\/sqrt(9)).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -904\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -5*h**3 - 23*h**2 + 136*h + 688. Give d(-5).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 - 9\/(72\/(-32)). Let p(g) = -g - 8. Let t be p(-11). What is the second derivative of c*h + 4*h**3 - 22*h**3 - 32*h**t + 14*h wrt h?\nAnswer: -300*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 29*q**2 + 419*q - 705. What is p(-16)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -84f24 + 130?\nAnswer: -84df4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2112201202112 (base 3) to base 13\nAnswer: -384a04","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by 21?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 3 - 3. Let c(k) be the second derivative of 17*k**4\/12 + k**3\/6 + k**2\/2 + k. Is c(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 - 2*f - 5. Let j be u(0). What is the closest to 4 in j, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 517907 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 5*g**3 + 5*g**2 - g - 9. Is 14 a factor of y(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 17, f: 3}. What is prob of picking 2 e?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 8 - 6)*(-4 + 4 - u) in the form c*u + y and give c.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 220\/(-44)*(-1)\/5*2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*u*z**2 - 8*u*z + 216*z**5 - 11*z wrt z?\nAnswer: -4*u + 4320*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-164)\/(-492)*((-4)\/6)\/(-2)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of -97*b**4\/12 + 11*b**3\/6 - 12210*b**2. Let i(x) = 2*x. Determine i(g(r)).\nAnswer: -388*r + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(26)\/(5*(sqrt(2) + sqrt(2)*2)).\nAnswer: sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert c14b2 (base 13) to base 6.\nAnswer: 11224410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + ((2 - 12) + 8 - (38 + -10)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of m**4\/8 + 2*m**3\/3 + 4*m**2. Determine i(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15247 + 45204. List the prime factors of w.\nAnswer: 29, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69341289113 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r**2\/11 - 408*r\/11 + 414\/11 = 0 for r.\nAnswer: -69, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6553452679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (3*sqrt(80)*2 - sqrt(80)))**2.\nAnswer: 120*sqrt(5) + 2009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of g**8\/320 - g**5\/40 + 8*g**4\/3 - 23*g. Let n(v) be the third derivative of o(v). Find the first derivative of n(s) wrt s.\nAnswer: 63*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2521 - 2463. Is s greater than 532\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/3 (b) -1383 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 11 = f + f, -3*f = -3*m - 6. Factor 2 + 77\/2*h**2 - 49\/2*h**f - 16*h.\nAnswer: -(h - 1)*(7*h - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 2*u = -5*u + 16, 2*u + 31 = 5*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1834 is divided by 92?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/21 and -103\/1554?\nAnswer: 1554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -7*m + 93. Let y be k(0). Suppose -16*x + 35 = -y. Which is the second smallest value? (a) x (b) -5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in x**5\/2 + 289*x**4 + 44733*x**3\/2 + 501968*x**2 + 3456640*x = 0?\nAnswer: -491, -55, -16, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r + 1. Let m be j(-5). Let q be 4\/(-2) - (-1 - m). Suppose -v - 2*c + q = v, -3*v + 4*c + 8 = 0. Let i(f) = 2*f - 5. What is i(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - w = 2*w + 251, p = -w + 255. Suppose -4*x + p = -2*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of -w**4\/12 - w**3\/3 + 2*w**2 - 2*w + 16. Give r(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 divided by 2332004.\nAnswer: 17\/1166002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 8) in base 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 116487524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1155 - -2140066?\nAnswer: 2141254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 223 and 98 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 3*q**2 + 2*q. Let k = -27 + 29. Suppose -5*t - 5 = -40. Let c(j) = -4*j**3 + 10*j**2 - 7*j + 1. Calculate k*c(m) + t*i(m).\nAnswer: -m**3 - m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*h + 30*h = -1375. What is the remainder when h\/3*(8 - (3 + -1)) is divided by 24?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dtjqqkjdjtcd. What is prob of picking 1 j and 1 c?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**4\/13 + 28*a**3\/13 - 144*a**2\/13 + 320*a\/13 - 256\/13.\nAnswer: -2*(a - 4)**3*(a - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 124\/6 - (-1)\/3. Let v(h) be the third derivative of h**4\/8 + 7*h**3\/3 + 2*h**2 + 7*h. Let d be v(3). Are i and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8192999.\nAnswer: 8192999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.3 - 2.7. Let i be (-1)\/(-3) + ((-28)\/12 - -3). Which is the smallest value? (a) 5 (b) g (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 12) in base 14?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29\/12 - -7\/4. Let w = -24734 - -24722. What is the nearest to o in 4, w, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 b when three letters picked without replacement from {x: 2, b: 2, n: 6, a: 1}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -815*l + 2*b + 37 = -784*l, -5*b - 10 = 5*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 36 = 19. Let f(j) = -j**3 - 7*j**2 + 14*j - 13. Is f(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 3 - 15*k**3 - 14 - 3786*k**2.\nAnswer: -15*k**3 - 3786*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33 + 28. Calculate the remainder when m is divided by 23.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 21374.\nAnswer: -85496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.9437286ml?\nAnswer: 0.0009437286","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -3 + 2. Which is greater: 2\/73 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.92977545 rounded to 4 decimal places?\nAnswer: 6.9298","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5848, 10163, 14506, 18883, 23300?\n\"Answer: m**3 + 8*m**2 + 4284*m + 1555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 1\/4*x**3 - 2*x**2 - 5\/2 + 17\/4*x = 0.\nAnswer: 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 92, 111, 134, 155, 168, 167, 146, 99?\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 84 + -80. Let f be ((-24)\/10)\/(-2)*470\/a. Let j = -84 + f. Is j a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10237788 is divided by 1051?\nAnswer: 1048","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 + -9110.\nAnswer: -9110.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.24 - 5010.\nAnswer: -5009.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -10*i + 10. Suppose 4*s - 12 = 5*w, -i*s = -1 - 5. Are -2\/11 and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 divided by -55?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qtqtqqqtqtqtt. Give prob of picking 1 q and 3 t.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 77498*f**3 + 42599*f**2 wrt f.\nAnswer: 464988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2*(6 + (-1055)\/175)*(-49)\/35\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*q = 6998 + 5990. Calculate the remainder when q is divided by 48.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - ((7 - -3) + -4 - 1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - 10*b + 30. Let u be r(9). What is the second derivative of -65*d**5 + u*d**3 + 68*d**5 - 19 + 5*d - 6*d + 2*d wrt d?\nAnswer: 60*d**3 + 126*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1899 is divided by 320.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t + 3. Suppose -4*w + 23 + 17 = 0. Suppose -5*g - w + 0 = 0. Let j be (1 + -8 - g)\/(-1). What is s(j)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -20.96 and 571?\nAnswer: -11968.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16432*u + 72 = -16420*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2276 + 2?\nAnswer: -2274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/17)*s\/(s*s**(-2)\/s*s*s))\/(s*s*s\/(s\/(s**9*s))*s\/((s**(2\/5)*s)\/s)))**18 assuming s is positive.\nAnswer: s**(-17928\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 82921*z**2 + 95775 wrt z?\nAnswer: 165842*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 27 + 133. Suppose -7*t = -5*t - h. Does 6 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 42 = -4*a + 4*r, 0 = -2*r - 6. Suppose -v - p = -24, -5*p - 1 - 14 = 0. What is the greatest common divisor of v and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8804 and 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 82118849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 3*m = -24. Let s(x) be the first derivative of -x**2\/2 - 7*x + 4. Let o be s(m). Which is the closest to o? (a) 2\/3 (b) 1\/3 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1386 and 378?\nAnswer: 4158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 - 1)*(-1 + v**2 + 1) - 1 + 1 + 2*v**2 - v**2 - 2*v**2 + 4*v**2 + (2*v - 4 + 4)*(-3*v + 0*v + 5*v) as g*v**2 + m + o*v and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 216 and 5868.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = d + 16, 4*u - 44*d + 4 = -39*d for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - -7. Let u = m + -21. Is ((-126)\/u)\/3*5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 988 = -6*n. What are the prime factors of n?\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 10 = 2. Solve z*i + p - 2*p = -15, 4*i - 5*p + 20 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 24100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*z - 2. Suppose l = -z*l + 102. Let p = l + 33. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6566 + 39*w + 6567 - 2*w**2 + 365*w to p*w + i*w**2 + z and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 504095 is divided by 642.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((17 - -1) + (-2691)\/138)*(-1 + 0 + 0)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 984 divided by -492?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1043963472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 205786852589 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 851134000 to the nearest one hundred thousand.\nAnswer: 851100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + 0 + -21 - 1) + (4 - 6)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1978? (a) 5 (b) 111 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 9:44 PM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101 + -1010111?\nAnswer: -1000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2435273?\nAnswer: 401, 6073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*q + 2*q**3 - 484*q**2 + 34 - 482*q**2 + 966*q**2 to o*q + r*q**3 + p*q**2 + f and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 18767, 19820, 20895, 22004, 23159, 24372, 25655, 27020?\n\"Answer: 2*x**3 - x**2 + 1042*x + 17724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -156 * 0.18\nAnswer: -28.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1664 - -1725. Which is the closest to g? (a) -4 (b) 0 (c) -0.3 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 220019105 to the nearest integer?\nAnswer: 604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**2 - 2*i**5 - 2*i**2)*(-2 + 0 + 0) + 71*i**4 + 2*i**5 - 8*i**5 + 16*i**3 - 69*i**4.\nAnswer: -2*i**5 + 2*i**4 + 16*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f = 15*f + 3*c - 72, 4*f = -3*c + 60. Is f at least 22\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 4*x - 36, 3*x - 42 = -5*p + 5*x. Suppose -425 = -4*w + 5*r, 2*w - p*r = -5*r + 213. What is the remainder when w is divided by 24?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1050*c*y + 170753*c + 4*y wrt y.\nAnswer: 1050*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 12) + (-190 - -189) + 27 + -1.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 5\/4 of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 381*d**2 - 188*d**2 - 190*d**2.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 + 46*q - 311. Let z be m(-52). Which is the biggest value? (a) z (b) 3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87762553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 47\/4 of a decade?\nAnswer: 1410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 464 is divided by 93?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 412557847 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 121221201102 (base 3) to base 2\nAnswer: 1010001011101101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -0.077 (b) 0.1 (c) -5 (d) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a factor of 18910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 6, 22, -22, 18, 2, 3 in descending order.\nAnswer: 22, 18, 6, 3, 2, -1, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/6 + (31 - -3). What is the highest common divisor of 132 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 607 - 79 = 0. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 11, 22, 33?\n\"Answer: 11*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - 10*b**2 + 12*b + 3. Does 6 divide f(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(-h + 2*h + 2*h) - 243*h - 8*h + 131*h - 253*h.\nAnswer: -376*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*(p*p\/p**6)\/p)\/p*p)\/p**10*(p**5*p*p)\/((p**(4\/11)\/p)\/p) assuming p is positive.\nAnswer: p**(-59\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39 + 87. What is the highest common factor of p and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 4*r**2 + 46*r - 48. Determine l(-14).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 10*n**3 + 4*n**2 - 5*n - 3. Let z(b) = 10*b**3 + 5*b**2 - 6*b - 4. Determine 4*p(a) - 3*z(a).\nAnswer: 10*a**3 + a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -117 divided by -3.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + s = -4*z - 4, -4*s - 2*z = -22. Let k = 41 + s. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -6*r**2 + 7*r + 5. Let u be n(-9). Suppose -8 = -2*i, 5*i - 9 = 4*q + 15. Let o be (u\/3)\/(q\/37500). Round o to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3084682*n**2 + 582659?\nAnswer: -6169364*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, p: 1, b: 2, z: 1, q: 1, l: 1}. Give prob of sequence qzpr.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*d**2 + d - 2*d - d + 2*d + 6*d**3 in the form n + k*d**3 + v*d**2 + a*d and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 10. Let h = -0.8 + 3.8. Which is the smallest value? (a) h (b) t (c) -1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -649, -1297, -1951, -2611, -3277, -3949?\n\"Answer: -3*d**2 - 639*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6\/(-9) - (-65)\/3?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tnynynybantnyann. Give prob of sequence tyy.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43 + 42. Let l(d) = d. Let o(g) = -2*g**2 - g. Let j(y) = -l(y) - o(y). Let u(q) be the third derivative of -q**5\/60 + q**2. Give r*j(t) - u(t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 PM and 6:28 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) + 3 + 4 - (sqrt(684) + 6*sqrt(684)*1 + sqrt(684)))**2*-2.\nAnswer: -67130 + 1176*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 z when two letters picked without replacement from enqeqjnzl?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 1\/6, 26, -3\/5 in descending order.\nAnswer: 26, 0.4, 1\/6, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of -3*s**4\/4 + 5*s**3\/3 + s**2\/2 - 2*s - 2. Suppose 0 = q + 2*i - 5, 3*q = -2*q - i - 11. Is d(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (((-28)\/(-5))\/1)\/(2\/35). Suppose 6*f - 46 = i. Calculate the smallest common multiple of 33 and f.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ujjjuj. What is prob of sequence ju?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of -y**7\/168 - y**6\/36 - y**5\/24 + 2*y**3 - 14*y. Let q(r) be the second derivative of p(r). Determine a, given that q(a) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3*p - 2. Let s(r) = 1 - 6*r + 2*r + 2. Let q(h) = -3*m(h) - 2*s(h). Let l(o) = 143*o**2 - 296*o**2 + 150*o**2. Give q(l(x)).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 207945 minus -6?\nAnswer: 207951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q**4 - 27*q**3 + 30*q**2 = 0.\nAnswer: -10, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 594\/396*(-1)\/18?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -3.05. Let f = a - -10.95. Let s = f + -11. What is the nearest to 0 in s, -4\/3, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - 6*i**2 + i - 23. What is q(-7)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 62 - 29 = 0. Suppose 6 = -u + a. Suppose 115 = 7*h - 2*h + u*o, -5*o = -4*h + 137. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1040 - -1871. Does 13 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -108, 8\/47, 20.2?\nAnswer: 8\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 125285*(-4 - (-84)\/20) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -8. Suppose z = -2*t + t + 7. List the prime factors of t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 - (-52 - (-36 - 38)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 5, 8, -5 in decreasing order.\nAnswer: 8, 5, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 8:47 PM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.015 * -693.\nAnswer: 10.395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + -1)\/(-1 - 0). Suppose 3 - q = f. Calculate the remainder when 2\/(-3) - (-42)\/9 is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 - -4. Suppose 2*g - s = -3*g. Suppose -8*l + g*l + 4*w = 16, -5*w = 4*l - 29. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*j**2 + 513223520946 - 513223520946 + 2*j.\nAnswer: -27*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 195 = 4*g - 3*z, -g + 3*z + 81 = 21. Let x be g\/2*(-104)\/(-65). Solve -2*h - x = 7*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4610, -4613, -4618, -4625, -4634, -4645, -4658?\nAnswer: -4673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1876019749 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 116*z = 1154, 3204*z - 3201*z - 30 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4920 + -3550. Calculate the least common multiple of z and 10.\nAnswer: 1370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-51 - -103) + -15 + -1 + 3\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -17845266.3 rounded to the nearest one thousand?\nAnswer: -17845000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/3964 and -15\/14?\nAnswer: 27748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 72*w - 77*w + 70 = 0, p + 4*w = 29. Solve 0 = -p*g + 2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/130 and -47\/208?\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**5\/(b*b**(1\/11)))\/((b\/(b**(-7\/6)*b*b))\/(b\/((b\/b**(-1\/4))\/b))) assuming b is positive.\nAnswer: b**(593\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v + 3*v - 3*v)*(-586*v**3 + 9*v - 591*v**3 + 1156*v**3) as d*v**2 + o + m*v**3 + j*v**4 + y*v and give j.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3*g**2 + 2*g. Let z(p) = -3*p**2 - 9*p + 14. Let k(n) = -2*f(n) + z(n). What is k(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 24 - 85412*o**3 + 11.\nAnswer: -85412*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 200191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of -j**5\/8 + j**3\/6 + j**2. Let h(y) be the first derivative of p(y). Let s(w) = -15*w**2 - w**2 + 18*w**2. Give h(s(v)).\nAnswer: -30*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - m = -8, 0 = 5*m - 47 + 22 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 912439?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - 2 - 5*s + 2*s)*(-702*s**2 + 3*s - 629*s**2 - 1105*s**2).\nAnswer: 4872*s**3 + 4866*s**2 - 6*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*p, -32 + 104 = 2*l - 3*p. Solve 0 = 4*d - 2*n - l, 4*n + 0 = -3*d - 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.01 + 0.99. Let n = 2.8 - 2.9. Which is the nearest to n? (a) z (b) -4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 3:06 PM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1890?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*p**2 + p**4 + 7*p**2 + (p - p - 2*p)*(p**3 + 0*p**3 + 2*p**3) + 5 + 6*p**4 - 5 - 36*p**4 - 3067*p**3 + 3067*p**3.\nAnswer: -35*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1))**(2\/53)\/(i*i**(-1\/10)*(i\/((i*(i**7*i)\/i)\/i))\/i))\/(((((i\/(i**0\/i))\/i)\/i)\/i)**(1\/8)\/((i*i*i\/i**(-8)*i)\/(i*i**(5\/3)))) assuming i is positive.\nAnswer: i**(98711\/6360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, -2\/21, 2, 12, 5, -20\/19?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2, -33, -94, -181, -294?\n\"Answer: -13*x**2 + 4*x + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1130606207 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 84977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 756817217 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 173929222*h. Let s(f) = f. What is s(o(r))?\nAnswer: 173929222*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 29*n**2 + 148*n - 166. Determine r(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a millennium in decades?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) -1 (c) 0.75 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29157590 by -154.\nAnswer: 189335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*h + 18*h + 667 = 0 for h.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/5 + 6*5\/(-75). Let q = 31 - 30.94. Let t be (-24)\/(-14) + (-18)\/(-63). What is the second biggest value in t, q, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 920 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 5 + 3 = 0. Let t be x\/12*0 + 125. What is t rounded to the nearest ten?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*w + j - 9, w - 4*j = 5*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3620 and 193947835.\nAnswer: 905","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45, 55, 69, 87, 109, 135?\nAnswer: 165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*u**3 + 12*u**2 - 6*u**2 - 69*u**3 - 6*u**2 + 17.\nAnswer: -59*u**3 + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 6*r**2 - 6*r**2 + 205874 - 205874 - 9*r**2. Let u(v) = -2*v - 21. Calculate s(u(h)).\nAnswer: -36*h**2 - 756*h - 3969","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence td when two letters picked without replacement from {d: 5, t: 11}?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = 5*x + 14, 3*x + 3771 = -70*z + 3695 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -4*z - 13. Let c be i(-5). Let v(u) = 0*u**2 - c*u**2 - 2*u**2. Let a(w) = w. Give v(a(h)).\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/4 + -19 + 11 + 19.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 1 - 5 = 4*o, 0 = -2*o - 3*h - 6 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.1 and -17\/658 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -6693, -11.1 in descending order.\nAnswer: 2, -11.1, -6693","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = m - 4 - 1, 6 = 3*m - 3*j. Let z be ((-6)\/(-2))\/(-2 + m). Is -1 at most z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a meter in centimeters?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -3*t - 6. Calculate the greatest common factor of t and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(931)*-1)**2 - sqrt(931))*-4*-3.\nAnswer: -84*sqrt(19) + 11172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 65 + -50. Suppose 0 = -i + 2*u + 58, i + u = 5*u + 56. What is the highest common divisor of z and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o**2 - 11*o**2 + 18*o**2.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 15) in base 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3825, -3787, -3733, -3657, -3553?\nAnswer: -3415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11450613 or 11450622?\nAnswer: 11450613","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/40 (b) 4\/9 (c) -0.027 (d) 710\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 33033223 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-7)*o**35*o assuming o is positive.\nAnswer: o**29","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*j + l - 2*l, 2*j = 4*l + 14. Suppose -s + 4*w = -2 - 4, 2*s + w = j. Solve q + 3 = s for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 57659271864286 and 3.\nAnswer: 57659271864289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104847 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38 - 38 - 5490*f**3 + 5479*f**3.\nAnswer: -11*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oxx when three letters picked without replacement from oooooxooxoox?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2625, -2603, -2581, -2559, -2537?\n\"Answer: 22*i - 2647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -2\/7, 2, 1, 0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1910404 + 2a?\nAnswer: -19103da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u + 15. What is the least common multiple of x(13) and 716\/18 + (-6)\/(-27)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43332160?\nAnswer: 2, 5, 19, 7127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p - 17. Let q be t(7). Let i = q + 6. Let h(x) = x**2 - 2*x - 1. Does 9 divide h(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000888 to five decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-6) - 14\/(-3). Suppose d*y - 3*y - 21 = 0. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 a factor of 159780060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 3*i**3 + 96*i**2 + 120*i + 941. Determine j(-31).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*p = -2315 + 2435 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 338 a factor of 156832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -21 + 81*z - 21\/4*z**3 - 99\/4*z**2 = 0?\nAnswer: -7, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 160?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fmmffmmfphmjfhmm. Give prob of sequence mjfp.\nAnswer: 1\/1248","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -n + 10. Let s(u) = -u**2 - 6*u - 2. Let o be s(n). Solve 0 = -6*g + g + x, 2*g + o*x = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8198270.\nAnswer: 2, 5, 819827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 165914075?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1122331400 (base 5) to base 3.\nAnswer: 11210011222000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2535 - 2631 = 9*m + 3*m for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**2 + 61*k - 2087. Determine m(-51).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (838453\/182 - 5) + -5. Let w = -4600 + x. What is the common denominator of -29\/42 and w?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - s - 38800, 0 = -5*t - 10*s + 5*s + 193970. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1912 and 5?\nAnswer: 0.956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1873 divided by -30?\nAnswer: 1873\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/5, 1, 13, -0.5, 9\/11?\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 546 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -165, -230, -295?\nAnswer: -360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-471 + 471 + 14*x)*(-21 + 13 - 20) to the form v + g*x and give g.\nAnswer: -392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-37)*z*z\/z**(-19\/5)*(z**(-15\/8)*z)\/(z*z**(-8\/9)) assuming z is positive.\nAnswer: z**(-11587\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 + 11*o - 227. Calculate the remainder when u(13) is divided by 30.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-3*(sqrt(77)*4 + sqrt(77)))\/(4*sqrt(99)\/sqrt(9)).\nAnswer: -15*sqrt(7)\/4 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 10:50 PM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s**2 + 5*s + 8. Let z be g(-2). Let k be (0 - (-1 - -1))\/2. Suppose k = 4*x, -3*u + 2*x = x - 330. Calculate the highest common factor of z and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -284, -557, -840, -1139, -1460?\n\"Answer: -f**3 + f**2 - 269*f - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/6*(-3)\/(-8)*-4. Suppose -o - u*o = -134700000. What is o rounded to the nearest 1000000?\nAnswer: 45000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 55 = -4*g - 5*d, -5*d = -5*g + 95. Suppose 0 = 4*t - 44 - g. Suppose 303 = 6*x + 33. What is the greatest common factor of x and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3*(sqrt(243)*1 + sqrt(243)))**2 + 3*(1*(sqrt(243) + sqrt(243) + 2) - sqrt(243)).\nAnswer: 27*sqrt(3) + 34998","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (43414\/196)\/(2\/4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2099 * 0.1\nAnswer: -209.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**3 - 34*u**2 - 3654*u - 50009. Calculate m(-14).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 100 + -99.59. Let p = -5299192 + 5299192.41000368. Let y = p - r. What is y rounded to seven dps?\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 6*s = 6. Suppose 14*g**3 + 6*g**2 + 12*g**3 - 48*g**s + 19*g**3 = 0. What is g?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 0.5 (b) 5 (c) 6 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/686 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (5 - (-14988)\/21) + 35\/(-49) is divided by 216.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.7 - -1.7. Let k = 2756.94 - 2757. Which is the smallest value? (a) u (b) 4 (c) k (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of -b**7\/210 - 151*b**6\/120 - 37*b**5\/30 - 91*b**2 - 2*b. What is the third derivative of i(c) wrt c?\nAnswer: -24*c - 906","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -3*m - 650, -3*q - m + 537 = q. List the prime factors of q.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 305 is divided by 153.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 199426109 to the nearest integer?\nAnswer: 14122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - (4 + -4)\/(-4). Let s = 4 - 5. Let z(l) = -5*l - 1. Let o be z(s). Solve k - o = x for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 439?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 7*m + 18. Solve -m*s = -9*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 460083\/20 - 23003. Calculate the common denominator of -41\/372 and j.\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2 + 2*l - 2*l - 3*l + 5 wrt l?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + -179.5.\nAnswer: -179.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 891 and 30?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g - 64 = 11*g. Calculate the greatest common factor of g and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuiuuuuuuuuu. What is prob of sequence ii?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14494878.\nAnswer: 2, 3, 805271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*u + 13862 = 3*t + 20*u, -4*t - 3*u + 18487 = 0. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of u**4\/12 + u**3\/3 + 11*u + 8. Let d(q) be the first derivative of a(q). Let p be d(-3). Solve 19 = 4*g + p for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8210766 minutes to hours.\nAnswer: 0.01368461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22.57 - -22.67. Which is the closest to v? (a) 0.7 (b) 3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 17 + 23 = 0. Suppose -v + 53 = -2*x, 4*v + 5 = -5*x - 160. Let n = b + x. What are the prime factors of n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b - b - b)*(-1 + 2 + 0)*(45 + 23 - 7).\nAnswer: -122*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -4*u - 252, -4*u + 56 = 2*w - 58. Let x be (0 + w)*(-3 - -2). Let k = x - -66. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5519320 plus -184?\nAnswer: -5519504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 0)\/((780\/550)\/1 - (-10)\/55).\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 2:06 PM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 616*a - 572*a - 2399848. What are the prime factors of a?\nAnswer: 2, 27271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -79 + 3?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwssbwbwbbbbwbwwsb. What is prob of sequence wsss?\nAnswer: 7\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-2160)\/53424*21\/(-15)\nAnswer: 3\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -67 - -67.2. Let y = 8400 + -8403. Let a be 1 + (0 - 10\/8). What is the second smallest value in y, -0.5, w, a?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = 8*s - 60 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.7 - 1.3. Let f = 33 + -28. Which is the nearest to s? (a) 2\/5 (b) 9 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**2 + 96*s + 896 = 0. What is s?\nAnswer: -8, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -286 divided by 49.\nAnswer: -286\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6 + (15 - 10 - 10). Which is the closest to l? (a) 2 (b) 0.1 (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -9*r - 24. Let k(l) = -5*l - 12. Let x(f) = 5*k(f) - 3*n(f). Let m = -8 + 18. What are the prime factors of x(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 6 - (1 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001 - 101?\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 74 + -26. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 18 = 12 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/7 (b) -3.8 (c) 0.1 (d) 0.66\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1028 is divided by 671?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 != 30\/299?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/2)\/(-2 - -3)*1. Let w be -2 - ((-12)\/16)\/(l\/12). Suppose f = -5*d - w + 379, -2 = -f. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 + (-49)\/(66150\/73260)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5820\/13 greater than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.77 - 0.7069. What is x rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -22384?\nAnswer: -1\/11192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h*h**(-2\/13)*h))**(-8)\/(h**(9\/5)*h*h\/(h*h*h**(-1\/5))))**(-2\/7) assuming h is positive.\nAnswer: h**(12\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112130 (base 4) to base 15.\nAnswer: 65b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-63 + 30 + 34 - 58*s)*(3*s - 5*s + 4*s).\nAnswer: -116*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -391172100 rounded to the nearest 1000000?\nAnswer: -391000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 66 = -3. Factor 22*o**2 + 0 - 20 - 16 - n*o**2 - 12*o.\nAnswer: 3*(o - 2)*(5*o + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, g: 1, o: 4}. What is prob of sequence uu?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -4*i**3 + i**2 - 1. Give l(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13886 to the power of 1\/2, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 5*q**2 - 4*q + 1. Let r(h) = -3*h - 35. Let p be r(-14). Let u be (-8)\/(-6)*(p - 4). What is k(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 5*d**3 + 21*d**2 + 2*d - 4. Let j be x(-4). Suppose -j*f + 1206 = -206. Let r = 495 - f. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**3 - 26*b**2 + 58*b - 2. Give m(10).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32d0 (base 14) to base 5.\nAnswer: -240211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v = 9295 - 9230. Sort -0.14, 2, v in ascending order.\nAnswer: -0.14, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 157716, 315433, 473150, 630867?\n\"Answer: 157717*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, -2, 208 in ascending order.\nAnswer: -5, -2, -1, 208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19 by 1383.\nAnswer: 19\/1383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 22*p**2 + 8. Let y be n(22). Suppose -3*z - 3*u - 234 = -0*u, -2*u - 2 = 0. Let g be z\/22*y\/(-14). Solve l - 3 = g*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/5 and (-9)\/4*(-124)\/24?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4762392489.\nAnswer: 3, 23, 852101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -504*w + 28*w**3 + 127*w**2 - 58*w**2 + 648 - 2*w**2 + 2*w**4 - 41*w**2 = 0. Calculate w.\nAnswer: -9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 55 - 40. Factor 16*y**2 + m*y - 5*y**3 + 11 - 11 - 6*y**2.\nAnswer: -5*y*(y - 3)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 45*d + 3*d**3 - 122*d + 5*d**2 + d**2 + 75*d as f*d**3 + o*d + g + b*d**2 and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47827, 47800, 47773?\nAnswer: 47746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 705948?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -2*p - 2*p. Let h be -3 - p*1\/2. Solve h*l = -l + 12 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3695?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millimeter in nanometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14149203.\nAnswer: 3, 59, 79939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12202 + -12201.58. Which is the nearest to h? (a) 0.1 (b) 2\/11 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -252 = 6957*r - 6939*r for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 75 and 1125.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 25*j - 2. Let w be r(2). Let s be (-2)\/11 - w\/(-22). Suppose 0 = -i + 3*i - 6, -4*v = s*i - 58. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -16569*q**2 + 8345 wrt q?\nAnswer: -33138*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5333, -10717, -16093, -21467, -26845, -32233, -37637, -43063?\nAnswer: -48517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 h when four letters picked without replacement from hhxhxhxhghhxghhxhx?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 + 0.1. Let i = -27 - -22.7. Let v = i - -4.6. Which is the biggest value? (a) v (b) 0.2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25264914*-0.3\nAnswer: -7579474.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 28653 + -11?\nAnswer: 28642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-178 - -201)) + (-1 - 30).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppmp when four letters picked without replacement from pgmpgmgggmmpmp?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/7)\/l**(-10))\/(l\/l**(-13)*l*l*l**(-3\/7)) assuming l is positive.\nAnswer: l**(-38\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63, -47, -31, -15?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.4 - 13972351.\nAnswer: -13972342.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28839?\nAnswer: 3, 9613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -313.97832661 - 0.1\nAnswer: -314.07832661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddgguudfudg. What is prob of sequence gu?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 - 3)*(-308 - 19*c + 308 + (4 - 1 - 2)*(c + c + 0*c)) as n*c + r and give n.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 r, and 1 b when three letters picked without replacement from {t: 9, r: 3, b: 2, h: 4}?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175)*-1 + sqrt(175) + sqrt(175))\/sqrt(5))\/(sqrt(7)*2*-2) + -3*-3*sqrt(5) + (sqrt(45)\/(-1*sqrt(9)))**2.\nAnswer: 5 + 35*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 39650521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y. Let p be x(1). Suppose 117 = -u + 120. Suppose -u*q - 4*s = 2*q - 2314, 1386 = 3*q + p*s. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/23 (b) 2\/15 (c) 2\/9 (d) 0 (e) 4 (f) -1.503\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i - 10 = -14*i. Suppose m = -i*f - f - 78, 2*m - 60 = 2*f. Find the common denominator of f and 33\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express 51*g**2 - 17*g**2 + 219*g - 13*g**2 - 7*g**2 + 16 - 13*g**2 as h + c*g**2 + l*g and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*k = 23906 + 52246. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/sqrt(300) + -4 + -1 + (sqrt(80)*1 - sqrt(80)) + sqrt(80))**2.\nAnswer: -42*sqrt(5) + 566\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1705*q - 1705*q + 42*q**3.\nAnswer: 42*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -610 divided by 122.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/12)\/(2\/8). What is the closest to 1 in 1\/2, y, -3\/26, 1\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 3) in base 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29.8 - 30. Let d = -0.4 + 0.1. What is the third smallest value in z, d, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10.1 + 11. Let z = k - 0.8. Let c = -0.1 - 0.1. What is the nearest to z in c, 0.1, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = 2*o + 12 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4267?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o**2 - 7*o + o + 21*o - 7*o to the form t*o + v + r*o**2 and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i**3 + 6*i**3 + 3*i**3 - 4*i**3.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 2.32\nAnswer: 0.928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (4 + 24)*1\/4\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - 37*r - 3. What is a(37)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 24 = 4*f, -4*f - 427 + 415 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121200000 + 10?\nAnswer: 121200010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 10:37 PM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*a**2 + 72 - 19*a**3 - 44*a + 23*a**3 + 80*a = 0. Calculate a.\nAnswer: -1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -387, -295, -55, 405, 1157, 2273?\n\"Answer: 12*h**3 + 2*h**2 + 2*h - 403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1450664?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 944477 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -1526*f**2 - 2*f + 581*f**2 + 795*f**2 - 4*f as m + n*f**2 + g*f and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 3*g**2 + 5*g + 5. Suppose 3*f = 0, 2*q - f + 15 = 7*q. Let d(k) = 3*k + 2*k**2 + k - k + q. Let s be (45\/(-63))\/(-2*1\/14). Give s*d(l) - 3*r(l).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -4*z**2 - 2*z - 1. Let p be c(-1). Let u be ((-8)\/(-12))\/(1\/p). Let r(v) = -2*v**3 - v**2 - 4*v - 3. List the prime factors of r(u).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 320.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 31840348 to the power of 1\/2, to the nearest integer?\nAnswer: 5643","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + w = 4, 2*n - 26 = 4*w - 8*w for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 2*m - m - 5, p - 4*m - 6 = 0. Suppose 4*r + b - 1039 = 0, p*r - 29 = -5*b + 486. Is r a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 762?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -28201147 less than 0.2?\nAnswer: 28201147.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1812 - 23568\/13. Let o = -35\/52 - v. Let m = 1\/36 + -1\/4. What is the nearest to o in 1, -3\/5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (312\/117)\/((8\/(-30))\/2)*(-330)\/6050.\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r + 12. Let y be b(-11). Let n(w) = 1160*w**3 + w**2 - w - 1. Is n(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z. Let v(j) = -3*j - 8*j + j + 4*j. Determine c(v(s)).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8566 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -510*x**2. Let w(k) = -2*k. Calculate i(w(r)).\nAnswer: -2040*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 780, 939, 1228, 1653, 2220, 2935, 3804, 4833?\nAnswer: 6028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 746571.744 rounded to the nearest ten?\nAnswer: 746570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 6:57 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**2 + 15460*d**3 - 15449*d**3 - 2*d**2.\nAnswer: 11*d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2. Let t(y) = 3*y + 3. Let c(g) = -t(g) + 4*u(g). Let b be 28\/10 + (-3)\/(-15). Let v(w) = w**2 + w + 1. What is b*v(l) + c(l)?\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-10)\/75*2)\/(4\/102). Let y = 57\/10 - r. Which is bigger: y or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 21.4, -3, 5\/9, -4, -2\/11, 3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_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: Factor 5*y**3 + 30760*y**2 + 61505*y + 30750.\nAnswer: 5*(y + 1)**2*(y + 6150)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1394, 2436, 3488, 4556, 5646, 6764, 7916?\n\"Answer: a**3 - a**2 + 1038*a + 356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 82156752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 232*t + 312 + 39*t - 308 to q + a*t and give a.\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 3*a + 68, 3*i + 13 - 43 = -3*a. Let y(q) = 2*q**2 - 14*q + 21. Let o be y(i). Calculate the highest common divisor of o and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2*z**4\/3 + 218*z**3 + 21642*z**2 + 1841554*z\/3 + 3926208 = 0.\nAnswer: -143, -32, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26 + 29. Suppose h*p = 5 + 37. Calculate the highest common factor of 42 and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/4 - 43\/(-4). Suppose -o - 3*o - s = -a, -9 = 4*o - 3*a. Suppose 0 = 3*x + x + 8. Sort o, 5, x in ascending order.\nAnswer: o, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + z**2 - z + 2. What is o(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -6*u - 2*c + 25, 0 = -4*u - c + 25. Let h = -15 - -15.1. Put h, -0.2, u, -2\/7 in descending order.\nAnswer: u, h, -0.2, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*((-60)\/5 + (-1 - 2)). Suppose -2*z - t = -o - 32, -112 = -3*z + 2*t. Find the common denominator of z\/120 - 9\/36 and -53\/21.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of -u**4\/12 + 13*u**3\/6 - 12*u**2 - 4*u. Let i be m(11). Let v(t) = t**2 + 5*t + 1. Give v(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 divided by -140.\nAnswer: 17\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -3*n**2 + 171*n + 174 = 0.\nAnswer: -1, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 35*b**3*k + 471493*b**3 + 3*b**2*k + 2*b**2 + 1691509*b*k - 2 wrt b.\nAnswer: 210*k + 2828958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*r - 321 + 283 = 391 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of -h**6\/660 + h**5\/110 - 4*h**3\/33 + 87*h**2. Factor t(z).\nAnswer: -2*(z - 2)**2*(z + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4425093, -4425092, -4425091, -4425090, -4425089, -4425088?\nAnswer: -4425087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-65*g - 261*g**2 - 264*g**2 + 64*g)*(-1 + 1 + 3*g) to s*g**2 + n*g**3 + y*g + w and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 83 - 87. Let y(r) = r**2 + 3*r - 1. Let b(l) = 2*l - 1. Give x*y(i) + 3*b(i).\nAnswer: -2*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*b - 667 + 266 - 273 = 675 for b.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (8 - 13) - (-6 + -4 + -9 + 7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -803037 less than -803036?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 3323 divide 184147368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -74*f - 114. Let v(i) = -66*i - 71*i + 136*i. Let q(t) = -m(t) - 3*v(t). Find the first derivative of q(z) wrt z.\nAnswer: 77","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - 8. Suppose 2*d - 2 = t. Suppose -2*m = -d*h + 2, 2*m - 4*h = h - 6. Solve 2*y - 3*y = m for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**6*v\/((v**(-1\/14)*v)\/v)*v**5*v\/(v*(((v\/((v*v**(1\/4)*v*v*v*v)\/v))\/v)\/v)\/v*v*v) assuming v is positive.\nAnswer: v**(485\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2631, 2682, 2733?\nAnswer: 2784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 8) + (13 + 3 + -35 - -8).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29 - -28.5. Which is the closest to 1\/5? (a) 1\/2 (b) n (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6 from -104000330.\nAnswer: -104000336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 d, 1 v, and 1 h when four letters picked without replacement from {f: 4, h: 1, d: 7, v: 6}.\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 33*a - 66. Let n be x(2). Solve n = -32*j - 202 - 22 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a + 1. Let q be t(-1). Suppose q*n - 30 = -5*n. Calculate the highest common divisor of n and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -228964*z - 72. Let s be r(17). Let q be -1 - (-4)\/6 - s\/(-39). Is 4\/14 - q\/119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 427113 - 148706. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 89564?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 17\/4 + (-1)\/4. Suppose -4*a - 4*v - 12 = -2*a, -4 = 4*a + o*v. Suppose 36 = a*k - 4*u, -2*k + u = 2*k - 24. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 7*o**2 - 35*o - 24. Let u(b) = -3*b**2 + 17*b + 12. Let i(l) = 2*c(l) + 5*u(l). Let r be i(15). Differentiate 7*w - r + 22*w - 13*w wrt w.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3489*k - 12*k**3 - 704*k**2 + 1042*k - 896 + 639*k.\nAnswer: -4*(k + 2)*(k + 56)*(3*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j - 4306 = 8*j + 2*b, -2*j + 4320 = 5*b. What is the thousands digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of 143\/270*m**5 + 72*m**2 + 121\/1080*m**6 + 4\/27*m**3 + 23\/54*m**4 + 0 + m. Suppose d(j) = 0. Calculate j.\nAnswer: -2, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**3 - 5*i**2 - 6*i - 5. Let f(s) be the second derivative of -2*s - 1\/2*s**2 + 0 - 1\/6*s**3 - 1\/12*s**4. Calculate 5*f(z) - y(z).\nAnswer: -2*z**3 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1213.1 (b) 5 (c) -10 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/u**(3\/10))\/u**(2\/25))**(-12\/11))**(-1))**(-3\/38) assuming u is positive.\nAnswer: u**(-279\/5225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 14*f + 70. Let c be d(-5). Calculate the remainder when 6 - (c + 4) - -655 is divided by 66.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -51170 by -80.\nAnswer: 5117\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1041.\nAnswer: 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-5) - (2 + -2). Let w = 583 + -582. Put w, 5, v in ascending order.\nAnswer: v, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3571.31 - -3578.31013. Let m = 12 + -19. Let c = v + m. What is c rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - 9*t**2 + 184*t + 1269. Determine a(-6).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 193 a factor of 70817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 119 = 21. Is 20\/z - 106\/(-14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 3*v - 3*n, 2*v + 48*n - 47*n = 4*v - 1 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 + -6.2. What is the closest to i in -4, 4, 0.3, -0.05?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2.95 (b) -3 (c) -0.1 (d) -5 (e) 0 (f) 3 (g) 0.0102\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 136.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 t when two letters picked without replacement from toot.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1225331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 50 + -31. Let n = x - 13. Suppose -2 = 2*k + w, -2*w - n = 2. Let s(r) = 2*r - 1. Calculate s(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 3*q**2 + 4. Let m(i) = 7*i**2 + 9. Suppose x = -10 + 1. What is x*p(c) + 4*m(c)?\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10426509?\nAnswer: 3, 31, 12457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -98 (b) 2\/19 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*o + 23 = 188. Solve -3*k = -o - 1 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of -3*j**4\/4 + 48*j**3 + 147*j**2\/2 - 111. Factor m(l).\nAnswer: -3*l*(l - 49)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44332245?\nAnswer: 3, 5, 541, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/4 - 2) + (6 - 3). Suppose -5*p + 4*p = -h - 12, -3*p + 5*h + 44 = 0. Suppose i - 9 = -2*a, n*a - p = -2*i + 2. Which is bigger: 3\/19 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 - (43 + 0) - (1 + -46).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -h*k**3 - h*k**2 + h*k + 3*h - 13642127*k**3 + 2323*k**2 + 6*k + 83 wrt k.\nAnswer: -6*h - 81852762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1932 + 1930.3. Sort q, 41, -0.2 in descending order.\nAnswer: 41, -0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 16*n**3 - 865*n**2 + 56*n - 111. Give d(54).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 2*d = 4*l - 4, -3*d = 3*l + 51. Let h be (84\/16)\/(d\/(-32)). Find the first derivative of -64*x + 33*x + h - 36*x**4 + 31*x wrt x.\nAnswer: -144*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114228.\nAnswer: 2, 3, 19, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 5*y + 90. Let v be (-4)\/(-18) - 64\/(-36). Let d(o) = 2*o + 1. Let w be d(v). What is the highest common divisor of y and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -960.69 - -894.939. Round x to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 133 - -188. List the prime factors of d.\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 185 divide 8695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + 2 + (24 - 15) - (-3 + 4 - -1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -49\/11, -5, -0.5, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 19012.\nAnswer: 190120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxu when three letters picked without replacement from ouxxo.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a centimeter in micrometers?\nAnswer: 67500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/3 + (-6)\/(-18) + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, y: 1, o: 4, l: 1, j: 2}. What is prob of picking 2 o and 1 p?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(125) + sqrt(125)*2)*1 + 4 + (-1 + sqrt(125)*-2 - sqrt(125)))**2.\nAnswer: -180*sqrt(5) + 4509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2105559426?\nAnswer: 2, 3, 23, 15257677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 12:47 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1967 + (-5)\/3*(-75 + 72)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 6 = 2*i + 6*z, 5*z = 5*i - 45. Let c(a) = -5*a**2 + a - i - a**3 - 7*a**2 - 6*a**2 + 12*a**2. What is the units digit of c(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -1. Suppose -3*h + 1 = -w. Suppose -h*z = -0*z - 66. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/20*1948\/(-2). Let r = -97 - n. Let j(x) = x**2 + x - 12. Let a be j(-4). What is the biggest value in a, r, -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of 7*f**5\/4 - 205*f**4\/8 - 215*f**3\/4 + 95*f**2 + 65*f + 5595. Let y(a) = 0. Calculate a.\nAnswer: -2, -2\/7, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l + 9. Let m be h(11). Let p be (-2)\/m - (-16)\/(-24). Which is the biggest value? (a) -1\/6 (b) -0.4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-3*sqrt(34)\/(sqrt(2)*-1) + (1*(sqrt(68) - (sqrt(68) + sqrt(68)*-1 + sqrt(68))))\/(sqrt(4) + sqrt(16)\/(sqrt(4) + sqrt(8)\/sqrt(2) + sqrt(4))))**2*-5.\nAnswer: -765","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 51523174 to the power of 1\/3, to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.0797884 and 6147.4394?\nAnswer: 6147.3596116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -20 > -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iii when three letters picked without replacement from qiiiiqqi?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1055 and -150.375661?\nAnswer: 1205.375661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1359*p + 247*p = 1221*p - 172900 + 18922 for p.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9235 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2615 and 624651849.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*p + 940100000 = 109*p. Round p to the nearest one million.\nAnswer: -55000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -54.4 - -54. Which is the closest to 0.07? (a) 1\/7 (b) 0 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*z + 20*z + 346540 = 0. Let b = z + -31308. Round b to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -52*s - 6. Let j be g(-8). Suppose 5*w - 1144 = -3*n, 4*w - j = 4*n + 518. Let c = w - 164. Is 22 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4 and 1891.\nAnswer: 1895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2293\/20 - 229\/2. Let r(x) be the third derivative of 2\/25*x**5 + 0 + n*x**4 + 1\/75*x**6 - 3*x**2 + 0*x + 2\/15*x**3. Factor r(a).\nAnswer: 2*(a + 2)*(2*a + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -35c - 2e?\nAnswer: -38a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/(-7) + 1 - (-38)\/(-133). Let w be (-1 + -14)\/(3\/(-10)) + l. Is (-8)\/(-6)*(-1 + w) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 9 = -34. Calculate the lowest common multiple of 5 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*i = 38*i + 46*i + 510 + 1258 for i.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 35 + 13 = 0. Let m = a - 18. Let j = m + 7. Is j <= 3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(600) + (sqrt(600) + sqrt(600)*-4)*-2 + sqrt(600))\/((sqrt(96) + -2*sqrt(96)*3 + sqrt(96) - sqrt(96))\/sqrt(12)).\nAnswer: -8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72185589.\nAnswer: 3, 7, 1145803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.383819kg to nanograms.\nAnswer: 4383819000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -154 - 140 + h**2 - 137 + 432 - 17*h. What is o(7)?\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002307223506 rounded to 5 decimal places?\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 714\/(-17) + 60 + -20?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - d + 1 = 0, -4*c + 8 = -2*c - 3*d for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -491.70907 to zero dps.\nAnswer: -492","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3*4*(sqrt(3) + -1 + sqrt(3)) - -3*sqrt(192)*-2)*3.\nAnswer: -108 + 648*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 183407571.\nAnswer: 3, 29, 78079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 106 = 109 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 102 and 1499934?\nAnswer: 25498878","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: 2672\/240 + 56\/(-420)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -3*w - 6. Let g be v(-8). Let o be (-212)\/(-18) - (-4)\/g. Suppose 15 = 3*m - 39. Calculate the highest common divisor of m and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/27, 0.092, 6, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -399\/1252 or -1?\nAnswer: -399\/1252","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a micrometer in nanometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3217 + 3222. Let l(r) be the second derivative of -21*r + 0 - 41\/30*r**6 + 0*r**3 + 0*r**j + 0*r**4 - 19*r**2. Differentiate l(k) with respect to k.\nAnswer: -164*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-43 + (-2108)\/(-51))*((-11 - -2) + 2). Factor 1\/3*s**3 + 37\/3 + g*s**2 - 73\/3*s.\nAnswer: (s - 1)**2*(s + 37)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z - 2*z + 4*z)*(3 - 3 + 2)*(z**2 + 3*z**2 - z**2).\nAnswer: -12*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 52 - 52. Solve -5*a - 10 + l = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y**3 + 10*y - 2. What is the least common multiple of m(7) and 476\/16*(-3248)\/(-6902)?\nAnswer: 5278","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1012 + 2201222?\nAnswer: 2200210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 3 - 153. Suppose -s + 162 = 2*z. What is the least common multiple of z and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12996 divided by -19.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 46 + -33. Suppose -14*m + z*m + 5 = 0. Suppose -3 = -m*r + 3*l, r - 4 = -2*l + 7. Solve 2*q - y + 6 + 4 = 0, -2*q = -r*y + 10 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3513)\/(-2342)*30\/153.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/14 - (-550)\/(-35). Let v = p + -161. Let m = -86 - v. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 < 141\/91?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 723 and 195933?\nAnswer: 723","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*q**2 + 0 - 1 + 0.\nAnswer: -90*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -1113\/92 and -13 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_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: What is the next term in -350880, -1403456, -3157750, -5613762, -8771492, -12630940?\nAnswer: -17192106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25189.\nAnswer: 25189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 16119 - 52146 = 0. What are the prime factors of l?\nAnswer: 5, 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(33)\/(sqrt(11)*-2 + sqrt(11)) + 1.\nAnswer: -4 - sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 PM and 4:21 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -11*z + 20, -z - 122 = -b - 138. Factor 0*l + 0*l**2 + 3\/7*l**z + 0 - 6\/7*l**3.\nAnswer: 3*l**3*(l - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*j - 2*f, 0 = 2*j - 2*f - 0*f - 8. Let w(u) = -u**2 + 0*u + u + 3*u**2. What are the prime factors of w(j)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 4*r. Let j be t(-1). Let l = j - -8. Let k = -27 - -32. Solve -l*p = p + k for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 5 + 4)*(0*h**2 - 5*h**2 - 2*h**2) - h**2 + h**2 + h**2)*(0 + 2*h + 0).\nAnswer: -26*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 1720.\nAnswer: 1720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -231 + 392. List the prime factors of p.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o + 1. Let l(p) = 12*p + 2. Let w(j) = -2*i(j) + l(j). Let u(z) be the third derivative of -z**5\/15 + 106*z**2. What is w(u(y))?\nAnswer: -40*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**7\/m)\/(m\/(m\/(m**(-2)\/m))))\/(m**3*m**(-3\/2)))**(4\/7) assuming m is positive.\nAnswer: m**(30\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 - 8*c + 9. Let j(y) = y**3 - 9*y**2 + 8*y - 10. Let f be j(8). Let b be w(f). Calculate the common denominator of -35\/6 and 6\/(-1*2\/b).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*p - 52*p = w - 20, -3*w = -p + 4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/(sqrt(6)*-2 - sqrt(6)))\/sqrt(12)*-3 + 0.\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1597.5 (b) 2\/7 (c) -2 (d) -1\/12 (e) -0.16 (f) -5 (g) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2353 + 0.179. Let t = 0.051 + x. What is t rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of p**3 - 3*p**2\/2 + 4*p - 19. Let f(v) = -5*v**2 + 6*v - 7. What is -4*f(b) - 7*j(b)?\nAnswer: -b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 5:50 AM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -366 - -365. Suppose 5*i = -0*i - 10, 4*i = -4*w + 504. Let p = w + -1281\/10. Which is the nearest to m? (a) 4 (b) p (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92813 is divided by 3200.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(1\/23)\/(u**(-2\/41)\/u) assuming u is positive.\nAnswer: u**(1030\/943)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11130369 divided by 5.\nAnswer: -11130369\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28081 is divided by 13865?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.1 (b) 15 (c) -0.3 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 AM and 3:53 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -9 - 9. Let d = -15 + 51. Let a(n) = n**2 + d - 66 - 6*n + 33. Determine a(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 PM and 12:21 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4*5\/10*(-1)\/1. Which is the second smallest value? (a) f (b) 16 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5172 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -274*u**4 - 207*u wrt u.\nAnswer: -3288*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*f - 79658 + 80694 = 0 for f.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 134 - 26. Suppose 0 = 3*k - 6*k + z. Let r(y) = -y**2 + 10*y - 7. What is the units digit of r(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1594198 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 128160356 rounded to the nearest 10000?\nAnswer: 128160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 6:49 AM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-11 + 3) - 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7680 and 31832.\nAnswer: 30558720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13*g**2 + 24 - 24)*(-g - 2*g + 2*g) - 2*g + 2*g + g**3 + 2*g**2 + 5*g**3 - 2*g**2 in the form n*g + k*g**3 + p + x*g**2 and give k.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from {o: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2022)\/1348)\/((-1)\/2))\/((-3)\/85).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4848 divided by 6?\nAnswer: 808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*v + 70 + 20 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.02062 - -11.89438. Let a = l - 12. What is a rounded to 2 dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*a + 2*a**3 + 23*a + 58*a - 3*a**3.\nAnswer: -a**3 + 90*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h - 10*h + 7*h + (0 + 1 + 0)*(-h - 9 + 9) to v + g*h and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*s - 47*s + 30 = -18*s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -0.1 (b) -0.1081 (c) -0.3 (d) -20 (e) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1493128675 + -772329450. Let u = -720799285.9999959 + s. Let x = u + 61. What is x rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - 22*p**2 - 20*p + 14. Determine y(-21).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*n + 280 - 280 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 15*j**2 + 17*j - 12. Let o be x(16). Sort o, 9, 0.3, -0.1 in decreasing order.\nAnswer: 9, o, 0.3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 103*x**2 - 25*x + 8218. Let l be a(-104). Let b = 0.2 - -0.8. Let d = -8 + 11. What is the nearest to b in l, d, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -7245\/90424?\nAnswer: -7245\/90424","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8319302778 rounded to 5 decimal places?\nAnswer: 0.83193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 33acd (base 14) in base 2?\nAnswer: 11110101010110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/((l\/((l**10*l*l)\/l))\/l))\/l*(l*l**(-7))\/l*l)\/((l*l**(-4))\/l*l**(1\/3)))**(-9\/4) assuming l is positive.\nAnswer: l**(-39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o - 2. Let i be u(-5). Suppose 0 = 3*y + 5*b + 6, 2*y - i*b - 11 - 4 = 0. Suppose 5*p + 131 = y*j + j, 0 = 3*j + p - 103. Is 11 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 1, -6, -4, 325, 27 in ascending order.\nAnswer: -6, -5, -4, -1, 1, 27, 325","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*a + 7743 - 1095. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 610819 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*p + 4*p - 19 + 103 + 34*p**3 wrt p?\nAnswer: 102*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 p, and 1 m when three letters picked without replacement from pmcmp.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s. Let t be -1*(0 + 3) - -5. Let b(g) = -4*g + t*g + 3*g + 0*g. What is b(m(q))?\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l - 9. Let b be p(6). Suppose 0 = z - 4*z + b. Suppose -z*v + 3115 = 45415. Round v to the nearest one thousand.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1\/3 - 376\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gvb when three letters picked without replacement from gvvb?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/15 - 155194*k**2\/15 + 620752*k\/15 - 620744\/15.\nAnswer: 2*(k - 77593)*(k - 2)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4409 (base 10) to base 2\nAnswer: 1000100111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-9) + 313601\/477. Suppose 4*g + 2*c + c = 544, 2*c + m = 5*g. Is g a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2103\/6*2 - -4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - -5 - (-4 + -4 - -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 1282605?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*y, -3*n - 5 = 2*n - 5*y. Suppose 3*o + 2*g = -3, -2 + 3 = -5*o - n*g. Which is the closest to o? (a) 2\/9 (b) -2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2357 is divided by 1098?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 327792416?\nAnswer: 2, 7, 1463359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 225\/1050*((-24)\/(-15))\/(4\/30)\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 3:10 PM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 10 = -2*o, 3*o = 4*h - 35 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-394)\/(92196\/6669) + 30\/(-4)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10640 and 207160?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 66 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, f: 7}. Give prob of picking 2 j and 2 f.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 668.0000287 + -668. What is k rounded to 6 decimal places?\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -12\/37?\nAnswer: -12\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 5102*w - 168578. Determine r(33).\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of -2*c**3 - 16 + c - 1\/2*c**2. What is j(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19343126 * -0.2.\nAnswer: -3868625.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 175 and 15?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of 0*b + 0 + 0*b**3 - 1\/8*b**4 - 6*b**2. Let h(p) = p**2 - 2*p. Let d(t) = -t. Let n(k) = 2*d(k) - h(k). Give u(n(f)).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-7000)\/(-10))\/25 + -26)\/((-2)\/(-28))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 29.5, 2\/23, -0.4, -1.\nAnswer: -1, -0.4, 2\/23, 0.2, 29.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -89144026*t**3 + 22395993*t wrt t?\nAnswer: -534864156*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*v, -2 = -4*w - 2*v + 2. Suppose w*l + l = 42. Suppose z + 4*p - 30 = 0, 2*z - 3*p - 12 = 4. Calculate the least common multiple of z and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 16*k**2 + 17*k + 3. Let w(z) = -z**3 - 14*z**2 - 15*z - 3. Let o(c) = -5*l(c) - 6*w(c). Determine o(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18043759?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a**2 - 50*a - 121. Let t be r(-22). Solve -33*x - t = 55 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 - 10*c**2 + 8*c + 11. Suppose -4 = -3*h - 19, 0 = -5*y - 4*h + 25. Let f be o(y). Solve -f*b + 4*b + 8 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 4*d - 27. Suppose d + 3 = -4*w. What is the second smallest value in 0, w, 5, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -6*m + 9. Let p be v(-7). Suppose 4*i - i = p. What are the prime factors of i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 231858989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 14.896104 months?\nAnswer: 0.01241342","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2700 and 18?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8544 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13441\/11046 - -2\/789. Let a = 5\/2 + z. Find the common denominator of ((-115)\/(-25) - 6)\/(6\/195) and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -38 (b) 1\/4 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 82417104041 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1397 - 2?\nAnswer: -1399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 374.3 - 342.3. What is the nearest to w in -3, 1\/10, -4?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 543 - 23. What is k rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6939*f - 6948*f + 13888*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*n + 2*r, -4*r + 4 = -n - 2*r. Suppose -n*c = -x - 9, 2*x - 17 = -3*c - 2. Let z be c\/2 - 42\/(-28). Solve 5 + 7 = z*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00022544 to six decimal places.\nAnswer: -0.000225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-13488)\/(-72) - 3\/36*4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 127 + 44 = 0. Does 9 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*w - 12 = 95*w. Solve 3*u = -w*u - 3*b - 2, -2*b = 4*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.04087 - 0.04080245. What is z rounded to 6 decimal places?\nAnswer: 0.000068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124 + 243*u - 105*u - 31*u - 65 - 105*u - 59.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zywfzzzzz. What is prob of sequence wyz?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*a = -92*a + 57*a - 216 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 73649666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (350\/(-6615))\/(25\/(-210))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = 4*m - 5, -99*z = -3*m - 95*z - 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 2969 + 6581. Round a to the nearest 100.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -285 + 292. Is ((-780)\/p)\/(38\/(-133)) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 8:17 AM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-69)*1\/2*2\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 82\/9 - 592\/63. Which is greater: 1 or g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 6:41 PM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(-1\/6))\/v*v*v**(1\/5)\/v)\/(v**(3\/7)*v\/(v**(-1\/5)*v)))\/(v\/(v*v**(-8))*v**2*v)**(1\/11) assuming v is positive.\nAnswer: v**(-53\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/4)\/(2\/(-12)). Suppose 3*i + q = 6*i. Let a = 0 - -4. Solve 0 = 2*j + j + a*r + 11, -7 = -i*j + 5*r for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3581 + -3710. Are -133 and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 234.43 - 1.43. Let y = 233.000001551 - i. Round y to seven dps.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 6 = 4*s - 3*u, 5*u = -2*s - 23. Let j be (1 - (3 + -1))\/1. Sort s, -2, j in descending order.\nAnswer: j, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -380 + 3884\/9. Let u = n - 154\/3. Factor -u + 1\/9*t**2 + 1\/9*t.\nAnswer: (t - 1)*(t + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 8 = 2*a, 4*z + 4*a = -456. Let y = -68 - z. Let n(w) = 3*w**2 - 31*w - 154. Let x be n(-7). What is the greatest common divisor of y and x?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000012073738 to seven decimal places.\nAnswer: 0.0000121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26940168 is divided by 49?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9928783*w + 2940 = 9928713*w for w.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*p**2 + 12*p**2 + 8*p**2 - 18*p**2 + 12*p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 less than -12837951?\nAnswer: -12838011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4b (base 15) in base 11?\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*(-72)\/(-264))\/((-12)\/(-352))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/(r*r\/(r*r**(5\/4))))\/r)\/r**(-3\/19) assuming r is positive.\nAnswer: r**(107\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5108634.\nAnswer: 2, 3, 283813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/17 less than or equal to 667800?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 7*j**2 + 5*j + 19. Let p(x) = 2*x**3 - 11*x**2 + 8*x + 29. Let v(b) = -7*i(b) + 5*p(b). Let c be v(5). Let r = c - 131. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52828.758 rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2 + 10 - 14*o + 22*o**3 - 179*o**2 + 179*o**2. Let f(m) = -15*m**3 + 9*m - 5. What is 8*f(v) + 5*g(v)?\nAnswer: -10*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 82, 142, 222, 328, 466?\nAnswer: 642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2119\/21 - -93019\/924. Calculate the common denominator of (-410)\/468 + (-16)\/(-104) and j.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 3. Let c(r) = r**3 + 5*r**2 + 1. Let l be c(i). Sort l, -5, 2.\nAnswer: -5, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.24916574 to three decimal places.\nAnswer: 0.249","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.4 + 0.9. Let l = 0 - a. Let s = 9\/13 - -3\/52. Put l, s, 3\/2 in increasing order.\nAnswer: l, s, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 5 + 0)*(14*z + 57*z - 22*z) + z + 4*z - 4*z to the form t*z + f and give t.\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 19*d**2 + d + 80. Calculate the remainder when s(19) is divided by 31.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 471 = -2*h - 49. Suppose i = 5*u - 5 - 0, i + 3*u = 19. Find the common denominator of -19\/10 and (2\/32)\/(i\/h).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.025, -5, -5\/6, 1, -3\/2 in decreasing order.\nAnswer: 1, -0.025, -5\/6, -3\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2428*z + 2428*z - 9704*z + 2*z**4 + 2425*z - 7*z**2 + 1 + 2426*z - 6*z**3 as d*z + o*z**4 + v + u*z**3 + j*z**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a week in minutes?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 + 18*g - 28. Let j be q(16). Which is the second smallest value? (a) j (b) 5 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(4 + sqrt(147) + 0 + sqrt(147) + sqrt(147) + 5 - (5 + sqrt(147) + 1 + sqrt(147) + sqrt(147) + sqrt(147) + 2)))**2*4 + -2.\nAnswer: -896*sqrt(3) + 9470","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.024201 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (433 - 354) + (5 - (-16 - 3))?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = 4*w - 23 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 107 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1576796808?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 e when two letters picked without replacement from fekrpkoe?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(15\/7)\/o**(5\/3) assuming o is positive.\nAnswer: o**(10\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1888*p**2 + 23*p - 10639*p**2 - 50*p + 27*p.\nAnswer: -8751*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15050 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49516 + -34555. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence id when two letters picked without replacement from {g: 2, h: 2, d: 1, i: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46 + (21 - (11 + 33))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 368*m**3 + 1327*m**3 + 1703*m**3 + 1308*m**3.\nAnswer: 4706*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1012 - 127 = 59*z for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (147*y**2 - 278*y**2 - 45*y**2)*(4*y + 0*y - y + (1 + 0 + 0)*(5*y - 2*y - 2*y)) in the form o*y**3 + b*y**2 + l*y + v and give o.\nAnswer: -704","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 270 = 2*d, 8*d = -3*x + 3*d + 409. Suppose -3*t - 5*g = -x, -3*t = -2*g + 3*g - 113. Calculate the least common multiple of t and 24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-2*sqrt(84) + sqrt(84) + sqrt(84)) + sqrt(84)*2*6 + sqrt(84))\/(-2*(sqrt(120) - (sqrt(120)*1 + sqrt(120)))\/sqrt(10)).\nAnswer: 13*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of b**5\/60 + b**4\/6 + b**3\/3 + b**2. Let l(j) = 5*j + 44 + 38 - 4*j - 84. Let r be l(-2). What is q(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*p - 14. Suppose -5*x = -p*x + 30. Is 10 at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 8:59 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 6\/17 (b) 4 (c) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 30.35 + 0.37\nAnswer: 30.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 4*h = 19, -2*a - 46007*h = -46011*h + 18 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 2 f when four letters picked without replacement from fjffjffjjfffff.\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -165 - -180. Solve 0 = 6*l - 9*l + c for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1099 + 1099 + 132*o**2.\nAnswer: 132*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 8*c**2 - 10*c + 7. Let u(k) = -k**2 + 9. Let w be u(0). Let g be l(w). What is the smallest value in g, 1, 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 43660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -10. Let v be -170004 + (2 - 0) - i. What is v rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 0 = 2*i. Let x = -17 + i. Let h = x + 26. List the prime factors of h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36 - -26. Let c be 18\/10 + (-2)\/i. What is the third derivative of -2*f**2 - f**c + 2*f**5 - 4 + 4 wrt f?\nAnswer: 120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-8)\/a*a*a*a**(2\/3))\/(a**(4\/3)*a**8\/a) assuming a is positive.\nAnswer: a**(-44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 19 = -1 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**3\/4 + 73*u**2\/2 = 0. What is u?\nAnswer: -146, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 952219510 to the nearest integer?\nAnswer: 30858","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 119 and 1003?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, s: 5, o: 1, p: 1, j: 7}. Give prob of picking 2 s, 1 p, and 1 e.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7\/2 of a gram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6145237*x**6 - 70158353*x**2 wrt x?\nAnswer: 737428440*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 1111000?\nAnswer: -1110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -48*d**2 + 9*d + 84. Let j(b) = 191*b**2 - 33*b - 335. What is 3*j(u) + 11*t(u)?\nAnswer: 45*u**2 - 81","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-104 + 87 - 140)*(-2*k**2 + 5*k**2 - 2*k**2 + (0*k + 0*k - 3*k)*(3*k - 2*k + k)).\nAnswer: 785*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 9*j**2 - 15*j. Let p(u) = 2*u**2 - 4*u. Let v(a) = 15*p(a) - 4*x(a). Let g(d) = 2*d**2. Determine g(v(s)).\nAnswer: 72*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -521.527454 rounded to 0 decimal places?\nAnswer: -522","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 256204755 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 487\/2686?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c - 6. Let g be b(-6). Let t be 3\/(-12) - 3\/g. Suppose 2*y + 0*y - 14 = t. What are the prime factors of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 5. Suppose f*l + 4 + 6 = 0, 5*l = -3*g - 19. Suppose -i + 9 - 3 = 0. Solve g = 4*o + i for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*x**3 + 46*x**3 + 66*x**3 + 137*x**3 - 40*x**3 + 25*x**3.\nAnswer: 222*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 22101 (base 6) to base 11\nAnswer: 2333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 1\/(-3) + 374*6\/36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 502068, 1004100, 1506132, 2008164?\n\"Answer: 502032*r + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 531 = 4*i, -2*s + 3*s + 5*i + 196 = 0. Let w = s + 4343\/24. What is the biggest value in -1, -3\/8, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -53*z + 16*z + 0*z**2 - 5*z**2 + 4*z**2 in the form v*z**2 + a + q*z and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 + j - 1. Let g(o) = 2*o**2 + o - 1. Determine -5*c(b) + 3*g(b).\nAnswer: b**2 - 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5349702, -5349790, -5349936, -5350140, -5350402, -5350722?\n\"Answer: -29*i**2 - i - 5349672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6 - 2*66100\/(-24). Let j = 364109\/66 - c. Calculate the common denominator of j and -5\/54.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + 0)*5)**2.\nAnswer: 2925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of 0 + 0*y**4 + 0*y - 1\/60*y**6 - 2*y**2 + 0*y**3 + 1\/30*y**5. Factor w(x).\nAnswer: -2*x**2*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1137302.\nAnswer: 2, 19, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -d + f + 6, -3*f - 21 = -5*d. Solve -5*n = -4*l + 5*l - 22, l = -d*n + 12 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2379.53*-38.6.\nAnswer: -91849.858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*v = 71*v - 20. Sort v, 10, -3 in descending order.\nAnswer: 10, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l - 12*l + 4*l)*(4 + l**2 - 4)*(28*l - 41*l - 71*l).\nAnswer: 336*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 275 = -2*r, 2*x - 196 = r - 11. Which is smaller: 951\/10 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-14)\/(-12) - (-2 + 3). Let k = -6 + 7. Is k >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2. Let q(k) = k**2. Let p(b) = q(b) + 3*u(b). Let l = 42 + -40. Let d(z) = -2*z + l*z - 3*z - 3*z. What is p(d(w))?\nAnswer: -72*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*r + 6*r. Let i = -4 - r. Let h(t) = -9*t**2 + 6*t - 6. Let f(s) = -10*s**2 + 7*s - 7. Let b(k) = 5*f(k) - 6*h(k). Give b(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/((-7)\/2 - -4). What is the tens digit of (35 - (-4 - -3)) + f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g**3*l**3 - g**3*l**2 + 12*g**3*l - 26*g**2*l**5 wrt l?\nAnswer: 6*g**3 - 1560*g**2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 658 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of 1\/33*u**3 + 1\/660*u**6 + 0*u + 0 + 1\/110*u**5 + 1\/44*u**4 - 6*u**2. Suppose c(k) = 0. Calculate k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = -4*b - 17*v, 29*b - 6 = 30*b - 4*v + 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -998 = -5*s + 2917. Does 29 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 199592, 1596646, 5388608, 12772934, 24947080, 43108502, 68454656, 102182998?\nAnswer: 145490984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4653 - -10982. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**2 + u**4 + 0*u**2 + (-6 + 5 - 6)*(u**4 + 0*u**4 - 3*u**4).\nAnswer: 15*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2*h - 92 = 0. Let u = h - 27. Let s be -18*(u - (-10)\/3). Solve -2*m = -5*m + s for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 737480 and 4654.\nAnswer: 9587240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 3*o + 32 = 0, 2*o - o = -5*q + 29. Let v = 35 - 33. Calculate the remainder when q is divided by v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/1*15\/(-30)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(5\/(100\/12)). Suppose -f*l + 8*i = 3*i - 30, i - 10 = -3*l. Calculate the least common multiple of l and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14954 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -760167437\/3 - -4842266690291\/19110. Let s = 1249\/2 + -795615\/1274. Let u = n + s. Calculate the common denominator of 43\/4 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/9 (b) -2 (c) 1\/2876 (d) 3614 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6141a70 (base 11) to base 3.\nAnswer: 202102022121002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129665107 is divided by 4420?\nAnswer: 4407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17 - 12 - 22)*(-1 + 3 - 1)*(6*r - 4*r - 5*r) to the form v + c*r and give c.\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2 = -5. Do g and -1\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l - 8 + 8 + 2*l + 0*l - l + 0*l - 2*l + l - 3*l + l + l + (0*l + 3*l - l)*(2 - 1 + 1) - 2 + 2*l + 2 to q + a*l and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (8 - 4) - 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 969 is divided by 104.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4207 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/8)\/d**(5\/6))\/(d**(-10)\/(d*d**(-4))) assuming d is positive.\nAnswer: d**(145\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6193 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 4*a + 3. Let b(m) = m. Determine 3*b(j) - i(j).\nAnswer: -j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8955, -8943, -8923, -8895, -8859, -8815?\nAnswer: -8763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 50*v + 4415. What is q(-89)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -45*d. Let i be h(-1). Suppose -2*p + 3*a = -0*a - 27, -3*p + 30 = -a. What is the highest common divisor of p and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 l when four letters picked without replacement from tlllflttlttllllll?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2*z + 0*z - 22 = 0, -3*d - 9 = z. Let i = -2 - d. Solve i*o - 5*o + 6 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 312897?\nAnswer: 3, 13, 71, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 34\/307145?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d + 3. Let s be h(1). Suppose -3*a - 17 = -4*r, s*r + 0*r = 20. Let f(y) = y**3 - 4*y**2 - 5*y - 1. Let c be f(5). Sort c, 2, a in decreasing order.\nAnswer: 2, a, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*n + 3. Suppose j + 76 + 3 = 3*o, -5*j - 59 = -n*o. Suppose 0 = -5*b + 4*t + o, 3*b - 16 - 2 = 3*t. Let x(w) = 2*w + 5. Give x(b).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 220 divided by 11.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9)\/((-57)\/(-19)*(-8)\/6 + 3). Solve h = -3*q + 21 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 27213.88922 to 0 dps.\nAnswer: 27214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-189)\/(-1176)*(-4)\/(-3))\/(3\/(-16))?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of i**3\/3 + 12. Let u(d) = 8*d**2. Calculate u(w(v)).\nAnswer: 8*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + v = -2, 7*v - 2*v + 5 = 0. Solve -b + g + 4 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 364*y - 363*y - 4*k - 9, -2*y = -4*k - 2 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -7\/6 (b) -2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 4*z - 19 - 879, 229 = z + 2*f. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38530, 38533, 38536, 38539, 38542?\nAnswer: 38545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.01 and -0.127261.\nAnswer: 0.00127261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -12\/23?\nAnswer: -12\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 142*l - 9 + 142*l + 140*l - 416*l as h*l + j and give j.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*o - 5392 + 3433 = 244*o + 11340 for o.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 16*z**2 - 7*z - 31. Does 36 divide w(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 7*h = -2*p + 11, -5*p + 20 = 0. Let o(r) be the first derivative of -2*r - 3*r**2 - 1\/2*r**4 - 2*r**h - 1. Factor o(v).\nAnswer: -2*(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 49 (b) 2\/5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 1\/3 (c) -88 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 22848 to the power of 1\/2, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 7:20 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 4245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1595c8 + -3?\nAnswer: 1595c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 22*z**4 - 31*z**2. Let l(k) = -k**4. Let j(b) = -3*l(b) - y(b). Find the third derivative of j(h) wrt h.\nAnswer: -456*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k**(-2\/5)))**(-24)\/(k**(2\/3)*k\/k**(-2\/5)*k*k*k) assuming k is positive.\nAnswer: k**(-44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -1533*g**3 + 4*g - 11. Let m(t) = 768*t**3 - 2*t + 6. Give -11*m(f) - 6*v(f).\nAnswer: 750*f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 6:57 AM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 8*f**2 + 3. Let g be i(-8). Find the second derivative of -h**3 - 4*h**g + 0*h + 4*h wrt h.\nAnswer: -30*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide ((268\/(-14))\/(438\/(-25550)))\/((-2)\/(-15))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-533)\/65 + 8)*80\/(-28). Suppose 8\/7*s**3 + 0 + l*s + 18\/7*s**2 - 30\/7*s**4 = 0. What is s?\nAnswer: -2\/5, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5216129.\nAnswer: 5216129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 145\/2 + -1309\/18. What is the closest to -1 in c, -0.2, 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.32 and -0.15149.\nAnswer: 0.0484768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 539*z**2 - 1 - 2*z + 265*z**2 + 0 + 260*z**2 to n*z + i + t*z**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -156*h. Let s(c) be the third derivative of 47*c**5\/60 - 2159*c**2 - 4*c. Calculate s(f(x)).\nAnswer: 1143792*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8954, -17566, -26178, -34790, -43402, -52014?\n\"Answer: -8612*s - 342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwddd. What is prob of picking 2 w?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do -183576559 and -183576559 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17850 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -0.2. Suppose 3*m = f - 141 + 105, 4*m = 3*f - 53. Which is the biggest value? (a) k (b) 5 (c) -2 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/50 + (-63)\/1575. Let z = 1.2 - 0.2. Which is the third biggest value? (a) -3\/2 (b) z (c) i (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 29700 and 2970?\nAnswer: 29700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 3*o + 4793 + 489, 5*y = 4*o + 6603. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2057 - -2165. What is the remainder when 652 is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 69.4 + -59. Round q to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11557240 a multiple of 540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 30*f**2 + 64*f + 2. Let q(o) = 17*o**2 + 36*o + 1. Let m(c) = -9*a(c) + 16*q(c). Let n(y) = -1. What is -m(v) + 2*n(v)?\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y - 5*y + 7*y)*(y**3 + 4*y**3 - y**3) - 4*y**4 + y**2 + 0*y**4 + 2*y**4.\nAnswer: 18*y**4 + y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 208.\nAnswer: -3\/104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -79800 rounded to the nearest one thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100 + 111?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 e, and 1 k when three letters picked without replacement from keka?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**21*k**9 assuming k is positive.\nAnswer: k**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/3 + 32*y**2\/3 - 110*y\/3 + 76\/3.\nAnswer: 2*(y - 2)*(y - 1)*(y + 19)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -511 + 360. Let s = -147 - w. Let d(n) = n**2 - 3*n + 4. Let m be d(3). Solve u - s = -2*j + 6, 4*j - 4*u = -m for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7, b: 9}. Give prob of picking 1 b and 1 h.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 3*v + 66 = -2*i, 0 = i - 5*v - 30. Suppose 5*a = -0*a + i. Solve a*f + 0*f = 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (116\/(-22))\/((-1870)\/30855)*((-4)\/(-2))\/6.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17355690 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, 2, -9, 5 in descending order.\nAnswer: 5, 2, 1, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 561594408.\nAnswer: 2, 3, 23399767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -545*a + 2097*a = -10215*a - 2392*a + 1430059 for a.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 5*b = 0, -3*z + 5*b - 40 = -0*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/10*600\/(-48)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2782116761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -174*k**3*x - 25900571*k**3 - 715736*k*x wrt x?\nAnswer: -174*k**3 - 715736*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-129)\/(-27) + 2\/9. Suppose -8 = w - j*w. Suppose -48 - 31 = w*f + 5*o, 2*o + 135 = -3*f. What is f rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21100000 = 7*v - 17*v. Round v to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -309 = -4*p + 551. Let a = -137 + p. Is 13 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y + 3 - 3 + (y + 0*y - 4*y)*(-1 - 3 - 1).\nAnswer: 17*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3*y + 1135. Let q(t) = -t + 566. Determine -4*b(z) + 7*q(z).\nAnswer: 5*z - 578","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -494 - -494. Suppose -t + 582 + 131 = j. What is the hundreds digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0)**27\/((j**1\/j)\/j)**41*(j**(-1\/4))**(-8\/11)\/(j\/(j\/((j**0\/j*j)\/j)))**(-14\/9) assuming j is positive.\nAnswer: j**(3923\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + 89*x**2 - 5679*x + 133. What is y(43)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -77 + 78. Suppose 0 = -3*k - 7 + d, 0 = -2*s + 4*k - 14. Which is smaller: -12 or s?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*q**3 - 24432*q**2 - 27864404*q + 27888840 = 0. What is q?\nAnswer: -4590, -1519, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from noodondvvoonooo. Give prob of picking 2 v.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73 divided by 5.\nAnswer: 73\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) 2 (c) -1 (d) -4\/5 (e) -0.05276 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.6 - 0.4. Let d = -71.89 - -73.89. Which is the nearest to d? (a) r (b) -2\/3 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k**2 + 8*k**2 - 8 - 7*k**2 - 6*k**2.\nAnswer: -10*k**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 10) to base 12\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5780409 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2912 - 554*w + 2910 - 155*w.\nAnswer: -709*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wjwwwgwgwgwgw. What is prob of picking 1 j and 2 g?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6156?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9507, -18827, -28149, -37473, -46799, -56127, -65457?\nAnswer: -74789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, u: 1, d: 2, l: 1, g: 4, z: 3}. What is prob of sequence dgzd?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 679800?\nAnswer: 2, 3, 5, 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.192359 rounded to two dps?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (2 + -2*sqrt(112) - (1 + sqrt(112))*2))**2.\nAnswer: 96*sqrt(7) + 1801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/7440 and 67\/7440?\nAnswer: 7440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 6. Suppose c - d*f = 25, 4*c + 5*f = -c + 25. Calculate the greatest common factor of c and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 3:40 PM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (54\/(-45))\/((-8)\/(-40)). Let f(y) = -y - 9. Determine f(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -31 - 9. Suppose 60 = 5*a + r*a. Solve -3*p = -3*m + 6, a*m - 2 = -0*p + 2*p for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 8612256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - 3. Let d(q) = 3*q - 11. Let a(h) = h - 4. Let f(p) = 11*a(p) - 4*d(p). Let v(z) = -2*z + 1. Determine u*f(w) + v(w).\nAnswer: 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(68)*-1)*-4 - (0 + -4 + 1*sqrt(68)))**2*2.\nAnswer: 1224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 1 - (-7 - (-2 - -2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of 145 - 37\/4*b**4 - 34\/3*b**3 + 1\/2*b**2 + 0*b. Find the third derivative of d(t) wrt t.\nAnswer: -222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 301 = -4*p, -7*n = 4*p - 12*n + 319. Let h = p - -100. What is the least common multiple of 3 and h?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -331 divided by 2?\nAnswer: -331\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o - 9. Let z be x(-13). Suppose 8 = z*y - 20. Calculate the remainder when y is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = f + 11, 70*b = 65*b - f - 26 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 11:28 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*d - 10*d + 3*d to the form n + g*d and give g.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zecwzjr. Give prob of sequence ww.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of 2*s - 4\/3*s**3 - 1\/180*s**5 + 4 + 6*s**2 + 5\/36*s**4. Factor g(z).\nAnswer: -(z - 6)**2*(z - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(68) - (0 + 1*sqrt(68))) + (sqrt(68) - 6*sqrt(68)*1 - 2*(sqrt(68) - sqrt(68)*1)**2).\nAnswer: -10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1900) + -2)*6 - sqrt(1900)) + 6*3*sqrt(1900) + 4)**2.\nAnswer: -3680*sqrt(19) + 1005164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 138 and 20?\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of 4 + 0*x**2 - 1\/4*x**4 + 0*x**3 - 6*x. What is the first derivative of z(w) wrt w?\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -17*o**2 - o + 9. Let h be k(-3). Let r = h + 215. Is 22 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -6*m + 221. Calculate r(36).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 201, 404, 607?\n\"Answer: 203*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 1451224?\nAnswer: -1451222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 613*f - 66821. What is h(109)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from innininniiinnniinnin. Give prob of sequence ni.\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -464\/5997 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.27 + -3.49. What is t rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -56728*n**5 + 467*n**2 - 40*n wrt n?\nAnswer: -3403680*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*x + 27*x = 7*x + 319130. What are the prime factors of x?\nAnswer: 2, 5, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 45.2 * 0.59.\nAnswer: 26.668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 5*a + a + 6 - 2*a**2 - a to p + o*a + r*a**2 and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-6))\/(96\/448)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1146910 to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 4*y = 143, 5*g + 312 = -2*y + 83. Calculate the common denominator of -29\/2 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3\/8 (b) -3\/4 (c) -0.4 (d) 4 (e) -2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*j + 49 + 51 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2*v = -90. Does 10 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -13314?\nAnswer: 13324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 171*b**2 - 12*b - 4. Let j be h(-2). Let d = j + -51. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (9\/10)\/(12\/(-10)). Let h be (-3)\/(-10)*10\/15. Let b be -3 - 0 - 11\/(-4). What is the closest to 2\/5 in i, h, b?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 - 11*y**2 + 5. Let s be 1\/3 - 412\/12. Let v be (-1 - s)*1\/3. Let i be t(v). Solve 0 = i*o - 10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*b**2 + 7*b**2 - b**2 + (-2 + 2*b + 2)*(-b + 0 + 0))*(-3*b**2 - 2*b**3 + 3*b**2 + (-b**2 - 2*b + 2*b)*(-2*b + 3*b - 2*b) + 0*b**2 + 2*b**3 + 0*b**2).\nAnswer: 14*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 11*b + 5)*((0 + 0 + b**2)*(-b**2 + 4*b - 4*b) - b**4 + b**4 - b**4 - 14*b**4 - 57 + 57).\nAnswer: -176*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from advdjoy. Give prob of picking 1 j, 1 y, and 1 o.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a (base 16) to base 11.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 599 - 578.64. Let m = -20 + o. What is m rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - ((-21 - -23) + (2 - -2)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 130471 and 3226192.\nAnswer: 35488112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/7 in 0.3, 1583.6, -1\/3, -3\/5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -55.7 + 55.4. What is the smallest value in 1\/3, 23\/4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 11, -9, -51, -121?\nAnswer: -225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -6*(-1 + sqrt(2)) + -1*(0 + sqrt(2) + sqrt(2))*-5 - ((2*sqrt(98) + -3)**2 - (sqrt(20)\/sqrt(40) - ((sqrt(20) - sqrt(20)*-1)\/sqrt(10) + sqrt(2)))).\nAnswer: -397 + 171*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/2 - 122*r - 1659\/2.\nAnswer: -(r + 7)*(r + 237)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25986 and 150304.\nAnswer: 32014752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-312)\/(4 + 4) + (-2964428)\/(-76028)?\nAnswer: -2\/229","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -48, -97, -146, -195, -244, -293?\n\"Answer: -49*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((1*sqrt(363)*1 - sqrt(363)) + sqrt(363))*-4 + (sqrt(96)*2)\/sqrt(8) + ((sqrt(300) + 0)*-3)**2.\nAnswer: -40*sqrt(3) + 2700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (85\/51)\/((-5)\/(-6))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - q - 167 + 36, -q + 37 = n. What is the lowest common multiple of n and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 2*p**2 - 5*p + 11. Let o be j(3). Let r(i) = -i**3 + 4*i**2 + 4*i - 3. Determine r(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -70 + 72. Suppose k*s = 3*c + 2, 3*s - 2 = 4*s - 3*c. Calculate the remainder when 11 is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2409430215 to the nearest integer?\nAnswer: 1341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/6)\/(1\/(-10)). Let t be ((-3)\/q)\/(-7 - 201\/(-30)). Solve 3*u + t*u + 20 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 57*w*y**2 + 20*w*y - 11690291*w - 3*y**2 - 757*y wrt y?\nAnswer: 114*w*y + 20*w - 6*y - 757","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -67, -63, -47, -13, 45?\n\"Answer: x**3 - 3*x - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 2.39937?\nAnswer: 0.479874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 14469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/55? (a) 1 (b) -1\/2 (c) 3 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -82, -2\/3, 3\/2 in decreasing order.\nAnswer: 3\/2, -2\/3, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.6, 1\/4, 0.31, 0.052, 4\/7?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 215 = -4*c + 5 - 100, -26*c + 7*t = 2*t + 336 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/83 or -191?\nAnswer: -191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2470 is divided by 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 22 - 18 - u - 6. Determine t(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -3*g**2 - 4*g. Let c(a) = -5*a**2 - a + 53. Give -c(j) + 2*y(j).\nAnswer: -j**2 - 7*j - 53","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5749747.2 nanoseconds in days?\nAnswer: 0.000000066548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 11 - 9 = 0. Let f(l) = -l**2 - l + 13. Let q be f(0). Let d = -8 + q. Solve -o - v + d = 0, 0 = -4*o + 3*o + 2*v + t for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*y**2 + 5*y**2 - 16*y**2 - 17*y**2.\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 - 6*x - 2. Let i be f(-4). Suppose -c + 2*j + 12 = 0, -c = 3*c + 4*j. Suppose 7*d = c*d - i. Which is greater: -1\/2 or d?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 866 = -56*k + 51*k, 0 = k - 3*m - 178. What is the lowest common multiple of k and 946?\nAnswer: 1892","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of -z**5\/50 - z**4\/10 - 2*z**3\/15 + 3*z - 6. Let w(o) be the first derivative of f(o). Factor w(v).\nAnswer: -2*v*(v + 1)*(v + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30231102001 + -12?\nAnswer: -30231102013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of -h**6\/2 + 5*h**4\/4 + 99*h**2\/2 - 9. Find the second derivative of o(b) wrt b.\nAnswer: -60*b**3 + 30*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 8) + -2 + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 15 - 153. Let m = 8 - 7. Calculate the common denominator of 9\/6 - (-1)\/m and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s. Let z(t) = -496*t**2 - t. Calculate r(z(g)).\nAnswer: 992*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21617550 and 670?\nAnswer: 21617550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = -5*z + 10*z - 71, 1122*z - 1125*z + 48 = 2*p for p.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 9) + (8 + -7 - -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + sqrt(13) + 1 + sqrt(13) + 1 - ((sqrt(1300) + (sqrt(1300)*1)**2 - sqrt(13)) + sqrt(13)).\nAnswer: -1298 - 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1296931840?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a decade in months?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of 5*b**4 + 25*b**3\/6 + 8*b - 13. Let w(d) = -5*d**2 - 2*d. Determine -4*u(q) - 50*w(q).\nAnswer: 10*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 2.071227 millimeters?\nAnswer: 0.000002071227","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000315757744 rounded to 7 decimal places?\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_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: Let l = -72 + 211\/3. Which is the third biggest value? (a) -1 (b) 3\/4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/(35\/91) + 2 + -1. Let q(u) = -u**3 + 12*u**2 + 31*u - 3. Let t be q(a). Let s(x) = 3 + x**2 - t*x + 72*x - 44*x. Calculate s(8).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 - 14. Let o(a) = -8*a - 13. Let m(q) = 12*q + 11. Let b(u) = 5*m(u) + 6*o(u). What is the remainder when b(g) is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 6*d**2 - 9. Let t be u(-6). Suppose z = -3*c - 0*z + t, -c + 5*z = -85. Is 7 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 11*q**2 + 17*q - 16. What is d(-8)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 692, 4 in decreasing order.\nAnswer: 692, 4, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/5*5\/14?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + 0\/(0 - -2). Let n = 53 + -38. Suppose n = z*o + o. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*b**3 + 165*b**2 - 322*b**2 - 3*b**3 + 157*b**2.\nAnswer: -9*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0236 - 19.9764. Which is the closest to x? (a) -4 (b) 2\/7 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31 + -20. Suppose -2*g - 15 = 3*g, -2*r + 13 = -g. Calculate the least common multiple of r and d.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**3*a*a)\/a**(-4))\/(a*a**0*a*a**(-5))*(a**1*a)**(-32)*(a*a\/a**(-4\/5)*a)\/a**(3\/2) assuming a is positive.\nAnswer: a**(-497\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2219830, -4439662, -6659494?\nAnswer: -8879326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/52 and 67\/752?\nAnswer: 9776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 19159*z + 9438*z + 2 + 9724*z.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2606 (b) 2 (c) 0.2 (d) 0.4 (e) 4\/7 (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 182*w**2 + 2. Let k(c) = c**3 + c**2 - 1. Determine -2*k(z) - v(z).\nAnswer: -z**3 + 180*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 44.804 * -1.228\nAnswer: -55.019312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - 5*z + z)*(z + 5*z + 0*z) - 41*z + 3*z**2 + 41*z.\nAnswer: -21*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of -3*r**2\/2 + 37. Let p(t) be the first derivative of -t**3\/3 - 1. Determine p(o(d)).\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + sqrt(11)*2 + sqrt(11) + 1)**2 + 0 + sqrt(176).\nAnswer: 12*sqrt(11) + 177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*(0\/(-3) - -1). Let f(u) be the first derivative of 1\/3*u**c + 2 + 0*u + 0*u**2 + 1\/2*u**4. What is the third derivative of f(x) wrt x?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1100300301 (base 4) to base 13\nAnswer: b7753","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ngccqcdccqngs. What is prob of picking 1 n and 1 g?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 75*f**4*z + 189*f**4 + 6*f**3 - 21*f**2*z + f + 45*z + 77 wrt f.\nAnswer: 1800*f*z + 4536*f + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**15*b**(1\/26) assuming b is positive.\nAnswer: b**(-363\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5236357673 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/84)\/(180\/144)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(10\/3)\/k)*k*k**(9\/11))\/(k**(-7\/3)*(k*k**(-1\/8)\/k)\/k) assuming k is positive.\nAnswer: k**(347\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -2\/33 (c) -0.19 (d) -5 (e) 7795\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - (33 - (0 + 1)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 19*i - 70. Let p be u(0). Let h be (-680)\/p + 2\/7. Let z(t) = t**2 - 10*t - 10. What is z(h)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2059178 a multiple of 169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z**2 - 7*z. Determine r(-5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 375266476 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m - 3*m + 4*m + (-4 + 0 + 2)*(2*m + 3*m - 3*m) + 1 - 1 - m - 2*m + 2*m - m + (2*m + 1 - 1)*(-2 + 0 + 3) + 0 + 20*m + 0.\nAnswer: 15*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3 = -q - 5*h, 2*h - 1 = -3*q. Is q > 3\/182?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 902332 is divided by 225570.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4163?\nAnswer: 23, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44290 - -44290.5. Let w be (-18)\/(-70) - 4\/10. Sort w, 1\/6, -1, l in decreasing order.\nAnswer: l, 1\/6, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0893 and 5.1.\nAnswer: 5.0107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, 6, -6, 684, 24 in ascending order.\nAnswer: -6, -3, 3, 6, 24, 684","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -183669156.4 to the nearest 1000.\nAnswer: -183669000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/(100\/715) - (-3)\/12. Is 0.11 >= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/5 + -1 + 78\/20*-2\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 500\/517 or 1?\nAnswer: 500\/517","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -413 - -858. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f**2 + 13*f + 9. Give a(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((513\/(-18))\/19)\/9.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 5 = 29. Let f be 1556\/28 + y\/7. Let d(j) = -f*j**2 + 58*j**2 + 4*j + 12 - 9. Let k(c) = -13*c**2 - 17*c - 12. Determine 9*d(x) + 2*k(x).\nAnswer: x**2 + 2*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 517.07m in millimeters?\nAnswer: 517070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 11, h: 2, w: 6}. Give prob of picking 3 z.\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.1, -2147, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -363 + 812. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -51 - -7 - -18 - -17.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 o when two letters picked without replacement from ooyuaooooyoooo?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 1:54 AM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 34.918, -3\/2, -1\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 75685.72cm?\nAnswer: 756857.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10.1 and 2?\nAnswer: -20.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 59133820489 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 218599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6870)\/(-330) + -24 + 3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**0*n)\/n)**(-24\/5))**45 assuming n is positive.\nAnswer: n**(-216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of r**6\/60 - r**5\/10 + r**4\/8 - 2*r**3\/3 - 7*r**2. Does 20 divide b(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4159289 (base 10) to base 2.\nAnswer: 1111110111011100111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, -61, 110?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/13, 1\/8, 1, -68, -1, -1.3 in decreasing order.\nAnswer: 1, 6\/13, 1\/8, -1, -1.3, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 2 = 4*l, 5*t + 4 = 2*l - 0*t. Let s be (2 + -1)\/(7\/2). Which is the closest to s? (a) 0.1 (b) l (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u - 6. Determine f(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -73108 + 73105. Let w(k) = -7 + k + 0*k - 6*k. Calculate w(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -147, -180, -213, -246, -279, -312?\n\"Answer: -33*h - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 39710 to the power of 1\/2, to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 267572.2ml to litres.\nAnswer: 267.5722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -419*o + 1866825 = 1879395 for o.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16648110?\nAnswer: 2, 3, 5, 97, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 6. Sort n, -4, -9 in increasing order.\nAnswer: -9, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 45*m - 1486. Give s(33).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-19)\/4*(10 - -2). Let j = a - 212. Round j to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 - 20. Solve d*q + 0*o = 2*o - 25, -4*q = 3*o + 20 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/16 and -17\/638?\nAnswer: 5104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.09, 0.5, -0.5, 0.1, 2 in ascending order.\nAnswer: -0.5, 0.09, 0.1, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) -9213226 (c) 3\/5 (d) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 371263750 and 2275?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 12:51 PM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 5.7236\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 763996531.\nAnswer: 677, 1128503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15.1 - 2.6. Let k = 15.5 - n. Put 17, -2\/9, k in descending order.\nAnswer: 17, k, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-69) + (58002\/(-483) - -111)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0552 + 250.9448. Let y = -245 + z. Which is greater: y or -0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*s**4 + 3*s**3 + 10*s**2 + 26*s?\nAnswer: -216*s + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -227346, -4, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -456, -451, -442, -429, -412?\nAnswer: -391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -391770 divided by 65295?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/15*a**3 - 14\/15*a + 2\/5 + 2\/3*a**2 = 0. What is a?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tl when two letters picked without replacement from lllltlllltl?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -87, 0, -1?\nAnswer: -87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 219620 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102210011 - 101?\nAnswer: 102202210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-336)\/(-54) + (-2)\/9. Let b be -16 + (47 - -9) - 1*-8. Calculate the greatest common divisor of b and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s**3 + 12*s**2 - 9*s + 11. What is y(5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4242 + 4245. Let d(f) be the third derivative of 1\/24*f**4 - 1\/8*f**i + 0*f - 1\/240*f**5 - 20*f**2 + 0. Factor d(q).\nAnswer: -(q - 3)*(q - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 92\/(-14) + (12 - 6)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*h - 35*h = 371. Suppose 49663 + 44730 = h*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + 1\/((-4)\/(-8)). Suppose m - 4*g + 2 = 1, -r*m + 2*g = 2. List the prime factors of (-57)\/m + -3 + 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/5))**(8\/7)\/(w**(3\/5)\/((w\/(w**(-8)*w))\/w)) assuming w is positive.\nAnswer: w**(208\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2856040, 2856041, 2856038, 2856031, 2856020?\n\"Answer: -2*g**2 + 7*g + 2856035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(99) - (-1*sqrt(99) - sqrt(99)) - sqrt(99)) + sqrt(99) + (sqrt(99)*1*1 - sqrt(99)))\/((sqrt(90)*-2*3)\/sqrt(10)).\nAnswer: -5*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -137199856*g**2*v**3 + 926*g*v**3 - 27294*g wrt g?\nAnswer: -274399712*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 201544 and 277123?\nAnswer: 2216984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 38113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2057964 is divided by 2254.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 20 = -4*m. Let q = -2121 - -2124. Solve h - m = 5*k, 5*k + 18 - q = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5543 rounded to two dps?\nAnswer: -0.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -15. Let v = 12.9999 + r. What is v rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 382bab4b + 5?\nAnswer: 382bab51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.03399919 + -0.034. Round x to seven decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-48)\/3 - (-2 - -1). Let p(j) = j**3 + 6*j**2 + j - 5. Let g be p(-5). Let s = g + x. Solve s - 4 = -l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**3 + 6*x**3 - 11*x**3 + (x - 3*x + 0*x)*(-6*x**2 + 4*x**2 + x**2))*(5 - 2 - 5).\nAnswer: 6*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41 and -89\/2138?\nAnswer: 2138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 105 and 4185705?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 370.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -20, -2*x - 81 = -4*p + x. Let i = p + -23. What is the third biggest value in i, 3\/2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + (0 - -4) - 3. Solve -3*t + x = -w + 2*t, 3*w - 4*t + 3 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gssugqunnqsslgssggsn. Give prob of picking 2 s and 1 n.\nAnswer: 21\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33454448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 471 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 mth term of -181, -182, -177, -160, -125, -66, 23?\n\"Answer: m**3 - 3*m**2 + m - 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, -0.7, 3?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 22*i**2 + 124*i - 45. Let u be q(-6). Which is greater: -852 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1679, 3350, 5021, 6692, 8363, 10034?\n\"Answer: 1671*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**2\/5 - 548*n + 187690 = 0. Calculate n.\nAnswer: 685","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 315098565?\nAnswer: 3, 5, 19, 1105609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -n - 2, -4*n = 2*o + 7 + 1. Suppose 0*q - 5*q = o. Solve p + 11 = -2*s, -s + q*p + 17 = -4*p for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 396 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5251 and 2.\nAnswer: 10502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 16*i**3 - i**2 + 2*i + 10. Let m(x) = 38*x**3 - x**2 + 4*x + 23. What is -14*f(t) + 6*m(t)?\nAnswer: 4*t**3 + 8*t**2 - 4*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 3*p = 3. Solve p = s - 3 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttngpppnpgggptpptg. Give prob of sequence ttn.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 3\/2. Let h = 0.7 + -1. Which is the smallest value? (a) 4 (b) n (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2*w = 1, 5*w - 1 = -28*m + 32*m. Is m >= -2\/8283?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine quarters of a meter in centimeters?\nAnswer: 1475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 e when two letters picked without replacement from qweeoeggewgweg?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 414432118?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2173\/(-574) + 9\/7. Which is the fourth biggest value? (a) -0.4 (b) -0.2 (c) 0.2 (d) f (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f**2 - 2*f**2 + 2*f**2)*(9*f**2 + 17*f**2 + 2*f**2).\nAnswer: -112*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 17694260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1357594 and 32242.\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**3 - 52*p**2 + 51*p - 8. Let l be y(-27). What is the common denominator of 23\/18 - (-1 + -1) and (7\/(-14)*l)\/8?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u*u*u*u**(-12\/11))\/u)\/(u**(-8\/9)\/u*u)*(u\/(u\/(u\/(u\/u**10*u)*u)))**(12\/5))**(1\/19) assuming u is positive.\nAnswer: u**(2653\/1881)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -18, -44, -82, -132?\nAnswer: -194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/3*(2 + -26). Let c(k) = 847*k + 3404. Let l be c(-4). What is the greatest common divisor of p and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15536 (base 8) to base 3\nAnswer: 100121111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*z - 23 - 7 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2389 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 160*l**2 + 12*l + 28. What are the prime factors of j(-3)?\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y**2 + y - 7. Let h(g) = -g**2 + g - 1. Give c(f) - h(f).\nAnswer: -f**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a week in minutes?\nAnswer: 63000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -67390 divided by 13478?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -139\/2 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -50, -79, -50, 73, 326?\n\"Answer: 6*j**3 - 7*j**2 - 50*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + -0.404?\nAnswer: 26.596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-24)\/84 + (-10)\/14. Let u be 5 + 1\/o + 1. Suppose -20 = -4*n, u = 2*a - 5*a + n. Solve -6 = -4*d + 5*h, a = -4*d + 2*h - 3*h + 18 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (3 - 0)*((-3072)\/(-18) + -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2 + 168580*t + 3370000.\nAnswer: 4*(t + 20)*(t + 42125)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(-1) + 91\/132 + (-432)\/576?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 20 = -5*l, -2*l + 4*l = -c + 6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -7*o**2 + 125. Let g(i) = -2*i**2 - 2*i - 1297. Give g(k(t)).\nAnswer: -98*t**4 + 3514*t**2 - 32797","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 26, 83, 194, 371, 626, 971, 1418, 1979?\n\"Answer: 2*q**3 + 15*q**2 - 2*q + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/11 + 892*q\/11 + 4896.\nAnswer: 2*(q + 72)*(q + 374)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 40.095 + -0.095. Let a = d + -39.8. Let b = 5 - 5. Put b, -5, a in increasing order.\nAnswer: -5, b, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62147981.\nAnswer: 7, 8878283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/2*2*0. Suppose -6*v - 23 = -83. Solve 6*u - 2*a - v = u, 4*u + a - 8 = d for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 5 = 4. Does 6 divide (12\/w*-9)\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 114086560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -574 + 1095. Suppose -5*p = -3*u - 3*p - b, 3*p + 356 = -2*u. Let j = -111 - u. What is the highest common factor of j and 160?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -8*u**3 + 288*u - 149*u - 140*u. Calculate k(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c**3 + 37*c**2 - 27*c + 227. Determine n(18).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*w + 88*w - 20*w**3 - 23*w**3.\nAnswer: -43*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -11*i**2 - 17*i - 2. Let d = 1 + 3. Suppose d*a - 138 = 30. Let s = 29 - a. Let f(k) = 5*k**2 + 8*k + 1. Give s*f(h) - 6*p(h).\nAnswer: h**2 - 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 a when two letters picked without replacement from qeqqaaaeeeqqeqqeea.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*3\/2*(-44)\/3. Let n(j) = j - 20. Let m be n(u). Solve w = m - 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26444 - 0.\nAnswer: -26444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-35))\/((-4)\/(-28))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 7) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -13. Suppose -x = 5*t - 4*t. Let m = t + 6. Solve 1 = j - y - 6, j - m*y = 9 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 AM and 7:20 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23325683?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 8:03 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 117575?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 y when three letters picked without replacement from {f: 6, e: 2, d: 1, y: 3}.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5730720168 to the power of 1\/6, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.3019564 + 195.1.\nAnswer: 187.7980436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - -6. Let n(b) = -b**3 - 16*b**2 - 2*b + 10. Let w be n(-16). Suppose -143 = -5*f + w. What is the remainder when f is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2\/15 (b) -0.1 (c) 5 (d) 8 (e) -18529 (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/2669835 and 11\/12984?\nAnswer: 21358680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1183211, 2366416, 3549621, 4732826?\n\"Answer: 1183205*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(-30)*z))\/(z*z**(-28)) assuming z is positive.\nAnswer: z**57","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence adb when three letters picked without replacement from {t: 1, d: 1, a: 1, b: 1, o: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/7*m**4 - 2\/7*m + 12\/7 - 2*m**2 + 2\/7*m**3 = 0 for m.\nAnswer: -3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 462695 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-7 - (2 - 6)) - 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -338*z**3 + 16*z**2 + 12*z + 39. Is j(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.68 + 2.912. Let p = x - 0.2320355. Round p to six decimal places.\nAnswer: -0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*z - 39938 + 39983 - 12*z + 16*z**2 - 19*z**2 to a*z**2 + n*z + o and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 10 - 11*d + 10*d - 28*d.\nAnswer: -29*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -1. Let o(g) = 151 + 15*g - 153 - 12*g. Give o(b) + 2*z(b).\nAnswer: 3*b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 583\/2 + -292. Let w be (-15)\/(-9)*(-4)\/(-20). Which is the third biggest value? (a) 2\/105 (b) w (c) -3\/2 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6836 is divided by 159.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of -6*b - 11 - 5\/3*b**3 - 5\/4*b**4 + 0*b**2. Let u(w) = -4*w**3 - 4*w**2 - 5. Determine -6*n(c) + 7*u(c).\nAnswer: 2*c**3 + 2*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*d - 295 = -1159 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 AM and 4:19 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-12) - 104\/(-6). Suppose 5*k - 4*q - 40 = -0*k, -x = 2*k + 5*q. Solve t - k*t = -15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -3*k - 55. Let m = k - -29. Solve 3*n - 4*q = -3, 5*n + 8 = -m*q - 29 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 498.7406mg?\nAnswer: 0.0000004987406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (2 - 10) - (-12 + 22)) + 9\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, a: 4, b: 1, y: 1}. Give prob of sequence aa.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7155409 is divided by 548.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27137 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/32*-2*32\/(-24)*-46\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 5*x - 8*x - 1160 = 25*x for x.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (317 - 317 + 23*a)*(5 - 2 - 19)*(-a**3 + a**3 - 2*a**3).\nAnswer: 736*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*m + 5*m - 3*m - 464*m - 721*m - 284*m + 2 - 2 + 2*m - m + 2*m + 0*m + (m + m - 3*m)*(0 - 4 + 2) - 4*m + 2*m + 4*m in the form v*m + j and give v.\nAnswer: -1460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 - 4*j + 3. Let t be g(3). Let x be 3\/2*(2 - t). Suppose z + k = x*z - 5, 2*k + 4 = -2*z. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -429324 by -5111.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18 - 17*n - 28 + 0*n**2 - 9*n**2 + 16*n to the form c*n**2 + h*n + o and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 6:01 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 594 and 5397948.\nAnswer: 59377428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -354 - -2?\nAnswer: -352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(98) - sqrt(98)*1) + sqrt(98))*-5 - (sqrt(98) + 1*(0 + sqrt(98))))**2 - (-3 + (1 + (sqrt(98) + -4*sqrt(98) + sqrt(98) - sqrt(98)))**2).\nAnswer: 42*sqrt(2) + 3922","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 195 and 465?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4 = -5*d - 2, -b - 2*d = -2. Let v = 78 - 4. Suppose 5*h - v = -54. Solve b = -h*s - 10 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from giiiiiiiiiggiii.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 15358*z - 13. Is q(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1111, -8903, -30061, -71275, -139235, -240631?\nAnswer: -382153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.225 rounded to zero decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 952, -4, 6, -3, -1 in descending order.\nAnswer: 952, 6, 3, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 + 7*b - 7. Calculate a(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12 + -1442562?\nAnswer: -1442574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 1 + -4 + 27 + -12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**2 - 4*y**2 - 2*y**2 + (-4*y + 2*y - y)*(81*y - 25*y - 9*y) - 2*y**2 + 2 - 2.\nAnswer: -148*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l**4 + 39559600*l**3 + 118678735*l**2 - 158238340*l = 0. Calculate l.\nAnswer: -7911917, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jpjp when four letters picked without replacement from jjjjpjjpjjjjjjjjjjjj?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -737, 2\/13, -7.55 in descending order.\nAnswer: 2\/13, -7.55, -737","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 218*a + 45 - 11 - 19 - 15 as i*a + o and give i.\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**4 - 2*c**4 + 6*c**4)*(-152*c + 88*c - 100*c).\nAnswer: -164*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o + 5. Let v be k(8). Suppose 4*p = -14 + 2, 3*l = -4*p - 12. Let j be ((-48)\/(-24))\/(0 - (l + -1)). What is the closest to 0.06 in v, j, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23688 and 2721096.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.3 - -0.8. Let l = -1.1 + -7.9. Let f = l + 4. Sort y, 0, f in increasing order.\nAnswer: f, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -27417.985 (b) -0.1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31592389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 261581\/33 - 7926. Calculate the common denominator of a and -73\/147.\nAnswer: 1617","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -3466?\nAnswer: -3504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -0.3 (c) 8\/7 (d) 140\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.94 - -0.14. Let j = -1 - o. Which is the third biggest value? (a) 2\/7 (b) j (c) 5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15933 - 15938. Let s = 1 + -0.8. Let p = s - 1.2. What is the biggest value in g, p, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 13132, 13133, 13134?\n\"Answer: r + 13131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -16*n + 207. Determine g(13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + -13 + 1 + (2 - -7) - -3?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t - 2*t - t**3 - 3*t + 3*t**3 in the form f*t**2 + m*t + d*t**3 + y and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16014 + 0?\nAnswer: -16014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -183, -187, -183, -165, -127, -63, 33, 167?\n\"Answer: q**3 - 2*q**2 - 5*q - 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 14) to base 12.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9196 by 38.\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 77657*t**3 + 3*t**2 + 9161*t?\nAnswer: 465942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12504 is divided by 3123.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 83, 77, 87, 125, 203, 333?\n\"Answer: 2*i**3 - 4*i**2 - 8*i + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9.3 + 19.9. Let n = a + -11. What is the second biggest value in -0.1, n, -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -14569858 and -14569858 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*q + 6. Let c be 1528\/56 + q\/(-7). Let m = -9553 - -9561. Solve -5*n + 2*n = 3*v - c, 3*v = 4*n - m for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6905\/3 + -2321. Let m = 1627\/84 + o. Is m at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 661, 764, 867, 970?\nAnswer: 1073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/(-4))\/(-5*1\/(-2)). What is the biggest value in n, -5, -1\/6, -1\/3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 315 - 154 - 154 - 8*l**2 + l**2 - l**2.\nAnswer: -8*l**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 30 - 30 = -5*l, 5*l - 52 = k. Suppose -x = 4*x + l. What is the units digit of (x + 1)*(-2 - 15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*j + 798 = -3*j. Solve -5*v + j*z + 25 = 21*z, -4*v + 20 = -5*z for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 452*g**2 - 6*g. Let y(x) = -1172938*x**2 + 15572*x. Calculate 15572*f(l) + 6*y(l).\nAnswer: 916*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w = -3*h + 78861, 22*w = -3*h + 24*w + 78875. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/3 - 5\/(-3). Suppose 2*i - 15 + 7 = 0. Suppose 3*m + 5*g - 17 = 0, 3*m + 4*g - 12 = i. Solve -m*s = -j*z - 1, 3*s + 4*z - 21 = z for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 1 - 9 + 30*q**2 - q - 33*q**2 + 2.\nAnswer: -3*q**2 - q - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 AM and 4:54 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**3 - 3*v**3 + 5*v**3)*((4 - 4 - v)*(21 - 11 - 14) + 6*v - 10*v - 7*v).\nAnswer: -28*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34 - 33. Suppose k + 3 = -l, -r + 4*k = -2443. Suppose -h + r = 2*h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -171436*k + 514301*k - 171429*k - 171431*k.\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 95004673?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*v + 3*v + 10*v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/17)\/d*(d*d*d**1)\/d)\/((d**(1\/5)*d)\/d*(d\/d**(-2\/3))\/d*d) assuming d is positive.\nAnswer: d**(-191\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 5*s**3 + 8*s**2 - 2*s - 1. Let f(h) = 6*h**3 + 9*h**2 - h. Let q(d) = -4*f(d) + 5*i(d). Let t be q(-5). Let r(u) = -u**2 + u - 7. Determine r(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34 - -11. Let d = p + 128. Suppose 0 = -4*t - t + d. What are the prime factors of t?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 675850? (a) 3 (b) -0.5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-11 - -9) + 1 + -11. Let n = -10 - d. Suppose -5*g + 25 = -z + 6*z, 3*z - n*g = 0. Calculate the smallest common multiple of 4 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 204, 809, 1818, 3231, 5048, 7269, 9894?\nAnswer: 12923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) - 4*(sqrt(252) + sqrt(252) + sqrt(252) + sqrt(252)*-3) - sqrt(252)) + sqrt(252))\/(sqrt(9) + (sqrt(72)\/sqrt(2))\/sqrt(4)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -4, 2*c + 2*o + 5 + 11 = 0. Let a(g) = -2*g - 6. Let t be a(c). What is the second derivative of h**2 + 4*h - t*h + 0*h**2 wrt h?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95375.5s to nanoseconds.\nAnswer: 95375500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-78)\/65)\/(((20\/(-5))\/(-80))\/((-13)\/1014)).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -501160, 2 in descending order.\nAnswer: 3, 2, -1, -501160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*r + 1400 = 52*r. Let h = -13 - -28. What is the smallest common multiple of h and r?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/7, -2\/625, -5, 2, 0, 3\/5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 26\/5*w**2 - 32\/5*w - 168\/5 = 0.\nAnswer: -2, 42\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96935 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n - 5. Let u(c) = -7*c**2 - 45*c + 41. Let f be u(-7). Calculate z(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of 31*h**8\/28 + 112*h**4\/3 + 233*h. Find the third derivative of u(g) wrt g.\nAnswer: 7440*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31 + 22 + 42)*((-3 + 3 - 3*h)*(0 - 2 + 0) + 4*h - 2*h - 3*h)*(-2 + 0 + 1).\nAnswer: -475*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.737447ug in milligrams?\nAnswer: 0.007737447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -9312, -9312, -9310, -9306, -9300, -9292?\n\"Answer: y**2 - 3*y - 9310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.8 + -1.4. Let m = j + -3.6. Let t = 2.2 + m. Which is the closest to 0.1? (a) -3 (b) t (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -0.1, 40, -1, 2\/2179413?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/71 in 10, -0.1, -0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + z - 7. Let c be d(8). Let m be (-10)\/c + 134\/26. Solve 0 = 3*y - 3*h - h, m*y - 3*h = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15 + -12 + (-1)\/(-1). Let k(n) = 3*n**2 + 3. Let t(y) = 2*y**2 + 2. Give x*k(h) - 7*t(h).\nAnswer: -2*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = u + 2*h, 0*u + 3*h = -4*u + 37. Let i be u\/35 - 12\/(-7). Factor -1\/2 + 5\/2*v - 2*v**i.\nAnswer: -(v - 1)*(4*v - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.74 + -0.9. Let v = f - -0.2. Round v to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -13978, 2\/31 in increasing order.\nAnswer: -13978, 2\/31, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j. Let d(z) = -z - 1. Let q(b) = d(b) + y(b). Let p be q(4). Let w = -4 - p. Does 9 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 3*w**2 - 9*w + 2. Let p(a) = 2*a**2 - 6*a + 1. Let v(k) = -5*m(k) + 8*p(k). Let h be v(4). Solve 2 = h*r + 2*t - 0*t, -5*r + 5*t = 45 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2288265?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2 + 4 - 1 - 4. Let h(b) = -b - 6. Let a(s) = h(s) + 6*i(s). Let r(x) = -x - 2. Let d(g) = -g - 3. Let v(z) = 2*d(z) - 3*r(z). Give a(v(j)).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 115*s**3 - 2*s**2 + 2*s - 1. Let q be l(1). What is the tens digit of (2 + q\/(-9))*-3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2 + 63\/14)*(-1 - -15).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + b + 3 = -2*b, 5*v - 18 = -b. Let y be (-6)\/((2 - 4) + 0). Is v\/(y\/17) - -2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 11 + 75. Calculate the least common multiple of 36 and w.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 - 412295*o**2.\nAnswer: -412295*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 2.22\nAnswer: 0.888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7760319960.\nAnswer: 2, 3, 5, 29, 61, 139, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -20650, -20652, -20654, -20656?\n\"Answer: -2*x - 20648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 52311.35 centuries in years?\nAnswer: 5231135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7719, 7696, 7675, 7656?\nAnswer: 7639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o + 4. Let d be j(-4). Let n be (d + 2 - 2) + -2. Let s(r) = -2 - r**2 - 1 - r**2 - 3*r. What is s(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6 + -1 + 6\/(-3). Solve 7 = 3*h - i, -3*h = -5*h - t*i + 12 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/12 and 79\/24420?\nAnswer: 24420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*a + 357 = 49*a. What is the remainder when a is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**4\/7 - 1911*w**3 - 3*w**2\/7 + 40133*w\/7 - 3822 = 0. What is w?\nAnswer: -2, 1, 13377","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 33 + 24*p - 26*p)*((2 + 1 - 5)*(1 + 4 - 3) + 0 - 3 - 3) to d*p + v and give d.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-195)\/52)\/(-4*4255\/184).\nAnswer: 3\/74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12711 and -343.\nAnswer: 4359873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 5*n - 3*t - 14, -3*n - 4*t - 7 = 0. Suppose -2*u = n*x - 562, 3*x - 590 = -u + 6*u. Is x a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, l: 1, k: 1, q: 2}. Give prob of sequence kqlq.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 821, 1639, 2457, 3275, 4093?\n\"Answer: 818*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1)\/2 + -28 + 2 and 5\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -16*v - 493. Let o be u(-31). Solve -30 = -5*s + o*t, -4*s - 10 = 4*t - 2 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1129\/7 - 161. Let u = 4397\/3 - 1467. Which is the second biggest value? (a) u (b) t (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 6*a + 8 + (-1 + 5 + 0)*(0*a + 4 - 7 - 2*a))*(-2*a**4 - 2*a**4 + 5*a**4).\nAnswer: -2*a**5 - 12*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 556 (base 12) to base 9\nAnswer: 1063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m - m + 2 + 4*m + (0 + 4 + 2)*(0*m + 4*m - 5*m))*(-2*m + 3*m - 4*m)*(2 + 0 + 1).\nAnswer: 63*m**2 - 18*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -949 take away -359.549?\nAnswer: -589.451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 3*d**2 - 2. Let s be q(-3). Let t(r) = -r - 2. Let w(j) = 2. Let g(a) = 3*t(a) + 2*w(a). Calculate the lowest common multiple of 2 and g(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-10))\/4*(-24)\/16?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-75 - (16 + -39)) + 29?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of 7*n**3\/3 - n**2\/2 - n - 16. Calculate h(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 13*q**2 + 14*q + 11. What is r(14)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 2*a - a**2 - 5*a + 0*a + 9 = 0.\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 157945121 divided by -504617.\nAnswer: -313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2425 and 2910.\nAnswer: 14550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (10\/10)\/((-4)\/(-3))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -96329, -192661, -288993?\n\"Answer: -96332*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/9*(-6)\/10.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(-19) + (-1*4)\/(-1). Solve d = -3*s + 14 + 5, -d + r*s = 16 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -0*f. Let h(o) = o**2 - 8*o + 9. Let a be h(7). Suppose f*x - z = -x + 20, -a*x = 4*z - 58. Does 10 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 13, -3, 2, -2, 31 in descending order.\nAnswer: 31, 13, 2, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 158*i + 251. Let z be v(8). Let t = z + -965. List the prime factors of t.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0 (b) -369 (c) 0.026 (d) 64\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -172, -234, -296?\nAnswer: -358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-16)\/(-24) - 3\/(-9))*-81. Which is bigger: o or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 172034 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = q - 4*u, 36 = 5*q - 4*u. Solve 1 = -q*y + 9 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48 - -45 - (-4 - 1)) + (0 - -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -8*o**2 + 2*o + 1. Let a(z) = -z**2 - 12*z - 15. Let b be a(-10). Suppose 5*r = -b*h - 15, h - 4*r + r = 5. What is j(h)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15.9 + -2.1. Sort -2, 6, s in descending order.\nAnswer: 6, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 9 = -5*m, 5*m - 9 - 16 = 0. Let y(i) = 7*i**3 + 3*i**2 + 3*i - 1. Let f be y(-4). Let z = f - -7849\/19. What is the biggest value in h, 0.5, z?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 13011202816\nAnswer: -13011202820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 15*q**2 - 16*q + 25. Let i be w(14). Let s be (3 - (0 - i)) + -2. Let u(j) = 3*j**2 - j - 2. What is u(s)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40, -110, -218, -382, -620, -950?\nAnswer: -1390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-920190)\/54270 + 17 - 4\/(-134)\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 47\/4 of a century?\nAnswer: 14100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36163 - -36171. Let h(g) be the third derivative of -g**4\/6 + 4*g**3\/3 - g**2. Determine h(j).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1890*t**3 + t**2 + 894*t wrt t?\nAnswer: -11340*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of (60\/14)\/(15\/140)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifteen quarters of a century?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 AM and 2:09 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - -28. What are the prime factors of p?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 21, 49, 77, 105, 133, 161?\n\"Answer: 28*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 788321 = -27*t + 47*t - 2539139. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -7*m**3 + 7*m**2 - m + 31. What is the units digit of t(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9 - -2*1)\/((-15)\/375). Let l = 256 - o. Does 27 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 147, 128, 91, 30, -61?\n\"Answer: -i**3 - 3*i**2 - 3*i + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of -3*y + 0*y**3 + 3 + 0*y**2 + 2\/3*y**4. Let f(p) be the first derivative of n(p). Let k(l) = l**2. What is f(k(c))?\nAnswer: 8*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 33615385 + 27?\nAnswer: 33615412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2936503 and -335037.\nAnswer: -3271540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2142 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26 by -689350.\nAnswer: 13\/344675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -30*z - 4. Let o(d) = -15*d - 2. Let j be (28\/(-8))\/((-1)\/2). Let n(l) = j*o(l) - 3*k(l). What are the prime factors of n(-2)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t*t\/t**(-10)*t)**20)**(-3\/17))**(6\/17))**(5\/14) assuming t is positive.\nAnswer: t**(-11700\/2023)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2269230 is divided by 1134350.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus -0.0044?\nAnswer: -0.1956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of -25*k**4\/4 - 52*k**3\/3 - 53. What is the third derivative of f(o) wrt o?\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25.5 + -25.617. Let j = v - -0.15. Round j to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - 32144?\nAnswer: -32200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*r - 42*r = a - 14, -a - 4*r + 24 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000271197559 rounded to six decimal places?\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a micrometer in nanometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -42 + 71. What is the remainder when 124 + (-16)\/8 + -11 + 3 is divided by p?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -5*d**3 - 114615*d**2 + 458520*d - 458540 = 0?\nAnswer: -22927, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(70)\/sqrt(90) + -4.\nAnswer: -4 + sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/(-40) - (-2)\/8. Suppose m = y + 2*c - 10, c + 0*c - 30 = -3*y. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109 - 121 - 83*y**2 - 1145*y + 1148*y.\nAnswer: -83*y**2 + 3*y - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 13 = -14. Let a(n) = 5*n**2 - 14*n - 7. Let y(j) = 6*j**2 - 14*j - 7. Let l(q) = f*a(q) - 2*y(q). Is l(12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4775148\/5, 0.2, -0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5054 = 25*y - 123*y - 35*y for y.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.04 - 0.006. Let q = k - 3.654. Let f = q + 6. Round f to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 1543\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 149 + -147. Suppose -5*j - t = -1683, -3*j - r*t + 0*t + 1014 = 0. Is j a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -32 * -489.7.\nAnswer: 15670.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 2*r - 3*t + 8, 5*t - 15 = 0. Suppose 2*j + r*j + 2*h = 28, 0 = 3*j + 4*h - 16. Suppose 3*n = n + j. Is 4 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25821807 and 519?\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3 - 33832*h**2 + 67658*h - 33828.\nAnswer: 2*(h - 16914)*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*m**2*o**2*u - 106175*m**2*o**2 + 21*m**2*o - m**2*u + 186*m**2 + 27*m*u + 4*o**2 + 3*o wrt o.\nAnswer: -30*m**2*u - 212350*m**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h**(-3\/8)*h)*h))\/(h*h**(2\/9))*(h*h\/(h**(-1\/4)*h))**(-44) assuming h is positive.\nAnswer: h**(-4075\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) - (sqrt(104) + sqrt(104)*1 + sqrt(104)))*-2)\/(sqrt(32)*-3) - ((sqrt(104)\/sqrt(8) + 1 + sqrt(143)\/(-1*sqrt(11)))**2 + -5).\nAnswer: -2*sqrt(13)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + y = 4*y + 73, 30*y = -5*v - 53*y - 2080 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + (-105)\/(-20))*-6*-6?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - v - 18174 + 3212 = 0, 4*v + 12 = 0. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -45\/193?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -46.2 + 46. What is the smallest value in 4, 1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 15. Let k(o) = 57*o**2 + 5*o - 5. Let h(w) = 86*w**2 + 8*w - 8. Give z*k(c) + 5*h(c).\nAnswer: -26*c**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iq when two letters picked without replacement from iiqiiiiiiiiqiiiiiii.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -51.465 and 4940.\nAnswer: 4888.535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22435311 is divided by 117?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46\/(-23)*(-3)\/(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5440, 5459, 5490, 5539, 5612?\n\"Answer: f**3 + 12*f + 5427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212.6208 hours to microseconds.\nAnswer: 765434880000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 4.1\nAnswer: 0.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6)\/4*(-208)\/12?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-5) - ((-32)\/(-300) - (-17)\/(-425)). What is the third biggest value in j, -5\/8, -0.5, 16?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, c: 1, r: 1, x: 2, k: 1, l: 1}. What is prob of sequence xcrl?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28 - -48. Calculate the greatest common divisor of 10 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -38.17445 - -38.18. What is d rounded to 4 decimal places?\nAnswer: 0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 9) to base 13\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 72.65085 to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of -27*k**4\/4 + k**3\/3 - 6*k**2 + 52. What is the third derivative of h(u) wrt u?\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*g*m + 86058*g - 197*m + 142 wrt g.\nAnswer: -2*m + 86058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-25))\/(9\/20)*(-99)\/11?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2832 a multiple of 177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 61*f - 1908. Calculate q(14).\nAnswer: -1054","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/3897280 and -77\/615360.\nAnswer: 11691840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -155, -164, -89, 70, 313, 640, 1051?\nAnswer: 1546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1102231 + -2?\nAnswer: -1102233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of m**5\/20 + m**4\/2 - 7*m**2\/2 + 2*m. Determine h(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2746202, 5492402, 8238602, 10984802, 13731002, 16477202?\n\"Answer: 2746200*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 22*k**5\/7 + 2858*k**4\/7 + 92668*k**3\/7 - 11308*k**2\/7 - 92690*k\/7 + 8450\/7 = 0. Calculate k.\nAnswer: -65, -1, 1\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -2*x**5\/7 - 854*x**4 - 104876*x**3 - 4912148*x**2\/7 - 7645802*x\/7 - 3461810\/7 = 0?\nAnswer: -2861, -121, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2176*c - 504 = -2162*c for c.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*f**2 + 3*f - f**3 + 2*f**3 - 2 - f**2 - 8*f**2 in the form m + s*f**2 + i*f + g*f**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 11) in base 4?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 2, -3, -1\/12, 3, 0.046?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1656320807 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00008776 to 5 decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 8:58 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 17. Suppose -5*x = -b + 3. Let f(u) = u + 3. Let r(q) = 5*q + 16. Let n(s) = 11*f(s) - 2*r(s). Calculate n(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {k: 1, z: 7, a: 11}?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3473640088?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4837864*d**3 - 1708440?\nAnswer: 14513592*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 2*u = 3*u - 29, 2*q + 3*u = 3. Let f = q - -18. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/6)\/k)**11)**(1\/28)*((k\/k**(-1\/21))\/k**9)**(-2\/11) assuming k is positive.\nAnswer: k**(1825\/1848)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5\/2 (b) 11 (c) -99 (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/3))**(15\/4)*r*(r*r\/r**(7\/5))\/r*r\/(r\/(r*r\/r**(-4\/3))))**(4\/27) assuming r is positive.\nAnswer: r**(161\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 - 2*j + 4. Suppose -a - 4*a = 25. Let h be z(a). Let m(y) = y**3 + 11*y**2 - 2*y - 11. Is m(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -111\/1417?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 4 + 0)*((3*x + 4*x - 6*x)*(-2 - 2 - 1) + x + x - x)*(x + x - 6*x + (-2 + 5 - 2)*(-4*x + 0*x + 6*x) + 5*x - 2*x - 2*x).\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, -2\/13, -0.4, -2.222?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7.4 and -8737?\nAnswer: 64653.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 3)*(-2*h**3 - 4*h**2 + 4*h**2) + h**3 - h**3 - 2*h**3 + (h + h - 4*h)*(-2*h**2 + 0*h**2 - h**2) + (-493 + 2*h**3 + 493)*(-3 + 4 - 2).\nAnswer: 6*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j + 3*j**2 - 3*j**2 - 7*j**2 to the form x*j + f*j**2 + r and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 441756.95051 - 441752. Let q = k + 0.03649. Let z = q - -0.013. What is the third biggest value in z, -1\/3, 1, -4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + m - 4 = 4*c, 0 = 3*c - m - 16. Solve 0*v = -c*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18390299 is divided by 1565?\nAnswer: 1549","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - 9*q**2 - 2*q - 13. Let j be t(-9). Suppose 0 = -j*p - p + 306. List the prime factors of p.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 484317 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 a factor of 252459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.8 to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r + 3*r - 2*r. Let y = 185 - 127. Let m(v) = -47*v - y*v + 73*v. What is q(m(g))?\nAnswer: -64*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = 10*i + 79. Is -17 bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 398178810?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 + 8. Let t(a) = -a**3 - 12*a**2 - 11*a + 3. Let g be t(-11). Let z(f) = -g*f**2 - f**2 + 2*f**2. Determine z(s(j)).\nAnswer: -2*j**4 + 32*j**2 - 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*k + 708 = 452 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 382489.1 days?\nAnswer: 33047058240000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3\/(1 + -4)*-30 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -289.4 rounded to the nearest ten?\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**2 - 3*k**2 + 3*k**2 + 0*k**2 + 0*k**2 + 2*k**2 + (-3 + 3 - 2)*(0*k**2 + 0*k**2 + k**2) - 3*k**2 + 6*k**2 + 0*k**2.\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -10*t - 205. Let w be f(-27). Which is smaller: 54 or w?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13455917 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -11, -33, 58, 3, -6, 29 in decreasing order.\nAnswer: 58, 29, 4, 3, -6, -11, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 2, -13562936 in ascending order.\nAnswer: -13562936, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5d63 (base 14) in base 15?\nAnswer: 4ca5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 3)*(-4*u + 2*u + 3*u) + (2 + 2 - 6)*(-10*u + 3*u - 3*u) + (4 - 1 - 1)*(-3 + 3 - 2*u)*(-10 + 3 + 0).\nAnswer: 46*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 177277 - 177161 = -3*z, -z - 4*j - 28 = 0 for z.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -p - 5*r - 139, -92 = -2*p + 4*r. Suppose 2*h + 5*j - p = 0, 0*h = 2*h - 4*j - 84. What is the smallest common multiple of h and 10?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/10 (b) 31\/4 (c) -0.15 (d) -0.01 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89 = 3*s - 74 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 3*y + 285 = 13, 5*d + 3*y - 343 = 0. Is d a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8409 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/162 and (-2*(-474)\/3312)\/3.\nAnswer: 7452","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 + 49. Let q(x) = 4*x. Give q(m(w)).\nAnswer: -4*w**2 + 196","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 552260.\nAnswer: 2, 5, 53, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + (-8)\/(-2)*385. Let m be (1 - 2) + (-9350)\/(-6). Let x = m - r. Find the common denominator of x and -2\/11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -5*i + 9, -u = 3*i + u - 1. Let f = -3\/2 - 1\/6. Which is the third biggest value? (a) i (b) 0.5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166720740 is divided by 3402464.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/2*(-544)\/102.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of -1\/56*g**7 + 0*g**3 - 13*g - 1\/40*g**6 + 1\/16*g**4 + 0*g**2 + 0 + 3\/80*g**5. Solve q(t) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r + 1. Let j(m) = -m + 5*m + 2*m**2 + 5567 - 5562. Give j(x) - 2*v(x).\nAnswer: 2*x**2 + 2*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -16*a**3 - 19*a**2 + 11*a - 15. Let c(g) = 3*g**3 + 4*g**2 - 2*g + 3. Suppose -29 = -3*k + 4. Let z(s) = k*c(s) + 2*d(s). Calculate z(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-5\/6)*p)**(-50))**(-2\/5) assuming p is positive.\nAnswer: p**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -2*r - 10, -28 = d + 30*r - 25*r for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -62*m - 61*m + 1 + 45*m**3 + 7*m**2 + 189*m - 66*m to the form c*m + t*m**2 + a + f*m**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 4*r**2 - 2. Let m(c) = -9*c**2 + 5. Let g(w) = 5*h(w) + 2*m(w). Let o(s) = 5*s. Determine g(o(x)).\nAnswer: 50*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 3*f + 7720 - 254, 5*y + 4*f = 7463. What are the prime factors of y?\nAnswer: 5, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000001465 to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -265562 - -3?\nAnswer: -265559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 4*d = -145, 775*r + 3*d + 76 + 29 = 777*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 - 4*u - 4. Suppose i = -4*i + 20. Suppose 22 = i*r + 6. Suppose 18 = r*m - m. What is g(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -135 and -0.081?\nAnswer: 10.935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1038143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -h + 1002, 0*s - 192 = -s + 4*h. Suppose s = -n + 6*n. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 151163.6 millimeters?\nAnswer: 0.1511636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -139123 (base 12) to base 2.\nAnswer: -1001111110001101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -4. Suppose 3*n + b + d*b = -6, -n = -2*b - 10. List the prime factors of (0 - n\/(-2)) + 6.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 19*j**2 - 18*j + 15. What is the tens digit of x(18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, b: 1, p: 6, j: 7}. Give prob of picking 2 p, 1 b, and 1 j.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*j + j - 5*j - 1 + 1 + 3*j + (-2 + 2 + 1)*(5*j + 0*j - 3*j))*(-3*j + 0*j + 0*j)*(18*j - 13*j - 25*j) in the form c + x*j + u*j**2 + v*j**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that u**2\/2 - 3692*u + 6650694 = 0.\nAnswer: 3118, 4266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/3*(-57)\/(-38)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 i when two letters picked without replacement from ididididddiididddiii?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(2430))\/(sqrt(10) + -4*sqrt(60)\/sqrt(6))*5)**2.\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11351276 (base 9) in base 7?\nAnswer: -64651545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2649639?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -n + 14, n - 63 + 87 = w. Calculate the remainder when 92 is divided by w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 14\/123437?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1522506 to the power of 1\/2, to the nearest integer?\nAnswer: 1234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4411 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -192 + 192.1. Which is the closest to 1? (a) m (b) 0.12 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/7, -2\/11, -3\/4, 2\/19?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 7) in base 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29 + 33. Suppose -o*u + 9 = -u. Let f(p) = 3*p**3 - 44*p**2 - 14*p - 15. Let k be f(15). Sort 2, u, -7, k.\nAnswer: -7, k, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1155\/(-330) - 249\/(-70)) + -2*(-5)\/(-28).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {h: 1, e: 6, n: 3, t: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -804, -2054, -3740, -5862, -8420?\n\"Answer: -218*r**2 - 596*r + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -273 (base 11) to base 13.\nAnswer: -1ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -335 in -9\/2, -6.4, -0.4, 5?\nAnswer: -6.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 30 + (-6 - -44) + -44\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 664.633ml?\nAnswer: 0.664633","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/2*(-7 - 16)\/(-46)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 1 + 10\/14*-1.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 + -0.3. Let q = 1 + 6. Let i = q - 8. Which is the nearest to i? (a) v (b) -4 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(78)\/sqrt(2))\/sqrt(3) - sqrt(13)) + (-1 + 0 + sqrt(13))**2 + 4 + 5*sqrt(13)*1 + 5*sqrt(117).\nAnswer: 15 + 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 318\/7*u - 72 - 2\/7*u**3 - 44\/7*u**2 = 0. What is u?\nAnswer: -28, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-31)\/(-4))\/((-10)\/(-80)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 + 3 = 3*j. Suppose 0*a - j = -2*a. Suppose 0 = a*y - 0 - 10. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 6*w**3 + 6*w**2 - 14*w - 12. Let y(d) = -5*d**3 - 6*d**2 + 13*d + 12. Let u(i) = 4*p(i) + 5*y(i). Let c be u(-7). Does -2 = c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 131556164 - 14?\nAnswer: 131556150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, v: 3}. What is prob of picking 2 e?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s + 6*s - 20 = 0. Let q be (31\/124)\/((-1)\/4). Let i be (s - 5\/5)*q. Let t(c) = c**3 - 6*c**2 + 2*c + 7. Determine t(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7770, -7706, -7642, -7578, -7514?\nAnswer: -7450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6688 and 8569.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gswsssgcsgpg. What is prob of sequence wc?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5687 is divided by 271.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -115 divided by -23?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1.5 - 3676158\nAnswer: -3676156.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -99, -37, 123, 429, 929, 1671, 2703, 4073?\n\"Answer: 8*z**3 + z**2 + 3*z - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of -27*a**3 + 0 + 1\/20*a**6 + 27\/4*a**4 - 9\/10*a**5 + 243\/4*a**2 - 5*a. Factor f(v).\nAnswer: 3*(v - 3)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(-1)\/4*12\/(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**4 - 3*r**2 + 3*r**2)*(4 - 2 - 3) + (1 - r - 1)*(-424*r**2 - 5*r**3 - 435*r**2 + 854*r**2).\nAnswer: 6*r**4 + 5*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 3*i**3 - 3*i**3 - 2*i**3 + 3*i**3 + 4 - 4*i**2 + 4*i. Let n be k(4). Suppose n = 3*a + 2*a. What is the greatest common divisor of a and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 475037?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-196*t + 1 - 648*t - 882*t)*(-2*t + 3*t - 2*t) to u*t + a*t**2 + w and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3*m**2 - 13*m - 49. Let t be z(7). Solve -5 - 9 = -t*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 4*n + 342 = 3*d, 0 = d + n - 68. Does 14 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2221*f. Is p(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -564, -970, -1648, -2598?\n\"Answer: -136*p**2 + 2*p - 430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8.18 - -8. Let v = i - -0.159. What is v rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.1, -5, 0.13, 542, 5?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/14)\/(9*(-16)\/(-84))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of -2*v**2 + 0*v**3 - 2 + 0*v + 5\/2*v**4. Find the second derivative of r(c) wrt c.\nAnswer: 60*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*n**2)*(0 - 2 - n - n + 2*n - 3 + 3 + (-2*n - 3*n + 2*n)*(3 - 4 + 2)).\nAnswer: 6*n**3 + 4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 6*b**3 - 11*b**2 - 6*b + 11. Let l(a) = 2*a**3 - 4*a**2 - 2*a + 4. Let h be ((-1)\/(-2))\/(3\/24). Calculate h*j(c) - 11*l(c).\nAnswer: 2*c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1327630680 rounded to the nearest 100000?\nAnswer: 1327600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.9 + -3.90178. Round l to 4 decimal places.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -0.4, -3, 40.8, 8\/21, 0.2?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 23*j**2 - 4*j - 72. Determine o(-23).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w**4 - w**4 + w**4 + (w**3 + 3*w - 3*w)*(-3*w + 2*w - w) + w**4 + 4*w**4 - 3*w**4 to the form y + d*w**3 + b*w + j*w**2 + x*w**4 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -16*r - 17. List the prime factors of q(-4).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41 + 41 - 198653*o + 1403970*o.\nAnswer: 1205317*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -49 (base 15) to base 6.\nAnswer: -153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32 - 29. Let d(b) = -2*b - 5. Let y(i) = -i - 4. Determine r*d(p) - 4*y(p).\nAnswer: -2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/155 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 35753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -32*i**2 + 9*i + 9. Let c(r) = -16*r**2 + 4*r + 4. What is -9*c(l) + 4*o(l)?\nAnswer: 16*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44704144 and 658.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3647*b = -3648*b + 68. Calculate the greatest common factor of b and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2501116 is divided by 15158.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**2 + 62 + 2207*y - 2205*y - 346.\nAnswer: -y**2 + 2*y - 284","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 292936?\nAnswer: 2, 7, 5231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of k**4\/8 + 87*k**2. Let x(g) be the second derivative of -3*g**3 - 3*g**3 - 2*g + 7*g**3. What is x(h(p))?\nAnswer: 18*p","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10139?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 5*h + 14 + 19, -4*s = h + 13. Let f be 28\/10 + (-1)\/(-5). Sort f, 4, s in descending order.\nAnswer: 4, f, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1699848 a multiple of 660?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1915296 divided by -26976.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -20268512*-0.44\nAnswer: 8918145.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -472?\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1047 is divided by 160.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -66 smaller than 113445\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1032 (base 12) in base 6?\nAnswer: -12102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -132100000 to the nearest one million.\nAnswer: -132000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -3*o - 23. What are the prime factors of o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 168 = 3*z, 3*r + 2*r = 4*z + 179. Calculate the remainder when r is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 6}. What is prob of sequence ffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/48)\/(0 + 2\/(-12))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4222 greater than or equal to -4216?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of 1\/60*j**4 + 0*j + 5*j**2 + 0 - 2\/15*j**3 + 1\/150*j**5. Suppose a(f) = 0. What is f?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11020122221220 (base 3) to base 12\nAnswer: -90a136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*i + 11. Let h(r) = -r**2 + 9*r + 5. Calculate the remainder when h(i) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 18, 1, -32, -87?\nAnswer: -170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 382 and 16401934.\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 340648?\nAnswer: 2, 7, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -77*y**2 + 2*y - 7. Let r(p) = -38*p**2 + p - 3. Determine 7*r(h) - 3*t(h).\nAnswer: -35*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(2\/5))**(-36)*q**(-2)*q**(1\/5))\/(q*(q*q**(1\/12))\/q*q*q\/(q\/q**(3\/7)*q))**(3\/20) assuming q is positive.\nAnswer: q**(-29359\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -996641, -1993280, -2989919, -3986558, -4983197, -5979836?\n\"Answer: -996639*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 1 + 9 = 0. Suppose 5*k = 2*v + p*v - 16, 3*v - 12 = 4*k. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24543\/4 - 6138. Which is the closest to i? (a) 0 (b) 16 (c) -0.3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*q = p, p - 5*q = -12. Let h(v) = -v**3 + 8*v**2 - 2*v - 3. Let k be h(p). What is the greatest common factor of k and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rroy when four letters picked without replacement from rrooooyyo.\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 4*k + 542 = 0, -3*k = 7*r - 8*k - 1802. What is the remainder when r is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 1.5. Let u = -5 + 6. Let j = d - u. What is the nearest to -1 in j, 5, 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 5*d**3 + 547*d**2 - 495*d - 77717. Determine p(-109).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 0.2 (c) 3\/2 (d) 6207 (e) 1\/3 (f) -0.4 (g) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*u - 3*j, -2*u + 0*u + j - 5 = 0. Let n be 3*7\/14*18\/9. Let v be 4\/110*(1\/n + u). Is 0 >= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19715 - -201. List the prime factors of b.\nAnswer: 2, 13, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 5 = -a, -12*s + 3*a - 5626 + 5635 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32*i**4 + 9*i**2 + 292*i wrt i?\nAnswer: -384*i**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*(-5)\/20*4\/(-6). What is the nearest to -23 in 0.3, -4, p?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29223?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.047 + 29.047. Let a = 29.1 - m. Let l = 0.1001 - a. What is l rounded to five dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**3 - o**4 + o**3)*(-2 + 3 - 2 + (-5 + 5 + 2)*(-8 + 0 - 5))*(4*o + o - 2*o).\nAnswer: 81*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((45\/(-75))\/((-1)\/10))\/(-8).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19831342*c**3*t - 871*c*t + 7644*t wrt c?\nAnswer: 118988052*c*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41603*v**2 + 11*v - 5*v - 6*v - 41608*v**2.\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 7, n: 1, b: 1, u: 4}. What is prob of picking 2 u?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -551*a**5 - 6*a**3 - 7494*a**2?\nAnswer: -33060*a**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24012 by -2.\nAnswer: 12006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 250 + -245. Solve 7*w - 2*w + l = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 1, -1, -5, 5721, 4 in ascending order.\nAnswer: -5, -4, -3, -1, 1, 4, 5721","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ts when two letters picked without replacement from {s: 2, y: 2, t: 5}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 5*g**2 - 3 + 11*g + 4 - 10*g. Let y be j(-1). Suppose 0*s - 30 = -y*s. What is the smallest common multiple of 3 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -344 - -11313254?\nAnswer: 11312510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5974?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 - 15*a - 8*a - 64*a - 124*a + a to g + r*a and give g.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.11 + 0.09. Let k = t + -1. Let l be (-9)\/6*(-36)\/81. Which is the second smallest value? (a) l (b) k (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2\/7 - 12437658*w\/7 - 12891278043747\/7.\nAnswer: -3*(w + 2072943)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2338 and 53984?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -16 (b) 2\/9 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bjbx when four letters picked without replacement from tjblbjtllxbttjjtxjb?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 408\/2176*(-4)\/(-3)*20.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/3*s**2 - 152\/3*s - 96.\nAnswer: -4*(s + 2)*(s + 36)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 2:31 AM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82885623?\nAnswer: 3, 3529, 7829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*i + 140*i - 21*i - 48*i - 25*i - 19*i.\nAnswer: 9*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhehkvhhhhhhkhe. Give prob of sequence kke.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of f**2*j**2 + 2960*f**2*j - f*j**3 - 10*j**3 - 2*j**2 - 52*j wrt f?\nAnswer: 2*f*j**2 + 5920*f*j - j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/7 (b) -3\/5 (c) 2 (d) 3\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(112) + (sqrt(567)\/sqrt(9) - sqrt(7) - sqrt(7)))*-3)**2*-1.\nAnswer: -1611 - 180*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 26 - 3 + 93 - q**2 + 29.\nAnswer: -q**2 + 100","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0761770682 rounded to five decimal places?\nAnswer: 0.07618","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 254, 741, 1226, 1709, 2190, 2669, 3146?\n\"Answer: -q**2 + 490*q - 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 1, -20 in decreasing order.\nAnswer: 5, 4, 1, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w + 6*w**3 - 5*w + w**3 + (-1 - 2*w + 1)*(0*w - 2*w**2 + 0*w) + 3 - 3 + 2*w**3 + 2*w**2 - 4*w**3 - 2*w**2.\nAnswer: 9*w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -9*y**2 - 1. Let z be t(1). Let s(k) = -k + 7. Let h be s(-5). Let o = h + z. Which is smaller: o or 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 4 = -0*q. Let t be -2*-2*q\/4. List the prime factors of 1\/((-10)\/12 + t).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(120)\/sqrt(4))\/sqrt(10) + (1 + sqrt(3) + 1 - sqrt(3) - (-1 + sqrt(12))))**2 - ((-2*sqrt(27)*2)\/(sqrt(36)\/sqrt(4)*-2) + -4).\nAnswer: 4*sqrt(3) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/2 (b) -11 (c) -3\/4 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/10)\/k)\/(k**29*k)*(k**(3\/20))**(2\/11) assuming k is positive.\nAnswer: k**(-1709\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*j - 583 + 599 = 3554 for j.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 10334*r**2 + 0*r - 5*r + 0*r + r. Let c be w(6). Suppose p - 5*p = -c. Round p to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w**3 + 6*w**2 - 24*w + 3. Is u(11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -14 - 6131*n**2 + 16*n - n**3 - 59*n + 3052*n**2 + 3062*n**2. Determine p(-14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 5*a = 7*a, -4*a = -2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 45 = -h, -h = -44*p + 56*p + 74. Solve -10 = h*t - 15*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 184 + 199, -4*o + 4*l + 520 = 0. Suppose -5*s = -32 - 103. Calculate the remainder when o is divided by s.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 66 = -6*w, -c - 6483*w + 6485*w + 22 = 2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 - -32. Solve -12*q = -19 + r for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*d - 13 - 15 + 28.\nAnswer: 30*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 52*n**2*z - 317*z wrt n?\nAnswer: 104*n*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26 - -31. Suppose -o = -r*o + 8. Solve -t + o - 5 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 467050752 and 2364.\nAnswer: 2364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3\/541 - 211\/59510. Let x = -550940 + 550941. Which is bigger: x or a?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105579970 a multiple of 2270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 408964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 + 0. Let n = -11446\/35 + 327. Let a = n - 31\/140. Put a, 4, i in descending order.\nAnswer: 4, i, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - 23984.83165\nAnswer: -23990.83165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/23, 2, -0.2, 5?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1023, 4109, 9259, 16479, 25775, 37153, 50619, 66179?\nAnswer: 83839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 11*g - 11. Is y(18) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13186 - -91902\/7. Let k = -57 - x. Which is the nearest to 0.1? (a) k (b) -0.1 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74279.9133 rounded to zero dps?\nAnswer: 74280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11902.\nAnswer: 2, 11, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -2\/15, -3, -1 in ascending order.\nAnswer: -3, -1, -2\/15, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/(6\/(-2)) - 1. Suppose 3*k = z + 3 - 48, -4*z + n*k + 190 = 0. What is the units digit of ((-6)\/(-4))\/(9\/z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 8 + 7 - 16?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 4*u - 3*u, -3*u + 8 = 5*z. Let f = 158 + -1104\/7. Which is the nearest to u? (a) 2\/13 (b) f (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1486920?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 118 + -100 + (-22 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1524047194?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65, 93, 121, 149?\nAnswer: 177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 4*t = 655 - 704, 0 = 81*k + 2*t + 1217 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -e (base 16) to base 9\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(18) + sqrt(18) + sqrt(90)\/sqrt(5))*-6)\/((sqrt(168)\/sqrt(4))\/sqrt(7)).\nAnswer: 72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -4*j + 24, -2*t - j = -3*t. Let r(s) = 3*s - 6. Let k be r(t). Solve 2*d = -k*d - 5, d + 17 = 4*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 950*b**2 + 3*b - 5011*b**2 - 3*b - 2 - 10024*b**2 as m + t*b + r*b**2 and give r.\nAnswer: -14085","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**4*d)\/d*d**(1\/5)*(d**0)**(17\/5) assuming d is positive.\nAnswer: d**(-14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 57287173.7375 plus 5.6?\nAnswer: 57287179.3375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(-9)\/21*28\/16?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2 - 212 - 191 + 613 + (0 - 1 - 1)*(0 - 3 + 4))*((-4 + 4 + 2*a**3)*(-2 + 4 - 3) + 0*a**3 - 2*a**3 + 0*a**3).\nAnswer: -824*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-2)*4\/6. Suppose 2*k = -3*k + 10. Suppose 2*b - i - 2 = k, 2*i - 13 = -3*b. Solve -b*w - g = -4*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*c + 132 = -374. Solve -d - 2*p = c, 2*d - 5 = 14*p - 9*p for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 9 - -7 - 35.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 89626 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -62*f**3 + 31*f**3 + 16*f**3 + 38*f**3 + 39*f**3 - 147*f - 4*f**5 wrt f?\nAnswer: -80*f**3 + 372*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2 - 23022*m - 230520.\nAnswer: 3*(m - 7684)*(m + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 64 = -4*f, 17 - 7 = 2*f. Solve 3*k + 6*s - t = s, -12 = -4*s for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of x**4\/12 + x**3\/3 - 7*x**2\/2 + 95*x. Let s = 22 + -16. What are the prime factors of d(s)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a4533 + 617?\nAnswer: a4b4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 5?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -155.8 + 155.77994. What is o rounded to three decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48011557 a multiple of 109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57375616?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 276 - 288. Which is the biggest value? (a) v (b) -2\/5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*l - 3 = 95*l. What is the lowest common multiple of 18 and (-3 + (-6)\/(-24))\/(l\/(-8))?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1459438506?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**3 - 8*b**2 - 37*b + 158. What is v(5)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 548533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 196\/24 + -3 + (-2)\/12. Suppose -2*g + g = -3. Solve 5*q + 21 = -y, 0*q + g*y = -x*q - 13 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 159 + -66. Calculate the remainder when g is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c - 1. Let n(j) = 34*j - 2. Give n(o) - 3*u(o).\nAnswer: 37*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (144\/105)\/(-4)*(-47 + (27 - -27)).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-8)\/(-10))\/((-2)\/(-15)). Let u = 8 + t. Calculate the remainder when 37 is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 + 19 + -3 + -8 - 3) + 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (262\/(-4))\/((-12)\/24) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4333203 (base 5) in base 4?\nAnswer: -102013002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -213b - -7069?\nAnswer: 4e2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -206, -195, -184, -173, -162?\n\"Answer: 11*i - 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*j + 58 = 4*t, 4*t = -j + 23. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1303 divided by -5\nAnswer: -1303\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of -d**7\/840 + d**6\/96 - d**5\/60 - d**2 + 15*d - 81. Let z(k) be the second derivative of f(k). Factor z(j).\nAnswer: -j**2*(j - 4)*(j - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2687 + 40288\/15. Let j = 431\/30 - s. Let d = 8038 + -16099\/2. Find the common denominator of d and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/34)\/((-1482)\/705432).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 68\/32 - (150\/48 + -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**4\/(t\/t**(-7)))**19 assuming t is positive.\nAnswer: t**(-76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4942231 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 54 - 54. Suppose -2*s = -2*x, -2*s + b*s = -3*x. Let m(o) = -o + 3. Let f be m(s). Solve 4*w = 3*w + f for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43.29424 centimeters to micrometers.\nAnswer: 432942.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 137 and -94390031.\nAnswer: -94389894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.01*2632\nAnswer: 26.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = 3*p - 3. Let o be (5\/(-56) + 2\/(-7))*4. Is o at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 4*p + 1. Let t be y(-4). Let d = -11 - t. Suppose -d = -o - o. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2058415784*a. Let d(s) = s**2. Give d(g(w)).\nAnswer: 4237075539820334656*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.141562003 + -0.9?\nAnswer: -0.758437997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -183*a - 38*a + 23 - 52 + 14 + 14.\nAnswer: -221*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 87*q**3 + 3*q**2 + 5*q - 18. Does 100 divide w(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**(-1)\/f*f\/(f**11*f)*f*f\/(f\/f**(-1\/5))*f**7*f)**(2\/33) assuming f is positive.\nAnswer: f**(-2\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 0.0225?\nAnswer: 0.0675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -485, -415, 17, 991, 2687, 5285, 8965, 13907?\n\"Answer: 30*s**3 + s**2 - 143*s - 373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -157336 * -17.\nAnswer: 2674712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -6 - (-1 + 7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4509.221 years in decades?\nAnswer: 450.9221","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 133391 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -4*d**2. Let s be (-2)\/(-8)*0 - 5. Let o(m) = 143*m - 39. Let b(w) = -18*w + 5. Let q(c) = s*o(c) - 39*b(c). Give q(h(r)).\nAnswer: 52*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2112.763 millennia in decades?\nAnswer: 211276.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z + 4*z + 16*z.\nAnswer: 17*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from btntktntshsstth. What is prob of picking 1 s, 1 h, and 1 t?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 30599, 122372, 275321, 489440, 764723, 1101164, 1498757, 1957496?\n\"Answer: -y**3 + 30594*y**2 - 2*y + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 45963114245 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 36654757 and -0.2.\nAnswer: -7330951.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 21271*l + 1. Let t be m(5). Suppose -a + 1616356 = t. What is a rounded to the nearest one hundred thousand?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20613126?\nAnswer: 2, 3, 3435521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -294*a + 12*a**2 - a**2 - 7*a**2 + 294*a.\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -6 (c) 2\/21 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 82569 and -48.\nAnswer: 82521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 1 - (25 - 25)) + -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 4*t**2 + 30*t + 16 + 50*t**2 + 10*t**3 + 30*t = 0.\nAnswer: -4, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or -550?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*a + 129*a - 2*s + 6*s = 0, -2*s = -0*s + 2*s + s for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34 - -36. Suppose -l + k - 3 + 4 = 0, 4*l = 5*k + z. Solve -f + 0*f**2 + f**3 - 4*f**4 + 3*f + 4*f**2 - l*f**3 = 0 for f.\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-28))\/((-2)\/(-6)) - -19*(-988)\/266\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 283*z - 410*z - 917*z.\nAnswer: -1044*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*z**3 + 25*z**3 - 67*z**3.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 690 and 86688?\nAnswer: 9969120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cd when two letters picked without replacement from {d: 2, c: 5, z: 2, b: 2, f: 2}.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -2, 64*a - 68*a + 3*c + 17 = 0. Let x(g) be the third derivative of -g**2 - 1\/360*g**6 + 0*g + 0*g**3 + 1\/72*g**4 + 0 + 0*g**a. Factor x(i).\nAnswer: -i*(i - 1)*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (25 + -7)\/(2\/2) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 12*p**2 + 241*p + 260. What is f(-19)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z - 10. Let g be u(-5). Let m = -7 - g. Let c = m - -10. Is c a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven eighths of a centimeter?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 2*x - 775, 3*c + 4*x - 3104 = -c. Suppose 2*w + 6*j - c = 9*j, 0 = -4*w + 4*j + 1564. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6536 - -26143\/4. What is the biggest value in n, -5, 0, 1083, -2?\nAnswer: 1083","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -181202920 by 4530073.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + w - 19. Let b be d(6). Let j be -3*4*(b\/6 + -4). Suppose -5*k + 594 = j*v + 103, 3*v + 6 = 0. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -279*w + 15 - 15 - 70*w**2 + 286*w.\nAnswer: -70*w**2 + 7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 441 + 1261. What are the prime factors of w?\nAnswer: 2, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 401386147.\nAnswer: 401386147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + 6*a**2 - 7*a + 5. Let u be o(-7). Suppose -y - y = -3*q - u, -2*q - 5 = -3*y. Solve y + 9 = -5*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 119977 and 182823134.\nAnswer: 2011054474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10465?\nAnswer: 5, 7, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -12*c + 5. Let m be -1 + -1 + 3 - 4. What is the remainder when q(m) is divided by 1\/3 + 82\/6?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l + 9. Let a be r(3). Suppose -4*p + 9*p - 365 = 5*n, -a*p = -5*n - 227. What are the prime factors of p?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9594 and 1608102?\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 0 - (0 - 6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -114 (base 10) to base 4\nAnswer: -1302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -14, -0.5, -5?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of -4\/5*i**5 + 2\/3*i**6 - i**4 + 4\/3*i**3 + 5 + 0*i + 0*i**2. Factor k(q).\nAnswer: 4*q**2*(q - 1)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 85966 + -57255. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - 11432232121?\nAnswer: -11432232123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-21 - -73) + -77 + (0 - 10)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of 3\/70*t**7 + 0*t**3 + 1\/12*t**4 + 0*t**5 + 0*t**6 + 0*t + 0 + 11*t**2. Find the second derivative of i(g) wrt g.\nAnswer: 108*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of c**2\/2 + 2*c - 55. What is u(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 7*b**4 - 2*b**2 + 6. Let n(d) = -56*d**4 + 17*d**2 - 47. Let u(r) = 6*n(r) + 51*t(r). Differentiate u(f) wrt f.\nAnswer: 84*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 11*i**2 - 88*i + 14. Let p be k(8). Solve -3*w = b + 15, 3*w = 4*b - p - 1 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4887*q**3 - 75*q + 10 wrt q?\nAnswer: -29322*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 16*q**2 + 24*q + 18. Let z be s(-18). Suppose 3*y = 2*m + 2*y + 243, -4*y + z = -2*m. Round m to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 76*k**2 + 372*k - 435. Give y(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -4*t + 73. Suppose 2*y + 3*q = 19, t = 5*y + 4*q - 5*q. What is the remainder when 53 is divided by y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 172.3 - 174.3. What is the closest to r in 0.09, 2\/7, -1.3?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 4*j + 3, 1 = l + 4*j - 0*j. Let o be (-7)\/(l + (-2 - 0 - 0)). Let k(t) = -t**2 + 6*t - 3. Determine k(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*d**3 + 170*d**2 - 62*d**2 - 63*d - 50*d**2 - 1 - 59*d**2 in the form z + s*d**3 + i*d**2 + j*d and give j.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -2915?\nAnswer: 4\/2915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -7. Suppose -5*l - 3*d = -25, -2*d + 28 + s = 5*l. Is -34*((-4)\/l + -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9\/3 - 3)\/(-1). Suppose n = -0*g + 5*g. Find i, given that i**4 + 0*i**2 - 1\/2*i**5 + 0*i - 1\/2*i**3 + g = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l**2 - 4*l. Let g(q) = -5*q**2. Calculate s(g(n)).\nAnswer: -75*n**4 + 20*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 262976 and -0.1795.\nAnswer: -47204.192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a**3 - 2*a**3 + 0*a**3 + (1 - 2 + 2)*(3*a**2 - 3*a**2 - 2*a**3) + 0*a**3 + 0*a**3 + a**3 - 8 + 8 - 7*a**3 - 2 - 2*a**3 + 2)*(-1 - 1 + 1).\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.5 + 2.5. Let g(d) = 6*d**2 + 17*d + 9. Let z be g(-2). Let x = 4 + -3.6. Which is the closest to z? (a) x (b) l (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10488 or 10489?\nAnswer: 10488","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39973 by -3.\nAnswer: 39973\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -237*p + 2897 = -421 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 167\/3? (a) -8 (b) -2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3574.677 grams?\nAnswer: 3574677000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.07 - 0.07. Let z = -2\/1815 + 1819\/3630. Which is the nearest to z? (a) 3\/5 (b) 0 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 46, 34, -4, -80, -206, -394, -656?\n\"Answer: -2*f**3 - f**2 + 5*f + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7626*k + 1258*k - 3831*k.\nAnswer: -10199*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 4*v + 225, 9*w - 59 = 8*w + 2*v. Let u = 129 - 82. Which is bigger: u or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -17, -25, -33?\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1700*r**3 - 847*r**2 wrt r?\nAnswer: -10200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 61 - 26. Let u = b + -31. Let a = 6 - u. Which is greater: a or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 737 and 1881?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -77 in descending order.\nAnswer: 5, -5, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -467\/3 - -152. Let v = -37\/6 - b. What is the second smallest value in -0.4, 2\/19, v?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 2*j)*(0*j**2 - j**2 - j**2) + j**3 + 0*j**3 - 3*j**3 - j + j + j**3 - j + j - 2*j**3.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4416 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**5 - 2*q**5 - 3*q**5 + (-2*q + 2*q - 2*q)*(-4*q**4 + 6*q**4 - q**4) + q**3 - q**3 - q**5 - q**2 + q**2 - q**5 - q**5 + q**5 + q**5.\nAnswer: -8*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 9:22 PM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37632 is divided by 1076?\nAnswer: 1048","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-296 + 4*m + 117 + 149)*(3 - 3 + 1)*(-2*m - 3*m + 3*m).\nAnswer: -8*m**2 + 60*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 9 + -41 + -90 + 81.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 1 = p, 4*j = -p - 0 + 1. Let z(t) = 2*t + 6. Let a be z(-6). Let s = 13 + a. What is the highest common factor of s and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of b**7\/1050 + b**6\/300 - b**5\/300 - b**4\/60 + 4*b**2 - 4*b. Factor u(n).\nAnswer: n*(n - 1)*(n + 1)*(n + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g**2*u**3 + 166*g**2*u**2 + 2*g**2 + 2*g*u**2 + u**3 - 24*u**2 + u wrt g?\nAnswer: 4*u**3 + 332*u**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 9*r**2 - 5. Let m(z) = -2 + 3 + 0. Let q(h) = a(h) + 5*m(h). Let g(b) = 4*b**2. Let d(u) = 3*u**2. Let v(c) = 9*d(c) - 7*g(c). Give v(q(j)).\nAnswer: -81*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -107 smaller than -109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.02, -0.3, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1340*d**3 + 1344*d**3 - 2679*d**3.\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 370, 791, 1178, 1513, 1778, 1955, 2026?\n\"Answer: -3*f**3 + f**2 + 439*f - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -137981\/21 - -6569. Calculate the common denominator of -3 - (-159)\/45 - 2 and k.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6569 - 6553. Calculate the greatest common factor of d and 8984.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/10)\/((-152)\/(-95))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 2*c + 875. Let f(x) = -x. Let h be f(2). What is the smallest common multiple of 1\/h - c\/14 and 14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -10*d**2 - 2849*d + 48415. Calculate u(17).\nAnswer: -2908","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1542.6 - 1563. What is the second smallest value in -0.04, k, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (42\/27)\/7 + (-43)\/(-9). Solve -5*b + z = 23, -4*b + 4 - 35 = -v*z for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6 - 4 - 1)*(0 + 4 - 6) + 4 - 4 + 5)*(-3*f**2 + 0*f**2 + f**2 + f**2 + f**2 - 3*f**2 + (4*f - 4*f + 2*f)*(f + 0*f + f) - f**2 - 2*f**2 + 4*f**2).\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 227208 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/2 - (-13)\/(-2). Let i = -8 + 11. What is the remainder when (-2)\/6 - 50\/z is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1210102101120 (base 3) in base 11?\nAnswer: -5a1084","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2189706.\nAnswer: 2, 3, 83, 4397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 293 = 5*c - 4*r, 5*c - 291 = 4*r. Is c a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 8*k**2 - k + 8. Let m be f(8). Suppose -h - 2*h + 159 = m. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, i: 3, n: 5}. Give prob of picking 3 z.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5749 is divided by 1001110\/(-836)*(2\/20)\/((-8)\/96)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/3 + 1\/6. Suppose 4 + 1 = -t. Let n be -2 + -3*12\/(-9). Which is the closest to n? (a) -4 (b) t (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11\/4, 260, 2 in increasing order.\nAnswer: 2, 11\/4, 260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 396 = 6*x - 330. Let a be x\/44 - 3\/4. Solve 2*o + 3*o - 4*f = 24, a*f = o - 6 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 290 + 228?\nAnswer: 4b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*n**2 - 18*n**3 + n**3 + 17*n**2 to f*n + c + k*n**2 + j*n**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1ba4 (base 14) to base 4.\nAnswer: -1032310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.1, -0.06, 2, -1\/2, -0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4013078 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6700, -4979, -3246, -1495, 280, 2085?\nAnswer: 3926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32716 - 22501. What is the highest common factor of 45 and k?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a - 102 = 17*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3229, -7839, -15547, -26359, -40281?\nAnswer: -57319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -56*t + 206. Put t, -1, 43 in descending order.\nAnswer: 43, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 903 = 10*z - 337. What is the third derivative of -60*i**6 + 62*i**6 + z*i**2 + 25*i**3 - 29*i**2 wrt i?\nAnswer: 240*i**3 + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 423896?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-1 + 1) - (101 + -102).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c - 9. Let j = 9 + 0. Let x be t(j). Suppose -2*o - 8 + x = 0. Which is smaller: -3 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -70417*-22\nAnswer: 1549174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 - -0.6. Let a = 5.7 - v. Let z = a + -1.2. Sort 0.4, -0.2, z.\nAnswer: -0.2, 0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 105 + -105.1. Put g, 0.025, -0.4 in ascending order.\nAnswer: -0.4, g, 0.025","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5720, -5708, -5696, -5684, -5672, -5660?\n\"Answer: 12*i - 5732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d**2 + d - 5. Calculate z(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -1268999*b**3 + b**2 - 3*b - 3. Let p be c(-1). What is p rounded to the nearest one hundred thousand?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (20\/(-6))\/((-8)\/12). Let x(k) = -2*k**3 + j*k**2 + 0*k**3 + 0*k**3 - 2*k**3. Let o(p) = -6*p**3 + 8*p**2. What is -5*o(s) + 8*x(s)?\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2029075.7999991 + 2029076. Let p = 0.2 + 0. Let s = p - z. Round s to 7 dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -2*d + 5*d + x, -d + 2*x - 30 = 0. Let k = d - -21. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 386 - 51 = -5*l, -5*h + 15 = 0. Let c = -50 - l. Solve 6*o - c = 2*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 - 2*u + 880. Let h be p(-29). Solve -9*t - h = -52 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000185239 rounded to six decimal places?\nAnswer: -0.000185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2a2258c + -2?\nAnswer: 2a2258a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/5 (b) -96 (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -100000 (base 2) to base 10\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + -17. Let n be (2 - -1) + (-10 - k). Suppose 0 = -u + n + 10. What are the prime factors of u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -51*l + 529. Let v be j(10). Solve 79*n + 60 = v*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -131212023 + -330?\nAnswer: -131213013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-8)*(-176)\/858.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69902894.\nAnswer: 2, 757, 46171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1296) + sqrt(1296) + sqrt(1296) + sqrt(1296)*1)\/((sqrt(12) - (sqrt(12) + sqrt(108)))*-5) + -3)**2.\nAnswer: -48*sqrt(3)\/5 + 417\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*6\/(-4)*6. Let o(p) = -p**2 + 10*p - 7. Let k be o(h). Suppose -3 = -k*c + c. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/15)\/((-1)\/5). Suppose -5*t + y + 35 = 0, t + 4*t - 40 = c*y. Suppose -3*g = 2*g - 40. Calculate the smallest common multiple of t and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -39*o*x**3 + 642*o*x - 1193*o + 106800*x**4 + x**3 - x + 3 wrt x?\nAnswer: -234*o*x + 1281600*x**2 + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/14)\/((-23694)\/193501).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 191507818 to the power of 1\/2, to the nearest integer?\nAnswer: 13839","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 38001484 to the power of 1\/4, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 4*y - 7 = -q, 6*q = -5*y + 23. Solve -5*j + 10 = -5*a, -q*a - 3*j = -2*a - 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.8141 rounded to one dp?\nAnswer: -7.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-2\/9)\/(i*i\/i**(2\/9)))**40)**(-14\/5))**(2\/47) assuming i is positive.\nAnswer: i**(448\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/5100 and 157\/20490.\nAnswer: 3483300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3230 and 1903382?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/((-140)\/65 + 2). Suppose -2*k - 2*b - z = 2*b, -2*b = 3*k + 19. Let v be (-2)\/(-10)*(k - 0). What is the third smallest value in -0.4, v, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b\/b**(-16))\/(b\/((((b*b**(-12)\/b*b)\/b)\/b)\/b)))\/(b**2*b\/b**(-2)))**11 assuming b is positive.\nAnswer: b**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (16\/(-88) - 2174\/(-704))*34\/(-306) and -26\/309.\nAnswer: 9888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13932 (base 13) in base 16?\nAnswer: -8f6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -18, 17 in decreasing order.\nAnswer: 17, 0, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 + 41*i + 356. Calculate s(-26).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-122)\/(-2684))\/((-1)\/2).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 AM and 5:30 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12040*w - 3359*w + 755021 = 15248 - 24155 for w.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 659722 and 2?\nAnswer: 659722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from iuu.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - 4*y**2 + 2. Let x be p(4). Suppose 0*t = -5*j - t + 20, -j = -x*t - 4. Suppose -14 = -j*m + 2*m. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 64981?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 y when two letters picked without replacement from xryyyxyyt.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a**3 - 4*a**2 + 3*a + 3. Calculate the remainder when 89 is divided by h(3).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 242 and 8.\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*p - 39*p + 20 = 0. What is the units digit of 5*1\/p + (1 - -784)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-91)\/28)\/(-13))\/((-3)\/9)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + (-12)\/2*4. Let t = 31 + n. Suppose 0 = h - t - 10. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 21 = u, -5*q + 24 - 7 = 2*u. Let x(r) = 8*r - 2*r + 6 - r. Is x(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152718?\nAnswer: 2, 3, 25453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m + 15. Let i be 1 + 4\/(4\/(-9)). Let b be r(i). Solve 5 = -3*f - b for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 112 (b) -2\/29 (c) -2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/18943 and -58\/621.\nAnswer: 11763603","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 2*i - 542, -3*k + 6*k - 809 = -5*i. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - o - 3426. Suppose 0 = 3*v - o + 23. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12422 (base 5) to base 15.\nAnswer: 45c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23*f*v**4 - f*v**2 - 80*f*v - 2*v wrt v.\nAnswer: -276*f*v**2 - 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14278 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(1\/2)*c\/(c*c\/c**(-3\/25))*c**32\/((c*c*c**(-2\/55))\/c) assuming c is positive.\nAnswer: c**(16729\/550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-38)\/4 + (-1)\/(-2). Let h(f) = 262*f + 265*f - 9 + 258*f + 265*f - f**2 - 1059*f. Determine h(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**5 - 402*t**4 - 26324*t**3 - 316428*t**2 + 1623762*t - 1280610 = 0. Calculate t.\nAnswer: -31, -27, 1, 3, 255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of -2*n**6\/15 - 7*n**5\/15 + 13*n**4\/9 + 46*n**3\/9 + 4*n**2 + n - 8. Determine w, given that z(w) = 0.\nAnswer: -3, -1, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + -4fc?\nAnswer: -4ff","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1594192 divided by 2\nAnswer: 797096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/55 and 62\/35?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + 6*a. Let x(w) = 4*w**2 - w**2 + 3*w + 2*w - 2*w**2. Let m(c) = 6*b(c) - 7*x(c). Factor m(k).\nAnswer: -k*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/133 + (-243)\/(-684)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.13? (a) 275 (b) 2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1)\/(-6))\/((-4)\/(-32)))\/((-9408)\/2016).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28490 - 28425.023. Let p = -65 + m. What is the third smallest value in p, 2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-14)\/(-2 + 3 + -3) and (9\/(-4))\/(1\/(-4))?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*l**2 + 0*l + 9*l + 10*l**2 - 9*l.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3*w - 3121 - 22520 = 0, -d + 2*w = -12831. What are the prime factors of d?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -562144 by -4.\nAnswer: 140536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 103 - 67. What is the remainder when 178 is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 603780 to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**3 - 32*a**2 + a + 8. Let d be t(-16). Let c be (-6)\/((4\/8)\/(d\/(-76))). Which is greater: c or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*h = 100*h - 1072. Solve 0*g + 24 = -h*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 321 in decreasing order.\nAnswer: 321, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1081276?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1119734 and 14542.\nAnswer: 1119734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of -95\/4*l**4 - 96 - 119*l - l**2 + 0*l**3. Find the second derivative of d(k) wrt k.\nAnswer: -570*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -348250, -696500, -1044750?\n\"Answer: -348250*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -247670, -493514, -739358?\nAnswer: -985202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (90*c - 90*c - 14*c**2 + (-2*c + 2*c + c)*(-6*c + 3*c + 2*c))*(-3 + 6 - 12) + (-4*c + 4*c - c)*(-2 + 2 + c).\nAnswer: 134*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15.34 * -45.\nAnswer: 690.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6776 and 50820.\nAnswer: 101640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 + 16*u - 11. Let i(n) be the first derivative of n**3\/3 + n**2\/2 - 13*n - 3. Let d be i(0). Let o be k(d). Round o to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -h. Suppose h = -4*v + 3*d - 4*d + 13, v = 4*d + 16. Suppose -3*a - v + 1 = 0. Which is smaller: a or -1\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 1030, 5, 2\/17, -0.1, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + 6*q - 5. Let z = 2 + 3. Let h be k(z). Let o = h + 1. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 1, -1.3, 0.04 in ascending order.\nAnswer: -1.3, -2\/5, 0.04, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29 - (-6 + (-26 - -15))) + -5?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 3. Let q be (5\/(-6))\/(3\/((-36)\/20)). Let h = -5 - -3. What is the nearest to p in 1\/5, q, h?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30065349 divided by -111.\nAnswer: -270859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 483?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5367984 weeks to milliseconds.\nAnswer: 324655672.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = 4*p + p. Let s = p - -29. Is s a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1577*f - 1453*f + 215673 = 58113 for f.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 0. Let g(n) be the second derivative of n**5\/60 - n**4\/12 + 2*n**3\/3 + 21*n**2\/2 + 11*n. Let v(s) be the first derivative of g(s). Calculate v(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**3 - 7*g**2 + 4*g + 8. Let p(m) = 5*m**3 - 15*m**2 + 9*m + 17. Let o(v) = 3*p(v) - 7*r(v). What is o(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 5*d - 93, 30*a = 2*d + 31*a - 35. Solve 21*r - d = 12*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 5915*o + 175. Let w(z) = 987*z + 30. Let b(l) = 6*c(l) - 35*w(l). Let y(t) = 15*t**2. Give b(y(g)).\nAnswer: 14175*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2 + 4275*x + 135630.\nAnswer: 5*(x + 33)*(x + 822)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 111 + -108. What is the third biggest value in z, -121, 1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -121 - -126. Sort -15, 0, a.\nAnswer: -15, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54 (base 9) to base 8.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/9*(-165)\/(-1100).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate h**3 + 17*h + 439 with respect to h.\nAnswer: 3*h**2 + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k - 4. Suppose 2*i + 12 = -4*r, -4*i + 0*i + 24 = -4*r. Let j be ((-7)\/4)\/(r\/(-16)). What is the units digit of c(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 20516 and 11518.\nAnswer: 32034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010100101000010100001 - 11?\nAnswer: 1010100101000010011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 182772 and 456930.\nAnswer: 913860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 + 5*w - 2. Let s be h(3). Suppose s - 34 = -5*x. Let m = x - 1. List the prime factors of m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1458 + -238513863.5?\nAnswer: -238512405.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -595, -1189, -1783, -2377, -2971?\nAnswer: -3565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 - 87) + 61 + (-1 + 0 - -9) + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-13) + 335\/65. Suppose -313 + 3784 = 13*i. Suppose t*u - 478 = i. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of i**5\/30 + i**4\/24 - 4*i**2. Suppose -15 = -4*f + f. Let d be h(f). Calculate the highest common factor of 22 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 + 33 = -2*k - 5*s, k + 67 = 2*k - 2*s - 4*s for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -92*v**2 + 2*v**4 - 93*v**2 + 280*v**2 + 15*v - 97*v**2 + 0*v**3 + v**3 + 1 to d*v**4 + a*v**3 + h*v + t*v**2 + y and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 3:48 AM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02309 rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -1. Let u(i) = 2*i - 1. Let a(l) = 6*k(l) - 2*u(l). Let c = 6 - -9. Suppose 4*s + s + c = 0. What is a(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 z when two letters picked without replacement from {w: 1, z: 1, x: 2, n: 4}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*-19.\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 39*d + 2294. What is s(-54)?\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, 3, 32, 2, 0.095, -5 in decreasing order.\nAnswer: 32, 3, 2, 0.095, 0.01, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**2 - 2*w**2 - 2*w**3 + 1253 - w + 2*w**4 - 1251 as x*w**2 + o*w**4 + p + l*w**3 + n*w and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15540*b**3 - 8465*b.\nAnswer: -93240*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 23*r**2 + 21*r - 2. Calculate n(22).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 428 - 233. Let q = -107 + l. What are the prime factors of q?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l. Let w be s(3). Let d(a) = -w - 7 - a + 18. Let f be 1\/(-5) + (16\/5 - -3). Give d(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 5 + r)*(-2*r + 9*r + 8 - 8*r).\nAnswer: -r**2 + 7*r + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1211 + 17*y**2 - 4*y**4 + 40*y**3 - 112*y - 5*y**2 + 1131 = 0 for y.\nAnswer: -1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 46, -6872, -5 in decreasing order.\nAnswer: 46, -2\/9, -5, -6872","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 0 = 12. Suppose f*u + 2 = 26. Calculate the remainder when u is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 19 = -5*a, 859*s - 857*s + 30 = -8*a for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12101 is divided by 29?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = r - 5*b, 48 = 4*r - 3*b + 38 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10555 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 746 is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 3:51 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.3 rounded to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -33391369.\nAnswer: -33391369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -16*o - 3. Let a(t) = 31*t + 5. Give 4*a(f) + 7*m(f).\nAnswer: 12*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 12:34 PM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 7) in base 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -4, -3\/194, 0.11?\nAnswer: -3\/194","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - 6*q**2 + 361*q - 1066. Calculate r(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1191*o - 588697 = -589888 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, y: 2}. What is prob of sequence ybby?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -42 + 8*k - 18*k + 10*k - k**2 + 58.\nAnswer: -(k - 4)*(k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 104103253 times 4\nAnswer: 416413012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + u = 0. Suppose u = -s - s + 18. Let b = -33 - -69. Calculate the highest common divisor of b and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -98, -264, -542, -932, -1434, -2048?\nAnswer: -2774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6461003\/156 - 41417. What is the common denominator of g and 119\/572?\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -6*h + 11 + 4 - 15. Let f(r) = 4*r. Let x(m) = 15*m. Let n(z) = 22*f(z) - 6*x(z). Calculate b(n(p)).\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -63 + 68. Let x be 140\/175 - (-6)\/m. Suppose -r - 4*u = -483, u - 5*u = x*r - 982. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 1:57 AM?\nAnswer: 11:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.05521985 + 2.49524025. Let o = j + -2.44. Round o to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + g**2 + 6*g - 10. Give q(4).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, w: 5, u: 4, n: 1, m: 1}. Give prob of picking 1 n and 1 m.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 170, 174, 178?\n\"Answer: 4*f + 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 5*k - 10*k - 108 = 0, 5*k = -3*v + 48. What is the highest common divisor of 403 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + 10 + -16 + -13 + 12?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-60)\/8)\/(-3)*-2. What is the third smallest value in 3\/4, 0, f?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/44 and 65\/32?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -1 (b) -38\/7 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/8 - 129009*c\/4 - 16643322081\/8.\nAnswer: -(c + 129009)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4771, -9530, -14273, -18994, -23687?\nAnswer: -28346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 35.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 2*s - 25. Let z(p) = 2*p + 6*p - s*p. Let m(t) be the first derivative of 2*t**3\/3 - 1. Give z(m(c)).\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -z - 1. Let a(g) be the first derivative of g**3\/3 - 2*g**2 + 26*g - 7. What are the prime factors of a(z)?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 41769947?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 * -29.\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 11:16 PM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.215 * -5.\nAnswer: -1.075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 84*x**4 - 31*x**2 - 20.\nAnswer: 2016*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -141165, -282458, -423751?\nAnswer: -565044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34 by -67.\nAnswer: -34\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 162846 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1595 (base 15) in base 2?\nAnswer: 1001000100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + 3*a**2 + 5*a + 2. Let j be s(-3). Let v = 58 - j. Suppose -4*c + v + 69 = -4*z, 3*c - 109 = 4*z. Does 13 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 52289312 to the nearest integer?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 38\/(-110) + (-67)\/(-1474)\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n + 24 = -10*n. Suppose -2*x - 48 = -n*x. Let f be (-5)\/10*x + 7. Solve -a - f*a = -12 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 - 3*q**2 + q - 1. Let p(t) = -3*t**3 - 111*t**2 + 7*t + 255. Let o be p(-37). Give z(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 15, -0.3, -29?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**2 - 4*q**2 + 60 + 5*q**2 - 27 to the form d + i*q + a*q**2 and give d.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 - -6716?\nAnswer: 6710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 1292*r - 48756. Calculate l(37).\nAnswer: -952","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -436 - -623. Let l = p - 186.916. Round l to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1379?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 PM and 2:46 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*p*w**2 - 79*p*w - 286*w**2 wrt p.\nAnswer: 2*w**2 - 79*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4248 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -12, 6, 26, 48, 72?\n\"Answer: u**2 + 15*u - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*d - 147 = 251 + 241 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g + 12 + 0 - 12.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(-8)\/(-550)*35\/(-518)*-11?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddjqjfffjjd. What is prob of picking 2 j?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -15*u + 5. Give m(2).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 29, 156, 295, 446, 609?\n\"Answer: 6*o**2 + 109*o - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 - 18*y - 1. Determine a(-18).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**3 - 5 - 2*f**2 + 5 - f**3 + f**3 + 2*f**3 + (2*f**2 - f**2 - 2*f**2)*(-3 - f + 3) in the form g*f**3 + h + p*f + s*f**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**3 - 10*s**2 + 11. Let p(b) = b**3 - b**2 + b. Let w(n) = -c(n) - p(n). Let q be w(-11). Which is bigger: -1\/8 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 3. Let q = -0.0082 - 19.9918. Put s, -1\/4, q in ascending order.\nAnswer: q, s, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -736, -572, -420, -286, -176, -96?\n\"Answer: -l**3 + 171*l - 906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 - 3*u**2 + u + 10. Let n be v(-3). Solve 5*i - 5*i = n*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-2)\/2)\/(5 - 4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136600.\nAnswer: 2, 5, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, -6, -28, -66, -126?\nAnswer: -214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1198 - -2715. What are the prime factors of h?\nAnswer: 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1593 divided by 531\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1394317805 and 2?\nAnswer: 2788635610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 3:18 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 0*d. Suppose d*w + 15 = 5*w. Let h = -8 - -13. Solve h*n + a - 26 + 5 = 0, 0 = 4*n + w*a - 8 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -1 + 3 + 4 + -5 + sqrt(980)*-2.\nAnswer: -28*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of q**5\/60 - 69*q**4\/8 - 1413*q**2. Let l(r) = 2*r. Determine l(d(n)).\nAnswer: 2*n**2 - 414*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 1, -0.1, -0.3, -4.99, 12 in ascending order.\nAnswer: -4.99, -0.3, -0.1, 2\/9, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - 26*t**2 - 505*t - 54. Let j be m(39). Suppose -2*g - 2*g + 72 = 0. What is the highest common factor of g and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h + 5. Let g be q(5). Let b(o) = 0*o - o**2 + g*o - 2*o**2. Let c(u) = -3*u. Give b(c(w)).\nAnswer: -27*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9595740 divided by -14070?\nAnswer: -682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 751840 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000123484 to seven decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 9*n**2 - n - 1. Suppose -6*d + d - 5 = 0. Let v be y(d). Let g be (-2)\/(-9) - 8\/v. Which is the biggest value? (a) 2\/3 (b) g (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7 or -6?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -640450.6 + 0.256049.\nAnswer: -640450.343951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -664 + 686 = 2*f + 2*r, 3*f = 3*r - 15 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h - 2. Let u be o(-12). Solve -w + 3*w = u for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -164?\nAnswer: -166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-69 - -85) + (-27 - -3)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*w - 8129 + 7589 = 0. Put 61, 0, w in ascending order.\nAnswer: 0, w, 61","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -334.43 + 329. Let v = t + 5.430004992. Round v to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*v - 35*v + 96 = 0. Find the common denominator of (26\/(-100))\/(v\/60) and (-436)\/9*(-2)\/16.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.77 - 7.\nAnswer: -8.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 8746 * 1295\nAnswer: 11326070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 179, 257, 387, 569, 803, 1089?\n\"Answer: 26*g**2 + 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 + 12. Let v be 0 + (-5)\/(-50) + 18\/(-20). Sort z, 15\/2, v.\nAnswer: z, v, 15\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bnb when three letters picked without replacement from {b: 3, n: 11}?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.12939 - 1.08486. What is c rounded to one dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 0*y - 12 = 0. Let k(a) = -2*a - 3. Let g(b) = 3*b + 13. Let d(o) = g(o) + 2*k(o). Calculate d(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 75 + -75.4. What is the second biggest value in -0.04, 0, l?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 36 = -p. Let d = 4 - -12. Calculate the remainder when d is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - 10*q**2 - q + 8. Let r(m) = -m + 1. Let c be r(-2). Let d be 10\/(c + 1*-4). What are the prime factors of l(d)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2134791868?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 291*t**3 + 4*t**2 - 31*t - 35. Give s(-1).\nAnswer: -291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 27*x - 8. Let n(m) = -92*m + 31. Let l(a) = -14*c(a) - 4*n(a). Calculate l(-7).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 359.7 - 328. Let x = i - 31.6607. Round x to three dps.\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -10\/29, -2, -4?\nAnswer: -10\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -207857 + 323633368\/1557. Calculate the common denominator of f and 41\/10.\nAnswer: 15570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 457865 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40307\/1623 + -5\/3246. Calculate the common denominator of q and (-182)\/(-16) + -1 + 2.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**2\/((h**6\/h)\/h))\/(h**(3\/4)*h*h**(-7)\/h) assuming h is positive.\nAnswer: h**(17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 4079 divide 2464564432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 39267913 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -106460*a*m**2*y**3 + a*m*y**2 - 108742*a*y**2 - 5*m**2*y**3 + 55*m**2*y**2 wrt y?\nAnswer: -638760*a*m**2 - 30*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - -5 - ((44 - (9 - -2)) + -6).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/1624 and 113\/72?\nAnswer: 14616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-18) - 4\/(-216)*-102 - -1.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = c - 16, 120 - 32 + 16 = 13*c for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.14423 + 0.10423. Which is greater: b or -81\/14?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 0, -4*h + 8 = -0*h - 5*v. Suppose 57 = h*j + j. Is 19 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3504203, 3504117, 3504031, 3503945, 3503859?\nAnswer: 3503773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32432?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17970326.\nAnswer: 2, 11, 17, 48049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 47 and 12899855.\nAnswer: 12899855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4831*a + 2565*a + 266256 = 0 for a.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2)*(97*b - 91*b + 70*b + 108*b).\nAnswer: -368*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1124 + -1121. Let r = 56 + -31. Suppose 0 = -3*m + 5*y - 5, r = -3*m + 4*y - 9*y. Sort -2, h, m in decreasing order.\nAnswer: h, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93149 is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4352.92 and 5692470?\nAnswer: 5696822.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 63518891497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3202055 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/50 of a tonne?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 443138*q**2*y**2 + 618*q**2*y - 4845*q**2 - q*y + 628*y**3 wrt y?\nAnswer: 886276*q**2 + 3768*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(-1) + (-1)\/(-2). Let y be (-11)\/(-14) - 7*(-4)\/(-56). Let q = 4 - 0. Which is the nearest to t? (a) q (b) 0 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2470347 is divided by 1290?\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/10 and ((-64)\/8)\/32*356\/50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of -7\/12*l**4 - 1\/10*l**5 + 1\/3*l**3 + 0 + 7\/30*l**6 + 0*l**2 - 9*l. Let q(g) = 0. What is g?\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -154483\/10574 at least -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 159287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*42504.094.\nAnswer: -212520.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {l: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 5*c + 7327, 20*z - 18300 = 15*z - 5*c. What are the prime factors of z?\nAnswer: 7, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 938 is divided by 40?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -9 + 8 + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 PM and 8:01 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-4 - -5)\/(-5) - 92\/(-35) and 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of g**4*q + 33*g**3*q + 131*q wrt g?\nAnswer: 4*g**3*q + 99*g**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -38*u - 34. Let g(n) = -16*n - 17. Calculate 7*g(c) - 3*t(c).\nAnswer: 2*c - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**21\/i))\/(i*i*i**(2\/7)*i*i))\/(i**(-3)\/(i*i**4\/i*i*i*i)) assuming i is positive.\nAnswer: i**(-93\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2683, 2064, 1455, 862, 291, -252, -761?\nAnswer: -1230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 9 = 0, 2*a + 2*f - 5*f = 73. Let m = -19 + 27. Calculate the greatest common factor of m and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*q + 74*q - 251*q = -3000 for q.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - 1. Let o = 0.7 - 0.4. Which is the third smallest value? (a) o (b) m (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-18)\/4)\/1*24\/18. Which is smaller: x or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 1:23 PM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 17, -3, -54 in increasing order.\nAnswer: -54, -3, 6, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.07 and 0.107.\nAnswer: 0.177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**3 + 4*d**3 + 6*d**3 - 2*d**2 + 3*d - 3*d**3 + 2*d**4 - 4*d**3 to the form u*d**3 + i*d**4 + s + x*d + y*d**2 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 91\/(-52) + 3\/4. Let d be (3 - (-1)\/w) + 2. Let l(z) = z**3 - 3*z**2 - 2*z - 4. Give l(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 5*s = -0 - 7, -2*s = 4*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7474037 less than -5?\nAnswer: 7474032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12865?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u - 4. Let n(f) = 18 - 4*f + 11 - 41 + 6. Give -7*m(l) + 5*n(l).\nAnswer: l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 w when two letters picked without replacement from {w: 1, e: 1, m: 1, q: 3, c: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 11738941?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6258.\nAnswer: 2, 3, 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2 + 5*p**2 - 4*p**2 + 4 - 10*p. Suppose 21*i = 213 + 18. Determine z(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 3*s - 1. Let n be (1 - -3 - 2) + -4. What is j(n)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1375218954 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b**2*l**2 + 9*b**2*l + 157*b**2 + 71*b*l - b + 200573064*l**2 - 47 wrt l?\nAnswer: -2*b**2 + 401146128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-1863)\/1404)\/23*(-24)\/9\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*t + 3 - 3 + 21*t in the form g + p*t and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17.7 - -21. Let q = b + -5.3. Let n be 1 + (0 - 4\/1). Which is smaller: n or q?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 860971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + 106\/10 + 6\/15. Let u be (2\/(-4))\/((-2)\/y). Solve 1 = 2*j + u for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 - 4*c + 4. Let g(v) = 3*v**2 - 11*v + 11. Let q(p) = 4*g(p) - 11*r(p). Calculate the remainder when q(5) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (500\/6)\/((-1377 + 9)*(0 - 1)) and 107\/3192.\nAnswer: 28728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-38)\/57 + (-2)\/(-3). Suppose p = s, 6 = 3*l + s - 2*s. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, -5, 3, 2, 4.\nAnswer: -5, 2, 3, 4, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 6 = -4*j, 4*b = j + 3*b + 6. Let p be 0\/j*3\/(-6). Which is smaller: 1\/6 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200301211 (base 4) in base 7?\nAnswer: 1066246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vybc when four letters picked without replacement from vyrrvcynvcbb?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1729187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13.36341km to meters.\nAnswer: 13363.41","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4\/21 (b) 33 (c) -0.9 (d) -13 (e) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20421.22112 - -20341.47. Let j = 186.75169 + h. Let b = j - 107. Round b to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -a**4\/4 - 619*a. Let j(z) = 3*z**2 + 8*z. Let o(c) = 2*c**2 + 5*c. Let g(y) = -5*j(y) + 8*o(y). Give g(b(q)).\nAnswer: 9*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 + -10. Let o = -0.2 + 0.3. Which is the third biggest value? (a) -3 (b) o (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2*3\/12)\/((-4)\/40)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (351\/13)\/(-108)*-2*6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zrrrzwwrfrtwrwtzz. Give prob of picking 1 z and 1 f.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - 4785?\nAnswer: -4780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 4860\nAnswer: 14580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1996415?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (134\/(-14) - (14 + -24)) + (-29)\/35. Which is the second biggest value? (a) 0.11 (b) 0.2 (c) k (d) 2\/175\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*d + 29*d = 77896. List the prime factors of d.\nAnswer: 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 48*k**2 - k + 51. Let v be r(48). Put -4, -5, 6, v in descending order.\nAnswer: 6, v, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57, -11, 5 in descending order.\nAnswer: 5, -11, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 43*m**4 - 86738*m**3 + 107220*m**2 - 7*m - 2?\nAnswer: 1032*m - 520428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kf when two letters picked without replacement from vktfkktkvkkkkk.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.3 - 52.3. Let y = f - -51.08. Which is the third biggest value? (a) 2 (b) y (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -972706*j**2 - 599190?\nAnswer: -1945412*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.9, -5, 5\/2, 1 in increasing order.\nAnswer: -5, -1.9, 1, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2, 2, -4, -16, -34, -58?\n\"Answer: -3*p**2 + 9*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1465.7 - -1466. Which is the closest to -2\/7? (a) d (b) -1\/3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 231552762 by 3777.\nAnswer: 61306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.61 - 0.39. Which is the biggest value? (a) -4 (b) 0.1 (c) 0.03 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -102 - -915. Suppose 7*g - 3907 = -f. What are the prime factors of g?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 90195660 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 410609 to the power of 1\/2, to the nearest integer?\nAnswer: 641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - -19 - (0 - -4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*(-10)\/75 - (-146)\/10. Suppose 0 = 2*s - 7*s + z. Solve 0 = -3*l - 3*c + 15, 0*c = s*l + c - 7 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3480.8 to the nearest 100.\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 754333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 - 892\/(-176)) + 4\/22. Sort w, -1, -0.2, 2\/9 in descending order.\nAnswer: w, 2\/9, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1558 divided by 2\nAnswer: -779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 137*v**2 - 2*v. Let c(u) = -12*u - 5. Give t(c(m)).\nAnswer: 19728*m**2 + 16464*m + 3435","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 587, 3, 2, -3806, -4 in descending order.\nAnswer: 587, 3, 2, -4, -3806","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 0.3 (c) -4536 (d) -10.6 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 24242124?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-2\/31)*w\/(w\/(w*w**8)*w*w))**(-2\/15))**(2\/93))**(1\/9) assuming w is positive.\nAnswer: w**(-172\/77841)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30501?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/(f*f**(-24\/5)))\/f*f**(2\/13))\/(f\/(f*f**(-22))*f**(-2\/35)) assuming f is positive.\nAnswer: f**(-1546\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 13*c + 290. Let r be g(-22). Let i = -74 + 32. Is (24\/i)\/(r\/(-7798)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3, -0.6, 40\/1389?\nAnswer: 40\/1389","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 3*s + 9. Let l be j(10). Round l to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by -1692111.\nAnswer: -8\/1692111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**6*v*(v**(-12)*v*v*v)\/v)**(-2\/31) assuming v is positive.\nAnswer: v**(4\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -58\/365 and -29\/11972.\nAnswer: 59860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.3 - 0.2. Suppose 23*s - 145 + 53 = 0. What is the closest to b in -0.2, 2\/13, s?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -205, -370, -633, -1000, -1477, -2070, -2785, -3628?\nAnswer: -4605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 4:40 AM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -72*q + 73*q. Solve -x - 5 = v, -x - 14 = -q*x + 4*v for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5307603393.\nAnswer: 3, 19, 3083, 30203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 4*n - 4*c, -n - 23 = 4*c + c. Solve 0 = -4*r, n*k + 10 = -4*r + 2*r for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-2))\/((-3)\/6). Let c = -4 + w. Let m be (-4)\/(-2) - 2 - 1. Are m and c nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0 (b) 141 (c) -1 (d) 1624\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003235 to seven dps.\nAnswer: 0.0000324","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -2224.914025 to one dp.\nAnswer: -2224.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 20 (b) 428 (c) 316\/3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 53 - 27. Let l = -25.2 + p. Let c = l - 0.799. Round c to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2 + o - 652. List the prime factors of r(-36).\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in -2\/7, 2\/9, 119?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/9)\/s)\/(s*s**(-5)*s))**(-49) assuming s is positive.\nAnswer: s**(-784\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6576735*z**5 + 36*z**2 - 5*z + 7454.\nAnswer: 394604100*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k + 5. Let g(t) = 4*t + 1. Let w(z) = 5*z. Let n(l) = -4*g(l) + 3*w(l). Let f be (-4 - 1) + (12 - 0 - 4). Calculate f*r(i) + 4*n(i).\nAnswer: 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1744, 3486, 5230, 6976, 8724, 10474, 12226?\nAnswer: 13980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*59813.7.\nAnswer: -119627.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -0.08.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 425850 or 425744?\nAnswer: 425744","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(95*r - 346 + 346)*(5*r - r - 2*r).\nAnswer: 380*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-3 + (6 - -2) - -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5006 is divided by 1244?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7813043*h**3 - 7577114*h + 1.\nAnswer: -46878258*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3807308820 rounded to the nearest 100000?\nAnswer: -3807300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16\/13*h - 24\/13*h**2 + 12\/13*h**3 + 0 - 2\/13*h**4.\nAnswer: -2*h*(h - 2)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -152943*h**5*l**2 - 4*h*l**2 + 4*h*l + 14*l**2 + 2*l wrt h.\nAnswer: -3058860*h**3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15761833 + 11150833. What is v rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 PM and 7:14 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (2 - -4) - (-19 - -8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 225361200 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 730 - 703. Does 18 divide (-6)\/x - (-14610)\/135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6 + -3 - 3\/(-1). Suppose -2*y = -4*y + p. Find the second derivative of 53*c**2 - 53*c**2 + 4*c**y - 2*c wrt c.\nAnswer: 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 429 by -6.\nAnswer: -143\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dzdsd. Give prob of picking 3 d and 1 s.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2110 - -2276. Calculate the highest common divisor of k and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -32 + 17*s**3 + 34 + 3*s**3 with respect to s.\nAnswer: 60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of -n**5\/60 - 7*n**4\/24 - n**3 + 2*n**2. Let p be c(-5). Solve -2*d + 0*a = p*a - 6, 4*d + 4*a = 16 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/16 - 703\/(-444)*2418\/(-104).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 - 31. Let p be 7\/(28\/i)*-4. Suppose 3*v = -3*r + 15, -4*r + p = -r. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 e when three letters picked without replacement from {x: 2, e: 7, l: 1, g: 8, t: 1, u: 1}.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 - 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 2062000 to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 417 + -402. Let j = 147 - 59. Suppose 0*y - 2*y = -j. What is the remainder when y is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36983 is divided by 12320.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1003\/7 - 2\/7. Let n = -137 + o. Let c(s) = -s**2 + 5*s + 8. Determine c(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -9*k - 2183. Let v(s) = -11*s - 2172. Calculate 4*v(y) - 5*z(y).\nAnswer: y + 2227","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-671)\/(-9760) - ((-5)\/(-50))\/1?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.3300129 - 6.33. Round z to six dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 2*v = 22, -5*b + 40 = v - 5*v. Suppose -158 = -b*r - 30. Let x be 0\/(40\/r - 3\/(-4)). Solve -2*y + 3*y + 4 = x for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -52343, -52334, -52337, -52352, -52379?\n\"Answer: -6*l**2 + 27*l - 52364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 3*f**2 + f + 5*f**2 - 3*f**2 - 4*f**2. Let m be n(3). Solve -r + 4*r = m for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -356 - -210441217.\nAnswer: 210440861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 4 + 8. Which is the closest to 2? (a) k (b) -0.2 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 232298 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/5 of a centimeter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -l**3 - 4008*l + 6889 wrt l?\nAnswer: -3*l**2 - 4008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l + 20*l**3 - 376*l**3 - 4*l.\nAnswer: -356*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5176*b*y**2 - 153*b + 4*y wrt y.\nAnswer: 10352*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - 15*s**2 + 156*s + 57. Calculate o(-22).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/5*(-485)\/(-776).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 184 and 710953?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -2, -1\/8, 2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23065, -23223, -23383, -23545, -23709, -23875, -24043?\nAnswer: -24213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -111\nAnswer: 4\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -t - 5*b, t + 11*b + 1 = 17*b - 8*b for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/468 greater than -1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -10*n**3 - 208*n**2 + 11. Let b(p) = -2*p**3 - 41*p**2 + 2. What is 11*b(q) - 2*h(q)?\nAnswer: -2*q**3 - 35*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -160, -118, -2, 2 in ascending order.\nAnswer: -160, -118, -5, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -0*d - 24. Suppose -a = -4*i - 26, 9 = -4*i - 2*a - 11. Let l(x) = x**3 + 7*x**2 + 5*x + 8. What is the remainder when l(i) is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 46*d**2 - 13*d + 3. Is s(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -125250828*t**4 + t**3 - t**2 + 333849279*t?\nAnswer: -1503009936*t**2 + 6*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 407 + 1757 = -4*x, -5*v + 2158 = 2*x. Does 22 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 32*y**2 + 211*y + 27. Determine g(-9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -105470, -212876, -320270, -427646, -534998, -642320, -749606?\nAnswer: -856850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(sqrt(18)\/sqrt(243)).\nAnswer: 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33 + -13. Let l = 31 - c. Suppose -q + x - 6*x = -96, -2*x + 474 = 4*q. What is the highest common factor of q and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.66 in -1\/6, -4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by 14.\nAnswer: 9\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -45475, -45477, -45479, -45481, -45483, -45485?\n\"Answer: -2*l - 45473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*r**2 - 17*r**2 + 4*r**2)*(11 + 7*r**2 - 11) + r**4 - 8 - 132*r + 132*r in the form c + x*r + w*r**2 + g*r**3 + j*r**4 and give j.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 134123022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -17*r + 131. Give l(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b**2 + 14*b + 14. Let w be k(8). Sort 3, w, -1\/5, 2.1 in increasing order.\nAnswer: w, -1\/5, 2.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14226 by -4742.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2680*v - 23504. Determine h(-9).\nAnswer: 616","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**3 - 4*i**3 + 4*i**3 + (3 - 3 - 2*i)*(-8*i + 8*i - 19*i**2) as n*i**3 + s*i + p + o*i**2 and give n.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.014 - -37.014. Let a = g + -34.9. Round a to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -242*t - 3567 = 144*t + 5311 for t.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 2*c + 7*c + 12, -5*c - 14 = -2*f. Suppose -2*x + 10 = 4*m, -x - f*x + 11 = 2*m. Suppose -x*i + 2*i + 3 = 0. Solve -i = 3*l + 3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4a2a (base 13) to base 3\nAnswer: 112102102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, h: 3, c: 1, e: 2, v: 1, b: 9}. What is prob of sequence eh?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.2+-15.8\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 9*b**2 + 9*b - 2. Let k be g(-8). Let n = k + 7. Let j(x) = x**3 + 2*x**2 - 2*x + 3. Give j(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3409 + 3412. Let j be ((-4)\/(-2))\/(-2)*-3. Suppose 6 = 3*q, -z*s - 10 = -4*s - j*q. Solve -3*f + 4 = 2*a - 10, 17 = s*f + a for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(256) - sqrt(256)*4)*-4)\/(sqrt(8) - (sqrt(8)*-2 - sqrt(8))*5 - -2*sqrt(968)).\nAnswer: -3 + 24*sqrt(2)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*p*u**4 - p*u**2 - 1119*p*u - 13*u**4 wrt u?\nAnswer: 48*p*u**2 - 2*p - 156*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 - 5*u - 12. Suppose -3*s - 3*r + 15 + 6 = 0, 3*r = -4*s + 28. Let m be w(s). Solve -2*y = -q - 2, -m*q = 2*y - 1 - 1 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 3:52 AM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*n**3 - n**3 + n**3 + 25*n**2 - 34*n**2 to m*n**3 + h*n**2 + x + d*n and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4086, 8169, 12252, 16335?\nAnswer: 20418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffffffffff. What is prob of picking 3 f?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147 is divided by 47.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4311*v + 22379 = 138776 for v.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + 10*l - 9. Let k(h) = h**3 + 3*h**2 - 15*h - 18. Let n be k(-5). Determine t(n).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**1\/z*z*z*((z*z**(2\/3)*z)\/z*z)\/z)\/(z*z**(-2\/3)*z**(-3)) assuming z is positive.\nAnswer: z**(19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 11411.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - h**2 + h + 2. Let a be z(0). Suppose -5 = -3*x + 4. Let y = x - a. Solve 2*i + 3 - y = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -236347120 divided by 3193880\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 285424.74s to hours.\nAnswer: 79.28465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2201, -2167, -2133, -2099, -2065?\nAnswer: -2031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 139 = -6*o - 55, 3*o + 111 = -7*x for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/6 in 3\/8, -2, -4?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10442684773 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14170 is divided by 1835?\nAnswer: 1325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 0.9. Suppose 0 = -5*b + 5*u + 1470, 0 = -5*b + u + 712 + 766. Let f = -4438\/15 + b. What is the second biggest value in f, y, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-148)\/(-28) - (-2)\/(-7). Suppose -b + 2*c - 3 = -0*c, 0 = -m*b - 5*c. Calculate the common denominator of -2 - (87\/(-12) + b) and -75\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 137 by 55047.\nAnswer: 137\/55047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/3)*h*h)**39 assuming h is positive.\nAnswer: h**91","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 496340?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*r**4 + 19*r**4 - 161*r**4 + (-3*r**3 + r**3 + 3*r**3)*(0*r + 2*r - 4*r))*(6*r - r + 2*r) + r**3 + r**5 - r**3.\nAnswer: -1070*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 12903 times -1809\nAnswer: -23341527","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*v - 12. Suppose -4*t = 11 + v. Let q = 4 - t. Calculate the least common multiple of q and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34.4 + -39. Let q = v + 6. Let d = 1.54 - q. Round d to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 392633777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, -0.4, -1, -171, -2\/17?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -z**4\/5 + 9*z**3\/5 - 29*z**2\/5 + 39*z\/5 - 18\/5 = 0.\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of -4*i - 7 + 2*i**3 + 0*i**2 + 1\/4*i**4. Determine w(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 1023869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2343 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**1)**(-20)\/(o**(1\/4)*o**(2\/13)*o*o*o) assuming o is positive.\nAnswer: o**(-177\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 - 4*s**2 + 2. Let c be v(-4). Let j be 4 - (-5 - (-8 + 5)). Calculate the highest common factor of c and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 4. Let v be 2\/(-7) + (-95)\/35. Let l(z) = z - 3. Let s(g) = v*x(g) - 4*l(g). Let f(j) = -j. What is s(f(r))?\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 42 + -40. Let p(r) = 0*r**3 + 5*r - 8*r + 63*r**3 + h. What is the tens digit of p(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 0*a**2 - 7*a**2 + 8*a**2 - 7*a + 28 - a**3 - 13*a**2. Is c(-13) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 328688 is divided by 32868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10355 and 114?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 99.6654mm in kilometers?\nAnswer: 0.0000996654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-10864)\/4312*-11)\/(2\/(-14)*2)\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 - 11*r - 8. Let z(x) = -59*x - 231. Let q be z(-4). Let m be (-1)\/((60\/500)\/(6\/q)). Determine c(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*n + n - 4*n)*(206 + 385 + 1201)*(0 + 5 - 2) to the form z + a*n and give a.\nAnswer: 5376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14682 = -5*i - 2493. Is ((-2)\/2*1)\/(5\/i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -105.006 + 106.5. Let o = q - 0.4028. Let j = 1.1 - o. Round j to 3 decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*l + (3 - 5 + 3)*(0 + 0 + 2*l) + 6*l - 4*l - 4*l)*(l + 3*l - 2*l)*(248 + 2734 + 1186).\nAnswer: 16672*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 407792*f**4 - 63*f - 4818?\nAnswer: 4893504*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 - 0.5. Let o = -1.197 - 0.003. Let u = o + i. Which is the third smallest value? (a) u (b) -1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 913, 1823, 2729, 3631, 4529?\nAnswer: 5423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 144017468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a + 10*a - 6*a + 8*a.\nAnswer: 17*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -172.2 and 589.2?\nAnswer: -101460.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -62, 0.02 in descending order.\nAnswer: 14, 0.02, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -836a14 (base 12) to base 11.\nAnswer: -119025a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + 10*z + 20. Give p(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -342*u**2. Let w(f) = -4*f**2. Give w(t(o)).\nAnswer: -467856*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14131 + -14130.999985382. Round m to seven dps.\nAnswer: 0.0000146","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2099239191?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r + 0*r - 3*r)*(-6 + 37 - 1) - 5*r + r + 3*r + (0 + 1 - 3)*(2 - 2 - 2*r).\nAnswer: 63*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jeeu when four letters picked without replacement from {u: 6, e: 3, j: 2, r: 1, w: 3}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3999 * -0.4.\nAnswer: -1599.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.106088 rounded to three dps?\nAnswer: -0.106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0 + 12*i**2 + 15*i**3 + 4 + 18*i - 6 wrt i.\nAnswer: 90*i + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.327 + 0.173. Which is the biggest value? (a) -0.2 (b) q (c) 0.8 (d) 2\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(136) + (sqrt(136) - sqrt(136)*4))*2 - sqrt(136))\/(sqrt(128)*1))**2.\nAnswer: 425\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 36\/280885 and -83\/23830.\nAnswer: 1338697910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2984? (a) -5 (b) -7\/3 (c) 2\/23 (d) 5 (e) -30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 564036 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -2. Let v be (2 + u)\/3*3. Suppose -4*x + 19 = 3*w, -v*x + 18 = x + 2*w. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.2 + 8.8. Sort u, -0.1, -5\/2 in ascending order.\nAnswer: -5\/2, -0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31538 to the power of 1\/2, to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 21*w + 100 = 4, 869*w = -2*c + 870*w + 4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(((-3)\/10)\/(24\/20))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/7? (a) -17 (b) -42 (c) -2\/13 (d) 2\/7 (e) 0.3 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1110788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 2603?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -1. Let w = -372 + 369. Sort w, y, -5, 3.\nAnswer: -5, w, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = 298 - 307, d = -w - 8 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q = -53 + 26. Calculate the remainder when 118 is divided by -8*q*((-36)\/8 - -4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-14))\/(6\/(-21)). Solve -5*p = x - 6 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6\/2491 + 271351\/69748. Find the common denominator of q and 75\/272.\nAnswer: 1904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 122381*c**2 + 280018.\nAnswer: 244762*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -12, -44, -110, -228, -416?\n\"Answer: -3*n**3 + n**2 - 14*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**4 - 2*z**4 + 2*z**4 + (0 + 0 + z)*(0*z**3 + 0*z**3 + z**3))*(36 - 82*z - 36) + 0*z**5 - 3*z**5 - 2*z**5 - 2*z - 3*z**5 + 2*z.\nAnswer: -254*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/3 - 211374*y**2 - 422749*y - 634124\/3.\nAnswer: (y - 634124)*(y + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.3 - 1.7. Let j = t + 6.9. Round j to 0 dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 470 is divided by (266\/(-399))\/(1 + (-13)\/12).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 20 = -5*a, 5*a + 8 = 2*b + 34. Is a greater than or equal to 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 30 = 4*a - 74, -3*a - 5*b = -25. Calculate the smallest common multiple of a and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 139*r + 29688*r**3 - 139*r.\nAnswer: 29688*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-5 - 2) + 5 + 1340?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 13 + 24 = 5*k, -1 = c - k for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 - 28*y - 31. Let v be q(-27). Let g be v\/14 - (-159)\/7*-8. Let b = g - -414. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -m + 12. Let o(v) = -2*v**2 + 39*v - 3. Let u be o(19). Suppose i + u*i - 187 = 0. Calculate the remainder when m is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 229*h - 152*h - 2246706 = 0. What are the prime factors of h?\nAnswer: 2, 3, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 12 + 7 + -17 + -12?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of j**7\/21 + 3*j**4\/4 - j**3\/3 + 27*j**2\/2 - j - 17. Find the second derivative of p(u) wrt u.\nAnswer: 40*u**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 753 - 682. Let f(x) = -3*x**2 + 7*x - 4. Let p be f(6). Let l = p + s. What is the highest common divisor of l and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (722\/(-228))\/((-1)\/(-2)) + (-3)\/(-9). Let w(p) = 9*p + 8. Give w(k).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9852*d**3*f**2 - 4*d**3*f - 214*d**3 - 2*f**2 + 3*f wrt f?\nAnswer: -19704*d**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 less than or equal to -38303\/24750?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 1:52 PM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.11 + 0.02. Let c = 43.76 - 44.67. Let k = h + c. Which is greater: 6 or k?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -314992 + 315124. What is the least common multiple of ((-2)\/(-4))\/((-1)\/(-24)) and f?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1533582 by 15.\nAnswer: -511194\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a - 6*a + 186. What are the prime factors of a*-1*(-3 + 1)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 1:43 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9 - (-12)\/6*3 - 5. Which is the closest to -2? (a) d (b) -0.3 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 65*y - 23. Let z(g) = -1. Let k(t) = -x(t) + 5*z(t). What is the units digit of k(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.8 greater than -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**3 - 3*w**3 + 4*w**3 + (2*w**2 + w**2 - 4*w**2)*(3*w - w + w + (-3 + 2 + 4)*(2 - 2 - 2*w)).\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -3. Solve 14 = -3*a + 2*x, 8*a + k*x = 5*a - 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 6 - 10. Suppose -59 = -k*s + 185. Calculate the remainder when s\/3 - (-3)\/9 is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jqi when three letters picked without replacement from {q: 10, j: 2, i: 6, h: 1, f: 1}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -196233350 + -0.12?\nAnswer: -196233350.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -766 - 4*q + 18*q**2 + 766 to r*q**2 + g + u*q and give r.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hsn when three letters picked without replacement from {o: 3, v: 2, i: 1, n: 1, s: 3, h: 2}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*2*(-27)\/3348*-62.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 8 = 0, -2*k + 3 = 2*j - 9 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/(sqrt(400) - (sqrt(400) - 3*sqrt(400))).\nAnswer: sqrt(19)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 5*u = -2*u + 1, 3*s = -2*u - 1. Let z(n) = -7*n**3 + n**2 + 3*n - 3. Let d(q) = q - 1. Let w(f) = 2*d(f) - z(f). Give w(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 12:01 PM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/8)\/((-105)\/280)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/6 + (0 - -2))*(26599 - 26584)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - (10\/2)\/(-1). Suppose 286*z - 784 = -212. Solve f*w - z*w = -6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*u - z - 0, 0 = -5*z + 25. Let d(v) = -5*v**3 - 2*v**2 + 1. What is the units digit of d(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1358502*2\/(-22) - (-24)\/(-132). Round r to the nearest 1000.\nAnswer: 124000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -110*r**3 - 2*r**2 + 2*r + 3. What are the prime factors of k(-1)?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i + 4722*i**3 - 4719*i**3 + i.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*j = -7*j + 7*j - 1541 for j.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 50*f - 2. Let t(u) = -u**3 + 20*u**2 + 30*u - 163. Calculate the remainder when p(2) is divided by t(21).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i + 28. Let y be m(8). Let z(o) = o**3 - 9*o**2 - 23*o - 9. What are the prime factors of z(y)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 88.3 - 97. Let p = -721930679.29999951 + 721930688. Let v = w + p. Round v to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 832 or 831?\nAnswer: 831","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - x = -150, 5*x + 113 = 3*a + 12. Calculate the remainder when 64 is divided by a.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20.66 + 20.86. Sort 7\/3, h, -0.3, -141, 4 in ascending order.\nAnswer: -141, -0.3, h, 7\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of -2*n**5\/19 - 17*n**4\/38 + 26*n**3\/19 + 153*n**2\/19 + 108*n\/19 + 1691. Solve d(p) = 0.\nAnswer: -3, -2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*t**3 - 13 + 21*t**3 + 15.\nAnswer: 39*t**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/12 - (-13)\/(-2). Let v = i - -100. List the prime factors of v.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-220)\/80 - (-5 + 2)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 1. Let f(n) be the first derivative of n**6\/360 + n**5\/30 + n**4\/6 + 14*n**3\/3 - 17. Let l(q) be the third derivative of f(q). Calculate l(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u**2 - 52*u + 128 = 0. Calculate u.\nAnswer: 4, 32\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 496*z**2 - 273*z**2 - 384*z**2 - 1 - 3 in the form v*z + f*z**2 + l and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -3\/2 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 smaller than 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 5\/2, -0.4, 35?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hepd when four letters picked without replacement from {d: 3, e: 1, p: 2, g: 3, h: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -550 (base 10) to base 14\nAnswer: -2b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -4, -12, 3 in decreasing order.\nAnswer: 3, 0, -3, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + 2. Let t = -4.85 + k. Let i = 1.15 - t. Which is the biggest value? (a) i (b) -1\/7 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**2 - i**2 + 0*i**2)*(-i - i - i)*(1 + 3 - 1) + 2*i**3 + 2*i**2 - 2*i**2 + 2*i**3 - 4 + 4 + (2*i + 3*i - 6*i)*(-2*i - i**2 + 2*i) + 0*i - i**3 + 0*i.\nAnswer: 22*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - 9 - (6 - -1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2 + 2*q + 119 - 191*q - 225 + 106.\nAnswer: -3*q*(q + 63)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 17846 + 869 = -f, -2*g = 4. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 220 + 230 = -5*j, 3*j + 6 = -2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/6 - (-552)\/18. Suppose 2*c = -0*c - 3*z - 9, 0 = 5*c - 3*z - g. Find p such that -21*p**c + 38*p**2 - 2*p**2 - 3*p + p + 14*p = 0.\nAnswer: -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(91)*1 - sqrt(91))*-1)\/(3*(sqrt(700) + sqrt(700)*2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m + 2. Let i be (-18)\/(-4) - (-11)\/(-22). Let z be o(i). Suppose u = -4*h - 10, u + h = 5*u - 45. Which is greater: u or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 27\/(-6)*4\/6. Let t be 5\/(1304\/(-434) - v). Let r = t + 10877\/10. Calculate the common denominator of -39\/5 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7416 + 7410. Sort 4, q, 2, 1 in decreasing order.\nAnswer: 4, 2, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - (4 - 5 - -5). What is the least common multiple of (-22)\/y + 5\/(-15) and 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -56\/1190045 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 109292915?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 33 and -1470338?\nAnswer: -48521154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -8*(-13)\/(-26) + 514 is divided by 248.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v + 34 - 20 - 14.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 509*t**2 + 299*t + 107617. What is u(510)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 13*u - 43. Let l be r(12). Let n = l - 108. Solve n*c = 7 + 3 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77021 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*g - 10567 - 4*g + 10567.\nAnswer: 17*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*t**5 - 534*t**4 + 20028*t**3 - 243846*t**2 + 608769*t + 873180 = 0. Calculate t.\nAnswer: -1, 5, 21, 132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4*(5\/(-5))\/(-4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6302880\/1440 - (5\/(-2) - 4\/(-8)). What is the highest common divisor of 906 and m?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35 + 40. Does 4 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*y - 1665 = -43*y - 4*g, 3*g = 2*y - 3286. Is y a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 13 from 57683387.76665.\nAnswer: 57683374.76665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -97, -193, -291, -391, -493, -597, -703?\nAnswer: -811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -5*n**3 - 5*n**2 - 194*n - 10. Let m(r) = 16*r**3 + 16*r**2 + 577*r + 32. Give 13*i(a) + 4*m(a).\nAnswer: -a**3 - a**2 - 214*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 50*s**5\/3 + 1610*s**4\/3 + 7238*s**3\/3 - 96826*s**2\/3 + 73568*s\/3 - 14440\/3 = 0.\nAnswer: -19, 2\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from cxcccxcccccc.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1773 + -1756. Which is greater: 47\/3 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-5\/3))**(-18))**(3\/2) assuming t is positive.\nAnswer: t**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 2071.8, -3\/4, -1\/3, -2 in ascending order.\nAnswer: -2, -3\/4, -1\/3, -0.3, 2071.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(49)\/(sqrt(63)*-4) - -2*(sqrt(7)*4 + 3).\nAnswer: 6 + 95*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 19e8 (base 16) to base 15\nAnswer: 1e72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + 5*x**2 - 15. Let l be n(-4). Is l + -3 - (-442)\/1 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 11*m - 12. Calculate n(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d + 45*d - 4695008 = 0. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -19972, -2, -1\/5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-4)*11\/(429\/52)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -213*u + 2. Let q(y) be the third derivative of y**4\/8 - 2*y**2 - 1466*y. Calculate g(q(k)).\nAnswer: -639*k + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**9)**17 assuming j is positive.\nAnswer: j**153","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -395, -1385, -4069, -9293, -17903, -30745, -48665?\nAnswer: -72509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21900 rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 61, 394, 2 in descending order.\nAnswer: 394, 61, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 173 - 172.5. What is the closest to 1\/4 in -1\/6, 0.3, x?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -429762 not equal to -429773?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tvy when three letters picked without replacement from ytvtttjjjjjjtjtjtj.\nAnswer: 7\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.026 - -2.126. Let b = i + -1.9. Which is bigger: 0 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 101509, 101466, 101363, 101176, 100881, 100454?\nAnswer: 99871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((sqrt(99)*-3 + sqrt(99))*-2 - sqrt(99)) + sqrt(99) + sqrt(99))\/sqrt(9).\nAnswer: 2 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2640 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**1)\/k)\/(k\/k**(-9\/2)))\/(k*k*k*k\/k**(-9)*k*k**(2\/3)) assuming k is positive.\nAnswer: k**(-127\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 176923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-15889)\/60*34 - -6. Let m = -9001 - s. What is the common denominator of 2\/3*(-178)\/32 and m?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of u**5\/20 + u**3\/6 - u**2\/2 - u. Let m be l(0). Is 2 a factor of (4\/(-3))\/(m\/3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of -3*z**5\/20 + z**4\/4 - z**3\/2 + 2*z**2 - 8*z + 4. Let p(o) be the first derivative of n(o). Is p(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7231 less than 574.8?\nAnswer: 575.5231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qggk when four letters picked without replacement from {p: 1, f: 5, g: 2, q: 3, k: 1}.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of m**3*o**3 + 8454*m**3*o**2 - 437*m**2*o**3 + 17*m*o**3 - 3*m*o wrt o.\nAnswer: 6*m**3 - 2622*m**2 + 102*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -0*b. Suppose -4*m = -5*h - 16, -2*m + 6 = 3*h - 2. Suppose 3*o = -o - 4*l + 44, -5*o - 2*l + 67 = h. Solve -3*u + b*u - o = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/((-192)\/36))\/((-3)\/(-4))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 0.4, 147 in descending order.\nAnswer: 147, 0.4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -24? (a) 0.3 (b) -0.2 (c) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - -375.84\nAnswer: 375.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.0295 in -2\/11, -4\/9, 0, -68, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5044 - -9404. What are the prime factors of z?\nAnswer: 2, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.1, 1\/2, -5.67, 4\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 2*f + 13, 25 = 2*c + 2*f - 5*f. Is 11 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2 and -286662194280.5.\nAnswer: -286662194278.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1034?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 144\/(-20))\/(1*(-27)\/(1485\/44)).\nAnswer: 31\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 8*m. Let q(c) = -5*c + 4. Let l(j) = j - 1. Let b(k) = -4*l(k) - q(k). Give x(b(a)).\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000634532694 to six dps.\nAnswer: -0.000635","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 1817678.\nAnswer: -9088390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of 11*x**7\/210 + x**4\/3 - 483*x**3\/2 - 429*x**2 + 2*x. What is the derivative of q(k) wrt k?\nAnswer: 44*k**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w**4 + 6*w**3 - 84*w**2 + 136*w - 48 = 0. What is w?\nAnswer: -6, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 8*w. Let y be q(1). Let l(x) = -x**2 + 4*x - 1. Let p be l(3). Solve 4 - y = p*h + r, 3*r = -12 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -13 (b) 0.054 (c) 72\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -26, 47, 120?\n\"Answer: 73*s - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5069982 = -5*n + 3*s, 18*s = 4*n + 22*s - 4056024. What is n rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 902 + -414. Let x = -488.115 + v. Is -1\/3 not equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -558 - 2*r + 556 - 14*r - r**3 as i*r**2 + d*r + l + b*r**3 and give d.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4, -5\/2, -26?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 0 + 11 + -5 + -15\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 261 + -243. Let h be c\/(-162) + 272\/18. Solve -2*q - u - h = 0, 11 = q + 4*u + 36 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + (12 - -2)*4\/4. Which is smaller: 12 or q?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 27.563 and -655114.9288.\nAnswer: -655087.3658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7588700 divided by -5.\nAnswer: 1517740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + 9*l - 73. Let r be s(6). Suppose -r*h + 176166 = -37813. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r. Let s(k) be the first derivative of k**6\/180 + 2*k**3\/3 - 2. Let b(g) be the third derivative of s(g). Calculate b(p(c)).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -4*r**3 - 453688*r**2 + 35405916*r - 690534000 = 0.\nAnswer: -113500, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*m**2 + 255 - 7*m**2 + 254*m**3 - 170 wrt m?\nAnswer: 762*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23201955?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, o: 1, y: 4}. Give prob of picking 2 y.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54 and 163224.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*i**5 + 4*i**5 - 9*i**5 + 3*i**5.\nAnswer: -2*i**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 105 = 4*d. What is the remainder when d is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of n**5\/20 + 2*n**4\/3 - n**3\/6 - 4*n**2 + 37*n. Factor b(a).\nAnswer: (a - 1)*(a + 1)*(a + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15611?\nAnswer: 67, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18001*g**3 - 2*g - 2116 wrt g?\nAnswer: 108006*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1156317487 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -97*n - 41*n - 249*n + 33*n + 469 + 84 wrt n.\nAnswer: -354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3436, 14343, 32720, 58567, 91884, 132671, 180928?\nAnswer: 236655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 - -33. Solve 3*o - 6*o + s = c, -c - 15 = -5*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2290207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 313190 divided by -1?\nAnswer: -313190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4}. Give prob of picking 2 k.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 27, -1241.57, 0.5 in decreasing order.\nAnswer: 27, 0.5, -3, -1241.57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a day in hours?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(224) - (-2*sqrt(224)*-2 - sqrt(224)))\/(-3*sqrt(343)) + -1.\nAnswer: 8*sqrt(2)\/21 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p + 6*p = -14. Solve 6 + p = 2*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = s - 2*x, 4*s - 7*s + 3*x + 48 = 0. Is 7 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.054 - -0.058. Let m = -0.296 - k. Which is the nearest to m? (a) 3 (b) -2\/15 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 4*s**2 + 314*s - 7880. Determine r(24).\nAnswer: 1960","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2. Let n be 2\/(-3) + (-4508)\/(-138). Suppose -170 = -n*g + 22. Let m(y) = 2*y**3 + 2*y**2 - 1. What is g*l(b) + 2*m(b)?\nAnswer: 4*b**3 - 2*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16587 is divided by 33.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 + -13.4. Let o = -0.8 + y. Sort o, -2\/11, -4 in increasing order.\nAnswer: -4, o, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27944.14 years in millennia?\nAnswer: 27.94414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -7005191, -14010380, -21015569?\n\"Answer: -7005189*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 8. Suppose m*a - 4 = a - 2*f, -2*a + 4 = 5*f. Is 12 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 1\/14, 1\/12890?\nAnswer: 1\/12890","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -0.5 (c) -163\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 157185?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-4) - 14\/(-12). Let h be -3*1*45\/(-90). What is the second smallest value in -2\/7, h, -1\/5, l?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 + 44 = -2*d + 84. Solve d*j - 77*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4173, 4245, 4415, 4725, 5217, 5933?\n\"Answer: 7*q**3 + 7*q**2 + 2*q + 4157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.9, -3, 684, -0.035 in decreasing order.\nAnswer: 684, 0.9, -0.035, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -g - 5. Let q = -0.2 - -0.2. Let l = 97\/7 + -14. Sort g, l, q.\nAnswer: g, l, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1050\/60 + 15\/6. Suppose -x*y + 1416 = -26*y. Are -237 and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g - 1. Let m(u) = -43 + 74 - 38*u + 13*u - 43. Let x(t) = 2*m(t) - 18*n(t). What is the derivative of x(k) wrt k?\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 AM and 6:34 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 4 + -4 + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 4:15 AM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (x + 3*x - x)*(0 - x + 3 - 2) to the form y + g*x + n*x**2 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 43630896?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/(-2))\/(7\/14). What are the prime factors of ((-12)\/10)\/(d\/30)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + -9 + (-2)\/(-2). Let h = a - -4. Sort h, 0, -5.\nAnswer: -5, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -19 and -1?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8603 - 8441. What is the lowest common multiple of 972 and t?\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 4*b + 5. Let v be ((-8)\/12)\/((-2)\/3). Let w = 67 + -200\/3. Put b, v, w in descending order.\nAnswer: b, v, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2836 <= 48228\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(99) - (sqrt(99) - (-3 + sqrt(99) + -1))) + 4*(sqrt(99)*1 + sqrt(99)))**2 + -4 + 5)*-4.\nAnswer: -32144 + 864*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 457\/7 + -65. Let u = -0.02 + -0.18. Put t, u, 2 in ascending order.\nAnswer: u, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1301?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -43 + 40. Let j(r) = -1754744*r + 10. Let f be j(n). Suppose b + f = -3785758. What is b rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-12)*(-3120)\/1280*-4?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 4*m**4 + 30244*m**3 + 120912*m**2 = 0.\nAnswer: -7557, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 346\/4152 + (-10)\/160*124\/57?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 27 + 4*l**3 + 8*l**3 + 2*l**2 - 4*l**3 + 2 + l to the form x*l**3 + t*l**2 + g*l + h and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 19076 + k - 3*k - 19109. Calculate c(0).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -4*w + 136. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*n**2 - n**2 - 16*n**2 - 2*n**2 + 3*n**2 - 4*n**2 + (-n + 2 - 2)*(-2 + 2 + 2*n).\nAnswer: -38*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -6 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/5))**(-27)\/(n**(2\/9)\/(n*(n**(-2\/9)*n*n)\/n*n*n)))\/(n**(-1\/6)\/(n\/(n*n*n\/n**10)*n))**(-43) assuming n is positive.\nAnswer: n**(-36127\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 550 + -542. Let q = -69 - -125. Calculate the highest common divisor of q and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 115 and 920?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - -6 - 546\/114. Suppose -2*r - 13 - 3 = -5*j, 0 = 2*r + 5*j - 24. Is y less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24 by -475.\nAnswer: -24\/475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39527 is divided by 3640.\nAnswer: 3127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2435*c**3 + 5*c**2 + 9*c + 8. Let r be b(-2). What is r rounded to the nearest one thousand?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5018592 divided by -4?\nAnswer: -1254648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.5 + 0.9. Let f = -563 - -565. Let n be (-1 - -2)\/(2\/f). Put 0, 0.3, n, h in increasing order.\nAnswer: 0, 0.3, h, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -1\/4, -1\/8, -17\/3, 0, -23?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -7045*u**2 - 493135*u + 1050 = 0. Calculate u.\nAnswer: -70, 3\/1409","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 7*h - 9. Calculate f(7).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 + 81\/(-2 - -5). Let w = 72 - g. Let t = 82 - w. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38 - -38. Let m be (6\/(-24))\/((-18)\/(-8)). What is the second biggest value in o, -4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/5457852 and 91\/44?\nAnswer: 60036372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 8 + 200 = -5*k, k = 3*h - 262. What are the prime factors of h?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 3:01 PM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 5*q - 30. Calculate s(9).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 591 - 419. Suppose 3*z = 3*f + 285 + 267, -z + l = 5*f. What is the greatest common factor of z and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of 5*f**3\/6 - 11*f**2 - 11*f. Differentiate j(m) wrt m.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 61 + -61. Let t = 3\/100 + 173\/900. Factor q - 2\/9*u**2 + t*u.\nAnswer: -2*u*(u - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 92 = -236. Let h = -20 - c. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - c = 44, -2*m + 8 = -2*c - 34. Is m a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16738, -33324, -49910, -66496, -83082?\nAnswer: -99668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*((n*n*n*n\/n**(-2\/41))\/n)\/n))\/n**(-1\/2))\/(n**1\/n)**(3\/2) assuming n is positive.\nAnswer: n**(-127\/82)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 189694793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 40453.6263 + -41140.6262366. Let z = b + 687. Round z to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -223632*t. Let p(m) = 44*m. Give p(x(j)).\nAnswer: -9839808*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 + -69 + 91 - 19?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 37*c + 3. Let w be j(-14). Let s = w + 1016. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.38 - -0.08. Let g be (-5 + 5)*(-1)\/(-2). Let f be 1\/((-2)\/(-4)*-2). Which is the third biggest value? (a) i (b) g (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70103 is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 0 + 2 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1707203296?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 divided by 51?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2470017259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/10 + (-1311)\/(-1265). Let t = -38\/77 + p. Which is the closest to t? (a) 0.1 (b) 0.5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*n - 786 + 3811 = 150*n for n.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 12:30 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 7*f**2 - 6*f - 51. What is x(-7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -38*b**2. Let a(c) = -2*c - 3. Let d(w) = -1. Let k(v) = a(v) - 3*d(v). Calculate k(f(q)).\nAnswer: 76*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + 6*v - 4. What is w(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -111, -157, 309, 1731, 4553?\n\"Answer: 74*s**3 - 188*s**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9296 and 336?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-64)\/(-48))\/(100\/(-170)) and -43\/570.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 PM and 5:31 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 14) to base 9\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -416 divided by -104.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (60 + -4)\/(-4) + 2196\/78 - 14. Solve 4\/13*p**4 - 16\/13*p**2 + 14\/13*p - f*p**5 + 4\/13*p**3 - 4\/13 = 0 for p.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34361 (base 9) to base 7.\nAnswer: 123520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 50 + 40. Let j be (22\/66)\/(1 - (-16)\/o). Solve -2 = j*n - 5*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 - 2)*(3*q - 7*q + 2*q) + 47 + 111 - 169 - 231*q - 109*q.\nAnswer: -342*q - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 49 - 11. Let h = 39 - d. Let r be (38\/(-60) + h)\/((-6)\/18). Sort 1\/3, r, -3\/2.\nAnswer: -3\/2, r, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x - 44. Let n(s) = -2*s. Give -2*n(r) + p(r).\nAnswer: 3*r - 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 2666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6397789697 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 7274885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 7:50 PM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of 5*q**3\/3 + q**2\/2 + q + 2. Let f be u(2). Let l = f - 12. Does 11 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.6795873 centuries?\nAnswer: 6.795873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 99481363 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -194431\/24 - -8100. Calculate the common denominator of i and -95\/14.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*i**3 - 2*i**3 + 3*i**3)*(78*i + 5*i + 82*i)*(0 + 0 - 1) as q*i + r + j*i**4 + f*i**3 + p*i**2 and give j.\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) 225.99 (c) -2 (d) -8 (e) -5 (f) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 4*w**2 + w - 2. Let o be h(2). What is the highest common factor of o and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12413957 + -1.11989?\nAnswer: 12413955.88011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2612 - 1647. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -4*w. Let k = 17 - 11. Suppose 2*s + 5*y + 3 - 1 = 0, -5*y - k = s. Which is the fourth smallest value? (a) w (b) 5 (c) -1\/3 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = -9*g + 2*q + 34, 5*g = -4*q + 94. Calculate the least common multiple of g and 66.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 11*t**2 + 5*t - 99. What is the hundreds digit of k(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3*n**2 - 10 + 9*n - 99 + 25 + 29*n**2. Let x be d(7). What is x rounded to the nearest 100?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 23*l**2 + 10*l + 9. Let k be m(-3). Let n = -933\/5 + k. Do n and -19 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -5, -7, -3\/4, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 76*l**3 + 191*l**3 - 7255*l**4 - 649*l**3 - 364*l**3 - 3 + 7256*l**4 in the form i*l**2 + b*l + m*l**4 + x*l**3 + c and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/4 of a millennium?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -2713\nAnswer: 1\/2713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.14 - -0.86. Let m = -4.44 + -0.56. Let f = -253\/4 + 63. Sort f, m, u.\nAnswer: m, f, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(0 + sqrt(891)*-3)*-4)**2.\nAnswer: 4618944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q - 1. Let g(t) = t. Let a(n) = -2*n. Let h(v) = 4*a(v) + 9*g(v). Let u(k) = -h(k) + 2*l(k). What is u(-8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1043*p**2 + 15*p**3 - 13 - 1043*p**2.\nAnswer: 15*p**3 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 345.1985nm to millimeters.\nAnswer: 0.0003451985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*b - 32 = -117 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/l**(-12)))\/l*l*l\/((l*l**1\/l)\/l)*l)\/((l*l\/((l\/l**(-2\/47)*l)\/l)*l*l)\/l**(3\/19)) assuming l is positive.\nAnswer: l**(-11430\/893)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17108 - -17108. Solve r = -3*d + 9*w - 11*w + 9, d = -5*w + 16 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 10:29 PM?\nAnswer: 9:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 206 in 366\/11, 4\/5, -5, 5, -3, 1?\nAnswer: 366\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 285021?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(405)*-4 - sqrt(405)) + sqrt(3645) + sqrt(3645)*-2)\/(-2*sqrt(900)*-2*2))**2.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 200577303 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + g + 342. List the prime factors of g.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-1))\/((f\/((f*f**(-2\/19)\/f)\/f))\/f))**8*((f\/f**7)\/((f\/(f**(-4\/5)\/f*f))\/f))**27 assuming f is positive.\nAnswer: f**(-18282\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1237 - -21724.86?\nAnswer: 20487.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -47649743, -47649713, -47649683, -47649653, -47649623, -47649593?\n\"Answer: 30*y - 47649773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -0.135, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 170 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of w**2 + 22*w + 165947. Let x(t) = -5*t + 8. Let i(f) = 2*f - 3. Let q(m) = 8*i(m) + 3*x(m). Determine z(q(l)).\nAnswer: 2*l + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -649 (base 10) to base 7\nAnswer: -1615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10001001101 (base 2) in base 13?\nAnswer: 669","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 238, 237, 236, 235, 234?\n\"Answer: -x + 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40483.71 grams to micrograms.\nAnswer: 40483710000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 475 + -227. Let h = -5106644637.9999869 + 5106644886. Let a = i - h. What is a rounded to 6 dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 450 and 22005?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100000100000110 (base 2) to base 4.\nAnswer: 10010012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 113*y**2 - 1650*y + 1511. Give s(126).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*w**3 - 28*w**2 + 6078*w?\nAnswer: -48*w - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/(-38)*4\/6*6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 0 + 0 - 2*q**2)*(-4*q**3 + q**3 + q**3).\nAnswer: 4*q**5 + 4*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69204469 is divided by 105.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 6 = 3*t. Suppose 3*d - t*j = 19, 10*d - 4 = 7*d - j. Solve -4*h - 5*f = 4, d*h + 3 = 3*f - f for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -286*y = -1489383 + 272167. Calculate the highest common factor of 38 and y.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2097.145 litres in millilitres?\nAnswer: 2097145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*f**6 + 129*f**5 + 2*f**4 - 47942*f**2 wrt f.\nAnswer: -1080*f**3 + 7740*f**2 + 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + o = 2*o - 49, -3*o = -2*d + 21. Suppose -73 = 4*b - 93. What is the remainder when d is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42727 + 25213 = -33*h + 117357. Round h to the nearest one hundred.\nAnswer: 4100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*h - 59 - 186 = 105 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15494489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*n - 2*q, -4*n - 5*q = -0*n - 6. Let b = -91 + 89. Let o be 1\/2 - b - 42\/(-28). Solve -2*c = -2*r - o*c + 8, -4 = n*r - c for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 28 - (-15 + -32 + 91)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 3*q + 10, -u + 1 - 5 = q. Let s = 2 + -1.5. Let k = 1.02 + -0.02. What is the nearest to u in 4, k, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 239*r**2. Let q(m) = 11*m**2. Determine q(c(d)).\nAnswer: 628331*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 251353607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1848 and 644.\nAnswer: 42504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 143699863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 6057 - 6072 = -l, 0 = -45*j + 225 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-2650 - -2656)\/((-20)\/3)\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k. Let q be f(2). Suppose 200*v - 196*v - 16 = 0. Calculate the greatest common divisor of v and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*n + 11. What is the units digit of (20 - 8)\/(n\/16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 0, -27, -72, -135, -216, -315, -432?\n\"Answer: -9*c**2 + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(0 + sqrt(68)) + (sqrt(68) + 1*sqrt(68) + 0 - sqrt(68)).\nAnswer: 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*1*((2*(sqrt(308)\/sqrt(7) - sqrt(44)) + sqrt(44))\/(sqrt(144)*5))**2.\nAnswer: -11\/300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 0) + (13 - 22).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 4 - 2)*(0 + 0 + 2)*((5*w - 2*w - w)*(3 - 3 - 2*w**2) + w**3 - 2*w**3 + 4*w**3) to o + j*w**2 + r*w**3 + p*w and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54923815 is divided by 101.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1465*v**4 + 7102*v**5 - 776*v**4 + 10831*v - 689*v**4 + 1526*v wrt v.\nAnswer: 142040*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = -y - 0 - 14, 12 = -s + 4*y for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1841082175 and -16.38.\nAnswer: -1841082191.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - 6*k - 2. Let y be r(5). Let s = y - -10. Solve 2*n + p - s = 0, -2*n = -0*n - 5*p + 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 - 3.9. Let w be (1\/3)\/((16335\/(-242))\/135). Which is the nearest to w? (a) -0.2 (b) 1\/21 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*d**5 + 400*d**2 + 971*d + 12 wrt d.\nAnswer: 240*d**3 + 800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of 9\/20*u**4 - 3\/25*u**5 + 0*u - 3\/5*u**3 + 3\/10*u**2 - 9. Solve b(d) = 0 for d.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5066722 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - 5*i**2 + 7*i + 9. Let t be u(-6). Suppose -o + 3 = d, 0 = d - t*o + 4 + 5. Suppose r + 4*r = d. Round r to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*t**5 + 54*t**4 + 24*t**3 - 42*t**2 - 45*t - 12 = 0 for t.\nAnswer: -1, -4\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.042554 times 2\nAnswer: 0.085108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -744*b. Let s(y) = -3*y. Give h(s(x)).\nAnswer: 2232*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89211776 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 5\/4, 17, 2950, -3\/4, 1\/6?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -42*n - 53. Let u(k) = 118*k + 160. Let a(m) = -17*o(m) - 6*u(m). Calculate a(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -47.37 + 0.37. Let d = -47.3 - w. What is the second biggest value in 0.2, d, -0.1, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2)*(2*j**4 + 3*j**4 - 7*j**4) + (-18 + 18 - 17*j**2)*(0 - 2 - 1)*(-2*j**2 + 2*j**2 + j**2).\nAnswer: 47*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - 2 - (2 + -4). Let h be (-2 - 10\/(-6))\/p. Let u be 30 + (-12 - 1353\/77). Sort u, 2\/11, 0.4, h in increasing order.\nAnswer: h, 2\/11, 0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2903341 and 3318104.\nAnswer: 23226728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1734*u + 1779*u = 90 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 434 + -244. Calculate the highest common divisor of r and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 402, 499, 754, 1245, 2050, 3247, 4914, 7129?\n\"Answer: 13*c**3 + c**2 + 3*c + 385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83502989.\nAnswer: 83502989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -3*t - 12*t. Let j be (-390)\/(-75)*(1 + t). Let n be (-2)\/(-6) - (-646)\/51. What is the highest common factor of n and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of 1\/4*y**4 + 0*y**3 + 1\/6*y**6 + 0 + 0*y**2 - 5*y + 0*y**5. Find the third derivative of k(h) wrt h.\nAnswer: 120*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-61 + 61 - 18*s)*(-2*s + 4*s - s) + 0*s**2 + 2*s**2 + 0*s**2.\nAnswer: -16*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*1*sqrt(768))\/(-6*-1*sqrt(6) + sqrt(6) + 2*sqrt(150) + sqrt(150) + sqrt(150)).\nAnswer: -32*sqrt(2)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-4))**(-2\/109) assuming a is positive.\nAnswer: a**(6\/109)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (2 - 0)) + 19 + -12\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - 2. Let w be l\/(-3*(-6)\/(-27)). Let x = w - -5. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjv when three letters picked without replacement from {v: 1, j: 2, l: 1, n: 2, i: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -20*k**2 + 3*k + 23. Let i be q(7). Let v = i + 1423. What are the prime factors of v?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 211297595 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d\/d**(-3))\/d*d*d**(2\/37)*d)**(-2\/79) assuming d is positive.\nAnswer: d**(-522\/2923)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 1.6, -3\/5.\nAnswer: -3\/5, 2\/9, 1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(3\/4)*u**(1\/5))\/(u**(-2)*u\/u**(-2\/5)*u)*(u**6\/(((u**(-8)*u)\/u)\/u*u))**45 assuming u is positive.\nAnswer: u**(12601\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i\/i**(1\/5))*i**(-7\/6) assuming i is positive.\nAnswer: i**(-29\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 99*f - 903 - 218 + 230. Solve -29 = f*q - 20 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 10*m**3. Let x be c(1). Let y = 37 - -32. Let z be (-1)\/(2 - 3) + y. What is the greatest common divisor of x and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -66.7112 to the nearest integer.\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2781?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of -5*a**4\/12 + 2*a**2 - 389*a. Let h(p) = -170*p. What is r(h(j))?\nAnswer: 1700*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, b: 4, m: 2, z: 1, s: 2}. Give prob of sequence mm.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 92434 and 4069959?\nAnswer: 919810734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -351\/56 - -29\/7. What is the common denominator of -69\/44 and x?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 954, 0, 54972.\nAnswer: 0, 1, 954, 54972","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 12:54 PM?\nAnswer: 3:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 31381 = 31380?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/24*(-126)\/(-2709).\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -4, -4\/37, -2\/5, -14.7 in ascending order.\nAnswer: -14.7, -4, -2\/5, -4\/37, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 AM and 7:53 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.043 - 4.043. What is the biggest value in 4, 0, -58, q?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13912, -14235, -14558, -14881, -15204?\nAnswer: -15527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -37*p + 24*p - 117 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10385 is divided by 41?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of 3*p**4\/4 + p**3\/3 - 15*p**2 - p - 77. Find the second derivative of k(t) wrt t.\nAnswer: 18*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b7d4 (base 14) to base 13.\nAnswer: 115a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/(-14)*1372\/441*(-252)\/(-224)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 500 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 + 13*b + 33. Let j be d(14). What is the highest common factor of j and 171?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1548\/7 + 6998\/35. Let k(v) = -3*v + 7. Let o be k(-5). Let q = o + r. Is -4 bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**7*s**(-4\/7))\/(s\/s**(2\/7))**(36\/5))\/((s\/s**(-1\/4))\/s**(-3\/2)*s\/((s\/s**(-2))\/s)*s**5) assuming s is positive.\nAnswer: s**(-517\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*k - 2*t + 6, 5*t = 20. Suppose -q = -k - 2. Suppose 7 - 3 = q*m. Solve -2*a - m = -f - 7, 5*a - 15 = 2*f for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a + 1. Let x be p(1). Let u be (-1)\/(-2 - (x - 0)). Find m such that -8*m - u + 9 - m**2 + 3*m**2 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ftzk when four letters picked without replacement from {v: 3, t: 2, f: 4, k: 1, z: 2, q: 3}.\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1150 - -1149.99009. What is c rounded to 3 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 641 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-36)\/126 - (-310)\/7. Suppose -o + 5*o - s = 0. Is o a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of 23*d**4\/2 - 23*d**3\/2 - 159*d + 183. Let l(u) be the first derivative of n(u). What is the second derivative of l(a) wrt a?\nAnswer: 276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 223*u**4 - 13274*u**3 - 585*u**2 - 4*u + 7076 wrt u.\nAnswer: 5352*u - 79644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmfmmmfffffmffmfmfmf. Give prob of picking 2 m and 1 f.\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 e, 1 q, and 1 o when four letters picked without replacement from qeqeqeeeoayyqeqeq.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1003 and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23361 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39)\/(-3) + (1 + 1)\/((-3480)\/38860).\nAnswer: -28\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1413870 <= 1413869?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -9332.9136 to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 395, 1888, 4501, 8234, 13087, 19060, 26153?\n\"Answer: 560*p**2 - 187*p + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 4*q**3 - q**2. Let s be i(1). Suppose -5*n = -s*n - 8. Let g(u) = -9*u**3 + u**2. What is the remainder when g(-1) is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95930 rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*q + 23 = -8 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (108\/15)\/(5022\/(-1116)).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of k**4 + 8*k**3\/3 - 6*k**2 - 22. Determine v so that y(v) = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 + 7*t + 5. Let u be x(7). Suppose -g - u = 0, -2 = -4*d + 3*g + 13. Sort 5, d, -2.\nAnswer: -2, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2)*(-q - 3*q + 2*q)*(q - 2*q + 4*q)*(4*q**3 + 2*q**3 - 4*q**3).\nAnswer: -24*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1 (b) -1.8 (c) 6 (d) 2246\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**2 - w**2 - w**2 + 2*w**2 - 75*w.\nAnswer: 2*w**2 - 75*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*j**2*m**2 + 248*j**2*m*s**2 + 37*j**2*r*s**3 - 2*j**2*s**3 + 43*m**2*r*s**3 - m**2*s wrt r?\nAnswer: 37*j**2*s**3 + 43*m**2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 12:32 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4001912 to the power of 1\/3, to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*t**2 - 24*t**2 + 32*t**2.\nAnswer: 37*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.77582ml in litres?\nAnswer: 0.00677582","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9109466 is divided by 71728?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*k**2 + 15*k**2 + 4*k**2 as c*k**2 + r*k + v and give c.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 99 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 638*b**3 + 87. Let x(n) = 29*n**3 + 4. Calculate -4*j(u) + 87*x(u).\nAnswer: -29*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3 = -9, 0 = -3*n - 5*o - 12. Let q be 84\/(-8)*(n - 3). Suppose 7*v = 10*v - q. List the prime factors of v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x - 3*x**3 - 6 + 255*x**2 - 6 - 253*x**2 + 4*x**4 - 18 as l*x**2 + t*x**3 + s*x**4 + y + g*x and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1)*(0*j**2 - 4*j**2 + j**4 + j**2) + 58*j**3 - 58*j**3 - 24*j**4.\nAnswer: -25*j**4 + 3*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 33 = -2*u, 0 = -4*b - 8 - 12. Let q be -2*1\/(u\/(-50)). Let y be 6\/(-12)*1*-50. Do y and q have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 397 - 282. Solve 4*b + 19 + u*b**2 - 28*b**3 + 76*b - 4 + 78*b**3 = 0.\nAnswer: -1, -3\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 54 - 27. Suppose a + 40 = 6*a. Calculate the smallest common multiple of a and (-8)\/6*u\/(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 4\/49701227?\nAnswer: 4\/49701227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 403702999 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 13 - 7 = 0. Let q be 3\/1*(-1 - f). Let p = q + 15. List the prime factors of p.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i + 2. Let v be c(0). Suppose v*m = 15 + 373. Suppose -23*r = -25*r + m. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**4 + 25629960*t**3 - 76889850*t**2 + 76889840*t - 25629945.\nAnswer: -5*(t - 5125989)*(t - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) + 3*(1*sqrt(95) - sqrt(95)))\/((sqrt(105)\/sqrt(3))\/sqrt(7)) + -3)**2.\nAnswer: -6*sqrt(19) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49, -4, -2479, 10, 30, 3.\nAnswer: -2479, -4, 3, 10, 30, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15876 and 22248.\nAnswer: 3270456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14*a - 12*a - 26*a + 32 wrt a.\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 5*x**2 + 6*x**2 - x**2 - 12*x**2. Let b(p) = p**2. Calculate b(u(h)).\nAnswer: 4*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -7 + 19*i + 6 - 23*i + 11. Let n be k(-2). Let f be (3 - (6 - 3)) + 2. Put n, f, -1, 5 in ascending order.\nAnswer: -1, f, 5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 PM and 2:42 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 32*x**2 + 401*x + 24414 wrt x?\nAnswer: 64*x + 401","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*x**4 - 7 - 2 + 9 + 2*x**2 wrt x?\nAnswer: -96*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - p**2 - 12*p - 7. Let g be q(7). Let f = 205 - g. Solve 5*h = -2*i - 8, -h = f*h for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 times -76?\nAnswer: 53.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -318695 and 2.\nAnswer: -637390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2461964*w**2 + 5590230*w wrt w.\nAnswer: 4923928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 117, 346, 579, 816, 1057, 1302?\nAnswer: 1551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 828 and 36.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2595 is divided by 1238.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/104 + ((-28)\/13 - -2)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of -d**3\/2 - d. Let b(f) = f + 1. Let i(h) = -3*h**2 + 3*h + 3. Let s(j) = 3*b(j) - i(j). Calculate s(l(c)).\nAnswer: 27*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + 4*p**2 + p - 2. Suppose -6 = -2*y, -2*c - 3*y + 139 = 3*c. Suppose -l = c - 32. Suppose -l*h = h - 28. What is t(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 250 = i + 2*p, -14*i + 4*p = -10*i - 1036. Suppose -251*o - 4040 = -i*o. List the prime factors of o.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (4 - 4) - 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 - -2 - 3) + 1 + -2. Let n = 7 - 6. Suppose 4 = -d + 4*i - 1, 4*i - n = -3*d. Put l, d, 1 in ascending order.\nAnswer: l, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -3*w**3 + 1. Let v be m(1). Let k(l) = -56*l + 1. Is k(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 6*i - 30. Let d = i - -1. Let r be 0 + -2 - 1*d. Solve z - 16 = r*h, -5*z + 29 = -3*h - 3 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 35.241165 and 5?\nAnswer: 176.205825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 31953521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26 - 622)\/27 - -1?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -5*l**3 + l**2 - 2. Let d(t) be the second derivative of 0 - 1\/12*t**4 - 75*t + 3\/10*t**5 - 1\/6*t**3 + 3\/2*t**2. Determine -2*d(s) - 3*g(s).\nAnswer: 3*s**3 - s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.075 - 99.875. Let r = 100 + o. What is the fourth biggest value in -3, r, -5, -1\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6837*w**2 + 16*w**3 + 15*w**3 + 56*w**3 + 6837*w**2.\nAnswer: 87*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v + 3*v**2 + v**4 + v**4 + v - 2*v to the form t*v**4 + k + z*v**3 + c*v**2 + n*v and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0615067 and -0.4.\nAnswer: 0.02460268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8352093 is divided by 2589?\nAnswer: 2568","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.21 + -3440737658.2.\nAnswer: -3440737657.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 129? (a) -5 (b) -0.5 (c) -10 (d) -3\/4 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 303 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 38\/5 of a gram in milligrams?\nAnswer: 7600","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is 74.45 rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12992?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 6) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 + 0.4. Suppose -d = 5*s + 20 + 45, 0 = 4*s - d + 43. Let p be -2 + ((-112)\/s)\/4. Is v at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 17*w**3 - 44*w**2 + 38*w - 31. Let g(c) = 24*c**3 - 66*c**2 + 57*c - 46. Let j(t) = -5*g(t) + 7*l(t). List the prime factors of j(21).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 5*k**2 + 2*k + 1. Let u be h(-1). Let f(s) = -3*s + u*s + 10 - 10. Let c(z) be the first derivative of z**3 + 1. Give c(f(t)).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -17, -0.3, -5 in descending order.\nAnswer: 2\/5, -0.3, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ninety-one quarters of a kilogram in grams?\nAnswer: 22750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*p**2 + 41408*p - 5026560 = 0. Calculate p.\nAnswer: -10472, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 108 = 11*a. Is 5 a factor of (-4 - (-39)\/a) + 357\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96473?\nAnswer: 13, 41, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 30849*k + 2838103. Calculate a(-92).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 57*p**2 + 12*p + 10. Is n(-3) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 0*t + 8*t**2 - 2*t + 3*t. Suppose 2*k + 3*n - 5*n - 10 = 0, -2*n = -k + 9. What is the units digit of z(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5257161 by -91.\nAnswer: -57771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 92260 or 92265?\nAnswer: 92265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65744.59 millilitres to litres.\nAnswer: 65.74459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 342 = -7*j. Let k = j - -53. Suppose 3 + k = m. Is 2 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 598\/(-39)*3\/(-2). Let v = w + -8. Solve 2*i + v = -3*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 49\/453?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzmzzkzmcmzczszzmzz. What is prob of picking 1 s, 1 z, 1 c, and 1 k?\nAnswer: 11\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 758 is divided by 71?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 + 71. Calculate the remainder when d is divided by 23.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -3843, 0.2 in decreasing order.\nAnswer: 0.2, -1\/2, -3843","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 4) to base 12\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5038214 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 368204.\nAnswer: 2, 92051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -105489*i. Let d(f) = 5*f**2 - 2*f. What is c(d(g))?\nAnswer: -527445*g**2 + 210978*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 306? (a) 0.055 (b) 3\/4 (c) 4 (d) -2\/11 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (1 + 2 + -1)) + 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + h - 30 - 41 = 38 - 92, -12*o - h + 52 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 6, -1.5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -619, -1249, -1879, -2509, -3139, -3769?\nAnswer: -4399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9470 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - 5)\/(2\/(-46)). Suppose 0*r - 15*r - 600 = 0. Let y = r + l. What are the prime factors of y?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45854 and 7264?\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -1\/3, 36, -12.87, 2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 - -43. Calculate the lowest common multiple of y and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in eighteen fifths of a microgram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12078 and 4987356.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 4*r + 32 = 2*d, -5*d = 3*r - 34. Suppose d*y + 18 = 3. Let s(v) = -v + 1. Calculate s(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*o + 155 = 64 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5559 divided by 18.\nAnswer: 1853\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i - 2. Let v be p(-3). Let k be (4\/10)\/(v - (-61)\/(-15)). Let d(x) = -7*x**2 + 6*x + 9. Let h(f) = -8*f**2 + 7*f + 10. Give k*h(t) + 7*d(t).\nAnswer: -t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.69573 and -3.\nAnswer: 2.08719","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -19\/2, -7.6, 0.4, 1\/6698 in increasing order.\nAnswer: -19\/2, -7.6, 1\/6698, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) 1\/4 (c) 0 (d) 65 (e) -12.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 69 - 28. Suppose u = -1 + y. Solve -d + 2*d = -v + 10, 5*v = -3*d + u for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-69)\/(-1104)*(-24)\/(-39)*2*2\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 15*f + 20*f - 7822, -15668 = 4*y + 2*f. Let j = y - 684. What is j rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 355017.\nAnswer: 3, 13, 9103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v. Let k(g) be the third derivative of -31*g**4\/6 - g**3\/6 + 7*g**2 + 2*g. Give k(i(j)).\nAnswer: 124*j - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 9*b - 84. Let p(i) be the first derivative of 1\/6*i**4 + 4 - 1\/5*i**5 + 2\/9*i**3 - 1\/2*i**2 + 1\/18*i**b + 1\/3*i. Let p(n) = 0. What is n?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07160490858 + -13.\nAnswer: -12.92839509142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.268*178.\nAnswer: 47.704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 820\/(-45) + 18 - (-34)\/(-9). Put -1, -3, 73, -5, f in decreasing order.\nAnswer: 73, -1, -3, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 15*c. Let d(k) = 89*k + 153. Give d(s) - 6*u(s).\nAnswer: -s + 153","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33556.\nAnswer: 2, 8389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 120847.24 times 1\nAnswer: 120847.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7.3 (b) 0 (c) 2\/340761\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 794891?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 11*y + 216. Solve 15 = 27*r - y*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.2792 and -8?\nAnswer: 8.2792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -2*y**3\/3 - 65394*y**2 - 784672*y\/3 + 784696 = 0.\nAnswer: -98087, -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -4086?\nAnswer: -2043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 7 = 9. Let j = 13 + o. Suppose 4*g = 2*u + 96, -j*g - u = 4*u - 135. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2856 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -11 (b) -0.0292 (c) 2 (d) -4 (e) -1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*z + 48*z + 56 = 0. What is the remainder when 84 is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3859\/2 (b) -0.04 (c) 790\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*h = 22*h + 2. Which is the closest to -6? (a) -0.4 (b) -0.3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 4*a - 10 = -0*h, 2*a = 0. Suppose 3*o - o - h = 0. Suppose -12 = -o*q + q. Solve -2*w - 12 = w + m, 0 = -q*w - 3*m - 6 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -211, -240, -269, -298, -327, -356?\n\"Answer: -29*m - 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 - (-16 - (0 - 3)) - (-1 + 6).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 178918 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 68 + -65. Suppose -8 = -m - b*m. Suppose 3*s + m*c - 22 = 2*s, c = s - 7. Does s = 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -9 (b) 34 (c) -2 (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v - 5. Let r(d) = -1. Let h(q) = l(q) + 4*r(q). Calculate h(9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 322193 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -94152988?\nAnswer: -94152988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -165\/8 + 813\/40. Let u = -48 - -146\/3. Put b, 0, u in ascending order.\nAnswer: b, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15052074.\nAnswer: 2, 3, 23, 109073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 434 - 432. Put -3, q, 1 in increasing order.\nAnswer: -3, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.816 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 81859*q - 81855*q - 2*u - 66, -15*q + 245 = -5*u for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 836496 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 - 29*j - 45. Determine i(-29).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 331*c**3 + 5*c**2 - 5968*c - 25. Let w(t) = 333*t**3 + 4*t**2 - 5967*t - 20. Let o(y) = 4*a(y) - 5*w(y). Find the second derivative of o(d) wrt d.\nAnswer: -2046*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166177 is divided by 55248?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 4\/1425, 9, 1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a century in months?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -163\/264 and 58\/12705.\nAnswer: 101640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 991236 is divided by 1127.\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) + sqrt(190)\/sqrt(10) - sqrt(19))*1)**2 + sqrt(171)*-6.\nAnswer: -18*sqrt(19) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1417, -2658, -3563, -3964, -3693, -2582, -463, 2832?\nAnswer: 7471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -6. Let r(t) = t**3 - 3*t**2 - 4. Let g be r(3). Let w(i) = -1. Let s(x) = g*w(x) + f(x). Let h(d) = d - 3. Calculate -2*h(a) + 3*s(a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yvl when three letters picked without replacement from avsoyol?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwswshswwwswswsss. Give prob of picking 2 s and 1 w.\nAnswer: 28\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 + -162. Let t be i\/(-60) - (-2)\/(-5). Let c be ((-118)\/5 + t)*-5. Calculate the greatest common factor of 12 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 4*d = 2*m + 26, -9 = 4*d + 5*m. What is the lowest common multiple of d and 544?\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 40\/12257?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6 - 2) + (1 + -1 - 4). Suppose 37*m - 38*m + 220 = h. What is the highest common divisor of m and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3210029 to the nearest integer?\nAnswer: 1792","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -140461 + 1?\nAnswer: -140460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1122 and 873\/(-2037) - (-582)\/(-4)*(-54)\/7?\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -5. Suppose 8 = t*u + 2. Calculate the greatest common factor of 22 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -63 - -109. Suppose -m = -2*g - 0*g. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -220*f - 491.\nAnswer: -220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*r - 3*r + 8 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 3. Let s(g) = 4*g**3 + 2*g**2 + 2*g + 1. Suppose -5*q = -4*b + 2, -2*b - 18 = 5*q + 2*b. Let k(o) = -o**3 - o**2 - o. What is q*k(j) + w*s(j)?\nAnswer: -2*j**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/7 + 320*f**2\/7 - 214*f\/7 - 1236492\/7.\nAnswer: 2*(f - 54)*(f + 107)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/22 and 41\/596?\nAnswer: 6556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.3 - 1438.\nAnswer: -1436.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1932, 1431, 930?\nAnswer: 429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4473 = 1365. Let q = v + 7382. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 20 = -3*z - 4*d, 25 = z + 4*d. Let q = -3 - -6. What is the remainder when (z - 1)\/(1\/2) is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 365?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4\/3 + 8*p**3\/3 - 22*p**2\/3 + 8*p - 3.\nAnswer: -(p - 3)**2*(p - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007545358372 rounded to six decimal places?\nAnswer: -0.007545","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1053) - (-5 + sqrt(1053))*4) + 1)*6.\nAnswer: -162*sqrt(13) + 126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/621504 and 11\/4?\nAnswer: 621504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3 - 0.7. Let p = 127\/816 - -3\/272. Sort g, 3\/2, 0, p in decreasing order.\nAnswer: 3\/2, p, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3167.24 + -0.01.\nAnswer: 3167.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = q - 2. Let k = -19 - q. Let x = k + 37. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 44 = -l - 3*l, 5*o - 48 = -4*l. Suppose -4*j + 385 = j. Calculate the greatest common divisor of j and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of -8*l**7\/7 + l**3\/6 - 35*l**2\/2 - 58*l. What is the second derivative of o(q) wrt q?\nAnswer: -960*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -10779, -43083, -96929, -172323, -269271, -387779, -527853, -689499?\n\"Answer: -k**3 - 10765*k**2 - 2*k - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 307170.\nAnswer: 2, 3, 5, 3413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152 = 5*t - t. Let j = t + -21. What are the prime factors of j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = 4*d + 500. Suppose 5*j + 35 = d. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11110111 (base 2) to base 15.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7776, 7773, 7768, 7761, 7752?\nAnswer: 7741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = 1992*j - 1991*j + 7, -2*j + 36 = -4*c for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 divided by 1?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 0*w - w + 3)*(6*w - 4*w + w + w - 4*w + 0*w + (-2 + 3 + 0)*(-2*w - 4*w + 4*w)) - 6*w**2 + w**2 + w**2 as d + u*w + n*w**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r**2 - 5 + 3*r**4 + 1 + 4 - 2*r + r**3 in the form v*r**2 + c*r + x + z*r**4 + q*r**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2905 - 5805 + 2902 + 4*u + 13*u**2 to the form c*u + f + w*u**2 and give w.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.219854t to nanograms.\nAnswer: 2219854000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -368000 to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j**2 - 113*j. Let q(f) = f. Calculate n(q(w)).\nAnswer: 3*w**2 - 113*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (48\/10)\/((-1)\/((-5165)\/2))?\nAnswer: 2, 3, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -4 + 5 + 2*k**2 - 3*k**2 + k. Let r be s(0). Let x(b) = -2*b**2 + b. Calculate x(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -3*v + 616, 3*v - 618 = 213*k - 210*k. Calculate the smallest common multiple of 272 and v.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 742 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-9))\/((-259)\/1036).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/(-36) + (-10)\/216. Let f = w - -2\/27. Solve -f*l**3 + 0 - 1\/4*l**2 + 0*l = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/4 (b) -0.2 (c) -2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 166 - 146?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.017 and -4.\nAnswer: 8.068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w**2. Let k(a) be the first derivative of -a**3 - 9*a + 823. Give p(k(v)).\nAnswer: -18*v**4 - 108*v**2 - 162","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 10*n**3 + 294*n**2 - 4466*n + 23. Determine j(11).\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40890283?\nAnswer: 7, 5841469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*l + 4*l + 2*l = 1149 + 751 for l.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*w = -52*w - 30. Let g(y) = 2*y**2 - 12*y. Let m be g(w). What is the nearest to 20\/9 in 1, -0.1, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + n + 4*n - 35 = 0, -n - 7 = 9*j - 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34883807 is divided by 494?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1311003 - -20230?\nAnswer: 1331233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.03646 centuries in years?\nAnswer: 8103.646","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5a61727 (base 11) to base 7\nAnswer: -155513262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (73\/52122*-34)\/((-1)\/(-60)).\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-16)\/10 + 2)*-5. Let q(g) = -g + 14. Let y be q(9). Suppose -30*m + 39 = 6*u - 35*m, -2*u - 2*m = -2. Sort y, -1, u, b in increasing order.\nAnswer: b, -1, u, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 1 + o**2 + 83*o - 83*o. Let b(d) = -3*d**2 + d - 2. Give -2*a(v) - b(v).\nAnswer: v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/970 and 34\/485?\nAnswer: 970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 306 a factor of 88740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of j**7\/140 + j**5\/60 - 3*j**3 - 5. Let g(m) be the third derivative of b(m). Find the second derivative of g(c) wrt c.\nAnswer: 36*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 954185186?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720) - (sqrt(720) - 2*sqrt(720)) - sqrt(720))*-1)**2.\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 37031341265 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2776 + 2774. Which is the nearest to l? (a) 0.01 (b) 1\/2 (c) 0 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1098.815 - -1099.0960006. Let b = 0.281 - y. Round b to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wdqdmmdrrrmmdmr. What is prob of picking 1 w, 1 d, and 1 m?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 518 - 248. Suppose -2*b = 2*n - 62, 0*b - 2*n = b - 32. What is the greatest common factor of s and b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l - 7*l + 4320 + 17*l - 6*l.\nAnswer: 4*l + 4320","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -176 + 15\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4218 + -3926. Let u be 434 + 1*-1*-1. Let i = u - k. Is i a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6c + -50?\nAnswer: 1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 12*z + 2. Let k(w) = -29*w - 24 - 11 - 116*w + 10. Let v(c) = -2*k(c) - 25*r(c). Let i(p) = -p**2. Determine v(i(g)).\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*m**3*u - 34*m**3 + 146*m**2*u - 9122*m**2 - 3*m*u + 3*u - 4 wrt u?\nAnswer: -3*m**3 + 146*m**2 - 3*m + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(605) + (2 + sqrt(605))*6 - (-3 + (sqrt(605) - 3*sqrt(605))**2).\nAnswer: -2405 + 77*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 2*g**5\/13 + 69300*g**4\/13 - 69304*g**3\/13 - 69300*g**2\/13 + 69302*g\/13 = 0.\nAnswer: -34651, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: -1905b77 (base 13) to base 7\nAnswer: -126353305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2045, -7878, -17601, -31214, -48717?\n\"Answer: -1945*i**2 + 2*i - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5857 to the power of 1\/2, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of 0*i + 1\/10*i**6 - 1\/70*i**7 + 1\/10*i**5 - 3\/2*i**4 + 0 + 63*i**2 - 9\/2*i**3. Solve s(h) = 0 for h.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33218 is divided by 52.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 87032 and 9890.\nAnswer: 435160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10068584 divided by -10068584.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 - 5*l - 5. Suppose -177 = s + 2*s. Let d = 3806 - 3751. Let o = s + d. Calculate p(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1194967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of v**5\/30 - 13*v**4\/24 - v**3\/2 + 11*v**2. What is the smallest common multiple of 16 and x(7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 8.4, 0, -0.09, -2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 26*w + 2218. Calculate n(-96).\nAnswer: -278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - 12\/(-2) - 1300\/208. Let a be (-1)\/(-19)*(-4)\/(-8). Do b and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15780822 by 86234.\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -172 - -130. What is the units digit of -50*(-8)\/6*y\/(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - 5*t. Let s = 4 + -7. Let z(x) = 9 - x**2 + 2*x + 4*x - 8. Let n(k) = s*f(k) - 2*z(k). Let n(l) = 0. Calculate l.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3*m**2 - 4 - 5*m**3 + 7*m - 8*m**2 + 4*m**3 + 0*m**3 + 0*m**2. Let z be 18\/45 + (-64)\/10. Determine a(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q**2 + 10*q + 14. Let p be i(-4). Which is smaller: p or 68\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31130.03357 rounded to the nearest ten?\nAnswer: 31130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -11729.8607 to the nearest 1000.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4294143494 to the nearest integer?\nAnswer: 1625","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6307204823?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 250 divide 174250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -10*b + 2. Calculate k(8).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + 2*d - 3*d)*(0*d - 3*d + 6*d) - 3*d**2 + 4*d**2 + 2*d**2 + (-d - 5*d + 3*d)*(-5*d + 3*d - d).\nAnswer: 15*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 632383567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3493 or -201?\nAnswer: -201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2)\/(c*(c\/(c*(c\/(c**(-1\/7)*c*c))\/c))\/c))**21 assuming c is positive.\nAnswer: c**(-81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 502771796 to the nearest integer?\nAnswer: 795","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6653.797403 rounded to the nearest integer?\nAnswer: 6654","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5042*j**2 + 2532*j**2 + 2527*j**2.\nAnswer: 17*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2607\/(-2133) + 8947\/207.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 402*f - 2*f**2 + 400*f - 2 - 809*f + 7*f**3 to the form y*f**2 + w*f + d + q*f**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 147534557?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b + 4. Let p be s(0). Suppose -3*f - 1483 = -p*l, -l + f + 0*f + 370 = 0. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + 15*n - 5. Let s be c(14). Let l(w) = 7 - s*w - 2 + 7*w. Calculate l(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/2)\/((-12303)\/(-2734)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -71*u**4 + 12 + 14 - 110*u - 38 + 11 - 2*u**3 wrt u.\nAnswer: -852*u**2 - 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(9\/5)*o)\/o)**(-3\/16)\/(o**(-30)\/((o\/(o*o**(-22)))\/o)) assuming o is positive.\nAnswer: o**(4053\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.14 - -14.86. Let h = -48 - -34. Let s = q + h. What is the smallest value in s, 1\/10, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 6*j**3 - 2*j - 2. Is k(2) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - (0 - -1 - 2). Let n(c) = -c + 5. Let f be n(6). Let s = j - f. Calculate the remainder when 2 is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187286123.\nAnswer: 227, 825049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 44b60 + -105?\nAnswer: 44a57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 - 5*i - 1. Let l be p(6). What is the second derivative of 16*g**l - 4*g + 7*g + 8*g wrt g?\nAnswer: 320*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.02 equal to -38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1.11, -2, -1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 1840 = 2*k, 2*u + 3*u - 3*k - 2300 = 0. Let d = 899 - 440. Is u at most d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -10163246?\nAnswer: -10163251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 - j + 27. Let i be l(0). Suppose -t - 2*t = -3*a + i, 2*a + 5*t + 3 = 0. Let h = 16 - 13. Solve h*x - 5*x = a for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 1240260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 68 in -2\/9, 0.7, 0.4, -1\/7, 1\/7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 816\/7 - 6\/7*f**3 + 792\/7*f + 180\/7*f**2 = 0 for f.\nAnswer: -2, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 36*i**2 - 3*i - 37*i**2 - 1 - 1. Give j(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0479 - 0.0478566. What is b rounded to six dps?\nAnswer: 0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one fifth of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -794 divided by -2.\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(3\/4))\/r)**42 assuming r is positive.\nAnswer: r**(63\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (168\/(-1120))\/(4\/96*9)*-80. Find g, given that 52\/5*g**2 + 64\/5 - j*g + 12*g**3 + 9\/5*g**4 = 0.\nAnswer: -4, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 25648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -60.1 and 0.05?\nAnswer: 60.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35378207 is divided by 1360700?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 43*y**2 + 403*y**2 + 8 - 76*y.\nAnswer: 446*y**2 - 76*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d + -297ba1?\nAnswer: -297bb0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -3777*i**2 - 15*i + 50. Let v be u(15). What is v rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2287637 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = l - 4. Let i = -22 - l. Is 4\/i + 9222\/30 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 4*m - 0*m - 6, 4*k = m + 7. Suppose 0 = 3*w + m - 10. Suppose -5 = -w*h + 4. Solve -4*y + 0*p - 36 = -4*p, -p = h*y + 7 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48081 (base 12) in base 7?\nAnswer: 552256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 4*j = -7*j + 5, 0 = t - 2*j - 6. What is the closest to -2 in 1, 0.3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6 - 3 - 0) + -3. Suppose -y = -2*v + 29 + 30, 2*v - 2*y - 60 = s. Let f = v + -12. What are the prime factors of f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u - 2*u = -2*f + 6, 42*f + 2*u = 40*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) 0.02 (b) 3 (c) -1\/4 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -17888839, -35777578, -53666315, -71555050, -89443783, -107332514?\n\"Answer: v**2 - 17888742*v - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2231203220 (base 5) to base 16.\nAnswer: 4b7139","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55033 is divided by 69.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296906 is divided by 19792.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*1*((-6)\/(-9) + -2). List the prime factors of -4 + (a\/6)\/((-14)\/2079).\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 8\/25 of a gram?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(2*sqrt(12)*-1))**2.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*a + 3. Calculate the lowest common multiple of a and 7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.66336 to 1 dp.\nAnswer: 5.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14 + -10 + (-6 - (-24)\/21). Sort 61, -1\/3, s, 1, 4.\nAnswer: s, -1\/3, 1, 4, 61","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 10.\nAnswer: 0, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*b - 318 = b, 170 = d - 5*b. Suppose -y = -6*y + d. Let z = -17 + y. Does 13 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o**2 - 605*o - 323. Let m(d) = -2*d**2 - 606*d - 269. Give -6*m(c) + 5*p(c).\nAnswer: 2*c**2 + 611*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 v when two letters picked without replacement from ojoovokvfo?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 120 = -19*g + 149, -5*y = -4*g + 23 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of -h**4\/12 + 3*h**3\/2 - 3*h**2 + h. Calculate the smallest common multiple of d(7) and (-130)\/(-8) - (-2)\/(-8).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1982, -4, -0.4 in ascending order.\nAnswer: -1982, -4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 h, and 1 t when three letters picked without replacement from {h: 1, c: 2, t: 2, a: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -z, -3*z + 2*z + 4*o = 0. Let t = 1 - -4. Suppose -4*c + 14 = -6. Solve -d + 2*d - c*m - 7 = z, d + m = -t for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1400))\/(sqrt(72)*-1) + (sqrt(168)\/(2*sqrt(6)))\/(sqrt(8)\/(sqrt(2) - (sqrt(2) + sqrt(8) + sqrt(2)))).\nAnswer: 11*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 4032.\nAnswer: 20160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from biii. What is prob of sequence iiib?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 5*s - 3. Let x be (-30)\/(-18) + (-2)\/(-6). What is i(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1199, 1168, 1089, 938, 691, 324, -187, -866?\nAnswer: -1737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) -4 (c) 93 (d) 3 (e) 68\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 68 - 62. Calculate the remainder when v is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/13 + 2987694*j\/13 - 2987696\/13.\nAnswer: 2*(j - 1)*(j + 1493848)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, d: 2, p: 1, q: 3, f: 1}. What is prob of sequence qp?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -31*l - 3289. Let t(r) = -r**2. Calculate u(t(w)).\nAnswer: 31*w**2 - 3289","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/3*f**5 - 44\/3*f**2 + 14\/3*f + 0 + 16*f**3 - 20\/3*f**4 = 0 for f.\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 145 + 5\/((-20)\/(-16)). Suppose 150*j = w*j + 36. Let z = j - -121. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of 2*x - 1\/12*x**4 + 0*x**2 + 0 + 0*x**3. Let o(z) = z**2. Determine o(q(j)).\nAnswer: j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1152.9 rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*t - 73*t = -3*n + 1490, 2484 = 5*n - 2*t. Suppose 0 = 3*p - 34*p + n. Solve 0 = -5*h + p + 9 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -17, -15, -13, -11, -9?\n\"Answer: 2*d - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + (-2 - (5 + -3)*-1). Suppose -7*i = -m*i - 1904. Is 16 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 5, -y + 2*g - 3 = -9. Solve -y*d + 18 = -2*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 + 14*k**2 - 9*k**2. Let f(c) = c**2. Let w(l) = 6*f(l) - 2*y(l). Let x(r) = -3*r**2. Calculate w(x(h)).\nAnswer: -54*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 845, 915, 1007, 1127, 1281, 1475?\nAnswer: 1715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) - (5 + ((0 + sqrt(19))**2 - sqrt(19) - sqrt(19))) - (sqrt(19) + 1*sqrt(19) + sqrt(19))*3.\nAnswer: -6*sqrt(19) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2242045700253 and 0.\nAnswer: 2242045700253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187691782 is divided by 165.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1692 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 8*l - 35. Suppose 0 = 3*t - l*t + y - 5, -4*t - 19 = -5*y. Let n be (0 - (t - 3))\/2. Solve -n*a = -a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - 6*x**2 + 2*x + 2. Let l be h(5). Let f = -8 - l. Solve r = -3*r + 4, 0 = -5*j + f*r - 5 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 15*y - 4. Let i be z(14). Suppose 3*m = -235 + 475. What is the greatest common divisor of m and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 4*d**3 + 2*d**2 + 9. Let f(w) = 7*w**3 + 3*w**2 + 17. Let q(b) = 3*f(b) - 5*x(b). Let r(v) = v**2 + 12*v - 85. Let l be r(5). Give q(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 - 100*l + 20 + 256*l + 15 + 27 in the form q + g*l and give g.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of -3\/56*n**8 + 0*n**3 + 0 + 0*n**6 + 0*n**7 + 0*n**5 - 2*n + 0*n**2 + 1\/6*n**4. What is the third derivative of x(f) wrt f?\nAnswer: -360*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, 0.04, -179, -2\/7, -401?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2.379437 centuries?\nAnswer: 237.9437","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 87, -11, -1, 1, 5, 7 in increasing order.\nAnswer: -11, -1, 1, 5, 7, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + -1. Let y be (-636)\/(-60) - i\/10. Solve 8*z = y*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, w: 2, b: 1, h: 3, j: 7}. Give prob of picking 1 u and 1 w.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y + y + 5*y)*(-y + 2*y + 0*y) + y**2 - 5*y**2 + 3*y**2 + (-3*y**2 + y**2 + y**2)*(-3 + 2 - 1) + 204*y**2 - 512 + 253 + 260.\nAnswer: 206*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.37 - -0.76. Let o = j + 0.610093. What is o rounded to five dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -666238*w - 1. Let j(i) = -80*i**2. Give a(j(v)).\nAnswer: 53299040*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/6 + 9*l + 51\/2.\nAnswer: (l + 3)*(l + 51)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {h: 3, r: 2, s: 4}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-j**2 + 0*j**2 - j**2)*(-5 + 4 + 0) - 10*j**2 + 19 - 19)*(12*j**2 + 109*j - 186*j + 84*j) as r*j**4 + g + c*j**2 + d*j**3 + v*j and give r.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*i**4 - 524*i**2*t + 70919*i*t wrt i?\nAnswer: 60*i**2 - 1048*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3218889.\nAnswer: 3, 37, 47, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - (-32)\/(-18))*(-2)\/4. Let q = -0.3 + 2.8. Let o = q - 2. Which is the nearest to 1\/2? (a) -1 (b) s (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 4 + (1 + 1 + 2)*(-2 + 5 - 2))*(3*y + 0*y - 2*y + (6*y - 5*y - 3*y)*(-1 + 2 - 2) + 4*y - 6*y + 4*y).\nAnswer: 30*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 16 - 2 = 0. Calculate the remainder when b\/(-15) + (-1326)\/(-10) is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.4 - 0.5. Let x = 6624.1 - 6626.1. What is the nearest to x in a, 4, -11?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -795*d**2 - 476*d**2 + 1 - 4*d + 4*d + 0.\nAnswer: -1271*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2268.0000007905 + -2268. What is w rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4894, -9781, -14674, -19579, -24502?\n\"Answer: -f**3 + 3*f**2 - 4889*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 19*x**2 - 6*x - 40. Let m be t(20). Suppose 204 = 6*o - m. Is 18 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 AM and 8:50 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 842 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**2\/5 + 603790*c + 3018951\/5 = 0.\nAnswer: -1, 3018951","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of -u**7\/42 + 11*u**5\/60 - u**2. Find the third derivative of r(w) wrt w.\nAnswer: -120*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 7*o + 13. Let y(z) = -z + 12 + 10*z - z. Let f(v) = 7*n(v) - 6*y(v). Is f(9) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3222898 to the power of 1\/2, to the nearest integer?\nAnswer: 1795","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 4 + 4)*(-m - 3*m + 5*m + (28 - 28 - 8*m)*(4 - 5 - 1)) to n + a*m and give a.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23171\/11 + -2103. Find the common denominator of (-4)\/(-40) + (-18)\/75*-85 + -3 and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (227 - 105 - 114 - 6*m**2)*(1 + 0 - 2)*(-4*m - 2*m + 4*m) as r*m**3 + w + s*m**2 + t*m and give t.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/27*2)\/((-22)\/33).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 3 + 5. Let u be (1\/(-2))\/(1\/b). Let r be ((-3)\/(-4))\/(u\/(-56)). What is the greatest common divisor of r and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/2208 and 61\/207.\nAnswer: 6624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 37 (c) 4\/11 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 5 = w - 8*h, 20 = -3*w + 5*h. Is (62\/(-6) + -2)*w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 144 = -5*j. Let l be -2*(-1 + 0 - 1). What is the highest common divisor of j and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.122449 to 1 dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do -60334 and -59200 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 - 7*j**2 + 2*j + 6. Let n be b(5). Let k = n + 19. Which is smaller: -13 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-25)\/(o\/o**33)*o**18*o**(-1\/17)\/o)**28 assuming o is positive.\nAnswer: o**(11396\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37843?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -38*h**3 + 7*h**2 + 7*h + 1. Let f = 16017 + -16024. Let n(d) = -19*d**3 + 4*d**2 + 4*d + 1. Give f*n(v) + 4*q(v).\nAnswer: -19*v**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 3)*(-2*d + 3*d - 2*d + (2 - 4 + 3)*(d - 11*d - 7*d)).\nAnswer: -18*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 110488, 110487, 110484, 110479?\n\"Answer: -a**2 + 2*a + 110487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 40.09458us?\nAnswer: 40094.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -57*u - 2. Let k(p) = -2*p**2. Determine k(m(l)).\nAnswer: -6498*l**2 - 456*l - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of 2*m**4\/3 - m**3\/2 + 7*m**2\/2 + 2*m - 10. Is 26 a factor of l(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12051667 (base 8) to base 15.\nAnswer: 373116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o**3 - 5*o**2 + 2*o + 13. Let j(b) = -4*b - 19. Let z be j(-4). Let v be n(z). What is the highest common factor of 80 and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.50466 + -0.5.\nAnswer: 2.00466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5379336955 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(84)\/sqrt(4)*1)\/(sqrt(14)\/(sqrt(288)*-1)) + 4)*1.\nAnswer: -60*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 1702?\nAnswer: -680.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + h = 1, -12 = 4*s + h - 1 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, m: 1, t: 2, k: 1}. Give prob of picking 1 k and 1 m.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1077, -3914, -8679, -15402, -24113, -34842?\n\"Answer: -5*f**3 - 934*f**2 - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, g: 2, y: 1, h: 3, u: 4}. Give prob of picking 1 g, 1 h, and 1 u.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - (18\/27 + (-40)\/6). Let r(a) = -4*a**3 - 7 + q*a**3 - a**2 + 10 - 6 - a. Calculate r(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*z - 40 = 8*h + 17*z, z + 3 = -3*h - 4*z + 49 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w**5\/7 - 124*w**4 + 2224*w**3\/7 + 60*w**2 - 2664*w\/7 = 0. Calculate w.\nAnswer: -111, -1, 0, 3\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 45*k - 48*k + 88*k + 3*k**3 to the form x*k**2 + w*k + n + u*k**3 and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1600 and 351425.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -6*(sqrt(11) + -4) - ((sqrt(11) - (-1 + sqrt(11) + sqrt(66)\/sqrt(6))) + 5))**2.\nAnswer: -170*sqrt(11) + 564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -5*u - 36. Let w be g(-8). Let q(p) = p**2 - 2*p + 2. Let m be q(3). Suppose -m*c = -4*c. Solve w = -4*x - c for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**2 + 4*x**2 + x**4)*(4855*x - 9697*x - 932 + 4853*x).\nAnswer: 11*x**5 - 932*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/1238242 and -123\/160?\nAnswer: 99059360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117 + 45*h**2 - 42*h**2 - 129 + 117*h = 0 for h.\nAnswer: -41, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 248144927?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0240054 - -0.024. What is y rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -364960, -364912, -364826, -364696, -364516?\nAnswer: -364280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44123771 and 397?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -11*o + 2. Let d(x) = 4*x**2 - 8*x + 10. Let b be d(2). Let j be (-9)\/90 + 81\/b. Let a(v) = 7*v - 1. Calculate j*a(i) + 5*z(i).\nAnswer: i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 655*t**5*x**2 - 2*t**5*x + 3*t*x**2 - 5*t*x + 17*x**2 wrt t.\nAnswer: 13100*t**3*x**2 - 40*t**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -70*z**2 - 6*z + 15. Let b(r) = 160*r**2 + 14*r - 30. What is 3*b(g) + 7*n(g)?\nAnswer: -10*g**2 + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*i - 31*i + 24*i.\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1062986202?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132*h - 7410 + 1014 = -32*h. What is the remainder when 2403 is divided by h?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -1. Let j = t + -8. Let z(l) = 2*l**2 + 4*l - 1. Give z(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 142.2, -3\/7, 2.2, -1\/2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28280 and 241794?\nAnswer: 1414","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -g**3\/2 - 4993*g**2\/2 - 6230015*g\/2 + 6235009\/2 = 0.\nAnswer: -2497, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3\/8 - 63*h**2\/2 + 882*h - 8232.\nAnswer: 3*(h - 28)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.8 from -4.\nAnswer: -6.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2.1 or -9?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 10) to base 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6154 and 0.038?\nAnswer: -233.852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -11*u**6\/120 - u**4\/24 - u**3\/6 - 3*u**2. Calculate t(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*i - 37 + 13. Let c = i + -5. Let b be ((-30)\/34 - c)*(11 + -10). Which is smaller: b or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1312 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, 19, -5, 3 in decreasing order.\nAnswer: 19, 4, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 - 119*r - 2417. Let p be q(-93). Let d(b) = 2*b**2 + 9*b + 1. Let j(k) = k. Calculate p*d(x) - 2*j(x).\nAnswer: 2*x**2 + 7*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + l + 2)*(4*l - 65 + 65)*((-1 - 2 + 1)*(3*l - 3*l + 2*l) + 1 - 2*l - 1).\nAnswer: -24*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1809*v + 1277*v = -7878 + 38738 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12146147 is divided by 418832.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - (-1 - -5) - (-171)\/63. What is the second smallest value in 4, 11, 5, u?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 98.45076ng?\nAnswer: 0.00000000009845076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2063*c**2 - 2424 with respect to c.\nAnswer: -4126*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-7)*(-14)\/(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 4*s**3 - s**2 - 3*s + 4. Let c be g(1). Suppose 2*q = c*z + 16, q + 3*q - 4*z - 20 = 0. Put q, 0, 79 in increasing order.\nAnswer: 0, q, 79","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmvvbvsvvsvvmvvgvm. Give prob of picking 2 s and 1 v.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*m - s - 117 = 765 + 174, 4*s - 8 = 0 for m.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 37333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of -s**8\/3192 - 4*s**7\/665 + 29*s**6\/570 - 46*s**5\/285 + 21*s**4\/76 - 16*s**3\/57 + 66*s**2 + 2*s. Factor y(k).\nAnswer: -2*(k - 1)**4*(k + 16)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*v + 150 = -26*v - 0 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*w)*(11 + 6 + 1) + 2*w - w + 0*w + (-3*w - 2*w + 3*w)*(1 + 1 - 3) + 0*w - w + 2*w - 3 + 3 - 3*w.\nAnswer: 37*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -14 (b) 494 (c) 1 (d) -1 (e) 0.5 (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*s - s - 3*s - 6*s + 2*s + 2*s + (2*s + 10 - 10)*(4 - 2 + 0) + 2 - 2 + 2*s)*(-1 - 1 + 1) to the form v*s + h and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 o when two letters picked without replacement from uvkukuuvxkvuok?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/171 and -11\/35549.\nAnswer: 319941","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 + 10*p + 25. Let g be b(12). Let w be 2\/4*26 + g. Let i be 345765\/w + (-10)\/(-4). Round i to the nearest 1000.\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 200*g**2 + 415*g**2 - 147*g**2.\nAnswer: 68*g**2 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-676)\/(-390))\/((-84)\/(-126))?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 + -12. Suppose 5*l + 25 = -q*l. Let g = 6 + -6.1. What is the nearest to g in -3\/7, l, -2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9\/((-90)\/(-23572)) - (-4)\/5.\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.03 - -0.03. Let t = 2.19 + -0.29. Let o = t + -2. Which is the nearest to 0? (a) 3 (b) o (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11351 = 90*u + 8561 for u.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d**2 + 6*d + 28. Give b(10).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = o - 390. What is the common denominator of (-4)\/(-26) + 8315\/o and 10\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 z when two letters picked without replacement from {l: 7, z: 4}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 61743 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**3 + 2*q**2 - 2*q - q**4 - 2 + 1 - 1 as d*q + r + t*q**4 + l*q**3 + s*q**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-40)\/(-7) + (-2)\/(-7). Suppose -5 = 5*n - f*n. Suppose -2*c + 102 = 5*y - 208, -2*y + 95 = -n*c. Is y a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2407844*b**3*j**2*t - 2*b**2*j**2*t - 316*b**2*j*t - 3571*j**2*t wrt b?\nAnswer: -14447064*j**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 101*l + 108. Let z be y(-1). Solve 0 = 4*t - 3*t - 5*j + 4, -z = -5*t - 2*j for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 36\/66*22\/3. Let a(b) be the third derivative of 1\/140*b**7 + 0*b + 3*b**2 + 1\/24*b**5 - 1\/48*b**j + 0*b**3 - 7\/240*b**6 + 0. Factor a(o).\nAnswer: o*(o - 1)**2*(3*o - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10020002102010 (base 3) in base 13?\nAnswer: -48030c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6856132.\nAnswer: 2, 83, 107, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*f - 3*f - 9. Suppose 0 = -0*d + d - f. Let h = -2 + 5. Is d not equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 4. Suppose 2*u = u + 9. Let r = u + g. Solve -r*b + 2*b + 2*c = -8, -2*b - c = -10 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -7*w**3 + 2*w**2 + 2. Let a be k(-3). Suppose -5*b + a = -4*b. Calculate the greatest common factor of b and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -375, 3, 1, -4 in descending order.\nAnswer: 3, 1, -4, -375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11586 rounded to 2 decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44101624 (base 8) to base 4.\nAnswer: 210020032110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2000)*-1 - (sqrt(20) - (sqrt(20) + ((sqrt(120) + sqrt(120)*1 + sqrt(120))\/sqrt(6) - sqrt(20)))))\/((sqrt(360)*-3 + sqrt(10))*-6).\nAnswer: -4*sqrt(2)\/51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 53 + (-10 - 1) - (0 - 1). What is the first derivative of 8*i + i + 0*i + a + 9*i + 2*i + i**2 wrt i?\nAnswer: 2*i + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 5*d + 0*d = 4832, -5*i - 5*d = -12045. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, 137, 0.1, 9477?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 193119199.\nAnswer: 7, 13, 2122189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 2:31 AM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 5:00 AM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j - 11. Let s be p(7). Let l be (-12)\/16*s - 1. List the prime factors of 17 - (1 - l) - -2.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -18, -3, 34, 99, 198?\nAnswer: 337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -420.17 - -423. Let w = g - -0.17. Put 2\/7, w, 0.1 in ascending order.\nAnswer: 0.1, 2\/7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 403427?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - 12110012102211?\nAnswer: -12110012102222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-6 - -6) - (557 - 471).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -6. Differentiate 2*s**h + 11 - s**2 - 8 wrt s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6047 (base 9) to base 6.\nAnswer: 32241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from assffffsdndnfnf. What is prob of picking 1 f and 1 n?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1584 and 12826?\nAnswer: 923472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.3 to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-39)\/(-9)*(-108)\/(-4212)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 91747*y**6 + 394*y**5 + y**2 + 17445*y + 924?\nAnswer: 11009640*y**3 + 23640*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*s - 416 + 1836 = 38*s. Calculate the remainder when 369 is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 PM and 11:21 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 40251, 80615, 120989, 161379, 201791, 242231, 282705, 323219?\n\"Answer: x**3 - x**2 + 40360*x - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 127584580733 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 943360*0.3.\nAnswer: 283008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-6\/5)\/n)\/(n\/n**8))**(-10) assuming n is positive.\nAnswer: n**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 141 a factor of 20926515?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/115? (a) 0.3 (b) 3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5477272?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -105630 + -717?\nAnswer: -106547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 2)*(-3*q**3 + 14 - 14) + (-1 + 4 - 4)*(-3 + 3 - 2*q**3) - 3*q + 3*q + q**3.\nAnswer: 9*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3843560 divided by -5?\nAnswer: -768712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3*w - 111 = 63, 5*c + 780 = 3*w. Is (1\/(-3))\/(1\/c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 98 and 1761060.\nAnswer: 1761060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 (base 14) in base 12?\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.456801699 rounded to 0 decimal places?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (36\/15)\/(6\/20). Suppose -5*t + p = -n, 0*p = -t - p + 4. Does 9 divide (-372)\/(-28) - t\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 113749492 and 1236?\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen tenths of a hour in minutes?\nAnswer: 114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13697711.\nAnswer: 1831, 7481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4646*q**5 - 1225*q?\nAnswer: -92920*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 - l**2 + 0*l**2)*(-10269 - 14723 - 27985 + 10616 - 4461).\nAnswer: 46822*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(95) - sqrt(95))*2)\/((-2*sqrt(55))\/sqrt(11)) + 5)**2 + ((sqrt(2736) + sqrt(2736) + 1 + sqrt(2736))**2*4 + -1*sqrt(2736)*-4)*-6.\nAnswer: -590899 - 1996*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20517?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 5:37 PM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 5. Suppose 0 = -b*f + 4, -5*f - 2 = 3*a + 2. Calculate the common denominator of 2\/a - (-6)\/36 and 61\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -59*u*v**3 + 12*u*v**2 + 1529*u*v + 11*u + v**4 - v**2 wrt v?\nAnswer: -354*u*v + 24*u + 12*v**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -302, -595, -888, -1181, -1474?\n\"Answer: -293*s - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/5 (b) 25 (c) -17\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30983 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**2 - 3*r. Let u(v) = 6*v**2 - 8*v - 1. Calculate -8*o(p) + 3*u(p).\nAnswer: 2*p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that y**3\/3 + 193*y**2 - 629401*y\/3 + 627655 = 0.\nAnswer: -1135, 3, 553","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -15, -165, -409, -747, -1179, -1705, -2325?\n\"Answer: -47*h**2 - 9*h + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 74*i - 7174. Let k be w(97). Solve 3*q + 2 = r, 10*q - 14*q + k*r = -8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1145 + -677. Is j a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/12 and -67\/110.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 383*p**2 - 101*p**2 - 93*p**2 - 100*p**2 - 90*p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/7))**(-2\/115)*o*o**(-1\/13)*o*o*o*o*o**(-2\/9)*o*o*(o*o*o**(-1))**(-22\/3)\/(o*o**(3\/7)*o**(-3\/7)) assuming o is positive.\nAnswer: o**(-154223\/94185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010011010001 (base 2) in base 11?\nAnswer: -4005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 679267?\nAnswer: -3396335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - 8*q**2 - 9*q + 1. Let n be 8 - 2 - 9\/(-6)*2. Let m be k(n). Put -1, m, -3 in descending order.\nAnswer: m, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30.2 + -27. Let r = t - -0.8. Let i be -3 - (-3)\/(-30)*-26. Which is the smallest value? (a) i (b) r (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*z + 257 - 59. Does 29 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_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: Let l(n) = -n**3 + 10*n**2 - 10*n + 2. Let a(d) = -2*d - 7. Let h be a(-8). Let z be l(h). Let w(m) = -8*m - 7*m + 34*m + 7 - 10*m - 7*m. Determine w(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -2*r - 11, -4*r + 3*m = -r + 9. Let h = 6 - r. Suppose 3*d - 16 = -h*q + 46, 70 = 3*d - 4*q. List the prime factors of d.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.4 - -1.4. Which is the second biggest value? (a) s (b) -2\/3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j + 3. Let y(a) = 3*a + 3. Let v(o) = -6*q(o) + 5*y(o). Let i be v(-6). Solve -3*h - 5*u = 6 + 19, 3*h - 3*u - i = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 968 and 165528.\nAnswer: 165528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/7200140 and -89\/20.\nAnswer: 7200140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45 + -45.51. Let b = p + 0.5. Let m = -0.0192 - b. Round m to 3 decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-13 + (-17 - -26))\/((-12)\/(-21)). Let m(c) be the third derivative of -c**5\/60 - c**4\/4 + c**3 - 6*c**2. Calculate m(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30175876 divided by 19.\nAnswer: -1588204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-24)\/15)\/((-2)\/5). Suppose -10*m + 60 + 100 = 0. Let b = -17 + 37. Solve m = -5*r - 4, -a*r - b = n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 7093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 597748 and 2204?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2*r = -6*r - 7, 2*s = -2*r - 14. Let n = 11 + -9. Suppose -21 = n*o + o. Is s greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -1\/7, -35637, 1\/4, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2 + 24958*w - 7758080.\nAnswer: -2*(w - 12160)*(w - 319)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 640623, 2562477, 5765573, 10249911?\nAnswer: 16015491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -0*k + 3550000. Round k to the nearest one hundred thousand.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-4) + -1)\/(53 - (-28689)\/(-524))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9644*o**4 - 15414*o - 1532037534?\nAnswer: 38576*o**3 - 15414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 15871*g**2 + 767*g + 767. Let f(c) = 62*c**2 + 3*c + 3. Calculate 1534*f(d) - 6*v(d).\nAnswer: -118*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -4414?\nAnswer: 3\/4414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*r = -4*d + 42*r + 6, 2*d - 18 = -4*r. Sort -9, d, 2 in descending order.\nAnswer: 2, d, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -982 + 1270. Is 2 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 12*l + 2. What is the units digit of v(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 105 = s, 2*s = -q + 6*q - 158. Let j = 165 + s. Calculate the greatest common factor of j and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.06 + -3. Let o = -70142 + 70141.939978. Let z = k + o. Round z to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 248 and 248?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 4*y. Let l be d(1). Suppose l*t = 51 + 17. What is the remainder when t is divided by -2*(-3 + 21\/6) - -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 - 119 = -7*h - 5*q, -3*h = 5*q - 17. Which is the nearest to 5? (a) 70 (b) -4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of 1\/30*s**5 - 1\/60*s**6 + 0*s + 0*s**3 + 0*s**4 + 5*s**2 + 0 + 1\/168*s**8 - 1\/105*s**7. Factor j(l).\nAnswer: 2*l**2*(l - 1)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -3*o + 12. Suppose 6*w = o*w + 40. 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: Expand (-111*y + 111*y - 94*y**3)*((-y + 3*y - 3*y)*(4*y + 0*y - 2*y) + 3*y**2 + 3*y**2 - 2*y**2 + (-7*y + 9*y + 25*y)*(-1 + 1 - y)).\nAnswer: 2350*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2043 and 526640.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1843 divided by 11.\nAnswer: 1843\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xzakxwz. What is prob of sequence azkz?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*r**3 - 5*r**3 + r**2 - 3*r + 0*r + r to the form v + g*r**3 + o*r + q*r**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.17 + 0.97. Let g = 0.3 - s. Let j = 4.5 + g. What is the biggest value in 5, j, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7782918 is divided by 503.\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34, 114, 244, 424, 654, 934?\nAnswer: 1264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 37070 = -5*o, 6*o - 4*o = 4*d + 14834. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82477 to the power of 1\/2, to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 - -1)\/(1\/4). Let t be g + 2 + 0 + (2 - 1). Let c be t + 8\/2*7\/(-14). Is c >= -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v + 14. Let z be y(11). Let a = 22 - 22.2. What is the third biggest value in 0.6, a, z?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -37*g**3 + 57 + 1 + 69*g**3 - 25*g**3 in the form c + a*g**3 + p*g + y*g**2 and give c.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3682 - 35*y**2 + 5064 - 8746.\nAnswer: -35*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.58 + 0.38. Let m = q + 4. Let t = 6929 + -6929. Sort m, t, -2.\nAnswer: -2, m, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x = -26 - 16. Suppose 5*k = -x*h + 687, -k + 4*h = -26 - 93. What is the greatest common factor of k and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 1043 = -6*u + 2*u, 0 = 3*q + 5*u - 611. Calculate the greatest common divisor of 23 and q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 60 - 107*a + 227 - 5*a**2 + 208 + 135 - 198*a = 0.\nAnswer: -63, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-1*6*(sqrt(85) - -1*sqrt(85)*6 - sqrt(85)))\/((-2*-2*sqrt(45) + sqrt(45))\/(sqrt(81)\/(1*sqrt(9)))))**2.\nAnswer: 144*sqrt(17)\/5 + 22132\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5640 + 6270. What is the greatest common factor of 350 and p?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 (base 7) in base 8?\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -3*l**2 + 4*l - 22. Let o be x(0). Sort 3, o, 1 in descending order.\nAnswer: o, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1895 divided by -5?\nAnswer: -379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 572573?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0\/(-1) - 1)\/1. Let w = -167\/3 + 55. Which is the nearest to j? (a) 1 (b) -1\/2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of -1\/6*b**3 - 1\/24*b**4 - 2*b**2 + 0 - 1\/60*b**5 + 0*b + 1\/120*b**6. What is the least common multiple of n(2) and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 323993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/8? (a) -184\/25 (b) 0.4 (c) 25\/99 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7\/2 - 1\/2*u**3 - 5\/2*u**2 + 13\/2*u.\nAnswer: -(u - 1)**2*(u + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 53074 + -21239. List the prime factors of k.\nAnswer: 5, 6367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2365*u + 2739*u - 173536 for u.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2800, 5300, 7574, 9622?\nAnswer: 11444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17878300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 860969?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -8 (c) 2292438\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 9*s = -5*s - 104, 11*s - 66 = 0. Suppose 0*j = -3*j + 48. What is the greatest common divisor of j and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2616431 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 8*b + 3. Calculate a(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 110.6 - 419. What is y rounded to the nearest ten?\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*g = -2700 - 37530. List the prime factors of g.\nAnswer: 2, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*f**3 - 3*f - f**4 - 2*f**2 + 12*f**3 + 14*f**3 in the form k*f**4 + g*f**2 + o*f + j*f**3 + z and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -80 - 84 - (88 - (2 + -2))?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -49207\/34 (b) 3\/2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -222 (base 4) to base 6.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 320 = 5*w - 5*v, 5*v = 4*w - 260. Does 25 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = h + 2, 5*j + 16 = -2*h + 12. Suppose y - v = 4, j = y - 3*y - 3*v - 2. Let i(p) = -3*p + 5. Give i(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/21, -1\/7819, 866?\nAnswer: -1\/7819","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1568595?\nAnswer: 3, 5, 7, 14939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*x - 24*x + 23*x.\nAnswer: 30*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2644\/8)\/((-4 - -3)\/(-6)). Suppose -3772 = -5*s + y. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*n - n - 10. Let r(w) = -1 + 4*w**n + 12*w**2 + 2*w - 4*w**2 - 4*w**2. What is r(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-2\/21)\/((b\/(b*b\/(b*b**(2\/29))))\/b))\/(b\/b**(-3\/4))**(-1\/31))**(-20))**34 assuming b is positive.\nAnswer: b**(-11454430\/18879)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3, -9, 14.325, 11\/6?\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 308298 to the power of 1\/4, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 25 + 9?\nAnswer: 2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 6*b - 410. Let v be z(43). Is v less than or equal to -151?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -56 + 61. Let q = -0.1 - -0.1. Suppose -4*r + l = -3, -5*l = -4 - 1. Which is the biggest value? (a) q (b) h (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**2\/13 + 8\/13 = 0. What is h?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h**6 + 803*h**5 - 2*h**4*o + 1178*h**2*o wrt h?\nAnswer: 120*h**3 + 48180*h**2 - 48*h*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -44*o + 0*o**3 + o**3 - 9*o**2 + 4*o**2 - 33*o + 7*o**2 as j*o + b*o**3 + g*o**2 + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/70 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v. Suppose 0 = 5*n - 2*n - 18. Let t(y) = -y**2 + y - 1. Let s(c) = -c**2 + 2*c - 2. Let f(m) = n*t(m) - 3*s(m). What is q(f(d))?\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2104916499 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 8*q + 30 = 0. Suppose q = -19*t + 20*t. What is the third derivative of 12*m**2 + 10*m**2 - 59*m**t + 43*m**6 wrt m?\nAnswer: -1920*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 6. What is the derivative of 9 - 28*z**2 - 11*z**3 + 28*z**x wrt z?\nAnswer: -33*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 179 - 100. Let d = c + -9. Is 35 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*t - 64*t = -5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-26)\/(-18))\/13)\/((-1)\/3).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -8*k - 6. Let l(h) = h + 11. Let j(q) = -2*q - 10. Let n(c) = 6*j(c) + 5*l(c). Let a(t) = 6*n(t) - 5*s(t). Let r(w) = -3*w. Calculate r(a(g)).\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 21546 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1066434843.\nAnswer: 3, 283, 1256107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y + 129183*y**2 + 2*y - 129185*y**2 - 199*y**4 + 0*y as l*y + x*y**2 + h*y**3 + k + j*y**4 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (14\/3 - 3)*3. Let u be (2\/4)\/(n\/10). Solve -5*t + 5 = -3*j, -t - u = -2*t - 2*j for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 10*k**2 + 10*k - 11. Let c be v(9). Suppose -2*h - 3 - 3 = 0. What is the remainder when 5 is divided by h\/(-1) + c\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/(sqrt(45)\/sqrt(9)) + sqrt(88)\/(sqrt(24)\/sqrt(3)))*-4.\nAnswer: -8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.06 - -0.24. Which is the second biggest value? (a) k (b) 3\/11 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 14 = -3*j - 3, -i = -5*j + 21. Suppose 6 = 3*k + 3*c, 3*k + c - 6*c = 6. Let q be k\/8 - (-68)\/(-144). What is the closest to -2 in q, i, 0.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3298, -7324, -12054, -17482, -23602, -30408, -37894, -46054?\n\"Answer: u**3 - 358*u**2 - 2959*u + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14637662 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 295 and 2360.\nAnswer: 2360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*(-5)\/((-3)\/(4 + 2 + -12)). Solve j - 1 = 2*q, -u*q = -18*q for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 727435283 to the power of 1\/4, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-4))\/((-5)\/(-10)). Let y be 0 - (-1 + (-1)\/(-1)). Sort c, y, -2 in decreasing order.\nAnswer: y, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 59, 106, 183, 296, 451, 654?\nAnswer: 911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1513800 rounded to the nearest one hundred thousand?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u - 37. Determine r(-38).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w + 16. Let f be u(-11). Let d = 9 - f. Suppose -3*y = -2*x + 2, 5*y + 0*y = 4*x - 6. Calculate the smallest common multiple of d and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 1:08 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1330 is divided by 273.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000429 rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(96) - (sqrt(96)*-1*-4 - sqrt(96))))\/((1*sqrt(16)*6)\/((sqrt(224)\/sqrt(4))\/sqrt(7))).\nAnswer: -4*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.4 + -3.6. Let j = -0.5 - -0.4. What is the third smallest value in x, j, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -12975a + -2?\nAnswer: -12975c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*t - 42 + 42)*(31 - 53 + 116)*(0 + 0 - 1).\nAnswer: 1034*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -34 + a - 10*a + a**2 + 22. What is t(10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 252 - 1205*s - 470 + 109 + 108 - 2127*s.\nAnswer: -3332*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.174*-0.3.\nAnswer: 1.5522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - 2*u + 2*u)*(3 - 5 + 0)*(-3*u + 0*u + 0*u).\nAnswer: 18*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 14, 16, 6, -22, -74, -156, -274, -434?\n\"Answer: -u**3 + 9*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2818*i - 2822*i = 3*o + 10, 8*o = i - 15 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - -1 - (81 - 2). Let y be (6\/10)\/(-1) + 21091\/(-115). Let n = v - y. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4144380*z**4 - 6*z - 88495486?\nAnswer: 16577520*z**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 36549301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -34647*n**5 + 35074*n wrt n.\nAnswer: -692940*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28000 = -1605*d + 108250 for d.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3571?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7.6 - 7.2. Let q be (-72)\/255 + (-2)\/(-5). Which is the third biggest value? (a) -5 (b) q (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-15)\/((-540)\/72))\/((-2)\/(-4)))\/(40\/(-76))?\nAnswer: -38\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1610 (b) -0.5 (c) 0.07 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2945013?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -155\/168 and -79\/224.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/((-4)\/(-87)) - 243\/324. Suppose 2*p - x = -p. Solve -p*o - 5 = -2*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2358013 and 183887?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 0 = 90. Suppose -2*p - k = 3*p. Is 3\/p + (-61)\/(-3) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*d - 1 + 6 - 8.\nAnswer: -11*d - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 29049, 29048, 29047, 29046, 29045?\n\"Answer: -p + 29050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226617 is divided by 1074?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3.3623 or 14612?\nAnswer: -3.3623","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 132750 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 21 = -4*a - 7, -3*p - 97 = -5*a - 74 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4695, 9443, 14213, 19011, 23843, 28715, 33633?\n\"Answer: t**3 + 5*t**2 + 4726*t - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1543566)\/(-148)*2\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 4*u + 8, 5*b - 2*b = 4*u + 6. Suppose 6*r - b*r = 0. Factor 2\/3*s**4 + 8\/9*s**3 + 0*s + 2\/9*s**2 + r.\nAnswer: 2*s**2*(s + 1)*(3*s + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vppppvgppggpggvp. What is prob of picking 1 g and 2 p?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -371*m - 12*m - 1 - 2362*m + 7 + 2*m**2 - 53.\nAnswer: 2*m**2 - 2745*m - 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6550090071 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of -r**6\/120 + 3*r**5\/20 - 8*r**2. Let o be b(9). Suppose 0 = 5*m - o*m - 215. Does 13 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 104157 times 1\nAnswer: 104157","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3000 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 86 + -86.17. Which is the second biggest value? (a) 3 (b) 2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 2*n = -1 - 3, 5*n = -5*o + 15 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-16)\/(-12))\/4*15. Suppose -19 + t = l. Let g = 16 + l. Solve -2*p = g*p - 16 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i**2 + 19*i - 7. Let w be o(-10). Solve g = w*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -5 (b) -3 (c) 3\/2 (d) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - 7*h**2 + 21*h + 22. Determine b(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6095.381 grams in nanograms?\nAnswer: 6095381000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 35 in 1\/10, 0.037, 0?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 222872?\nAnswer: 2, 13, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6.3? (a) -4 (b) -0.1 (c) -0.3 (d) 1 (e) -9\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + 3\/2)*-8. Let w(p) be the third derivative of p**5\/15 + 7*p**2 - 4. Let v(i) = 3*i**2. Determine g*w(t) + 5*v(t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/7, 5, -2\/49, 0.5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(81)\/sqrt(3))\/sqrt(9) - -1*sqrt(3)*1) + (sqrt(108) + -1 - (sqrt(432)*2 + sqrt(3))))**2.\nAnswer: 136*sqrt(3) + 3472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 56547221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -330 divided by 1314.\nAnswer: -55\/219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 348*r + 633 - 332 - 347*r - 301.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83145 is divided by 82988.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7501005 = 2*f - 5*q, 9*f - q = 7*f + 7501017. Let h be 42*((-496465)\/3 - 0). Let u = f + h. What is u rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, n: 2, q: 1, a: 1, w: 4, m: 3}. Give prob of picking 1 q and 1 w.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23523411*z + 23523412*z - 704 - 5481.\nAnswer: z - 6185","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 2 d, and 1 n when four letters picked without replacement from {x: 1, d: 4, k: 1, n: 2}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -65*u - 13*u - 312 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 1216019302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1008 is divided by 164.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zj when two letters picked without replacement from zvmmwmvvzj?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2211 and 15807?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132 + (-143 - -53) - (33 + 1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -19218 divided by -2\nAnswer: 9609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tatm when four letters picked without replacement from amamcccaatt?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 AM and 12:01 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/(-5))\/((-22)\/10). Let p be (1\/8*4*-3)\/3. Which is the fourth biggest value? (a) p (b) n (c) -1 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 20 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 9*f + 4. Let w(r) = -10*r - 4. Let a(g) = 2*v(g) + 3*w(g). Calculate the lowest common multiple of 4 and a(-2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 487818220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -m - 3*m. Let h(i) = 5 - i - m. Let n(y) = 0*y**2 - y**2 - y**2. Give h(n(b)).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -41*w - 31. Suppose -l - 3*k = -k - 11, -l + 3*k - 9 = 0. Let o(d) = 14*d + 10 + l - 1 - 2. Let i(n) = -11*o(n) - 4*z(n). Differentiate i(u) wrt u.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 66 by -575109.\nAnswer: -22\/191703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = -v + 6, 0*v + 8*v - 12696 + 12655 = b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122 is divided by 32.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - h - 4*h = -30, 2*h = 4*g. Let v(l) = 3 - 1887*l**g + 1894*l**2 - 1. Let q(r) = 3*r**2. Calculate v(q(s)).\nAnswer: 63*s**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 2*b**2 - 10147850*b = 0.\nAnswer: 0, 5073925","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 + 73*z + 610. What is the smallest common multiple of 825 and w(-68)?\nAnswer: 14850","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.6 - -0.3. Let a = -15317.9 - -15318. Let k = 136\/7 + -132\/7. Put k, -1, b, a in descending order.\nAnswer: k, a, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(35)\/(sqrt(15)\/sqrt(3)))**2.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 599696.3l to millilitres.\nAnswer: 599696300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -449256 smaller than -449256?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in -0.0134, 1\/7, 2\/13, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 4 = -2*i, 2*i + 11 = 3*c + 7*i. Calculate the remainder when 14 is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 252\/539 + 2\/(-7). Let p = -1146 + 1144. Sort p, 2, d, 0.2 in decreasing order.\nAnswer: 2, 0.2, d, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*x + 6*x - 31*x)*(-3*x + x + 3*x) + 0 + x**2 + 4 - 2.\nAnswer: -33*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 458*g + 18*g**2 - 458*g.\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -210281 (base 9) to base 6.\nAnswer: -2402114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -108 (b) 2\/3 (c) 2\/9 (d) 114.1 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 10*n**2 + 3. Let j be z(4). Let v(g) = -4*g**2 - 7*g - 13. Let l be v(-6). Let r = l + j. What is the greatest common factor of r and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oovvovvoooo. Give prob of sequence ovo.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 347628?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/19))**(30\/7) assuming b is positive.\nAnswer: b**(-60\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23 - 3. Find the third derivative of 0*u**5 + c*u**2 + 4*u**5 - 9*u**2 wrt u.\nAnswer: 240*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*g**2*o - 7*g*o - 7*g + 6*o + 69 wrt g?\nAnswer: -8*g*o - 7*o - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2 + 1 = 0. Suppose -2*j = -4*p + 6, 4*p - 5*j + 3 = -0. Let r(h) = 9*h - 10*h - p*h - 2. Determine r(g).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1247119775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of 17*p**2\/2 + 12. Let u(x) be the second derivative of x**3\/6 - 8*x. Give u(j(m)).\nAnswer: 17*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15205.2 - 15205. Which is the third biggest value? (a) j (b) -20 (c) 5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, s: 7, u: 7}. Give prob of sequence uus.\nAnswer: 49\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 - -54. Suppose -23 - 48 = -3*a + 4*o, 0 = a - 4*o - l. Calculate the remainder when a is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -192 divided by 64?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6311 in 2\/73, -4, -11?\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4356)*-2 + 4*sqrt(36)*3)\/(sqrt(144)\/(sqrt(300)*4 + sqrt(300))) + 0.\nAnswer: -250*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 7*a**2. Let z be b(-7). Suppose 5*k = -4*q + 800, -2*k + 203 = q - z*k. Let h = q - 134. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/6*(-28)\/3. Suppose 4*w - 8 - 10 = -3*r, -14 = -4*r - 2*w. What is the greatest common divisor of c and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1262 = 3*n - 50*w, -10 = -3*n + 5*w - 147 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a + 4121 = -19. Which is bigger: -462 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of 2*z**6\/15 - 2*z**3\/3 + 5*z. What is the second derivative of x(h) wrt h?\nAnswer: 48*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 441590*m**3 + 101870*m wrt m.\nAnswer: 2649540*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (5 + (-1 - 6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/(-36) - (-58)\/18. Suppose 2*v + b*v + 3*i - 58 = 0, -2*v + i + 32 = 0. What is the units digit of 4\/v - (-5)\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = -4*i + 4, 9*i + 891 - 948 = 3*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -98 - -111. Suppose -w*q + 24*q = 3520. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 12:33 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert cb (base 14) to base 10.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143947 is divided by 57?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c = 4*c - 3*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of -2483*o**5\/10 + 5*o**4\/4 - 14*o**3\/3 - 9*o**2 - 2. Let p be u(22). Round p to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence quq when three letters picked without replacement from qquqjjjuqjj?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 24, 49, 74?\n\"Answer: 25*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 x when two letters picked without replacement from xhihiihii?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32556 and 563916.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(4 - 5 - 11)*((4*u - 5*u + 3*u)*(-3*u**2 + 4*u**2 + 6*u**2) - 5*u**3 - 22*u**3 + 5*u**3).\nAnswer: 192*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 72532 (base 10) in base 9?\nAnswer: 120441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2 + f + 3*f + f**2 - f**2 + 5*f**2. Is s(-5) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of q**5\/4 - 35*q**4\/12 + 55*q**3\/6 - 25*q**2\/2 - 10*q. Let w(n) = 0. What is n?\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 411 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9686 is divided by 140.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p - 24. Let l(i) = 2. Let a(y) = -d(y) - 12*l(y). Let o(v) = 24*v**2. What is o(a(w))?\nAnswer: 96*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7217241 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7102717 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 38*v**3 - 2*v**2 - 2*v + 3. Let g(i) = i**2 + 7*i + 7. Let z be g(-6). Let b be j(z). Suppose -5*l - h = -61, 2*h - 3 = 2*l - b. Does 4 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -49 and 167375.\nAnswer: -8201375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 4746.6049 to the nearest ten.\nAnswer: 4750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23698, -26034, -32376, -44728, -65094, -95478, -137884, -194316?\nAnswer: -266778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/17))**(7\/4) assuming y is positive.\nAnswer: y**(7\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.3 (b) -132 (c) -29 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 52751 by -1.\nAnswer: -52751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68499 is divided by 170?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of -7*l**4\/6 + 6*l**2 + 7*l + 14. Let c(q) be the first derivative of t(q). Find the first derivative of c(r) wrt r.\nAnswer: -28*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1103058, 2, 1, 10, -5.\nAnswer: -1103058, -5, 1, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 8.24?\nAnswer: -3.296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + 9*u + 3. Let a = 26 + -35. Let m be w(a). Sort -4, -1, m, -2 in decreasing order.\nAnswer: m, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6444 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**(-1))**(2\/69)\/((n*n*n**(1\/4)*n)\/n)**(-2\/5) assuming n is positive.\nAnswer: n**(641\/690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -284\/5 at least as big as -56?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 13) to base 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 6. Let b be o*(5\/(-4) - 0). Let s = -264 + 255. Sort 1, b, s.\nAnswer: s, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = 2*r - 36, 4*u + 6 = -r + 5 + 44 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.45 * 0.15509\nAnswer: 0.0697905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {a: 2, o: 3, c: 7}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 774 and 606999.\nAnswer: 156605742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 2760000 to the nearest one hundred thousand.\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/15 - 11\/15. Let i = -10 - -17. Suppose -5 = 6*f - i*f. What is the closest to -0.3 in 2, f, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a decade in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - h**2 - 3*h + 6. Let x be y(2). What is the common denominator of -109\/52 and (-97 - 0)\/(-11 - (x + -5))?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 3*u**2\/4 - 126*u - 507\/4 = 0.\nAnswer: -1, 169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 - -13. Let k(o) = -5*o**2 + 3*o + 4. Let j(c) = 16*c**2 - 8*c - 11. Let s(x) = 3*j(x) + 8*k(x). Is s(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1049640 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 645 - 645.726. Let s = 0.7 + h. What is s rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**4\/7 + 18954*f**3\/7 - 360650*f**2\/7 + 268578*f - 1538352\/7 = 0. Calculate f.\nAnswer: -9496, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/((-30)\/(-66)))\/(-1)*(-9)\/(-9)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ex when two letters picked without replacement from {e: 1, x: 11}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/5*(-3)\/3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -40 (b) 0.1 (c) -0.4 (d) 2\/9 (e) -304\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b - 25 + 40 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 + 15*l**2 - 67*l + 141. Calculate w(-16).\nAnswer: 957","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 - 2*c - 3. Let o be n(-2). Let f(b) = 47*b + 14. Is f(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 4*m - 10. What is q(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -55*p - 106. Let j be t(-2). Which is the second biggest value? (a) -307 (b) j (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.75*-1.\nAnswer: -0.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -297 - -303. Solve -5*c + 31 = t for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8047 + 8730. What is the remainder when s is divided by 117?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 406 or 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.1577, -2\/3, -4, 5, 0.013?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of 3*q**2\/2 - 6*q + 2. Let a = -2 + 6. Calculate the least common multiple of a and d(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j**4 - 3*j**2 + 5*j + 5. Let v = 22 + -16. Let u(w) = -w**4 - w**2 + 2*w + 2. Let z(i) = v*t(i) - 15*u(i). Solve z(q) = 0 for q.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*z**2 + 1 + 40*z**2 + 2*z - 22*z**2)*(-2*z - 1 + 1 + (-2 - 4 + 4)*(0*z - z - z) + (4 - 3 - 2)*(22*z - 7*z + 9*z + (4 - 1 - 2)*(7*z - 2*z + 0*z))).\nAnswer: -27*z**3 - 54*z**2 - 27*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 0.0203.\nAnswer: 0.0812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1081, -3535, -7363, -12565, -19141, -27091, -36415?\n\"Answer: -687*d**2 - 393*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 670, 570, 488, 430, 402?\nAnswer: 410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.29 + -0.29. Which is the second smallest value? (a) 1\/3 (b) p (c) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 793 and 305?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 254628*o**3*z**3 - 24*o**3 + 2*o**2*z**2 - 15*o + 36*z**2 wrt z?\nAnswer: 1527768*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1929*i + 17842 - 17842)*(3 - 3 + 2*i) in the form l*i + u*i**2 + m and give u.\nAnswer: -3858","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*j - 55*j = -39 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1))**(-49)*(d\/(d\/(d*d*(d**2*d)\/d*d*d)))\/(d\/d**(1\/12)) assuming d is positive.\nAnswer: d**(649\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -13b1648?\nAnswer: 13b1651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6295.75km in centimeters?\nAnswer: 629575000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -3*k**3\/5 + 146703*k**2\/5 + 234759*k + 1027089\/5 = 0?\nAnswer: -7, -1, 48909","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, -19, -2923 in decreasing order.\nAnswer: 2, 1, -19, -2923","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - 7\/(7\/(-4)). Suppose -5*f - 1 = -b*f. Let i(j) = -j**3 - 4*j**2 - 3*j + 4. Let q be i(-3). Solve 0 = w + f - q for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = -3*l - 18, 15 - 1 = n - 4*l for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 3)*(-6 - 23 + 2)*(-4 + 4 - 3*d)*(0 + 0 + 2).\nAnswer: 324*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 0 - 9*u**2 + 7 - 3 + u**3 + 7*u. Let b be d(8). Let t(c) = 7*c + 7. Let q(s) = 11*s + 11. Let i(l) = -5*q(l) + 8*t(l). Give i(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 3418, 12, 4, 2, -0.091 in ascending order.\nAnswer: -1\/2, -0.091, 2, 4, 12, 3418","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/10962 and -133\/1566.\nAnswer: 10962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2*n**2 + 1 + (2*n - 2*n - n)*(0*n + 2*n + 0*n) + 4*n**2 - 3*n**2 - 5*n**2 - 25*n**2 - 16*n**2 - 78*n**2 to the form d + b*n**2 + f*n and give b.\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -8. Suppose g = 2*w - 18, 0 = -g + z*g + 6. Calculate the lowest common multiple of 20 and w.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 63 = 17. Let d be (1\/(-2))\/(4\/i). Solve -d*w + 0*w + 5 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 25*r**2 - 157*r + 47. Determine l(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56dc5 (base 14) to base 2.\nAnswer: 110011100101000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 2*f = 40. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l - 20. Let x be h(-11). Suppose 9*w = x*w + 35. What is the third derivative of t**5 + 2*t**2 - 5*t**w + 7*t**5 wrt t?\nAnswer: 180*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*v - v + v)*(-5*v + 5*v - 2*v) + 2*v - 2*v - 3*v**2 to w*v**2 + d + x*v and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 18*v**2 - 17*v + 5. Let m = -46 - -63. Let l be z(m). Solve 0 = -u - l*i + 30, 2 - 12 = -2*i for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 235 - -5?\nAnswer: 23a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 709515 is divided by 13622?\nAnswer: 1171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 11 - 10*t**3 - 415077*t + 9 + 415077*t.\nAnswer: -10*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4141?\nAnswer: 41, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 82, 0, -2, -5, 106, 4, -40.\nAnswer: -40, -5, -2, 0, 4, 82, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -2, 1, -1.7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10065 and 12799325?\nAnswer: 3355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f. Let y be p(-5). Let j be -4 + (-3 + 1 - -2) + 49. What is the greatest common divisor of y and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 4)*(42*i**4 + 36*i**4 - 21*i**4)*(-5 + 5 - 6).\nAnswer: 684*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -66.00000052 - -66. What is o rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 * -5135\nAnswer: 92430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 3*a + 6, 2*a - 3 = -2*u + a. Suppose -2*q + u*q + 3 = 0. Sort -2, -5, q.\nAnswer: -5, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 - 3*w - 4. Let s be t(-1). Let x be s\/(-3) - 350\/(-42). Solve -q + 4 = x for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 6, d: 6}. What is prob of picking 3 u and 1 d?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h = 5*m + 3318429 + 7359151, h - 889804 = -m. Round h to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -17*g**2 - 2*g + 2. Let w(f) = -33*f**2 - 5*f + 5. Let h(c) = -2*w(c) + 5*y(c). Let k(t) = -t. Determine h(k(a)).\nAnswer: -19*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35551 is divided by 3231.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8824, 17801, 26782, 35767, 44756?\n\"Answer: 2*s**2 + 8971*s - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*(-6)\/42*7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31691?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 400*g**3 - 482*g**2 + 959*g**2 - 477*g**2 + 783*g**3.\nAnswer: 1183*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1360\/6201 + -2\/689. What is the second biggest value in h, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 116*g**2 + 17 - 108*g**2 - 18 + 36 + (g + 0*g - 2*g)*(0*g + 0*g - g) in the form y*g + x + r*g**2 and give x.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (2 - (6 - 5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -5*d + 4. Let f(x) = 3*x + 1. Let o(r) = -r - 1. Let y(g) = -f(g) - 2*o(g). Let z(h) = t(h) - 4*y(h). Let w(l) = -2*l**2. Determine z(w(v)).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -158102 - 2710226\nAnswer: -2868328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-306)\/(-15) - (-8)\/(-20). Calculate the remainder when (24\/12)\/(2\/m) is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -352*z. Let o(p) = -p**2 + 2. Give o(h(q)).\nAnswer: -123904*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18 in 0.4, -3, -2, 19, -1\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13771238*s**2 + 3973207*s wrt s?\nAnswer: 27542476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38962 and 11165?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 5\/8 (b) 2 (c) -4 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32593 by 4.\nAnswer: 32593\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v**4*v*(v**(1\/5)*v)\/v)\/(((v*v\/v**(-1\/3)*v*v)\/v*v)\/v*v*v\/((v**8\/v)\/v)*v*v*v) assuming v is positive.\nAnswer: v**(73\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -7*x**3\/9 + 52285*x**2\/9 - 67214*x\/9 + 14936\/9 = 0.\nAnswer: 2\/7, 1, 7468","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 23*j**2 - 103*j + 3059. Determine i(24).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 452875274.\nAnswer: 2, 17, 151, 88211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 655.16921 to zero dps.\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43466847.\nAnswer: 3, 41, 353389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -83.96 to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 120, 438, 962, 1686, 2604, 3710, 4998, 6462?\n\"Answer: -a**3 + 109*a**2 - 2*a + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 4) to base 15.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9428*z**3 + 18807*z**3 - 9387*z**3.\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -377.7 + 383. Let f = 74583.2979 - 74578. Let d = a - f. Round d to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1067818.\nAnswer: 2, 533909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 737*x**5 - 391*x**5 - 373*x**5 + 2*x - 8*x - 10 wrt x?\nAnswer: -540*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*i + 28 + 212. What is the greatest common divisor of 520 and i?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2604b4 (base 12) to base 2.\nAnswer: 10011000000011001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -2, 6 in decreasing order.\nAnswer: 21, 6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 898365 or 898363?\nAnswer: 898365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -60 - -42. Let f be (-1 - 0)\/(6\/g). Let c be 3 + 1*590991\/f. What is c rounded to the nearest 10000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of 0*v**4 - v**2 + 2*v + 0 + 0*v**3 - 1\/60*v**5. Let t(f) = -2*f**2 + 82*f. Give t(o(y)).\nAnswer: -2*y**4 - 82*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 35393 * -6228.\nAnswer: -220427604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 58 - 61. Let l be (-2)\/d - 34\/51. Solve 2*v = -4*c - 0*v, 3*c - v = l for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5947 times -210\nAnswer: 1248870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 399.\nAnswer: 1596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 62822891\/46935 + 246\/5215. Let o = g - 1337. Are 3 and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, e: 1, n: 1, s: 5, q: 3}. What is prob of picking 1 q and 1 e?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/6*4\/(-3). Let x(q) = 30*q**2 - 14*q**z + 5*q**3 + q**3. Let w(n) = 2*n**3 + 5*n**2. Suppose 2*m - 3*m = 16. Determine m*w(u) + 5*x(u).\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k - 10. Let s be n(4). Let w be (-4 + (-22)\/(-6))*s. Let i = 1 + -4. What is the smallest value in i, 2\/5, w?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 5:23 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 7:02 AM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(425) + 3*(sqrt(425) + -1) + 4*5*sqrt(153))**2.\nAnswer: -1440*sqrt(17) + 326427","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 9:05 PM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*o - 1 + 2 - 1 to k + w*o and give w.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 815*z**2 - 2694*z**2 + 1089*z**3 - 99*z**4 - 1450*z**2 + 3*z**5 - 664*z**2 = 0.\nAnswer: 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7154 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 100 = m. Let i be (-2)\/(-2) - 22\/m. Do i and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**5 - 228963*x**4 - 1373803*x**3 - 2518653*x**2 - 1373814*x = 0. What is x?\nAnswer: -3, -2, -1, 0, 228969","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 30 = 5*i, 4*i = j - 10 - 14. Let g be (27\/i)\/(-3)*2. Suppose -2*k - w = -2, -g*k - 3*w = -0*k + 3. Solve -r = 5*d - 15, -3 = -k*r - 18 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34 + -31. Let c(q) = q**3 - 5*q**2 - 4*q - 8. Let p be c(6). Factor -11*z**3 - 12*z**2 - z - t*z + 8*z**3 - p*z**4 - 9*z**3.\nAnswer: -4*z*(z + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((3608\/(-32))\/(-41))\/((-7)\/28)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 7*y**3 - 4*y**2 + 4. Let v(r) = -6*r**3 + 5*r**2 - 5. Let u = 476 - 471. Determine u*l(g) + 4*v(g).\nAnswer: 11*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 6*u = 80. What is the greatest common divisor of u and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 194213 and 296.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 6, 7, -4\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*2*sqrt(168)*-4)\/(2*(sqrt(216) - (sqrt(216) + sqrt(216) + 5*-3*sqrt(216)))).\nAnswer: -4*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -5*x + 3*x + x. Let b = 7 + -10. Calculate the remainder when 8 is divided by i(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 57*g - 17*g + 89 + 671 for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + p = -16254, 6506 = 2*z - 0*z + 4*p. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence npp when three letters picked without replacement from nnnpnnnnpnnnnnnpnn?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1101001 - 11?\nAnswer: -1101012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 + 31. Suppose 4*j - 2*c - 124 = 0, -3*j - 2*j + 173 = k*c. Let r = 34 - j. What is the remainder when 1 is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -98.75? (a) -2 (b) 4\/3 (c) -4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -133, -116, -89, -46, 19, 112?\nAnswer: 239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -253, -223, -195, -169, -145, -123, -103?\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(272) + 1 + (2 + sqrt(272))**2 + 5.\nAnswer: 12*sqrt(17) + 282","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 t when two letters picked without replacement from {x: 1, t: 2, g: 1, y: 2, k: 2, i: 4}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 PM and 10:59 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 400 from 15.\nAnswer: -385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a kilogram in grams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96438341.\nAnswer: 96438341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + 19. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1027 and -91.4.\nAnswer: -9.38678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 124 + 4?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3333.\nAnswer: 3, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**2 + 2 + 10 + 0 + 8*i + 25*i + 9*i to the form w*i**2 + n + j*i and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 - -36. Suppose -12 = 5*m - m, -4*m = 5*g + 537. Let y be 0 - (-4 + g + 1). What is the highest common factor of n and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15848216*n**2 + 41*n + 101035 wrt n.\nAnswer: -31696432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110111001011101 - -11001?\nAnswer: -110111001000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 0 + 1)*(2 - 2 - 2*b**2) + 3*b - 3*b - 2*b**2 + 0 - b**2 + 0)*(110*b**3 + 6*b**3 + 5*b**3).\nAnswer: 121*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-150)\/(-180) - 41\/6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5481933 <= -1\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 80 and 165710?\nAnswer: 1325680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.21 + -0.08. Let v = x - -4.87. Sort -0.1, 2\/9, v.\nAnswer: -0.1, 2\/9, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -4, 730 in decreasing order.\nAnswer: 730, 15, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.02 - 6. Let g = 3.98 + p. What is the second smallest value in g, 1\/3, -4\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/373068 and 125\/112788.\nAnswer: 4849884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9642.\nAnswer: 2, 3, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.678364 decades to centuries.\nAnswer: 0.0678364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187253 is divided by 301.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 446410.2mg?\nAnswer: 446.4102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 7 = 5*s, 141061956 = 3*s - 6*l + 141061995 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 59 - 98 - ((-7)\/1 - (25 + (-8 - 14)))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of g**8\/320 - g**7\/168 - g**6\/15 - g**5\/10 - g**4\/12 - g**2. Let h(u) be the second derivative of a(u). Factor h(s).\nAnswer: 3*(s - 2)*(s + 1)*(7*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -250 + 59 + 0*h**4 + 2*h**4 + (4*h**2 - h**2 - h**2)*(6*h**2 - 2*h**2 - 3*h**2).\nAnswer: 4*h**4 - 191","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**4 - 54*m**3 - 829*m**2 - 2700*m - 2500.\nAnswer: -(m + 2)**2*(m + 25)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) 3 (c) -4\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10191*p**5 + p**3 - 20110*p**2 + p - 1?\nAnswer: 611460*p**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 e when two letters picked without replacement from ecjcrccrbc?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + y - 4*y = -74, -i + 3*y + 11 = 0. What is the remainder when i is divided by (-1)\/(20\/(-8))*25?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (1 + 4 + -6 + 0)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 75 + -1 + 1 - ((-16 - -12 - 21) + 36)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 29067 and 8.\nAnswer: 232536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3802664?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = 1 + 11 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 1) + -4 - 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 22*c**3 + 0*c - 5*c**2 + 2*c - 21*c**3 - 4. Let n be (3 - (-21)\/(-9))\/((-2)\/(-15)). Give v(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 50*i**2 + 36*i - 247. Is q(21) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34324271431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 18\/(-3 + (-8)\/(-4)). Let i be ((-6)\/4)\/(9\/o). Solve i*y + 2 = 14 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/2 of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11999 and 497.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 14*c**2 + 10 + c**3 + 0*c**3 - 4 - 8*c. Let k be u(-14). Let a(w) = k + w - 118. Let d(l) = -4*l. What is d(a(o))?\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127*p**2 - 49*p**2 - 74*p**2.\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 290 a factor of 4091763659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 186295?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16948 and 589.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 7*j**2 + 9*j + 12. Let n be (-261)\/18 + 14 - 11\/4*2. Give d(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11395759 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.4 - 0.4. Let d = 651 - 287.9. Let k = d + -363. What is the nearest to k in -0.1, a, 8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 8:02 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*m + 461 = 251*m - 8467 for m.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + 6*m - 1. Let u be n(5). Let x(y) = 6*y - 4. Let i be x(u). Calculate the smallest common multiple of ((-6)\/6)\/((-2)\/i) and 3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - f = 5*v + 141025, 0 = 3*v + 15. What is f rounded to the nearest 10000?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -71240 (base 8) to base 6.\nAnswer: -343504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1230133357 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -319 + 331 = 2*d for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1888938.\nAnswer: 2, 3, 17, 6173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*a - 43*a = -20. What is the remainder when a is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.94 plus -21.4?\nAnswer: -2.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -1473, 1 in decreasing order.\nAnswer: 1, 0, -5, -1473","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/11, 5, -35, -0.1, -2, -3 in decreasing order.\nAnswer: 5, -0.1, -8\/11, -2, -3, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -699*r - 15246 = 131*r - 230*r + 22554 for r.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 223252?\nAnswer: 2, 55813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32025?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/3*(3 + 216). Suppose -2*z + 2*n + 293 - 31 = 0, -z = 4*n - p. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of -36*w + 0 + 0*w**2 + 11\/2*w**3. Let g(x) be the third derivative of x**5\/30 - 2*x**2. What is g(a(i))?\nAnswer: 2178*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**2 + 137068*k + 2348454578 = 0. What is k?\nAnswer: -34267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 7 = -8. Let q(r) = -2*r**3 + r**2 + 3*r + 3. What is the tens digit of q(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -79 or -88?\nAnswer: -88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-70)\/(-6) - 12)\/(-3*55\/180).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4*3\/(-42)*35\/(-15). Factor -2\/3*i + b*i**3 + 0 + 0*i**2.\nAnswer: 2*i*(i - 1)*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*j - 5*j + 136. Let g = j + 104. Let v = g + -42. Does 25 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 730260809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1\/57)*((b*b**(-3)\/b*b)\/b)\/b assuming b is positive.\nAnswer: b**(-229\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 480 = -8*q. What are the prime factors of q?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.9? (a) 5 (b) 0.07 (c) -281\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 5*w = 12, 5*v + 5*w = -11 - 4. What is the tens digit of (-1)\/2*(-35 - v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 87 - 39. Calculate the greatest common factor of 16 and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*h = -583*h + 128*h - 37310 for h.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -272 divided by -4?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1705491 to the power of 1\/2, to the nearest integer?\nAnswer: 1306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2504*j**3 - 2756*j**3 - 2726*j**3 + 7988*j**3.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 4*j**2 - 3. Let d be w(-3). Suppose d = 2*u - 36. Does 11 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bza when three letters picked without replacement from aaaammmzmbmabamba.\nAnswer: 7\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of 11*m**3\/6 + 3*m. Calculate the smallest common multiple of h(1) and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 560 and 66.\nAnswer: 18480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - 8*l - 7. Let r(u) = -3*u**2 + 23*u + 20. Give 17*p(t) + 6*r(t).\nAnswer: -t**2 + 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 148, 328, 626, 1042, 1576, 2228, 2998?\nAnswer: 3886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4.3 (b) 1932 (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 240191.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 43 - 5 - 23 - 11*n**3.\nAnswer: -11*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12112778?\nAnswer: 2, 29, 97, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/2)\/(2\/(-4)). Let i be ((-5)\/3)\/(l\/3). Suppose -n - n = -i*h + 33, 2*n = 2. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/((-128)\/(-8))*10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 680377886 to the power of 1\/4, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14285, -14389, -14499, -14615, -14737, -14865, -14999?\nAnswer: -15139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 6 (b) -5 (c) 6.2 (d) -3\/23 (e) -2\/9 (f) 8.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/828 and 20\/67?\nAnswer: 55476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - 4*k - 2. What is t(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**2 + 2*x**2 - 2*x**2)*(-4 - 13 + 1).\nAnswer: -16*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100221 is divided by 32324?\nAnswer: 3249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -7*m - 156. Let z be h(-23). Suppose 0 = p - z*p + 2108. Does 10 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 26\/8 - 231\/132. Which is the second smallest value? (a) w (b) -1 (c) 2\/5 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37*g - 600*g - 172*g)*(2 - 2 - 1)*(g**2 + 3*g**2 - g**2).\nAnswer: 2205*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9613481 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 42 = 0, 9503*p - 2*m - 21 - 4 = 9504*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*h**5 + 66*h**4 - 66*h**4 + (-3 + 3 + 2)*(-2*h**5 + 3*h**5 + h**5).\nAnswer: 12*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -13425\/8 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of h**7\/105 - h**6\/60 - h**5\/10 + h**4\/12 + 2*h**3\/3 - 23*h**2. Factor v(c).\nAnswer: 2*(c - 2)*(c - 1)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 - 2*r**2 + 6*r**2)*(2 - 2 - 3*r + (-2*r + 0*r + 0*r)*(2 + 0 + 0) - 6 + 6 - 3*r) - 4*r**3 + 7*r**3 - r**3.\nAnswer: -18*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + q - 552 = 0. Suppose 0 = -4*g - 0*g + q. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (127037 - 14) + -1*3. Suppose -5*s = -9*s - j. Let r = s + 46555. What is r rounded to the nearest one thousand?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 3 = m + 10, 0 = -m - 5*r + 17 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1296560, 2593133, 3889718, 5186321, 6482948, 7779605, 9076298, 10373033?\n\"Answer: v**3 + 1296566*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*b**3 + b**3 + 49*b**2 - 61*b**2 + b - 3*b to the form a*b**2 + o*b**3 + v*b + r and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 120272749 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3368875 = -2*n + 71470725. Suppose 0 = -2*d + n - 12021096. Suppose -2*w + d = -3100648. Round w to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -61*i + 854. Let b be m(14). Solve -s - 18 = 4*d, b*d = -3*d - 5*s - 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-11))**(2\/47) assuming p is positive.\nAnswer: p**(-22\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -4\/11 (c) -0.5 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -7*h + 2. Let u be n(0). Let z be 5*(4\/10 - u\/(-5)). Suppose t + 2*b - 9 = z, -t - 15 = -5*b. Solve -11 + 1 = -t*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -98 + 175. Suppose 13*n - 160 = 5*n. What is the remainder when v is divided by n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 16 = 4*i, 46*i - 79 = -4*i - r + 172 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 78*a - 3*a**2 - 78*a - 5 as l*a + w*a**2 + f and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -240*m**3 + 127*m**3 + 115*m**3.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -408887*m**4 - 52*m**2 - 69694768*m?\nAnswer: -4906644*m**2 - 104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*t - 9 = 53*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 19*s - 434. What is v(22)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 4*o**2 + 10*o. Let f(x) = -2459*x**2. What is m(f(h))?\nAnswer: 24186724*h**4 - 24590*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -53*u - 473. Let z be d(-9). Solve -i = -z*i - 3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -8\/462181?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (250 + -195 - 29) + (1 - -42).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 0. Let z(t) = -2 + 3*t - t**2 - t**y + t**2. Give z(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ebk when three letters picked without replacement from {m: 1, c: 1, b: 2, k: 1, y: 1, e: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jgg when three letters picked without replacement from grsyyjkrkrkkggjkykr?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -27980 rounded to the nearest 100?\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 76803?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003796 rounded to 7 dps?\nAnswer: 0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (100\/(-40))\/(15\/24)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g - 5. Give h(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 0 + (-5 + 9 - -9).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 plus 194538?\nAnswer: 194537.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 10 = 3*d + 5*n, 5*n + 25 = 0. Suppose -o - 2*o + 3 = d. Suppose 2*b - 4*z = -5*z + 5, 18 = 5*b - 3*z. Which is bigger: b or o?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 3\/85, 1\/2, -2\/3, -2?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1039 + -1034. Let i be (3\/4)\/(2\/24). Let o = i + -4. Do l and o have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -25502441 + 6?\nAnswer: -25502433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2*o + 2*j = 34, 4*j + 4 = -2*o. Let w = o + 4. Let h(l) = l**3 + 2*l**2 - 6*l. Let y be h(2). Which is the biggest value? (a) w (b) y (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.2, -5, 1\/3, 2\/35, -3\/37, 1?\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 199.104042 rounded to two dps?\nAnswer: 199.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 16*w**2 - 30*w - 23. Let t be p(-14). Suppose -t*b + 1 = 4*y - 34, -5*b = 5. Suppose 5*z = y*z - 10. Solve 0 = j - z*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 286710 and 3990?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 239 divide 281038666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pxqp when four letters picked without replacement from {p: 4, x: 3, q: 4}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of -z**7\/210 + z**6\/50 + 3*z**5\/50 - z**4\/6 - 7*z**3\/10 - 9*z**2\/10 + 9*z. Factor l(a).\nAnswer: -(a - 3)**2*(a + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2071883?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (21\/35)\/(1\/10).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 231 and 924?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20234 - 3?\nAnswer: 20231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - 2*y + 50. Calculate i(0).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 823 - 818. Which is the smallest value? (a) 5\/2 (b) g (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -9248*b**3 + 4*b**2 - b - 2. Suppose 2*k - 27 = 3*k. Let a be 64\/(-36) + 6\/k. Let j be q(a). Round j to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -122b25 (base 13) to base 10\nAnswer: -434699","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 5*b**2 + 37*b + 15. Let c be y(-7). Let g be -3 + 2 + 154\/208. Let d = g + -3\/26. What is the closest to c in -3, -1\/2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*4*sqrt(1088))**2.\nAnswer: 17408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/5 of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 l when two letters picked without replacement from obbobbbloolblbol.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 4) to base 9\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4351 and -8827539454.\nAnswer: -8827535103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = -2, -t - 1 - 2 = 9372*b - 9371*b for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47*q + 55*q + 20*q**2 - 102*q to the form l*q + a*q**2 + p and give a.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.59 + -2.19. Let c = -4.9 + 5. What is the closest to 4 in 1\/3, x, c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 108 + -108. Let q(n) = -2*n - 4. Calculate q(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2. Let c(w) be the first derivative of w + 2 + 1\/6*w**3 + 0*w**2. Let n(q) be the first derivative of c(q). Calculate n(k(j)).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1791 = 3*x + 3*f - 477, 0 = -x + 3*f + 768. Let p = x - 1113. Calculate the remainder when p*(1 - 2)\/3 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + -8 + 28 + -1 + 67 + -10 - -8?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 + -5. Does 14 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3*1\/3 - 125) + -4. Let z be -1*((-37)\/13 + 20\/p). Suppose 2*j - z*c = -0*j + 31, -j + 3*c + 23 = 0. Solve -2 = 6*r - j*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 132 + -28. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3 + 65*i**2\/2 + 241*i + 1035\/2.\nAnswer: (i + 5)*(i + 23)*(2*i + 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8.67 + 16.33. What is the second smallest value in 0, -4\/7, r, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) 5 (c) 2\/11 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -4 + sqrt(17) + sqrt(612)*3)**2.\nAnswer: -342*sqrt(17) + 6218","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5724 + 2365 + 298 - 4136)*(2*w**4 - w**4 - 2*w**4).\nAnswer: 7197*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -20. Let t = o + -19. Let g = t - 2. What is the smallest value in -2\/3, -0.05, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -630, -2540, -5724, -10182?\n\"Answer: -637*a**2 + a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -16 - 9*x**3 - 2*x**2 - 13*x**2 + 10*x**3 + x - 6*x**2. Let d be k(21). Solve -5*i - d = -3*m, m - 4 = 6*i - 2*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 10 = -5*q, n = -2*n + 6. Which is greater: q or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of -v**9\/15120 - v**6\/144 - v**5\/12 - 8*v**2. Let x(p) be the third derivative of q(p). What is the derivative of x(a) wrt a?\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkknkkkkkkkkkkkkk. What is prob of picking 3 k and 1 n?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8673029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.3 - -1.5. Let x = -0.34 - -0.04. Let d = i + x. Is 8 equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21210 divided by -4242.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g + 1. Suppose 2*j + 577 = 575. Determine l(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 16) to base 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(-9)*k))\/k**(2\/41)*(k**(2\/7))**(-5\/17) assuming k is positive.\nAnswer: k**(43263\/4879)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (((-50)\/(-8))\/(-25))\/(2\/12)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -58 (base 10) to base 8.\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -202652\/7 - -28885. Let z = j - -65. What is the closest to z in -2\/3, 1\/8, 3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -3 + 5 + 2*y - 10 + 1. Let v = -3 + 8. Is j(v) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 4 = 2*r, -50*a - 4*r + 45 = -36*a + 9 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/5488368 and -53\/25176?\nAnswer: 5488368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8 (b) 0 (c) 1.33 (d) 1\/7 (e) -1.7 (f) 4\/5 (g) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 717 - 589. Is x a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -17*l**2. Let q = 32 - 48. Let o be 36\/16 + (-28)\/q + -1. Let s(h) = o*h + 8*h - 15*h. Give s(k(i)).\nAnswer: 68*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/93184 and 113\/116480?\nAnswer: 465920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-69)\/(-15) + (13 - 18). Which is the smallest value? (a) 21 (b) -0.5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/9*3\/(-1). Let p = d - 0. Calculate the remainder when 4 is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 4*b**2 - 17*b + 64. Let n = 131 - 125. What are the prime factors of k(n)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 + w**2 + w + 1. Let p(k) = 2*k**3 + 7*k - 1. Let u(t) = p(t) - 3*q(t). Determine u(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 1407 = 2637. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 - 14*p**2 + 8*p + 19. Calculate v(12).\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-91)\/35 + 1)\/((-2)\/110). What is the highest common factor of 22 and j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6931 and -3042.\nAnswer: -21084102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) - -3*sqrt(152)*5)*-3*5)\/((sqrt(8) - (sqrt(8) - 2*sqrt(200))) + 1*sqrt(1152)).\nAnswer: -120*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 31*q + 4*q**2 - 31*q. Let g(t) = -3*t. Let v(f) = 4*f. Let k(w) = 6*g(w) + 5*v(w). Give b(k(i)).\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -345.03 and -29061.7765?\nAnswer: 28716.7465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jlri when four letters picked without replacement from {j: 3, z: 1, i: 1, o: 1, r: 5, l: 1}?\nAnswer: 1\/792","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 2*b + 5 + 11, -q = 5. Sort 19, b, 0 in decreasing order.\nAnswer: 19, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*y - 77 = -152 - 685 for y.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3156 and 4038948?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3c99 (base 15) in base 16?\nAnswer: -32a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15158 + 1011?\nAnswer: -14147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (128\/(-720))\/((16\/36)\/(2\/(-3)))?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-26) + 84\/39 + 5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/75 of a week in seconds?\nAnswer: 16128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1319364.\nAnswer: 2, 3, 67, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t\/t**(-2)))**(-31)\/(t\/((t*t**(2\/3))\/t))**(-27) assuming t is positive.\nAnswer: t**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of d**4\/6 - d**3\/6 - d**2\/2 + 4*d. Let s be (-2)\/1 + 10\/2. What is the least common multiple of 14 and f(s)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of -1\/2*t**2 - 1\/6*t**3 + 3*t - 4. Calculate p(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1416 + -1423 - (-3 + -42 - -4)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**3\/5 - 471*z**2\/5 + 11139*z - 11045 = 0.\nAnswer: 1, 235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11380*l**4 - 26*l wrt l?\nAnswer: -136560*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -274 divided by 203981\nAnswer: -274\/203981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5 + (3*sqrt(3))**2) + sqrt(36)\/sqrt(192)*3.\nAnswer: 3*sqrt(3)\/4 + 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.32871km in millimeters?\nAnswer: 71328710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-45 - -45)\/(0 + 1 - -1). Solve 4*n + 2 + 2 = a for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(1377) + 1 - (-1 + sqrt(17) - sqrt(17))*4*4)*5 + 2 + 1)**2.\nAnswer: 7020*sqrt(17) + 40509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*s - 3 + s + 4*s + 4 wrt s?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of -b**4\/12 - 7*b**3\/6 + 5*b**2. Let t be i(-6). Calculate the highest common factor of t and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/((-24)\/12))\/(2\/36)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -1. Suppose 5*f = 3*f - 10. Is v < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 4. Suppose 0 = -5*w - r + 165, x*r + 66 = 2*w + 3*r. Is 6 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13012141 (base 6) to base 10.\nAnswer: 421693","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 + 3*k**2 - 3*k + 1. Let v be r(-4). Let h = v + 7. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x + 4. Let m be v(-6). Calculate the highest common factor of m and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2943, -2944, -2945, -2946, -2947, -2948?\n\"Answer: -n - 2942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y**2. Let j(l) = 4131279*l. Determine j(w(s)).\nAnswer: -8262558*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14.088 - 32632328.\nAnswer: -32632342.088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 4*y + 10 = 0, 4*l - 24 = 2537216*y - 2537206*y for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 7 = j, 15 = 5*a + 5*j - 0*j. Suppose -26 = -a*h + 2*r, -3*r + 33 = -h + 4*h. What is the greatest common divisor of 3 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + 11*f**2 - 7*f - 21. Let d be h(10). Let a = -10 + d. Let s be (((-15)\/(-6))\/(-5))\/((-10)\/a). Is 0 <= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 23*r - 22*r - 15*r. Let z(a) = a**2. Calculate n(z(g)).\nAnswer: -14*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 33*d*s + 17020*d - 24*s wrt s?\nAnswer: 33*d - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 10:44 AM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -116, 2, -3, -1140, 0, -1.\nAnswer: -1140, -116, -3, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 12.1. Let f = 0.100144 - t. What is f rounded to five decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of h**4\/4 - h**3\/6 - 257*h**2\/2 - 2*h + 502. Let s(f) = f**2. What is t(s(y))?\nAnswer: 3*y**4 - y**2 - 257","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -31.431 and 32?\nAnswer: 63.431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (145 - 823 - 161)*(0*c**2 + c**2 + c**2) + (-c - c + c)*(-c + 1 - 1) as v + k*c**2 + h*c and give k.\nAnswer: -1677","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((416\/(-26))\/32*14\/10)?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -333 (base 16) to base 2.\nAnswer: -1100110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 + 57*h + 837. What is m(-32)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 4*y - 19, -2*y + 3*u + 6 = -1. Which is the nearest to -1\/4? (a) 0.3 (b) y (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 104*m**2 - 8*m**2 + 34*m**2 as d*m**2 + a*m + j and give d.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7605.65 + 7766. Let b = g + -31.05. Let q = 99 - b. Round q to the nearest integer.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, 0.1, 8 in increasing order.\nAnswer: -4, 0.1, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -1719*t + 152959. Calculate k(89).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1697468 is divided by 1684.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 11*h = -15*h + 1214, 4*u = 5*h + 4814. Is 13 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -356604*o**2 + 356598*o**2 + 0*o**3 - 20*o**3.\nAnswer: -20*o**3 - 6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 8*m**2 - 6*m + 4. Let i be k(-7). Let p be 3 + (-3 - i)\/3. Suppose w + p = -2*t + 2, -25 = -5*w - 4*t. Is 2 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193747050923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-71)\/(-60) + 1\/(-4). Let p = -3\/5 + g. Let n = -65 - -64. Which is greater: n or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 55*n + 80*n + 92*n in the form v + r*n and give r.\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -370.2 and 1.50389.\nAnswer: -556.740078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 11*g**2 - 11*g - 6. Let b(y) = 10*y**2 - 10*y - 5. Let h(z) = -6*b(z) + 5*m(z). Find x, given that h(x) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -9*g + 10*g. Let z be -64*(10\/(-4) + -2). Let r = g + z. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x - 9*x + 16 = 0. Suppose 3*c = -c. Let p be (10\/8 - 1) + c. Which is greater: p or x?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2. Suppose 5 = 2*a - d + 1, -a = 4*d + 7. Let c(s) = -20*s**2. What is a*c(r) - 15*m(r)?\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (24\/54)\/((-18)\/3)\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -257, -739, -1243, -1781, -2365, -3007?\n\"Answer: -2*d**3 + d**2 - 471*d + 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v - 7. Let h(b) = -3*b**2. Give h(w(n)).\nAnswer: -12*n**2 - 84*n - 147","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 3476 = -4*g, b = g - 3*b - 890. Suppose -r + 4*n = -69 - 125, 5*r + 4*n = g. Suppose -x + 3*x = r. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from fofoooffofoofooofoff?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4064.7339 rounded to the nearest one hundred?\nAnswer: 4100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-72)*141 + (-12)\/36?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(7\/5)*((g*g*g\/g**27*g*g*g)\/g)\/g*g*g)**46)**(-1\/2) assuming g is positive.\nAnswer: g**(2254\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2d (base 16) in base 8?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t**2 - 6. Let p(k) = k**3 - k**2 - k + 7. Let q(i) = -3*b(i) - 2*p(i). Suppose q(j) = 0. What is j?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -45*z**2 - 12*z + 3. Give o(1).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2. Let p be l(1). Let t be (-1)\/(-2 - (p + 0)). Let f = 2 + t. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/26 + (294\/286 - 1). What is the closest to 3 in 1\/5, -2, n?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 14\/55 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23248 by -4.\nAnswer: -5812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 373?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = -4*y - 17. Let j be ((-36)\/y)\/((-2)\/(-5)). Solve -m + j = m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49579601317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -239 - -302. Calculate the smallest common multiple of y and 8.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/6 and 49\/46916?\nAnswer: 140748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*u + 166*u - 4341 + 687 for u.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002337304 to 7 decimal places.\nAnswer: 0.0000234","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 d when two letters picked without replacement from gfddgdg?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3\/11 - 838894*q**2\/11 - 38585950*q\/11 - 443726258\/11.\nAnswer: -2*(q + 23)**2*(q + 419401)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 828232091 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 619018899.\nAnswer: 3, 3191, 64663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13 and 637?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 4*d**2 - 27*d - 4. Let j(f) = 9*f**2 - 53*f - 7. Calculate 4*j(g) - 7*x(g).\nAnswer: 8*g**2 - 23*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(0 - (-3 + 1)). Let t = 5 - 9. Let s = -8 - t. Put s, 0.4, k in descending order.\nAnswer: k, 0.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1273983 or -1273989?\nAnswer: -1273983","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2024 - -3548. Does 55 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 13*i - 12. Is 11 a factor of f(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1526 at most 46975?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64, -136, -234, -358, -508?\nAnswer: -684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4448 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 210 and 385?\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**2 + 2*r**2 - 5*r**2)*(-1 + 1 - 2*r) - 2*r - 2*r**2 + r**2 + 38786*r**3 - 38776*r**3.\nAnswer: 22*r**3 - r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1578?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 54*a*d**3*f**2 - 6*a*d**3*f - 173*a*f**2 + 2*f**2 with respect to d.\nAnswer: 162*a*d**2*f**2 - 18*a*d**2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.9 - -0.1. Which is the smallest value? (a) r (b) 5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 7*u**3 + 2*u**2 - 2. Let q be w(2). Let m = q - 18. Suppose 2*f = 4*f - m. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6314542 is divided by 12309.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yddd when four letters picked without replacement from dtdtydytdt.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 4*b + 0 + 0. Let d(k) be the first derivative of -k**3\/3 + 53. Determine f(d(v)).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1203*z = 1210*z - 966. What is the remainder when 412 is divided by z?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 7*p - 6. What is the remainder when 65 is divided by x(4)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 - 302?\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 8 - 5*c**2 + 10 + 5*c**3 to the form g*c + t*c**3 + y*c**2 + v and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21825131*t**5 + 5*t**4 + 165931*t**2 + 407 wrt t?\nAnswer: 1309507860*t**2 + 120*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.5 or 2.13?\nAnswer: 2.13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 5*b - 3, 2*b - 11 = -3*q - 0*b. Calculate the remainder when q is divided by (10\/(-15))\/(2\/(-6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18015 and 80700?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -5, 0.2, -1\/92, -2\/11, 13?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 43*m**2 - 83*m + 69. Let d be y(41). What is the greatest common factor of 4 and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 5, -5, 3093920, -2\/13, 3 in decreasing order.\nAnswer: 3093920, 5, 3, -2\/13, -2\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 9, t: 5, u: 2}. What is prob of sequence nt?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, -12, -35, -76, -141, -236, -367, -540?\nAnswer: -761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-9)*-1)\/(24\/(-63936)*16).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -33511101 (base 6) to base 15\nAnswer: -15243a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yeuyrurryy. Give prob of picking 1 y and 1 e.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x - 7. Let t be f(-8). Let p(l) = 3*l - 13. List the prime factors of p(t).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 63 + 557 = 0. Let r = o - 84. Calculate the remainder when r is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19015959 - -0.041.\nAnswer: 19015959.041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of -4*r**7\/21 + r**5\/4 + 311*r**4\/4 - r**3\/3 - 16*r + 68. What is the third derivative of d(w) wrt w?\nAnswer: -480*w**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 103459?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 4*w. Let o(q) = -11*q + q - 5*q**2 + 5*q + 5*q. Determine z(o(l)).\nAnswer: -20*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/(-28) + (-9)\/(-7). Suppose 3*t + y = x - 1, 10 = -5*x - 5*t. Does 2 divide 4\/(-12)*(x - 11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = -2*h + 104. Does 13 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - -3 - (-154)\/(-44). Factor 3\/4*c + 1\/4*c**2 + n.\nAnswer: (c + 1)*(c + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12240118 by 101158.\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 191372759 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2585765\/72 + -35914. Find the common denominator of x and -21\/26.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-480)\/360*1*(-12)\/(-56)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 923228045 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 + 14*z + 9. Let k be n(14). Suppose 12*p = k*p + 12. Let h(f) = 16*f**2 + f. Calculate the remainder when h(-1) is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 213878507 to the power of 1\/5, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 15, g: 5}. What is prob of sequence rg?\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1016\/168)\/((7475\/1365)\/115)?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-44)\/6*(-22 + 16). Suppose s = n - 43. Let t be -4*((-2)\/(-4) - 1). Put -4, s, t, 3 in increasing order.\nAnswer: -4, s, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 5 = -9. Suppose -3*w + 332 = 5*i, -205 = -3*i + y*w - 3*w. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*w = -28*w - 38. Let f(z) be the third derivative of 0 + 0*z + 2\/3*z**3 + z**w - 5\/24*z**4. Differentiate f(m) wrt m.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 - 47*h + 318. Calculate r(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**2\/t*t))\/t*t*(t\/t**5*t)\/t*(t**1)**(-39))**(-2\/23) assuming t is positive.\nAnswer: t**(88\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 315 divide 166570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60 divided by 12.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 + 1\/((-6)\/30))*(-7 + 0). Solve -4*u - t = -10 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1\/6, -40\/3, 3, -2\/17 in ascending order.\nAnswer: -40\/3, -5, -2\/17, 1\/6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2*r**2\/19 + 1138*r\/19 - 4584\/19 = 0.\nAnswer: -573, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -2, 4, -200663, 0, -5 in decreasing order.\nAnswer: 5, 4, 1, 0, -2, -5, -200663","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 651*j**2 + 4844. Let h(y) = 65*y**2 + 1. Determine c(a) - 10*h(a).\nAnswer: a**2 + 4834","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.24 - -4.94. Which is the third smallest value? (a) -0.2 (b) 1.3 (c) 14 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (5 - (5 + (-3 - -1)))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 78391 by -5562.\nAnswer: -78391\/5562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -231 + 172. Let a = 156 - v. What are the prime factors of a?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 871 - 868. Put -3, 13, o, -2 in decreasing order.\nAnswer: 13, o, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/3)\/(6\/(-9)). What is the third derivative of 8*x**3 + x**2 - 8*x**3 + z*x**5 - x**5 wrt x?\nAnswer: 180*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*d - 348 + 60 = -d for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1830 (base 15) to base 4\nAnswer: -1101210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 202 (base 3) to base 15\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (4*(sqrt(252) - (-3 + sqrt(252)*2) - (-5 + sqrt(252) + -1 - sqrt(252))))**2*4 + -3)*1.\nAnswer: -6912*sqrt(7) + 21305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 626471 and -0.04.\nAnswer: 626470.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.381 - -0.619. Which is greater: -10 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 82*f**2 - 127*f - 197. List the prime factors of i(-16).\nAnswer: 3, 7, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -30*w**3\/7 + 6622904*w**2\/7 + 3532222*w\/7 + 441528\/7 = 0. Calculate w.\nAnswer: -1\/3, -1\/5, 220764","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + s + 0)*(1 + 2*s**4 - 1) + 137*s - 137*s + 12*s**5 - 2*s**5 - s**5 + 2*s**5.\nAnswer: 13*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16.318 - -17.318. What is the closest to 0.39 in h, -2\/13, 1\/2, 2\/13?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 2, -2\/5, 2\/165 in descending order.\nAnswer: 12, 2, 2\/165, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4641219 + -6?\nAnswer: -464121f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11631.7903 - -11638. What is s rounded to 0 decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 + 3*m**2 - 5*m**2)*(260 - 119 + 115)*(-m + 0*m + 2*m).\nAnswer: -768*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -7454 minus -0.58623954?\nAnswer: -7453.41376046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 10, 6, 0.4, 2, -30, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -35 - 4?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 116 = -4*u + 56, -5*u - 4*i = -242. What is the greatest common divisor of u and 414?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v*v**(-3\/2)*v)\/v)\/(v\/(v**(-3\/8)*v)))**14*(v**(-4)\/((((v*v*v**(-2)*v)\/v)\/v)\/v))**(3\/5) assuming v is positive.\nAnswer: v**(11\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 - 8*g - 31. What is the units digit of c(12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 58967 + -1b2?\nAnswer: 58785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12102 + 10?\nAnswer: -12042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2*w + 0)*(39 + 84*w - 39) to the form b + n*w + g*w**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*r - 76*r + 4746 = 0. List the prime factors of r.\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98701?\nAnswer: 89, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 0 - z - 9 + 6. Give u(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (9 - 18) + 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -9. Suppose 4*z + 5*x = -12, -2*z + 2*x - 32 = z. Let a = z + 12. Solve l*s = 4*i + 16, -3*s - i = 2*s + a for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rruu when four letters picked without replacement from {u: 5, r: 9}?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 14*z. Let b(j) = -55374*j**2 + 5*j. What is r(b(d))?\nAnswer: -775236*d**2 + 70*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*s + d + 17, 2*d = -4*s + 24. Let n be 0 + -3 - (-16 + 5). Suppose n*v - 90 = 3*v. Is s at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 156\/7 + -3099\/140. Let o = v - -13\/20. Which is the nearest to 0? (a) o (b) -5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.25 + 0.75. Which is the smallest value? (a) -0.4 (b) -0.5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**3 - 2 + 1 + 5*l**4 - 2*l**2 - 3*l**4 to m*l + q + z*l**3 + p*l**2 + w*l**4 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 24 in -0.1, -5, 2, 59\/32?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -4, 7\/246?\nAnswer: 7\/246","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h + 4. Let z be p(-4). Let g(k) = 6*k + 16. Let u(s) = -s - 1. Let m(b) = z*u(b) + g(b). Let c(n) = -7*n + 5. Give -4*c(q) + 5*m(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1466519376?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - k - 2 = -2*k, 4*a - k - 16 = 0. Suppose -5*z - 8 = -a. Is 10 a factor of 36 + (-12)\/(-3)*z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 16*n - 78. Let h be m(6). Calculate the remainder when 11\/(-66) + 4395\/h is divided by 62.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151823 is divided by 520?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of 196\/57*l**3 + 1\/570*l**5 + 0 - 35*l**2 + 0*l - 7\/57*l**4. Factor v(w).\nAnswer: 2*(w - 14)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a + 3712 = -11*a. Let z = a + -1007. What are the prime factors of z?\nAnswer: 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 187041 to the power of 1\/3, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 15 = 39. Suppose -w = v - 14. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -20226*h**3 - 36*h**2 - 9*h - 42547. Let p(g) = -5056*g**3 - 8*g**2 - 2*g - 10637. Let j(z) = 9*p(z) - 2*q(z). What is the derivative of j(m) wrt m?\nAnswer: -15156*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 117934*n. Let d(m) = -44*m. Determine d(k(c)).\nAnswer: -5189096*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -20 + 63?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -1079*y**3 + 275*y**2 + 6*y. Let c(a) = -1088*a**3 + 274*a**2 + 7*a. Let p(v) = -6*c(v) + 7*o(v). What is the third derivative of p(t) wrt t?\nAnswer: -6150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 7. Suppose -2*k = -k - j. Solve -a + k*m + 17 = 0, 2*a + m + 2*m = -10 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 5*z - 1. Let l = -11 - -12. Let k be s(l). Suppose 71 = 5*x + 4*q, k*x + 5*q = 83 - 28. Is 5 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.122464 years in centuries?\nAnswer: 0.02122464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15462 is divided by 343?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of -14450*t**3\/3 - 340*t**2 - 8*t + 120. Factor b(q).\nAnswer: -2*(85*q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -531303 rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -0*d + 32. Suppose -4*z = -5*z. Suppose z = -c + 2*c - d. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 PM and 10:37 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(1 - 1\/(-2)). Let y = -1 - -0.7. Which is the nearest to 1? (a) m (b) 3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1631*k**4 + 26023*k.\nAnswer: -19572*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*v + 23180 = -13*v. Is 46 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3*f + 3. Let i be (-42)\/(-63) + (-10)\/6. Let o be c(i). Solve -4*s = -4*w + 8 - o, -2*s = 5*w - 17 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 5*r - 1215, -5*r + 14 + 1181 = 5*m. List the prime factors of m.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16302806.\nAnswer: 2, 13, 607, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1383781580 to the nearest integer?\nAnswer: 37199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*h + 50*h - 2*g = 20*h - 300, 27*h + 5*g = -1620 for h.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -46 + 36. Suppose q - 3*n = -3, -l*q = -q - 4*n + 12. Sort 4, 3, -4, q in decreasing order.\nAnswer: 4, 3, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.84 - -4.84. Which is the closest to 2\/9? (a) 1\/2 (b) 0 (c) m (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 4\/27 (c) 1\/6 (d) 3427\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 72\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i - 5. Let m be c(-5). Suppose -3*q = 4*d + 11, 4*d + 6 = -2*q - 0. Sort 4, m, q in decreasing order.\nAnswer: 4, m, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55157, 110316, 165479, 220646, 275817?\nAnswer: 330992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 24\/(-32) - 9\/(-12). Suppose -4*d + 8 = a, 10*t - 6*t - 3*d - 10006 = 0. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -12*z**2 + z + 232. Determine q(-5).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4911 and 3.\nAnswer: -14733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-7)*(-714)\/204?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -16, -108, -338, -766, -1452, -2456, -3838?\n\"Answer: -10*g**3 - 9*g**2 + 5*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 40 - 43. Let o be -2 + (-4)\/6*d. Suppose o*k - 46 = -k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-12)\/30)\/((-3)\/930). Suppose 0*t - n = -4*t. What are the prime factors of t?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-2) - 1) + (-18870)\/(-2516)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3*y**3 + 9*y + 9. Let t be f(-5). Let m = t + 389. Which is the third smallest value? (a) 1\/2 (b) 2\/3 (c) m (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1844 + 2330. What is the smallest common multiple of r and 9?\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*c - 4*u + u, -c + 2*u = -1. Let a be (5 - c)\/(2 + 0). Which is greater: a or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2963 in 15\/71, -2\/17, 0.5?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 313344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 188.8413l in millilitres?\nAnswer: 188841.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 158639709 to the nearest integer?\nAnswer: 12595","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of -177*l**6\/10 + 1241*l**3\/3 - 357*l**2 + l. Differentiate j(u) with respect to u.\nAnswer: -6372*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10595166?\nAnswer: 2, 3, 1765861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -3. Suppose 2*s = -3*h + 19, -x - 2 = 3*s - 2*h. What is the third derivative of 2*a**2 - a**4 - a**2 + s*a**4 wrt a?\nAnswer: 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.15444 rounded to one dp?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 160 = 344. Let s = -447 + 671. What is the highest common divisor of s and b?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x - 4, x = 2*j + 15 - 13 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 6. Let q be 2\/(g\/1) - 1. Solve 0 = -n - 3 - q for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (22 + -29) - 7.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-2))\/(7\/(-1))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132 (base 8) to base 15.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 564 and 46890?\nAnswer: 4407660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637)*2*3)**2.\nAnswer: 22932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -7, 1\/4, 2\/3, 5, 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**3 - 3*p**2 - p - 3. Let d = 15 - 12. What is the units digit of z(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -349665?\nAnswer: 349667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3311*a + 127525309 - 127525309.\nAnswer: 3311*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 3 + 0 - (5 - 8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -508 - -775. Let j = 267 - b. Solve s - 5*s - 16 = j for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/1*(-1)\/(-1). Let m(t) = t + 1. Let q(i) = -3*i**3 - 39*i**2 - 145*i - 109. Let a be (11 + -1)*115\/1150. Let g(x) = a*m(x) + b*q(x). Factor g(n).\nAnswer: -3*(n + 1)*(n + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10100100 (base 2) in base 15?\nAnswer: -ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l - 3*v + 26, l - 29 = 6*l - 2*v for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000163396 rounded to 7 dps?\nAnswer: 0.0000163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 408 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4*m - 6 = 0, 6*x - 4 = 2*x + 4*m. What is the third derivative of -7*h**x + 4*h**3 - 5*h**2 - h**3 - 4*h**3 wrt h?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2543*a = -3627*a - 5420 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -40.114043 rounded to 1 decimal place?\nAnswer: -40.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -41*g**3 + 14390*g**2 + 356*g - 1759. Give p(351).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 30 = a, 2*l + 0 + 10 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n - 11*n + 9*n.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 - 13*k - 7. Is 4 a factor of h(15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 73907*h**3 + 249*h**2 + 19*h - 11?\nAnswer: 443442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 950 - 648. Suppose -2*u = -b + 68. What is the greatest common factor of u and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eight fifteenths of a day?\nAnswer: 768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.5479 + 0.0479. Sort 2\/9, -3, s, -1\/3, 111 in ascending order.\nAnswer: -3, s, -1\/3, 2\/9, 111","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 209493321 to the nearest integer?\nAnswer: 594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.7856 + 0.785598641. What is z rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 8:44 PM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 10 = 5*i, 11 - 14 = 3*b. Solve 0 = 4*d - 13 - i for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17832 is divided by 143.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 3*u = -6*v + 9, -7 = -v + 3*u for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 9:16 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fttt when four letters picked without replacement from {t: 17, f: 3}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -647, -3121, -7231, -12965, -20311?\nAnswer: -29257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 4*f = -3514 + 3504, n - 5*f - 18 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/4 in -11, 20\/9, -33, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/8*-3*4. Let f be (-51)\/(-60) - (-1)\/(-4). What is the closest to 3\/2 in f, 4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 76*n - 69*n + 1771. Let r = n - -272. What is the highest common divisor of 247 and r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a litre in millilitres?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v = 9*v - 306. Let x = v - -512\/5. Which is the nearest to -1.6? (a) x (b) 0.5 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - f + 22 = 0, -26 = -k + 6*k - 2*f. List the prime factors of (-3)\/(-1)*(-14)\/k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + k + 4 = 3*k, 4*k = -8. Suppose -5*t + 1111 = z, g*t = -z - 0*z + 888. Does 17 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42017 (base 9) to base 8.\nAnswer: 66106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o - 6. Let x be v(-5). Let j = 10 + x. Calculate the greatest common factor of 9 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11436 by -5718.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 52012063 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: Let n = 12 + -12. Suppose n = q - 5 + 2. What are the prime factors of (-4)\/2 + q + 32?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-10) + 1008\/40. Suppose 5*z = -0*z + j, -5*y = 4*z - 160. What are the prime factors of (-9)\/(-6)*y\/3?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -12 and -103\/9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -56882*k**6 - 460*k**2 + 2*k + 3 wrt k.\nAnswer: -6825840*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-5))\/(4*(-2)\/20).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*q = -124*q + 18*q + 48 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -11 (b) 5 (c) -68128\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -580 - 1041 + 2667 - 11*z**2 - 1046.\nAnswer: -11*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t\/((t\/(t*t*t\/(t\/(t\/((t*t\/(t*t\/(t**(-2\/3)*t)))\/t)*t))))\/t*t))*t)**(3\/20)*(t*t*t*t*(t**1*t)\/t)**(3\/5) assuming t is positive.\nAnswer: t**(11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 + 6*c**2 - 3. Let o(y) = y**2 + 1. Let p(h) = -k(h) + 2*o(h). Let g = -5 + -3. Let t = 12 + g. Give p(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 465*u + 12312 = -3963 for u.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in five eighths of a second?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8578.\nAnswer: 2, 4289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.76323 * -0.2.\nAnswer: 0.152646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*a**4 - 29462*a**3 + 19650*a**2 + 29462*a - 19644 = 0. Calculate a.\nAnswer: -4911, -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -492 = -2*m - 2*m. Let z = m - 126. What is the smallest value in 0.1, z, -0.02?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 15 = -3*j. Is j at least as big as 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4758 and 5600.\nAnswer: 13322400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 + 59 - 4*v**3 - 8*v**3 + 28*v - 6*v + v**3 + 10*v**3. Is o(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((j*((j*j*j**(2\/41))\/j)\/j)\/j*j)\/j)\/j)\/(j*j**(-5)))\/(j*j\/j**(2\/15)*j*j**(-10)*j) assuming j is positive.\nAnswer: j**(5647\/615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211422314 (base 5) to base 3.\nAnswer: -1200011121001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1768\/24 + (-1)\/(-3). Let z = -50 + w. Does 24 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 + 16.1. Suppose -5*f = -7*f + 18. Let p be 2\/f*-21 + 6\/9. Which is the biggest value? (a) p (b) g (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28046579 divided by -6259\nAnswer: -4481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1006?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -507*q**3*z**4 + 2*q**3*z - 312*q**2*z wrt z?\nAnswer: -6084*q**3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, a: 1, n: 2}. What is prob of sequence xn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -6*s**2 - 13*s - 23. Let j be l(11). Let n = -393 - j. What is the hundreds digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 543*f - 547*f = -v + 48 - 3, -v + 233 = 38*f + 6*f for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2 + 1*sqrt(2) - (-2 + sqrt(72) + -4))**2.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**1*n)**(3\/5)\/(n**6*n*n*n**(1\/2)) assuming n is positive.\nAnswer: n**(-67\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6\/3 - 5) + 1700\/408)*292\/13797.\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 18.4624mg?\nAnswer: 0.0000000184624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 727771 or 727749?\nAnswer: 727749","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 6) in base 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2104121020 + 21?\nAnswer: 2104121041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -11*a**2 - a. Let l be d(-1). Let s = -8 - l. Suppose 0 = v + s*v, m + v - 8 = 0. Is m equal to 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/s**6)*s)**33 assuming s is positive.\nAnswer: s**231","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4c45 - -5?\nAnswer: -4c40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 12:55 AM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -313 - -1177. Is q a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -797614360 rounded to the nearest one hundred thousand?\nAnswer: -797600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 3 = 3*x, -4 = -5*l - 19. Suppose -3*y - 15 = 0, -82 = -5*d + 3*y - 27. What is the lowest common multiple of (-8 + 6)*(x + -4) and d?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of 3*p**4\/4 + 58*p**3\/3 + 9*p**2 + 14*p - 77. Calculate the lowest common multiple of m(-19) and 4.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q + 17. Let t be k(6). Suppose -4*n = -t*n + 8. What is the smallest common multiple of 20 and (12\/n*1)\/((-3)\/(-160))?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157717.\nAnswer: 7, 22531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19724 is divided by 75?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/((-4)\/(12\/9))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + q + 12. Let h be -1*(-3)\/6*6. Suppose -j = -4*o + h, 4*o - 2 = 5*j - 3. Put q, o, 2 in descending order.\nAnswer: 2, o, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 559 = 79*u + 243. Solve u*q = 0, 2*n = -3*n + 5*q for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 6*p**3 - p**2 + 5*p + 1. Let h(i) = i**3 + i. Let o = 78 + -73. Let k(y) = o*h(y) - w(y). Give k(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -48 + (-7 - -8) - (55 + -64).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.5 - 1.3. What is the nearest to 0 in 6, w, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -0.4, -1922 in descending order.\nAnswer: 2\/9, -0.4, -1922","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 85 + -337\/4. Let k(y) be the first derivative of 3\/4*y**2 + 3\/10*y**5 + 1\/4*y**6 + 3\/2*y - y**3 + 1 - l*y**4. Suppose k(b) = 0. What is b?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 less than 47.0908777?\nAnswer: 88.0908777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -60799206*t**3 - 28226205*t.\nAnswer: -364795236*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -380082 (base 11) to base 7\nAnswer: -5050232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 4*c**2 - 4676*c + 91795. What is n(20)?\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or -162528?\nAnswer: -162528","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 20 = -2*n, 0 = -4*s + 54*n - 53*n + 45 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1432850088 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/32 and 101\/64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*(v**41*v)\/v)*v*v**(-3\/7))**7 assuming v is positive.\nAnswer: v**(-283)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(68) + sqrt(68)*-1) - -6*2*sqrt(68))*1)\/(((sqrt(168)\/sqrt(3))\/sqrt(2))\/(2*sqrt(63) - sqrt(63))).\nAnswer: 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1086, -4299, -9654, -17151, -26790, -38571?\n\"Answer: -1071*l**2 - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 402098*l**2*v**2 + 757*l**2 - l*v**2 - 2*v**2 - 328*v wrt v?\nAnswer: 804196*l**2 - 2*l - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**4\/11 - 90*q**3\/11 - 174*q**2\/11 - 86*q\/11.\nAnswer: -2*q*(q + 1)**2*(q + 43)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 8:51 AM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2507 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-2)*14 + 3090\/450?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3197882 or -307?\nAnswer: -307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16223305?\nAnswer: 5, 7, 463523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 9*k + 2. Let x be ((-2)\/(-1))\/2 - 0. Is i(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49 + (-68 - (-89503)\/767)\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2095*l + 2451*l - 1287 - 18293 for l.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 123 - 121. What is the first derivative of -t*m**2 - 5*m**2 + 5*m**2 - 2*m + 83 - 19*m**2 wrt m?\nAnswer: -42*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.3 - -0.3. Let z = -0.514 + 0.314. Let f = 62 - 497\/8. Put z, f, q in descending order.\nAnswer: f, z, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1095.\nAnswer: 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-24)\/18*293)\/(1\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -11*k + 2*k - 7*k + 2*k. Let n(p) = 2*p**2. Calculate n(j(u)).\nAnswer: 392*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -15*3*(-5)\/15. Let f be 2\/(7\/(-3) + 3). Solve f*r + 20 = 4*b - 3*b, o = 3*b for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-5 + -5*(((-1 + sqrt(19))*4 - (sqrt(19) - (sqrt(19)*1 + 3))) + (sqrt(19) + sqrt(19) + -1 + -5 + sqrt(19) - (sqrt(1216) + -1))))**2 + -5).\nAnswer: 250*sqrt(19) + 1095","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(2*sqrt(11)*-3) + -1.\nAnswer: -1 - sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 - l. Let n be h(1). Suppose -3*i + i = n. Let f(j) = 112*j - 115. Let b be f(1). Sort b, i, -4 in decreasing order.\nAnswer: i, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -305*l - 89. Is w(-26) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.85 + 6. Let k = a + -0.132. Let g = k + -0.01767. What is g rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39005784 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 970.4 rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.1+-8165398123\nAnswer: -8165398123.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = 2*a - 14, -9*a - 21 = 3*d - 6*a for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.7 - -1.4?\nAnswer: -9.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 347372400 to the nearest one hundred thousand.\nAnswer: 347400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4784, 4782, 4780, 4778, 4776?\nAnswer: 4774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2866.434 weeks?\nAnswer: 481560.912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 5008*l + 1011570. Determine j(-202).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 3*q + a = 29, 5*q = -3*a - 15. Let z be 0 + 3 + -5 - (q + -1). Let s(m) = -m + 3 - z + 3. Let t(y) = 7*y - 7. Calculate 6*s(f) + t(f).\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -8.3*-307\nAnswer: 2548.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of n**6\/360 + n**5\/20 + n**4\/8 - n**3\/6 + 6*n**2. Let v(q) be the first derivative of c(q). Determine v(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 36*x**3 + 2*x**2 - x - 2. Let n be k(-1). Let f = n - -26. What is the units digit of 4*11 + f\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l**5 + 588*l**4 + 26540*l**3 + 362708*l**2 + 1279152*l - 1668992 = 0.\nAnswer: -68, -59, -13, -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**2 - 5 + 13 - 9 - 2*o. Let y be m(2). Is 1 at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.11 - 0.91. Let r = 0.2 + s. Let y = r - 0.4. Put 1, y, 4\/5 in ascending order.\nAnswer: y, 4\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46367 is divided by 374?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0)**(16\/7)*h**(-3)*h**(-8) assuming h is positive.\nAnswer: h**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, -23, 2, 5 in decreasing order.\nAnswer: 5, 2, -2, -3, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 k when four letters picked without replacement from {b: 7, k: 6}.\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1351.989 - 0.111. Let u = -1349.0966 - x. Let t = -3 + u. What is t rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/4 and -55\/93464?\nAnswer: 93464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3\/19 - 46\/171. Let p be (-10)\/(-35) - (-18)\/(-14). Let k be p*(-2 + 20\/8). What is the second smallest value in 2\/13, o, k?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + -1 - (-18 - -9 - (-15 - -26))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = -6*d + 1288. Suppose -5*l - 2 + 42 = 0. What is the lowest common multiple of l and d?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + 21*i**2 - 10*i + 1163. Determine c(15).\nAnswer: 2363","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -9*y**2 - 7*y - 2. Let w(r) = 4*r**2 + 3*r + 1. Suppose -4*u - 2*u + 12 = 0. Give u*l(c) + 5*w(c).\nAnswer: 2*c**2 + c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.58 + -0.18. Let l = w - 1.5. Let x = 0.01 + 2.99. Which is the nearest to l? (a) 5 (b) -3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14*t**4 + 593*t**3 + 4*t**2 - t - 1132719.\nAnswer: 56*t**3 + 1779*t**2 + 8*t - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1431864 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 21443393317 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-3) - 1\/(-3). Suppose -4*n + d + 14 = 0, d = 2*n - 7 + l. Does 4 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2744 (base 8) to base 10\nAnswer: 1508","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a meter in millimeters?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of p**2 + 87. Let d(z) = -2*z**2 - 88. Calculate f(d(s)).\nAnswer: -4*s**2 - 176","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -11 + 110*s**3 - 8*s - 58*s**3 - 53*s**3 + 7*s**2. Let g be r(5). Let u(n) = 10*n**3 + 2*n**2 + 2*n + 1. Determine u(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5*((-2)\/(-4))\/(10\/24). Find the second derivative of -5*j - 3*j**5 - 6*j**5 - 11*j**5 - x*j wrt j.\nAnswer: -400*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -238, -3, 34, -2\/3, -4 in descending order.\nAnswer: 34, 2, -2\/3, -3, -4, -238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 80738921 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -4*b + 20. Let i be (-404)\/((-4)\/2) - 4. Let o = i + -193. Solve o*f - 20 = b*k, 8 = 4*f - 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/21 and -121\/24388.\nAnswer: 73164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 411*y - 19*y + 615*y - 17600 = 207*y for y.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**2 + 6. Let r(g) = -6*g**2 + 4677*g. Determine r(f(q)).\nAnswer: -24*q**4 + 9210*q**2 + 27846","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -0.44.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11.53 and -293.4.\nAnswer: 3382.902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-92644.\nAnswer: 46322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12272 and 12480.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tototoftawwttwwfoatt. What is prob of sequence wfof?\nAnswer: 4\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 31 and -8.\nAnswer: -248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}